1 #LyX 2.4 created this file. For more info see https://www.lyx.org/
5 \save_transient_properties false
6 \origin /systemlyxdir/doc/ja/
9 % DO NOT ALTER THIS PREAMBLE!!!
11 % This preamble is designed to ensure that the file prints
12 % out as advertised. If you mess with this preamble,
13 % parts of this document may not print out as expected. If you
14 % have problems LaTeXing this file, please contact
15 % the documentation team
16 % email: lyx-docs@lists.lyx.org
18 % solves the following problem:
19 % If the dection number consits of too many numerals the section heading
20 % will be printed in the TOC without a space between it and the section number.
21 % As solution more space between the number and the heading is inserted:
22 \renewcommand{\l@subsection}{\@dottedtocline{2}{1.5em}{2.8em}}
23 \renewcommand{\l@subsubsection}{\@dottedtocline{3}{4.3em}{3.6em}}
25 % To be able to enter some characters directly in LyX,
27 %\DeclareInputText{176}{\ifmmode^\circ\else\textdegree\fi}
28 %\DeclareInputText{183}{\ifmmode\cdot\else\textperiodcentered\fi}
30 % increase link area for cross-references and autoname them,
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34 % \renewcommand{\sectionautorefname}{sec.\negthinspace}
35 % \renewcommand{\subsectionautorefname}[1]{sec.\negthinspace}
36 % \renewcommand{\subsubsectionautorefname}{sec.\negthinspace}
39 % don't load packages twice
40 % see first footnote in sec. 9.3
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43 % the pages of the TOC are numbered roman
44 % and a PDF-bookmark for the TOC is added
46 \let\myTOC\tableofcontents
47 \renewcommand{\tableofcontents}{%
49 \pdfbookmark[1]{\contentsname}{}
52 \pagenumbering{arabic}}
54 % add 0.5 mm vertical space for table rows
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58 % insert additional vertical space of 1.5 mm between footnotes,
60 \renewcommand{\footnote}[1]{\myFoot{#1\vspace{1.5mm}}}
62 % makes caption labels bold
63 %\setkomafont{captionlabel}{\bfseries}
65 % enables calculation of values
68 % for multiple columns used in sec. 24.7
74 % for the Fourier transformation symbol
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80 % declare operators (see sec. 10.4 and sec. 15.2)
81 \DeclareMathOperator*{\Lozenge}{\blacklozenge}
82 \DeclareMathOperator{\sgn}{sgn}
84 % example definitions for sec. 20.1
85 \newcommand{\gr}{\Longrightarrow}
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88 \newcommand{\cb}[3][white]{\fcolorbox{#2}{#1}{$#3$}}
89 \newcommand{\fracS}[3][]{\genfrac{}{}{#1}{}{#2}{#3}}
91 % example macro from sec. 19.4
93 %\def\tagform@#1{\maketag@@@{|#1|}}
96 % ------------------------------------
97 % used to check for needed LaTeX packages
100 % check for package undertilde
101 % used for the command \utilde
102 \newboolean{undertilde}
103 \IfFileExists{undertilde.sty}
104 {\usepackage{undertilde}
105 \setboolean{undertilde}{true}}
106 {\setboolean{undertilde}{false}}
108 % check for package eurosym
109 % used for the Euro symbol
111 \IfFileExists{eurosym.sty}
112 {\usepackage[gennarrow]{eurosym}
113 \setboolean{eurosym}{true}}
114 {\setboolean{eurosym}{false}}
116 % needed in sec. 22.4
117 % check for package braket
119 \IfFileExists{braket.sty}
121 \setboolean{braket}{true}}
122 {\setboolean{braket}{false}}
124 % check for package cancel
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128 \setboolean{cancel}{true}}
129 {\setboolean{cancel}{false}}
131 % needed in sec. 22.10
132 % check for package upgreek
134 \IfFileExists{upgreek.sty}
135 {\usepackage{upgreek}
136 \setboolean{upgreek}{true}}
137 {\setboolean{upgreek}{false}}
139 % make pdf bookmark sane with Japanese
140 \AtBeginDvi{\special{pdf:tounicode EUC-UCS2}}
142 \renewcommand{\seename}{→}
144 \options bibliography=totoc,index=totoc,BCOR7.5mm,titlepage,captions=tableheading,samesize,bookmarkpackage=false
145 \use_default_options true
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152 \language_package default
155 \font_roman "lmodern" "IPAexMincho"
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168 \default_output_format default
170 \bibtex_command default
171 \index_command default
172 \float_placement class
173 \float_alignment class
174 \paperfontsize default
177 \pdf_title "LyX's Math Manual"
178 \pdf_author "LyX Team, Uwe Stohr"
179 \pdf_subject "LyX-documentation about math"
180 \pdf_keywords "LyX, Mathed"
182 \pdf_bookmarksnumbered true
183 \pdf_bookmarksopen true
184 \pdf_bookmarksopenlevel 1
185 \pdf_breaklinks false
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190 \pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue, pdfpagelayout=OneColumn, pdfnewwindow=true, pdfstartview=XYZ, plainpages=false"
193 \use_package amsmath 2
194 \use_package amssymb 2
195 \use_package cancel 1
197 \use_package mathdots 1
198 \use_package mathtools 2
199 \use_package mhchem 1
200 \use_package stackrel 1
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228 \quotes_style english
232 \paperpagestyle plain
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238 \html_be_strict false
254 \begin_layout Plain Layout
256 コメントや誤りの修正などがございましたら,\SpecialChar LyX
260 \begin_inset CommandInset href
262 name "lyx-docs@lists.lyx.org"
263 target "lyx-docs@lists.lyx.org?subject=LyX's Math manual"
277 \begin_inset Note Note
280 \begin_layout Plain Layout
287 \begin_inset Newline newline
291 \begin_inset Newline newline
299 \begin_layout Standard
300 \begin_inset CommandInset toc
301 LatexCommand tableofcontents
308 \begin_layout Standard
309 \begin_inset Note Note
312 \begin_layout Plain Layout
313 この文書をPDFやPS,DVIに書き出すには,\SpecialChar LaTeX
342 が導入されている必要があります.これらが導入されていなくても文書はエクスポートできますが,パッケージを必要とする節は出力には現れません.また,
346 が導入されていないと,本ファイルを書き出すことができません.
349 \begin_layout Plain Layout
351 \begin_inset Newline newline
356 https://wiki.lyx.org/LyX/Manuals#Math
357 \begin_inset Newline newline
370 \begin_layout Standard
371 \begin_inset Newpage newpage
377 \begin_layout Section
381 \begin_layout Standard
382 この文書は,\SpecialChar LyX
383 の数式機能の説明書であると同時に,なによりも数式記号および数式要素に使用される\SpecialChar LaTeX
384 コマンドのコレクションでもあります.説明は,コマンドの使用を念頭に置い
389 の節をすでにお読みになっていることを前提としています.
392 \begin_layout Standard
393 この説明書で説明されている,ほとんどの数式記号と,数式要素の多くは,
395 挿入\SpecialChar menuseparator
402 からアクセスすることが可能です.しかし,たくさんの数式を書かなくてはならない人はみな,数式ツールバーを使うよりもコマンドを使った方がずっと速いことに気付くことに
403 なるのです.したがって,この説明書はコマンドに焦点を当てますが,対応するツールバーボタンが利用可能なときには,それにも言及することにします.
406 \begin_layout Standard
407 とくに断らなければ,コマンドは数式内からのみ利用可能です.この文書で説明されているすべてのコマンドを利用できるようにするためには,文書設定(
409 文書\SpecialChar menuseparator
410 設定\SpecialChar menuseparator
421 \begin_layout Plain Layout
426 オプションは,\SpecialChar LyX
427 でサポートされている数式要素が見つかったときのみ,
431 \begin_layout Plain Layout
448 \begin_layout Standard
449 説明を明瞭にするために,この文書はすべての
453 \begin_layout Plain Layout
466 \begin_layout Plain Layout
471 \begin_layout Plain Layout
483 \begin_inset CommandInset href
486 target "https://www.ctan.org/tex-archive/macros/amstex/doc/amsguide.pdf"
493 ファイルに収録されています.このファイルは,すべての\SpecialChar LaTeX
502 \begin_layout Section
506 \begin_layout Standard
508 \begin_inset Index idx
511 \begin_layout Plain Layout
512 すうしき @ 数式 ! ぎょうない @ 行内
518 \begin_inset Flex Ruby
521 \begin_layout Plain Layout
523 \begin_inset Argument post:1
526 \begin_layout Plain Layout
543 のうちのいずれか,あるいはツールバーボタン
550 \begin_inset Newline newline
553 大きく別の段落として表示される別行立て数式
554 \begin_inset Index idx
557 \begin_layout Plain Layout
558 すうしき @ 数式 ! べつぎょうだてようしき @ 別行立て様式
572 \begin_layout Standard
573 別行立て様式の数式を行内数式に変更するには,カーソルを数式内に合わせて
581 編集\SpecialChar menuseparator
582 数式\SpecialChar menuseparator
585 メニューを使用して下さい.同じ方法が,行内数式を別行立て数式に変更するのにも使用できます.
588 \begin_layout Standard
589 行内数式の一部を別行立て数式の大きさで表示するには,
594 \begin_inset Index idx
597 \begin_layout Plain Layout
609 を数式に入力して下さい.すると,青いボックスが新規に現れて,希望する数式の箇所を挿入することができます.
612 \begin_layout Standard
613 表の中では,行内数式のみの使用が許されています.
616 \begin_layout Standard
623 表示\SpecialChar menuseparator
626 メニューで表示することができます.そのメニューで「数式」をクリックすると,ツールバーが下部に永続的に表示されます.この状態は,
630 メニューの中ではチェック印で表されます.この状態から,
634 メニューの「数式」をもう一度クリックすると,数式ツールバーは,カーソルが数式内部にあるときのみ表示されるようになります.この状態は,メニュー項目が「数式」から「
638 \begin_layout Standard
641 \begin_inset Index idx
644 \begin_layout Plain Layout
645 T exもーど@\SpecialChar TeX
659 挿入\SpecialChar menuseparator
669 \begin_inset Note Note
672 \begin_layout Plain Layout
674 には,出力においては上付き文字と下付き文字とで表示される三つの「固有名詞」,\SpecialChar TeX
677 があります.これらの名称が,固有名詞として認識されるのを防ぐために,ここでは\SpecialChar TeX
687 \begin_layout Standard
690 \begin_inset Index idx
693 \begin_layout Plain Layout
694 L atexぷりあんぶる@\SpecialChar LaTeX
702 文書\SpecialChar menuseparator
703 設定\SpecialChar menuseparator
709 \begin_layout Standard
710 行列や場合分け,多行数式を続けて編集するには,
712 編集\SpecialChar menuseparator
717 編集\SpecialChar menuseparator
720 メニューを使うか,表ツールバーを使用することができます.メニューから行や列を交換するように指定されたときには,カーソルのある列や行は,それぞれ右側の列や下の行と
721 交換されます.カーソルが最後の列や行にあるときには,左の列や上の行と交換されることになります.
724 \begin_layout Standard
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737 \begin_inset CommandInset ref
739 reference "subsec:多行数式中のテキスト"
753 \begin_inset Index idx
756 \begin_layout Plain Layout
757 てきすと @ テキスト ! すうしきちゅうの @ 数式中の
763 \begin_inset Index idx
766 \begin_layout Plain Layout
785 \begin_inset Index idx
788 \begin_layout Plain Layout
796 コマンドを挿入することで入ることができます.テキストは,\SpecialChar LyX
797 中では黒字で表示されるので,青字で表示される他の数式部分とは区別することができます.出力においては,数式
798 テキストは,他の数式部分とは違って,アップライト体に組まれます.
801 \begin_layout Subsection*
805 \begin_layout Standard
806 数式要素に使われるほとんどの\SpecialChar LaTeX
807 コマンドは,以下のような構成になっています.
810 \begin_layout Standard
818 \begin_layout Standard
825 」で始まります.非必須の引数を省略するときには,随伴する括弧も省略しなくてはなりません.必須引数の前後の括弧は,この文書中では,\SpecialChar TeX
827 \begin_inset Index idx
830 \begin_layout Plain Layout
831 T exかっこ@\SpecialChar TeX
837 と呼ぶことにします.数式中でコマンド名に左括弧を付けると,\SpecialChar LyX
838 は自動的に\SpecialChar TeX
845 コマンドを使えば,つねに\SpecialChar TeX
846 括弧を生成することができます.\SpecialChar LyX
847 中で,青字で表示される通常の括弧とは違って,\SpecialChar TeX
848 括弧は赤字で表示されます.\SpecialChar TeX
849 モード中では,\SpecialChar TeX
851 コマンドは必要としません.また,\SpecialChar TeX
855 \begin_layout Standard
856 記号のコマンドのように引数のないコマンドを\SpecialChar TeX
857 モードに入力するときには,コマンドの終わりを表すために,コマンドの後に空白が
861 入力されなくてはなりません.この空白は出力中には現れません.空白を出力中に表示したいときには,空白の後に,通常テキストモードの保護された空白が来なくてはなりませ
865 \begin_layout Standard
869 arg "command-alternatives space-insert protected ; math-space"
873 \begin_inset Flex Ruby
876 \begin_layout Plain Layout
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881 \begin_layout Plain Layout
895 \begin_layout Subsection*
896 \begin_inset Newpage newpage
902 \begin_layout Itemize
904 \begin_inset space \textvisiblespace{}
910 \begin_layout Itemize
911 \begin_inset Formula $\to$
914 のような矢印は,キーボードから対応する矢印
915 \begin_inset Flex Ruby
918 \begin_layout Plain Layout
920 \begin_inset Argument post:1
923 \begin_layout Plain Layout
937 \begin_layout Subsection*
941 \begin_layout Standard
943 \begin_inset Float table
950 \begin_layout Plain Layout
952 \begin_inset Caption Standard
954 \begin_layout Plain Layout
955 \begin_inset CommandInset label
969 \begin_layout Plain Layout
972 <lyxtabular version="3" rows="13" columns="2">
973 <features booktabs="true" tabularvalignment="middle">
974 <column alignment="center" valignment="top" width="0pt">
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1125 \begin_layout Plain Layout
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1144 \begin_layout Plain Layout
1150 <cell alignment="center" valignment="top" usebox="none">
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1178 <cell alignment="center" valignment="top" usebox="none">
1181 \begin_layout Plain Layout
1183 \begin_inset Formula $\,$
1187 \begin_inset Formula $\approx$
1191 \begin_inset Formula $\,$
1201 <cell alignment="center" valignment="top" usebox="none">
1204 \begin_layout Plain Layout
1210 <cell alignment="center" valignment="top" usebox="none">
1213 \begin_layout Plain Layout
1215 \begin_inset Formula $\,$
1219 \begin_inset Formula $\,$
1229 <cell alignment="center" valignment="top" usebox="none">
1232 \begin_layout Plain Layout
1238 <cell alignment="center" valignment="top" usebox="none">
1241 \begin_layout Plain Layout
1249 <cell alignment="center" valignment="top" usebox="none">
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1258 <cell alignment="center" valignment="top" usebox="none">
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1283 \begin_inset space \thinspace{}
1287 \begin_inset Formula $\nicefrac{1}{18}$
1291 \begin_inset space \thinspace{}
1312 \begin_layout Standard
1313 \begin_inset Newpage newpage
1319 \begin_layout Section
1323 \begin_layout Subsection
1325 \begin_inset Index idx
1328 \begin_layout Plain Layout
1335 \begin_inset Index idx
1338 \begin_layout Plain Layout
1345 \begin_inset Index idx
1348 \begin_layout Plain Layout
1353 \begin_layout Plain Layout
1364 \begin_layout Plain Layout
1377 \begin_inset Index idx
1380 \begin_layout Plain Layout
1385 \begin_layout Plain Layout
1396 \begin_layout Plain Layout
1411 \begin_layout Standard
1412 添字は,アンダースコア「_」を打鍵するか,数式ツールバーボタン
1415 arg "math-subscript"
1418 を使って入力することができ,指数は,キャレット「^」を打鍵するか,数式ツールバーボタン
1421 arg "math-superscript"
1427 \begin_layout Standard
1429 \begin_inset Tabular
1430 <lyxtabular version="3" rows="4" columns="2">
1431 <features booktabs="true" tabularvalignment="middle">
1432 <column alignment="center" valignment="top" width="0pt">
1433 <column alignment="center" valignment="top" width="0pt">
1435 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
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1444 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
1447 \begin_layout Plain Layout
1455 <cell alignment="center" valignment="top" usebox="none">
1458 \begin_layout Plain Layout
1464 <cell alignment="center" valignment="top" usebox="none">
1467 \begin_layout Plain Layout
1468 \begin_inset Formula $B_{V}$
1477 <row topspace="1.5mm">
1478 <cell alignment="center" valignment="top" usebox="none">
1481 \begin_layout Plain Layout
1487 <cell alignment="center" valignment="top" usebox="none">
1490 \begin_layout Plain Layout
1491 \begin_inset Formula $B^{V}$
1500 <row topspace="1.5mm">
1501 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
1504 \begin_layout Plain Layout
1506 \begin_inset space \textvisiblespace{}
1514 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
1517 \begin_layout Plain Layout
1518 \begin_inset Formula $B^{A}$
1534 \begin_layout Standard
1535 キャレットは,言語によってはアクセント記号として使用されているので,そのような場合には,母音字の後でキャレットを押すと,指数にならずにアクセントをつけることにな
1540 \begin_layout Plain Layout
1541 使用しているキーボード設定によっては,同様のことが母音以外の文字でも起こることがあります.
1546 .この場合に指数を作るには,上記の最後の例のように,キャレットの後に
1553 \begin_layout Subsection
1555 \begin_inset CommandInset label
1562 \begin_inset Index idx
1565 \begin_layout Plain Layout
1574 \begin_layout Standard
1582 \begin_inset Index idx
1585 \begin_layout Plain Layout
1596 arg "math-insert \\frac"
1599 で作ることができます.フォント寸法は,分数が行内数式にあるか別行立て数式にあるかに応じて,自動的に調整されます.数式ツールバーボタン
1602 arg "math-insert \\frac-square"
1605 を使えば,分数の種類を選ぶことができます.
1608 \begin_layout Standard
1616 \begin_inset Index idx
1619 \begin_layout Plain Layout
1627 を使えば,つねに別行立て数式の大きさを持つ分数を作成することができます.また,コマンド
1634 \begin_inset Index idx
1637 \begin_layout Plain Layout
1645 では,つねに行内数式の大きさで分数が表示されます.以下はこれらの例です.
1648 \begin_layout Standard
1656 \begin_inset Formula $\frac{1}{2}$
1662 \begin_layout Standard
1670 \begin_inset Formula $\dfrac{1}{2}$
1676 \begin_layout Standard
1678 \begin_inset Tabular
1679 <lyxtabular version="3" rows="4" columns="2">
1680 <features booktabs="true" tabularvalignment="middle">
1681 <column alignment="center" valignment="top" width="0pt">
1682 <column alignment="center" valignment="top" width="0pt">
1684 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
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1693 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
1696 \begin_layout Plain Layout
1703 <row topspace="1.5mm">
1704 <cell alignment="center" valignment="top" usebox="none">
1707 \begin_layout Plain Layout
1711 \begin_inset space \textvisiblespace{}
1715 \begin_inset Formula $\downarrow$
1723 <cell alignment="center" valignment="top" usebox="none">
1726 \begin_layout Plain Layout
1727 \begin_inset Formula $\frac{A}{B}$
1736 <row topspace="2mm">
1737 <cell alignment="center" valignment="top" usebox="none">
1740 \begin_layout Plain Layout
1744 \begin_inset space \textvisiblespace{}
1748 \begin_inset Formula $\downarrow$
1756 <cell alignment="center" valignment="top" usebox="none">
1759 \begin_layout Plain Layout
1760 \begin_inset Formula $\dfrac{A}{B}$
1769 <row topspace="2mm" bottomspace="1mm">
1770 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
1773 \begin_layout Plain Layout
1777 \begin_inset space \textvisiblespace{}
1783 \begin_inset space \textvisiblespace{}
1787 \begin_inset Formula $\downarrow$
1791 \begin_inset Formula $\downarrow\downarrow$
1799 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
1802 \begin_layout Plain Layout
1803 \begin_inset Formula $\dfrac{e^{\frac{1}{2}}}{3}$
1819 \begin_layout Standard
1820 \begin_inset VSpace bigskip
1824 \begin_inset Newpage newpage
1834 \begin_inset Index idx
1837 \begin_layout Plain Layout
1846 \begin_inset VSpace -3mm
1852 \begin_layout Standard
1853 \begin_inset Formula
1855 \textrm{\textbf{\textbackslash frac}を使用して作成} & & \textrm{\textbf{\textbackslash cfrac}を使用して作成}\\
1856 \frac{A}{B+\frac{C+\frac{E}{F}}{D}} & & \cfrac{A}{B+\cfrac{C+\cfrac{E}{F}}{D}}
1864 \begin_layout Standard
1868 \begin_layout Standard
1877 \begin_layout Plain Layout
1887 \begin_inset Formula $\downarrow$
1896 \begin_layout Plain Layout
1911 \begin_layout Plain Layout
1921 \begin_inset Formula $\downarrow$
1925 \begin_inset Formula $\downarrow$
1931 \begin_layout Standard
1935 \begin_layout Standard
1936 \begin_inset VSpace medskip
1942 \begin_layout Standard
1949 は,他の分数中に入れ子になっている場合も含め,分数をつねに別行立て数式の大きさに設定します.
1952 \begin_layout Standard
1953 分子の揃え方は,指定することができます.
1971 は中央揃えです.以下の各分数は,それぞれの揃え位置を示しています.
1974 \begin_inset Formula
1976 \cfrac[l]{A}{B+C}\,,\,\cfrac{A}{B+C}\,,\,\cfrac[r]{A}{B+C}
1984 \begin_layout Standard
1985 \begin_inset Note Greyedout
1988 \begin_layout Plain Layout
2001 は,生粋の\SpecialChar LaTeX
2008 です.したがって,これらを\SpecialChar TeX
2017 \begin_layout Standard
2018 \begin_inset VSpace medskip
2034 \begin_inset Formula
2036 \cfrac{A}{B+\cfrac{C+\frac{E}{F}}{D}}
2044 \begin_layout Standard
2045 斜めの分数線を持つ行内分数を作るには,コマンド
2052 \begin_inset Index idx
2055 \begin_layout Plain Layout
2064 \begin_inset Formula $\nicefrac{5}{31}$
2074 \begin_inset Index idx
2077 \begin_layout Plain Layout
2086 \begin_inset Formula $\unitfrac{5}{31}$
2090 \begin_inset Formula $\unitfrac[2]{1}{3}$
2102 \begin_layout Standard
2103 \begin_inset Note Greyedout
2106 \begin_layout Plain Layout
2117 は生粋の\SpecialChar LaTeX
2119 \begin_inset Newline newline
2126 unitfrac[自然数]{分子}{分母}
2128 というコマンドなので,\SpecialChar TeX
2137 \begin_layout Standard
2138 分数線を変更できるような独自の分数の定義のしかたは,第
2139 \begin_inset CommandInset ref
2141 reference "subsec:自己定義の分数"
2148 \begin_layout Standard
2150 \begin_inset CommandInset ref
2152 reference "subsec:多行にわたる分数"
2159 \begin_layout Subsection
2161 \begin_inset Index idx
2164 \begin_layout Plain Layout
2171 \begin_inset Index idx
2174 \begin_layout Plain Layout
2179 \begin_layout Plain Layout
2190 \begin_layout Plain Layout
2205 \begin_layout Standard
2213 \begin_inset Index idx
2216 \begin_layout Plain Layout
2227 arg "math-insert \\sqrt"
2230 で作成することができ,他のすべての根号は,コマンド
2237 \begin_inset Index idx
2240 \begin_layout Plain Layout
2251 arg "math-insert \\root"
2257 \begin_layout Standard
2259 \begin_inset Tabular
2260 <lyxtabular version="3" rows="3" columns="2">
2261 <features booktabs="true" tabularvalignment="middle">
2262 <column alignment="center" valignment="top" width="0pt">
2263 <column alignment="center" valignment="top" width="0pt">
2265 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2268 \begin_layout Plain Layout
2274 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2277 \begin_layout Plain Layout
2284 <row topspace="1mm">
2285 <cell alignment="center" valignment="top" usebox="none">
2288 \begin_layout Plain Layout
2292 \begin_inset space \textvisiblespace{}
2300 <cell alignment="center" valignment="top" usebox="none">
2303 \begin_layout Plain Layout
2304 \begin_inset Formula $\sqrt{A-B}$
2313 <row topspace="1mm">
2314 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2317 \begin_layout Plain Layout
2321 \begin_inset space \textvisiblespace{}
2325 \begin_inset Formula $\downarrow$
2333 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2336 \begin_layout Plain Layout
2337 \begin_inset Formula $\sqrt[3]{A-B}$
2353 \begin_layout Standard
2354 平方根は,根号指数フィールドを空白のままにしておけば,
2363 \begin_layout Standard
2364 \begin_inset Formula $\sqrt[\beta]{B}$
2367 の例のように,指数のとる値によっては,根号への距離が近すぎることがあります.
2368 \begin_inset Newline newline
2372 \begin_inset Formula $\beta$
2375 が根号に触れてしまいます.これを避けるためには,以下のようなコマンド書式で,コマンド
2382 \begin_inset Index idx
2385 \begin_layout Plain Layout
2400 \begin_inset Index idx
2403 \begin_layout Plain Layout
2414 \begin_layout Standard
2428 \begin_layout Standard
2429 ここで「距離」は,指数を左あるいは上に動かす,Big Point(単位bp;
2430 \begin_inset Formula $\mathrm{72\,bp=1}$
2433 インチ)での数値です.これらのコマンドは,指数に書き込みます.このようにして,コマンド
2434 \begin_inset Newline newline
2444 \begin_inset Formula $\to$
2450 \begin_inset Formula $\to$
2456 \begin_inset space \textvisiblespace{}
2460 \begin_inset Formula $\to$
2464 \begin_inset Newline newline
2470 \begin_inset Formula $\sqrt[\leftroot{-1}\uproot{2}\beta]{B}$
2476 \begin_layout Subsection
2478 \begin_inset Index idx
2481 \begin_layout Plain Layout
2490 \begin_layout Standard
2498 \begin_inset Index idx
2501 \begin_layout Plain Layout
2512 arg "math-insert \\frac-square"
2515 の小メニューを使って挿入することができます.分数(
2532 \begin_inset Index idx
2535 \begin_layout Plain Layout
2552 \begin_inset Index idx
2555 \begin_layout Plain Layout
2563 があります.二項係数のまわりの括弧に,他の括弧を使うには,コマンド
2570 \begin_inset Index idx
2573 \begin_layout Plain Layout
2588 \begin_inset Index idx
2591 \begin_layout Plain Layout
2602 \begin_layout Standard
2604 \begin_inset Tabular
2605 <lyxtabular version="3" rows="6" columns="2">
2606 <features booktabs="true" tabularvalignment="middle">
2607 <column alignment="center" valignment="top" width="0pt">
2608 <column alignment="center" valignment="top" width="0pt">
2610 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2613 \begin_layout Plain Layout
2619 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2622 \begin_layout Plain Layout
2629 <row topspace="1mm">
2630 <cell alignment="center" valignment="top" usebox="none">
2633 \begin_layout Plain Layout
2637 \begin_inset space \textvisiblespace{}
2641 \begin_inset Formula $\downarrow$
2649 <cell alignment="center" valignment="top" usebox="none">
2652 \begin_layout Plain Layout
2653 \begin_inset Formula $\binom{A}{B}$
2662 <row topspace="2mm">
2663 <cell alignment="center" valignment="top" usebox="none">
2666 \begin_layout Plain Layout
2670 \begin_inset space \textvisiblespace{}
2674 \begin_inset Formula $\downarrow$
2682 <cell alignment="center" valignment="top" usebox="none">
2685 \begin_layout Plain Layout
2686 \begin_inset Formula $\dbinom{A}{B}$
2695 <row topspace="2mm" bottomspace="0.5mm">
2696 <cell alignment="center" valignment="top" usebox="none">
2699 \begin_layout Plain Layout
2703 \begin_inset space \textvisiblespace{}
2707 \begin_inset Formula $\downarrow$
2715 <cell alignment="center" valignment="top" usebox="none">
2718 \begin_layout Plain Layout
2719 \begin_inset Formula $\tbinom{A}{B}$
2728 <row topspace="1mm">
2729 <cell alignment="center" valignment="top" topline="true" usebox="none">
2732 \begin_layout Plain Layout
2736 \begin_inset space \textvisiblespace{}
2740 \begin_inset Formula $\downarrow$
2748 <cell alignment="center" valignment="top" topline="true" usebox="none">
2751 \begin_layout Plain Layout
2752 \begin_inset Formula ${A \brack B}$
2761 <row topspace="2mm" bottomspace="0.5mm">
2762 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2765 \begin_layout Plain Layout
2769 \begin_inset space \textvisiblespace{}
2773 \begin_inset Formula $\downarrow$
2781 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2784 \begin_layout Plain Layout
2785 \begin_inset Formula ${A \brace B}$
2801 \begin_layout Subsection
2803 \begin_inset Index idx
2806 \begin_layout Plain Layout
2815 \begin_layout Standard
2817 \begin_inset Tabular
2818 <lyxtabular version="3" rows="3" columns="2">
2819 <features booktabs="true" tabularvalignment="middle">
2820 <column alignment="center" valignment="top" width="0pt">
2821 <column alignment="center" valignment="top" width="0pt">
2823 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2826 \begin_layout Plain Layout
2832 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2835 \begin_layout Plain Layout
2843 <cell alignment="center" valignment="top" usebox="none">
2846 \begin_layout Plain Layout
2850 \begin_inset space \textvisiblespace{}
2854 \begin_inset Formula $\to$
2858 \begin_inset Formula $>$
2862 \begin_inset Index idx
2865 \begin_layout Plain Layout
2878 <cell alignment="center" valignment="top" usebox="none">
2881 \begin_layout Plain Layout
2882 \begin_inset Formula $\begin{cases}
2892 <row topspace="1.5mm">
2893 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2896 \begin_layout Plain Layout
2900 \begin_inset space \textvisiblespace{}
2906 arg "newline-insert newline"
2914 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2917 \begin_layout Plain Layout
2918 \begin_inset Formula $\begin{cases}
2919 A & \textrm{for }x>0\\
2920 B & \textrm{for }x=0
2937 \begin_layout Standard
2947 arg "math-insert \\cases"
2951 \begin_inset Flex Ruby
2954 \begin_layout Plain Layout
2956 \begin_inset Argument post:1
2959 \begin_layout Plain Layout
2973 arg "newline-insert newline"
2979 arg "tabular-feature append-row"
2982 を使えば,新しい行を作ることができます.
2985 \begin_layout Standard
2994 挿入\SpecialChar menuseparator
2995 数式\SpecialChar menuseparator
3001 \begin_layout Subsection
3003 \begin_inset Index idx
3006 \begin_layout Plain Layout
3015 \begin_layout Standard
3023 \begin_inset Index idx
3026 \begin_layout Plain Layout
3034 を挿入することで,すべての文字を取り消し形で表示できます.文字はスラッシュを上書きされた形になります.
3037 \begin_layout Standard
3039 \begin_inset Tabular
3040 <lyxtabular version="3" rows="4" columns="2">
3041 <features booktabs="true" tabularvalignment="middle">
3042 <column alignment="center" valignment="top" width="0pt">
3043 <column alignment="center" valignment="top" width="0pt">
3045 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3048 \begin_layout Plain Layout
3054 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3057 \begin_layout Plain Layout
3065 <cell alignment="center" valignment="top" usebox="none">
3068 \begin_layout Plain Layout
3076 <cell alignment="center" valignment="top" usebox="none">
3079 \begin_layout Plain Layout
3080 \begin_inset Formula $\not=$
3090 <cell alignment="center" valignment="top" usebox="none">
3093 \begin_layout Plain Layout
3103 <cell alignment="center" valignment="top" usebox="none">
3106 \begin_layout Plain Layout
3107 \begin_inset Formula $\not\le$
3117 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3120 \begin_layout Plain Layout
3130 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3133 \begin_layout Plain Layout
3134 \begin_inset Formula $\not\parallel$
3150 \begin_layout Standard
3151 最後の例が示すように,すべての否定形がきれいに出力されるわけではありません.このことから,否定形に専用のコマンドを持つものもあります(第
3152 \begin_inset CommandInset ref
3154 reference "subsec:数学記号"
3159 \begin_inset CommandInset ref
3168 \begin_layout Subsection
3170 \begin_inset CommandInset label
3177 \begin_inset Index idx
3180 \begin_layout Plain Layout
3187 \begin_inset Index idx
3190 \begin_layout Plain Layout
3191 かがくきごう@化学記号 ! どういたい@同位体
3197 \begin_inset Index idx
3200 \begin_layout Plain Layout
3205 \begin_layout Plain Layout
3216 \begin_layout Plain Layout
3229 \begin_inset Index idx
3232 \begin_layout Plain Layout
3237 \begin_layout Plain Layout
3248 \begin_layout Plain Layout
3263 \begin_layout Standard
3268 \begin_layout Plain Layout
3270 \begin_inset CommandInset ref
3272 reference "subsec:化学記号と化学式"
3281 を表示しようとすると,次のような問題が起こります.
3284 \begin_layout Standard
3286 \begin_inset Tabular
3287 <lyxtabular version="3" rows="2" columns="2">
3288 <features booktabs="true" tabularvalignment="middle">
3289 <column alignment="center" valignment="top" width="0pt">
3290 <column alignment="center" valignment="top" width="0pt">
3292 <cell alignment="center" valignment="top" usebox="none">
3295 \begin_layout Plain Layout
3296 上付き文字と下付き文字を使用して作った指数:
3301 <cell alignment="center" valignment="top" usebox="none">
3304 \begin_layout Plain Layout
3305 \begin_inset Formula $_{9}^{19}\mathrm{F}$
3314 <row topspace="1.5mm">
3315 <cell alignment="center" valignment="top" usebox="none">
3318 \begin_layout Plain Layout
3324 <cell alignment="center" valignment="top" usebox="none">
3327 \begin_layout Plain Layout
3328 \begin_inset Formula $_{\phantom{1}9}^{19}\mathrm{F}$
3344 \begin_layout Standard
3345 短い方の指数は,既定で,長い方の指数の一文字目の下ないし上に配置されてしまいます.これを避けるには,一文字ないし複数の空の文字を生成するコマンド
3352 \begin_inset Index idx
3355 \begin_layout Plain Layout
3367 \begin_layout Plain Layout
3371 arg "math-insert \\space"
3391 を挿入すると,二つの赤い矢印が重なった青枠が表示されます.矢印は,箱の中身の幅と高さの両方が,埋め草(指定した文字と同じ大きさの余白を確保するために使われる空打
3392 ち文字)として適用されることを示しています.したがって,
3398 の作る文字は,箱の中身の文字の大きさを持つ埋め草となります.
3401 \begin_layout Standard
3403 \begin_inset Tabular
3404 <lyxtabular version="3" rows="4" columns="2">
3405 <features booktabs="true" tabularvalignment="middle">
3406 <column alignment="center" valignment="top" width="0pt">
3407 <column alignment="center" valignment="top" width="0pt">
3409 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3412 \begin_layout Plain Layout
3418 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3421 \begin_layout Plain Layout
3428 <row topspace="1.5mm">
3429 <cell alignment="center" valignment="top" usebox="none">
3432 \begin_layout Plain Layout
3434 \begin_inset space \textvisiblespace{}
3440 \begin_inset space \textvisiblespace{}
3444 \begin_inset Formula $\to$
3448 \begin_inset space \textvisiblespace{}
3456 <cell alignment="center" valignment="top" usebox="none">
3459 \begin_layout Plain Layout
3460 \begin_inset Formula $_{\phantom{1}9}^{19}\mathrm{F}$
3469 <row topspace="1.5mm" bottomspace="0.5mm">
3470 <cell alignment="center" valignment="top" usebox="none">
3473 \begin_layout Plain Layout
3475 \begin_inset space \textvisiblespace{}
3481 \begin_inset space \textvisiblespace{}
3485 \begin_inset Formula $\to$
3489 \begin_inset space \textvisiblespace{}
3497 <cell alignment="center" valignment="top" usebox="none">
3500 \begin_layout Plain Layout
3501 \begin_inset Formula $_{\phantom{23}9}^{235}\mathrm{F}$
3510 <row topspace="1.5mm" bottomspace="0.5mm">
3511 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3514 \begin_layout Plain Layout
3518 \begin_inset space \textvisiblespace{}
3524 \begin_inset space \textvisiblespace{}
3528 \begin_inset Formula $\to$
3532 \begin_inset space \textvisiblespace{}
3540 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3543 \begin_layout Plain Layout
3544 \begin_inset Formula $\Lambda_{MMt}^{\phantom{ii}t}$
3560 \begin_layout Standard
3568 \begin_inset Index idx
3571 \begin_layout Plain Layout
3580 \begin_inset space ~
3596 \begin_inset Index idx
3599 \begin_layout Plain Layout
3608 \begin_inset space ~
3623 は,枠内部の文字の最大高のみの空白を作り,幅は考慮しません.
3629 は,枠の内容の幅のみの空白を作ります.このことから,これらの枠は一本の赤矢印のみで表示されます.
3632 \begin_layout Standard
3640 \begin_inset space \textvisiblespace{}
3653 \begin_layout Plain Layout
3661 \begin_inset CommandInset ref
3663 reference "subsec:大演算子"
3672 が最大高の文字なので,積分記号の高さを持つ空白を作ります.実際の適用例については,第
3673 \begin_inset CommandInset ref
3675 reference "subsec:多行にわたる括弧"
3682 \begin_layout Standard
3685 挿入\SpecialChar menuseparator
3686 整形\SpecialChar menuseparator
3689 を使えば,以下のように本文中でも使用することができます.
3692 \begin_layout Standard
3694 \begin_inset Newline newline
3698 \begin_inset Phantom Phantom
3701 \begin_layout Plain Layout
3710 \begin_layout Subsection
3712 \begin_inset Index idx
3715 \begin_layout Plain Layout
3722 \begin_inset Index idx
3725 \begin_layout Plain Layout
3732 \begin_inset Index idx
3735 \begin_layout Plain Layout
3740 \begin_layout Plain Layout
3751 \begin_layout Plain Layout
3766 \begin_layout Standard
3768 \begin_inset Tabular
3769 <lyxtabular version="3" rows="4" columns="2">
3770 <features booktabs="true" tabularvalignment="middle">
3771 <column alignment="center" valignment="top" width="0pt">
3772 <column alignment="center" valignment="top" width="0pt">
3774 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3777 \begin_layout Plain Layout
3783 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3786 \begin_layout Plain Layout
3793 <row topspace="2mm">
3794 <cell alignment="center" valignment="top" usebox="none">
3797 \begin_layout Plain Layout
3801 \begin_inset space \textvisiblespace{}
3805 \begin_inset Index idx
3808 \begin_layout Plain Layout
3821 <cell alignment="center" valignment="top" usebox="none">
3824 \begin_layout Plain Layout
3825 \begin_inset Formula $\overline{A+B}$
3834 <row bottomspace="1mm">
3835 <cell alignment="center" valignment="top" usebox="none">
3838 \begin_layout Plain Layout
3842 \begin_inset space \textvisiblespace{}
3846 \begin_inset Index idx
3849 \begin_layout Plain Layout
3862 <cell alignment="center" valignment="top" usebox="none">
3865 \begin_layout Plain Layout
3866 \begin_inset Formula $\underline{A+B}$
3875 <row topspace="2mm" bottomspace="1mm">
3876 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3879 \begin_layout Plain Layout
3883 \begin_inset space \textvisiblespace{}
3889 \begin_inset space \textvisiblespace{}
3897 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3900 \begin_layout Plain Layout
3901 \begin_inset Formula $\overline{\underline{A+B}}$
3917 \begin_layout Standard
3933 \begin_layout Standard
3943 \begin_layout Standard
3944 文字の上下6本の線まで引くことができます.
3947 \begin_layout Standard
3948 \begin_inset VSpace bigskip
3958 \begin_inset Index idx
3961 \begin_layout Plain Layout
3972 \begin_layout Standard
3977 rule[垂直オフセット幅]{長さ}{厚み}
3980 \begin_layout Standard
3985 」は,行を上方に(値が負であれば下方に)移動させます.値としては,第
3986 \begin_inset CommandInset ref
3988 reference "tab:使用できる単位"
3992 表に掲げてある単位を用いることができます.以下に,
3993 \begin_inset Newline newline
4000 rule[-2ex]{3cm}{2pt}
4007 \begin_inset Newline newline
4012 というコマンドを用いて作成したふたつの例を例示します.
4015 \begin_layout Standard
4017 \begin_inset Formula $\rule[-2ex]{3cm}{2pt}\rule{2cm}{1pt}$
4023 \begin_layout Standard
4028 挿入\SpecialChar menuseparator
4029 整形\SpecialChar menuseparator
4032 を使っても,本文に挿入することができます.
4035 \begin_layout Standard
4037 \begin_inset CommandInset line
4048 \begin_layout Subsection
4050 \begin_inset CommandInset label
4057 \begin_inset Index idx
4060 \begin_layout Plain Layout
4069 \begin_layout Standard
4070 省略符号には,いくつかの種類が使用できます
4074 \begin_layout Plain Layout
4078 arg "math-insert \\ldots"
4093 \begin_inset Index idx
4096 \begin_layout Plain Layout
4104 )を使用しますが,演算子の場合は,演算子と同じ高さの点々(
4111 \begin_inset Index idx
4114 \begin_layout Plain Layout
4129 \begin_inset Index idx
4132 \begin_layout Plain Layout
4140 コマンドを使うと,\SpecialChar LaTeX
4141 は次に来る文字がどのような種類の文字であるかによって,自動的にどの種類を使うかを選択します.
4144 \begin_layout Standard
4146 \begin_inset Tabular
4147 <lyxtabular version="3" rows="9" columns="2">
4148 <features booktabs="true" tabularvalignment="middle">
4149 <column alignment="center" valignment="top" width="0pt">
4150 <column alignment="center" valignment="top" width="0pt">
4152 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4155 \begin_layout Plain Layout
4161 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4164 \begin_layout Plain Layout
4172 <cell alignment="center" valignment="top" usebox="none">
4175 \begin_layout Plain Layout
4177 \begin_inset space \textvisiblespace{}
4183 \begin_inset space \textvisiblespace{}
4191 <cell alignment="center" valignment="top" usebox="none">
4194 \begin_layout Plain Layout
4195 \begin_inset Formula $A_{1},\dots,A_{n}$
4205 <cell alignment="center" valignment="top" usebox="none">
4208 \begin_layout Plain Layout
4210 \begin_inset space \textvisiblespace{}
4216 \begin_inset space \textvisiblespace{}
4224 <cell alignment="center" valignment="top" usebox="none">
4227 \begin_layout Plain Layout
4228 \begin_inset Formula $A_{1}+\dots+A_{n}$
4238 <cell alignment="center" valignment="top" usebox="none">
4241 \begin_layout Plain Layout
4243 \begin_inset space \textvisiblespace{}
4249 \begin_inset space \textvisiblespace{}
4257 <cell alignment="center" valignment="top" usebox="none">
4260 \begin_layout Plain Layout
4261 \begin_inset Formula $A_{1},\ldots,A_{n}$
4271 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
4274 \begin_layout Plain Layout
4276 \begin_inset space \textvisiblespace{}
4282 \begin_inset space \textvisiblespace{}
4290 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
4293 \begin_layout Plain Layout
4294 \begin_inset Formula $A_{1}+\cdots+A_{n}$
4304 <cell alignment="center" valignment="top" usebox="none">
4307 \begin_layout Plain Layout
4315 <cell alignment="center" valignment="top" usebox="none">
4318 \begin_layout Plain Layout
4319 \begin_inset Formula $\vdots$
4329 <cell alignment="center" valignment="top" usebox="none">
4332 \begin_layout Plain Layout
4340 <cell alignment="center" valignment="top" usebox="none">
4343 \begin_layout Plain Layout
4344 \begin_inset Formula $\ddots$
4354 <cell alignment="center" valignment="top" usebox="none">
4357 \begin_layout Plain Layout
4365 <cell alignment="center" valignment="top" usebox="none">
4368 \begin_layout Plain Layout
4369 \begin_inset Formula $\iddots$
4379 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4382 \begin_layout Plain Layout
4384 \begin_inset Formula $3\times3$
4392 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4395 \begin_layout Plain Layout
4396 \begin_inset Formula $\begin{array}{ccc}
4397 A_{11} & \cdots & A_{1m}\\
4398 \vdots & \ddots & \vdots\\
4399 A_{n1} & \cdots & A_{nm}
4416 \begin_layout Standard
4419 挿入\SpecialChar menuseparator
4431 \begin_layout Standard
4432 \begin_inset VSpace medskip
4447 mathdotsパッケージを(自動的に)使う
4449 オプションのうちいずれかを有効にしなくてはなりません.
4450 \begin_inset Newline newline
4457 オプションを使用すると,文書中のフォント様式や寸法が既定値でないときのあらゆるドットの表示が改善されます.
4460 \begin_layout Standard
4461 \begin_inset VSpace medskip
4464 とくに行列には,複数列にわたることのできる省略符号があります.これは,以下の書式を持つ
4471 \begin_inset Index idx
4474 \begin_layout Plain Layout
4485 \begin_layout Standard
4493 \begin_layout Standard
4494 ここで「列数」は,何列に広げるかを指定します.「距離」は,点々のあいだの距離を示す因子です.
4497 \begin_layout Standard
4510 コマンドの2倍の点間距離を持つ省略符号を挿入しています.
4511 \begin_inset Formula
4513 \left(\begin{array}{cccc}
4522 省略符号を広げる対象となる行列フィールドは空白にしておく必要があることに注意して下さい.さもないと\SpecialChar LaTeX
4526 \begin_layout Standard
4527 \begin_inset VSpace bigskip
4537 \begin_inset Index idx
4540 \begin_layout Plain Layout
4548 コマンドを使えば,行の残りを点々で埋めることもできます.このコマンドの働きは,
4555 \begin_inset CommandInset ref
4557 reference "subsec:可変長の空白"
4564 \begin_layout Standard
4570 \begin_inset space \textvisiblespace{}
4578 \begin_layout Standard
4579 \begin_inset Formula $A\dotfill B$
4585 \begin_layout Standard
4599 \begin_inset Index idx
4602 \begin_layout Plain Layout
4613 \begin_layout Standard
4614 \begin_inset Formula $A\hrulefill B$
4620 \begin_layout Standard
4621 があります.これらのコマンドを本文で使用するには,これらのコマンドは\SpecialChar TeX
4625 \begin_layout Section
4627 \begin_inset CommandInset label
4634 \begin_inset Index idx
4637 \begin_layout Plain Layout
4646 \begin_layout Standard
4650 arg "dialog-show mathmatrix"
4655 挿入\SpecialChar menuseparator
4656 数式\SpecialChar menuseparator
4659 メニューで挿入することができます.すると,行列の行数・列数・配置方法・装飾を尋ねられます.ここで垂直配置は,行内数式内の行列でのみ意味を持ちます.
4662 \begin_layout Standard
4664 \begin_inset Formula $\begin{array}[t]{cccc}
4672 \begin_inset Formula $\begin{array}{cccc}
4680 \begin_inset Formula $\begin{array}[b]{cccc}
4690 \begin_layout Standard
4691 水平配置は,各列がどのように配置されるべきかを指定します.これは,各列に対応した文字を一つずつ入力することによって設定します.
4703 は右寄せを意味します.たとえば,第1列が左寄せで第2列と第3列が中央揃え,第4列が右揃えの
4704 \begin_inset Formula $4\times4$
4711 と入力します.通常,行列では各列は中央揃えですから,各列の既定値は
4718 \begin_layout Standard
4722 \begin_layout Standard
4728 \begin_inset Formula $\begin{array}{lll}
4740 \begin_inset Formula $\begin{array}{ccc}
4752 \begin_inset Formula $\begin{array}{rrr}
4762 \begin_layout Standard
4763 つづいて行や列を追加したり削除したりするには,数式ツールバーボタンの
4766 arg "tabular-feature append-row"
4772 arg "tabular-feature delete-row"
4777 編集\SpecialChar menuseparator
4780 メニューを使用することができます.また,行は
4783 arg "newline-insert newline"
4789 \begin_layout Standard
4790 \begin_inset VSpace bigskip
4796 \begin_layout Standard
4801 は,行列の前後に選択した様式の括弧を加えます.他にも括弧は,
4808 \begin_inset Index idx
4811 \begin_layout Plain Layout
4826 \begin_inset Index idx
4829 \begin_layout Plain Layout
4838 \begin_inset Flex Ruby
4841 \begin_layout Plain Layout
4843 \begin_inset Argument post:1
4846 \begin_layout Plain Layout
4860 \begin_inset space ~
4866 \begin_inset CommandInset ref
4868 reference "subsec:自動の括弧丈"
4872 節を参照してください.あるいは,以下のコマンドを使うこともできます.
4873 \begin_inset VSpace medskip
4879 \begin_layout Standard
4880 \begin_inset space \hfill{}
4884 \begin_inset Tabular
4885 <lyxtabular version="3" rows="4" columns="2">
4886 <features booktabs="true" tabularvalignment="middle">
4887 <column alignment="center" valignment="top" width="0pt">
4888 <column alignment="center" valignment="top">
4890 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4893 \begin_layout Plain Layout
4899 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4902 \begin_layout Plain Layout
4909 <row topspace="1.5mm">
4910 <cell alignment="center" valignment="top" usebox="none">
4913 \begin_layout Plain Layout
4917 \begin_inset space \textvisiblespace{}
4921 \begin_inset Formula $2\times2$
4929 <cell alignment="center" valignment="top" usebox="none">
4932 \begin_layout Plain Layout
4933 \begin_inset Formula $\begin{bmatrix}\begin{array}{cc}
4934 0 & \textrm{-}\mathrm{i}\\
4936 \end{array}\end{bmatrix}$
4945 <row topspace="1.5mm" bottomspace="0.5mm">
4946 <cell alignment="center" valignment="top" usebox="none">
4949 \begin_layout Plain Layout
4953 \begin_inset space \textvisiblespace{}
4957 \begin_inset Formula $2\times2$
4965 <cell alignment="center" valignment="top" usebox="none">
4968 \begin_layout Plain Layout
4969 \begin_inset Formula $\begin{Bmatrix}\begin{array}{cc}
4970 0 & \textrm{-}\mathrm{i}\\
4972 \end{array}\end{Bmatrix}$
4982 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
4985 \begin_layout Plain Layout
4989 \begin_inset space \textvisiblespace{}
4993 \begin_inset Formula $2\times2$
5001 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5004 \begin_layout Plain Layout
5005 \begin_inset Formula $\begin{pmatrix}\begin{array}{cc}
5006 0 & \textrm{-}\mathrm{i}\\
5008 \end{array}\end{pmatrix}$
5022 \begin_inset space \hfill{}
5026 \begin_inset Tabular
5027 <lyxtabular version="3" rows="4" columns="2">
5028 <features booktabs="true" tabularvalignment="middle">
5029 <column alignment="center" valignment="top" width="0pt">
5030 <column alignment="center" valignment="top">
5032 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5035 \begin_layout Plain Layout
5041 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5044 \begin_layout Plain Layout
5051 <row topspace="1.5mm">
5052 <cell alignment="center" valignment="top" usebox="none">
5055 \begin_layout Plain Layout
5059 \begin_inset space \textvisiblespace{}
5063 \begin_inset Formula $2\times2$
5071 <cell alignment="center" valignment="top" usebox="none">
5074 \begin_layout Plain Layout
5075 \begin_inset Formula $\begin{vmatrix}\begin{array}{cc}
5076 0 & \textrm{-}\mathrm{i}\\
5078 \end{array}\end{vmatrix}$
5087 <row topspace="1.5mm" bottomspace="0.5mm">
5088 <cell alignment="center" valignment="top" usebox="none">
5091 \begin_layout Plain Layout
5095 \begin_inset space \textvisiblespace{}
5099 \begin_inset Formula $2\times2$
5107 <cell alignment="center" valignment="top" usebox="none">
5110 \begin_layout Plain Layout
5111 \begin_inset Formula $\begin{Vmatrix}\begin{array}{cc}
5112 0 & \textrm{-}\mathrm{i}\\
5114 \end{array}\end{Vmatrix}$
5124 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5127 \begin_layout Plain Layout
5131 \begin_inset space \textvisiblespace{}
5135 \begin_inset Formula $2\times2$
5143 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5146 \begin_layout Plain Layout
5147 \begin_inset Formula $\begin{matrix}\begin{array}{cc}
5148 0 & \textrm{-}\mathrm{i}\\
5150 \end{array}\end{matrix}$
5164 \begin_inset space \hfill{}
5170 \begin_layout Standard
5171 \begin_inset VSpace medskip
5180 などを挿入すると,青枠が二つの垂直線のあいだに現れるので,そこに行列を挿入することができます.
5183 \begin_layout Standard
5184 \begin_inset VSpace bigskip
5187 じつは多行数式はすべて行列なので,行列の各列の間隔を変更するには,第
5188 \begin_inset CommandInset ref
5190 reference "subsec:列間"
5201 \begin_inset Index idx
5204 \begin_layout Plain Layout
5215 \begin_layout Standard
5223 \begin_inset Index idx
5226 \begin_layout Plain Layout
5234 コマンドを使用します.以下のようにして使用します.
5237 \begin_layout Standard
5245 \begin_inset Index idx
5248 \begin_layout Plain Layout
5259 \begin_layout Standard
5272 コマンドに割り当てます.たとえば行間隔を2倍にするには,因子として2を指定して下さい.すると,以降の行列すべてにこれが使用されるようになります.元の間隔に戻すに
5282 \begin_layout Standard
5290 \begin_inset Index idx
5293 \begin_layout Plain Layout
5301 コマンドを使います.これを挿入すると,二つの点線に囲まれた青枠が現れます.この枠のなかに行列を入れることができます.
5304 \begin_layout Standard
5306 \begin_inset Formula $\left(\begin{smallmatrix}A & B\\
5308 \end{smallmatrix}\right)$
5314 \begin_layout Section
5316 \begin_inset Index idx
5319 \begin_layout Plain Layout
5326 \begin_inset Index idx
5329 \begin_layout Plain Layout
5338 \begin_layout Subsection
5340 \begin_inset Index idx
5343 \begin_layout Plain Layout
5345 \begin_inset space \thinspace{}
5356 \begin_layout Standard
5357 \begin_inset space \hfill{}
5361 \begin_inset Tabular
5362 <lyxtabular version="3" rows="9" columns="2">
5363 <features booktabs="true" tabularvalignment="middle">
5364 <column alignment="center" valignment="top" width="0pt">
5365 <column alignment="center" valignment="top" width="0pt">
5367 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5370 \begin_layout Plain Layout
5376 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5379 \begin_layout Plain Layout
5387 <cell alignment="center" valignment="top" usebox="none">
5390 \begin_layout Plain Layout
5396 <cell alignment="center" valignment="top" usebox="none">
5399 \begin_layout Plain Layout
5400 \begin_inset Formula $($
5410 <cell alignment="center" valignment="top" usebox="none">
5413 \begin_layout Plain Layout
5419 <cell alignment="center" valignment="top" usebox="none">
5422 \begin_layout Plain Layout
5423 \begin_inset Formula $\{$
5433 <cell alignment="center" valignment="top" usebox="none">
5436 \begin_layout Plain Layout
5442 <cell alignment="center" valignment="top" usebox="none">
5445 \begin_layout Plain Layout
5446 \begin_inset Formula $[$
5456 <cell alignment="center" valignment="top" usebox="none">
5459 \begin_layout Plain Layout
5467 <cell alignment="center" valignment="top" usebox="none">
5470 \begin_layout Plain Layout
5471 \begin_inset Formula $\langle$
5481 <cell alignment="center" valignment="top" usebox="none">
5484 \begin_layout Plain Layout
5492 <cell alignment="center" valignment="top" usebox="none">
5495 \begin_layout Plain Layout
5496 \begin_inset Formula $\lceil$
5506 <cell alignment="center" valignment="top" usebox="none">
5509 \begin_layout Plain Layout
5517 <cell alignment="center" valignment="top" usebox="none">
5520 \begin_layout Plain Layout
5521 \begin_inset Formula $\lfloor$
5531 <cell alignment="center" valignment="top" usebox="none">
5534 \begin_layout Plain Layout
5540 <cell alignment="center" valignment="top" usebox="none">
5543 \begin_layout Plain Layout
5544 \begin_inset Formula $/$
5554 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5557 \begin_layout Plain Layout
5563 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5566 \begin_layout Plain Layout
5567 \begin_inset Formula $|$
5581 \begin_inset space \hfill{}
5585 \begin_inset Tabular
5586 <lyxtabular version="3" rows="9" columns="2">
5587 <features booktabs="true" tabularvalignment="middle">
5588 <column alignment="center" valignment="top" width="0pt">
5589 <column alignment="center" valignment="top" width="0pt">
5591 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5594 \begin_layout Plain Layout
5600 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5603 \begin_layout Plain Layout
5611 <cell alignment="center" valignment="top" usebox="none">
5614 \begin_layout Plain Layout
5620 <cell alignment="center" valignment="top" usebox="none">
5623 \begin_layout Plain Layout
5624 \begin_inset Formula $)$
5634 <cell alignment="center" valignment="top" usebox="none">
5637 \begin_layout Plain Layout
5643 <cell alignment="center" valignment="top" usebox="none">
5646 \begin_layout Plain Layout
5647 \begin_inset Formula $\}$
5657 <cell alignment="center" valignment="top" usebox="none">
5660 \begin_layout Plain Layout
5666 <cell alignment="center" valignment="top" usebox="none">
5669 \begin_layout Plain Layout
5670 \begin_inset Formula $]$
5680 <cell alignment="center" valignment="top" usebox="none">
5683 \begin_layout Plain Layout
5691 <cell alignment="center" valignment="top" usebox="none">
5694 \begin_layout Plain Layout
5695 \begin_inset Formula $\rangle$
5705 <cell alignment="center" valignment="top" usebox="none">
5708 \begin_layout Plain Layout
5716 <cell alignment="center" valignment="top" usebox="none">
5719 \begin_layout Plain Layout
5720 \begin_inset Formula $\rceil$
5730 <cell alignment="center" valignment="top" usebox="none">
5733 \begin_layout Plain Layout
5741 <cell alignment="center" valignment="top" usebox="none">
5744 \begin_layout Plain Layout
5745 \begin_inset Formula $\rfloor$
5755 <cell alignment="center" valignment="top" usebox="none">
5758 \begin_layout Plain Layout
5768 <cell alignment="center" valignment="top" usebox="none">
5771 \begin_layout Plain Layout
5772 \begin_inset Formula $\backslash$
5782 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5785 \begin_layout Plain Layout
5793 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5796 \begin_layout Plain Layout
5797 \begin_inset Formula $\|$
5811 \begin_inset space \hfill{}
5817 \begin_layout Standard
5818 \begin_inset Note Greyedout
5821 \begin_layout Plain Layout
5831 コマンドはその場所に改行を入れてしまうので,バックスラッシュを入力するには
5838 \begin_inset Index idx
5841 \begin_layout Plain Layout
5857 \begin_layout Standard
5858 上に列挙した文字すべてについて,以下の二小節で説明されているコマンドを使って,大きさを調整することができます.これらのコマンドを使用するにあたっては,
5871 \begin_inset Formula $<$
5875 \begin_inset Formula $>$
5881 \begin_layout Subsubsection
5883 \begin_inset CommandInset label
5885 name "subsec:手動の括弧丈"
5890 \begin_inset Index idx
5893 \begin_layout Plain Layout
5902 \begin_layout Standard
5903 括弧の丈は,\SpecialChar LaTeX
5911 \begin_inset Index idx
5914 \begin_layout Plain Layout
5940 を使って,手動で指定することができます.
5955 \begin_layout Standard
5956 これらのコマンドは,括弧の階層を強調するのに使われます.
5959 \begin_layout Standard
5961 \begin_inset Tabular
5962 <lyxtabular version="3" rows="2" columns="2">
5963 <features booktabs="true" tabularvalignment="middle">
5964 <column alignment="center" valignment="top" width="0pt">
5965 <column alignment="center" valignment="top" width="0pt">
5967 <cell alignment="center" valignment="top" usebox="none">
5970 \begin_layout Plain Layout
5976 <cell alignment="center" valignment="top" usebox="none">
5979 \begin_layout Plain Layout
5980 \begin_inset Formula $((A+B)(A-B))^{C}$
5989 <row topspace="2mm">
5990 <cell alignment="center" valignment="top" usebox="none">
5993 \begin_layout Plain Layout
5999 <cell alignment="center" valignment="top" usebox="none">
6002 \begin_layout Plain Layout
6003 \begin_inset Formula $\Big((A+B)(A-B)\Big)^{C}$
6019 \begin_layout Standard
6027 \begin_inset space \textvisiblespace{}
6035 \begin_layout Standard
6039 \begin_layout Standard
6048 \begin_inset Formula $<$
6060 \begin_inset space \textvisiblespace{}
6068 \begin_inset space \textvisiblespace{}
6072 \begin_inset space \textvisiblespace{}
6078 \begin_inset Formula $>$
6086 \begin_layout Standard
6088 \begin_inset Formula $\Bigg(\exp\bigg<\Big[\big\{\ln(3x)\big\}^{2}\sin(x)\Big]^{A}\bigg>\Bigg)^{0,5}$
6094 \begin_layout Standard
6101 型コマンドの他に,括弧と中身のあいだにもう少し空白を加える
6108 \begin_inset Index idx
6111 \begin_layout Plain Layout
6132 \begin_inset Index idx
6135 \begin_layout Plain Layout
6155 は,左括弧であることを示し,右括弧の場合には,
6163 を用います.左括弧と右括弧は,それぞれ括弧の開始と終了に用いられます.
6166 \begin_layout Standard
6170 \begin_layout Standard
6172 \begin_inset Tabular
6173 <lyxtabular version="3" rows="5" columns="2">
6174 <features booktabs="true" tabularvalignment="middle">
6175 <column alignment="center" valignment="top" width="0pt">
6176 <column alignment="center" valignment="middle">
6178 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6181 \begin_layout Plain Layout
6187 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6190 \begin_layout Plain Layout
6197 <row topspace="2mm">
6198 <cell alignment="center" valignment="top" usebox="none">
6201 \begin_layout Plain Layout
6211 \begin_inset space \textvisiblespace{}
6221 <cell alignment="center" valignment="top" usebox="none">
6224 \begin_layout Plain Layout
6225 \begin_inset Formula $\Bigm(\bigm(\ln(3x)\bigm)^{2}\Bigm)$
6234 <row topspace="2mm">
6235 <cell alignment="center" valignment="top" usebox="none">
6238 \begin_layout Plain Layout
6248 \begin_inset space \textvisiblespace{}
6258 <cell alignment="center" valignment="top" usebox="none">
6261 \begin_layout Plain Layout
6262 \begin_inset Formula $\Big(\big(\ln(3x)\big)^{2}\Big)$
6271 <row topspace="2mm" bottomspace="0.5mm">
6272 <cell alignment="center" valignment="top" usebox="none">
6275 \begin_layout Plain Layout
6285 \begin_inset space \textvisiblespace{}
6295 <cell alignment="center" valignment="top" usebox="none">
6298 \begin_layout Plain Layout
6299 \begin_inset Formula $\Bigl(\bigl(\ln(3x)\bigr)^{2}\Bigr)$
6308 <row topspace="1.5mm" bottomspace="0.5mm">
6309 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6312 \begin_layout Plain Layout
6324 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6327 \begin_layout Plain Layout
6328 \begin_inset Formula $\bigl)\ln(3x)\bigr($
6344 \begin_layout Subsubsection
6346 \begin_inset CommandInset label
6348 name "subsec:自動の括弧丈"
6353 \begin_inset Index idx
6356 \begin_layout Plain Layout
6365 \begin_layout Standard
6373 \begin_inset Index idx
6376 \begin_layout Plain Layout
6391 \begin_inset Index idx
6394 \begin_layout Plain Layout
6402 コマンド,あるいは数式ツールバーボタンの
6405 arg "dialog-show mathdelimiter"
6420 の直後には,必要とする括弧を挿入しなくてはなりません.すると,括弧高は出力時に自動的に計算されます.
6423 \begin_layout Standard
6432 \begin_inset space \textvisiblespace{}
6436 \begin_inset Formula $\downarrow$
6440 \begin_inset space \textvisiblespace{}
6446 \begin_inset Formula
6456 \begin_layout Standard
6467 \begin_inset space \textvisiblespace{}
6471 \begin_inset Formula $\downarrow$
6475 \begin_inset space \textvisiblespace{}
6483 \begin_inset Formula
6485 \ln\left(\frac{A}{C}\right)
6493 \begin_layout Standard
6507 \begin_inset Flex Ruby
6510 \begin_layout Plain Layout
6512 \begin_inset Argument post:1
6515 \begin_layout Plain Layout
6529 \begin_inset space ~
6534 を使うこともできます.これを使うと,\SpecialChar LyX
6535 中で即座に実際の括弧高を確認することができるという利点と,対応する右括弧も生成されるという利点があります.
6536 \begin_inset Newline newline
6550 \begin_inset space \textvisiblespace{}
6554 \begin_inset Formula $\downarrow$
6562 \begin_layout Standard
6563 左括弧あるいは右括弧を省略するには,ドットを挿入します.たとえば,
6570 \begin_inset space \textvisiblespace{}
6574 \begin_inset Formula $\downarrow$
6578 \begin_inset space \textvisiblespace{}
6588 \begin_inset Formula
6590 \left.\frac{A}{B}\right\}
6609 コマンドは,文書が再度読み込まれたときには,\SpecialChar LyX
6610 によって正しい丈の括弧に変換され,省略された括弧は,点線として表示されます.
6613 \begin_layout Standard
6614 \begin_inset VSpace bigskip
6617 著名な\SpecialChar LaTeX
6618 頒布版は,すべて\SpecialChar LaTeX
6619 の拡張であるe\SpecialChar TeX
6620 を使用しているので,これらの頒布版では,すべての括弧および極限に対して
6627 \begin_inset Index idx
6630 \begin_layout Plain Layout
6642 \begin_layout Plain Layout
6654 コマンドは使えません.よって,以下の例では「
6661 \begin_inset Formula $|$
6671 \begin_inset Formula $|$
6680 \begin_inset Formula
6682 \left\langle \phi\:\biggm|\:J=\frac{3}{2}\,,\,M_{J}\right\rangle
6687 で必要とされるように,次に続く文字の高さは,囲まれる括弧の高さに調節されます.物理ベクトルに関しては,第
6688 \begin_inset CommandInset ref
6690 reference "subsec:物理ベクトル"
6694 節に説明されているように特殊な\SpecialChar LaTeX
6698 \begin_layout Subsection
6700 \begin_inset Index idx
6703 \begin_layout Plain Layout
6705 \begin_inset space \thinspace{}
6716 \begin_layout Standard
6718 \begin_inset Tabular
6719 <lyxtabular version="3" rows="4" columns="2">
6720 <features booktabs="true" tabularvalignment="middle">
6721 <column alignment="center" valignment="top" width="0pt">
6722 <column alignment="center" valignment="top" width="0pt">
6724 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6727 \begin_layout Plain Layout
6733 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6736 \begin_layout Plain Layout
6744 <cell alignment="center" valignment="top" usebox="none">
6747 \begin_layout Plain Layout
6751 \begin_inset space \textvisiblespace{}
6755 \begin_inset space \textvisiblespace{}
6759 \begin_inset space \textvisiblespace{}
6763 \begin_inset Index idx
6766 \begin_layout Plain Layout
6779 <cell alignment="center" valignment="top" usebox="none">
6782 \begin_layout Plain Layout
6783 \begin_inset Formula $\overbrace{A+B}^{3}$
6792 <row topspace="2mm">
6793 <cell alignment="center" valignment="top" usebox="none">
6796 \begin_layout Plain Layout
6800 \begin_inset space \textvisiblespace{}
6804 \begin_inset space \textvisiblespace{}
6808 \begin_inset Index idx
6811 \begin_layout Plain Layout
6824 <cell alignment="center" valignment="top" usebox="none">
6827 \begin_layout Plain Layout
6828 \begin_inset Formula $\underbrace{A+B}_{5}$
6838 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6841 \begin_layout Plain Layout
6845 \begin_inset space \textvisiblespace{}
6851 \begin_inset space \textvisiblespace{}
6855 \begin_inset space \textvisiblespace{}
6859 \begin_inset space \textvisiblespace{}
6863 \begin_inset space \textvisiblespace{}
6867 \begin_inset space \textvisiblespace{}
6871 \begin_inset space \textvisiblespace{}
6879 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6882 \begin_layout Plain Layout
6883 \begin_inset Formula $\overbrace{\underbrace{A+B_{w}}_{7}}^{C}$
6899 \begin_layout Standard
6912 が先に挿入されようが代わりはありません.
6915 \begin_layout Standard
6916 \begin_inset VSpace medskip
6922 \begin_layout Standard
6932 \begin_inset Index idx
6935 \begin_layout Plain Layout
6936 ぱっけーじ@パッケージ ! mathtools
6945 オプションを設定すると,以下のような角括弧が利用可能になります.
6948 \begin_layout Standard
6950 \begin_inset Tabular
6951 <lyxtabular version="3" rows="4" columns="2">
6952 <features booktabs="true" tabularvalignment="middle">
6953 <column alignment="center" valignment="top" width="0pt">
6954 <column alignment="center" valignment="top" width="0pt">
6956 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6959 \begin_layout Plain Layout
6965 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6968 \begin_layout Plain Layout
6976 <cell alignment="center" valignment="top" usebox="none">
6979 \begin_layout Plain Layout
6983 \begin_inset space \textvisiblespace{}
6987 \begin_inset Index idx
6990 \begin_layout Plain Layout
7003 <cell alignment="center" valignment="top" usebox="none">
7006 \begin_layout Plain Layout
7007 \begin_inset Formula $\overbracket{A+B}^{3}$
7016 <row topspace="2mm">
7017 <cell alignment="center" valignment="top" usebox="none">
7020 \begin_layout Plain Layout
7024 \begin_inset space \textvisiblespace{}
7028 \begin_inset Index idx
7031 \begin_layout Plain Layout
7046 <cell alignment="center" valignment="top" usebox="none">
7049 \begin_layout Plain Layout
7050 \begin_inset Formula $\underbracket{A+B}_{5}$
7060 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7063 \begin_layout Plain Layout
7069 \begin_inset space \textvisiblespace{}
7073 \begin_inset space \textvisiblespace{}
7077 \begin_inset space \textvisiblespace{}
7081 \begin_inset space \textvisiblespace{}
7085 \begin_inset space \textvisiblespace{}
7093 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7096 \begin_layout Plain Layout
7097 \begin_inset Formula $\overbracket{\underbracket{A+B_{w}}_{7}}^{C}$
7113 \begin_layout Standard
7126 に関しては,コマンドに続く角括弧中に,希望する厚みを指定すれば,以下のように,角括弧の筆跡の厚みに変更を加えることができます.
7129 \begin_layout Standard
7131 \begin_inset Tabular
7132 <lyxtabular version="3" rows="3" columns="2">
7133 <features booktabs="true" tabularvalignment="middle">
7134 <column alignment="center" valignment="top" width="0pt">
7135 <column alignment="center" valignment="top" width="0pt">
7137 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7140 \begin_layout Plain Layout
7146 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7149 \begin_layout Plain Layout
7157 <cell alignment="center" valignment="top" usebox="none">
7160 \begin_layout Plain Layout
7166 \begin_inset space \textvisiblespace{}
7174 <cell alignment="center" valignment="top" usebox="none">
7177 \begin_layout Plain Layout
7178 \begin_inset Formula $\overbracket[3pt]{A+B}^{3}$
7187 <row topspace="2mm">
7188 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7191 \begin_layout Plain Layout
7197 \begin_inset space \textvisiblespace{}
7205 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7208 \begin_layout Plain Layout
7209 \begin_inset Formula $\underbracket[1pt]{A+B}_{5}$
7225 \begin_layout Standard
7226 \begin_inset VSpace bigskip
7229 括弧をお互いに重ねる必要がある場合には,第
7230 \begin_inset CommandInset ref
7232 reference "sec:多行数式"
7236 節に説明されているように,次のような多行数式を使わなくてはなりません.
7237 \begin_inset Formula
7239 A & = & \underbrace{gggg+bbqq}_{r}+\:dddd\\
7240 & & \hphantom{gggg+\:}\underbrace{\hphantom{bbqq+dddd}}_{s}
7245 一行目には,数式が一つめの括弧とともに挿入されています.ここで,空白コマンド
7249 \begin_layout Plain Layout
7251 \begin_inset CommandInset ref
7253 reference "subsec:定義済みの空白"
7269 \begin_inset Formula $d$
7272 の前に挿入しておくことが重要です.さもないと,
7273 \begin_inset Formula $q$
7276 の後ろで終わる括弧のせいで,直後の「+」の周りに正しく空白が入ることが妨げられてしまう
7280 \begin_layout Plain Layout
7281 これは,括弧が文字として取り扱われないためです.第
7282 \begin_inset CommandInset ref
7284 reference "subsec:二項演算子"
7293 ためです.二行目には,二つめの括弧が挿入されています.
7294 \begin_inset Formula $b$
7309 \begin_layout Plain Layout
7317 \begin_inset CommandInset ref
7319 reference "subsec:埋め草"
7328 が挿入されています.この数式中の「+」も空白で囲まれるようにするために,この空白コマンドが必要になっています.二つめの括弧は
7337 \begin_layout Standard
7338 以下の例のように,括弧が反対側に重なる場合には,もっと複雑になります.
7342 \begin_layout Plain Layout
7354 \begin_inset Formula
7356 & & \hphantom{gggg+\:}\overbrace{\hphantom{bbqq+dddd}}^{s}\\
7357 A & = & \underbrace{gggg+bbqq}_{r}+\:dddd
7366 \begin_layout Plain Layout
7377 最初の数式行は,括弧が上に来ていること以外は,先の例の第二行と同じです.二行目には,二つめの括弧と一緒に数式が入っています.一行目の括弧と数式のあいだに余白が入
7378 ることを防ぐために,行間を減らさなくてはならないのですが,これは\SpecialChar LyX
7383 \begin_layout Plain Layout
7384 \begin_inset CommandInset href
7386 name "LyX-bug #1505"
7387 target "https://www.lyx.org/trac/ticket/1505"
7397 のせいで簡単にはできません.この問題を回避するためには,数式直前に\SpecialChar TeX
7404 というコマンドを入れて,大域的な数式行間
7411 \begin_inset Index idx
7414 \begin_layout Plain Layout
7423 \begin_inset space \thinspace{}
7432 は,数式直後に同様のコマンドを使って標準値の3
7433 \begin_inset space \thinspace{}
7436 ptに戻します.数式中の行間について,詳しくは第
7437 \begin_inset CommandInset ref
7439 reference "subsec:行間"
7446 \begin_layout Section
7448 \begin_inset Index idx
7451 \begin_layout Plain Layout
7460 \begin_layout Standard
7464 arg "math-insert \\leftarrow"
7467 か,以下の各小節に列挙してあるコマンドで挿入することができます.
7470 \begin_layout Subsection
7472 \begin_inset Index idx
7475 \begin_layout Plain Layout
7484 \begin_layout Standard
7485 \begin_inset space \hfill{}
7489 \begin_inset Tabular
7490 <lyxtabular version="3" rows="8" columns="2">
7491 <features booktabs="true" tabularvalignment="middle">
7492 <column alignment="center" valignment="top" width="0pt">
7493 <column alignment="center" valignment="top" width="0pt">
7495 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7498 \begin_layout Plain Layout
7504 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7507 \begin_layout Plain Layout
7515 <cell alignment="center" valignment="top" usebox="none">
7518 \begin_layout Plain Layout
7526 <cell alignment="center" valignment="top" usebox="none">
7529 \begin_layout Plain Layout
7530 \begin_inset Formula $\gets$
7540 <cell alignment="center" valignment="top" usebox="none">
7543 \begin_layout Plain Layout
7551 <cell alignment="center" valignment="top" usebox="none">
7554 \begin_layout Plain Layout
7555 \begin_inset Formula $\Leftarrow$
7565 <cell alignment="center" valignment="top" usebox="none">
7568 \begin_layout Plain Layout
7576 <cell alignment="center" valignment="top" usebox="none">
7579 \begin_layout Plain Layout
7580 \begin_inset Formula $\longleftarrow$
7590 <cell alignment="center" valignment="top" usebox="none">
7593 \begin_layout Plain Layout
7601 <cell alignment="center" valignment="top" usebox="none">
7604 \begin_layout Plain Layout
7605 \begin_inset Formula $\Longleftarrow$
7615 <cell alignment="center" valignment="top" usebox="none">
7618 \begin_layout Plain Layout
7626 <cell alignment="center" valignment="top" usebox="none">
7629 \begin_layout Plain Layout
7630 \begin_inset Formula $\leftharpoonup$
7640 <cell alignment="center" valignment="top" usebox="none">
7643 \begin_layout Plain Layout
7651 <cell alignment="center" valignment="top" usebox="none">
7654 \begin_layout Plain Layout
7655 \begin_inset Formula $\leftharpoondown$
7665 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7668 \begin_layout Plain Layout
7676 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7679 \begin_layout Plain Layout
7680 \begin_inset Formula $\hookleftarrow$
7694 \begin_inset space \hfill{}
7698 \begin_inset Tabular
7699 <lyxtabular version="3" rows="8" columns="2">
7700 <features booktabs="true" tabularvalignment="middle">
7701 <column alignment="center" valignment="top" width="0pt">
7702 <column alignment="center" valignment="top" width="0pt">
7704 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7707 \begin_layout Plain Layout
7713 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7716 \begin_layout Plain Layout
7724 <cell alignment="center" valignment="top" usebox="none">
7727 \begin_layout Plain Layout
7735 <cell alignment="center" valignment="top" usebox="none">
7738 \begin_layout Plain Layout
7739 \begin_inset Formula $\to$
7749 <cell alignment="center" valignment="top" usebox="none">
7752 \begin_layout Plain Layout
7760 <cell alignment="center" valignment="top" usebox="none">
7763 \begin_layout Plain Layout
7764 \begin_inset Formula $\Rightarrow$
7774 <cell alignment="center" valignment="top" usebox="none">
7777 \begin_layout Plain Layout
7785 <cell alignment="center" valignment="top" usebox="none">
7788 \begin_layout Plain Layout
7789 \begin_inset Formula $\longrightarrow$
7799 <cell alignment="center" valignment="top" usebox="none">
7802 \begin_layout Plain Layout
7810 <cell alignment="center" valignment="top" usebox="none">
7813 \begin_layout Plain Layout
7814 \begin_inset Formula $\Longrightarrow$
7824 <cell alignment="center" valignment="top" usebox="none">
7827 \begin_layout Plain Layout
7835 <cell alignment="center" valignment="top" usebox="none">
7838 \begin_layout Plain Layout
7839 \begin_inset Formula $\rightharpoonup$
7849 <cell alignment="center" valignment="top" usebox="none">
7852 \begin_layout Plain Layout
7860 <cell alignment="center" valignment="top" usebox="none">
7863 \begin_layout Plain Layout
7864 \begin_inset Formula $\rightharpoondown$
7874 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7877 \begin_layout Plain Layout
7885 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7888 \begin_layout Plain Layout
7889 \begin_inset Formula $\hookrightarrow$
7903 \begin_inset space \hfill{}
7909 \begin_layout Standard
7910 \begin_inset space \hfill{}
7914 \begin_inset Tabular
7915 <lyxtabular version="3" rows="6" columns="2">
7916 <features booktabs="true" tabularvalignment="middle">
7917 <column alignment="center" valignment="top" width="0pt">
7918 <column alignment="center" valignment="top" width="0pt">
7920 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7923 \begin_layout Plain Layout
7929 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7932 \begin_layout Plain Layout
7940 <cell alignment="center" valignment="top" usebox="none">
7943 \begin_layout Plain Layout
7951 <cell alignment="center" valignment="top" usebox="none">
7954 \begin_layout Plain Layout
7955 \begin_inset Formula $\leftrightarrow$
7965 <cell alignment="center" valignment="top" usebox="none">
7968 \begin_layout Plain Layout
7976 <cell alignment="center" valignment="top" usebox="none">
7979 \begin_layout Plain Layout
7980 \begin_inset Formula $\Leftrightarrow$
7990 <cell alignment="center" valignment="top" usebox="none">
7993 \begin_layout Plain Layout
8001 <cell alignment="center" valignment="top" usebox="none">
8004 \begin_layout Plain Layout
8005 \begin_inset Formula $\longleftrightarrow$
8015 <cell alignment="center" valignment="top" usebox="none">
8018 \begin_layout Plain Layout
8026 <cell alignment="center" valignment="top" usebox="none">
8029 \begin_layout Plain Layout
8030 \begin_inset Formula $\Longleftrightarrow$
8040 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8043 \begin_layout Plain Layout
8051 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8054 \begin_layout Plain Layout
8055 \begin_inset Formula $\rightleftharpoons$
8069 \begin_inset space \hspace{}
8074 \begin_inset space \hfill{}
8078 \begin_inset Tabular
8079 <lyxtabular version="3" rows="5" columns="2">
8080 <features booktabs="true" tabularvalignment="middle">
8081 <column alignment="center" valignment="top" width="0pt">
8082 <column alignment="center" valignment="top" width="0pt">
8084 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8087 \begin_layout Plain Layout
8093 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8096 \begin_layout Plain Layout
8104 <cell alignment="center" valignment="top" usebox="none">
8107 \begin_layout Plain Layout
8115 <cell alignment="center" valignment="top" usebox="none">
8118 \begin_layout Plain Layout
8119 \begin_inset Formula $\mapsto$
8129 <cell alignment="center" valignment="top" usebox="none">
8132 \begin_layout Plain Layout
8140 <cell alignment="center" valignment="top" usebox="none">
8143 \begin_layout Plain Layout
8144 \begin_inset Formula $\longmapsto$
8154 <cell alignment="center" valignment="top" usebox="none">
8157 \begin_layout Plain Layout
8165 <cell alignment="center" valignment="top" usebox="none">
8168 \begin_layout Plain Layout
8169 \begin_inset Formula $\leadsto$
8179 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8182 \begin_layout Plain Layout
8190 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8193 \begin_layout Plain Layout
8194 \begin_inset Formula $\dasharrow$
8208 \begin_inset space \hfill{}
8214 \begin_layout Standard
8215 \begin_inset VSpace medskip
8218 たとえばベクトル記号の矢印のようにアクセントとして使用される矢印は,第
8219 \begin_inset CommandInset ref
8221 reference "sec:アクセント"
8228 \begin_layout Standard
8229 \begin_inset VSpace bigskip
8233 \begin_inset Index idx
8236 \begin_layout Plain Layout
8237 やじるし@矢印 ! らべるつき@ラベル付き
8249 \begin_inset Index idx
8252 \begin_layout Plain Layout
8267 \begin_inset Index idx
8270 \begin_layout Plain Layout
8277 \begin_layout Plain Layout
8291 があります.これらのコマンドを数式に挿入すると,二つの青枠のついた矢印が現れるので,そこにラベルを入れることができます.矢印の長さは,ラベルの幅に応じて調整され
8295 \begin_layout Standard
8297 \begin_inset Tabular
8298 <lyxtabular version="3" rows="3" columns="2">
8299 <features booktabs="true" tabularvalignment="middle">
8300 <column alignment="center" valignment="top" width="0pt">
8301 <column alignment="center" valignment="top" width="0pt">
8303 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8306 \begin_layout Plain Layout
8312 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8315 \begin_layout Plain Layout
8323 <cell alignment="center" valignment="top" usebox="none">
8326 \begin_layout Plain Layout
8330 \begin_inset space \textvisiblespace{}
8334 \begin_inset Formula $\downarrow$
8338 \begin_inset Formula $\to$
8346 <cell alignment="center" valignment="top" usebox="none">
8349 \begin_layout Plain Layout
8350 \begin_inset Formula $F(a)\xleftarrow[x>0]{x=a}F(x)$
8359 <row topspace="2mm">
8360 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8363 \begin_layout Plain Layout
8367 \begin_inset space \textvisiblespace{}
8371 \begin_inset Formula $\downarrow$
8375 \begin_inset Formula $\to$
8383 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8386 \begin_layout Plain Layout
8387 \begin_inset Formula $F(x)\xrightarrow[x>0]{x=a}F(a)$
8403 \begin_layout Standard
8404 \begin_inset VSpace medskip
8410 \begin_layout Standard
8420 \begin_inset Index idx
8423 \begin_layout Plain Layout
8424 ぱっけーじ@パッケージ ! mathtools
8433 オプションを設定すると,以下のようなラベル付き矢印が利用可能になります.
8436 \begin_layout Standard
8437 \begin_inset Newpage newpage
8443 \begin_layout Standard
8445 \begin_inset space \hspace*{\fill}
8449 \begin_inset Tabular
8450 <lyxtabular version="3" rows="7" columns="2">
8451 <features booktabs="true" tabularvalignment="middle">
8452 <column alignment="center" valignment="top" width="0pt">
8453 <column alignment="center" valignment="top" width="0pt">
8455 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8458 \begin_layout Plain Layout
8464 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8467 \begin_layout Plain Layout
8475 <cell alignment="center" valignment="top" usebox="none">
8478 \begin_layout Plain Layout
8486 <cell alignment="center" valignment="top" usebox="none">
8489 \begin_layout Plain Layout
8490 \begin_inset Formula $\xleftrightarrow[x=a]{x>0}$
8499 <row topspace="2mm">
8500 <cell alignment="center" valignment="top" usebox="none">
8503 \begin_layout Plain Layout
8511 <cell alignment="center" valignment="top" usebox="none">
8514 \begin_layout Plain Layout
8515 \begin_inset Formula $\xLeftarrow[x=a]{x>0}$
8524 <row topspace="2mm">
8525 <cell alignment="center" valignment="top" usebox="none">
8528 \begin_layout Plain Layout
8536 <cell alignment="center" valignment="top" usebox="none">
8539 \begin_layout Plain Layout
8540 \begin_inset Formula $\xRightarrow[x=a]{x>0}$
8549 <row topspace="2mm">
8550 <cell alignment="center" valignment="top" usebox="none">
8553 \begin_layout Plain Layout
8561 <cell alignment="center" valignment="top" usebox="none">
8564 \begin_layout Plain Layout
8565 \begin_inset Formula $\xLeftrightarrow[x=a]{x>0}$
8574 <row topspace="2mm">
8575 <cell alignment="center" valignment="top" usebox="none">
8578 \begin_layout Plain Layout
8586 <cell alignment="center" valignment="top" usebox="none">
8589 \begin_layout Plain Layout
8590 \begin_inset Formula $\xhookleftarrow[x=a]{x>0}$
8599 <row topspace="2mm">
8600 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8603 \begin_layout Plain Layout
8611 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8614 \begin_layout Plain Layout
8615 \begin_inset Formula $\xhookrightarrow[x=a]{x>0}$
8629 \begin_inset space \hspace*{\fill}
8633 \begin_inset Tabular
8634 <lyxtabular version="3" rows="7" columns="2">
8635 <features booktabs="true" tabularvalignment="middle">
8636 <column alignment="center" valignment="top" width="0pt">
8637 <column alignment="center" valignment="top" width="0pt">
8639 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8642 \begin_layout Plain Layout
8648 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8651 \begin_layout Plain Layout
8659 <cell alignment="center" valignment="top" usebox="none">
8662 \begin_layout Plain Layout
8670 <cell alignment="center" valignment="top" usebox="none">
8673 \begin_layout Plain Layout
8674 \begin_inset Formula $\xleftharpoondown[x=a]{x>0}$
8683 <row topspace="2mm">
8684 <cell alignment="center" valignment="top" usebox="none">
8687 \begin_layout Plain Layout
8695 <cell alignment="center" valignment="top" usebox="none">
8698 \begin_layout Plain Layout
8699 \begin_inset Formula $\xleftharpoonup[x=a]{x>0}$
8708 <row topspace="2mm">
8709 <cell alignment="center" valignment="top" usebox="none">
8712 \begin_layout Plain Layout
8720 <cell alignment="center" valignment="top" usebox="none">
8723 \begin_layout Plain Layout
8724 \begin_inset Formula $\xrightharpoondown[x=a]{x>0}$
8733 <row topspace="2mm">
8734 <cell alignment="center" valignment="top" usebox="none">
8737 \begin_layout Plain Layout
8745 <cell alignment="center" valignment="top" usebox="none">
8748 \begin_layout Plain Layout
8749 \begin_inset Formula $\xrightharpoonup[x=a]{x>0}$
8758 <row topspace="2mm">
8759 <cell alignment="center" valignment="top" usebox="none">
8762 \begin_layout Plain Layout
8770 <cell alignment="center" valignment="top" usebox="none">
8773 \begin_layout Plain Layout
8774 \begin_inset Formula $\xleftrightharpoons[x=a]{x>0}$
8783 <row topspace="2mm">
8784 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8787 \begin_layout Plain Layout
8795 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8798 \begin_layout Plain Layout
8799 \begin_inset Formula $\xrightleftharpoons[x=a]{x>0}$
8813 \begin_inset space \hspace*{\fill}
8819 \begin_layout Standard
8820 これらの矢印は,すべて以下のようなコマンドスキームを取ります.
8823 \begin_layout Standard
8825 \begin_inset Tabular
8826 <lyxtabular version="3" rows="2" columns="2">
8827 <features booktabs="true" tabularvalignment="middle">
8828 <column alignment="center" valignment="top" width="0pt">
8829 <column alignment="center" valignment="top" width="0pt">
8831 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8834 \begin_layout Plain Layout
8840 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8843 \begin_layout Plain Layout
8850 <row bottomspace="0.5mm">
8851 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8854 \begin_layout Plain Layout
8857 xleftrightarrow[x=a]
8860 \begin_inset Formula $\to$
8868 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8871 \begin_layout Plain Layout
8872 \begin_inset Formula $F(a)\xleftrightarrow[x=a]{x>0}F(x)$
8888 \begin_layout Subsection
8890 \begin_inset Index idx
8893 \begin_layout Plain Layout
8900 \begin_inset Index idx
8903 \begin_layout Plain Layout
8912 \begin_layout Standard
8913 \begin_inset space \hfill{}
8917 \begin_inset Tabular
8918 <lyxtabular version="3" rows="7" columns="2">
8919 <features booktabs="true" tabularvalignment="middle">
8920 <column alignment="center" valignment="top" width="0pt">
8921 <column alignment="center" valignment="top" width="0pt">
8923 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8926 \begin_layout Plain Layout
8932 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8935 \begin_layout Plain Layout
8943 <cell alignment="center" valignment="top" usebox="none">
8946 \begin_layout Plain Layout
8954 <cell alignment="center" valignment="top" usebox="none">
8957 \begin_layout Plain Layout
8958 \begin_inset Formula $\uparrow$
8968 <cell alignment="center" valignment="top" usebox="none">
8971 \begin_layout Plain Layout
8979 <cell alignment="center" valignment="top" usebox="none">
8982 \begin_layout Plain Layout
8983 \begin_inset Formula $\Uparrow$
8993 <cell alignment="center" valignment="top" usebox="none">
8996 \begin_layout Plain Layout
9004 <cell alignment="center" valignment="top" usebox="none">
9007 \begin_layout Plain Layout
9008 \begin_inset Formula $\updownarrow$
9018 <cell alignment="center" valignment="top" usebox="none">
9021 \begin_layout Plain Layout
9029 <cell alignment="center" valignment="top" usebox="none">
9032 \begin_layout Plain Layout
9033 \begin_inset Formula $\Updownarrow$
9043 <cell alignment="center" valignment="top" usebox="none">
9046 \begin_layout Plain Layout
9054 <cell alignment="center" valignment="top" usebox="none">
9057 \begin_layout Plain Layout
9058 \begin_inset Formula $\Downarrow$
9068 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9071 \begin_layout Plain Layout
9079 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9082 \begin_layout Plain Layout
9083 \begin_inset Formula $\downarrow$
9097 \begin_inset space \hfill{}
9101 \begin_inset Tabular
9102 <lyxtabular version="3" rows="5" columns="2">
9103 <features booktabs="true" tabularvalignment="middle">
9104 <column alignment="center" valignment="top" width="0pt">
9105 <column alignment="center" valignment="top" width="0pt">
9107 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9110 \begin_layout Plain Layout
9116 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9119 \begin_layout Plain Layout
9127 <cell alignment="center" valignment="top" usebox="none">
9130 \begin_layout Plain Layout
9138 <cell alignment="center" valignment="top" usebox="none">
9141 \begin_layout Plain Layout
9142 \begin_inset Formula $\nearrow$
9152 <cell alignment="center" valignment="top" usebox="none">
9155 \begin_layout Plain Layout
9163 <cell alignment="center" valignment="top" usebox="none">
9166 \begin_layout Plain Layout
9167 \begin_inset Formula $\searrow$
9177 <cell alignment="center" valignment="top" usebox="none">
9180 \begin_layout Plain Layout
9188 <cell alignment="center" valignment="top" usebox="none">
9191 \begin_layout Plain Layout
9192 \begin_inset Formula $\swarrow$
9202 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9205 \begin_layout Plain Layout
9213 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9216 \begin_layout Plain Layout
9217 \begin_inset Formula $\nwarrow$
9231 \begin_inset space \hfill{}
9237 \begin_layout Standard
9238 \begin_inset VSpace medskip
9242 \begin_inset CommandInset ref
9244 reference "subsec:手動の括弧丈"
9249 \begin_inset CommandInset ref
9251 reference "subsec:自動の括弧丈"
9255 節に述べられているコマンドを使うと,区分記号として使用することもできます.
9258 \begin_layout Section
9260 \begin_inset CommandInset label
9267 \begin_inset Index idx
9270 \begin_layout Plain Layout
9279 \begin_layout Standard
9283 arg "math-insert \\hat"
9286 か,以下の各小節に列挙してあるコマンドで入力することができます.
9289 \begin_layout Subsection
9294 \begin_layout Plain Layout
9307 \begin_layout Plain Layout
9309 \begin_inset CommandInset ref
9311 reference "subsec:文章中のアクセント"
9324 \begin_layout Plain Layout
9332 \begin_inset Note Note
9335 \begin_layout Plain Layout
9342 は,PDFのしおりに脚註が現れるのを防ぐために使われています.
9345 \begin_layout Plain Layout
9353 \begin_inset CommandInset ref
9355 reference "subsec:節見出し中の数式"
9365 \begin_inset CommandInset label
9367 name "subsec:一文字に付けるアクセント"
9372 \begin_inset Index idx
9375 \begin_layout Plain Layout
9376 あくせんと@アクセント ! いちもじにつける@一文字に付ける
9384 \begin_layout Standard
9385 \begin_inset space \hfill{}
9389 \begin_inset Tabular
9390 <lyxtabular version="3" rows="8" columns="2">
9391 <features booktabs="true" tabularvalignment="middle">
9392 <column alignment="center" valignment="top" width="0pt">
9393 <column alignment="center" valignment="top" width="0pt">
9395 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9398 \begin_layout Plain Layout
9404 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9407 \begin_layout Plain Layout
9414 <row topspace="1.5mm">
9415 <cell alignment="center" valignment="top" usebox="none">
9418 \begin_layout Plain Layout
9422 \begin_inset space \textvisiblespace{}
9430 <cell alignment="center" valignment="top" usebox="none">
9433 \begin_layout Plain Layout
9434 \begin_inset Formula $\dot{A}$
9443 <row topspace="1.5mm">
9444 <cell alignment="center" valignment="top" usebox="none">
9447 \begin_layout Plain Layout
9451 \begin_inset space \textvisiblespace{}
9459 <cell alignment="center" valignment="top" usebox="none">
9462 \begin_layout Plain Layout
9463 \begin_inset Formula $\ddot{A}$
9472 <row topspace="1.5mm">
9473 <cell alignment="center" valignment="top" usebox="none">
9476 \begin_layout Plain Layout
9480 \begin_inset space \textvisiblespace{}
9488 <cell alignment="center" valignment="top" usebox="none">
9491 \begin_layout Plain Layout
9492 \begin_inset Formula $\dddot{A}$
9501 <row topspace="1.5mm">
9502 <cell alignment="center" valignment="top" usebox="none">
9505 \begin_layout Plain Layout
9509 \begin_inset space \textvisiblespace{}
9517 <cell alignment="center" valignment="top" usebox="none">
9520 \begin_layout Plain Layout
9521 \begin_inset Formula $\ddddot{A}$
9530 <row topspace="1.5mm">
9531 <cell alignment="center" valignment="top" usebox="none">
9534 \begin_layout Plain Layout
9538 \begin_inset space \textvisiblespace{}
9542 \begin_inset Index idx
9545 \begin_layout Plain Layout
9556 <cell alignment="center" valignment="top" usebox="none">
9559 \begin_layout Plain Layout
9560 \begin_inset Formula $\vec{A}$
9569 <row topspace="1.5mm">
9570 <cell alignment="center" valignment="top" usebox="none">
9573 \begin_layout Plain Layout
9577 \begin_inset space \textvisiblespace{}
9585 <cell alignment="center" valignment="top" usebox="none">
9588 \begin_layout Plain Layout
9589 \begin_inset Formula $\bar{A}$
9598 <row topspace="1.5mm">
9599 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9602 \begin_layout Plain Layout
9606 \begin_inset space \textvisiblespace{}
9614 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9617 \begin_layout Plain Layout
9618 \begin_inset Formula $\mathring{A}$
9632 \begin_inset space \hfill{}
9636 \begin_inset Tabular
9637 <lyxtabular version="3" rows="7" columns="2">
9638 <features booktabs="true" tabularvalignment="middle">
9639 <column alignment="center" valignment="top" width="0pt">
9640 <column alignment="center" valignment="top" width="0pt">
9642 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9645 \begin_layout Plain Layout
9651 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9654 \begin_layout Plain Layout
9661 <row topspace="1.5mm">
9662 <cell alignment="center" valignment="top" usebox="none">
9665 \begin_layout Plain Layout
9669 \begin_inset space \textvisiblespace{}
9677 <cell alignment="center" valignment="top" usebox="none">
9680 \begin_layout Plain Layout
9681 \begin_inset Formula $\tilde{A}$
9690 <row topspace="1.5mm">
9691 <cell alignment="center" valignment="top" usebox="none">
9694 \begin_layout Plain Layout
9698 \begin_inset space \textvisiblespace{}
9706 <cell alignment="center" valignment="top" usebox="none">
9709 \begin_layout Plain Layout
9710 \begin_inset Formula $\hat{A}$
9719 <row topspace="1.5mm">
9720 <cell alignment="center" valignment="top" usebox="none">
9723 \begin_layout Plain Layout
9727 \begin_inset space \textvisiblespace{}
9735 <cell alignment="center" valignment="top" usebox="none">
9738 \begin_layout Plain Layout
9739 \begin_inset Formula $\check{A}$
9748 <row topspace="1.5mm">
9749 <cell alignment="center" valignment="top" usebox="none">
9752 \begin_layout Plain Layout
9756 \begin_inset space \textvisiblespace{}
9764 <cell alignment="center" valignment="top" usebox="none">
9767 \begin_layout Plain Layout
9768 \begin_inset Formula $\acute{A}$
9777 <row topspace="1.5mm">
9778 <cell alignment="center" valignment="top" usebox="none">
9781 \begin_layout Plain Layout
9785 \begin_inset space \textvisiblespace{}
9793 <cell alignment="center" valignment="top" usebox="none">
9796 \begin_layout Plain Layout
9797 \begin_inset Formula $\grave{A}$
9806 <row topspace="1.5mm">
9807 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9810 \begin_layout Plain Layout
9814 \begin_inset space \textvisiblespace{}
9822 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9825 \begin_layout Plain Layout
9826 \begin_inset Formula $\breve{A}$
9840 \begin_inset space \hfill{}
9846 \begin_layout Standard
9847 \begin_inset VSpace bigskip
9853 \begin_layout Standard
9857 \begin_layout Plain Layout
9866 のようなアクセントは,数式に直接入れることができます.\SpecialChar LyX
9867 は,それを対応するアクセントコマンドに変換します.ウムラウト
9868 \begin_inset Index idx
9871 \begin_layout Plain Layout
9877 に関しては,母音の前に引用符を挿入する方法の方がよいでしょう.ウムラウトのある数式部分がドイツ語に指定してあれば,\SpecialChar LaTeX
9878 は,引用符と母音をまとめて一つの文字として取り
9885 と違い,この方法では,以下の例に示すように「本物の」ウムラウトが作られます.
9888 \begin_layout Standard
9889 \begin_inset VSpace -2mm
9895 \begin_layout Standard
9897 \begin_inset Tabular
9898 <lyxtabular version="3" rows="3" columns="2">
9899 <features booktabs="true" tabularvalignment="middle">
9900 <column alignment="center" valignment="top" width="0pt">
9901 <column alignment="center" valignment="top">
9903 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9906 \begin_layout Plain Layout
9912 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9915 \begin_layout Plain Layout
9923 <cell alignment="center" valignment="top" usebox="none">
9926 \begin_layout Plain Layout
9927 \begin_inset Quotes grd
9935 <cell alignment="center" valignment="top" usebox="none">
9938 \begin_layout Plain Layout
9941 \begin_inset space \hspace{}
9946 \begin_inset Formula $"i$
9955 <row topspace="1.5mm">
9956 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9959 \begin_layout Plain Layout
9963 \begin_inset space \textvisiblespace{}
9971 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9974 \begin_layout Plain Layout
9975 \begin_inset Formula $\ddot{i}$
9991 \begin_layout Standard
9998 に比べて良いもう一つの利点は,上記のアクセントコマンドが
10002 のに対し,ウムラウトは直接数式中テキストに変換されることです.(アクセントコマンドによる)アクセント付き文字を数式中テキストに変換すると,アクセントの下にある文
10003 字しか変換されません.これは,たとえばイタリック体やボールド体への変換など,他のすべての変換に関しても言えることです.
10006 \begin_layout Standard
10007 ウムラウトと他のアクセント付き文字は,数式中テキストに直接入れることができます.
10010 \begin_layout Standard
10011 \begin_inset VSpace bigskip
10017 \begin_layout Standard
10019 は,\SpecialChar LaTeX
10025 \begin_inset Index idx
10028 \begin_layout Plain Layout
10029 ぱっけーじ@パッケージ ! upgreek
10034 がシステム上に導入されていれば,文字下のティルダもサポートします.
10037 \begin_layout Standard
10041 \begin_layout Plain Layout
10051 \begin_inset Note Note
10054 \begin_layout Plain Layout
10060 パッケージが導入済みのときのみ表示されます.
10068 \begin_layout Standard
10071 \begin_inset Tabular
10072 <lyxtabular version="3" rows="2" columns="2">
10073 <features booktabs="true" tabularvalignment="middle">
10074 <column alignment="center" valignment="top" width="0pt">
10075 <column alignment="center" valignment="top" width="0pt">
10077 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10080 \begin_layout Plain Layout
10086 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
10089 \begin_layout Plain Layout
10097 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
10100 \begin_layout Plain Layout
10104 \begin_inset space \textvisiblespace{}
10112 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
10115 \begin_layout Plain Layout
10116 \begin_inset Formula $\utilde{A}$
10132 \begin_layout Standard
10136 \begin_layout Plain Layout
10146 \begin_inset Note Note
10149 \begin_layout Plain Layout
10155 パッケージが導入されていないときのみ表示されます.
10163 \begin_layout Standard
10172 \begin_layout Standard
10176 \begin_layout Plain Layout
10188 \begin_layout Standard
10189 \begin_inset Newpage newpage
10195 \begin_layout Subsection
10197 \begin_inset Index idx
10200 \begin_layout Plain Layout
10201 あくせんと@アクセント ! ふくすうのもじにつける@複数の文字に付ける
10209 \begin_layout Standard
10210 \begin_inset space \hfill{}
10214 \begin_inset Tabular
10215 <lyxtabular version="3" rows="5" columns="2">
10216 <features booktabs="true" tabularvalignment="middle">
10217 <column alignment="center" valignment="top" width="0pt">
10218 <column alignment="center" valignment="top" width="0pt">
10220 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10223 \begin_layout Plain Layout
10229 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
10232 \begin_layout Plain Layout
10239 <row topspace="1.5mm">
10240 <cell alignment="center" valignment="top" usebox="none">
10243 \begin_layout Plain Layout
10247 \begin_inset space \textvisiblespace{}
10255 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10258 \begin_layout Plain Layout
10259 \begin_inset Formula $\overleftarrow{A=B}$
10268 <row topspace="1.5mm">
10269 <cell alignment="center" valignment="top" usebox="none">
10272 \begin_layout Plain Layout
10276 \begin_inset space \textvisiblespace{}
10284 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10287 \begin_layout Plain Layout
10288 \begin_inset Formula $\underleftarrow{A=B}$
10297 <row topspace="1.5mm">
10298 <cell alignment="center" valignment="top" usebox="none">
10301 \begin_layout Plain Layout
10305 \begin_inset space \textvisiblespace{}
10313 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10316 \begin_layout Plain Layout
10317 \begin_inset Formula $\overleftrightarrow{A=B}$
10326 <row topspace="1.5mm" bottomspace="1mm">
10327 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
10330 \begin_layout Plain Layout
10333 underleftrightarrow
10334 \begin_inset space \textvisiblespace{}
10342 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
10345 \begin_layout Plain Layout
10346 \begin_inset Formula $\underleftrightarrow{A=B}$
10360 \begin_inset space \hfill{}
10364 \begin_inset Tabular
10365 <lyxtabular version="3" rows="5" columns="2">
10366 <features booktabs="true" tabularvalignment="middle">
10367 <column alignment="center" valignment="top" width="0pt">
10368 <column alignment="center" valignment="top" width="0pt">
10370 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10373 \begin_layout Plain Layout
10379 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
10382 \begin_layout Plain Layout
10389 <row topspace="1.5mm">
10390 <cell alignment="center" valignment="top" usebox="none">
10393 \begin_layout Plain Layout
10397 \begin_inset space \textvisiblespace{}
10405 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10408 \begin_layout Plain Layout
10409 \begin_inset Formula $\overrightarrow{A=B}$
10418 <row topspace="1.5mm">
10419 <cell alignment="center" valignment="top" usebox="none">
10422 \begin_layout Plain Layout
10426 \begin_inset space \textvisiblespace{}
10434 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10437 \begin_layout Plain Layout
10438 \begin_inset Formula $\underrightarrow{A=B}$
10447 <row topspace="1.5mm">
10448 <cell alignment="center" valignment="top" usebox="none">
10451 \begin_layout Plain Layout
10455 \begin_inset space \textvisiblespace{}
10463 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10466 \begin_layout Plain Layout
10467 \begin_inset Formula $\widetilde{A=B}$
10476 <row topspace="1.5mm" bottomspace="1mm">
10477 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
10480 \begin_layout Plain Layout
10484 \begin_inset space \textvisiblespace{}
10492 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
10495 \begin_layout Plain Layout
10496 \begin_inset Formula $\widehat{A=B}$
10510 \begin_inset space \hfill{}
10516 \begin_layout Standard
10517 \begin_inset VSpace medskip
10520 これらのコマンドでは,好きなだけ多くの文字にアクセントを付けることができます.しかし,
10532 のアクセントは,以下の例のように,出力では3文字分の長さにしかなりません.
10533 \begin_inset Formula
10535 \widetilde{A+B=C-D}
10543 \begin_layout Standard
10551 \begin_inset Index idx
10554 \begin_layout Plain Layout
10569 \begin_inset Index idx
10572 \begin_layout Plain Layout
10580 コマンドを使っても,複数の文字にアクセントを付けることができます.
10585 \begin_inset space \textvisiblespace{}
10589 \begin_inset Formula $\downarrow$
10595 \begin_inset Formula
10597 \underset{***}{A=B}
10605 \begin_layout Section
10607 \begin_inset CommandInset label
10614 \begin_inset Index idx
10617 \begin_layout Plain Layout
10619 \begin_inset space \thinspace{}
10630 \begin_layout Subsection
10632 \begin_inset CommandInset label
10634 name "subsec:定義済みの空白"
10639 \begin_inset Index idx
10642 \begin_layout Plain Layout
10644 \begin_inset space \thinspace{}
10655 \begin_layout Standard
10656 数式に水平方向の空白を挿入することが,必要になることがあります.これは,保護された空白(
10657 \begin_inset Flex Ruby
10660 \begin_layout Plain Layout
10662 \begin_inset Argument post:1
10665 \begin_layout Plain Layout
10679 arg "command-alternatives space-insert protected ; math-space"
10685 \begin_inset space \textvisiblespace{}
10694 を何回か押すことによって,8種の異なる長さの空白のうち一つを選択することができます.空白は,数式ツールバーボタンの
10697 arg "math-insert \\space"
10700 を押すか,特定のコマンドを入力することで,挿入することができます.挿入したコマンド如何に関わらず,直後に
10704 を押すことによって,長さを変更することができます.
10707 \begin_layout Standard
10710 \begin_inset Tabular
10711 <lyxtabular version="3" rows="6" columns="3">
10712 <features booktabs="true" tabularvalignment="middle">
10713 <column alignment="center" valignment="top">
10714 <column alignment="center" valignment="top" width="15col%">
10715 <column alignment="center" valignment="top">
10717 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10720 \begin_layout Plain Layout
10726 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10729 \begin_layout Plain Layout
10739 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
10742 \begin_layout Plain Layout
10750 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10753 \begin_layout Plain Layout
10761 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10764 \begin_layout Plain Layout
10770 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10773 \begin_layout Plain Layout
10774 \begin_inset Formula $A\,B$
10784 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10787 \begin_layout Plain Layout
10795 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10798 \begin_layout Plain Layout
10804 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10807 \begin_layout Plain Layout
10808 \begin_inset Formula $A\:B$
10818 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10821 \begin_layout Plain Layout
10829 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10832 \begin_layout Plain Layout
10838 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10841 \begin_layout Plain Layout
10842 \begin_inset Formula $A\;B$
10852 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10855 \begin_layout Plain Layout
10863 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10866 \begin_layout Plain Layout
10872 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10875 \begin_layout Plain Layout
10876 \begin_inset Formula $A\quad B$
10886 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
10889 \begin_layout Plain Layout
10897 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
10900 \begin_layout Plain Layout
10906 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
10909 \begin_layout Plain Layout
10910 \begin_inset Formula $A\qquad B$
10924 \begin_inset space \hfill{}
10928 \begin_inset Tabular
10929 <lyxtabular version="3" rows="6" columns="3">
10930 <features booktabs="true" tabularvalignment="middle">
10931 <column alignment="center" valignment="top">
10932 <column alignment="center" valignment="top" width="15col%">
10933 <column alignment="center" valignment="top">
10935 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10938 \begin_layout Plain Layout
10944 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10947 \begin_layout Plain Layout
10957 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
10960 \begin_layout Plain Layout
10968 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10971 \begin_layout Plain Layout
10979 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10982 \begin_layout Plain Layout
10988 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10991 \begin_layout Plain Layout
10992 \begin_inset Formula $A\hfill B$
11002 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11005 \begin_layout Plain Layout
11013 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11016 \begin_layout Plain Layout
11022 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11025 \begin_layout Plain Layout
11026 \begin_inset Formula $A\hspace*{1em}B$
11036 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11039 \begin_layout Plain Layout
11047 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11050 \begin_layout Plain Layout
11056 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11059 \begin_layout Plain Layout
11060 \begin_inset Formula $A\hspace{1em}B$
11070 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11073 \begin_layout Plain Layout
11077 \begin_inset space \textvisiblespace{}
11085 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11088 \begin_layout Plain Layout
11094 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11097 \begin_layout Plain Layout
11098 \begin_inset Formula $A\ B$
11108 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11111 \begin_layout Plain Layout
11119 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11122 \begin_layout Plain Layout
11128 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
11131 \begin_layout Plain Layout
11132 \begin_inset Formula $A\!B$
11148 \begin_layout Standard
11152 \begin_inset space \thinspace{}
11160 \begin_inset space \thinspace{}
11170 \begin_inset CommandInset ref
11172 reference "subsec:可変長の空白"
11176 節に説明されているように,可変空白となります.9回押した場合は,一見,空白を生まないように見えます.実はこれは負の長さなので,他の長さと異なり,\SpecialChar LyX
11178 れます.以下のように,他にもう二つ,負の長さの空白があります.
11181 \begin_layout Standard
11183 \begin_inset Tabular
11184 <lyxtabular version="3" rows="3" columns="3">
11185 <features booktabs="true" tabularvalignment="middle">
11186 <column alignment="center" valignment="middle" width="6.8cm">
11187 <column alignment="center" valignment="top" width="0pt">
11188 <column alignment="center" valignment="top" width="0pt">
11190 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11193 \begin_layout Plain Layout
11199 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11202 \begin_layout Plain Layout
11210 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
11213 \begin_layout Plain Layout
11223 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11226 \begin_layout Plain Layout
11236 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11239 \begin_layout Plain Layout
11245 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
11248 \begin_layout Plain Layout
11256 <cell multicolumn="1" alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11259 \begin_layout Plain Layout
11265 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11268 \begin_layout Plain Layout
11269 \begin_inset Formula $A\negmedspace B$
11277 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
11280 \begin_layout Plain Layout
11281 \begin_inset Formula $A\negthickspace B$
11297 \begin_layout Standard
11298 負の空白を使うと,文字が重なってしまうことがあります.これを利用して,合字処理を強制することができます.これは,たとえば以下のように,和演算子に使えます.
11301 \begin_layout Standard
11303 \begin_inset Tabular
11304 <lyxtabular version="3" rows="3" columns="2">
11305 <features booktabs="true" tabularvalignment="middle">
11306 <column alignment="center" valignment="top" width="0pt">
11307 <column alignment="center" valignment="top">
11309 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11312 \begin_layout Plain Layout
11318 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
11321 \begin_layout Plain Layout
11329 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11332 \begin_layout Plain Layout
11338 \begin_inset space \textvisiblespace{}
11346 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11349 \begin_layout Plain Layout
11350 \begin_inset Formula $\sum\sum f_{kl}$
11360 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11363 \begin_layout Plain Layout
11371 \begin_inset space \textvisiblespace{}
11379 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
11382 \begin_layout Plain Layout
11383 \begin_inset Formula $\sum\negmedspace\sum f_{kl}$
11399 \begin_layout Standard
11401 \begin_inset VSpace medskip
11407 \begin_layout Standard
11409 イコール記号などの関係子は,つねに空白を前後に伴うようになっていますが,これを抑制するには,イコール記号を\SpecialChar TeX
11410 括弧で囲みます.以下の例にこれを示します.
11413 \begin_layout Standard
11415 \begin_inset Tabular
11416 <lyxtabular version="3" rows="2" columns="2">
11417 <features booktabs="true" tabularvalignment="middle">
11418 <column alignment="center" valignment="top" width="0pt">
11419 <column alignment="center" valignment="top" width="0pt">
11421 <cell alignment="center" valignment="top" usebox="none">
11424 \begin_layout Plain Layout
11430 <cell alignment="center" valignment="top" usebox="none">
11433 \begin_layout Plain Layout
11434 \begin_inset Formula $A=B$
11444 <cell alignment="center" valignment="top" usebox="none">
11447 \begin_layout Plain Layout
11453 <cell multicolumn="1" alignment="center" valignment="top" usebox="none">
11456 \begin_layout Plain Layout
11457 \begin_inset Formula $A{=}B$
11473 \begin_layout Standard
11480 \begin_inset Formula $\to$
11488 \begin_layout Standard
11489 \begin_inset VSpace bigskip
11492 物理単位には,値と単位のあいだに通常の空白ではなく,最小の空白を入れる必要があるために,それに適した空白が必要です.本文中の単位には,挿入\SpecialChar menuseparator
11493 整形\SpecialChar menuseparator
11495 \begin_inset Flex Ruby
11498 \begin_layout Plain Layout
11500 \begin_inset Argument post:1
11503 \begin_layout Plain Layout
11517 arg "space-insert thin"
11520 )で,最小の空白を挿入することができます.
11523 \begin_layout Standard
11527 \begin_layout Standard
11528 \begin_inset Tabular
11529 <lyxtabular version="3" rows="2" columns="2">
11530 <features tabularvalignment="middle">
11531 <column alignment="left" valignment="top">
11532 <column alignment="left" valignment="top">
11534 <cell alignment="center" valignment="top" usebox="none">
11537 \begin_layout Plain Layout
11539 \begin_inset Formula $\cdot$
11547 <cell alignment="center" valignment="top" usebox="none">
11550 \begin_layout Plain Layout
11551 値と単位のあいだに通常の空白を入れた例
11558 <cell alignment="center" valignment="top" usebox="none">
11561 \begin_layout Plain Layout
11563 \begin_inset space \thinspace{}
11567 \begin_inset Formula $\cdot$
11575 <cell alignment="center" valignment="top" usebox="none">
11578 \begin_layout Plain Layout
11579 値と単位のあいだに最小の空白を入れた例
11592 \begin_layout Subsection
11597 \begin_layout Plain Layout
11610 \begin_layout Plain Layout
11612 \begin_inset CommandInset ref
11614 reference "subsec:行間"
11627 \begin_layout Plain Layout
11635 \begin_inset Note Note
11638 \begin_layout Plain Layout
11641 texorpdfstringは,PDFのしおりに脚註が現れるのを防ぐために使われています.
11644 \begin_layout Plain Layout
11647 texorpdfstringについての詳細は,第
11648 \begin_inset CommandInset ref
11650 reference "subsec:節見出し中の数式"
11660 \begin_inset CommandInset label
11662 name "subsec:可変長の空白"
11667 \begin_inset Index idx
11670 \begin_layout Plain Layout
11672 \begin_inset space \thinspace{}
11683 \begin_layout Standard
11691 \begin_inset Index idx
11694 \begin_layout Plain Layout
11702 コマンドで入力することができます.すると,ながい「
11705 \begin_inset space \textvisiblespace{}
11713 \begin_inset space \textvisiblespace{}
11718 」を左クリックすることによって指定することができます.長さは負の値でも構いません.空白が行冒頭の文字である場合,それは無視されます.この場合でも,空白出力を強制
11735 \begin_inset space \textvisiblespace{}
11746 \begin_inset Newline newline
11749 数式が使用できる空白をすべて使い尽くすだけの空白を挿入するには,
11756 \begin_inset Index idx
11759 \begin_layout Plain Layout
11770 \begin_layout Standard
11772 \begin_inset Tabular
11773 <lyxtabular version="3" rows="4" columns="2">
11774 <features booktabs="true" tabularvalignment="middle">
11775 <column alignment="center" valignment="top" width="0pt">
11776 <column alignment="center" valignment="top">
11778 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11781 \begin_layout Plain Layout
11789 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
11792 \begin_layout Plain Layout
11800 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11803 \begin_layout Plain Layout
11807 \begin_inset space \textvisiblespace{}
11813 \begin_inset space \thinspace{}
11821 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11824 \begin_layout Plain Layout
11825 \begin_inset Formula $A=B\hspace{3cm}A\not=C$
11835 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11838 \begin_layout Plain Layout
11842 \begin_inset space \textvisiblespace{}
11848 \begin_inset space \thinspace{}
11856 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11859 \begin_layout Plain Layout
11860 \begin_inset Formula $A\hspace{-1mm}A\not=A$
11870 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11873 \begin_layout Plain Layout
11877 \begin_inset space \textvisiblespace{}
11885 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
11888 \begin_layout Plain Layout
11889 \begin_inset Formula $A=A\hfill B=B$
11905 \begin_layout Standard
11906 上記の最後の例では,使用できる空白は,表の列中もっとも長い要素によって規定されます.行内数式では,空白は,
11912 が挿入された行の長さに依存します.つまり,その行が全幅を使用している場合,空白はまったく作られません.また
11922 数式スタイルが使われているときのみ,意味を持ちます(数式スタイルは第
11923 \begin_inset CommandInset ref
11925 reference "sec:数式様式"
11932 \begin_layout Standard
11951 といったコマンドがあります.用例については第
11952 \begin_inset CommandInset ref
11954 reference "subsec:省略符号"
11961 \begin_layout Standard
11964 挿入\SpecialChar menuseparator
11965 整形\SpecialChar menuseparator
11971 \begin_layout Standard
11975 \begin_layout Standard
11977 \begin_inset space \hspace{}
11982 \begin_inset space \thinspace{}
11988 \begin_layout Standard
11990 \begin_inset space \hfill{}
11996 \begin_layout Subsection
11998 \begin_inset Index idx
12001 \begin_layout Plain Layout
12002 くうはく@空白 ! ぎょうないすうしきまわり@行内数式周り
12010 \begin_layout Standard
12016 \begin_inset Index idx
12019 \begin_layout Plain Layout
12029 を使って調節することができます.長さの値は,以下の書式を持つ
12034 \begin_inset Index idx
12037 \begin_layout Plain Layout
12047 コマンドを使って設定することができます.
12050 \begin_layout Standard
12058 \begin_layout Standard
12066 \begin_inset space \thinspace{}
12069 mmの値に設定するには,以下のコマンド
12072 \begin_layout Standard
12082 \begin_layout Standard
12085 \begin_inset space \thinspace{}
12088 mmの空白がすべての行内数式の前後に設定されることになります.
12092 \begin_layout Plain Layout
12106 \begin_layout Standard
12108 \begin_inset space \thinspace{}
12112 \begin_inset Formula $A=B$
12119 \begin_layout Plain Layout
12133 \begin_layout Standard
12141 \begin_inset space \thinspace{}
12147 \begin_layout Section
12149 \begin_inset Index idx
12152 \begin_layout Plain Layout
12159 \begin_inset Index idx
12162 \begin_layout Plain Layout
12167 \begin_layout Plain Layout
12178 \begin_layout Plain Layout
12193 \begin_layout Standard
12194 本文中のボックスについては,取扱説明書
12205 \begin_layout Subsection
12207 \begin_inset CommandInset label
12209 name "subsec:枠付きボックス"
12214 \begin_inset Index idx
12217 \begin_layout Plain Layout
12218 ぼっくす@ボックス ! わくつき@枠付き
12219 \begin_inset space \thinspace{}
12230 \begin_layout Standard
12238 \begin_inset Index idx
12241 \begin_layout Plain Layout
12256 \begin_inset Index idx
12259 \begin_layout Plain Layout
12267 コマンドを使えば,数式やその一部を枠の中に入れることができます.
12270 \begin_layout Standard
12271 どちらかのコマンドを数式に挿入すると,枠の中に青枠が現れ,数式の断片を入れることができます.
12277 の場合には,そのままではボックスの中身が数式テキストとして取り扱われてしまうので,
12281 を使って,このボックスの中にもう一度数式を作らなくてはなりません.
12287 を使った場合には,新しい数式が自動的に枠内に作られます.
12290 \begin_layout Standard
12297 コマンドは,数式がつねに本文の大きさに設定されてしまうので,別行立て数式に枠を付けるのには適していません.逆に
12303 は,数式がつねに別行立て数式の大きさに設定されてしまうので,行内数式に枠をつけるのには適していません.
12306 \begin_layout Standard
12313 の拡張として,枠幅と配置も指定することができる
12320 \begin_inset Index idx
12323 \begin_layout Plain Layout
12340 \begin_layout Standard
12345 framebox[枠幅][位置]{ボックスの内容}
12348 \begin_layout Standard
12365 は右寄せにします.位置を指定しない時には,数式は中央揃えになります.
12366 \begin_inset Newline newline
12369 「枠幅」を指定しない時には,位置を指定することができません.この場合には,
12375 と同様,枠幅がボックスの内容に応じて調節されるのです.
12378 \begin_layout Standard
12385 コマンドを挿入すると,三つの青枠を含むボックスが現れます.最初の二つの枠は括弧で囲まれており,二つとも非必須の変数であることを意味します.三つ目の枠は,
12391 同様,数式の断片を入れるためのものです.
12394 \begin_layout Standard
12396 \begin_inset Tabular
12397 <lyxtabular version="3" rows="5" columns="2">
12398 <features booktabs="true" tabularvalignment="middle">
12399 <column alignment="center" valignment="top" width="0pt">
12400 <column alignment="center" valignment="top">
12402 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
12405 \begin_layout Plain Layout
12411 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
12414 \begin_layout Plain Layout
12421 <row topspace="1.5mm">
12422 <cell alignment="center" valignment="top" usebox="none">
12425 \begin_layout Plain Layout
12429 \begin_inset space \textvisiblespace{}
12439 \begin_inset space \textvisiblespace{}
12447 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12450 \begin_layout Plain Layout
12451 \begin_inset Formula $\fbox{\ensuremath{\int A=B}}$
12460 <row topspace="1.5mm">
12461 <cell alignment="center" valignment="top" usebox="none">
12464 \begin_layout Plain Layout
12468 \begin_inset space \textvisiblespace{}
12474 \begin_inset space \textvisiblespace{}
12482 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12485 \begin_layout Plain Layout
12486 \begin_inset Formula $\boxed{\int A=B}$
12495 <row topspace="1.5mm">
12496 <cell alignment="center" valignment="top" usebox="none">
12499 \begin_layout Plain Layout
12503 \begin_inset space \textvisiblespace{}
12511 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12514 \begin_layout Plain Layout
12515 \begin_inset Formula $A+\fbox{B}$
12524 <row topspace="1.5mm" bottomspace="1mm">
12525 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
12528 \begin_layout Plain Layout
12532 \begin_inset space \textvisiblespace{}
12536 \begin_inset Formula $\to$
12540 \begin_inset Formula $\to$
12550 \begin_inset space \textvisiblespace{}
12554 \begin_inset Formula $\downarrow$
12562 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
12565 \begin_layout Plain Layout
12566 \begin_inset Formula $\framebox[20mm][]{\ensuremath{\frac{A}{B}}}$
12582 \begin_layout Standard
12583 枠の厚みも調節可能です.そのためには,以下のコマンドを数式の前に\SpecialChar TeX
12587 \begin_layout Standard
12597 \begin_inset Quotes eld
12601 \begin_inset Quotes erd
12615 \begin_inset Quotes eld
12619 \begin_inset Quotes erd
12625 \begin_layout Standard
12626 \begin_inset Quotes eld
12630 \begin_inset Quotes erd
12633 は,枠とボックス内の一文字目との間の距離を示します.これを使った例として,以下の枠付き数式をご覧下さい.
12637 \begin_layout Plain Layout
12649 \begin_inset Formula
12659 \begin_layout Standard
12681 \begin_layout Standard
12682 というコマンドが,\SpecialChar TeX
12683 モードで挿入されています.ここで与えられた値は,以後のすべてのボックスに適用されます.
12686 \begin_layout Standard
12690 \begin_layout Standard
12715 \begin_layout Plain Layout
12729 \begin_layout Standard
12730 というコマンドを,次の数式が始まる前に\SpecialChar TeX
12734 \begin_layout Subsection
12736 \begin_inset CommandInset label
12738 name "subsec:枠なしボックス"
12743 \begin_inset Index idx
12746 \begin_layout Plain Layout
12747 ぼっくす@ボックス ! わくなし@枠なし
12748 \begin_inset space \thinspace{}
12759 \begin_layout Standard
12767 \begin_inset Index idx
12770 \begin_layout Plain Layout
12785 \begin_inset Index idx
12788 \begin_layout Plain Layout
12803 \begin_inset Index idx
12806 \begin_layout Plain Layout
12817 \begin_layout Standard
12824 を使うと,ボックスを上付きにしたり下付きにしたりすることができます.しかし,通常の上付き文字・下付き文字とは違い,ボックス内の文字寸法はそのまま保たれます.
12833 \begin_layout Standard
12838 raisebox{高さ}{ボックスの内容}
12841 \begin_layout Standard
12848 と同様,ボックスに数式を入れる際には,明示的に数式として入れる必要があります.
12849 \begin_inset Note Greyedout
12852 \begin_layout Plain Layout
12867 を一回でなく二回押すことによって,もう一段数式をいれています.これは,\SpecialChar LyX
12882 \begin_layout Standard
12884 \begin_inset Tabular
12885 <lyxtabular version="3" rows="4" columns="2">
12886 <features booktabs="true" tabularvalignment="middle">
12887 <column alignment="center" valignment="top" width="0pt">
12888 <column alignment="center" valignment="top">
12890 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
12893 \begin_layout Plain Layout
12899 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
12902 \begin_layout Plain Layout
12910 <cell alignment="center" valignment="top" leftline="true" usebox="none">
12913 \begin_layout Plain Layout
12917 \begin_inset Formula $\to$
12923 \begin_inset Formula $\to$
12931 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12934 \begin_layout Plain Layout
12935 \begin_inset Formula $H\raisebox{2mm}{al}lo$
12945 <cell alignment="center" valignment="top" leftline="true" usebox="none">
12948 \begin_layout Plain Layout
12952 \begin_inset Formula $\to$
12958 \begin_inset Formula $\to$
12966 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12969 \begin_layout Plain Layout
12970 \begin_inset Formula $H\raisebox{-2mm}{al}lo$
12980 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
12983 \begin_layout Plain Layout
12987 \begin_inset Formula $\to$
12999 \begin_inset space \textvisiblespace{}
13007 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
13010 \begin_layout Plain Layout
13011 \begin_inset Formula $A=\raisebox{-2mm}{\mbox{\ensuremath{\sqrt{B}}}}$
13027 \begin_layout Standard
13055 \begin_layout Subsection
13057 \begin_inset CommandInset label
13059 name "subsec:色付きボックス"
13064 \begin_inset Index idx
13067 \begin_layout Plain Layout
13068 ぼっくす@ボックス ! いろつき@色付き
13069 \begin_inset space \thinspace{}
13080 \begin_layout Standard
13081 本節で説明されているコマンドをすべて使えるようにするためには,\SpecialChar LaTeX
13085 \begin_layout Standard
13093 \begin_layout Standard
13098 \begin_layout Plain Layout
13099 定義済みの色を使って,文書中のどこかで文章に色を付けてある場合,\SpecialChar LyX
13100 は,自動的に\SpecialChar LaTeX
13105 を読み込みます.したがって,本パッケージが二度読み込まれる可能性があるわけですが,そうなったとしても問題は生じません.
13111 \begin_inset Note Note
13114 \begin_layout Plain Layout
13115 本パッケージが二度読み込まれることを防ぐために,\SpecialChar LaTeX
13116 プリアンブルにマクロを挿入してあります.
13121 を書き加えて,\SpecialChar LaTeX
13130 \begin_layout Plain Layout
13136 は,すべての標準的な\SpecialChar LaTeX
13143 \begin_inset Index idx
13146 \begin_layout Plain Layout
13147 ぱっけーじ@パッケージ ! color
13155 \begin_layout Standard
13156 \begin_inset VSpace medskip
13166 \begin_inset Index idx
13169 \begin_layout Plain Layout
13180 \begin_layout Standard
13185 colorbox{色}{ボックスの内容}
13188 \begin_layout Standard
13189 ボックスの内容には,別のボックスが含まれても構いませんし,
13195 自体も,別のボックスに入っていても構いません(以下の二番目と三番目の例を参照してください).ボックスに数式を含める場合には,
13201 と同様,明示的に数式を作らなくてはなりません
13205 \begin_layout Plain Layout
13220 \begin_layout Standard
13224 \begin_layout Standard
13260 \begin_layout Standard
13264 \begin_layout Standard
13266 \begin_inset Tabular
13267 <lyxtabular version="3" rows="4" columns="2">
13268 <features booktabs="true" tabularvalignment="middle">
13269 <column alignment="center" valignment="top" width="0pt">
13270 <column alignment="center" valignment="top">
13272 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
13275 \begin_layout Plain Layout
13281 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
13284 \begin_layout Plain Layout
13292 <cell alignment="center" valignment="top" leftline="true" usebox="none">
13295 \begin_layout Plain Layout
13299 \begin_inset Formula $\to$
13309 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
13312 \begin_layout Plain Layout
13313 \begin_inset Formula $\colorbox{yellow}{A=B}$
13322 <row topspace="1.5mm">
13323 <cell alignment="center" valignment="top" usebox="none">
13326 \begin_layout Plain Layout
13330 \begin_inset Formula $\to$
13338 \begin_inset space \textvisiblespace{}
13346 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
13349 \begin_layout Plain Layout
13350 \begin_inset Formula $\colorbox{green}{\fbox{A=B}}$
13359 <row topspace="1.5mm" bottomspace="1mm">
13360 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
13363 \begin_layout Plain Layout
13367 \begin_inset space \textvisiblespace{}
13373 \begin_inset Formula $\to$
13389 \begin_inset space \textvisiblespace{}
13397 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
13400 \begin_layout Plain Layout
13401 \begin_inset Formula $\fbox{\colorbox{green}{\mbox{\ensuremath{\int C=D}}}}$
13417 \begin_layout Standard
13424 は,ボックスに色をつけるだけで,ボックス内の文字には色付けをしません.すべての文字に色付けするには,数式全体を選択し,
13428 ダイアログで欲しい色を選択します.このダイアログは,ツールバーボタン
13431 arg "dialog-show character"
13436 編集\SpecialChar menuseparator
13437 文字様式\SpecialChar menuseparator
13440 メニューで開くことができます.すると,数式番号も数式と同じ色になります.数式番号が数式の文字とは別の色になるようにするには,数式内部で色を変えなくてはなりません
13444 \begin_layout Standard
13448 \begin_layout Standard
13451 \begin_inset Formula
13453 \int A=B\label{eq:red}
13461 \begin_inset Formula
13463 \textcolor{red}{\int A=B}\label{eq:redgreen}
13471 \begin_layout Standard
13473 \begin_inset CommandInset ref
13480 \begin_inset Newline newline
13484 \begin_inset CommandInset ref
13486 reference "eq:redgreen"
13490 は,数式番号を緑色にするために,まず全体を緑色にします.その後,数式内の文字を赤色にします.
13493 \begin_layout Standard
13494 \begin_inset VSpace bigskip
13504 \begin_inset Index idx
13507 \begin_layout Plain Layout
13518 \begin_layout Standard
13523 fcolorbox{枠の色}{色}{ボックスの内容}
13526 \begin_layout Standard
13561 \begin_layout Plain Layout
13573 \begin_inset Formula
13575 \fcolorbox{cyan}{magenta}{A=B}
13584 \begin_layout Plain Layout
13598 \begin_layout Standard
13599 上記の数式は,以下のコマンドで作成されています.
13600 \begin_inset Newline newline
13608 \begin_inset Formula $\to$
13614 \begin_inset Formula $\to$
13624 \begin_layout Standard
13625 \begin_inset VSpace bigskip
13628 定義済みの色以外の色を使いたい場合には,まずその色を定義しなくてはなりません.
13631 \begin_layout Standard
13636 」という色を定義するには,\SpecialChar LaTeX
13640 \begin_layout Standard
13645 definecolor{darkgreen}{cmyk}{0.5,
13660 \begin_inset Index idx
13663 \begin_layout Plain Layout
13674 \begin_layout Standard
13678 \begin_layout Standard
13699 (黒)の各色を表す色空間です.コンマで区切られた四つの数字は,この色空間における各色の出力強度です.強度は,0
13700 \begin_inset space \thinspace{}
13704 \begin_inset space \thinspace{}
13707 1の範囲をとることができます.定義には,
13731 (青)の各色を意味し,この場合には,各色に対応した三つの出力強度を指定します.さらに,灰色の出力強度のみをとる
13738 \begin_layout Standard
13747 という色を持つ枠付きボックスを挙げておきます.
13748 \begin_inset Formula
13750 \colorbox{darkgreen}{\color{yellow}\boxed{\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}}
13758 \begin_layout Standard
13765 コマンドを使うと,以下のように,自前で定義した色をテキスト中でも使用することができます.
13766 \begin_inset Index idx
13769 \begin_layout Plain Layout
13770 てきすと@テキスト ! いろつき@色付き
13778 \begin_layout Standard
13782 \begin_layout Plain Layout
13786 textcolor{darkgreen}{
13795 \begin_layout Plain Layout
13805 \begin_layout Standard
13813 \begin_inset Index idx
13816 \begin_layout Plain Layout
13828 textcolor{色}{色付けをする文}
13833 \begin_layout Subsection
13835 \begin_inset CommandInset label
13837 name "subsec:段落ボックス"
13842 \begin_inset Index idx
13845 \begin_layout Plain Layout
13846 ぼっくす@ボックス ! だんらく@段落
13847 \begin_inset space \thinspace{}
13858 \begin_layout Standard
13859 いくつかの行や段落を含む,いわゆる段落ボックス(parbox)は,
13861 挿入\SpecialChar menuseparator
13873 \begin_layout Standard
13874 以下の例は,行中の枠付きparboxを示したものです.
13877 \begin_layout Standard
13878 \begin_inset VSpace medskip
13882 \begin_inset Box Boxed
13892 height_special "totalheight"
13897 backgroundcolor "none"
13900 \begin_layout Plain Layout
13901 これは段落ボックスです.これはちょうど5
13902 \begin_inset space \thinspace{}
13905 cmの幅になっており,以下のように数式を含めることもできます.
13906 \begin_inset Formula $\int A\,\mathrm{d}s=C$
13917 \begin_layout Standard
13918 \begin_inset VSpace medskip
13924 \begin_layout Standard
13925 このようなボックスは,灰色のボックス挿入枠を右クリックすることによって作ることができます.すると,ボックスの特性を表示したダイアログが現れます.上の例では,
13938 \begin_inset space \thinspace{}
13948 \begin_layout Standard
13949 \begin_inset VSpace medskip
13953 では,parboxは,以下の書式を持つ
13960 \begin_inset Index idx
13963 \begin_layout Plain Layout
13974 \begin_layout Standard
13979 parbox[位置]{幅}{ボックスの内容}
13982 \begin_layout Standard
13991 の値をとることができます.下揃えを意味する
13995 (bottom)は,ボックスを,周囲の本文中の最後の行と合わせることを意味します.上揃えを意味する
13999 (top)は,これを最初の行に合わせます.位置を指定しない時には,ボックスは事実上中央揃えになります.用例については,取扱説明書埋込オブジェクト篇の
14006 \begin_layout Standard
14007 \begin_inset VSpace bigskip
14010 数式番号を含めて,数式を完全に枠で囲むためには,数式をparbox内に収めなくてはなりません.こうするには,数式前に\SpecialChar TeX
14026 \begin_inset Index idx
14029 \begin_layout Plain Layout
14039 は,使用中の文書に設定されている行幅です.枠は,parboxの外側にあるので,枠余白と枠幅の2倍を行幅から差し引かなくてはなりません.引数中で掛け算や引き算を行
14040 うためには,\SpecialChar LaTeX
14049 \begin_layout Plain Layout
14054 は,標準的\SpecialChar LaTeX
14061 \begin_inset Index idx
14064 \begin_layout Plain Layout
14070 を,\SpecialChar LaTeX
14074 \begin_layout Standard
14082 \begin_layout Standard
14083 のように読み込んでおく必要があります.数式の後では,\SpecialChar TeX
14088 を入力して,二つのボックスを閉じておかなくてはなりません.以下に例を挙げます.
14092 \begin_layout Plain Layout
14106 \begin_layout Standard
14110 \begin_layout Plain Layout
14128 \begin_inset Formula
14130 \int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}
14139 \begin_layout Plain Layout
14150 \begin_layout Plain Layout
14164 \begin_layout Standard
14165 \begin_inset VSpace medskip
14174 の引数としてparboxが使われているので,この場合には,
14189 \begin_layout Standard
14190 \begin_inset VSpace bigskip
14193 段落ボックスは,数式にじかにコメントを付けるのにたいへん便利です.これを行うには,
14212 \begin_inset CommandInset ref
14214 reference "subsec:自己定義番号"
14221 \begin_layout Standard
14228 を使ってコメントを付けた数式の例です.
14231 \begin_layout Standard
14235 \begin_layout Plain Layout
14248 これは説明です.数式や多行数式本体からはっきりと離れています.
14252 \begin_layout Plain Layout
14264 \begin_layout Standard
14272 コマンドをサポートしていないので,上のような数式は,完全に\SpecialChar TeX
14273 モードで挿入しなくてはなりません.この数式は,以下のようなコマンド列を使って作ってあります.
14276 \begin_layout Standard
14289 というコマンドを\SpecialChar TeX
14294 \begin_layout Plain Layout
14313 を用いることもできます(数式様式に関しては,第
14314 \begin_inset CommandInset ref
14316 reference "sec:数式様式"
14325 .それから,説明を通常のテキストとして入れ,最後に
14344 コマンドは別行立て数式を作るためのものです.
14347 \begin_layout Standard
14354 を使う利点は,数式テキストモードを使用して「コメントを付けた」以下の例と比較すると,よくわかるでしょう.
14355 \begin_inset Formula
14357 5x-7b=3b\textrm{これは説明です。数式本体から離れていません...}
14365 \begin_layout Section
14367 \begin_inset Index idx
14370 \begin_layout Plain Layout
14379 \begin_layout Subsection
14381 \begin_inset CommandInset label
14388 \begin_inset Index idx
14391 \begin_layout Plain Layout
14393 \begin_inset space \thinspace{}
14402 \begin_inset Index idx
14405 \begin_layout Plain Layout
14412 \begin_inset Index idx
14415 \begin_layout Plain Layout
14424 \begin_layout Standard
14425 ここに挙げた積分演算子をすべて使えるようにするには,文書設定の
14433 オプションを有効にしなくてはなりません.
14436 \begin_layout Standard
14437 \begin_inset space \hfill{}
14441 \begin_inset Tabular
14442 <lyxtabular version="3" rows="11" columns="2">
14443 <features booktabs="true" tabularvalignment="middle">
14444 <column alignment="center" valignment="top" width="0pt">
14445 <column alignment="center" valignment="top" width="0pt">
14447 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
14450 \begin_layout Plain Layout
14456 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
14459 \begin_layout Plain Layout
14467 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14470 \begin_layout Plain Layout
14474 \begin_inset Index idx
14477 \begin_layout Plain Layout
14490 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14493 \begin_layout Plain Layout
14494 \begin_inset Formula $\int$
14504 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14507 \begin_layout Plain Layout
14515 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14518 \begin_layout Plain Layout
14519 \begin_inset Formula $\oint$
14529 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14532 \begin_layout Plain Layout
14540 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14543 \begin_layout Plain Layout
14544 \begin_inset Formula $\ointctrclockwise$
14554 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14557 \begin_layout Plain Layout
14565 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14568 \begin_layout Plain Layout
14569 \begin_inset Formula $\ointclockwise$
14579 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14582 \begin_layout Plain Layout
14590 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14593 \begin_layout Plain Layout
14594 \begin_inset Formula $\sqint$
14604 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14607 \begin_layout Plain Layout
14615 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14618 \begin_layout Plain Layout
14620 \begin_inset Formula $\fint$
14630 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14633 \begin_layout Plain Layout
14641 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14644 \begin_layout Plain Layout
14646 \begin_inset Formula $\landupint$
14656 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14659 \begin_layout Plain Layout
14667 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14670 \begin_layout Plain Layout
14672 \begin_inset Formula $\landdownint$
14682 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14685 \begin_layout Plain Layout
14693 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14696 \begin_layout Plain Layout
14697 \begin_inset Formula $\bigcap$
14707 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
14710 \begin_layout Plain Layout
14718 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
14721 \begin_layout Plain Layout
14722 \begin_inset Formula $\bigcup$
14736 \begin_inset space \hfill{}
14740 \begin_inset Tabular
14741 <lyxtabular version="3" rows="11" columns="2">
14742 <features booktabs="true" tabularvalignment="middle">
14743 <column alignment="center" valignment="top" width="0pt">
14744 <column alignment="center" valignment="top" width="0pt">
14746 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
14749 \begin_layout Plain Layout
14755 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
14758 \begin_layout Plain Layout
14766 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14769 \begin_layout Plain Layout
14773 \begin_inset Index idx
14776 \begin_layout Plain Layout
14789 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14792 \begin_layout Plain Layout
14793 \begin_inset Formula $\sum$
14803 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14806 \begin_layout Plain Layout
14810 \begin_inset Index idx
14813 \begin_layout Plain Layout
14826 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14829 \begin_layout Plain Layout
14830 \begin_inset Formula $\prod$
14840 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14843 \begin_layout Plain Layout
14851 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14854 \begin_layout Plain Layout
14855 \begin_inset Formula $\coprod$
14865 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14868 \begin_layout Plain Layout
14876 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14879 \begin_layout Plain Layout
14880 \begin_inset Formula $\bigodot$
14890 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14893 \begin_layout Plain Layout
14901 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14904 \begin_layout Plain Layout
14905 \begin_inset Formula $\bigotimes$
14915 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14918 \begin_layout Plain Layout
14926 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14929 \begin_layout Plain Layout
14930 \begin_inset Formula $\bigoplus$
14940 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14943 \begin_layout Plain Layout
14951 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14954 \begin_layout Plain Layout
14955 \begin_inset Formula $\bigwedge$
14965 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14968 \begin_layout Plain Layout
14976 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14979 \begin_layout Plain Layout
14980 \begin_inset Formula $\bigvee$
14990 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14993 \begin_layout Plain Layout
15001 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
15004 \begin_layout Plain Layout
15005 \begin_inset Formula $\bigsqcup$
15015 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
15018 \begin_layout Plain Layout
15026 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
15029 \begin_layout Plain Layout
15030 \begin_inset Formula $\biguplus$
15044 \begin_inset space \hfill{}
15050 \begin_layout Standard
15051 すべての大演算子は,数式ツールバーボタンの
15054 arg "math-insert \\intop"
15060 \begin_layout Standard
15061 これらの演算子は,よく見ないと同じように見える二項演算子よりも大きいので,大演算子と呼ばれます.大演算子はすべて,次小節で説明する「範囲」をとることができます.
15064 \begin_layout Standard
15081 で終わる別バージョンがあります.これらの演算子は,
15087 とは範囲の表示のしかたが異なります.第
15088 \begin_inset CommandInset ref
15090 reference "subsec:演算子の範囲"
15097 \begin_layout Subsubsection*
15101 \begin_layout Standard
15106 は演算子なので,アップライト体で組まれなくてはなりません.これを行うには
15111 \begin_inset Flex Ruby
15114 \begin_layout Plain Layout
15116 \begin_inset Argument post:1
15119 \begin_layout Plain Layout
15140 \begin_layout Plain Layout
15142 \begin_inset CommandInset ref
15144 reference "subsec:書体様式"
15157 の前に最小空白を挿入しなくてはなりません.たとえば,
15160 \begin_layout Standard
15162 \begin_inset Formula $\int A(x)dx$
15166 \begin_inset Newline newline
15170 \begin_inset Phantom HPhantom
15173 \begin_layout Plain Layout
15180 \begin_inset Formula $\int A(x)\,\mathrm{d}x$
15186 \begin_layout Standard
15187 多重積分に関しては,以下のコマンドがあります.
15188 \begin_inset VSpace medskip
15194 \begin_layout Standard
15195 \begin_inset space \hfill{}
15199 \begin_inset Tabular
15200 <lyxtabular version="3" rows="4" columns="2">
15201 <features booktabs="true" tabularvalignment="middle">
15202 <column alignment="center" valignment="top" width="0pt">
15203 <column alignment="center" valignment="top" width="0pt">
15205 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
15208 \begin_layout Plain Layout
15214 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
15217 \begin_layout Plain Layout
15224 <row bottomspace="1mm">
15225 <cell alignment="center" valignment="top" usebox="none">
15228 \begin_layout Plain Layout
15236 <cell alignment="center" valignment="top" usebox="none">
15239 \begin_layout Plain Layout
15240 \begin_inset Formula $\iint$
15249 <row bottomspace="1mm">
15250 <cell alignment="center" valignment="top" usebox="none">
15253 \begin_layout Plain Layout
15261 <cell alignment="center" valignment="top" usebox="none">
15264 \begin_layout Plain Layout
15265 \begin_inset Formula $\oiint$
15274 <row bottomspace="1mm">
15275 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15278 \begin_layout Plain Layout
15286 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15289 \begin_layout Plain Layout
15290 \begin_inset Formula $\sqiint$
15304 \begin_inset space \hfill{}
15308 \begin_inset Tabular
15309 <lyxtabular version="3" rows="4" columns="2">
15310 <features booktabs="true" tabularvalignment="middle">
15311 <column alignment="center" valignment="top" width="0pt">
15312 <column alignment="center" valignment="top" width="0pt">
15314 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
15317 \begin_layout Plain Layout
15323 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
15326 \begin_layout Plain Layout
15333 <row bottomspace="1mm">
15334 <cell alignment="center" valignment="top" usebox="none">
15337 \begin_layout Plain Layout
15345 <cell alignment="center" valignment="top" usebox="none">
15348 \begin_layout Plain Layout
15349 \begin_inset Formula $\iiint$
15358 <row bottomspace="1mm">
15359 <cell alignment="center" valignment="top" usebox="none">
15362 \begin_layout Plain Layout
15370 <cell alignment="center" valignment="top" usebox="none">
15373 \begin_layout Plain Layout
15374 \begin_inset Formula $\iiiint$
15383 <row bottomspace="1mm">
15384 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15387 \begin_layout Plain Layout
15395 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15398 \begin_layout Plain Layout
15399 \begin_inset Formula $\dotsint$
15413 \begin_inset space \hfill{}
15419 \begin_layout Subsection
15421 \begin_inset CommandInset label
15423 name "subsec:演算子の範囲"
15428 \begin_inset Index idx
15431 \begin_layout Plain Layout
15440 \begin_layout Standard
15441 範囲は,上付き文字と下付き文字とで作成することができます.
15444 \begin_layout Standard
15446 \begin_inset Tabular
15447 <lyxtabular version="3" rows="2" columns="2">
15448 <features booktabs="true" tabularvalignment="middle">
15449 <column alignment="center" valignment="top" width="0pt">
15450 <column alignment="center" valignment="top" width="0pt">
15452 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
15455 \begin_layout Plain Layout
15461 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
15464 \begin_layout Plain Layout
15472 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15475 \begin_layout Plain Layout
15481 \begin_inset space \textvisiblespace{}
15485 \begin_inset Formula $\to$
15489 \begin_inset Formula $\to$
15497 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15500 \begin_layout Plain Layout
15501 \begin_inset Formula $\prod_{0}^{\infty}A(x)$
15517 \begin_layout Standard
15518 行内数式では,範囲は演算子の右横に表示されます.別行立て数式での範囲は,積分範囲を除き,演算子の上と下に表示されます.
15521 \begin_layout Standard
15522 範囲が演算子の横に表示されるように強制するには,カーソルを当該演算子の直後において,
15524 編集\SpecialChar menuseparator
15525 数式\SpecialChar menuseparator
15535 \begin_inset Flex Ruby
15538 \begin_layout Plain Layout
15540 \begin_inset Argument post:1
15543 \begin_layout Plain Layout
15560 )を選択することで範囲形式を変更することができます.以下はその用例です.
15563 \begin_layout Standard
15564 既定の範囲形式は,以下のようになっています.
15565 \begin_inset Formula
15567 \sum_{x=0}^{\infty}\frac{1}{x^{2}}
15579 \begin_inset Formula
15581 \sum\nolimits _{x=0}^{\infty}\frac{1}{x^{2}}
15602 で終わるもの以外の積分記号では,範囲は,既定で演算子の横に設定されます.しかし,多重積分においては,範囲を演算子の下に置くべきときがあります.このことから,以下
15607 にして積分記号の下に置くようにしています.
15608 \begin_inset Formula
15610 \iiint\limits _{V}X\,\mathrm{d}V=U\label{eq:VolInt}
15618 \begin_layout Standard
15619 \begin_inset VSpace medskip
15629 \begin_inset Index idx
15632 \begin_layout Plain Layout
15647 \begin_inset Index idx
15650 \begin_layout Plain Layout
15658 コマンドを使用します.たとえば,以下の表記
15659 \begin_inset Formula
15661 \sum_{\begin{subarray}{c}
15665 \end{subarray}}^{n}k^{-2}\label{eq:substack}
15673 \begin_layout Standard
15674 を作成するには,以下のようにしなくてはなりません.
15675 \begin_inset Newline newline
15687 \begin_inset space \textvisiblespace{}
15692 というコマンドを入力します.すると,和演算子の下の青枠に移動するので,ここに
15697 \begin_inset space \textvisiblespace{}
15702 コマンドを挿入します.すると,青枠が紫枠の中に入って,ここに複数の行を書き込むことができるようになります.新しい行は,改行(
15705 arg "newline-insert newline"
15708 )を挿入することで作ることができます.ここに
15709 \begin_inset Newline newline
15715 \begin_inset Formula $\boldsymbol{<}$
15719 \begin_inset Formula $\boldsymbol{<}$
15723 \begin_inset Newline newline
15728 と入力すると,新規行のための新しい枠が現れます.
15731 \begin_layout Standard
15738 編集\SpecialChar menuseparator
15741 メニューで変更することができますが,右揃えにするには,行頭に
15746 \begin_inset space \textvisiblespace{}
15754 \begin_layout Standard
15761 コマンドは,各行がつねに中央揃えになることを除いては,
15770 \begin_layout Standard
15771 \begin_inset VSpace bigskip
15774 演算子の後に来る文字は,範囲の横に来るので,
15775 \begin_inset CommandInset ref
15777 reference "eq:substack"
15781 式のように,演算子の横の余白が大きくなりすぎることがあります.これを防ぐには,コマンド
15788 \begin_inset Index idx
15791 \begin_layout Plain Layout
15799 を使うことができます.これを有効化するには,文書設定の
15808 \begin_inset Index idx
15811 \begin_layout Plain Layout
15812 ぱっけーじ@パッケージ ! mathtools
15830 \begin_inset space \thinspace{}
15838 \begin_inset Newline newline
15844 \begin_inset CommandInset ref
15846 reference "eq:substack"
15853 \begin_layout Standard
15861 \begin_layout Standard
15862 の波括弧の中に,範囲付きの演算子を挿入することになります.波括弧を閉じた後に,数式を続けます.例:
15863 \begin_inset Formula
15865 \sum_{\mathclap{\substack{0<k<1000\\
15877 \begin_inset space \thinspace{}
15882 ptにすることも可能です.そのためには,
15905 \begin_layout Standard
15906 \begin_inset Formula
15908 Y\smashoperator{\sum_{1\le i\le j\le n}^{n=3456}}X_{ij}=Y\smashoperator[l]{\sum_{1\le i\le j\le n}^{n=3456}}X_{ij}=Y\smashoperator[r]{\sum_{1\le i\le j\le n}^{n=3456}}X_{ij}
15916 \begin_layout Standard
15917 \begin_inset VSpace bigskip
15923 \begin_layout Standard
15924 範囲を持つ演算子が続くとき,出力での,範囲の組版は出来が良くないものになることがあります.下記をご覧ください.
15925 \begin_inset Formula
15927 \text{a)}\lim_{n\to\infty}\max_{p\ge n}\quad\text{b)}\lim_{n\to\infty}\max_{p^{2}\ge n}\quad\text{c)}\lim_{n\to\infty}\sup_{p^{2}\ge nK}\quad\text{d)}\limsup_{n\to\infty}\max_{p\ge n}
15941 \begin_inset Index idx
15944 \begin_layout Plain Layout
15945 ぱっけーじ@パッケージ ! mathtools
15954 オプションを指定してください.その上で,数式中の最初の演算子の前に直接,
15961 \begin_inset Index idx
15964 \begin_layout Plain Layout
15972 を置いてください.そうすると,上記の例はこのようになります.
15973 \begin_inset Formula
15975 \text{a)}\adjustlimits\lim_{n\to\infty}\max_{p\ge n}\quad\text{b)}\adjustlimits\lim_{n\to\infty}\max_{p^{2}\ge n}\quad\text{c)}\adjustlimits\lim_{n\to\infty}\sup_{p^{2}\ge nK}\quad\text{d)}\adjustlimits\limsup_{n\to\infty}\max_{p\ge n}
15983 \begin_layout Standard
15984 \begin_inset VSpace bigskip
15987 一つの範囲を複数の演算子に用いる方法が,第
15988 \begin_inset CommandInset ref
15990 reference "subsec:自己定義演算子"
15997 \begin_layout Subsection
15999 \begin_inset Index idx
16002 \begin_layout Plain Layout
16003 えんざんし@演算子 ! しゅうしょく@修飾
16011 \begin_layout Standard
16019 \begin_inset Index idx
16022 \begin_layout Plain Layout
16037 \begin_inset Index idx
16040 \begin_layout Plain Layout
16048 コマンドを使うと,それぞれ演算子の上や下に,文字をアクセントとして付けることができます.また,
16055 \begin_inset Index idx
16058 \begin_layout Plain Layout
16066 コマンドを使うと,文字を演算子の前や後ろに付けることができます.
16069 \begin_layout Standard
16079 \begin_layout Itemize
16086 は,演算子の隅に文字を置くのに用います.
16089 \begin_layout Itemize
16096 は,演算子の前後に文字を置くのに用います(この派生版は,\SpecialChar LaTeX
16106 \begin_layout Itemize
16113 は,演算子の左隅と後ろに文字を置くのに用います.
16116 \begin_layout Itemize
16123 は,演算子の右隅と前に文字を置くのに用います.
16126 \begin_layout Standard
16132 \begin_inset space \textvisiblespace{}
16138 \begin_inset space \textvisiblespace{}
16142 \begin_inset Formula $\to$
16146 \begin_inset Formula $\to$
16150 \begin_inset space \textvisiblespace{}
16160 \begin_inset Formula
16162 \sideset{}{'}\sum_{k=1}^{n}
16170 \begin_layout Standard
16171 \begin_inset Note Greyedout
16174 \begin_layout Plain Layout
16181 は,大演算子を修飾するためだけに用いることができ,二項演算子には用いることができません.
16189 \begin_layout Standard
16190 のようになります.最後の例からわかるように,
16202 では,記号や文字にアクセントをつけることもできます.一方. また,
16207 \begin_inset space \textvisiblespace{}
16213 \begin_inset space \textvisiblespace{}
16219 \begin_inset Formula $\uparrow$
16227 \begin_inset Formula
16229 \overset{a}{\maltese}
16237 \begin_layout Subsection
16239 \begin_inset CommandInset label
16241 name "subsec:二項演算子"
16246 \begin_inset Index idx
16249 \begin_layout Plain Layout
16251 \begin_inset space \thinspace{}
16262 \begin_layout Standard
16263 二項演算子は,前後に文字がある場合,周囲に余白が入ります.
16264 \begin_inset VSpace medskip
16270 \begin_layout Standard
16271 \begin_inset Tabular
16272 <lyxtabular version="3" rows="13" columns="2">
16273 <features booktabs="true" tabularvalignment="middle">
16274 <column alignment="center" valignment="top" width="0pt">
16275 <column alignment="center" valignment="top" width="0pt">
16277 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
16280 \begin_layout Plain Layout
16282 \begin_inset Note Note
16285 \begin_layout Plain Layout
16292 はスペーサーとして使用しているだけです.
16302 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
16305 \begin_layout Plain Layout
16313 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16316 \begin_layout Plain Layout
16322 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16325 \begin_layout Plain Layout
16326 \begin_inset Formula $+$
16336 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16339 \begin_layout Plain Layout
16345 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16348 \begin_layout Plain Layout
16349 \begin_inset Formula $-$
16359 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16362 \begin_layout Plain Layout
16370 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16373 \begin_layout Plain Layout
16374 \begin_inset Formula $\pm$
16384 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16387 \begin_layout Plain Layout
16395 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16398 \begin_layout Plain Layout
16399 \begin_inset Formula $\mp$
16409 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16412 \begin_layout Plain Layout
16420 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16423 \begin_layout Plain Layout
16424 \begin_inset Formula $\cdot$
16434 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16437 \begin_layout Plain Layout
16445 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16448 \begin_layout Plain Layout
16449 \begin_inset Formula $\times$
16459 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16462 \begin_layout Plain Layout
16470 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16473 \begin_layout Plain Layout
16474 \begin_inset Formula $\div$
16484 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16487 \begin_layout Plain Layout
16491 \begin_layout Plain Layout
16504 \begin_layout Plain Layout
16516 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16519 \begin_layout Plain Layout
16520 \begin_inset Formula $*$
16530 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16533 \begin_layout Plain Layout
16541 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16544 \begin_layout Plain Layout
16545 \begin_inset Formula $\star$
16555 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16558 \begin_layout Plain Layout
16566 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16569 \begin_layout Plain Layout
16570 \begin_inset Formula $\circ$
16580 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16583 \begin_layout Plain Layout
16591 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16594 \begin_layout Plain Layout
16595 \begin_inset Formula $\diamond$
16605 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
16608 \begin_layout Plain Layout
16616 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
16619 \begin_layout Plain Layout
16620 \begin_inset Formula $\bullet$
16634 \begin_inset space \hfill{}
16638 \begin_inset Tabular
16639 <lyxtabular version="3" rows="13" columns="2">
16640 <features booktabs="true" tabularvalignment="middle">
16641 <column alignment="center" valignment="top" width="0pt">
16642 <column alignment="center" valignment="top" width="0pt">
16644 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
16647 \begin_layout Plain Layout
16653 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
16656 \begin_layout Plain Layout
16664 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16667 \begin_layout Plain Layout
16675 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16678 \begin_layout Plain Layout
16679 \begin_inset Formula $\nabla$
16689 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16692 \begin_layout Plain Layout
16700 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16703 \begin_layout Plain Layout
16704 \begin_inset Formula $\bigtriangledown$
16714 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16717 \begin_layout Plain Layout
16725 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16728 \begin_layout Plain Layout
16729 \begin_inset Formula $\bigtriangleup$
16739 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16742 \begin_layout Plain Layout
16750 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16753 \begin_layout Plain Layout
16754 \begin_inset Formula $\Box$
16764 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16767 \begin_layout Plain Layout
16775 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16778 \begin_layout Plain Layout
16779 \begin_inset Formula $\cap$
16789 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16792 \begin_layout Plain Layout
16800 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16803 \begin_layout Plain Layout
16804 \begin_inset Formula $\cup$
16814 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16817 \begin_layout Plain Layout
16825 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16828 \begin_layout Plain Layout
16829 \begin_inset Formula $\dagger$
16839 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16842 \begin_layout Plain Layout
16850 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16853 \begin_layout Plain Layout
16854 \begin_inset Formula $\ddagger$
16864 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16867 \begin_layout Plain Layout
16875 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16878 \begin_layout Plain Layout
16879 \begin_inset Formula $\wr$
16889 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16892 \begin_layout Plain Layout
16900 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16903 \begin_layout Plain Layout
16904 \begin_inset Formula $\bigcirc$
16914 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16917 \begin_layout Plain Layout
16925 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16928 \begin_layout Plain Layout
16929 \begin_inset Formula $\wedge$
16939 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
16942 \begin_layout Plain Layout
16950 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
16953 \begin_layout Plain Layout
16954 \begin_inset Formula $\vee$
16968 \begin_inset space \hfill{}
16972 \begin_inset Tabular
16973 <lyxtabular version="3" rows="13" columns="2">
16974 <features booktabs="true" tabularvalignment="middle">
16975 <column alignment="center" valignment="top" width="0pt">
16976 <column alignment="center" valignment="top" width="0pt">
16978 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
16981 \begin_layout Plain Layout
16987 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
16990 \begin_layout Plain Layout
16998 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17001 \begin_layout Plain Layout
17009 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17012 \begin_layout Plain Layout
17013 \begin_inset Formula $\oplus$
17023 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17026 \begin_layout Plain Layout
17034 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17037 \begin_layout Plain Layout
17038 \begin_inset Formula $\ominus$
17048 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17051 \begin_layout Plain Layout
17059 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17062 \begin_layout Plain Layout
17063 \begin_inset Formula $\otimes$
17073 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17076 \begin_layout Plain Layout
17084 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17087 \begin_layout Plain Layout
17088 \begin_inset Formula $\oslash$
17098 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17101 \begin_layout Plain Layout
17109 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17112 \begin_layout Plain Layout
17113 \begin_inset Formula $\odot$
17123 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17126 \begin_layout Plain Layout
17134 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17137 \begin_layout Plain Layout
17138 \begin_inset Formula $\amalg$
17148 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17151 \begin_layout Plain Layout
17159 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17162 \begin_layout Plain Layout
17163 \begin_inset Formula $\uplus$
17173 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17176 \begin_layout Plain Layout
17184 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17187 \begin_layout Plain Layout
17188 \begin_inset Formula $\setminus$
17198 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17201 \begin_layout Plain Layout
17209 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17212 \begin_layout Plain Layout
17213 \begin_inset Formula $\sqcap$
17223 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17226 \begin_layout Plain Layout
17234 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17237 \begin_layout Plain Layout
17238 \begin_inset Formula $\sqcup$
17248 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17251 \begin_layout Plain Layout
17259 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17262 \begin_layout Plain Layout
17263 \begin_inset Formula $\triangleleft$
17273 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
17276 \begin_layout Plain Layout
17284 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
17287 \begin_layout Plain Layout
17288 \begin_inset Formula $\triangleright$
17304 \begin_layout Standard
17305 二項演算子は,すべて数式ツールバーボタンの
17308 arg "math-insert \\pm"
17314 \begin_layout Standard
17338 \begin_inset Formula $\nabla^{2}$
17344 \begin_layout Standard
17347 挿入\SpecialChar menuseparator
17363 \begin_layout Subsection
17365 \begin_inset CommandInset label
17367 name "subsec:自己定義演算子"
17372 \begin_inset Index idx
17375 \begin_layout Plain Layout
17376 えんざんし@演算子 ! じこていぎ@自己定義
17377 \begin_inset space \thinspace{}
17388 \begin_layout Standard
17394 DeclareMathOperator
17397 \begin_inset Index idx
17400 \begin_layout Plain Layout
17405 DeclareMathOperator
17410 コマンドを使用すると,自己定義演算子を定義することができます.このコマンドの書式は
17413 \begin_layout Standard
17418 DeclareMathOperator{新規コマンド}{表示}
17421 \begin_layout Standard
17422 です.「表示」は,出力での演算子の表示され方を定義する文字や記号です.大演算子を定義するには,コマンドの後に「*」を置きます.自己定義の大演算子は,すべて第
17423 \begin_inset CommandInset ref
17425 reference "subsec:演算子の範囲"
17429 節で述べられた範囲を指定することができます.
17432 \begin_layout Standard
17433 たとえば,以下のような\SpecialChar LaTeX
17437 \begin_layout Standard
17442 DeclareMathOperator*{
17449 \begin_layout Standard
17451 \begin_inset CommandInset ref
17453 reference "subsec:その他の記号"
17457 節にある菱形記号を使った大演算子を挿入する,以下のようなコマンド
17464 \begin_inset Formula
17466 \Lozenge_{n=1}^{\infty}
17482 \begin_inset Formula $\to$
17490 \begin_layout Standard
17491 \begin_inset VSpace bigskip
17494 自己定義演算子を,同一文書内で複数回用いない時には,以下の書式を持つ
17501 \begin_inset Index idx
17504 \begin_layout Plain Layout
17519 \begin_inset Index idx
17522 \begin_layout Plain Layout
17530 コマンドを用いて定義を行うこともできます.
17533 \begin_layout Standard
17547 \begin_layout Standard
17563 \begin_layout Standard
17570 は,以下のように,複数の演算子に共通の範囲指定を行うのに用いることができます.
17573 \begin_layout Standard
17574 \begin_inset Formula
17576 \mathop{\sum\negmedspace\sum}_{i,j=1}^{N}
17584 \begin_layout Standard
17586 \begin_inset Newline newline
17602 \begin_inset space \textvisiblespace{}
17608 \begin_inset Formula $\to$
17614 \begin_inset space \textvisiblespace{}
17620 \begin_inset Newline newline
17628 \begin_layout Section
17630 \begin_inset Index idx
17633 \begin_layout Plain Layout
17640 \begin_inset Index idx
17643 \begin_layout Plain Layout
17648 \begin_layout Plain Layout
17659 \begin_layout Plain Layout
17674 \begin_layout Subsection
17676 \begin_inset CommandInset label
17683 \begin_inset Index idx
17686 \begin_layout Plain Layout
17695 \begin_layout Standard
17696 数式中のラテン文字は,以下の書体様式のうちいずれかに設定することができます.
17699 \begin_layout Standard
17701 \begin_inset Tabular
17702 <lyxtabular version="3" rows="6" columns="3">
17703 <features booktabs="true" tabularvalignment="middle">
17704 <column alignment="center" valignment="top" width="0pt">
17705 <column alignment="center" valignment="top">
17706 <column alignment="center" valignment="top">
17708 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
17711 \begin_layout Plain Layout
17717 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
17720 \begin_layout Plain Layout
17726 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
17729 \begin_layout Plain Layout
17739 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17742 \begin_layout Plain Layout
17748 \begin_inset space \textvisiblespace{}
17758 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17761 \begin_layout Plain Layout
17762 \begin_inset Formula $\mathbb{ABC}$
17770 <cell alignment="center" valignment="top" usebox="none">
17773 \begin_layout Plain Layout
17781 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17784 \begin_layout Plain Layout
17790 \begin_inset space \textvisiblespace{}
17800 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17803 \begin_layout Plain Layout
17804 \begin_inset Formula $\mathbf{AbC}$
17812 <cell alignment="center" valignment="top" usebox="none">
17815 \begin_layout Plain Layout
17828 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17831 \begin_layout Plain Layout
17837 \begin_inset space \textvisiblespace{}
17847 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17850 \begin_layout Plain Layout
17851 \begin_inset Formula $\boldsymbol{AbC}$
17859 <cell alignment="center" valignment="top" usebox="none">
17862 \begin_layout Plain Layout
17865 arg "font-boldsymbol"
17875 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17878 \begin_layout Plain Layout
17884 \begin_inset space \textvisiblespace{}
17894 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17897 \begin_layout Plain Layout
17898 \begin_inset Formula $\mathcal{ABC}$
17906 <cell alignment="center" valignment="top" usebox="none">
17909 \begin_layout Plain Layout
17917 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
17920 \begin_layout Plain Layout
17926 \begin_inset space \textvisiblespace{}
17936 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
17939 \begin_layout Plain Layout
17940 \begin_inset Formula $\mathfrak{AbC}$
17948 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
17951 \begin_layout Plain Layout
17965 \begin_layout Standard
17967 \begin_inset Tabular
17968 <lyxtabular version="3" rows="6" columns="3">
17969 <features booktabs="true" tabularvalignment="middle">
17970 <column alignment="center" valignment="top" width="0pt">
17971 <column alignment="center" valignment="top">
17972 <column alignment="center" valignment="top">
17974 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
17977 \begin_layout Plain Layout
17983 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
17986 \begin_layout Plain Layout
17992 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
17995 \begin_layout Plain Layout
18005 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18008 \begin_layout Plain Layout
18014 \begin_inset space \textvisiblespace{}
18024 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18027 \begin_layout Plain Layout
18028 \begin_inset Formula $\mathit{AbC}$
18036 <cell alignment="center" valignment="top" usebox="none">
18039 \begin_layout Plain Layout
18047 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18050 \begin_layout Plain Layout
18056 \begin_inset space \textvisiblespace{}
18066 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18069 \begin_layout Plain Layout
18070 \begin_inset Formula $\mathrm{AbC}$
18078 <cell alignment="center" valignment="top" usebox="none">
18081 \begin_layout Plain Layout
18094 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18097 \begin_layout Plain Layout
18103 \begin_inset space \textvisiblespace{}
18113 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18116 \begin_layout Plain Layout
18117 \begin_inset Formula $\mathsf{AbC}$
18125 <cell alignment="center" valignment="top" usebox="none">
18128 \begin_layout Plain Layout
18141 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18144 \begin_layout Plain Layout
18150 \begin_inset space \textvisiblespace{}
18160 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18163 \begin_layout Plain Layout
18164 \begin_inset Formula $\mathtt{AbC}$
18172 <cell alignment="center" valignment="top" usebox="none">
18175 \begin_layout Plain Layout
18178 arg "font-typewriter"
18188 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
18191 \begin_layout Plain Layout
18197 \begin_inset space \textvisiblespace{}
18207 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
18210 \begin_layout Plain Layout
18211 \begin_inset Formula $\mathscr{ABC}$
18219 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
18222 \begin_layout Plain Layout
18236 \begin_layout Standard
18237 \begin_inset Note Greyedout
18240 \begin_layout Plain Layout
18257 様式は,大文字にのみ使用することができます.
18265 \begin_layout Standard
18275 \begin_layout Standard
18276 書体様式コマンドは,以下のように数式構成要素内の文字に対しても機能します.
18277 \begin_inset Formula
18279 \mathfrak{A=\frac{b}{C}}
18287 \begin_layout Standard
18288 数式テキストに含まれる文字に対しては,数式書体様式は反映せず,
18294 様式で表示されます.数式テキストの様式を文字様式ダイアログで設定することができないのは,\SpecialChar LyX
18299 \begin_layout Plain Layout
18300 \begin_inset CommandInset href
18302 name "LyX-bug #4629"
18303 target "https://www.lyx.org/trac/ticket/4629"
18316 \begin_layout Standard
18319 編集\SpecialChar menuseparator
18320 数学\SpecialChar menuseparator
18326 arg "math-insert \\font"
18332 \begin_layout Subsection
18334 \begin_inset CommandInset label
18336 name "subsec:ボールド体の数式"
18341 \begin_inset Index idx
18344 \begin_layout Plain Layout
18345 すうしき@数式 ! ぼーるどたい@ボールド体
18353 \begin_layout Standard
18354 数式全体をボールド体にしようとすると,前節の
18360 コマンドは,ギリシャ文字の小文字に対しては機能しないので,使用することができません.さらにこのコマンドは,以下の式のように,ラテン文字をつねにアップライト体に印
18364 \begin_layout Standard
18365 \begin_inset Formula
18367 \mathbf{\int_{n}^{2}f(\theta)=\Gamma}\qquad\textrm{\textbackslash mathbfを使用した数式}
18375 \begin_layout Standard
18376 この数式を正しく表示するには,以下のように,
18383 \begin_inset Formula
18385 \boldsymbol{\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{\textbackslash boldsymbolを使用した数式}}
18394 に設定する方法もあります.この環境は,\SpecialChar TeX
18400 \begin_inset Index idx
18403 \begin_layout Plain Layout
18413 コマンドを挿入することによって作ることができます.環境を閉じるには,
18418 \begin_inset Index idx
18421 \begin_layout Plain Layout
18431 コマンドを\SpecialChar TeX
18436 \begin_layout Plain Layout
18446 \begin_inset Formula
18448 \int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{boldmath環境に置いた数式}
18457 \begin_layout Plain Layout
18469 \begin_layout Subsection
18471 \begin_inset Index idx
18474 \begin_layout Plain Layout
18483 \begin_layout Standard
18484 数式も,通常の本文と同様,色を付けることができます.数式あるいは数式の一部を選択して,文字様式ダイアログを使用して下さい.下記は,マゼンタ色にした数式です.
18485 \begin_inset Formula
18487 {\color{magenta}\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}
18495 \begin_layout Standard
18497 \begin_inset CommandInset ref
18499 reference "subsec:色付きボックス"
18503 節に述べられているように,自己定義の色を定義することもできます.自己定義の色は,以下の書式を持つ
18510 \begin_inset Index idx
18513 \begin_layout Plain Layout
18522 コードコマンドで適用することができます.
18525 \begin_layout Standard
18530 textcolor{色}{文字ないし数式}
18533 \begin_layout Standard
18534 下記の例は,全体を濃緑にし,一部を赤にしています.
18537 \begin_layout Standard
18541 \begin_layout Plain Layout
18545 textcolor{darkgreen}{
18551 \begin_inset Formula
18553 \int A\,\mathrm{d}x=\frac{{\color{red}\sqrt[5]{B}}}{\ln\left(\frac{1}{3}\right)}
18562 \begin_layout Plain Layout
18572 \begin_layout Standard
18574 のバグのため,自己定義色は数式全体に対してしか使用することができません
18578 \begin_layout Plain Layout
18579 \begin_inset CommandInset href
18581 name "LyX-bug #5269"
18582 target "https://www.lyx.org/trac/ticket/5269"
18595 \begin_layout Subsection
18597 \begin_inset CommandInset label
18604 \begin_inset Index idx
18607 \begin_layout Plain Layout
18616 \begin_layout Standard
18617 数式内の文字については,本文中の文字同様,以下の書体寸法設定コマンドがあります.
18620 \begin_layout Standard
18664 \begin_inset Newline newline
18686 \begin_layout Standard
18687 これらのコマンドによって生成される実際の書体寸法は,文書の書体寸法に依存し,文書の書体寸法が
18693 コマンドに設定されます.他のコマンドは,
18699 を基準として拡大ないし縮小されます.しかしながら,書体寸法は一定の値を越えることができないようになっています.たとえば,文書書体寸法が12
18700 \begin_inset space \thinspace{}
18718 \begin_layout Standard
18719 ある場所以降のすべての数式と本文文字を変更するには,書体寸法コマンドを\SpecialChar TeX
18720 モードで挿入します.元の書体寸法に戻すには,数式の後に\SpecialChar TeX
18730 \begin_layout Standard
18731 数式内では,以下の寸法コマンドまたはツールバーボタン
18734 arg "math-insert \\style"
18737 を使用して,寸法を変更することができます.
18740 \begin_layout Standard
18743 \begin_inset Tabular
18744 <lyxtabular version="3" rows="5" columns="2">
18745 <features booktabs="true" tabularvalignment="middle">
18746 <column alignment="center" valignment="top" width="0pt">
18747 <column alignment="center" valignment="top">
18749 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
18752 \begin_layout Plain Layout
18758 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
18761 \begin_layout Plain Layout
18769 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18772 \begin_layout Plain Layout
18776 \begin_inset Index idx
18779 \begin_layout Plain Layout
18792 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18795 \begin_layout Plain Layout
18796 \begin_inset Formula ${\displaystyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
18805 <row topspace="1mm">
18806 <cell alignment="center" valignment="top" usebox="none">
18809 \begin_layout Plain Layout
18817 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18820 \begin_layout Plain Layout
18821 \begin_inset Formula ${\textstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
18831 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18834 \begin_layout Plain Layout
18842 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18845 \begin_layout Plain Layout
18846 \begin_inset Formula ${\scriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
18856 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
18859 \begin_layout Plain Layout
18867 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
18870 \begin_layout Plain Layout
18871 \begin_inset Formula ${\scriptscriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
18887 \begin_layout Standard
18888 これらのコマンドを入力すると,青いボックスが現れるので,そこに数式のパーツを入れることができます.
18891 \begin_layout Standard
18892 フォント寸法を変更するにはもう一つの方法がありますが,これは記号と数式内テキストのみに使うことができます.これを使うには,書体寸法コマンドを数式テキスト内に挿入
18893 します.数式テキストの終わりか,別の書体寸法コマンドが現れるまでの文字すべてが,選択した寸法になります.以下に二つの例を挙げます.
18894 \begin_inset VSpace -2mm
18900 \begin_layout Standard
18904 \begin_layout Plain Layout
18914 \begin_inset Formula
18916 A=\frac{B}{c}\cdot\maltese
18922 \begin_inset Formula
18924 \maltese A\textrm{\Large\maltese\textit{A}}\textrm{\tiny\maltese\textit{A}}
18933 \begin_layout Plain Layout
18945 \begin_layout Standard
18946 \begin_inset VSpace medskip
18955 コマンドが挿入されています.二つ目の数式を入力するコマンドは,
18956 \begin_inset Newline newline
18964 \begin_inset space \textvisiblespace{}
18970 \begin_inset space \textvisiblespace{}
18976 \begin_inset space \textvisiblespace{}
18982 \begin_inset space \textvisiblespace{}
18986 \begin_inset Formula $\to$
18990 \begin_inset Formula $\to$
18994 \begin_inset Newline newline
18998 \begin_inset space \hspace*{}
19009 \begin_inset space \textvisiblespace{}
19015 \begin_inset space \textvisiblespace{}
19021 \begin_inset space \textvisiblespace{}
19025 \begin_inset Newline newline
19033 \begin_layout Standard
19034 ある記号を別の寸法で表示することができないときには,その記号はつねに既定寸法で表示されます.
19037 \begin_layout Section
19039 \begin_inset Index idx
19042 \begin_layout Plain Layout
19051 \begin_layout Standard
19052 すべてのギリシャ文字は,ツールバーボタンの
19055 arg "math-insert \\alpha"
19058 からでも挿入することができます.各国の組版規則では,数式内のギリシャ文字はどれもイタリック体か斜体で組版されなくてはならないことになっていますが,フランス語やロ
19059 シア語などいくつかの言語では,それにもかかわらず立体で組版されることがあります.
19062 \begin_layout Subsection
19064 \begin_inset Index idx
19067 \begin_layout Plain Layout
19068 ぎりしゃもじ@ギリシャ文字 ! こもじ@小文字
19076 \begin_layout Standard
19077 \begin_inset space \hfill{}
19081 \begin_inset Tabular
19082 <lyxtabular version="3" rows="11" columns="2">
19083 <features booktabs="true" tabularvalignment="middle">
19084 <column alignment="center" valignment="top" width="0pt">
19085 <column alignment="center" valignment="top" width="0pt">
19087 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
19090 \begin_layout Plain Layout
19096 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
19099 \begin_layout Plain Layout
19107 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19110 \begin_layout Plain Layout
19118 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19121 \begin_layout Plain Layout
19122 \begin_inset Formula $\alpha$
19132 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19135 \begin_layout Plain Layout
19143 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19146 \begin_layout Plain Layout
19147 \begin_inset Formula $\beta$
19157 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19160 \begin_layout Plain Layout
19168 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19171 \begin_layout Plain Layout
19172 \begin_inset Formula $\gamma$
19182 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19185 \begin_layout Plain Layout
19193 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19196 \begin_layout Plain Layout
19197 \begin_inset Formula $\delta$
19207 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19210 \begin_layout Plain Layout
19218 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19221 \begin_layout Plain Layout
19222 \begin_inset Formula $\epsilon$
19232 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19235 \begin_layout Plain Layout
19243 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19246 \begin_layout Plain Layout
19247 \begin_inset Formula $\varepsilon$
19257 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19260 \begin_layout Plain Layout
19268 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19271 \begin_layout Plain Layout
19272 \begin_inset Formula $\zeta$
19282 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19285 \begin_layout Plain Layout
19293 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19296 \begin_layout Plain Layout
19297 \begin_inset Formula $\eta$
19307 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19310 \begin_layout Plain Layout
19318 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19321 \begin_layout Plain Layout
19322 \begin_inset Formula $\theta$
19332 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
19335 \begin_layout Plain Layout
19343 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
19346 \begin_layout Plain Layout
19347 \begin_inset Formula $\vartheta$
19361 \begin_inset space \hfill{}
19365 \begin_inset Tabular
19366 <lyxtabular version="3" rows="12" columns="2">
19367 <features booktabs="true" tabularvalignment="middle">
19368 <column alignment="center" valignment="top" width="0pt">
19369 <column alignment="center" valignment="top" width="0pt">
19371 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
19374 \begin_layout Plain Layout
19380 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
19383 \begin_layout Plain Layout
19391 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19394 \begin_layout Plain Layout
19402 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19405 \begin_layout Plain Layout
19406 \begin_inset Formula $\iota$
19416 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19419 \begin_layout Plain Layout
19427 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19430 \begin_layout Plain Layout
19431 \begin_inset Formula $\kappa$
19441 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19444 \begin_layout Plain Layout
19452 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19455 \begin_layout Plain Layout
19456 \begin_inset Formula $\varkappa$
19466 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19469 \begin_layout Plain Layout
19477 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19480 \begin_layout Plain Layout
19481 \begin_inset Formula $\lambda$
19491 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19494 \begin_layout Plain Layout
19502 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19505 \begin_layout Plain Layout
19506 \begin_inset Formula $\mu$
19516 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19519 \begin_layout Plain Layout
19527 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19530 \begin_layout Plain Layout
19531 \begin_inset Formula $\nu$
19541 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19544 \begin_layout Plain Layout
19552 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19555 \begin_layout Plain Layout
19556 \begin_inset Formula $\xi$
19566 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19569 \begin_layout Plain Layout
19575 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19578 \begin_layout Plain Layout
19579 \begin_inset Formula $o$
19589 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19592 \begin_layout Plain Layout
19600 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19603 \begin_layout Plain Layout
19604 \begin_inset Formula $\pi$
19614 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19617 \begin_layout Plain Layout
19625 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19628 \begin_layout Plain Layout
19629 \begin_inset Formula $\varpi$
19639 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
19642 \begin_layout Plain Layout
19650 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
19653 \begin_layout Plain Layout
19654 \begin_inset Formula $\rho$
19668 \begin_inset space \hfill{}
19672 \begin_inset Tabular
19673 <lyxtabular version="3" rows="11" columns="2">
19674 <features booktabs="true" tabularvalignment="middle">
19675 <column alignment="center" valignment="top" width="0pt">
19676 <column alignment="center" valignment="top" width="0pt">
19678 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
19681 \begin_layout Plain Layout
19687 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
19690 \begin_layout Plain Layout
19698 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19701 \begin_layout Plain Layout
19709 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19712 \begin_layout Plain Layout
19713 \begin_inset Formula $\varrho$
19723 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19726 \begin_layout Plain Layout
19734 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19737 \begin_layout Plain Layout
19738 \begin_inset Formula $\sigma$
19748 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19751 \begin_layout Plain Layout
19759 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19762 \begin_layout Plain Layout
19763 \begin_inset Formula $\varsigma$
19773 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19776 \begin_layout Plain Layout
19784 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19787 \begin_layout Plain Layout
19788 \begin_inset Formula $\tau$
19798 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19801 \begin_layout Plain Layout
19809 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19812 \begin_layout Plain Layout
19813 \begin_inset Formula $\upsilon$
19823 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19826 \begin_layout Plain Layout
19834 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19837 \begin_layout Plain Layout
19838 \begin_inset Formula $\phi$
19848 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19851 \begin_layout Plain Layout
19859 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19862 \begin_layout Plain Layout
19863 \begin_inset Formula $\varphi$
19873 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19876 \begin_layout Plain Layout
19884 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19887 \begin_layout Plain Layout
19888 \begin_inset Formula $\chi$
19898 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19901 \begin_layout Plain Layout
19909 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19912 \begin_layout Plain Layout
19913 \begin_inset Formula $\psi$
19923 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
19926 \begin_layout Plain Layout
19934 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
19937 \begin_layout Plain Layout
19938 \begin_inset Formula $\omega$
19952 \begin_inset space \hfill{}
19958 \begin_layout Standard
19959 \begin_inset VSpace medskip
19965 \begin_layout Standard
19966 アップライト体のギリシャ文字を作成する方法は,第
19967 \begin_inset CommandInset ref
19969 reference "subsec:アップライト体ギリシャ小文字"
19976 \begin_layout Subsection
19978 \begin_inset Index idx
19981 \begin_layout Plain Layout
19982 ぎりしゃもじ@ギリシャ文字 ! おおもじ@大文字
19990 \begin_layout Standard
19991 \begin_inset space \hfill{}
19995 \begin_inset Tabular
19996 <lyxtabular version="3" rows="7" columns="2">
19997 <features booktabs="true" tabularvalignment="middle">
19998 <column alignment="center" valignment="top" width="0pt">
19999 <column alignment="center" valignment="top" width="0pt">
20001 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
20004 \begin_layout Plain Layout
20010 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
20013 \begin_layout Plain Layout
20021 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20024 \begin_layout Plain Layout
20032 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20035 \begin_layout Plain Layout
20036 \begin_inset Formula $\Gamma$
20046 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20049 \begin_layout Plain Layout
20057 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20060 \begin_layout Plain Layout
20061 \begin_inset Formula $\Delta$
20071 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20074 \begin_layout Plain Layout
20082 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20085 \begin_layout Plain Layout
20086 \begin_inset Formula $\Theta$
20096 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20099 \begin_layout Plain Layout
20107 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20110 \begin_layout Plain Layout
20111 \begin_inset Formula $\Lambda$
20121 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20124 \begin_layout Plain Layout
20132 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20135 \begin_layout Plain Layout
20136 \begin_inset Formula $\Xi$
20146 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
20149 \begin_layout Plain Layout
20157 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
20160 \begin_layout Plain Layout
20161 \begin_inset Formula $\Pi$
20175 \begin_inset space \hfill{}
20179 \begin_inset Tabular
20180 <lyxtabular version="3" rows="6" columns="2">
20181 <features booktabs="true" tabularvalignment="middle">
20182 <column alignment="center" valignment="top" width="0pt">
20183 <column alignment="center" valignment="top" width="0pt">
20185 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
20188 \begin_layout Plain Layout
20194 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
20197 \begin_layout Plain Layout
20205 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20208 \begin_layout Plain Layout
20216 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20219 \begin_layout Plain Layout
20220 \begin_inset Formula $\Sigma$
20230 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20233 \begin_layout Plain Layout
20241 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20244 \begin_layout Plain Layout
20245 \begin_inset Formula $\Upsilon$
20255 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20258 \begin_layout Plain Layout
20266 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20269 \begin_layout Plain Layout
20270 \begin_inset Formula $\Phi$
20280 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20283 \begin_layout Plain Layout
20291 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20294 \begin_layout Plain Layout
20295 \begin_inset Formula $\Psi$
20305 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
20308 \begin_layout Plain Layout
20316 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
20319 \begin_layout Plain Layout
20320 \begin_inset Formula $\Omega$
20334 \begin_inset space \hfill{}
20340 \begin_layout Standard
20341 \begin_inset VSpace medskip
20344 大文字のギリシャ文字が立体で表示されるのは,\SpecialChar TeX
20345 の開発途上に生じたデザイン上のバグによるものです.正しいイタリック体の大文字を得るためには,各コマンドの頭に
20356 \begin_inset Formula $\varGamma$
20359 を生成します.もう一つの方法は,パッケージ
20367 \begin_layout Plain Layout
20372 は,\SpecialChar LaTeX
20378 \begin_inset Index idx
20381 \begin_layout Plain Layout
20386 \begin_layout Plain Layout
20406 \begin_inset Index idx
20409 \begin_layout Plain Layout
20410 ぱっけーじ@パッケージ ! fixmath
20415 を\SpecialChar LaTeX
20419 \begin_layout Standard
20424 usepackage{fixmath}
20427 \begin_layout Standard
20428 と書いて読み込む方法です.すると,文書中の大きなギリシャ文字は,すべて自動的にイタリック体として組版されます.
20431 \begin_layout Subsection
20433 \begin_inset Index idx
20436 \begin_layout Plain Layout
20437 ぎりしゃもじ@ギリシャ文字 ! ぼーるどたい@ボールド体
20445 \begin_layout Standard
20446 ギリシャ文字は,ラテン文字のようには,多様な書体様式に設定することができません.ギリシャ文字をボールド体にできるのは,
20453 \begin_inset Index idx
20456 \begin_layout Plain Layout
20467 \begin_layout Standard
20469 \begin_inset Tabular
20470 <lyxtabular version="3" rows="3" columns="2">
20471 <features booktabs="true" tabularvalignment="middle">
20472 <column alignment="center" valignment="top" width="0pt">
20473 <column alignment="center" valignment="top">
20475 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
20478 \begin_layout Plain Layout
20484 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
20487 \begin_layout Plain Layout
20495 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20498 \begin_layout Plain Layout
20510 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20513 \begin_layout Plain Layout
20514 \begin_inset Formula $\Upsilon\boldsymbol{\Upsilon}$
20524 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
20527 \begin_layout Plain Layout
20539 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
20542 \begin_layout Plain Layout
20543 \begin_inset Formula $\theta\boldsymbol{\theta}$
20559 \begin_layout Section
20564 \begin_layout Plain Layout
20577 \begin_layout Plain Layout
20578 各\SpecialChar LaTeX
20579 パッケージに含まれる全記号をほとんど網羅した一覧が,
20580 \begin_inset CommandInset citation
20596 \begin_layout Plain Layout
20604 \begin_inset Note Note
20607 \begin_layout Plain Layout
20610 texorpdfstringは,PDFのしおりに脚註が現れるのを防ぐために使われています.
20613 \begin_layout Plain Layout
20616 texorpdfstringについての詳細は,第
20617 \begin_inset CommandInset ref
20619 reference "subsec:節見出し中の数式"
20629 \begin_inset Index idx
20632 \begin_layout Plain Layout
20641 \begin_layout Standard
20642 本節に掲げてある各記号の多くは,ツールバーボタンの
20645 arg "math-insert \\nabla"
20651 arg "math-insert \\digamma"
20657 \begin_layout Subsection
20659 \begin_inset CommandInset label
20666 \begin_inset Index idx
20669 \begin_layout Plain Layout
20678 \begin_layout Standard
20679 \begin_inset Tabular
20680 <lyxtabular version="3" rows="10" columns="2">
20681 <features booktabs="true" tabularvalignment="middle">
20682 <column alignment="center" valignment="top" width="0pt">
20683 <column alignment="center" valignment="top" width="0pt">
20685 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
20688 \begin_layout Plain Layout
20694 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
20697 \begin_layout Plain Layout
20705 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20708 \begin_layout Plain Layout
20716 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20719 \begin_layout Plain Layout
20720 \begin_inset Formula $\neg$
20730 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20733 \begin_layout Plain Layout
20741 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20744 \begin_layout Plain Layout
20745 \begin_inset Formula $\Im$
20755 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20758 \begin_layout Plain Layout
20766 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20769 \begin_layout Plain Layout
20770 \begin_inset Formula $\Re$
20780 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20783 \begin_layout Plain Layout
20791 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20794 \begin_layout Plain Layout
20795 \begin_inset Formula $\aleph$
20805 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20808 \begin_layout Plain Layout
20816 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20819 \begin_layout Plain Layout
20820 \begin_inset Formula $\partial$
20830 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20833 \begin_layout Plain Layout
20841 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20844 \begin_layout Plain Layout
20845 \begin_inset Formula $\infty$
20855 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20858 \begin_layout Plain Layout
20866 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20869 \begin_layout Plain Layout
20870 \begin_inset Formula $\wp$
20880 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20883 \begin_layout Plain Layout
20891 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20894 \begin_layout Plain Layout
20895 \begin_inset Formula $\imath$
20905 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
20908 \begin_layout Plain Layout
20916 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
20919 \begin_layout Plain Layout
20920 \begin_inset Formula $\jmath$
20934 \begin_inset space \hfill{}
20938 \begin_inset Tabular
20939 <lyxtabular version="3" rows="10" columns="2">
20940 <features booktabs="true" tabularvalignment="middle">
20941 <column alignment="center" valignment="top" width="0pt">
20942 <column alignment="center" valignment="top" width="0pt">
20944 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
20947 \begin_layout Plain Layout
20953 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
20956 \begin_layout Plain Layout
20958 \begin_inset Note Note
20961 \begin_layout Plain Layout
20968 はスペーサーとして使用しているだけです.
20980 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20983 \begin_layout Plain Layout
20991 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20994 \begin_layout Plain Layout
20995 \begin_inset Formula $\forall$
21005 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21008 \begin_layout Plain Layout
21016 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21019 \begin_layout Plain Layout
21020 \begin_inset Formula $\exists$
21030 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21033 \begin_layout Plain Layout
21041 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21044 \begin_layout Plain Layout
21045 \begin_inset Formula $\nexists$
21055 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21058 \begin_layout Plain Layout
21066 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21069 \begin_layout Plain Layout
21070 \begin_inset Formula $\emptyset$
21080 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21083 \begin_layout Plain Layout
21091 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21094 \begin_layout Plain Layout
21095 \begin_inset Formula $\varnothing$
21105 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21108 \begin_layout Plain Layout
21116 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21119 \begin_layout Plain Layout
21120 \begin_inset Formula $\dag$
21130 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21133 \begin_layout Plain Layout
21141 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21144 \begin_layout Plain Layout
21145 \begin_inset Formula $\ddag$
21155 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21158 \begin_layout Plain Layout
21166 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21169 \begin_layout Plain Layout
21173 \begin_layout Plain Layout
21183 \begin_inset Formula $\complement$
21190 \begin_layout Plain Layout
21204 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
21207 \begin_layout Plain Layout
21215 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
21218 \begin_layout Plain Layout
21219 \begin_inset Formula $\Bbbk$
21233 \begin_inset space \hfill{}
21237 \begin_inset Tabular
21238 <lyxtabular version="3" rows="10" columns="2">
21239 <features booktabs="true" tabularvalignment="middle">
21240 <column alignment="center" valignment="top" width="0pt">
21241 <column alignment="center" valignment="top" width="0pt">
21243 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
21246 \begin_layout Plain Layout
21252 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
21255 \begin_layout Plain Layout
21263 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21266 \begin_layout Plain Layout
21274 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21277 \begin_layout Plain Layout
21278 \begin_inset Formula $\prime$
21288 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21291 \begin_layout Plain Layout
21299 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21302 \begin_layout Plain Layout
21303 \begin_inset Formula $\backprime$
21313 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21316 \begin_layout Plain Layout
21324 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21327 \begin_layout Plain Layout
21328 \begin_inset Formula $\mho$
21338 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21341 \begin_layout Plain Layout
21349 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21352 \begin_layout Plain Layout
21353 \begin_inset Formula $\triangle$
21363 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21366 \begin_layout Plain Layout
21374 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21377 \begin_layout Plain Layout
21378 \begin_inset Formula $\angle$
21388 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21391 \begin_layout Plain Layout
21399 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21402 \begin_layout Plain Layout
21403 \begin_inset Formula $\measuredangle$
21413 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21416 \begin_layout Plain Layout
21424 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21427 \begin_layout Plain Layout
21428 \begin_inset Formula $\sphericalangle$
21438 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21441 \begin_layout Plain Layout
21449 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21452 \begin_layout Plain Layout
21453 \begin_inset Formula $\top$
21463 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
21466 \begin_layout Plain Layout
21474 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
21477 \begin_layout Plain Layout
21478 \begin_inset Formula $\bot$
21494 \begin_layout Subsection
21496 \begin_inset CommandInset label
21498 name "subsec:その他の記号"
21503 \begin_inset Index idx
21506 \begin_layout Plain Layout
21515 \begin_layout Standard
21518 \begin_inset Tabular
21519 <lyxtabular version="3" rows="10" columns="2">
21520 <features booktabs="true" tabularvalignment="middle">
21521 <column alignment="center" valignment="top" width="0pt">
21522 <column alignment="center" valignment="top" width="0pt">
21524 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
21527 \begin_layout Plain Layout
21533 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
21536 \begin_layout Plain Layout
21544 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21547 \begin_layout Plain Layout
21555 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21558 \begin_layout Plain Layout
21559 \begin_inset Formula $\flat$
21569 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21572 \begin_layout Plain Layout
21580 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21583 \begin_layout Plain Layout
21584 \begin_inset Formula $\natural$
21594 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21597 \begin_layout Plain Layout
21605 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21608 \begin_layout Plain Layout
21609 \begin_inset Formula $\sharp$
21619 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21622 \begin_layout Plain Layout
21630 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21633 \begin_layout Plain Layout
21634 \begin_inset Formula $\surd$
21644 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21647 \begin_layout Plain Layout
21655 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21658 \begin_layout Plain Layout
21659 \begin_inset Formula $\checkmark$
21669 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21672 \begin_layout Plain Layout
21680 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21683 \begin_layout Plain Layout
21684 \begin_inset Formula $\yen$
21694 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21697 \begin_layout Plain Layout
21705 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21708 \begin_layout Plain Layout
21709 \begin_inset Formula $\pounds$
21719 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21722 \begin_layout Plain Layout
21728 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21731 \begin_layout Plain Layout
21732 \begin_inset Formula $\$$
21742 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
21745 \begin_layout Plain Layout
21751 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
21754 \begin_layout Plain Layout
21755 \begin_inset Formula $§$
21769 \begin_inset space \hfill{}
21773 \begin_inset Tabular
21774 <lyxtabular version="3" rows="10" columns="2">
21775 <features booktabs="true" tabularvalignment="middle">
21776 <column alignment="center" valignment="top" width="0pt">
21777 <column alignment="center" valignment="top">
21779 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
21782 \begin_layout Plain Layout
21788 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
21791 \begin_layout Plain Layout
21799 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21802 \begin_layout Plain Layout
21810 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21813 \begin_layout Plain Layout
21814 \begin_inset Formula $\hbar$
21824 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21827 \begin_layout Plain Layout
21835 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21838 \begin_layout Plain Layout
21839 \begin_inset Formula $\hslash$
21849 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21852 \begin_layout Plain Layout
21860 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21863 \begin_layout Plain Layout
21864 \begin_inset Formula $\clubsuit$
21874 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21877 \begin_layout Plain Layout
21885 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21888 \begin_layout Plain Layout
21889 \begin_inset Formula $\spadesuit$
21899 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21902 \begin_layout Plain Layout
21910 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21913 \begin_layout Plain Layout
21914 \begin_inset Formula $\bigstar$
21924 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21927 \begin_layout Plain Layout
21935 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21938 \begin_layout Plain Layout
21939 \begin_inset Formula $\blacklozenge$
21949 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21952 \begin_layout Plain Layout
21960 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21963 \begin_layout Plain Layout
21964 \begin_inset Formula $\blacktriangle$
21974 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21977 \begin_layout Plain Layout
21985 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21988 \begin_layout Plain Layout
21989 \begin_inset Formula $\blacktriangledown$
21999 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22002 \begin_layout Plain Layout
22010 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
22013 \begin_layout Plain Layout
22014 \begin_inset Formula $\bullet$
22028 \begin_inset space \hfill{}
22032 \begin_inset Tabular
22033 <lyxtabular version="3" rows="10" columns="2">
22034 <features booktabs="true" tabularvalignment="middle">
22035 <column alignment="center" valignment="top" width="0pt">
22036 <column alignment="center" valignment="top" width="0pt">
22038 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
22041 \begin_layout Plain Layout
22047 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
22050 \begin_layout Plain Layout
22058 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22061 \begin_layout Plain Layout
22069 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22072 \begin_layout Plain Layout
22073 \begin_inset Formula $\diamondsuit$
22083 <cell alignment="center" valignment="top" rightline="true" usebox="none">
22086 \begin_layout Plain Layout
22094 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22097 \begin_layout Plain Layout
22098 \begin_inset Formula $\Diamond$
22108 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22111 \begin_layout Plain Layout
22119 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22122 \begin_layout Plain Layout
22123 \begin_inset Formula $\heartsuit$
22133 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22136 \begin_layout Plain Layout
22144 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22147 \begin_layout Plain Layout
22148 \begin_inset Formula $\P$
22158 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22161 \begin_layout Plain Layout
22169 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22172 \begin_layout Plain Layout
22173 \begin_inset Formula $\copyright$
22183 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22186 \begin_layout Plain Layout
22194 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22197 \begin_layout Plain Layout
22198 \begin_inset Formula $\circledR$
22208 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22211 \begin_layout Plain Layout
22219 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22222 \begin_layout Plain Layout
22223 \begin_inset Formula $\maltese$
22233 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22236 \begin_layout Plain Layout
22244 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22247 \begin_layout Plain Layout
22248 \begin_inset Formula $\diagup$
22258 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22261 \begin_layout Plain Layout
22269 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
22272 \begin_layout Plain Layout
22273 \begin_inset Formula $\diagdown$
22289 \begin_layout Standard
22290 \begin_inset VSpace medskip
22296 \begin_layout Standard
22297 寸法を変えて表示することのできる記号もあります.第
22298 \begin_inset CommandInset ref
22300 reference "subsec:書体寸法"
22307 \begin_layout Subsection
22309 \begin_inset Index idx
22312 \begin_layout Plain Layout
22313 きごう@記号 ! ゆーろつうかきごう@ユーロ通貨記号
22319 \begin_inset Index idx
22322 \begin_layout Plain Layout
22327 \begin_layout Plain Layout
22344 \begin_layout Standard
22345 ユーロ通貨記号を数式で使用するには,\SpecialChar LaTeX
22351 \begin_inset Index idx
22354 \begin_layout Plain Layout
22355 ぱっけーじ@パッケージ ! eurosym
22360 が導入されていて,以下のような\SpecialChar LaTeX
22361 プリアンブル行によって読み込まれていなくてはなりません.
22364 \begin_layout Standard
22369 usepackage[gennarrow]{eurosym}
22372 \begin_layout Standard
22380 \begin_inset Index idx
22383 \begin_layout Plain Layout
22391 コマンドで挿入することができるようになります.
22394 \begin_layout Standard
22399 が導入されていなくても,ユーロ通貨記号を直接キーボードを使って(あれば)挿入することができます.
22410 モードでも挿入することができます.また,正式な通貨記号を
22417 \begin_inset Index idx
22420 \begin_layout Plain Layout
22428 コマンド(これは\SpecialChar TeX
22429 モードでのみ使用することができます)で挿入することができます.
22432 \begin_layout Standard
22436 \begin_layout Plain Layout
22446 \begin_inset Note Note
22449 \begin_layout Plain Layout
22450 以下の表は,\SpecialChar LaTeX
22463 \begin_layout Standard
22464 以下は,各ユーロ通貨記号のまとめです.
22467 \begin_layout Standard
22469 \begin_inset Tabular
22470 <lyxtabular version="3" rows="4" columns="3">
22471 <features booktabs="true" tabularvalignment="middle">
22472 <column alignment="center" valignment="top" width="0pt">
22473 <column alignment="center" valignment="top" width="0pt">
22474 <column alignment="center" valignment="top" width="0pt">
22476 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
22479 \begin_layout Plain Layout
22483 \begin_layout Plain Layout
22487 cmidrule[0.08em]{2-3}
22497 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22500 \begin_layout Plain Layout
22506 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
22509 \begin_layout Plain Layout
22517 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22520 \begin_layout Plain Layout
22526 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22529 \begin_layout Plain Layout
22537 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22540 \begin_layout Plain Layout
22541 \begin_inset Formula $\euro$
22551 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22554 \begin_layout Plain Layout
22560 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22563 \begin_layout Plain Layout
22569 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22572 \begin_layout Plain Layout
22580 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22583 \begin_layout Plain Layout
22590 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22593 \begin_layout Plain Layout
22601 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
22604 \begin_layout Plain Layout
22608 \begin_layout Plain Layout
22628 \begin_inset Note Note
22631 \begin_layout Plain Layout
22638 は表罫線のためだけに用いられています.詳細については,取扱説明書
22654 \begin_layout Standard
22658 \begin_layout Plain Layout
22668 \begin_inset Note Note
22671 \begin_layout Plain Layout
22672 以下は,\SpecialChar LaTeX
22677 が導入されていないときのみ表示されます.
22685 \begin_layout Standard
22686 本節の残りを出力としてみるためには,\SpecialChar LaTeX
22694 \begin_layout Standard
22698 \begin_layout Plain Layout
22710 \begin_layout Section
22712 \begin_inset CommandInset label
22719 \begin_inset Index idx
22722 \begin_layout Plain Layout
22729 \begin_inset Index idx
22732 \begin_layout Plain Layout
22737 \begin_layout Plain Layout
22748 \begin_layout Plain Layout
22763 \begin_layout Standard
22767 arg "math-insert \\leq"
22773 \begin_layout Standard
22774 \begin_inset Tabular
22775 <lyxtabular version="3" rows="17" columns="2">
22776 <features booktabs="true" tabularvalignment="middle">
22777 <column alignment="center" valignment="top" width="0pt">
22778 <column alignment="center" valignment="top" width="0pt">
22780 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
22783 \begin_layout Plain Layout
22789 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
22792 \begin_layout Plain Layout
22800 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22803 \begin_layout Plain Layout
22809 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22812 \begin_layout Plain Layout
22813 \begin_inset Formula $<$
22823 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22826 \begin_layout Plain Layout
22834 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22837 \begin_layout Plain Layout
22838 \begin_inset Formula $\le$
22848 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22851 \begin_layout Plain Layout
22859 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22862 \begin_layout Plain Layout
22863 \begin_inset Formula $\ll$
22873 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22876 \begin_layout Plain Layout
22884 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22887 \begin_layout Plain Layout
22888 \begin_inset Formula $\prec$
22898 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22901 \begin_layout Plain Layout
22909 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22912 \begin_layout Plain Layout
22913 \begin_inset Formula $\preceq$
22923 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22926 \begin_layout Plain Layout
22934 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22937 \begin_layout Plain Layout
22938 \begin_inset Formula $\subset$
22948 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22951 \begin_layout Plain Layout
22959 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22962 \begin_layout Plain Layout
22963 \begin_inset Formula $\subseteq$
22973 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22976 \begin_layout Plain Layout
22984 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22987 \begin_layout Plain Layout
22988 \begin_inset Formula $\sqsubseteq$
22998 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23001 \begin_layout Plain Layout
23009 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23012 \begin_layout Plain Layout
23013 \begin_inset Formula $\in$
23023 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23026 \begin_layout Plain Layout
23034 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23037 \begin_layout Plain Layout
23038 \begin_inset Formula $\vdash$
23048 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23051 \begin_layout Plain Layout
23059 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23062 \begin_layout Plain Layout
23063 \begin_inset Formula $\smile$
23073 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23076 \begin_layout Plain Layout
23084 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23087 \begin_layout Plain Layout
23088 \begin_inset Formula $\lhd$
23098 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23101 \begin_layout Plain Layout
23109 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23112 \begin_layout Plain Layout
23113 \begin_inset Formula $\unlhd$
23123 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23126 \begin_layout Plain Layout
23134 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23137 \begin_layout Plain Layout
23138 \begin_inset Formula $\gtrless$
23148 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23151 \begin_layout Plain Layout
23159 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23162 \begin_layout Plain Layout
23163 \begin_inset Formula $\mid$
23173 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
23176 \begin_layout Plain Layout
23184 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
23187 \begin_layout Plain Layout
23188 \begin_inset Formula $\nmid$
23202 \begin_inset space \hfill{}
23206 \begin_inset Tabular
23207 <lyxtabular version="3" rows="17" columns="2">
23208 <features booktabs="true" tabularvalignment="middle">
23209 <column alignment="center" valignment="top" width="0pt">
23210 <column alignment="center" valignment="top" width="0pt">
23212 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
23215 \begin_layout Plain Layout
23221 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
23224 \begin_layout Plain Layout
23232 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23235 \begin_layout Plain Layout
23241 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23244 \begin_layout Plain Layout
23245 \begin_inset Formula $=$
23255 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23258 \begin_layout Plain Layout
23266 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23269 \begin_layout Plain Layout
23270 \begin_inset Formula $\not=$
23280 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23283 \begin_layout Plain Layout
23291 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23294 \begin_layout Plain Layout
23295 \begin_inset Formula $\equiv$
23305 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23308 \begin_layout Plain Layout
23316 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23319 \begin_layout Plain Layout
23320 \begin_inset Formula $\sim$
23330 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23333 \begin_layout Plain Layout
23341 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23344 \begin_layout Plain Layout
23345 \begin_inset Formula $\simeq$
23355 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23358 \begin_layout Plain Layout
23366 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23369 \begin_layout Plain Layout
23370 \begin_inset Formula $\approx$
23380 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23383 \begin_layout Plain Layout
23391 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23394 \begin_layout Plain Layout
23395 \begin_inset Formula $\cong$
23405 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23408 \begin_layout Plain Layout
23416 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23419 \begin_layout Plain Layout
23420 \begin_inset Formula $\bowtie$
23430 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23433 \begin_layout Plain Layout
23441 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23444 \begin_layout Plain Layout
23445 \begin_inset Formula $\notin$
23455 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23458 \begin_layout Plain Layout
23466 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23469 \begin_layout Plain Layout
23470 \begin_inset Formula $\perp$
23480 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23483 \begin_layout Plain Layout
23491 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23494 \begin_layout Plain Layout
23495 \begin_inset Formula $\propto$
23505 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23508 \begin_layout Plain Layout
23516 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23519 \begin_layout Plain Layout
23520 \begin_inset Formula $\asymp$
23530 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23533 \begin_layout Plain Layout
23541 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23544 \begin_layout Plain Layout
23545 \begin_inset Formula $\doteq$
23555 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23558 \begin_layout Plain Layout
23566 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23569 \begin_layout Plain Layout
23570 \begin_inset Formula $\circeq$
23580 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23583 \begin_layout Plain Layout
23591 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23594 \begin_layout Plain Layout
23595 \begin_inset Formula $\models$
23605 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
23608 \begin_layout Plain Layout
23616 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
23619 \begin_layout Plain Layout
23620 \begin_inset Formula $\widehat{=}$
23634 \begin_inset space \hfill{}
23638 \begin_inset Tabular
23639 <lyxtabular version="3" rows="17" columns="2">
23640 <features booktabs="true" tabularvalignment="middle">
23641 <column alignment="center" valignment="top" width="0pt">
23642 <column alignment="center" valignment="top" width="0pt">
23644 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
23647 \begin_layout Plain Layout
23653 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
23656 \begin_layout Plain Layout
23664 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23667 \begin_layout Plain Layout
23673 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23676 \begin_layout Plain Layout
23677 \begin_inset Formula $>$
23687 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23690 \begin_layout Plain Layout
23698 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23701 \begin_layout Plain Layout
23702 \begin_inset Formula $\ge$
23712 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23715 \begin_layout Plain Layout
23723 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23726 \begin_layout Plain Layout
23727 \begin_inset Formula $\gg$
23737 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23740 \begin_layout Plain Layout
23748 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23751 \begin_layout Plain Layout
23752 \begin_inset Formula $\succ$
23762 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23765 \begin_layout Plain Layout
23773 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23776 \begin_layout Plain Layout
23777 \begin_inset Formula $\succeq$
23787 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23790 \begin_layout Plain Layout
23798 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23801 \begin_layout Plain Layout
23802 \begin_inset Formula $\supset$
23812 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23815 \begin_layout Plain Layout
23823 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23826 \begin_layout Plain Layout
23827 \begin_inset Formula $\supseteq$
23837 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23840 \begin_layout Plain Layout
23848 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23851 \begin_layout Plain Layout
23852 \begin_inset Formula $\sqsupseteq$
23862 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23865 \begin_layout Plain Layout
23873 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23876 \begin_layout Plain Layout
23877 \begin_inset Formula $\ni$
23887 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23890 \begin_layout Plain Layout
23898 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23901 \begin_layout Plain Layout
23902 \begin_inset Formula $\dashv$
23912 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23915 \begin_layout Plain Layout
23923 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23926 \begin_layout Plain Layout
23927 \begin_inset Formula $\frown$
23937 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23940 \begin_layout Plain Layout
23948 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23951 \begin_layout Plain Layout
23952 \begin_inset Formula $\rhd$
23962 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23965 \begin_layout Plain Layout
23973 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23976 \begin_layout Plain Layout
23977 \begin_inset Formula $\unrhd$
23987 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23990 \begin_layout Plain Layout
23998 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24001 \begin_layout Plain Layout
24002 \begin_inset Formula $\lessgtr$
24012 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24015 \begin_layout Plain Layout
24023 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24026 \begin_layout Plain Layout
24027 \begin_inset Formula $\parallel$
24037 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
24040 \begin_layout Plain Layout
24048 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
24051 \begin_layout Plain Layout
24052 \begin_inset Formula $\nparallel$
24068 \begin_layout Standard
24069 \begin_inset VSpace medskip
24099 \begin_layout Standard
24101 は,特殊な関係子を多くサポートしています.これらの関係子一覧を見るには,ツールバーボタン
24104 arg "math-insert \\leqq"
24110 \begin_layout Standard
24111 関係子は,記号とは違って,つねに前後に余白が置かれます.
24114 \begin_layout Standard
24122 \begin_inset Index idx
24125 \begin_layout Plain Layout
24133 コマンドを使うと,以下のように,ラベル付きの関係子を作ることができます.
24136 \begin_layout Standard
24138 \begin_inset Tabular
24139 <lyxtabular version="3" rows="2" columns="2">
24140 <features booktabs="true" tabularvalignment="middle">
24141 <column alignment="center" valignment="top" width="0pt">
24142 <column alignment="center" valignment="top">
24144 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24147 \begin_layout Plain Layout
24153 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
24156 \begin_layout Plain Layout
24163 <row topspace="1.5mm">
24164 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
24167 \begin_layout Plain Layout
24171 \begin_inset space \textvisiblespace{}
24179 \begin_inset space \textvisiblespace{}
24183 \begin_inset Formula $\downarrow$
24189 \begin_inset space \textvisiblespace{}
24193 \begin_inset space \textvisiblespace{}
24201 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
24204 \begin_layout Plain Layout
24205 \begin_inset Formula $A(r)\stackrel{r\to\infty}{\approx}B$
24221 \begin_layout Section
24225 \begin_layout Subsection
24227 \begin_inset CommandInset label
24229 name "subsec:定義済み函数"
24234 \begin_inset Index idx
24237 \begin_layout Plain Layout
24238 かんすう@関数 ! ていぎずみ@定義済み
24246 \begin_layout Standard
24251 に設定されますが,関数名はイタリック体にしません.なぜなら,
24252 \begin_inset Formula $sin$
24256 \begin_inset Formula $s\cdot i\cdot n$
24259 であるかのように誤解させる恐れがあるためです.そのために,定義済み関数が存在し,これらは先行する要素よりも少し離れて配置されます.定義済み関数は,関数名の前にバ
24260 ックスラッシュを加えたコマンドとして挿入します.
24263 \begin_layout Standard
24265 \begin_inset Tabular
24266 <lyxtabular version="3" rows="2" columns="2">
24267 <features booktabs="true" tabularvalignment="middle">
24268 <column alignment="center" valignment="top" width="0pt">
24269 <column alignment="center" valignment="top" width="0pt">
24271 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
24274 \begin_layout Plain Layout
24280 <cell alignment="center" valignment="top" topline="true" bottomline="true" rightline="true" usebox="none">
24283 \begin_layout Plain Layout
24291 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
24294 \begin_layout Plain Layout
24300 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
24303 \begin_layout Plain Layout
24304 \begin_inset Formula $Asin(x)+B$
24318 \begin_inset space \quad{}
24322 \begin_inset Tabular
24323 <lyxtabular version="3" rows="2" columns="2">
24324 <features booktabs="true" tabularvalignment="middle">
24325 <column alignment="center" valignment="top" width="0pt">
24326 <column alignment="center" valignment="top" width="0pt">
24328 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
24331 \begin_layout Plain Layout
24337 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
24340 \begin_layout Plain Layout
24348 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
24351 \begin_layout Plain Layout
24359 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
24362 \begin_layout Plain Layout
24363 \begin_inset Formula $A\sin(x)+B$
24379 \begin_layout Standard
24383 \begin_layout Standard
24384 \begin_inset VSpace -2mm
24390 \begin_layout Standard
24392 \begin_inset Tabular
24393 <lyxtabular version="3" rows="9" columns="4">
24394 <features booktabs="true" tabularvalignment="middle">
24395 <column alignment="center" valignment="top" width="0pt">
24396 <column alignment="center" valignment="top" width="0pt">
24397 <column alignment="center" valignment="top" width="0pt">
24398 <column alignment="center" valignment="top" width="0pt">
24400 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24403 \begin_layout Plain Layout
24409 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24412 \begin_layout Plain Layout
24418 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24421 \begin_layout Plain Layout
24427 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
24430 \begin_layout Plain Layout
24438 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24441 \begin_layout Plain Layout
24449 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24452 \begin_layout Plain Layout
24460 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24463 \begin_layout Plain Layout
24471 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24474 \begin_layout Plain Layout
24484 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24487 \begin_layout Plain Layout
24495 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24498 \begin_layout Plain Layout
24506 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24509 \begin_layout Plain Layout
24517 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24520 \begin_layout Plain Layout
24530 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24533 \begin_layout Plain Layout
24541 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24544 \begin_layout Plain Layout
24552 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24555 \begin_layout Plain Layout
24563 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24566 \begin_layout Plain Layout
24576 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24579 \begin_layout Plain Layout
24587 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24590 \begin_layout Plain Layout
24598 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24601 \begin_layout Plain Layout
24609 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24612 \begin_layout Plain Layout
24622 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24625 \begin_layout Plain Layout
24633 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24636 \begin_layout Plain Layout
24644 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24647 \begin_layout Plain Layout
24655 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24658 \begin_layout Plain Layout
24668 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24671 \begin_layout Plain Layout
24679 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24682 \begin_layout Plain Layout
24690 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24693 \begin_layout Plain Layout
24701 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24704 \begin_layout Plain Layout
24714 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24717 \begin_layout Plain Layout
24725 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24728 \begin_layout Plain Layout
24736 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24739 \begin_layout Plain Layout
24747 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24750 \begin_layout Plain Layout
24760 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
24763 \begin_layout Plain Layout
24771 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
24774 \begin_layout Plain Layout
24782 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
24785 \begin_layout Plain Layout
24793 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
24796 \begin_layout Plain Layout
24812 \begin_layout Standard
24816 arg "math-insert \\functions"
24822 \begin_layout Subsection
24824 \begin_inset Index idx
24827 \begin_layout Plain Layout
24828 かんすう@関数 ! じこていぎ@自己定義
24836 \begin_layout Standard
24837 たとえば符号関数sgn(x)のように,定義済みでない関数を使うには,二つの方法があります.
24840 \begin_layout Itemize
24841 以下の行を\SpecialChar LaTeX
24842 プリアンブルに加えることによって関数を定義します.
24846 \begin_layout Plain Layout
24851 DeclareMathOperator
24854 \begin_inset CommandInset ref
24856 reference "subsec:自己定義演算子"
24866 \begin_inset Newline newline
24870 \begin_inset VSpace -3mm
24874 \begin_inset Newline newline
24881 DeclareMathOperator{
24886 \begin_inset Index idx
24889 \begin_layout Plain Layout
24894 DeclareMathOperator
24900 \begin_inset Newline newline
24904 \begin_inset VSpace -2mm
24908 \begin_inset Newline newline
24917 コマンドで呼び出すことができるようになります.
24920 \begin_layout Itemize
24921 数式を普通に書き下し,関数名を選択して(上記の例では
24925 の文字),それを数式テキストに変更します.最後に,空白を先行する要素と関数の間に入れます.
24928 \begin_layout Standard
24929 双方とも定義済み関数と同等の出力をもたらします
24933 \begin_layout Plain Layout
24935 上では,自己定義関数は赤で表示され,定義済み関数は黒で表示されます.
24943 \begin_layout Standard
24945 \begin_inset Tabular
24946 <lyxtabular version="3" rows="3" columns="2">
24947 <features booktabs="true" tabularvalignment="middle">
24948 <column alignment="center" valignment="top" width="0pt">
24949 <column alignment="center" valignment="top" width="0pt">
24951 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24954 \begin_layout Plain Layout
24960 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
24963 \begin_layout Plain Layout
24971 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24974 \begin_layout Plain Layout
24982 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24985 \begin_layout Plain Layout
24986 \begin_inset Formula $A\sgn(x)+B$
24996 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24999 \begin_layout Plain Layout
25003 \begin_inset Formula $\underbrace{\textrm{sgn}}_{\textrm{Alt+M}\,\textrm{M}}$
25011 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25014 \begin_layout Plain Layout
25015 \begin_inset Formula $A\,\textrm{sgn}(x)+B$
25031 \begin_layout Standard
25032 自己定義関数を何回か使用する場合には,一番目の方法の方が適切です.
25035 \begin_layout Subsection
25037 \begin_inset Index idx
25040 \begin_layout Plain Layout
25049 \begin_layout Standard
25057 \begin_inset Index idx
25060 \begin_layout Plain Layout
25083 \begin_layout Standard
25085 \begin_inset Tabular
25086 <lyxtabular version="3" rows="5" columns="2">
25087 <features booktabs="true" tabularvalignment="middle">
25088 <column alignment="center" valignment="top" width="0pt">
25089 <column alignment="center" valignment="top" width="0pt">
25091 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
25094 \begin_layout Plain Layout
25100 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25103 \begin_layout Plain Layout
25111 <cell alignment="center" valignment="top" leftline="true" usebox="none">
25114 \begin_layout Plain Layout
25122 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25125 \begin_layout Plain Layout
25126 \begin_inset Formula $\varliminf$
25135 <row topspace="1.5mm">
25136 <cell alignment="center" valignment="top" usebox="none">
25139 \begin_layout Plain Layout
25147 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25150 \begin_layout Plain Layout
25151 \begin_inset Formula $\varlimsup$
25160 <row topspace="1.5mm">
25161 <cell alignment="center" valignment="top" usebox="none">
25164 \begin_layout Plain Layout
25172 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25175 \begin_layout Plain Layout
25176 \begin_inset Formula $\varprojlim$
25185 <row topspace="1.5mm" bottomspace="1mm">
25186 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
25189 \begin_layout Plain Layout
25197 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
25200 \begin_layout Plain Layout
25201 \begin_inset Formula $\varinjlim$
25217 \begin_layout Standard
25218 \begin_inset VSpace medskip
25221 極限は,下付き文字を挿入することによって示されます.行内数式では,極限は,以下のように関数の横に置かれます.
25224 \begin_layout Standard
25226 \begin_inset Tabular
25227 <lyxtabular version="3" rows="2" columns="2">
25228 <features booktabs="true" tabularvalignment="middle">
25229 <column alignment="center" valignment="top" width="0pt">
25230 <column alignment="center" valignment="top" width="0pt">
25232 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
25235 \begin_layout Plain Layout
25241 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
25244 \begin_layout Plain Layout
25252 <cell alignment="center" valignment="top" usebox="none">
25255 \begin_layout Plain Layout
25261 \begin_inset space \textvisiblespace{}
25265 \begin_inset space \textvisiblespace{}
25273 <cell alignment="center" valignment="top" usebox="none">
25276 \begin_layout Plain Layout
25277 \begin_inset Formula $\lim_{x\to A}x=B$
25293 \begin_layout Standard
25294 別行立て数式では,極限は,以下のように通常どおり下に置かれます.
25295 \begin_inset Formula
25305 \begin_layout Standard
25306 \begin_inset VSpace medskip
25312 \begin_layout Standard
25313 極限の組版を調整する仕方については,第
25314 \begin_inset CommandInset ref
25316 reference "subsec:演算子の範囲"
25323 \begin_layout Subsection
25325 \begin_inset Index idx
25328 \begin_layout Plain Layout
25335 \begin_inset Index idx
25338 \begin_layout Plain Layout
25339 かんすう@関数 ! もじゅらす@モジュラス
25343 \begin_layout Plain Layout
25354 \begin_layout Plain Layout
25369 \begin_layout Standard
25370 剰余関数は,特別に4つの派生型があります.
25373 \begin_layout Standard
25375 \begin_inset Formula
25377 \underline{\textrm{コマンド}\raisebox{-0.9mm}{}} & & \underline{\textrm{出力}}\\
25378 \mathrm{a\backslash mod\textrm{␣}b} & & a\mod b\\
25379 \mathrm{a\backslash pmod\textrm{␣}b} & & a\pmod b\\
25380 \mathrm{a\backslash bmod\textrm{␣}b} & & a\bmod b\\
25381 \mathrm{a\backslash pod\textrm{␣}b} & & a\pod b
25389 \begin_layout Standard
25390 行内数式では,すべての派生型で,関数名の前の余白がすこし小さく設定されます.既定では,剰余関数は,続く一文字目だけを考慮します.二文字以上を使いたい時には,下記
25391 のように文字を\SpecialChar TeX
25393 \begin_inset Formula
25395 \underline{\textrm{コマンド}\raisebox{-0.9mm}{}} & & \underline{\textrm{出力}}\\
25396 \mathrm{a\backslash pod\textrm{␣}bcd} & & a\pod bcd\\
25397 \mathrm{a\backslash pod\backslash\{bc\backslash\}d} & & a\pod{bc}d
25405 \begin_layout Section
25407 \begin_inset Index idx
25410 \begin_layout Plain Layout
25419 \begin_layout Standard
25420 ^および_の各文字は,通常,上付き文字や下付き文字を生成してしまいます.これらの文字自体を得るには,その前に
25425 \begin_layout Standard
25428 \begin_inset Tabular
25429 <lyxtabular version="3" rows="3" columns="2">
25430 <features booktabs="true" tabularvalignment="middle">
25431 <column alignment="left" valignment="top" width="0pt">
25432 <column alignment="block" valignment="top">
25434 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
25437 \begin_layout Plain Layout
25443 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25446 \begin_layout Plain Layout
25454 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25457 \begin_layout Plain Layout
25461 \begin_inset space \textvisiblespace{}
25469 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25472 \begin_layout Plain Layout
25473 \begin_inset Formula $\mathcircumflex$
25483 <cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
25486 \begin_layout Plain Layout
25494 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
25497 \begin_layout Plain Layout
25498 \begin_inset Formula $\_$
25514 \begin_layout Subsection
25518 \begin_layout Standard
25519 以下の各コマンドは,数式テキストか\SpecialChar TeX
25520 モード中でのみ使用することができます.
25523 \begin_layout Standard
25524 \begin_inset space \hfill{}
25528 \begin_inset Tabular
25529 <lyxtabular version="3" rows="8" columns="2">
25530 <features booktabs="true" tabularvalignment="middle">
25531 <column alignment="left" valignment="top" width="0pt">
25532 <column alignment="block" valignment="top">
25534 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
25537 \begin_layout Plain Layout
25543 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25546 \begin_layout Plain Layout
25554 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25557 \begin_layout Plain Layout
25565 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25568 \begin_layout Plain Layout
25569 \begin_inset Formula $\textrm{œ}$
25579 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25582 \begin_layout Plain Layout
25590 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25593 \begin_layout Plain Layout
25594 \begin_inset Formula $\textrm{Œ}$
25604 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25607 \begin_layout Plain Layout
25615 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25618 \begin_layout Plain Layout
25619 \begin_inset Formula $\textrm{æ}$
25629 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25632 \begin_layout Plain Layout
25640 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25643 \begin_layout Plain Layout
25644 \begin_inset Formula $\textrm{Æ}$
25654 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25657 \begin_layout Plain Layout
25665 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25668 \begin_layout Plain Layout
25669 \begin_inset Formula $\textrm{å}$
25679 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25682 \begin_layout Plain Layout
25690 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25693 \begin_layout Plain Layout
25694 \begin_inset Formula $\textrm{Å}$
25704 <cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
25707 \begin_layout Plain Layout
25715 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
25718 \begin_layout Plain Layout
25719 \begin_inset Formula $\textrm{ı}$
25733 \begin_inset space \hfill{}
25737 \begin_inset Tabular
25738 <lyxtabular version="3" rows="8" columns="2">
25739 <features booktabs="true" tabularvalignment="middle">
25740 <column alignment="left" valignment="top" width="0pt">
25741 <column alignment="center" valignment="top">
25743 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
25746 \begin_layout Plain Layout
25748 \begin_inset Note Note
25751 \begin_layout Plain Layout
25753 \begin_inset space \thinspace{}
25756 mm空白を分離用に使っているのは,そうしないと出力が¡や¿になってしまうためです.
25766 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25769 \begin_layout Plain Layout
25777 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25780 \begin_layout Plain Layout
25788 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25791 \begin_layout Plain Layout
25792 \begin_inset Formula $\textrm{ø}$
25802 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25805 \begin_layout Plain Layout
25813 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25816 \begin_layout Plain Layout
25817 \begin_inset Formula $\textrm{Ø}$
25827 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25830 \begin_layout Plain Layout
25838 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25841 \begin_layout Plain Layout
25842 \begin_inset Formula $\textrm{ł}$
25852 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25855 \begin_layout Plain Layout
25863 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25866 \begin_layout Plain Layout
25867 \begin_inset Formula $\textrm{Ł}$
25877 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25880 \begin_layout Plain Layout
25882 \begin_inset space \hspace{}
25887 \begin_inset space \textvisiblespace{}
25895 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25898 \begin_layout Plain Layout
25899 \begin_inset Formula $\textrm{!`}$
25909 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25912 \begin_layout Plain Layout
25914 \begin_inset space \hspace{}
25919 \begin_inset space \textvisiblespace{}
25927 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25930 \begin_layout Plain Layout
25931 \begin_inset Formula $\textrm{?`}$
25941 <cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
25944 \begin_layout Plain Layout
25952 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
25955 \begin_layout Plain Layout
25956 \begin_inset Formula $\textrm{ȷ}$
25970 \begin_inset space \hfill{}
25976 \begin_layout Standard
25977 \begin_inset Formula $\textrm{\textrm{Å}}$
25981 \begin_inset Formula $\textrm{\textrm{Ø}}$
25987 arg "math-insert \\digamma"
25993 \begin_layout Standard
25997 \begin_inset space \hspace{}
26006 \begin_inset space \hspace{}
26012 の各コマンドで,これらは直接\SpecialChar LyX
26016 \begin_layout Subsection
26018 \begin_inset CommandInset label
26020 name "subsec:文章中のアクセント"
26025 \begin_inset Index idx
26028 \begin_layout Plain Layout
26029 あくせんと@アクセント ! ぶんしょうちゅうの@文章中の
26037 \begin_layout Standard
26038 以下に挙げる各コマンドを使えば,すべての文字にアクセントを付けることができます.これらのコマンドは,\SpecialChar TeX
26042 \begin_layout Standard
26043 \begin_inset space \hfill{}
26047 \begin_inset Tabular
26048 <lyxtabular version="3" rows="8" columns="2">
26049 <features booktabs="true" tabularvalignment="middle">
26050 <column alignment="left" valignment="top" width="0pt">
26051 <column alignment="block" valignment="top">
26053 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
26056 \begin_layout Plain Layout
26062 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
26065 \begin_layout Plain Layout
26073 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26076 \begin_layout Plain Layout
26080 \begin_inset Quotes grd
26088 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26091 \begin_layout Plain Layout
26095 \begin_layout Plain Layout
26111 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26114 \begin_layout Plain Layout
26122 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26125 \begin_layout Plain Layout
26129 \begin_layout Plain Layout
26145 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26148 \begin_layout Plain Layout
26152 \begin_inset space \textvisiblespace{}
26160 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26163 \begin_layout Plain Layout
26167 \begin_layout Plain Layout
26183 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26186 \begin_layout Plain Layout
26194 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26197 \begin_layout Plain Layout
26201 \begin_layout Plain Layout
26217 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26220 \begin_layout Plain Layout
26224 \begin_inset space \textvisiblespace{}
26232 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26235 \begin_layout Plain Layout
26239 \begin_layout Plain Layout
26255 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26258 \begin_layout Plain Layout
26262 \begin_inset space \textvisiblespace{}
26270 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26273 \begin_layout Plain Layout
26277 \begin_layout Plain Layout
26293 <cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
26296 \begin_layout Plain Layout
26300 \begin_inset space \textvisiblespace{}
26308 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
26311 \begin_layout Plain Layout
26315 \begin_layout Plain Layout
26335 \begin_inset space \hfill{}
26339 \begin_inset Tabular
26340 <lyxtabular version="3" rows="8" columns="2">
26341 <features booktabs="true" tabularvalignment="middle">
26342 <column alignment="left" valignment="top" width="0pt">
26343 <column alignment="center" valignment="top">
26345 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
26348 \begin_layout Plain Layout
26354 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
26357 \begin_layout Plain Layout
26365 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26368 \begin_layout Plain Layout
26372 \begin_inset space \textvisiblespace{}
26380 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26383 \begin_layout Plain Layout
26387 \begin_layout Plain Layout
26403 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26406 \begin_layout Plain Layout
26414 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26417 \begin_layout Plain Layout
26421 \begin_layout Plain Layout
26437 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26440 \begin_layout Plain Layout
26444 \begin_inset Index idx
26447 \begin_layout Plain Layout
26458 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26461 \begin_layout Plain Layout
26465 \begin_layout Plain Layout
26481 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26484 \begin_layout Plain Layout
26492 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26495 \begin_layout Plain Layout
26499 \begin_layout Plain Layout
26515 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26518 \begin_layout Plain Layout
26522 \begin_inset space \textvisiblespace{}
26530 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26533 \begin_layout Plain Layout
26537 \begin_layout Plain Layout
26553 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26556 \begin_layout Plain Layout
26560 \begin_inset space \textvisiblespace{}
26568 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26571 \begin_layout Plain Layout
26575 \begin_layout Plain Layout
26591 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26594 \begin_layout Plain Layout
26598 \begin_inset space \textvisiblespace{}
26606 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26609 \begin_layout Plain Layout
26613 \begin_layout Plain Layout
26633 \begin_inset space \hfill{}
26639 \begin_layout Standard
26640 \begin_inset VSpace medskip
26649 コマンドは異なる二つの文字にアクセントを付けることもできます.たとえば,コマンド
26654 \begin_inset space \textvisiblespace{}
26663 \begin_layout Plain Layout
26675 \begin_layout Standard
26688 の各アクセントは,\SpecialChar TeX
26689 モードを使わなくても,母音といっしょに直接キーボードから入力することもできます.チルダ
26693 \begin_layout Plain Layout
26694 これは,チルダがアクセントとして定義されているキーボードのみに適用されます.
26718 \begin_layout Standard
26761 の各コマンドと,キーボードから直接挿入するアクセントは,数式テキスト中でも使うことができます.他のアクセントについては,数式内向けの特別な数式コマンドがあります
26763 \begin_inset CommandInset ref
26765 reference "subsec:一文字に付けるアクセント"
26772 \begin_layout Standard
26773 \begin_inset VSpace bigskip
26783 \begin_inset Index idx
26786 \begin_layout Plain Layout
26794 コマンドを使えば,著作権マークのように,あらゆる数字や文字を丸で囲む—敢えて言えば,丸囲みでアクセントを付けるようなものといえるでしょう—ことができます.
26797 \begin_layout Standard
26799 \begin_inset Tabular
26800 <lyxtabular version="3" rows="3" columns="2">
26801 <features booktabs="true" tabularvalignment="middle">
26802 <column alignment="center" valignment="top" width="0pt">
26803 <column alignment="center" valignment="top">
26805 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
26808 \begin_layout Plain Layout
26814 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
26817 \begin_layout Plain Layout
26825 <cell alignment="center" valignment="top" leftline="true" usebox="none">
26828 \begin_layout Plain Layout
26836 <cell multicolumn="1" alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26839 \begin_layout Plain Layout
26843 \begin_layout Plain Layout
26858 <row topspace="1mm">
26859 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
26862 \begin_layout Plain Layout
26873 raisebox{-1.5pt}{W}}
26878 <cell multicolumn="1" alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
26881 \begin_layout Plain Layout
26885 \begin_layout Plain Layout
26915 \begin_layout Standard
26916 ここではユーザーが,文字が丸のなかに収まるように調整してやらなくてはなりません.ここでは,
26926 \begin_layout Plain Layout
26928 \begin_inset CommandInset ref
26930 reference "subsec:書体寸法"
26949 \begin_layout Plain Layout
26951 \begin_inset CommandInset ref
26953 reference "subsec:枠なしボックス"
26962 を使って,文字が真ん中にくるようにしています.
26965 \begin_layout Subsection
26967 \begin_inset Index idx
26970 \begin_layout Plain Layout
26979 \begin_layout Standard
26987 \begin_inset Index idx
26990 \begin_layout Plain Layout
26998 コマンドで作成することができます.このコマンドは,数式中でも\SpecialChar TeX
26999 モード中でも使うことができます.コマンド書式は,
27002 \begin_layout Standard
27010 \begin_layout Standard
27015 oldstylenums{0123456789}
27018 \begin_inset Formula $\oldstylenums{0123456789}$
27024 \begin_layout Section
27026 \begin_inset CommandInset label
27033 \begin_inset Index idx
27036 \begin_layout Plain Layout
27045 \begin_layout Itemize
27050 \begin_layout Description
27054 \begin_layout Description
27057 文書\SpecialChar menuseparator
27067 \begin_layout Standard
27072 を指定すると下げ幅を指定することができます.既定値は使用している文書苦楽に依存して変わります.
27076 \begin_layout Itemize
27079 文書\SpecialChar menuseparator
27090 \begin_layout Description
27094 \begin_layout Description
27099 \begin_layout Standard
27100 これで選択した様式は,文書中のすべての別行立て数式に用いられます.もし,中央揃えと行頭下げの両様式を同一文書中で用いたい場合には,
27104 様式を指定するようにします.そして,行頭下げにしたい数式は,flalign環境に指定するようにします.第
27105 \begin_inset CommandInset ref
27107 reference "subsec:flalign環境"
27114 \begin_layout Section
27116 \begin_inset CommandInset label
27123 \begin_inset Index idx
27126 \begin_layout Plain Layout
27128 \begin_inset space \thinspace{}
27139 \begin_layout Subsection
27143 \begin_layout Standard
27148 arg "newline-insert newline"
27151 を押すことで作られます.この操作によって,第
27152 \begin_inset CommandInset ref
27154 reference "subsec:eqnarray環境"
27166 オプションが選択されている場合には,第
27167 \begin_inset CommandInset ref
27169 reference "subsec:標準align環境"
27180 \begin_layout Standard
27183 挿入\SpecialChar menuseparator
27186 メニューで作ることのできる多行数式環境があります.これらの環境は,以下の各節で説明します.
27189 \begin_layout Standard
27193 arg "newline-insert newline"
27196 を押すことによって作られます.行を足したり削ったりするには,数式ツールバーボタンの
27199 arg "tabular-feature append-row"
27205 arg "tabular-feature delete-row"
27210 編集\SpecialChar menuseparator
27216 \begin_layout Subsubsection
27218 \begin_inset CommandInset label
27225 \begin_inset Index idx
27228 \begin_layout Plain Layout
27230 \begin_inset space \thinspace{}
27241 \begin_layout Standard
27242 以下のように,多行数式において行のあいだの空白が足りないことが,ときどき起こります.
27243 \begin_inset Formula
27245 B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD & = & \textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}\\
27246 4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right) & = & 0
27254 \begin_layout Standard
27256 において行間を付け加えるには,新規行コマンドに非必須の引数をとらせて指定しますが,これはまだ\SpecialChar LyX
27261 \begin_layout Plain Layout
27262 \begin_inset CommandInset href
27264 name "LyX-bug #1505"
27265 target "https://www.lyx.org/trac/ticket/1505"
27275 ので,数式全体を\SpecialChar TeX
27276 モードで入れなくてはなりません.上記の例の行間を大きくするには,最初の行の最後に
27284 というコマンドを入れます.すると,次のようになります.
27288 \begin_layout Plain Layout
27295 \begin_layout Plain Layout
27297 B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD &
27300 textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}
27307 \begin_layout Plain Layout
27311 left(B^{2}+x_{0}^{2}
27319 left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}
27324 \begin_layout Plain Layout
27336 \begin_layout Standard
27337 \begin_inset VSpace bigskip
27340 同一数式内のすべての行の行間を一律に指定するには,
27347 \begin_inset Index idx
27350 \begin_layout Plain Layout
27359 \begin_inset Formula $\mbox{行間}=\mathrm{6\,pt+\backslash jot}$
27369 \begin_inset space \thinspace{}
27373 \begin_inset space \thinspace{}
27379 \begin_layout Standard
27389 \begin_layout Standard
27390 というコマンドを,数式直前に\SpecialChar TeX
27391 モードで入れておきます.これを行うには,\SpecialChar LaTeX
27395 \begin_layout Standard
27403 \begin_layout Standard
27404 という行を入れて,\SpecialChar LaTeX
27413 \begin_layout Plain Layout
27418 は標準的な\SpecialChar LaTeX
27425 \begin_inset Index idx
27428 \begin_layout Plain Layout
27434 を読み込んでおく必要があります.すると,
27438 \begin_layout Plain Layout
27450 \begin_inset Formula
27452 B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD & = & \textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}\\
27453 4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right) & = & 0
27461 \begin_layout Standard
27465 \begin_layout Plain Layout
27476 のような結果を得ます.行間を既定値に戻すには,
27483 \begin_inset space \thinspace{}
27489 \begin_layout Subsubsection
27491 \begin_inset CommandInset label
27498 \begin_inset Index idx
27501 \begin_layout Plain Layout
27503 \begin_inset space \thinspace{}
27514 \begin_layout Standard
27515 多行数式は,行列を形成します.たとえば,eqnarray環境の数式は,3列からなる行列です.この環境で列間を変更すれば,関係子周辺の余白を変更することができます
27519 \begin_layout Standard
27527 \begin_inset Index idx
27530 \begin_layout Plain Layout
27539 \begin_inset Newline newline
27543 \begin_inset space \thinspace{}
27553 \begin_inset Newline newline
27559 \begin_layout Standard
27569 \begin_layout Standard
27570 というコマンドを\SpecialChar TeX
27571 モードで入れると,ここから後のすべての数式の列間が2
27572 \begin_inset space \thinspace{}
27575 cmになります.これを既定値に戻すには,
27582 \begin_inset space \thinspace{}
27588 \begin_layout Standard
27590 \begin_inset space \thinspace{}
27597 \begin_layout Plain Layout
27609 \begin_inset Formula
27618 \begin_inset space \thinspace{}
27625 \begin_layout Plain Layout
27637 \begin_inset Formula
27648 \begin_layout Subsubsection
27650 \begin_inset Index idx
27653 \begin_layout Plain Layout
27662 \begin_layout Standard
27663 長い数式は,以下の方法を使って組版することができます.
27666 \begin_layout Itemize
27667 左辺ないし右辺の一方が,行幅よりもかなり短いときには,以下のように,短い方を左辺に置き,右辺を二行に分けて組版します.
27668 \begin_inset Formula
27670 H & = & W_{SB}+W_{mv}+W_{D}-\frac{\hbar^{2}}{2m_{0}}\Delta-\frac{\hbar^{2}}{2m_{1}}\Delta_{1}-\frac{\hbar^{2}}{2m_{2}}\Delta_{2}-\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{1}|}\nonumber \\
27671 & & -\hspace{3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}\label{eq:shortlong}
27676 二行目の最初のマイナス記号は,行頭の文字になってしまうため,通常,表示の上で演算子としては取り扱われません.前後に余白が置かれることもなく,分数線からも離れて表
27677 示されません.これを避けるために,マイナス記号の後に
27687 \begin_layout Plain Layout
27695 \begin_inset CommandInset ref
27697 reference "subsec:可変長の空白"
27707 \begin_inset Index idx
27710 \begin_layout Plain Layout
27719 \begin_inset space \thinspace{}
27725 \begin_layout Itemize
27733 \begin_inset Index idx
27736 \begin_layout Plain Layout
27744 コマンドを使います.これを最初の行の第一列に入れると,以下のように,続きの内容が他の列にかかって表示されます.
27745 \begin_inset Formula
27747 \lefteqn{4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}}\nonumber \\
27748 & & -\hspace{3pt}B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}\nonumber \\
27749 & & =B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}\label{eq:lefteqn}
27760 を入力すると,青枠から少し左にずれたところに現れる紫枠にカーソルが移るので,ここに数式を入力します.
27761 \begin_inset Newline newline
27764 二行め以降の行の内容は,二列め以降の列に挿入します.挿入する列が右になるほど,字下げの量が大きくなります.
27765 \begin_inset VSpace medskip
27769 \begin_inset Newline newline
27773 \begin_inset Note Greyedout
27776 \begin_layout Plain Layout
27783 を使用する際には,以下のことにご注意下さい.
27786 \begin_layout Itemize
27787 数式では,ページ幅全部を使うことはしません.たとえば,上記の例で,最初の行に
27788 \begin_inset Formula $-B^{2}$
27791 という項を置いたとすると,ページ余白の領域に出てしまいますが,これはよくありません.幅をうまく使うには,最初の行の行頭に負の空白を入れる方法もあります.
27794 \begin_layout Itemize
27796 のバグによって,最初の行にマウスでカーソルを入れることはできません
27800 \begin_layout Plain Layout
27801 \begin_inset CommandInset href
27803 name "LyX-bug #1429"
27804 target "https://www.lyx.org/trac/ticket/1429"
27815 \begin_inset Flex Ruby
27818 \begin_layout Plain Layout
27820 \begin_inset Argument post:1
27823 \begin_layout Plain Layout
27842 \begin_layout Itemize
27844 \begin_inset CommandInset ref
27846 reference "subsec:multline環境"
27851 \begin_inset CommandInset ref
27853 reference "subsec:数式の一部の多行化"
27857 節で述べられている環境を用いる方法があります.
27860 \begin_layout Subsubsection
27862 \begin_inset CommandInset label
27864 name "subsec:多行にわたる分数"
27869 \begin_inset Index idx
27872 \begin_layout Plain Layout
27873 ぶんすう@分数 ! たぎょうにわたる@多行にわたる
27881 \begin_layout Standard
27882 分数の分母もしくは分子が長すぎて,一行に入りきらないことがあります.この場合には,分数内で改行をしなくてはなりません.これを行うには,
27889 \begin_inset Index idx
27892 \begin_layout Plain Layout
27900 を使うことができます.これを有効化するには,文書設定の
27909 \begin_inset Index idx
27912 \begin_layout Plain Layout
27913 ぱっけーじ@パッケージ ! mathtools
27931 \begin_layout Standard
27936 splitfrac{1行目}{2行目}
27939 \begin_layout Standard
27940 となっており,分母にも分子にも使うことができます.
27943 \begin_layout Standard
27944 \begin_inset Formula
27946 a=\frac{\splitfrac{xy+xy+xy+xy+xy}{+wy+wy+wy+wy}}{z}\ne\frac{\splitdfrac{xy+\frac{xy}{z}+xy+xy+xy}{+xy+xy+xy+xy}}{z}
27951 上記の最初の分子に使われているコマンドは,
27954 \begin_layout Standard
27959 splitfrac{xy+xy+xy+xy+xy
27960 \begin_inset space \textvisiblespace{}
27968 \begin_layout Standard
27972 \begin_layout Subsubsection
27974 \begin_inset CommandInset label
27976 name "subsec:多行にわたる括弧"
27981 \begin_inset Index idx
27984 \begin_layout Plain Layout
27985 かっこ@括弧 ! たぎょうすうしきよう@多行数式用
27993 \begin_layout Standard
27994 多行にわたる括弧を作ろうとすると,以下のような問題が生じます.
27995 \begin_inset Formula
27997 A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
27998 & & \left.\cdots+B-D\right]
28006 \begin_layout Standard
28007 可変寸法の括弧は多行にわたることができないので,閉じ括弧が初めの括弧よりも小さくなってしまっています.
28010 \begin_layout Standard
28011 二行めの括弧の大きさを正しく設定するには,最初の行の終わりを
28018 \begin_inset Index idx
28021 \begin_layout Plain Layout
28037 \begin_layout Plain Layout
28051 \begin_inset CommandInset ref
28053 reference "subsec:自動の括弧丈"
28065 \begin_inset Index idx
28068 \begin_layout Plain Layout
28076 とします.一行めにおいては,範囲付き積演算子がもっとも大きな記号であり,これが二行めの括弧の大きさにならなくてはならないので,
28089 \begin_inset space \textvisiblespace{}
28099 \begin_inset space \textvisiblespace{}
28109 \begin_inset space \textvisiblespace{}
28115 \begin_inset Formula $\downarrow$
28121 \begin_inset Index idx
28124 \begin_layout Plain Layout
28135 \begin_layout Standard
28137 \begin_inset Formula
28139 A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
28140 & & \left.\vphantom{\prod_{R=1}^{\infty}}\cdots+B-D\right]
28148 \begin_layout Subsection
28152 \begin_layout Standard
28153 align環境は,すべての型の多行数式に使うことができ,とくに,いくつかの数式を並べて表示させるのに便利です.
28156 \begin_layout Standard
28157 align環境には列があり,奇数列は右揃え,偶数列は左揃えに設定されます.align環境の行にはすべて,付番することができます.
28160 \begin_layout Standard
28163 挿入\SpecialChar menuseparator
28168 編集\SpecialChar menuseparator
28169 数式\SpecialChar menuseparator
28172 メニューを使えば,既存の数式をalign環境に変更することができます.
28175 \begin_layout Standard
28176 列を追加したり削除したりするには,数式ツールバーボタンの
28179 arg "tabular-feature append-column"
28185 arg "tabular-feature delete-column"
28190 編集\SpecialChar menuseparator
28196 \begin_layout Subsubsection
28198 \begin_inset CommandInset label
28200 name "subsec:標準align環境"
28205 \begin_inset Index idx
28208 \begin_layout Plain Layout
28210 \begin_inset space \thinspace{}
28213 —— ! alignかんきょう@align環境
28221 \begin_layout Standard
28225 arg "newline-insert newline"
28230 挿入\SpecialChar menuseparator
28231 数式\SpecialChar menuseparator
28237 \begin_layout Standard
28238 以下は,二つの数式を横に並べた例ですが,これは4列からなるalign環境として作ります.
28239 \begin_inset Formula
28241 A & =\sin(B) & C & =D\\
28242 C & \ne A & B & \ne D
28247 ご覧になって分かるように,この環境の数式は,一列めの前と偶数列の後に
28255 \begin_layout Plain Layout
28263 \begin_inset CommandInset ref
28265 reference "subsec:可変長の空白"
28276 があるかのように配置されます.数式様式として
28282 \begin_layout Plain Layout
28288 \begin_inset CommandInset ref
28290 reference "sec:数式様式"
28310 \begin_layout Subsubsection
28312 \begin_inset Index idx
28315 \begin_layout Plain Layout
28317 \begin_inset space \thinspace{}
28320 —— ! alignatかんきょう@alignat環境
28328 \begin_layout Standard
28329 alignat環境には,事前に設定された列間が存在しません.列間は,必要ならば,第
28330 \begin_inset CommandInset ref
28332 reference "subsec:空白"
28336 節に述べられている空白を使用して手動で入れます.
28339 \begin_layout Standard
28340 以下は,上記の例をalignat環境に設定し,二つめの数式の頭に1
28341 \begin_inset space \thinspace{}
28345 \begin_inset Formula
28346 \begin{alignat*}{2}
28347 A & =\sin(B) & \hspace{1cm}C & =D\\
28348 C & \ne A & B & \ne D
28353 列間を各列ごとに設定することができるので,この環境は,とくに三つないし四つの数式を横に並べるのに向いています.
28356 \begin_layout Subsubsection
28358 \begin_inset CommandInset label
28360 name "subsec:flalign環境"
28365 \begin_inset Index idx
28368 \begin_layout Plain Layout
28370 \begin_inset space \thinspace{}
28373 —— ! flalignかんきょう@flalign環境
28381 \begin_layout Standard
28382 この環境では,つねに,最初の二列をできるだけ左寄せにし,最後の二列をできるだけ右寄せにするように設定されます.以下がその例です.
28383 \begin_inset Formula
28385 A & =1 & B & =2 & C & =3\\
28386 X & =\textrm{-}1 & Y & =\textrm{-}2 & Z & =4
28394 \begin_layout Standard
28395 奇数列のflalign環境を作成し,最後の列に空の\SpecialChar TeX
28400 が用いられているときでも,一部の数式を左寄せにすることができます.以下は,例として
28401 \begin_inset CommandInset ref
28403 reference "eq:VolInt"
28408 \begin_inset Formula
28410 \hspace{30pt}\iiint\limits _{V}X\,\mathrm{d}V & =U & {}
28415 ここで,最初の二列には数式が入れられており,行頭下げ数式様式と同等の字下げを行うために,30
28416 \begin_inset space \thinspace{}
28419 ptの空白が第1列の頭に入れてあります.
28422 \begin_layout Subsection
28424 \begin_inset CommandInset label
28426 name "subsec:eqnarray環境"
28431 \begin_inset Index idx
28434 \begin_layout Plain Layout
28436 \begin_inset space \thinspace{}
28439 —— ! eqnarrayかんきょう@eqnarray環境
28447 \begin_layout Standard
28448 この環境を作成すると,三つの青枠が現れます.最初の枠の内容は右寄せに設定され,最後の枠の内容は左寄せに設定されます.中央の枠は,関係子のみを入れることを想定して
28449 いるので,その内容は中央揃えで少し小さく設定されます.
28450 \begin_inset Formula
28452 \frac{ABC}{D} & \frac{ABC}{D} & \frac{ABC}{D}\\
28462 \begin_layout Subsection
28464 \begin_inset Index idx
28467 \begin_layout Plain Layout
28469 \begin_inset space \thinspace{}
28472 —— ! gatherかんきょう@gather環境
28480 \begin_layout Standard
28481 この環境には,中央揃えに設定された列一つしかありません.行はすべて付番することができます.
28482 \begin_inset Formula
28493 \begin_layout Subsection
28495 \begin_inset CommandInset label
28497 name "subsec:multline環境"
28502 \begin_inset Index idx
28505 \begin_layout Plain Layout
28507 \begin_inset space \thinspace{}
28510 —— ! multlineかんきょう@multpline環境
28518 \begin_layout Standard
28519 gather環境同様,multline環境には,中央揃えに設定された列一つしかありません.ただし,一行めが左揃えに設定され,最終行が右揃えに設定されるのです.他
28520 の行はすべて中央揃えになります.このことから,この環境は,長い数式に使うのに向いています.用例として,
28521 \begin_inset CommandInset ref
28523 reference "eq:lefteqn"
28527 式をmultline環境に置いたものを示します.
28528 \begin_inset Formula
28530 4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}\\
28531 -B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}\\
28532 =B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}
28540 \begin_layout Standard
28541 文書の付番設定が右寄せ(左寄せ)になっているときには,出力では,multline環境の最後(最初)の行だけが付番されます
28545 \begin_layout Plain Layout
28547 \begin_inset CommandInset ref
28549 reference "sec:数式様式"
28561 \begin_layout Standard
28567 \begin_inset Index idx
28570 \begin_layout Plain Layout
28581 \begin_inset Index idx
28584 \begin_layout Plain Layout
28594 コマンドを使えば,中央揃えの行を右寄せや左寄せにすることができます.これらのコマンドは,以下のようにして使います.
28597 \begin_layout Standard
28611 \begin_layout Standard
28612 \begin_inset VSpace medskip
28620 \begin_inset Index idx
28623 \begin_layout Plain Layout
28633 長は,一行めの左ページ余白からの距離を指定します.既定値は0
28634 \begin_inset space \thinspace{}
28640 \begin_layout Standard
28644 \begin_layout Standard
28654 \begin_layout Standard
28655 というコマンドを,\SpecialChar TeX
28660 \begin_layout Plain Layout
28672 \begin_inset Formula
28674 4x^{2}\left(B^{2}+x_{0}^{2}\right)+4x_{0}x\left(D-B^{2}\right)+B^{2}\left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}\right)+D^{2}\\
28675 \shoveleft{-B^{2}-2B\sqrt{r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}+r_{g}^{2}-x^{2}+2x_{0}x-x_{0}^{2}}\\
28676 =B^{2}+2\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)+\frac{\left(r_{g}^{2}+2x_{0}x-x_{0}^{2}-r_{k}^{2}\right)^{2}}{B^{2}}
28685 \begin_layout Plain Layout
28705 \begin_layout Subsection
28707 \begin_inset CommandInset label
28709 name "subsec:数式の一部の多行化"
28714 \begin_inset Index idx
28717 \begin_layout Plain Layout
28719 \begin_inset space \thinspace{}
28722 —— ! すうしきのいちぶ@数式の一部
28730 \begin_layout Standard
28731 数式の一部分のみを多行表示したい場合には,
28747 のうちのいずれかの環境を使用します.これらは,
28749 挿入\SpecialChar menuseparator
28752 メニューか,本節で解説している各コマンドを使用して挿入することができます.
28755 \begin_layout Standard
28760 を省いた同名の多行数式環境と同じ性格を持ちますが,環境の前後に数式を続けることが可能です.たとえば,
28761 \begin_inset Formula
28763 \left.\begin{aligned}\Delta x\Delta p & \ge\frac{\hbar}{2}\\
28764 \Delta E\Delta t & \ge\frac{\hbar}{2}
28766 \right\} \textrm{不確定性原理}
28774 \begin_layout Standard
28775 この数式を作るには,別行立て数式をまず作っておいて,そこに
28780 \begin_inset Index idx
28783 \begin_layout Plain Layout
28793 コマンドを挿入しています.紫枠の中に青枠が現れるので,そこに必要に応じて,列や行を加えていきます.この多行環境の外には,括弧などの他の数式要素を入れることができ
28797 \begin_layout Standard
28798 aligned環境は,長い数式を水平方向を揃えて表示するのにも向いています.別行立て数式内でalignedを用いるようにすると,数式番号を行末の,数式全高の中心
28799 に配置できる利点があります.以下に例として,
28800 \begin_inset CommandInset ref
28802 reference "eq:shortlong"
28806 式にaligned環境を適用したものを示します.
28807 \begin_inset Formula
28809 \begin{aligned}H=\; & W_{SB}+W_{mv}+W_{D}-\frac{\hbar^{2}}{2m_{0}}\Delta-\frac{\hbar^{2}}{2m_{1}}\Delta_{1}-\frac{\hbar^{2}}{2m_{2}}\Delta_{2}-\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{1}|}\\
28810 & -\hspace{3pt}\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{r}-\mathbf{R}_{2}|}+\frac{e^{2}}{4\pi\varepsilon_{0}|\mathbf{R}_{1}-\mathbf{R}_{2}|}
28819 \begin_layout Standard
28839 \begin_inset Index idx
28842 \begin_layout Plain Layout
28857 \begin_inset Index idx
28860 \begin_layout Plain Layout
28875 \begin_inset Index idx
28878 \begin_layout Plain Layout
28886 の各コマンドを挿入します.split環境は,aligned環境と同じ性格を持ちますが,二つの列しか作ることができません.
28889 \begin_layout Subsection
28891 \begin_inset CommandInset label
28893 name "subsec:多行数式中のテキスト"
28898 \begin_inset Index idx
28901 \begin_layout Plain Layout
28902 てきすと @ テキスト ! すうしきちゅうの @ 数式中の
28908 \begin_inset Index idx
28911 \begin_layout Plain Layout
28912 すうしき @ 数式 ! たぎょう @ 多行
28913 \begin_inset space \thinspace{}
28924 \begin_layout Standard
28925 各align系環境およびmultline・gather環境では,独立した行に列揃えの影響を受けない形でテキストを挿入することができます.これを行うには,以下の書
28933 \begin_inset Index idx
28936 \begin_layout Plain Layout
28947 \begin_layout Standard
28955 \begin_layout Standard
28956 テキストのハイフネーションを行うことはできないので,テキストは一行に収めなくてはなりません.\SpecialChar LyX
28963 を直接サポートしていないので,テキストは数式テキストとして書き入れます.ここで,
28969 は行頭になくてはならず,当該行の上に出力されます.以下は,二行めの行頭にテキストを入れた例です.
28970 \begin_inset Formula
28972 I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
28973 \intertext{\text{被積分函数は\ensuremath{\phi=\pi}において対称なので、}} & =2a\sqrt{2}\int_{0}^{\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi
28981 \begin_layout Standard
28988 は,文と数式行の間に,常に縦空白を生み出します.この空白を抑制するには,文書設定の
28997 \begin_inset Index idx
29000 \begin_layout Plain Layout
29001 ぱっけーじ@パッケージ ! mathtools
29010 に設定してください.そうすると,以下のように,
29023 \begin_inset Index idx
29026 \begin_layout Plain Layout
29035 \begin_inset Formula
29037 I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
29038 \shortintertext{\text{被積分函数は\ensuremath{\phi=\pi}において対称なので、}} & =2a\sqrt{2}\int_{0}^{\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi
29046 \begin_layout Section
29048 \begin_inset Index idx
29051 \begin_layout Plain Layout
29058 \begin_inset Index idx
29061 \begin_layout Plain Layout
29066 \begin_layout Plain Layout
29077 \begin_layout Plain Layout
29092 \begin_layout Subsection
29096 \begin_layout Standard
29099 挿入\SpecialChar menuseparator
29100 数式\SpecialChar menuseparator
29104 \begin_inset Flex Ruby
29107 \begin_layout Plain Layout
29109 \begin_inset Argument post:1
29112 \begin_layout Plain Layout
29126 \begin_inset space ~
29131 )で作ることができます.既存の数式に番号を振るには,
29133 編集\SpecialChar menuseparator
29134 数式\SpecialChar menuseparator
29140 arg "math-number-toggle"
29143 )を使います.\SpecialChar LyX
29144 中において数式番号は,数式の後に括弧に囲まれた「#」で表されます.「#」は,実際の出力では数式番号に置き換えられます.
29147 \begin_layout Standard
29148 多行数式で付番が有効になっているときには,すべての行に番号が振られます.ただし,
29150 編集\SpecialChar menuseparator
29151 数式\SpecialChar menuseparator
29157 arg "math-number-line-toggle"
29160 )を使用すれば,各行毎に付番するかどうか指定することができます.
29163 \begin_layout Standard
29164 行内数式を除いて,すべての数式は二通りの様式で番号を振ることができます.第
29165 \begin_inset CommandInset ref
29167 reference "sec:数式様式"
29174 \begin_layout Subsection
29176 \begin_inset Index idx
29179 \begin_layout Plain Layout
29180 そうごさんしょう@相互参照 ! すうしきへの@数式への
29188 \begin_layout Standard
29189 ラベルを付けた数式は,すべて相互参照することができます.ラベルは,
29191 挿入\SpecialChar menuseparator
29200 で付けることができます.このとき,カーソルは別行立て数式の中になくてはなりません.すると,テキストフィールドの中に
29204 いう接頭語の入ったダイアログが現れるので,接頭語の後にラベルを挿入します.この既定の接頭辞は「equation(数式)」を意味し,こうして数式ラベルであるとの標
29205 を付けることによって,節ラベルなどから区別し,大きな文書の中でラベルを見つけるのを容易にします.ラベルを変更するには,
29207 挿入\SpecialChar menuseparator
29213 \begin_layout Standard
29215 中でラベル名は,数式の後ろに,二つの括弧に囲まれて表示されます.ラベル付きの数式はつねに付番されます.
29218 \begin_layout Standard
29221 挿入\SpecialChar menuseparator
29227 arg "dialog-show-new-inset ref"
29230 を使って挿入します.数式相互参照は,出力では数式番号として表示されます.相互参照ダイアログで「
29234 」書式を選択した場合には,出力での相互参照は,括弧に囲まれた数式番号として表示されます.
29235 \begin_inset Newline newline
29239 中で相互参照を右クリックすると,参照先の数式に移動することができます.
29242 \begin_layout Standard
29243 以下は,後の各小節に現れる数式への相互参照を含む例です.
29244 \begin_inset Note Note
29247 \begin_layout Plain Layout
29248 相互参照の型の違いに留意してください.
29256 \begin_layout Standard
29257 \begin_inset CommandInset ref
29264 \begin_inset CommandInset ref
29271 \begin_inset CommandInset ref
29278 \begin_inset CommandInset ref
29284 )式では,付番にラテン数字を使用しています.
29287 \begin_layout Standard
29288 \begin_inset VSpace medskip
29299 \begin_layout Plain Layout
29307 \begin_inset CommandInset ref
29309 reference "subsec:自己定義番号"
29321 \begin_inset CommandInset ref
29323 reference "subsec:段落ボックス"
29327 節で述べたボックスを含んでいるときには,その数式を参照することはできません.
29330 \begin_layout Subsection
29332 \begin_inset Index idx
29335 \begin_layout Plain Layout
29336 すうしきばんごう@数式番号 ! さいもくばんごう@細目番号
29344 \begin_layout Standard
29347 Formulas can be numbered as subequations.
29348 To activate this feature, add the module
29352 to the document in the menu
29354 Document\SpecialChar menuseparator
29355 Settings\SpecialChar menuseparator
29359 To insert subequations use the menu
29361 Insert\SpecialChar menuseparator
29362 Custom Insets\SpecialChar menuseparator
29368 \begin_layout Standard
29371 The equations to be subnumbered are put into the
29378 \begin_inset Formula
29386 \begin_inset VSpace -5mm
29390 \begin_inset Flex Subequations
29393 \begin_layout Plain Layout
29394 \begin_inset Formula
29402 \begin_inset Formula
29417 \begin_layout Standard
29420 Every formula in the
29424 inset will be subnumbered with
29426 a・b・c\SpecialChar ldots
29430 \begin_layout Standard
29432 \begin_inset CommandInset ref
29439 \begin_inset CommandInset ref
29447 If you want to reference the subequations collectively, insert a label as
29455 \begin_inset CommandInset ref
29464 \begin_layout Standard
29467 By inserting subequations vertical space is added before it
29470 \begin_inset space \thinspace{}
29475 vertical space right before the
29487 \begin_layout Plain Layout
29489 \begin_inset CommandInset ref
29491 reference "sec:数式様式"
29503 \begin_inset space \thinspace{}
29509 \begin_layout Standard
29512 To get another subnumber instead of small Latin letters, insert this command
29513 as \SpecialChar TeX
29514 code before the equations in the
29521 \begin_layout Standard
29530 theparentequation -
29535 \begin_layout Standard
29538 theparentequationは親番号を生成し,
29540 roman{equation}は細目番号として小文字ローマ数字を生成します.番号付けの調整について,詳しくは第
29541 \begin_inset CommandInset ref
29543 reference "subsec:ローマ数字や文字を使った付番"
29550 \begin_layout Standard
29551 下記は,番号付けを調整済みで,2行目の付番を消した多行数式の例です.
29552 \begin_inset Flex Subequations
29555 \begin_layout Plain Layout
29556 \begin_inset CommandInset label
29566 \begin_layout Plain Layout
29574 theparentequation -
29582 \begin_inset Formula
29584 A & = & (B-Z)^{2}=(B-Z)(B-Z)\\
29585 & = & B^{2}-ZB-BZ+Z^{2}\nonumber \\
29586 & = & B^{2}-2BZ+Z^{2}
29599 \begin_layout Subsection
29601 \begin_inset CommandInset label
29603 name "subsec:ローマ数字や文字を使った付番"
29608 \begin_inset Index idx
29611 \begin_layout Plain Layout
29612 すうしきばんごう@数式番号 ! もじをつかった@文字を使った
29618 \begin_inset Index idx
29621 \begin_layout Plain Layout
29622 すうしきばんごう@数式番号 ! ろーますうじをつかった@ローマ数字を使った
29630 \begin_layout Standard
29631 数式は,ローマ数字やラテン文字を使って付番することもできます.たとえば,小文字のローマ数字を使って付番するには,数式の前に\SpecialChar TeX
29635 \begin_layout Standard
29647 \begin_layout Standard
29655 \begin_inset Index idx
29658 \begin_layout Plain Layout
29682 \begin_layout Plain Layout
29690 \begin_inset CommandInset ref
29692 reference "subsec:newcommandコマンド"
29717 をカウンタの接頭辞として使用すると,カウンタの値がアラビア数字として出力されます.数式に番号を振ると,\SpecialChar LaTeX
29729 \begin_inset Index idx
29732 \begin_layout Plain Layout
29742 は,カウンタを小文字のローマ数字として出力します.
29745 \begin_layout Standard
29756 コマンド以降の数式はすべて,ローマ数字で付番されるようになります.大文字のローマ数字での付番に切り替えたいときは,同じコマンドの
29769 \begin_inset Index idx
29772 \begin_layout Plain Layout
29782 に変えて挿入します.また,小文字ラテン文字を使って「付番」したいときのために,
29789 \begin_inset Index idx
29792 \begin_layout Plain Layout
29800 コマンドがあり,大文字ラテン文字を使って付番したいときのためには,
29807 \begin_inset Index idx
29810 \begin_layout Plain Layout
29823 \begin_layout Standard
29824 \begin_inset Note Greyedout
29827 \begin_layout Plain Layout
29832 ラテン文字を使うと,一つの文書の中で,最大26個の数式しか番号を振ることができません.
29838 \begin_inset Newpage newpage
29844 \begin_layout Standard
29848 \begin_layout Plain Layout
29864 \begin_layout Standard
29865 \begin_inset Formula
29867 A=\textrm{小文字ローマ数字}
29876 \begin_layout Plain Layout
29890 \begin_inset Formula
29892 B=\textrm{大文字ローマ数字}\label{eq:Rom}
29901 \begin_layout Plain Layout
29915 \begin_inset Formula
29917 C=\textrm{小文字ラテン文字}
29926 \begin_layout Plain Layout
29940 \begin_inset Formula
29942 D=\textrm{大文字ラテン文字}\label{eq:Lat}
29950 \begin_layout Standard
29951 既定の付番方式に戻すには,以下のコマンドを挿入してください.
29954 \begin_layout Standard
29964 \begin_inset Index idx
29967 \begin_layout Plain Layout
29978 \begin_layout Standard
29982 \begin_layout Plain Layout
29996 \begin_inset Formula
30006 \begin_layout Standard
30007 \begin_inset VSpace medskip
30010 以上からわかるとおり,付番様式の違いに関わらず,数式番号は連番で振られます.様式変更時に「1」から番号が始まるようにするためには,新しい数式カウンタを定義しなく
30011 てはなりません.この点に関する説明は,ファイル
30012 \begin_inset CommandInset href
30014 name "Formula-numbering.lyx"
30015 target "run:Formula-numbering.lyx"
30023 \begin_layout Subsection
30025 \begin_inset CommandInset label
30027 name "subsec:自己定義番号"
30032 \begin_inset Index idx
30035 \begin_layout Plain Layout
30036 すうしきばんごう@数式番号 ! じこていぎ@自己定義
30044 \begin_layout Standard
30045 \begin_inset Note Greyedout
30048 \begin_layout Plain Layout
30054 If the document language is a right-to-left language such as Arabic, you
30055 must add this to the to the \SpecialChar LaTeX
30056 -preamble to be able to use the commands described
30060 \begin_inset Newline newline
30068 \begin_inset Newline newline
30072 \begin_inset Phantom HPhantom
30075 \begin_layout Plain Layout
30076 \begin_inset space ~
30102 \begin_layout Standard
30103 \begin_inset Index idx
30106 \begin_layout Plain Layout
30107 すうしきばんごう@数式番号 ! じこていぎくぎり@自己定義区切り
30112 標準の付番では,数式番号の周りに括弧が表示されます.括弧をたとえば縦棒に置き換えるには,\SpecialChar LaTeX
30113 プリアンブルに以下の行を付け加えます.
30116 \begin_layout Standard
30122 \begin_inset Newline newline
30126 \begin_inset Phantom HPhantom
30129 \begin_layout Plain Layout
30130 \begin_inset space ~
30147 \begin_inset Formula $\boldsymbol{|}$
30155 \begin_inset Formula $\boldsymbol{|}$
30163 \begin_inset Note Note
30166 \begin_layout Plain Layout
30167 このマクロは,テスト用に\SpecialChar LaTeX
30168 プリアンブルで既に宣言されています.これを有効にするには,最初のパーセント記号を取り除いて下さい.
30176 \begin_layout Standard
30181 脇の縦棒を一つないし複数の文字で置き換えて下さい.数式番号だけで良い時は,縦棒を削除して下さい.
30184 \begin_layout Standard
30185 \begin_inset VSpace bigskip
30188 数式の後ろに,括弧に囲まれた連番の代わりに,何かしらの表現が欲しいときには,以下のように
30195 \begin_inset Index idx
30198 \begin_layout Plain Layout
30207 \begin_inset Formula
30209 A+B=C\tag{何とかかんとか}\label{eq:tag}
30219 \begin_inset space \textvisiblespace{}
30224 というコマンドを数式に打ち込んでいます.
30227 \begin_layout Standard
30233 \begin_inset space \textvisiblespace{}
30238 というコマンドを使うと,星印は表現の周りの括弧を抑制するので,以下のようになります.
30239 \begin_inset Formula
30241 A+B=C\tag*{something}
30249 \begin_layout Standard
30250 \begin_inset VSpace bigskip
30253 数式番号を,文書中の新しい部門や節ごとに振りなおしたいときには,部に関しては
30254 \begin_inset Newline newline
30261 @addtoreset{equation}{part}
30264 \begin_inset Index idx
30267 \begin_layout Plain Layout
30276 \begin_layout Plain Layout
30287 \begin_layout Plain Layout
30300 \begin_inset Newline newline
30304 \begin_inset Newline newline
30311 @addtoreset{equation}{section}
30312 \begin_inset Newline newline
30320 \begin_layout Standard
30321 これらのコマンドを\SpecialChar TeX
30328 コマンドで「@」字を\SpecialChar LaTeX
30329 中で「有効」にしてやらなくてはなりません.一方,
30335 コマンドはこれを無効にします.したがって,\SpecialChar TeX
30339 \begin_layout Standard
30345 \begin_inset Newline newline
30350 @addtoreset{equation}{section}
30351 \begin_inset Newline newline
30357 \begin_inset Newline newline
30365 \begin_layout Standard
30380 が内部的に自動で挿入するので省略してかまいません.
30383 \begin_layout Standard
30390 を戻すには,まず\SpecialChar LaTeX
30394 \begin_layout Standard
30399 usepackage{remreset}
30402 \begin_layout Standard
30411 \begin_layout Plain Layout
30416 は,\SpecialChar LaTeX
30422 \begin_inset Index idx
30425 \begin_layout Plain Layout
30426 ぱっけーじ@パッケージ ! carlisle
30431 の一部として含まれており,\SpecialChar LaTeX
30438 \begin_inset Index idx
30441 \begin_layout Plain Layout
30442 ぱっけーじ@パッケージ ! remreset
30447 ファイルを読み込んでおかなくてはなりません.その後
30448 \begin_inset Newline newline
30458 \begin_inset Index idx
30461 \begin_layout Plain Layout
30470 \begin_layout Plain Layout
30481 \begin_layout Plain Layout
30508 \begin_layout Standard
30509 \begin_inset VSpace bigskip
30515 \begin_layout Standard
30521 \begin_layout Standard
30522 のような形で付番し,節ごとに数式番号を「1」から始めさせなくてはならないときがあります.
30525 \begin_layout Standard
30533 \begin_inset Index idx
30536 \begin_layout Plain Layout
30547 \begin_layout Standard
30552 numberwithin{カウンタ}{節階層}
30555 \begin_layout Standard
30556 という書式で用います.「カウンタ」は,どの番号を制御するかを表し,「節階層」は点の前に何の番号を振るのかを表します.
30559 \begin_layout Standard
30560 したがって,ここでは\SpecialChar LaTeX
30561 プリアンブルか\SpecialChar TeX
30565 \begin_layout Standard
30570 numberwithin{equation}{section}
30573 \begin_layout Standard
30574 という行を用いることにしましょう.その結果がこれです.
30578 \begin_layout Plain Layout
30582 numberwithin{equation}{section}
30588 \begin_inset Formula
30598 \begin_layout Standard
30599 たとえば,部番号を節階層として使用して,表に付番を施すときには
30600 \begin_inset Newline newline
30607 numberwithin{table}{part}
30612 \begin_layout Standard
30613 標準の付番方式に戻したいときや,この種の付番が文書クラスで定義されているときに,それを止めさせたい場合には,
30616 \begin_layout Standard
30626 \begin_inset Index idx
30629 \begin_layout Plain Layout
30643 \begin_layout Plain Layout
30659 \begin_inset Newline newline
30667 \begin_inset Newline newline
30679 \begin_layout Standard
30680 というコマンドを\SpecialChar TeX
30681 コードとして入れるか,\SpecialChar LaTeX
30694 コマンドを使用しているので,これも使用後は戻しておかなくてはなりません.
30698 \begin_layout Plain Layout
30705 \begin_layout Plain Layout
30709 @removefromreset{equation}{section}
30712 \begin_layout Plain Layout
30724 \begin_layout Section
30726 \begin_inset CommandInset label
30728 name "subsec:化学記号と化学式"
30733 \begin_inset Index idx
30736 \begin_layout Plain Layout
30737 かがくきごう@化学記号 ! きごう@記号
30743 \begin_inset Index idx
30746 \begin_layout Plain Layout
30753 \begin_inset Index idx
30756 \begin_layout Plain Layout
30765 \begin_layout Standard
30769 \begin_layout Quote
30770 \begin_inset Formula $\mathrm{SO_{4}^{2-}}$
30774 \begin_inset Formula $\mathrm{Na^{+}}$
30778 \begin_inset Formula $\left(\mathrm{Na_{2}SO_{4}}\right)$
30781 を形成します.この化学式は以下のようになります.
30782 \begin_inset Formula
30784 \mathrm{2\,Na^{+}+SO_{4}^{2-}\longrightarrow Na_{2}SO_{4}}\label{eq:chem-reaction}
30792 \begin_layout Standard
30793 この化学式は,直接数式として作成することができます.記号がイタリック体として表示されることを防ぐには,全体を選択してから
30794 \begin_inset Flex Ruby
30797 \begin_layout Plain Layout
30799 \begin_inset Argument post:1
30802 \begin_layout Plain Layout
30819 を押せば,アップライトフォント様式に変更することができます
30823 \begin_layout Plain Layout
30825 \begin_inset CommandInset ref
30827 reference "subsec:書体様式"
30839 \begin_layout Standard
30840 化学式を組版するのにもう少し便利な方法は,\SpecialChar LaTeX
30846 \begin_inset Index idx
30849 \begin_layout Plain Layout
30850 ぱっけーじ@パッケージ ! mhchem
30855 が導入されているときに使用することができる
30862 \begin_inset Index idx
30865 \begin_layout Plain Layout
30879 を数式に入力すると,新しい青いボックスが現れ,直感的に化学式を入力することができます.
30882 \begin_layout Standard
30884 \begin_inset Tabular
30885 <lyxtabular version="3" rows="10" columns="2">
30886 <features booktabs="true" tabularvalignment="middle">
30887 <column alignment="center" valignment="top" width="0pt">
30888 <column alignment="center" valignment="top">
30890 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
30893 \begin_layout Plain Layout
30899 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
30902 \begin_layout Plain Layout
30910 <cell alignment="center" valignment="top" leftline="true" usebox="none">
30913 \begin_layout Plain Layout
30917 \begin_inset space \textvisiblespace{}
30925 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
30928 \begin_layout Plain Layout
30929 \begin_inset Formula $\ce{H2CO3}$
30938 <row topspace="1.5mm">
30939 <cell alignment="center" valignment="top" usebox="none">
30942 \begin_layout Plain Layout
30946 \begin_inset space \textvisiblespace{}
30954 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
30957 \begin_layout Plain Layout
30958 \begin_inset Formula $\ce{SO4^{2-}}$
30967 <row topspace="1.5mm">
30968 <cell alignment="center" valignment="top" usebox="none">
30971 \begin_layout Plain Layout
30975 \begin_inset space \textvisiblespace{}
30983 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
30986 \begin_layout Plain Layout
30987 \begin_inset Formula $\ce{(NH4)2S}$
30996 <row topspace="1.5mm">
30997 <cell alignment="center" valignment="top" usebox="none">
31000 \begin_layout Plain Layout
31004 \begin_inset space \textvisiblespace{}
31012 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
31015 \begin_layout Plain Layout
31016 \begin_inset Formula $\ce{KCr(SO4)2.12H2O}$
31025 <row topspace="1.5mm">
31026 <cell alignment="center" valignment="top" usebox="none">
31029 \begin_layout Plain Layout
31033 \begin_inset space \textvisiblespace{}
31039 \begin_inset space \textvisiblespace{}
31045 \begin_inset space \textvisiblespace{}
31053 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
31056 \begin_layout Plain Layout
31057 \begin_inset Formula $\ce{A-B\dbond C\tbond D}$
31066 <row topspace="1.5mm">
31067 <cell alignment="center" valignment="top" usebox="none">
31070 \begin_layout Plain Layout
31074 \begin_inset space \textvisiblespace{}
31078 \begin_inset Formula $\downarrow$
31082 \begin_inset Formula $\to$
31090 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
31093 \begin_layout Plain Layout
31094 \begin_inset Formula $\ce{_{90}^{227}Th+}$
31104 <cell alignment="center" valignment="top" leftline="true" usebox="none">
31107 \begin_layout Plain Layout
31111 \begin_inset space \textvisiblespace{}
31117 \begin_inset space \textvisiblespace{}
31123 \begin_inset space \textvisiblespace{}
31131 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
31134 \begin_layout Plain Layout
31135 \begin_inset Formula $\ce{\ensuremath{\mu\hyphen}Cl}$
31145 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
31148 \begin_layout Plain Layout
31152 \begin_inset space \textvisiblespace{}
31156 \begin_inset space \textvisiblespace{}
31160 \begin_inset space \textvisiblespace{}
31164 \begin_inset space \textvisiblespace{}
31168 \begin_inset space \textvisiblespace{}
31176 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
31179 \begin_layout Plain Layout
31180 \begin_inset Formula $\ce{CO2 + C <=> 2CO}$
31189 <row topspace="1.5mm">
31190 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
31193 \begin_layout Plain Layout
31197 \begin_inset space \textvisiblespace{}
31201 \begin_inset space \textvisiblespace{}
31205 \begin_inset space \textvisiblespace{}
31209 \begin_inset space \textvisiblespace{}
31217 \begin_inset space \textvisiblespace{}
31225 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
31228 \begin_layout Plain Layout
31229 \begin_inset Formula $\ce{CO2 + C ->[\alpha][\beta] 2CO}$
31245 \begin_layout Standard
31246 \begin_inset Note Greyedout
31249 \begin_layout Plain Layout
31259 の説明書通りに上矢印を得ようと^文字を使用しても,うまく行きません.代わりに,次のように,負の小空白の後に
31266 \begin_inset Formula $\ce{Fe + 2H+ -> Fe^{2+} + H2\negthinspace\uparrow}$
31277 \begin_layout Standard
31285 \begin_inset CommandInset ref
31287 reference "eq:chem-reaction"
31292 \begin_inset Newline newline
31300 \begin_inset space \textvisiblespace{}
31304 \begin_inset space \textvisiblespace{}
31308 \begin_inset space \textvisiblespace{}
31312 \begin_inset space \textvisiblespace{}
31316 \begin_inset space \textvisiblespace{}
31320 \begin_inset space \textvisiblespace{}
31324 \begin_inset Newline newline
31332 \begin_layout Standard
31334 \begin_inset CommandInset ref
31336 reference "sec:多行数式"
31340 節に述べられている方法で,多行数式をまず作ります.その後,数式の小さな青いボックスそれぞれに
31347 \begin_inset CommandInset ref
31349 reference "eq:TEOS-reaction-1"
31354 \begin_inset CommandInset ref
31356 reference "eq:TEOS-reaction-2"
31360 式は,多段化学反応式の例で,一つの式毎に番号が振られています.
31361 \begin_inset Formula
31363 \ce{TEOS + 4O} & \ce{->} & \ce{Si(OH)4 + 4C2H4O}\label{eq:TEOS-reaction-1}\\
31364 \ce{Si(OH)4} & \ce{->} & \ce{SiO2 + 2H2O}\label{eq:TEOS-reaction-2}
31372 \begin_layout Standard
31390 \begin_inset Index idx
31393 \begin_layout Plain Layout
31412 \begin_inset CommandInset citation
31422 \begin_layout Section
31426 \begin_layout Standard
31436 をサポートしており,以下でこれらの説明をします.
31439 \begin_layout Subsection
31441 \begin_inset Index idx
31444 \begin_layout Plain Layout
31453 \begin_layout Standard
31454 この型の図解は,以下のように,関係を縦横の線や矢印で図示します.
31455 \begin_inset Formula
31457 \begin{CD}A@>>>B@>>>C\\
31468 \begin_layout Standard
31474 \begin_inset Index idx
31477 \begin_layout Plain Layout
31487 コマンドを挿入します.二つの点線に囲まれた青枠が現れるので,ここにコマンドを入れていきます.
31490 arg "newline-insert newline"
31493 を押すと,新しい行が作られます.水平方向の関係は奇数行に入れ,垂直方向の関係は偶数行に入れます.
31496 \begin_layout Standard
31497 関係を作るには,以下のコマンドがあります.
31500 \begin_layout Itemize
31501 \begin_inset Formula $\boldsymbol{@<<<}$
31505 \begin_inset Formula $\boldsymbol{@>>>}$
31515 \begin_layout Itemize
31525 \begin_inset Formula $\boldsymbol{@|}$
31531 \begin_layout Itemize
31539 \begin_layout Standard
31540 矢印はすべて,以下のようにラベル付けをすることができます.
31543 \begin_layout Itemize
31545 \begin_inset Formula $<$
31549 \begin_inset Formula $>$
31552 」のあいだに入れると,この文章は矢印の上に表示されます.第2・第3の「
31553 \begin_inset Formula $<$
31557 \begin_inset Formula $>$
31560 」のあいだに入れると,矢印の下に表示されます.
31563 \begin_layout Itemize
31564 縦矢印に付ける文章を,第1・第2の「A」ないし「V」のあいだに入れると,この文章は矢印の左に表示されます.第2・第3のもののあいだに入れると,矢印の右に表示され
31565 ます.文章中に「A」や「V」の文字があるときには,これらは\SpecialChar TeX
31569 \begin_layout Standard
31570 以下は,上記のすべての関係を使った例です.
31573 \begin_layout Standard
31574 \begin_inset Formula
31576 \begin{CD}A@>j>>B@>>k>C@=F\\
31587 \begin_layout Standard
31588 これを作るコマンドは,以下のとおりです.
31589 \begin_inset Newline newline
31597 \begin_inset space \textvisiblespace{}
31601 \begin_inset Formula $\boldsymbol{@>}$
31605 \begin_inset Formula $\boldsymbol{>>}$
31609 \begin_inset Formula $\boldsymbol{@>>}$
31613 \begin_inset Formula $\boldsymbol{>}$
31617 \begin_inset Newline newline
31621 \begin_inset Phantom HPhantom
31624 \begin_layout Plain Layout
31630 \begin_inset space \textvisiblespace{}
31643 \begin_inset Formula $\to$
31649 \begin_inset Formula $\boldsymbol{@|}$
31653 \begin_inset Newline newline
31657 \begin_inset Phantom HPhantom
31660 \begin_layout Plain Layout
31666 \begin_inset space \textvisiblespace{}
31675 \begin_inset Formula $\boldsymbol{@<<}$
31679 \begin_inset Formula $\boldsymbol{<}$
31683 \begin_inset Formula $\boldsymbol{@>}$
31687 \begin_inset Formula $\boldsymbol{>>}$
31693 \begin_layout Subsection
31695 \begin_inset Index idx
31698 \begin_layout Plain Layout
31707 \begin_layout Standard
31708 xymatricesを使うには,\SpecialChar LaTeX
31713 が導入済みである必要があります.xymatrixは,数式中に
31719 コマンドを入れることで作ることができます.すると,通常の行列と同じようにして,列や行を付け加えることができます.第
31720 \begin_inset CommandInset ref
31729 \begin_layout Standard
31730 amscd図解とは異なり,xymatricesは,対角矢印や曲がった矢印など多様なサポートをしています.作ることのできる可換図と装飾は,
31732 ヘルプ\SpecialChar menuseparator
31733 用途別説明書\SpecialChar menuseparator
31743 \begin_layout Subsection
31747 \begin_inset Index idx
31750 \begin_layout Plain Layout
31759 \begin_layout Standard
31760 ファインマン図を使うには,\SpecialChar LaTeX
31765 を導入しておかなくてはなりません.すると,ファインマン図は,数式中で
31771 コマンドを挿入すれば生成されます.通常の行列で行うのと同じようにして新規行や新規列を加えることができます(第
31772 \begin_inset CommandInset ref
31781 \begin_layout Standard
31783 でのファインマン図の作り方は,メニュー
31785 ヘルプ\SpecialChar menuseparator
31795 \begin_layout Section
31797 \begin_inset Index idx
31800 \begin_layout Plain Layout
31809 \begin_layout Standard
31810 \begin_inset Note Greyedout
31813 \begin_layout Plain Layout
31814 【註】自己定義コマンド名及びマクロ名には,ラテン文字しか使用することができません.
31822 \begin_layout Subsection
31826 \begin_inset CommandInset label
31828 name "subsec:newcommandコマンド"
31833 \begin_inset Index idx
31836 \begin_layout Plain Layout
31837 じこていぎこまんど@自己定義コマンド !
31845 \begin_inset Index idx
31848 \begin_layout Plain Layout
31859 \begin_layout Standard
31860 頻繁に用いるには,長すぎる\SpecialChar LaTeX
31867 コマンドを使えば,新しい短縮コマンドを定義することが可能です.
31870 \begin_layout Standard
31880 \begin_layout Standard
31885 newcommand{新コマンド名}[引数の数][オプションの値]
31886 \begin_inset Newline newline
31890 \begin_inset Phantom HPhantom
31893 \begin_layout Plain Layout
31906 \begin_layout Standard
31910 \begin_layout Standard
31911 \begin_inset Note Greyedout
31914 \begin_layout Plain Layout
31919 新コマンド名が,使用中の文書や呼び出している\SpecialChar LaTeX
31920 パッケージで,既に使用されていないことを確認して下さい.たとえば,
31939 \begin_inset Formula $\le$
31942 」を表すコマンドとして定義されてしまっているので,エラーメッセージが表示されます.
31950 \begin_layout Standard
31952 \begin_inset space \thinspace{}
31956 \begin_inset space \thinspace{}
31959 9の範囲の整数であり,新コマンドがいくつの引数をとるかを指定するものです.「オプションの値」では,非必須の引数の既定値を定義できます.これを指定すると,新コマン
31964 引数は,自動的に非必須の引数になります.
31967 \begin_layout Standard
31971 \begin_layout Itemize
31984 というコマンドを定義するには,\SpecialChar LaTeX
31986 \begin_inset VSpace medskip
31990 \begin_inset Newline newline
32004 \begin_layout Itemize
32017 というコマンドを定義するには,(下線を引くべき文字列を示す)引数を考慮に入れなくてはなりません.このためには,以下のようなプリアンブル行を入れます.
32018 \begin_inset VSpace medskip
32022 \begin_inset Newline newline
32036 \begin_inset VSpace medskip
32040 \begin_inset Newline newline
32047 」という文字は,引数の入る場所を示し,その後ろの「
32051 」は,これが第1引数の入る場所であることを示します.
32054 \begin_layout Itemize
32068 \begin_inset VSpace medskip
32072 \begin_inset Newline newline
32083 framebox#1#2{$#3$}}
32086 \begin_inset VSpace medskip
32090 \begin_inset Newline newline
32099 が必要とする内部の数式を作り出します.第
32100 \begin_inset CommandInset ref
32102 reference "subsec:枠付きボックス"
32109 \begin_layout Itemize
32116 用の新コマンドを作るには,以下のように,色を示す引数を非必須として定義します.
32117 \begin_inset VSpace medskip
32121 \begin_inset Newline newline
32132 fcolorbox{#2}{#1}{$#3$}}
32135 \begin_inset VSpace medskip
32139 \begin_inset Newline newline
32148 を使うときに色が指定されなければ,事前に定義された色である
32155 \begin_layout Standard
32156 以下は,上で定義したコマンドの動作テストです.
32159 \begin_layout Standard
32161 \begin_inset Tabular
32162 <lyxtabular version="3" rows="6" columns="2">
32163 <features booktabs="true" tabularvalignment="middle">
32164 <column alignment="center" valignment="top" width="0pt">
32165 <column alignment="center" valignment="top">
32167 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
32170 \begin_layout Plain Layout
32176 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
32179 \begin_layout Plain Layout
32187 <cell alignment="center" valignment="top" leftline="true" usebox="none">
32190 \begin_layout Plain Layout
32194 \begin_inset space \textvisiblespace{}
32202 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
32205 \begin_layout Plain Layout
32206 \begin_inset Formula $A\gr B$
32216 <cell alignment="center" valignment="top" leftline="true" usebox="none">
32219 \begin_layout Plain Layout
32227 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
32230 \begin_layout Plain Layout
32231 \begin_inset Formula $\us{ABcd}$
32240 <row topspace="1mm">
32241 <cell alignment="center" valignment="top" usebox="none">
32244 \begin_layout Plain Layout
32248 \begin_inset Formula $\to$
32254 \begin_inset Formula $\to$
32262 \begin_inset space \textvisiblespace{}
32270 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
32273 \begin_layout Plain Layout
32274 \begin_inset Formula $\fb{[2cm]}{}{\int A=B}$
32283 <row topspace="1.5mm">
32284 <cell alignment="center" valignment="top" usebox="none">
32287 \begin_layout Plain Layout
32291 \begin_inset Formula $\to$
32299 \begin_inset space \textvisiblespace{}
32307 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
32310 \begin_layout Plain Layout
32311 \begin_inset Formula $\cb{red}{\int A=B}$
32320 <row topspace="1.5mm" bottomspace="1mm">
32321 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
32324 \begin_layout Plain Layout
32330 \begin_inset Formula $\to$
32338 \begin_inset space \textvisiblespace{}
32346 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
32349 \begin_layout Plain Layout
32350 \begin_inset Formula $\cb[green]{red}{\int A=B}$
32366 \begin_layout Subsection
32368 \begin_inset Index idx
32371 \begin_layout Plain Layout
32372 じこていぎこまんど@自己定義コマンド ! すうしきまくろ@数式マクロ
32378 \begin_inset Index idx
32381 \begin_layout Plain Layout
32390 \begin_layout Standard
32391 自己定義コマンドは,複雑な表現を使うときに特に便利です.たとえば,文書中で二次方程式を扱っているとすると,同じような解の形が何度も出てきます.二次方程式の一般型
32393 \begin_inset Formula
32395 0=\lambda^{2}+p\lambda+q
32401 \begin_inset Formula
32403 \lambda_{1,2}=-\frac{p}{2}\pm\sqrt{\frac{p²}{4}-q}
32411 \begin_layout Standard
32413 \begin_inset Formula $\lambda$
32417 \begin_inset Formula $p$
32421 \begin_inset Formula $q$
32424 の3つのパラメータを指定することが必須であり,
32425 \begin_inset Formula $\lambda$
32428 の指数をオプションとして与えることができるような,解の公式のコマンドを定義するには,以下のような\SpecialChar LaTeX
32430 \begin_inset Newline newline
32446 \begin_inset Newline newline
32450 \begin_inset Phantom HPhantom
32453 \begin_layout Plain Layout
32467 frac{#3^{2}}{4}-#4}}
32470 \begin_layout Standard
32472 \begin_inset Newline newline
32482 \begin_inset Formula $\to$
32488 \begin_inset Formula $\to$
32498 \begin_layout Standard
32499 新コマンドを定義する方法は,たとえば\SpecialChar LaTeX
32506 の形で入れなくてはならないことなど,使用するすべての\SpecialChar LaTeX
32507 コマンドの書式を知っている必要があるので,直感的ではありません.さらに,定義中で中括弧を入れ忘れることはよく
32508 あり,それをやってしまうと,\SpecialChar LyX
32509 からは新コマンドが何をやらかしているか確認しにくくなってしまいます.これらの問題を回避するために,\SpecialChar LyX
32516 コマンドの代わりに,数式マクロを使う方法を提供しています.
32519 \begin_layout Standard
32522 挿入\SpecialChar menuseparator
32523 数式\SpecialChar menuseparator
32529 arg "math-macro newmacroname_newcommand"
32532 で作ることができます.すると,数式マクロツールバーが表示されるとともに,マクロを定義した箇所に以下のようなボックスが現れます.
32533 \begin_inset Newline newline
32537 \begin_inset space \hspace*{\fill}
32541 \begin_inset Graphics
32542 filename clipart/macrobox.png
32548 \begin_inset space \hspace*{\fill}
32552 \begin_inset Newline newline
32556 \begin_inset FormulaMacro
32557 \newcommand{\qG}[4][1,\,2]{#2_{#1}=-\frac{#3}{2}\pm\sqrt{\frac{#3^{2}}{4}-#4}}
32562 newmacronameが既定のマクロ名として現れますが,意味のある名称に変更するべきでしょう.欲しい数式は一つ目の青枠の中に入れます.引数を置く場所は,
32574 というコマンドで入力するか,マクロツールバーボタンの
32577 arg "math-macro-add-param"
32580 を使用します.引数位置は赤で表示されます.引数は,最大で9つまでとることができます.非必須引数は,ツールバーボタンの
32583 arg "math-macro-add-optional-param"
32586 で作ることができます.最初の必須引数は,ツールバーボタンの
32589 arg "math-macro-make-optional"
32592 を使って,非必須引数にすることができます.二つ目の青枠には,\SpecialChar LyX
32593 中でのマクロの表示のしかたを定義することができます.通常は,定義したとおりに表示された方が便利なので
32594 ,この枠は空白にしておきます.しかし,画面の過半を占拠してしまうようなマクロを作ってしまった場合には,たとえばこの枠に
32595 \begin_inset Newline newline
32625 \begin_inset Newline newline
32630 のように入れることができます.このようにすると,マクロ名と引数のみが\SpecialChar LyX
32631 上に表示され,見通しが良くなります.一方,出力での数式は,最初の枠で定義したように表示されま
32633 \begin_inset Newline newline
32636 さらに,数式中のマクロ表示は,マクロの中にカーソルを置いて,
32638 表示\SpecialChar menuseparator
32641 メニューを使うことで,マクロ毎に変えることができます.
32644 \begin_layout Standard
32645 マクロを使うには,数式中にマクロ名をコマンドとして入れます.上記の例では,
32651 とします.このマクロは,\SpecialChar LyX
32653 \begin_inset Newline newline
32657 \begin_inset space \hspace*{\fill}
32661 \begin_inset Graphics
32662 filename ../clipart/macrouse.png
32668 \begin_inset space \hspace*{\fill}
32672 \begin_inset Newline newline
32676 \begin_inset Formula $x$
32680 \begin_inset Formula $\ln(x)$
32684 \begin_inset Formula $B$
32690 \begin_layout Standard
32691 \begin_inset Formula
32701 \begin_layout Standard
32705 ツール\SpecialChar menuseparator
32706 設定\SpecialChar menuseparator
32707 編集\SpecialChar menuseparator
32710 メニューで,マクロを編集するのに複数の様式を用意しています.あなたに最も合った様式を見つけるには,様式を選択してから,違いを見るために数式マクロにカーソルを合わ
32714 \begin_layout Standard
32715 数式マクロは,文書書き出し時に,内部的に
32721 コマンドに変換されます.こうして生成された
32727 コマンドは,\SpecialChar LaTeX
32728 プリアンブルには置かれませんので,マクロは,文書中,マクロ定義ボックスよりも後の数式でのみ使うことができます.
32731 \begin_layout Standard
32738 コマンドから直接作ることもできます.たとえば,\SpecialChar LyX
32742 \begin_inset Newline newline
32751 xleftarrow[#2]{#1}}
32752 \begin_inset Newline newline
32757 というコマンドを書き入れ,この全体を選択して,
32758 \begin_inset Flex Ruby
32761 \begin_layout Plain Layout
32763 \begin_inset Argument post:1
32766 \begin_layout Plain Layout
32781 を押すと,このコマンドは数式マクロに変換されます.この方法を使うに当たっては,
32787 コマンドが正しく入力されていることに気をつけなくてはなりません.さもないと,間違ったマクロが作られてしまって,\SpecialChar LaTeX
32791 \begin_layout Standard
32792 数式マクロには,まだ,マクロ定義中に再帰的に数式を入れてしまうと,正しく処理されないという問題が残っています.したがって,第
32793 \begin_inset CommandInset ref
32795 reference "subsec:newcommandコマンド"
32805 は,マクロとしては作ることができません.
32808 \begin_layout Standard
32809 カーソルがマクロ定義ボックスの中にあるとき,\SpecialChar LyX
32810 中に以下のようなマクロツールバーが表示されます.
32813 \begin_layout Standard
32814 \begin_inset VSpace defskip
32820 \begin_layout Standard
32821 \begin_inset Graphics
32822 filename ../clipart/MacroToolbar.png
32827 \begin_inset Index idx
32830 \begin_layout Plain Layout
32831 まくろ@マクロ ! つーるばー@ツールバー
32839 \begin_layout Standard
32840 \begin_inset VSpace defskip
32846 \begin_layout Standard
32847 マクロツールバーは,左から右に,以下の各ボタンがあります.
32850 \begin_layout Standard
32851 \begin_inset VSpace defskip
32857 \begin_layout Standard
32858 \begin_inset Tabular
32859 <lyxtabular version="3" rows="9" columns="2">
32860 <features islongtable="true" longtabularalignment="center">
32861 <column alignment="left" valignment="top">
32862 <column alignment="left" valignment="top" width="85col%">
32863 <row interlinespace="2.5mm">
32864 <cell alignment="center" valignment="top" usebox="none">
32867 \begin_layout Plain Layout
32870 arg "math-macro-remove-param"
32878 <cell alignment="center" valignment="top" usebox="none">
32881 \begin_layout Plain Layout
32884 編集\SpecialChar menuseparator
32885 数式\SpecialChar menuseparator
32886 マクロ定義\SpecialChar menuseparator
32893 <row interlinespace="2.5mm">
32894 <cell alignment="center" valignment="top" usebox="none">
32897 \begin_layout Plain Layout
32900 arg "math-macro-add-param"
32908 <cell alignment="center" valignment="top" usebox="none">
32911 \begin_layout Plain Layout
32914 編集\SpecialChar menuseparator
32915 数式\SpecialChar menuseparator
32916 マクロ定義\SpecialChar menuseparator
32923 <row interlinespace="2.5mm">
32924 <cell alignment="center" valignment="top" usebox="none">
32927 \begin_layout Plain Layout
32930 arg "math-macro-make-optional"
32938 <cell alignment="center" valignment="top" usebox="none">
32941 \begin_layout Plain Layout
32944 編集\SpecialChar menuseparator
32945 数式\SpecialChar menuseparator
32946 マクロ定義\SpecialChar menuseparator
32948 \begin_inset Newline newline
32952 \begin_inset Phantom HPhantom
32955 \begin_layout Plain Layout
32958 編集\SpecialChar menuseparator
32959 数式\SpecialChar menuseparator
32960 マクロ定義\SpecialChar menuseparator
32972 <row interlinespace="2.5mm">
32973 <cell alignment="center" valignment="top" usebox="none">
32976 \begin_layout Plain Layout
32979 arg "math-macro-make-nonoptional"
32987 <cell alignment="center" valignment="top" usebox="none">
32990 \begin_layout Plain Layout
32993 編集\SpecialChar menuseparator
32994 数式\SpecialChar menuseparator
32995 マクロ定義\SpecialChar menuseparator
32997 \begin_inset Newline newline
33001 \begin_inset Phantom HPhantom
33004 \begin_layout Plain Layout
33007 編集\SpecialChar menuseparator
33008 数式\SpecialChar menuseparator
33009 マクロ定義\SpecialChar menuseparator
33021 <row interlinespace="2.5mm">
33022 <cell alignment="center" valignment="top" usebox="none">
33025 \begin_layout Plain Layout
33028 arg "math-macro-remove-optional-param"
33036 <cell alignment="center" valignment="top" usebox="none">
33039 \begin_layout Plain Layout
33042 編集\SpecialChar menuseparator
33043 数式\SpecialChar menuseparator
33044 マクロ定義\SpecialChar menuseparator
33051 <row interlinespace="2.5mm">
33052 <cell alignment="center" valignment="top" usebox="none">
33055 \begin_layout Plain Layout
33058 arg "math-macro-add-optional-param"
33066 <cell alignment="center" valignment="top" usebox="none">
33069 \begin_layout Plain Layout
33072 編集\SpecialChar menuseparator
33073 数式\SpecialChar menuseparator
33074 マクロ定義\SpecialChar menuseparator
33081 <row interlinespace="2.5mm">
33082 <cell alignment="center" valignment="top" usebox="none">
33085 \begin_layout Plain Layout
33088 arg "math-macro-remove-greedy-param"
33096 <cell alignment="center" valignment="top" usebox="none">
33099 \begin_layout Plain Layout
33102 編集\SpecialChar menuseparator
33103 数式\SpecialChar menuseparator
33104 マクロ定義\SpecialChar menuseparator
33106 \begin_inset Newline newline
33110 \begin_inset Phantom HPhantom
33113 \begin_layout Plain Layout
33116 編集\SpecialChar menuseparator
33117 数式\SpecialChar menuseparator
33118 マクロ定義\SpecialChar menuseparator
33130 <row interlinespace="2.5mm">
33131 <cell alignment="center" valignment="top" usebox="none">
33134 \begin_layout Plain Layout
33137 arg "math-macro-append-greedy-param"
33145 <cell alignment="center" valignment="top" usebox="none">
33148 \begin_layout Plain Layout
33151 編集\SpecialChar menuseparator
33152 数式\SpecialChar menuseparator
33153 マクロ定義\SpecialChar menuseparator
33155 \begin_inset Newline newline
33159 \begin_inset Phantom HPhantom
33162 \begin_layout Plain Layout
33165 編集\SpecialChar menuseparator
33166 数式\SpecialChar menuseparator
33167 マクロ定義\SpecialChar menuseparator
33179 <row interlinespace="2.5mm">
33180 <cell alignment="center" valignment="top" usebox="none">
33183 \begin_layout Plain Layout
33186 arg "math-macro-add-greedy-optional-param"
33194 <cell alignment="center" valignment="top" usebox="none">
33197 \begin_layout Plain Layout
33200 編集\SpecialChar menuseparator
33201 数式\SpecialChar menuseparator
33202 マクロ定義\SpecialChar menuseparator
33204 \begin_inset Newline newline
33208 \begin_inset Phantom HPhantom
33211 \begin_layout Plain Layout
33214 編集\SpecialChar menuseparator
33215 数式\SpecialChar menuseparator
33216 マクロ定義\SpecialChar menuseparator
33235 \begin_layout Section
33239 \begin_layout Standard
33241 では,\SpecialChar LyX
33242 の数式エディタで書かれた数式表現と,外部プログラムやユーザ定義スクリプトとの間のやり取りが可能です.現在サポートされているプログラムは,
33258 です.サポートされている数式表現は,非常に単純なものに限られていますので,ご注意ください.
33261 \begin_layout Subsection
33265 \begin_layout Standard
33268 編集\SpecialChar menuseparator
33269 数式\SpecialChar menuseparator
33272 メニューで,コンピュータに導入済みのプログラムを選択します.その後,計算結果が,数式表現の右に「=」演算子とともに表示されます.
33275 \begin_layout Standard
33276 下記は,どのような計算が可能かをいくつか例示したものです(出力は
33283 \begin_layout Itemize
33284 \begin_inset Formula $\frac{37}{3}*2-\sum_{i=1}^{3}i^{i}=-\frac{22}{3}$
33290 \begin_layout Itemize
33291 \begin_inset Formula $\frac{37.0}{3}=12.33333333333333$
33297 \begin_layout Itemize
33298 \begin_inset Formula $\int_{1}^{2}\sin(x)dx=\cos1-\cos2$
33304 \begin_layout Itemize
33305 \begin_inset Formula $\int\left(\frac{1}{1+x^{3}}\right)dx=-\frac{\log\left(x^{2}-x+1\right)}{6}+\frac{\arctan\left(\frac{2\,x-1}{\sqrt{3}}\right)}{\sqrt{3}}+\frac{\log\left(x+1\right)}{3}$
33309 \begin_inset Newline newline
33313 \begin_inset Note Greyedout
33316 \begin_layout Plain Layout
33321 単純な「(」「)」文字ではなく,適切な区切り差込枠
33322 \begin_inset Formula $\left(\right)$
33333 \begin_layout Itemize
33334 \begin_inset Formula $\det\left[\begin{array}{ccc}
33338 \end{array}\right]=-56$
33344 \begin_layout Itemize
33345 \begin_inset Formula $\lim_{x\rightarrow0}\left(\frac{\sin(x)}{x}\right)=1$
33351 \begin_layout Itemize
33352 \begin_inset Formula $powerseries\left(-\log\left(5-x\right),x,1\right)=\sum_{{\mathit{i}_{2}}=0}^{\infty}{\frac{4^{-{\mathit{i}_{2}}-1}\,\left(x-1\right)^{{\mathit{i}_{2}}+1}}{{\mathit{i}_{2}}+1}}-\log4$
33358 \begin_layout Itemize
33359 \begin_inset Formula $solve\left(x_{1}+y_{1}^{3}=y_{1}+x_{1}^{2},x_{1}\right)=\left[x_{1}=-\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}-1}{2},x_{1}=\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}+1}{2}\right]$
33365 \begin_layout Subsection
33369 \begin_layout Standard
33370 現在のところ,代数プログラムを呼び出すための
33371 \begin_inset Flex Ruby
33374 \begin_layout Plain Layout
33376 \begin_inset Argument post:1
33379 \begin_layout Plain Layout
33395 関数にバインドすることは容易です(取扱説明書『
33407 \begin_inset Flex Ruby
33410 \begin_layout Plain Layout
33412 \begin_inset Argument post:1
33415 \begin_layout Plain Layout
33426 をバインドさせることもできます.それを
33430 にバインドするには,下記の捷径定義コマンドを使用します.
33433 \begin_layout Standard
33436 command-alternatives paragraph-break;math-extern maxima
33439 \begin_layout Section
33441 \begin_inset Index idx
33444 \begin_layout Plain Layout
33453 \begin_layout Subsection
33455 \begin_inset Index idx
33458 \begin_layout Plain Layout
33467 \begin_layout Standard
33468 数式中の負の数は,数の前の負符号が,差演算子記号と同じ長さに設定されてしまうために,汚く見えてしまうことがあります.負の数を通常の文章として書くと,負符号は正し
33472 \begin_layout Standard
33473 したがって,この問題は,負符号を数式テキストに変換することによって,解消されます.
33476 \begin_layout Standard
33480 \begin_layout Standard
33482 \begin_inset Tabular
33483 <lyxtabular version="3" rows="3" columns="2">
33484 <features booktabs="true" tabularvalignment="middle">
33485 <column alignment="right" valignment="top" width="0pt">
33486 <column alignment="left" valignment="top">
33488 <cell alignment="right" valignment="top" topline="true" leftline="true" usebox="none">
33491 \begin_layout Plain Layout
33497 <cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
33500 \begin_layout Plain Layout
33508 <cell alignment="right" valignment="top" leftline="true" usebox="none">
33511 \begin_layout Plain Layout
33517 <cell alignment="center" valignment="top" rightline="true" usebox="none">
33520 \begin_layout Plain Layout
33521 \begin_inset Formula $x=-2$
33531 <cell alignment="right" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
33534 \begin_layout Plain Layout
33540 <cell alignment="center" valignment="top" topline="true" bottomline="true" rightline="true" usebox="none">
33543 \begin_layout Plain Layout
33544 \begin_inset Formula $x=\textrm{-}2$
33560 \begin_layout Subsection
33562 \begin_inset Index idx
33565 \begin_layout Plain Layout
33572 \begin_inset Index idx
33575 \begin_layout Plain Layout
33580 \begin_layout Plain Layout
33591 \begin_layout Plain Layout
33606 \begin_layout Standard
33608 では,英語の慣習にしたがい,数式中のコンマを数字の位区切りに使用します.よって,数式中のコンマの後ろには,つねに空白が加わります.
33611 \begin_layout Standard
33612 これを回避するためには,コンマを選択して,数式テキストに変更して下さい(
33613 \begin_inset Flex Ruby
33616 \begin_layout Plain Layout
33618 \begin_inset Argument post:1
33621 \begin_layout Plain Layout
33641 \begin_layout Standard
33642 文書中の数式コンマを,すべて小数点として使うには,\SpecialChar LaTeX
33646 \begin_layout Standard
33654 \begin_layout Standard
33663 \begin_layout Plain Layout
33668 は,\SpecialChar LaTeX
33674 \begin_inset Index idx
33677 \begin_layout Plain Layout
33682 \begin_layout Plain Layout
33702 \begin_inset Index idx
33705 \begin_layout Plain Layout
33706 ぱっけーじ@パッケージ ! icomma
33714 \begin_layout Subsection
33716 \begin_inset CommandInset label
33718 name "subsec:物理ベクトル"
33723 \begin_inset Index idx
33726 \begin_layout Plain Layout
33728 \begin_inset space \thinspace{}
33739 \begin_layout Standard
33749 \begin_layout Plain Layout
33754 は標準的\SpecialChar LaTeX
33761 \begin_inset Index idx
33764 \begin_layout Plain Layout
33765 ぱっけーじ@パッケージ ! braket
33770 には,定義済みのベクトルが提供されており,
33773 \begin_layout Standard
33781 \begin_layout Standard
33782 という\SpecialChar LaTeX
33783 プリアンブル行で読み込むことができます.
33786 \begin_layout Standard
33790 \begin_layout Plain Layout
33800 \begin_inset Note Note
33803 \begin_layout Plain Layout
33809 パッケージが導入済みのときのみ表示されます.
33817 \begin_layout Standard
33819 \begin_inset Tabular
33820 <lyxtabular version="3" rows="4" columns="2">
33821 <features booktabs="true" tabularvalignment="middle">
33822 <column alignment="center" valignment="top" width="0pt">
33823 <column alignment="center" valignment="top">
33825 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
33828 \begin_layout Plain Layout
33834 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
33837 \begin_layout Plain Layout
33845 <cell alignment="center" valignment="top" usebox="none">
33848 \begin_layout Plain Layout
33858 <cell alignment="center" valignment="top" usebox="none">
33861 \begin_layout Plain Layout
33862 \begin_inset Formula $\Bra{\psi}$
33872 <cell alignment="center" valignment="top" usebox="none">
33875 \begin_layout Plain Layout
33885 <cell alignment="center" valignment="top" usebox="none">
33888 \begin_layout Plain Layout
33889 \begin_inset Formula $\Ket{\psi}$
33899 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
33902 \begin_layout Plain Layout
33914 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
33917 \begin_layout Plain Layout
33918 \begin_inset Formula $\Braket{\psi|\phi}$
33934 \begin_layout Standard
33941 コマンドを使うと,以下のように,すべての縦棒がそれを囲む括弧と同じ大きさに設定されます.
33942 \begin_inset Formula
33944 \Braket{\phi|J=\frac{3}{2}\,,\,M_{J}}
33953 \begin_layout Plain Layout
33963 \begin_inset Note Note
33966 \begin_layout Plain Layout
33972 パッケージが導入されていないときには,以下が表示されます.
33980 \begin_layout Standard
33989 \begin_layout Standard
33993 \begin_layout Plain Layout
34005 \begin_layout Standard
34013 \begin_inset CommandInset ref
34015 reference "subsec:自動の括弧丈"
34025 コマンドを用いることによっても実現できます.
34028 \begin_layout Subsection
34030 \begin_inset CommandInset label
34032 name "subsec:自己定義の分数"
34037 \begin_inset Index idx
34040 \begin_layout Plain Layout
34041 ぶんすう@分数 ! じこていぎの@自己定義の
34049 \begin_layout Standard
34050 分数用の自己定義コマンドを定義するには,以下の書式を持つ
34057 \begin_inset Index idx
34060 \begin_layout Plain Layout
34071 \begin_layout Standard
34076 genfrac{左括弧}{右括弧}{分数線の厚み}{様式}
34077 \begin_inset Newline newline
34081 \begin_inset Phantom HPhantom
34084 \begin_layout Plain Layout
34097 \begin_layout Standard
34099 \begin_inset space \thinspace{}
34103 \begin_inset space \thinspace{}
34109 \begin_layout Standard
34111 \begin_inset Tabular
34112 <lyxtabular version="3" rows="5" columns="2">
34113 <features booktabs="true" tabularvalignment="middle">
34114 <column alignment="center" valignment="top" width="0pt">
34115 <column alignment="center" valignment="top">
34117 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34120 \begin_layout Plain Layout
34126 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34129 \begin_layout Plain Layout
34137 <cell alignment="center" valignment="top" usebox="none">
34140 \begin_layout Plain Layout
34146 <cell alignment="center" valignment="top" usebox="none">
34149 \begin_layout Plain Layout
34157 <cell alignment="center" valignment="top" usebox="none">
34160 \begin_layout Plain Layout
34166 <cell alignment="center" valignment="top" usebox="none">
34169 \begin_layout Plain Layout
34177 <cell alignment="center" valignment="top" usebox="none">
34180 \begin_layout Plain Layout
34186 <cell alignment="center" valignment="top" usebox="none">
34189 \begin_layout Plain Layout
34197 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
34200 \begin_layout Plain Layout
34206 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
34209 \begin_layout Plain Layout
34223 \begin_layout Standard
34230 コマンドのように,大きさは周囲の環境に合わせて調節されます.
34233 \begin_layout Standard
34234 「分数線の厚み」を指定しないときには,既定値である0.4
34235 \begin_inset space \thinspace{}
34241 \begin_layout Standard
34242 \begin_inset VSpace medskip
34246 \begin_inset CommandInset ref
34248 reference "subsec:分数"
34267 \begin_layout Standard
34276 genfrac{}{}{}{0}{#1}{#2}}
34279 \begin_layout Standard
34283 \begin_layout Standard
34292 genfrac{(}{)}{0pt}{1}{#1}{#2}}
34295 \begin_layout Standard
34299 \begin_layout Standard
34300 \begin_inset VSpace medskip
34303 分数線の厚みを非必須の引数として与えることのできる分数を定義するには,\SpecialChar LaTeX
34307 \begin_layout Standard
34316 genfrac{}{}{#1}{}{#2}{#3}}
34319 \begin_layout Standard
34323 \begin_layout Standard
34325 \begin_inset Formula
34327 \text{コマンド} & & \mathrm{\backslash fracS[1mm]\backslash\{A\to\backslash\{B} & & \mathrm{\backslash fracS[5mm]\backslash\{A\to\backslash\{B}\\
34328 \text{出力} & & \fracS[1mm]{A}{B} & & \fracS[5mm]{A}{B}
34333 ご覧になってわかるように,分子や分母から分数線までの距離は,分数線の厚みの約3倍になります.
34336 \begin_layout Subsection
34338 \begin_inset Index idx
34341 \begin_layout Plain Layout
34350 \begin_layout Standard
34351 数式の全体もしくは一部を消去するには,4つの方法があります.
34354 \begin_layout Standard
34359 \begin_layout Plain Layout
34369 \begin_inset Note Note
34372 \begin_layout Plain Layout
34373 下記の表は,\SpecialChar LaTeX
34386 \begin_layout Standard
34388 \begin_inset Tabular
34389 <lyxtabular version="3" rows="5" columns="2">
34390 <features booktabs="true" tabularvalignment="middle">
34391 <column alignment="center" valignment="top" width="0pt">
34392 <column alignment="center" valignment="top">
34394 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34397 \begin_layout Plain Layout
34403 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34406 \begin_layout Plain Layout
34414 <cell alignment="center" valignment="top" usebox="none">
34417 \begin_layout Plain Layout
34421 \begin_inset space \textvisiblespace{}
34427 \begin_inset space \textvisiblespace{}
34435 <cell alignment="center" valignment="top" usebox="none">
34438 \begin_layout Plain Layout
34439 \begin_inset Formula $\cancel{\int A=B}$
34448 <row topspace="1.5mm">
34449 <cell alignment="center" valignment="top" usebox="none">
34452 \begin_layout Plain Layout
34456 \begin_inset space \textvisiblespace{}
34462 \begin_inset space \textvisiblespace{}
34470 <cell alignment="center" valignment="top" usebox="none">
34473 \begin_layout Plain Layout
34474 \begin_inset Formula $\bcancel{\int A=B}$
34483 <row topspace="1.5mm">
34484 <cell alignment="center" valignment="top" usebox="none">
34487 \begin_layout Plain Layout
34491 \begin_inset space \textvisiblespace{}
34497 \begin_inset space \textvisiblespace{}
34505 <cell alignment="center" valignment="top" usebox="none">
34508 \begin_layout Plain Layout
34509 \begin_inset Formula $\xcancel{\int A=B}$
34519 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34522 \begin_layout Plain Layout
34526 \begin_inset space \textvisiblespace{}
34532 \begin_inset space \textvisiblespace{}
34536 \begin_inset Formula $\to$
34544 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34547 \begin_layout Plain Layout
34548 \begin_inset Formula $\cancelto{1}{\int A=B}\hspace{3mm}$
34564 \begin_layout Standard
34571 は,以下のように,とくに数式中の分数の約分を表示するのに適しています.
34572 \begin_inset Formula
34574 \frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto{2}{3}}}=\frac{x_{0}^{2}+B^{2}-r_{g}^{2}}{\cancel{1+b^{2}}}
34582 \begin_layout Standard
34589 の「下付き文字」寸法の大きさを変えるには,
34592 \begin_layout Standard
34597 PassOptionsToPackage{オプション}{cancel}
34600 \begin_layout Standard
34601 という行を\SpecialChar LaTeX
34602 プリアンブルに書き加えてください.ここで,
34610 にすると,取り消した部分と同じ寸法になり,
34614 にすると,通常よりも少し小さくなります.
34617 \begin_layout Standard
34618 取り消し線に色を付けるには,\SpecialChar TeX
34619 コードで以下のコマンドを書き加えてください.
34622 \begin_layout Standard
34634 \begin_layout Standard
34639 は,お好みの色に変更することができます.
34642 \begin_layout Standard
34646 \begin_layout Plain Layout
34662 \begin_layout Standard
34663 \begin_inset Formula
34665 \frac{\left(x_{0}+bB\right)^{2}}{\left(1+b^{2}\right)^{\cancelto{2}{3}}}=\frac{x_{0}^{2}+B^{2}-r_{g}^{2}}{\cancel{1+b^{2}}}
34673 \begin_layout Standard
34677 \begin_layout Plain Layout
34691 \begin_inset Note Note
34694 \begin_layout Plain Layout
34703 \begin_layout Standard
34709 \begin_inset CommandInset citation
34717 \begin_inset Index idx
34720 \begin_layout Plain Layout
34721 ぱっけーじ@パッケージ ! cancel
34729 \begin_layout Standard
34733 \begin_layout Plain Layout
34743 \begin_inset Note Note
34746 \begin_layout Plain Layout
34747 下記の表は,\SpecialChar LaTeX
34760 \begin_layout Standard
34761 本小節の続きを見るには,\SpecialChar LaTeX
34769 \begin_layout Standard
34773 \begin_layout Plain Layout
34785 \begin_layout Subsection
34787 \begin_inset CommandInset label
34789 name "subsec:節見出し中の数式"
34794 \begin_inset Index idx
34797 \begin_layout Plain Layout
34798 すうしき@数式 ! せつみだしちゅうの@節見出し中の
34806 \begin_layout Standard
34807 数式を節見出し中で使う際には,以下のことに留意しなくてはなりません.
34810 \begin_layout Standard
34811 \begin_inset Note Greyedout
34814 \begin_layout Plain Layout
34824 \begin_inset Index idx
34827 \begin_layout Plain Layout
34828 ぱっけーじ@パッケージ ! hyperref
34833 サポートが有効になっている場合,PDFのしおりが,目次にある節見出しすべてに関して生成されます.しおり中に数式を入れることはPDFの慣習に違反しているため,節見
34834 出しに数式が含まれている場合,数式はしおり中に誤った文字列として表示されます.
34842 \begin_layout Standard
34845 挿入\SpecialChar menuseparator
34848 メニューを使って,問題となる節見出しの最後に短縮タイトルを入れることで解決することができます.短縮タイトルは,目次が美しく整形されるように,多行にわたる節見出し
34849 に別名を付けるものです.目次中には,短縮タイトルのみが表示され,したがってPDFしおり中にも短縮タイトルのみが表示されます.
34852 \begin_layout Standard
34853 数式を目次中でも使わなくてもならないが,
34860 \begin_layout Standard
34865 texorpdfstring{部分}{代替文字列}
34866 \begin_inset Index idx
34869 \begin_layout Plain Layout
34880 \begin_layout Standard
34881 というコマンドを\SpecialChar TeX
34885 \begin_layout Standard
34886 「部分」は,見出し中,PDFしおりに表示したくない部分です.これは,文字・数式・脚註のほかに相互参照をとることもできます.しおりには,この部分の代わりに,「代替
34890 \begin_layout Standard
34892 \begin_inset VSpace -3mm
34899 \begin_layout Plain Layout
34911 \begin_layout Subsubsection
34913 \begin_inset Formula $\sqrt{-1}=\mathrm{i}$
34917 \begin_inset Argument 1
34920 \begin_layout Plain Layout
34929 \begin_layout Subsubsection
34934 \begin_layout Plain Layout
34944 \begin_inset Formula $\sqrt{-1}=\mathrm{i}$
34951 \begin_layout Plain Layout
34961 \begin_layout Standard
34965 \begin_layout Plain Layout
34974 一つめの見出しでは短縮タイトルが使われており,二つめの見出しでは
34983 \begin_layout Standard
34984 他の節見出しと同じ書式を得るために,上の見出し全体は
34992 \begin_layout Plain Layout
34994 \begin_inset CommandInset ref
34996 reference "subsec:ボールド体の数式"
35008 \begin_layout Subsection
35010 \begin_inset Index idx
35013 \begin_layout Plain Layout
35014 すうしき@数式 ! ただんくみぶんちゅうの@多段組文中の
35022 \begin_layout Standard
35023 多段組文中に数式を作ると,段の中に収まりきらないことも多く,ページ幅全体に広がるようにする必要があることがあります.これは,
35031 \begin_layout Plain Layout
35036 は,標準的\SpecialChar LaTeX
35043 \begin_inset Index idx
35046 \begin_layout Plain Layout
35047 ぱっけーじ@パッケージ ! multicol
35056 \begin_layout Standard
35061 usepackage{multicol}
35064 \begin_layout Standard
35065 という\SpecialChar LaTeX
35066 プリアンブル行を書いて読み込むことで,実現できます.
35069 \begin_layout Standard
35070 \begin_inset Note Greyedout
35073 \begin_layout Plain Layout
35076 文書\SpecialChar menuseparator
35099 \begin_layout Standard
35103 \begin_layout Standard
35108 begin{multicols}{段数}
35111 \begin_layout Standard
35112 というコマンドを\SpecialChar TeX
35114 \begin_inset space \thinspace{}
35118 \begin_inset space \thinspace{}
35121 10のあいだの数字です.多段組文の終わる数式の前には,
35124 \begin_layout Standard
35132 \begin_layout Standard
35133 というコマンドを\SpecialChar TeX
35137 \begin_layout Standard
35138 このコマンドによって,数式の前にいくらかの余白が,自動的に作られます.これをなくすには,数式の前に-6
35139 \begin_inset space \thinspace{}
35142 mmの垂直空白を入れて下さい.数式様式
35148 \begin_layout Plain Layout
35150 \begin_inset CommandInset ref
35152 reference "sec:数式様式"
35168 \begin_inset space \thinspace{}
35174 \begin_layout Standard
35175 以下は,別行立て数式を含む,多段組文の例です.
35178 \begin_layout Standard
35182 \begin_layout Plain Layout
35186 begin{multicols}{2}
35193 Das Spektrum wird fouriertransformiert.
35194 Die Fouriertransformation wird verwendet, um die überlagerten Signale
35195 (Netzwerk, Lösungsmittel) zu trennen.
35196 Nachdem wir die Phasenverschiebung bestimmen konnten, interessiert uns
35197 nun das Aussehen des Ausgangssignals.
35198 Im Experiment haben wir es mit sehr vielen Teilchen zu tun, so das man
35199 über alle Phasen integrieren muss.
35201 \begin_inset Formula $S$
35204 unser normiertes Ausgangssignal und
35205 \begin_inset Formula $P$
35208 die Phasenverteilungsfunktion, so ergibt sich die Beziehung
35214 \begin_layout Plain Layout
35224 \begin_inset VSpace -6mm
35228 \begin_inset Formula
35230 S(t)=S_{0}(t)\int_{-\infty}^{\infty}P(\phi,t)\mathrm{e}^{\mathrm{i}\phi}\,\mathrm{d}\phi
35239 \begin_layout Plain Layout
35243 begin{multicols}{2}
35251 \begin_inset Formula $S_{0}$
35254 das Signal ohne Gradient ist und die Normierungsbedingung
35255 \begin_inset Formula $\int_{-\infty}^{\infty}P(\phi,t)\,\mathrm{d}\phi=1$
35259 Nun dürfen wir aber nicht den Relaxationsprozess außer Acht lassen.
35261 \begin_inset Formula $\nicefrac{\pi}{2}$
35265 \begin_inset space \thinspace{}
35268 -rf-Puls beginnt sich die Magnetisierung zu entfokussieren, wodurch sich
35269 das Signal zusätzlich abschwächt.
35270 Diese Abschwächung verläuft exponentiell in Abhängigkeit der so genannten
35272 \begin_inset Formula $T_{2}$
35278 \begin_layout Standard
35282 \begin_layout Plain Layout
35294 \begin_layout Subsection
35296 \begin_inset Index idx
35299 \begin_layout Plain Layout
35300 すうしき@数式 ! へんすうのせつめいつき@変数の説明付き
35308 \begin_layout Standard
35309 \begin_inset CommandInset ref
35311 reference "eq:within"
35315 式のように,数式内で変数の説明をするには,
35316 \begin_inset Formula $n$
35319 個の変数が使われている場合,左寄せの列を持つ
35320 \begin_inset Formula $2\times n$
35327 \begin_layout Plain Layout
35329 \begin_inset CommandInset ref
35340 .説明を小さな文字にするには,行列の前に,たとえば
35350 \begin_layout Plain Layout
35352 \begin_inset CommandInset ref
35354 reference "subsec:書体寸法"
35366 \begin_layout Standard
35373 \begin_layout Plain Layout
35375 \begin_inset CommandInset ref
35377 reference "sec:数式様式"
35388 を使っている場合,行列を数式とページ余白から等距離に置くために,行列の前後に
35398 \begin_layout Plain Layout
35410 \begin_inset CommandInset ref
35412 reference "subsec:可変長の空白"
35424 \begin_layout Standard
35429 を使っている場合,数式を字下げするには,第
35430 \begin_inset CommandInset ref
35432 reference "subsec:flalign環境"
35437 \begin_inset CommandInset ref
35439 reference "eq:within"
35443 式には5列があり,最初の2列には数式,3列めには行列,最終列には空の\SpecialChar TeX
35445 \begin_inset Formula
35447 \hspace{30pt}F_{A} & =\rho·V·g & \footnotesize\begin{array}{ll}
35448 \rho & \textrm{density}\\
35449 V & \textrm{volume}\\
35450 g & \textrm{gravitational acceleration}
35451 \end{array} & & {}\label{eq:within}
35459 \begin_layout Subsection
35461 \begin_inset CommandInset label
35463 name "subsec:アップライト体ギリシャ小文字"
35468 \begin_inset Index idx
35471 \begin_layout Plain Layout
35472 ぎりしゃもじ@ギリシャ文字 ! あっぷらいとたい@アップライト体
35480 \begin_layout Standard
35481 ほとんどの数式書体は,イタリック体のギリシャ小文字しか提供していません.しかし,
35482 \begin_inset Formula $\pi$
35485 中間子やニュートリノのような素粒子の記号には,アップライト体のギリシャ文字が必要とされます.
35493 \begin_layout Plain Layout
35503 \begin_inset Index idx
35506 \begin_layout Plain Layout
35511 \begin_layout Plain Layout
35532 \begin_inset Index idx
35535 \begin_layout Plain Layout
35536 ぱっけーじ@パッケージ ! upgreek
35544 \begin_layout Standard
35549 usepackage{upgreek}
35552 \begin_layout Standard
35553 という\SpecialChar LaTeX
35554 プリアンブル行で読み込めば,これらが提供されるようになります.
35558 \begin_layout Plain Layout
35568 \begin_inset Note Note
35571 \begin_layout Plain Layout
35577 パッケージが導入済みのときのみ表示されます.
35582 アップライト体のギリシャ小文字は,ギリシャ小文字のコマンド名の前に
35586 を付けると作ることができます.たとえば
35593 \begin_inset Formula $\uptau$
35599 \begin_layout Standard
35600 これらのコマンドを使えば,以下のような素粒子の反応を組版することができるようになります.
35601 \begin_inset Formula
35603 \uppi^{+}\to\upmu^{+}+\upnu_{\upmu}
35611 \begin_layout Standard
35612 アップライト体の文字は,イタリック体のものよりも太く幅広です.したがって,これらを「
35613 \begin_inset Formula $\mu m$
35616 」のような単位に使うべきではありません.
35619 \begin_layout Standard
35623 \begin_layout Plain Layout
35633 \begin_inset Note Note
35636 \begin_layout Plain Layout
35642 パッケージが導入されていないときのみ表示されます.
35650 \begin_layout Standard
35659 \begin_layout Standard
35663 \begin_layout Plain Layout
35675 \begin_layout Subsection
35677 \begin_inset Index idx
35680 \begin_layout Plain Layout
35681 てきすと @ テキスト ! すうしきちゅうの @ 数式中の
35689 \begin_layout Standard
35690 折にふれて,テキスト文字を直接数式中に入れたいときがあるでしょう.たとえば,中黒「·」を
35691 \begin_inset Formula $\nu=5·10^{5}\,\mathrm{Hz}$
35694 のように数式中で頻繁に用いようとすると,この中黒はすべてのエンコーディングでテキスト文字として定義されているために,代わりに
35704 \begin_layout Plain Layout
35706 \begin_inset CommandInset ref
35708 reference "subsec:二項演算子"
35717 コマンドを挿入しなくてはならなくなることでしょう.しかし,
35720 \begin_layout Standard
35725 Declare Inputtext{183}{
35735 f\SpecialChar ligaturebreak
35739 \begin_layout Standard
35740 という\SpecialChar LaTeX
35741 プリアンブル行を使えば,エンコーディングに変更を加えることができます.
35744 \begin_layout Standard
35747 文書\SpecialChar menuseparator
35748 設定\SpecialChar menuseparator
35752 \begin_inset Flex Ruby
35755 \begin_layout Plain Layout
35757 \begin_inset Argument post:1
35760 \begin_layout Plain Layout
35771 が押されたときにどの文字が表示されるかを指定します.「·」文字に対応する鍵が押されると,内部的には
35777 コマンドが使用されます.しかし,このコマンドは数式中では使えないので,\SpecialChar LaTeX
35778 エラーが発生するのです.変更後のエンコーディングでは,文字が数式中に挿入されたか否かによっ
35779 て,正しいコマンドが自動的に選択されます.
35782 \begin_layout Standard
35783 定義ファイル中には,複数の文字のエンコーディングが保管されています.たとえば,
35787 エンコーディングは,\SpecialChar LaTeX
35792 ファイルに定義されています.エンコーディングは,\SpecialChar LaTeX
35793 プリアンブルで変更するべきであって,定義ファイルを変更してはなりません.さもないと,自分の作成した文書は,他のコ
35794 ンピューターで作業をしている他のユーザーによっては編集することができなくなってしまいます.
35797 \begin_layout Standard
35798 \begin_inset VSpace medskip
35802 \begin_inset Formula $^{\circ}$
35805 」が,数式に直接入れることができるよう,以下のような\SpecialChar LaTeX
35810 \begin_layout Plain Layout
35811 【訳註】p\SpecialChar LaTeX
35812 では,これらの定義は必要ないので,コメントアウトして無効にしてあります.
35820 \begin_layout Standard
35825 DeclareInputtext{176}{
35835 f\SpecialChar ligaturebreak
35839 \begin_layout Subsection
35840 数式中の\SpecialChar LaTeX
35842 \begin_inset Index idx
35845 \begin_layout Plain Layout
35846 L atexこめんと@\SpecialChar LaTeX
35855 \begin_layout Standard
35856 本文中では,ファイルの\SpecialChar LaTeX
35857 ソースコードでのみ見ることのできるコメントを,
35861 \SpecialChar menuseparator
35866 \SpecialChar menuseparator
35871 メニューで挿入することができます.これと同じことは,数式中ではできませんが,
35874 \begin_layout Standard
35882 \begin_layout Standard
35883 というコマンドを使えば,\SpecialChar LaTeX
35884 コメントを挿入することができます.このコマンドを打ち込むと,コメントを書き込むことのできるボックスが生成されます.\SpecialChar LyX
35889 \begin_layout Plain Layout
35890 \begin_inset CommandInset href
35892 name "LyX-bug #9002"
35893 target "https://www.lyx.org/trac/ticket/9002"
35903 ,コメント中に,通常の本文や数式内本文そのものを書くことはできませんが,\SpecialChar LaTeX
35904 出力中に,\SpecialChar LaTeX
35908 \begin_inset Newline newline
35913 下記は,\SpecialChar LaTeX
35915 \begin_inset Formula
35917 A=B%\text{これはコメントです。}
35925 \begin_layout Section
35928 \begin_inset Index idx
35931 \begin_layout Plain Layout
35932 くみばんじょうのじょげん@組版上の助言
35940 \begin_layout Standard
35941 この節は,ISO規範に掲げてある,もっとも重要な組版ルールの要約です
35945 \begin_layout Plain Layout
35946 この要約の一部は,ISO規則を取り上げている「Duden」
35947 \begin_inset CommandInset citation
35954 と呼ばれるドイツの半公的辞書から採られています.
35962 \begin_layout Itemize
35963 物理単位は,つねに(イタリック文中にあるときも)アップライト体にします
35967 \begin_layout Plain Layout
35969 \begin_inset CommandInset ref
35971 reference "subsec:書体様式"
35981 \begin_inset space \thinspace{}
35985 \begin_inset Newline newline
35988 値と単位の間には,最小空白を入れます.第
35989 \begin_inset CommandInset ref
35991 reference "subsec:定義済みの空白"
35996 \begin_inset Newline newline
36005 コマンドを使用すると,つねに満たされます.このコマンドを数式に入れると,二つの枠が現れます.最初の枠には値をいれ,第二の枠に単位を入れると,上記と同じような結果
36007 \begin_inset Formula $\unit[30]{km/h}$
36011 \begin_inset space \thinspace{}
36020 は,\SpecialChar LaTeX
36027 というコマンドです.したがって,これを\SpecialChar TeX
36031 \begin_layout Itemize
36032 百分率記号と千分率記号は,物理単位と同様に組みます:
36033 \begin_inset Newline newline
36037 \begin_inset space \thinspace{}
36043 \begin_layout Itemize
36045 \begin_inset Formula $15^{\circ}$
36048 .しかし,単位として用いられるときは別です:15
36049 \begin_inset space \thinspace{}
36053 \begin_inset Formula $^{\circ}\negmedspace\mbox{C}$
36059 \begin_layout Itemize
36060 4桁以上の数は,3桁ごとに最小空白を直前に挿入して,グループ化します:18
36061 \begin_inset space \thinspace{}
36065 \begin_inset space \thinspace{}
36071 \begin_layout Itemize
36072 \begin_inset Formula $120\times90\times40$
36076 \begin_inset space \thinspace{}
36080 \begin_inset Formula $\times$
36091 挿入\SpecialChar menuseparator
36092 特殊文字\SpecialChar menuseparator
36098 \begin_layout Itemize
36099 いくつかの文字を含む関数名は,混乱を防ぐためにアップライト体にします.第
36100 \begin_inset CommandInset ref
36102 reference "subsec:定義済み函数"
36109 \begin_layout Itemize
36110 複数の文字を含む指数は,アップライト体にします:
36111 \begin_inset Formula $E_{\mathrm{kin}}$
36115 \begin_inset Newline newline
36119 \begin_inset Formula $\hat{H}_{kl}$
36125 \begin_layout Itemize
36126 微分作用素・積分作用素「d」,オイラー数「e」,虚数単位「i」は,他の変数と間違えることを避けるために,アップライト体にします.
36129 \begin_layout Itemize
36139 \begin_inset space \textvisiblespace{}
36145 \begin_inset Index idx
36148 \begin_layout Plain Layout
36158 挿入\SpecialChar menuseparator
36159 特殊文字\SpecialChar menuseparator
36160 記号\SpecialChar menuseparator
36164 \begin_inset Formula $\mathscr{F}$
36170 \begin_layout Standard
36171 \begin_inset Newpage newpage
36177 \begin_layout Section
36179 \begin_inset Index idx
36182 \begin_layout Plain Layout
36191 \begin_layout Standard
36192 いくつかの文字や記号は,複数のコマンドから作ることができます.以下は,同義のコマンドの一覧です.
36195 \begin_layout Standard
36196 \begin_inset VSpace bigskip
36200 \begin_inset space \hfill{}
36204 \begin_inset Tabular
36205 <lyxtabular version="3" rows="12" columns="2">
36206 <features booktabs="true" tabularvalignment="middle">
36207 <column alignment="center" valignment="top" width="0pt">
36208 <column alignment="center" valignment="top" width="0pt">
36210 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
36213 \begin_layout Plain Layout
36219 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
36222 \begin_layout Plain Layout
36230 <cell alignment="center" valignment="top" usebox="none">
36233 \begin_layout Plain Layout
36241 <cell alignment="center" valignment="top" usebox="none">
36244 \begin_layout Plain Layout
36252 <cell alignment="center" valignment="top" usebox="none">
36255 \begin_layout Plain Layout
36263 <cell alignment="center" valignment="top" usebox="none">
36266 \begin_layout Plain Layout
36276 <cell alignment="center" valignment="top" usebox="none">
36279 \begin_layout Plain Layout
36287 <cell alignment="center" valignment="top" usebox="none">
36290 \begin_layout Plain Layout
36300 <cell alignment="center" valignment="top" usebox="none">
36303 \begin_layout Plain Layout
36311 <cell alignment="center" valignment="top" usebox="none">
36314 \begin_layout Plain Layout
36322 <cell alignment="center" valignment="top" usebox="none">
36325 \begin_layout Plain Layout
36333 <cell alignment="center" valignment="top" usebox="none">
36336 \begin_layout Plain Layout
36344 <cell alignment="center" valignment="top" usebox="none">
36347 \begin_layout Plain Layout
36355 <cell alignment="center" valignment="top" usebox="none">
36358 \begin_layout Plain Layout
36368 <cell alignment="center" valignment="top" usebox="none">
36371 \begin_layout Plain Layout
36379 <cell alignment="center" valignment="top" usebox="none">
36382 \begin_layout Plain Layout
36392 <cell alignment="center" valignment="top" usebox="none">
36395 \begin_layout Plain Layout
36403 <cell alignment="center" valignment="top" usebox="none">
36406 \begin_layout Plain Layout
36416 <cell alignment="center" valignment="top" usebox="none">
36419 \begin_layout Plain Layout
36427 <cell alignment="center" valignment="top" usebox="none">
36430 \begin_layout Plain Layout
36440 <cell alignment="center" valignment="top" usebox="none">
36443 \begin_layout Plain Layout
36451 <cell alignment="center" valignment="top" usebox="none">
36454 \begin_layout Plain Layout
36462 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
36465 \begin_layout Plain Layout
36473 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
36476 \begin_layout Plain Layout
36488 \begin_inset space \hfill{}
36492 \begin_inset Tabular
36493 <lyxtabular version="3" rows="12" columns="2">
36494 <features booktabs="true" tabularvalignment="middle">
36495 <column alignment="center" valignment="top" width="0pt">
36496 <column alignment="center" valignment="top" width="0pt">
36498 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
36501 \begin_layout Plain Layout
36507 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
36510 \begin_layout Plain Layout
36518 <cell alignment="center" valignment="top" usebox="none">
36521 \begin_layout Plain Layout
36529 <cell alignment="center" valignment="top" usebox="none">
36532 \begin_layout Plain Layout
36544 <cell alignment="center" valignment="top" usebox="none">
36547 \begin_layout Plain Layout
36555 <cell alignment="center" valignment="top" usebox="none">
36558 \begin_layout Plain Layout
36568 <cell alignment="center" valignment="top" usebox="none">
36571 \begin_layout Plain Layout
36579 <cell alignment="center" valignment="top" usebox="none">
36582 \begin_layout Plain Layout
36592 <cell alignment="center" valignment="top" usebox="none">
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