1 #LyX 2.3 created this file. For more info see http://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,
31 %\AtBeginDocument{\renewcommand{\ref}[1]{\mbox{\autoref{#1}}}}
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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
41 \@ifundefined{textcolor}{\usepackage{color}}{}
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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56 \setlength{\extrarowheight}{0.5mm}
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
77 % define a color, used in sec.9.3
78 \definecolor{darkgreen}{cmyk}{0.5, 0, 1, 0.5}
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}
86 \newcommand{\us}[1]{\underline{#1}}
87 \newcommand{\fb}[3]{\framebox#1#2{$#3$}}
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
126 \IfFileExists{cancel.sty}
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
145 \use_default_options true
149 \maintain_unincluded_children false
151 InsetLayout Flex:Ruby
157 Decoration Conglomerate
160 MenuString "ルビ文(S)|S"
161 Decoration Conglomerate
171 \IfFileExists{okumacro.sty}
172 {\usepackage{okumacro}}
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192 \use_dash_ligatures false
194 \default_output_format default
196 \bibtex_command default
197 \index_command default
198 \paperfontsize default
201 \pdf_title "LyX's Math Manual"
202 \pdf_author "LyX Team, Uwe Stohr"
203 \pdf_subject "LyX-documentation about math"
204 \pdf_keywords "LyX, Mathed"
206 \pdf_bookmarksnumbered true
207 \pdf_bookmarksopen true
208 \pdf_bookmarksopenlevel 1
209 \pdf_breaklinks false
213 \pdf_pdfusetitle false
214 \pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue, pdfpagelayout=OneColumn, pdfnewwindow=true, pdfstartview=XYZ, plainpages=false"
217 \use_package amsmath 2
218 \use_package amssymb 2
219 \use_package cancel 1
221 \use_package mathdots 1
222 \use_package mathtools 2
223 \use_package mhchem 1
224 \use_package stackrel 1
225 \use_package stmaryrd 1
226 \use_package undertilde 0
228 \cite_engine_type default
232 \paperorientation portrait
237 \notefontcolor #0000ff
248 \paragraph_separation skip
251 \math_numbering_side default
252 \quotes_style english
256 \paperpagestyle plain
257 \tracking_changes false
258 \output_changes false
261 \html_be_strict false
277 \begin_layout Plain Layout
279 コメントや誤りの修正などがございましたら,\SpecialChar LyX
283 \begin_inset CommandInset href
285 name "lyx-docs@lists.lyx.org"
286 target "lyx-docs@lists.lyx.org?subject=LyX's Math manual"
300 \begin_inset Note Note
303 \begin_layout Plain Layout
310 \begin_inset Newline newline
314 \begin_inset Newline newline
322 \begin_layout Standard
323 \begin_inset CommandInset toc
324 LatexCommand tableofcontents
331 \begin_layout Standard
332 \begin_inset Note Note
335 \begin_layout Plain Layout
336 この文書をPDFやPS,DVIに書き出すには,\SpecialChar LaTeX
365 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,
369 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.
372 \begin_layout Plain Layout
374 \begin_inset Newline newline
379 http://wiki.lyx.org/\SpecialChar LyX
381 \begin_inset Newline newline
394 \begin_layout Standard
395 \begin_inset Newpage newpage
401 \begin_layout Section
405 \begin_layout Standard
406 この文書は,\SpecialChar LyX
407 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
408 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
413 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.
416 \begin_layout Standard
417 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,
419 挿入\SpecialChar menuseparator
426 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
427 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.
430 \begin_layout Standard
431 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(
433 文書\SpecialChar menuseparator
434 設定\SpecialChar menuseparator
445 \begin_layout Plain Layout
450 オプションは,\SpecialChar LyX
451 でサポートされている数式要素が見つかったときのみ,
455 \begin_layout Plain Layout
472 \begin_layout Standard
473 説明を明瞭にするために,この文書はすべての
477 \begin_layout Plain Layout
490 \begin_layout Plain Layout
495 \begin_layout Plain Layout
507 \begin_inset CommandInset href
510 target "http://mirrors.ctan.org/macros/amstex/doc/amsguide.pdf"
517 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
526 \begin_layout Section
530 \begin_layout Standard
532 \begin_inset Index idx
535 \begin_layout Plain Layout
536 すうしき @ 数式 ! ぎょうない @ 行内
542 \begin_inset Flex Ruby
545 \begin_layout Plain Layout
547 \begin_inset Argument post:1
550 \begin_layout Plain Layout
567 のうちのいずれか,あるいはツールバーボタン
574 \begin_inset Newline newline
577 大きく別の段落として表示される別行立て数式
578 \begin_inset Index idx
581 \begin_layout Plain Layout
582 すうしき @ 数式 ! べつぎょうだてようしき @ 別行立て様式
596 \begin_layout Standard
597 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
605 編集\SpecialChar menuseparator
606 数式\SpecialChar menuseparator
609 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.
612 \begin_layout Standard
613 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,
618 \begin_inset Index idx
621 \begin_layout Plain Layout
633 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.
636 \begin_layout Standard
637 表の中では,行内数式のみの使用が許されています.
640 \begin_layout Standard
647 表示\SpecialChar menuseparator
650 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,
654 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,
658 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「
662 \begin_layout Standard
665 \begin_inset Index idx
668 \begin_layout Plain Layout
669 T exもーど@\SpecialChar TeX
683 挿入\SpecialChar menuseparator
693 \begin_inset Note Note
696 \begin_layout Plain Layout
698 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
701 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
711 \begin_layout Standard
714 \begin_inset Index idx
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718 L atexぷりあんぶる@\SpecialChar LaTeX
726 文書\SpecialChar menuseparator
727 設定\SpecialChar menuseparator
733 \begin_layout Standard
734 行列や場合分け,多行数式を続けて編集するには,
736 編集\SpecialChar menuseparator
741 編集\SpecialChar menuseparator
744 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
745 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.
748 \begin_layout Standard
753 \begin_layout Plain Layout
761 \begin_inset CommandInset ref
763 reference "subsec:多行数式中のテキスト"
777 \begin_inset Index idx
780 \begin_layout Plain Layout
781 てきすと @ テキスト ! すうしきちゅうの @ 数式中の
787 \begin_inset Index idx
790 \begin_layout Plain Layout
809 \begin_inset Index idx
812 \begin_layout Plain Layout
820 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
821 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
822 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.
825 \begin_layout Subsection*
829 \begin_layout Standard
830 数式要素に使われるほとんどの\SpecialChar LaTeX
831 コマンドは,以下のような構成になっています.
834 \begin_layout Standard
842 \begin_layout Standard
849 」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
851 \begin_inset Index idx
854 \begin_layout Plain Layout
855 T exかっこ@\SpecialChar TeX
861 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
862 は自動的に\SpecialChar TeX
869 コマンドを使えば,つねに\SpecialChar TeX
870 括弧を生成することができます.\SpecialChar LyX
871 中で,青字で表示される通常の括弧とは違って,\SpecialChar TeX
872 括弧は赤字で表示されます.\SpecialChar TeX
873 モード中では,\SpecialChar TeX
875 コマンドは必要としません.また,\SpecialChar TeX
879 \begin_layout Standard
880 記号のコマンドのように引数のないコマンドを\SpecialChar TeX
881 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
885 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
889 \begin_layout Standard
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897 \begin_inset Flex Ruby
900 \begin_layout Plain Layout
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919 \begin_layout Subsection*
920 \begin_inset Newpage newpage
926 \begin_layout Itemize
928 \begin_inset space \textvisiblespace{}
934 \begin_layout Itemize
935 \begin_inset Formula $\to$
938 のような矢印は,キーボードから対応する矢印
939 \begin_inset Flex Ruby
942 \begin_layout Plain Layout
944 \begin_inset Argument post:1
947 \begin_layout Plain Layout
961 \begin_layout Subsection*
965 \begin_layout Standard
967 \begin_inset Float table
973 \begin_layout Plain Layout
975 \begin_inset Caption Standard
977 \begin_layout Plain Layout
978 \begin_inset CommandInset label
992 \begin_layout Plain Layout
995 <lyxtabular version="3" rows="13" columns="2">
996 <features booktabs="true" tabularvalignment="middle">
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1136 <cell alignment="center" valignment="top" usebox="none">
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1164 <cell alignment="center" valignment="top" usebox="none">
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1173 <cell alignment="center" valignment="top" usebox="none">
1176 \begin_layout Plain Layout
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1195 \begin_layout Plain Layout
1201 <cell alignment="center" valignment="top" usebox="none">
1204 \begin_layout Plain Layout
1206 \begin_inset Formula $\,$
1210 \begin_inset Formula $\approx$
1214 \begin_inset Formula $\,$
1224 <cell alignment="center" valignment="top" usebox="none">
1227 \begin_layout Plain Layout
1233 <cell alignment="center" valignment="top" usebox="none">
1236 \begin_layout Plain Layout
1238 \begin_inset Formula $\,$
1242 \begin_inset Formula $\,$
1252 <cell alignment="center" valignment="top" usebox="none">
1255 \begin_layout Plain Layout
1261 <cell alignment="center" valignment="top" usebox="none">
1264 \begin_layout Plain Layout
1272 <cell alignment="center" valignment="top" usebox="none">
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1284 \begin_layout Plain Layout
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1304 \begin_layout Plain Layout
1306 \begin_inset space \thinspace{}
1310 \begin_inset Formula $\nicefrac{1}{18}$
1314 \begin_inset space \thinspace{}
1335 \begin_layout Standard
1336 \begin_inset Newpage newpage
1342 \begin_layout Section
1346 \begin_layout Subsection
1348 \begin_inset Index idx
1351 \begin_layout Plain Layout
1358 \begin_inset Index idx
1361 \begin_layout Plain Layout
1368 \begin_inset Index idx
1371 \begin_layout Plain Layout
1376 \begin_layout Plain Layout
1387 \begin_layout Plain Layout
1400 \begin_inset Index idx
1403 \begin_layout Plain Layout
1408 \begin_layout Plain Layout
1419 \begin_layout Plain Layout
1434 \begin_layout Standard
1435 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
1438 arg "math-subscript"
1441 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
1444 arg "math-superscript"
1450 \begin_layout Standard
1452 \begin_inset Tabular
1453 <lyxtabular version="3" rows="4" columns="2">
1454 <features booktabs="true" tabularvalignment="middle">
1455 <column alignment="center" valignment="top" width="0pt">
1456 <column alignment="center" valignment="top" width="0pt">
1458 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
1461 \begin_layout Plain Layout
1467 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
1470 \begin_layout Plain Layout
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" usebox="none">
1504 \begin_layout Plain Layout
1510 <cell alignment="center" valignment="top" usebox="none">
1513 \begin_layout Plain Layout
1514 \begin_inset Formula $B^{V}$
1523 <row topspace="1.5mm">
1524 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
1527 \begin_layout Plain Layout
1529 \begin_inset space \textvisiblespace{}
1537 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
1540 \begin_layout Plain Layout
1541 \begin_inset Formula $B^{A}$
1557 \begin_layout Standard
1558 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
1563 \begin_layout Plain Layout
1564 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.
1569 .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
1576 \begin_layout Subsection
1578 \begin_inset CommandInset label
1585 \begin_inset Index idx
1588 \begin_layout Plain Layout
1597 \begin_layout Standard
1605 \begin_inset Index idx
1608 \begin_layout Plain Layout
1619 arg "math-insert \\frac"
1622 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
1625 arg "math-insert \\frac-square"
1628 を使えば,分数の種類を選ぶことができます.
1631 \begin_layout Standard
1639 \begin_inset Index idx
1642 \begin_layout Plain Layout
1650 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
1657 \begin_inset Index idx
1660 \begin_layout Plain Layout
1668 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.
1671 \begin_layout Standard
1679 \begin_inset Formula $\frac{1}{2}$
1685 \begin_layout Standard
1693 \begin_inset Formula $\dfrac{1}{2}$
1699 \begin_layout Standard
1701 \begin_inset Tabular
1702 <lyxtabular version="3" rows="4" columns="2">
1703 <features booktabs="true" tabularvalignment="middle">
1704 <column alignment="center" valignment="top" width="0pt">
1705 <column alignment="center" valignment="top" width="0pt">
1707 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
1710 \begin_layout Plain Layout
1716 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
1719 \begin_layout Plain Layout
1726 <row topspace="1.5mm">
1727 <cell alignment="center" valignment="top" usebox="none">
1730 \begin_layout Plain Layout
1734 \begin_inset space \textvisiblespace{}
1738 \begin_inset Formula $\downarrow$
1746 <cell alignment="center" valignment="top" usebox="none">
1749 \begin_layout Plain Layout
1750 \begin_inset Formula $\frac{A}{B}$
1759 <row topspace="2mm">
1760 <cell alignment="center" valignment="top" usebox="none">
1763 \begin_layout Plain Layout
1767 \begin_inset space \textvisiblespace{}
1771 \begin_inset Formula $\downarrow$
1779 <cell alignment="center" valignment="top" usebox="none">
1782 \begin_layout Plain Layout
1783 \begin_inset Formula $\dfrac{A}{B}$
1792 <row topspace="2mm" bottomspace="1mm">
1793 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
1796 \begin_layout Plain Layout
1800 \begin_inset space \textvisiblespace{}
1806 \begin_inset space \textvisiblespace{}
1810 \begin_inset Formula $\downarrow$
1814 \begin_inset Formula $\downarrow\downarrow$
1822 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
1825 \begin_layout Plain Layout
1826 \begin_inset Formula $\dfrac{e^{\frac{1}{2}}}{3}$
1842 \begin_layout Standard
1843 \begin_inset VSpace bigskip
1847 \begin_inset Newpage newpage
1857 \begin_inset Index idx
1860 \begin_layout Plain Layout
1869 \begin_inset VSpace -3mm
1875 \begin_layout Standard
1876 \begin_inset Formula
1878 \textrm{\textbf{\textbackslash frac}を使用して作成} & & \textrm{\textbf{\textbackslash cfrac}を使用して作成}\\
1879 \frac{A}{B+\frac{C+\frac{E}{F}}{D}} & & \cfrac{A}{B+\cfrac{C+\cfrac{E}{F}}{D}}
1887 \begin_layout Standard
1891 \begin_layout Standard
1900 \begin_layout Plain Layout
1910 \begin_inset Formula $\downarrow$
1919 \begin_layout Plain Layout
1934 \begin_layout Plain Layout
1944 \begin_inset Formula $\downarrow$
1948 \begin_inset Formula $\downarrow$
1954 \begin_layout Standard
1958 \begin_layout Standard
1959 \begin_inset VSpace medskip
1965 \begin_layout Standard
1972 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.
1975 \begin_layout Standard
1976 分子の揃え方は,指定することができます.
1994 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.
1997 \begin_inset Formula
1999 \cfrac[l]{A}{B+C}\,,\,\cfrac{A}{B+C}\,,\,\cfrac[r]{A}{B+C}
2007 \begin_layout Standard
2008 \begin_inset Note Greyedout
2011 \begin_layout Plain Layout
2024 は,生粋の\SpecialChar LaTeX
2031 です.したがって,これらを\SpecialChar TeX
2040 \begin_layout Standard
2041 \begin_inset VSpace medskip
2057 \begin_inset Formula
2059 \cfrac{A}{B+\cfrac{C+\frac{E}{F}}{D}}
2067 \begin_layout Standard
2068 斜めの分数線を持つ行内分数を作るには,コマンド
2075 \begin_inset Index idx
2078 \begin_layout Plain Layout
2087 \begin_inset Formula $\nicefrac{5}{31}$
2097 \begin_inset Index idx
2100 \begin_layout Plain Layout
2109 \begin_inset Formula $\unitfrac{5}{31}$
2113 \begin_inset Formula $\unitfrac[2]{1}{3}$
2125 \begin_layout Standard
2126 \begin_inset Note Greyedout
2129 \begin_layout Plain Layout
2140 は生粋の\SpecialChar LaTeX
2142 \begin_inset Newline newline
2149 unitfrac[自然数]{分子}{分母}
2151 というコマンドなので,\SpecialChar TeX
2160 \begin_layout Standard
2161 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
2162 \begin_inset CommandInset ref
2164 reference "subsec:自己定義の分数"
2171 \begin_layout Standard
2173 \begin_inset CommandInset ref
2175 reference "subsec:多行にわたる分数"
2182 \begin_layout Subsection
2184 \begin_inset Index idx
2187 \begin_layout Plain Layout
2194 \begin_inset Index idx
2197 \begin_layout Plain Layout
2202 \begin_layout Plain Layout
2213 \begin_layout Plain Layout
2228 \begin_layout Standard
2236 \begin_inset Index idx
2239 \begin_layout Plain Layout
2250 arg "math-insert \\sqrt"
2253 で作成することができ,他のすべての根号は,コマンド
2260 \begin_inset Index idx
2263 \begin_layout Plain Layout
2274 arg "math-insert \\root"
2280 \begin_layout Standard
2282 \begin_inset Tabular
2283 <lyxtabular version="3" rows="3" columns="2">
2284 <features booktabs="true" tabularvalignment="middle">
2285 <column alignment="center" valignment="top" width="0pt">
2286 <column alignment="center" valignment="top" width="0pt">
2288 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2291 \begin_layout Plain Layout
2297 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2300 \begin_layout Plain Layout
2307 <row topspace="1mm">
2308 <cell alignment="center" valignment="top" usebox="none">
2311 \begin_layout Plain Layout
2315 \begin_inset space \textvisiblespace{}
2323 <cell alignment="center" valignment="top" usebox="none">
2326 \begin_layout Plain Layout
2327 \begin_inset Formula $\sqrt{A-B}$
2336 <row topspace="1mm">
2337 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2340 \begin_layout Plain Layout
2344 \begin_inset space \textvisiblespace{}
2348 \begin_inset Formula $\downarrow$
2356 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2359 \begin_layout Plain Layout
2360 \begin_inset Formula $\sqrt[3]{A-B}$
2376 \begin_layout Standard
2377 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,
2386 \begin_layout Standard
2387 \begin_inset Formula $\sqrt[\beta]{B}$
2390 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.
2391 \begin_inset Newline newline
2395 \begin_inset Formula $\beta$
2398 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
2405 \begin_inset Index idx
2408 \begin_layout Plain Layout
2423 \begin_inset Index idx
2426 \begin_layout Plain Layout
2437 \begin_layout Standard
2451 \begin_layout Standard
2452 ここで「距離」は,指数を左あるいは上に動かす,Big Point(単位bp;
2453 \begin_inset Formula $\mathrm{72\,bp=1}$
2456 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
2457 \begin_inset Newline newline
2467 \begin_inset Formula $\to$
2473 \begin_inset Formula $\to$
2479 \begin_inset space \textvisiblespace{}
2483 \begin_inset Formula $\to$
2487 \begin_inset Newline newline
2493 \begin_inset Formula $\sqrt[\leftroot{-1}\uproot{2}\beta]{B}$
2499 \begin_layout Subsection
2501 \begin_inset Index idx
2504 \begin_layout Plain Layout
2513 \begin_layout Standard
2521 \begin_inset Index idx
2524 \begin_layout Plain Layout
2535 arg "math-insert \\frac-square"
2538 の小メニューを使って挿入することができます.分数(
2555 \begin_inset Index idx
2558 \begin_layout Plain Layout
2575 \begin_inset Index idx
2578 \begin_layout Plain Layout
2586 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
2593 \begin_inset Index idx
2596 \begin_layout Plain Layout
2611 \begin_inset Index idx
2614 \begin_layout Plain Layout
2625 \begin_layout Standard
2627 \begin_inset Tabular
2628 <lyxtabular version="3" rows="6" columns="2">
2629 <features booktabs="true" tabularvalignment="middle">
2630 <column alignment="center" valignment="top" width="0pt">
2631 <column alignment="center" valignment="top" width="0pt">
2633 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2636 \begin_layout Plain Layout
2642 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2645 \begin_layout Plain Layout
2652 <row topspace="1mm">
2653 <cell alignment="center" valignment="top" usebox="none">
2656 \begin_layout Plain Layout
2660 \begin_inset space \textvisiblespace{}
2664 \begin_inset Formula $\downarrow$
2672 <cell alignment="center" valignment="top" usebox="none">
2675 \begin_layout Plain Layout
2676 \begin_inset Formula $\binom{A}{B}$
2685 <row topspace="2mm">
2686 <cell alignment="center" valignment="top" usebox="none">
2689 \begin_layout Plain Layout
2693 \begin_inset space \textvisiblespace{}
2697 \begin_inset Formula $\downarrow$
2705 <cell alignment="center" valignment="top" usebox="none">
2708 \begin_layout Plain Layout
2709 \begin_inset Formula $\dbinom{A}{B}$
2718 <row topspace="2mm" bottomspace="0.5mm">
2719 <cell alignment="center" valignment="top" usebox="none">
2722 \begin_layout Plain Layout
2726 \begin_inset space \textvisiblespace{}
2730 \begin_inset Formula $\downarrow$
2738 <cell alignment="center" valignment="top" usebox="none">
2741 \begin_layout Plain Layout
2742 \begin_inset Formula $\tbinom{A}{B}$
2751 <row topspace="1mm">
2752 <cell alignment="center" valignment="top" topline="true" usebox="none">
2755 \begin_layout Plain Layout
2759 \begin_inset space \textvisiblespace{}
2763 \begin_inset Formula $\downarrow$
2771 <cell alignment="center" valignment="top" topline="true" usebox="none">
2774 \begin_layout Plain Layout
2775 \begin_inset Formula ${A \brack B}$
2784 <row topspace="2mm" bottomspace="0.5mm">
2785 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2788 \begin_layout Plain Layout
2792 \begin_inset space \textvisiblespace{}
2796 \begin_inset Formula $\downarrow$
2804 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2807 \begin_layout Plain Layout
2808 \begin_inset Formula ${A \brace B}$
2824 \begin_layout Subsection
2826 \begin_inset Index idx
2829 \begin_layout Plain Layout
2838 \begin_layout Standard
2840 \begin_inset Tabular
2841 <lyxtabular version="3" rows="3" columns="2">
2842 <features booktabs="true" tabularvalignment="middle">
2843 <column alignment="center" valignment="top" width="0pt">
2844 <column alignment="center" valignment="top" width="0pt">
2846 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2849 \begin_layout Plain Layout
2855 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2858 \begin_layout Plain Layout
2866 <cell alignment="center" valignment="top" usebox="none">
2869 \begin_layout Plain Layout
2873 \begin_inset space \textvisiblespace{}
2877 \begin_inset Formula $\to$
2881 \begin_inset Formula $>$
2885 \begin_inset Index idx
2888 \begin_layout Plain Layout
2901 <cell alignment="center" valignment="top" usebox="none">
2904 \begin_layout Plain Layout
2905 \begin_inset Formula $\begin{cases}
2915 <row topspace="1.5mm">
2916 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2919 \begin_layout Plain Layout
2923 \begin_inset space \textvisiblespace{}
2929 arg "newline-insert newline"
2937 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2940 \begin_layout Plain Layout
2941 \begin_inset Formula $\begin{cases}
2942 A & \textrm{for }x>0\\
2943 B & \textrm{for }x=0
2960 \begin_layout Standard
2970 arg "math-insert \\cases"
2974 \begin_inset Flex Ruby
2977 \begin_layout Plain Layout
2979 \begin_inset Argument post:1
2982 \begin_layout Plain Layout
2996 arg "newline-insert newline"
3002 arg "tabular-feature append-row"
3005 を使えば,新しい行を作ることができます.
3008 \begin_layout Standard
3017 挿入\SpecialChar menuseparator
3018 数式\SpecialChar menuseparator
3024 \begin_layout Subsection
3026 \begin_inset Index idx
3029 \begin_layout Plain Layout
3038 \begin_layout Standard
3046 \begin_inset Index idx
3049 \begin_layout Plain Layout
3057 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.
3060 \begin_layout Standard
3062 \begin_inset Tabular
3063 <lyxtabular version="3" rows="4" columns="2">
3064 <features booktabs="true" tabularvalignment="middle">
3065 <column alignment="center" valignment="top" width="0pt">
3066 <column alignment="center" valignment="top" width="0pt">
3068 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3071 \begin_layout Plain Layout
3077 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3080 \begin_layout Plain Layout
3088 <cell alignment="center" valignment="top" usebox="none">
3091 \begin_layout Plain Layout
3099 <cell alignment="center" valignment="top" usebox="none">
3102 \begin_layout Plain Layout
3103 \begin_inset Formula $\not=$
3113 <cell alignment="center" valignment="top" usebox="none">
3116 \begin_layout Plain Layout
3126 <cell alignment="center" valignment="top" usebox="none">
3129 \begin_layout Plain Layout
3130 \begin_inset Formula $\not\le$
3140 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3143 \begin_layout Plain Layout
3153 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3156 \begin_layout Plain Layout
3157 \begin_inset Formula $\not\parallel$
3173 \begin_layout Standard
3174 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
3175 \begin_inset CommandInset ref
3177 reference "subsec:数学記号"
3182 \begin_inset CommandInset ref
3191 \begin_layout Subsection
3193 \begin_inset CommandInset label
3200 \begin_inset Index idx
3203 \begin_layout Plain Layout
3210 \begin_inset Index idx
3213 \begin_layout Plain Layout
3214 かがくきごう@化学記号 ! どういたい@同位体
3220 \begin_inset Index idx
3223 \begin_layout Plain Layout
3228 \begin_layout Plain Layout
3239 \begin_layout Plain Layout
3252 \begin_inset Index idx
3255 \begin_layout Plain Layout
3260 \begin_layout Plain Layout
3271 \begin_layout Plain Layout
3286 \begin_layout Standard
3291 \begin_layout Plain Layout
3293 \begin_inset CommandInset ref
3295 reference "subsec:化学記号と化学式"
3304 を表示しようとすると,次のような問題が起こります.
3307 \begin_layout Standard
3309 \begin_inset Tabular
3310 <lyxtabular version="3" rows="2" columns="2">
3311 <features booktabs="true" tabularvalignment="middle">
3312 <column alignment="center" valignment="top" width="0pt">
3313 <column alignment="center" valignment="top" width="0pt">
3315 <cell alignment="center" valignment="top" usebox="none">
3318 \begin_layout Plain Layout
3319 上付き文字と下付き文字を使用して作った指数:
3324 <cell alignment="center" valignment="top" usebox="none">
3327 \begin_layout Plain Layout
3328 \begin_inset Formula $_{9}^{19}\mathrm{F}$
3337 <row topspace="1.5mm">
3338 <cell alignment="center" valignment="top" usebox="none">
3341 \begin_layout Plain Layout
3347 <cell alignment="center" valignment="top" usebox="none">
3350 \begin_layout Plain Layout
3351 \begin_inset Formula $_{\phantom{1}9}^{19}\mathrm{F}$
3367 \begin_layout Standard
3368 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
3375 \begin_inset Index idx
3378 \begin_layout Plain Layout
3390 \begin_layout Plain Layout
3394 arg "math-insert \\space"
3414 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
3415 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,
3421 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.
3424 \begin_layout Standard
3426 \begin_inset Tabular
3427 <lyxtabular version="3" rows="4" columns="2">
3428 <features booktabs="true" tabularvalignment="middle">
3429 <column alignment="center" valignment="top" width="0pt">
3430 <column alignment="center" valignment="top" width="0pt">
3432 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3435 \begin_layout Plain Layout
3441 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3444 \begin_layout Plain Layout
3451 <row topspace="1.5mm">
3452 <cell alignment="center" valignment="top" usebox="none">
3455 \begin_layout Plain Layout
3457 \begin_inset space \textvisiblespace{}
3463 \begin_inset space \textvisiblespace{}
3467 \begin_inset Formula $\to$
3471 \begin_inset space \textvisiblespace{}
3479 <cell alignment="center" valignment="top" usebox="none">
3482 \begin_layout Plain Layout
3483 \begin_inset Formula $_{\phantom{1}9}^{19}\mathrm{F}$
3492 <row topspace="1.5mm" bottomspace="0.5mm">
3493 <cell alignment="center" valignment="top" usebox="none">
3496 \begin_layout Plain Layout
3498 \begin_inset space \textvisiblespace{}
3504 \begin_inset space \textvisiblespace{}
3508 \begin_inset Formula $\to$
3512 \begin_inset space \textvisiblespace{}
3520 <cell alignment="center" valignment="top" usebox="none">
3523 \begin_layout Plain Layout
3524 \begin_inset Formula $_{\phantom{23}9}^{235}\mathrm{F}$
3533 <row topspace="1.5mm" bottomspace="0.5mm">
3534 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3537 \begin_layout Plain Layout
3541 \begin_inset space \textvisiblespace{}
3547 \begin_inset space \textvisiblespace{}
3551 \begin_inset Formula $\to$
3555 \begin_inset space \textvisiblespace{}
3563 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3566 \begin_layout Plain Layout
3567 \begin_inset Formula $\Lambda_{MMt}^{\phantom{ii}t}$
3583 \begin_layout Standard
3591 \begin_inset Index idx
3594 \begin_layout Plain Layout
3603 \begin_inset space ~
3619 \begin_inset Index idx
3622 \begin_layout Plain Layout
3631 \begin_inset space ~
3646 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.
3652 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.
3655 \begin_layout Standard
3663 \begin_inset space \textvisiblespace{}
3676 \begin_layout Plain Layout
3684 \begin_inset CommandInset ref
3686 reference "subsec:大演算子"
3695 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
3696 \begin_inset CommandInset ref
3698 reference "subsec:多行にわたる括弧"
3705 \begin_layout Standard
3708 挿入\SpecialChar menuseparator
3709 整形\SpecialChar menuseparator
3712 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.
3715 \begin_layout Standard
3717 \begin_inset Newline newline
3721 \begin_inset Phantom Phantom
3724 \begin_layout Plain Layout
3733 \begin_layout Subsection
3735 \begin_inset Index idx
3738 \begin_layout Plain Layout
3745 \begin_inset Index idx
3748 \begin_layout Plain Layout
3755 \begin_inset Index idx
3758 \begin_layout Plain Layout
3763 \begin_layout Plain Layout
3774 \begin_layout Plain Layout
3789 \begin_layout Standard
3791 \begin_inset Tabular
3792 <lyxtabular version="3" rows="4" columns="2">
3793 <features booktabs="true" tabularvalignment="middle">
3794 <column alignment="center" valignment="top" width="0pt">
3795 <column alignment="center" valignment="top" width="0pt">
3797 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3800 \begin_layout Plain Layout
3806 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3809 \begin_layout Plain Layout
3816 <row topspace="2mm">
3817 <cell alignment="center" valignment="top" usebox="none">
3820 \begin_layout Plain Layout
3824 \begin_inset space \textvisiblespace{}
3828 \begin_inset Index idx
3831 \begin_layout Plain Layout
3844 <cell alignment="center" valignment="top" usebox="none">
3847 \begin_layout Plain Layout
3848 \begin_inset Formula $\overline{A+B}$
3857 <row bottomspace="1mm">
3858 <cell alignment="center" valignment="top" usebox="none">
3861 \begin_layout Plain Layout
3865 \begin_inset space \textvisiblespace{}
3869 \begin_inset Index idx
3872 \begin_layout Plain Layout
3885 <cell alignment="center" valignment="top" usebox="none">
3888 \begin_layout Plain Layout
3889 \begin_inset Formula $\underline{A+B}$
3898 <row topspace="2mm" bottomspace="1mm">
3899 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3902 \begin_layout Plain Layout
3906 \begin_inset space \textvisiblespace{}
3912 \begin_inset space \textvisiblespace{}
3920 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3923 \begin_layout Plain Layout
3924 \begin_inset Formula $\overline{\underline{A+B}}$
3940 \begin_layout Standard
3956 \begin_layout Standard
3966 \begin_layout Standard
3967 文字の上下6本の線まで引くことができます.
3970 \begin_layout Standard
3971 \begin_inset VSpace bigskip
3981 \begin_inset Index idx
3984 \begin_layout Plain Layout
3995 \begin_layout Standard
4000 rule[垂直オフセット幅]{長さ}{厚み}
4003 \begin_layout Standard
4008 」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
4009 \begin_inset CommandInset ref
4011 reference "tab:使用できる単位"
4015 表に掲げてある単位を用いることができます.以下に,
4016 \begin_inset Newline newline
4023 rule[-2ex]{3cm}{2pt}
4030 \begin_inset Newline newline
4035 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.
4038 \begin_layout Standard
4040 \begin_inset Formula $\rule[-2ex]{3cm}{2pt}\rule{2cm}{1pt}$
4046 \begin_layout Standard
4051 挿入\SpecialChar menuseparator
4052 整形\SpecialChar menuseparator
4055 を使っても,本文に挿入することができます.
4058 \begin_layout Standard
4060 \begin_inset CommandInset line
4071 \begin_layout Subsection
4073 \begin_inset CommandInset label
4080 \begin_inset Index idx
4083 \begin_layout Plain Layout
4092 \begin_layout Standard
4093 省略符号には,いくつかの種類が使用できます
4097 \begin_layout Plain Layout
4101 arg "math-insert \\ldots"
4116 \begin_inset Index idx
4119 \begin_layout Plain Layout
4127 )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(
4134 \begin_inset Index idx
4137 \begin_layout Plain Layout
4152 \begin_inset Index idx
4155 \begin_layout Plain Layout
4163 コマンドを使うと,\SpecialChar LaTeX
4164 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.
4167 \begin_layout Standard
4169 \begin_inset Tabular
4170 <lyxtabular version="3" rows="9" columns="2">
4171 <features booktabs="true" tabularvalignment="middle">
4172 <column alignment="center" valignment="top" width="0pt">
4173 <column alignment="center" valignment="top" width="0pt">
4175 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4178 \begin_layout Plain Layout
4184 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4187 \begin_layout Plain Layout
4195 <cell alignment="center" valignment="top" usebox="none">
4198 \begin_layout Plain Layout
4200 \begin_inset space \textvisiblespace{}
4206 \begin_inset space \textvisiblespace{}
4214 <cell alignment="center" valignment="top" usebox="none">
4217 \begin_layout Plain Layout
4218 \begin_inset Formula $A_{1},\dots,A_{n}$
4228 <cell alignment="center" valignment="top" usebox="none">
4231 \begin_layout Plain Layout
4233 \begin_inset space \textvisiblespace{}
4239 \begin_inset space \textvisiblespace{}
4247 <cell alignment="center" valignment="top" usebox="none">
4250 \begin_layout Plain Layout
4251 \begin_inset Formula $A_{1}+\dots+A_{n}$
4261 <cell alignment="center" valignment="top" usebox="none">
4264 \begin_layout Plain Layout
4266 \begin_inset space \textvisiblespace{}
4272 \begin_inset space \textvisiblespace{}
4280 <cell alignment="center" valignment="top" usebox="none">
4283 \begin_layout Plain Layout
4284 \begin_inset Formula $A_{1},\ldots,A_{n}$
4294 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
4297 \begin_layout Plain Layout
4299 \begin_inset space \textvisiblespace{}
4305 \begin_inset space \textvisiblespace{}
4313 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
4316 \begin_layout Plain Layout
4317 \begin_inset Formula $A_{1}+\cdots+A_{n}$
4327 <cell alignment="center" valignment="top" usebox="none">
4330 \begin_layout Plain Layout
4338 <cell alignment="center" valignment="top" usebox="none">
4341 \begin_layout Plain Layout
4342 \begin_inset Formula $\vdots$
4352 <cell alignment="center" valignment="top" usebox="none">
4355 \begin_layout Plain Layout
4363 <cell alignment="center" valignment="top" usebox="none">
4366 \begin_layout Plain Layout
4367 \begin_inset Formula $\ddots$
4377 <cell alignment="center" valignment="top" usebox="none">
4380 \begin_layout Plain Layout
4388 <cell alignment="center" valignment="top" usebox="none">
4391 \begin_layout Plain Layout
4392 \begin_inset Formula $\iddots$
4402 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4405 \begin_layout Plain Layout
4407 \begin_inset Formula $3\times3$
4415 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4418 \begin_layout Plain Layout
4419 \begin_inset Formula $\begin{array}{ccc}
4420 A_{11} & \cdots & A_{1m}\\
4421 \vdots & \ddots & \vdots\\
4422 A_{n1} & \cdots & A_{nm}
4439 \begin_layout Standard
4442 挿入\SpecialChar menuseparator
4454 \begin_layout Standard
4455 \begin_inset VSpace medskip
4470 mathdotsパッケージを(自動的に)使う
4472 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.
4473 \begin_inset Newline newline
4480 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.
4483 \begin_layout Standard
4484 \begin_inset VSpace medskip
4487 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
4494 \begin_inset Index idx
4497 \begin_layout Plain Layout
4508 \begin_layout Standard
4516 \begin_layout Standard
4517 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.
4520 \begin_layout Standard
4533 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.
4534 \begin_inset Formula
4536 \left(\begin{array}{cccc}
4545 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
4549 \begin_layout Standard
4550 \begin_inset VSpace bigskip
4560 \begin_inset Index idx
4563 \begin_layout Plain Layout
4571 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,
4578 \begin_inset CommandInset ref
4580 reference "subsec:可変長の空白"
4587 \begin_layout Standard
4593 \begin_inset space \textvisiblespace{}
4601 \begin_layout Standard
4602 \begin_inset Formula $A\dotfill B$
4608 \begin_layout Standard
4622 \begin_inset Index idx
4625 \begin_layout Plain Layout
4636 \begin_layout Standard
4637 \begin_inset Formula $A\hrulefill B$
4643 \begin_layout Standard
4644 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
4648 \begin_layout Section
4650 \begin_inset CommandInset label
4657 \begin_inset Index idx
4660 \begin_layout Plain Layout
4669 \begin_layout Standard
4673 arg "dialog-show mathmatrix"
4678 挿入\SpecialChar menuseparator
4679 数式\SpecialChar menuseparator
4682 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.
4685 \begin_layout Standard
4687 \begin_inset Formula $\begin{array}[t]{cccc}
4695 \begin_inset Formula $\begin{array}{cccc}
4703 \begin_inset Formula $\begin{array}[b]{cccc}
4713 \begin_layout Standard
4714 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.
4726 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
4727 \begin_inset Formula $4\times4$
4734 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
4741 \begin_layout Standard
4745 \begin_layout Standard
4751 \begin_inset Formula $\begin{array}{lll}
4763 \begin_inset Formula $\begin{array}{ccc}
4775 \begin_inset Formula $\begin{array}{rrr}
4785 \begin_layout Standard
4786 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
4789 arg "tabular-feature append-row"
4795 arg "tabular-feature delete-row"
4800 編集\SpecialChar menuseparator
4803 メニューを使用することができます.また,行は
4806 arg "newline-insert newline"
4812 \begin_layout Standard
4813 \begin_inset VSpace bigskip
4819 \begin_layout Standard
4824 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,
4831 \begin_inset Index idx
4834 \begin_layout Plain Layout
4849 \begin_inset Index idx
4852 \begin_layout Plain Layout
4861 \begin_inset Flex Ruby
4864 \begin_layout Plain Layout
4866 \begin_inset Argument post:1
4869 \begin_layout Plain Layout
4883 \begin_inset space ~
4889 \begin_inset CommandInset ref
4891 reference "subsec:自動の括弧丈"
4895 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.
4896 \begin_inset VSpace medskip
4902 \begin_layout Standard
4903 \begin_inset space \hfill{}
4907 \begin_inset Tabular
4908 <lyxtabular version="3" rows="4" columns="2">
4909 <features booktabs="true" tabularvalignment="middle">
4910 <column alignment="center" valignment="top" width="0pt">
4911 <column alignment="center" valignment="top">
4913 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4916 \begin_layout Plain Layout
4922 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4925 \begin_layout Plain Layout
4932 <row topspace="1.5mm">
4933 <cell alignment="center" valignment="top" usebox="none">
4936 \begin_layout Plain Layout
4940 \begin_inset space \textvisiblespace{}
4944 \begin_inset Formula $2\times2$
4952 <cell alignment="center" valignment="top" usebox="none">
4955 \begin_layout Plain Layout
4956 \begin_inset Formula $\begin{bmatrix}\begin{array}{cc}
4957 0 & \textrm{-}\mathrm{i}\\
4959 \end{array}\end{bmatrix}$
4968 <row topspace="1.5mm" bottomspace="0.5mm">
4969 <cell alignment="center" valignment="top" usebox="none">
4972 \begin_layout Plain Layout
4976 \begin_inset space \textvisiblespace{}
4980 \begin_inset Formula $2\times2$
4988 <cell alignment="center" valignment="top" usebox="none">
4991 \begin_layout Plain Layout
4992 \begin_inset Formula $\begin{Bmatrix}\begin{array}{cc}
4993 0 & \textrm{-}\mathrm{i}\\
4995 \end{array}\end{Bmatrix}$
5005 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5008 \begin_layout Plain Layout
5012 \begin_inset space \textvisiblespace{}
5016 \begin_inset Formula $2\times2$
5024 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5027 \begin_layout Plain Layout
5028 \begin_inset Formula $\begin{pmatrix}\begin{array}{cc}
5029 0 & \textrm{-}\mathrm{i}\\
5031 \end{array}\end{pmatrix}$
5045 \begin_inset space \hfill{}
5049 \begin_inset Tabular
5050 <lyxtabular version="3" rows="4" columns="2">
5051 <features booktabs="true" tabularvalignment="middle">
5052 <column alignment="center" valignment="top" width="0pt">
5053 <column alignment="center" valignment="top">
5055 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5058 \begin_layout Plain Layout
5064 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5067 \begin_layout Plain Layout
5074 <row topspace="1.5mm">
5075 <cell alignment="center" valignment="top" usebox="none">
5078 \begin_layout Plain Layout
5082 \begin_inset space \textvisiblespace{}
5086 \begin_inset Formula $2\times2$
5094 <cell alignment="center" valignment="top" usebox="none">
5097 \begin_layout Plain Layout
5098 \begin_inset Formula $\begin{vmatrix}\begin{array}{cc}
5099 0 & \textrm{-}\mathrm{i}\\
5101 \end{array}\end{vmatrix}$
5110 <row topspace="1.5mm" bottomspace="0.5mm">
5111 <cell alignment="center" valignment="top" usebox="none">
5114 \begin_layout Plain Layout
5118 \begin_inset space \textvisiblespace{}
5122 \begin_inset Formula $2\times2$
5130 <cell alignment="center" valignment="top" usebox="none">
5133 \begin_layout Plain Layout
5134 \begin_inset Formula $\begin{Vmatrix}\begin{array}{cc}
5135 0 & \textrm{-}\mathrm{i}\\
5137 \end{array}\end{Vmatrix}$
5147 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5150 \begin_layout Plain Layout
5154 \begin_inset space \textvisiblespace{}
5158 \begin_inset Formula $2\times2$
5166 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5169 \begin_layout Plain Layout
5170 \begin_inset Formula $\begin{matrix}\begin{array}{cc}
5171 0 & \textrm{-}\mathrm{i}\\
5173 \end{array}\end{matrix}$
5187 \begin_inset space \hfill{}
5193 \begin_layout Standard
5194 \begin_inset VSpace medskip
5203 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.
5206 \begin_layout Standard
5207 \begin_inset VSpace bigskip
5210 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
5211 \begin_inset CommandInset ref
5213 reference "subsec:列間"
5224 \begin_inset Index idx
5227 \begin_layout Plain Layout
5238 \begin_layout Standard
5246 \begin_inset Index idx
5249 \begin_layout Plain Layout
5257 コマンドを使用します.以下のようにして使用します.
5260 \begin_layout Standard
5268 \begin_inset Index idx
5271 \begin_layout Plain Layout
5282 \begin_layout Standard
5295 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
5305 \begin_layout Standard
5313 \begin_inset Index idx
5316 \begin_layout Plain Layout
5324 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.
5327 \begin_layout Standard
5329 \begin_inset Formula $\left(\begin{smallmatrix}A & B\\
5331 \end{smallmatrix}\right)$
5337 \begin_layout Section
5339 \begin_inset Index idx
5342 \begin_layout Plain Layout
5349 \begin_inset Index idx
5352 \begin_layout Plain Layout
5361 \begin_layout Subsection
5363 \begin_inset Index idx
5366 \begin_layout Plain Layout
5368 \begin_inset space \thinspace{}
5379 \begin_layout Standard
5380 \begin_inset space \hfill{}
5384 \begin_inset Tabular
5385 <lyxtabular version="3" rows="9" columns="2">
5386 <features booktabs="true" tabularvalignment="middle">
5387 <column alignment="center" valignment="top" width="0pt">
5388 <column alignment="center" valignment="top" width="0pt">
5390 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5393 \begin_layout Plain Layout
5399 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5402 \begin_layout Plain Layout
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
5465 <cell alignment="center" valignment="top" usebox="none">
5468 \begin_layout Plain Layout
5469 \begin_inset Formula $[$
5479 <cell alignment="center" valignment="top" usebox="none">
5482 \begin_layout Plain Layout
5490 <cell alignment="center" valignment="top" usebox="none">
5493 \begin_layout Plain Layout
5494 \begin_inset Formula $\langle$
5504 <cell alignment="center" valignment="top" usebox="none">
5507 \begin_layout Plain Layout
5515 <cell alignment="center" valignment="top" usebox="none">
5518 \begin_layout Plain Layout
5519 \begin_inset Formula $\lceil$
5529 <cell alignment="center" valignment="top" usebox="none">
5532 \begin_layout Plain Layout
5540 <cell alignment="center" valignment="top" usebox="none">
5543 \begin_layout Plain Layout
5544 \begin_inset Formula $\lfloor$
5554 <cell alignment="center" valignment="top" usebox="none">
5557 \begin_layout Plain Layout
5563 <cell alignment="center" valignment="top" usebox="none">
5566 \begin_layout Plain Layout
5567 \begin_inset Formula $/$
5577 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5580 \begin_layout Plain Layout
5586 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5589 \begin_layout Plain Layout
5590 \begin_inset Formula $|$
5604 \begin_inset space \hfill{}
5608 \begin_inset Tabular
5609 <lyxtabular version="3" rows="9" columns="2">
5610 <features booktabs="true" tabularvalignment="middle">
5611 <column alignment="center" valignment="top" width="0pt">
5612 <column alignment="center" valignment="top" width="0pt">
5614 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5617 \begin_layout Plain Layout
5623 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5626 \begin_layout Plain Layout
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
5689 <cell alignment="center" valignment="top" usebox="none">
5692 \begin_layout Plain Layout
5693 \begin_inset Formula $]$
5703 <cell alignment="center" valignment="top" usebox="none">
5706 \begin_layout Plain Layout
5714 <cell alignment="center" valignment="top" usebox="none">
5717 \begin_layout Plain Layout
5718 \begin_inset Formula $\rangle$
5728 <cell alignment="center" valignment="top" usebox="none">
5731 \begin_layout Plain Layout
5739 <cell alignment="center" valignment="top" usebox="none">
5742 \begin_layout Plain Layout
5743 \begin_inset Formula $\rceil$
5753 <cell alignment="center" valignment="top" usebox="none">
5756 \begin_layout Plain Layout
5764 <cell alignment="center" valignment="top" usebox="none">
5767 \begin_layout Plain Layout
5768 \begin_inset Formula $\rfloor$
5778 <cell alignment="center" valignment="top" usebox="none">
5781 \begin_layout Plain Layout
5791 <cell alignment="center" valignment="top" usebox="none">
5794 \begin_layout Plain Layout
5795 \begin_inset Formula $\backslash$
5805 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5808 \begin_layout Plain Layout
5816 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5819 \begin_layout Plain Layout
5820 \begin_inset Formula $\|$
5834 \begin_inset space \hfill{}
5840 \begin_layout Standard
5841 \begin_inset Note Greyedout
5844 \begin_layout Plain Layout
5854 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
5861 \begin_inset Index idx
5864 \begin_layout Plain Layout
5880 \begin_layout Standard
5881 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,
5894 \begin_inset Formula $<$
5898 \begin_inset Formula $>$
5904 \begin_layout Subsubsection
5906 \begin_inset CommandInset label
5908 name "subsec:手動の括弧丈"
5913 \begin_inset Index idx
5916 \begin_layout Plain Layout
5925 \begin_layout Standard
5926 括弧の丈は,\SpecialChar LaTeX
5934 \begin_inset Index idx
5937 \begin_layout Plain Layout
5963 を使って,手動で指定することができます.
5978 \begin_layout Standard
5979 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.
5982 \begin_layout Standard
5984 \begin_inset Tabular
5985 <lyxtabular version="3" rows="2" columns="2">
5986 <features booktabs="true" tabularvalignment="middle">
5987 <column alignment="center" valignment="top" width="0pt">
5988 <column alignment="center" valignment="top" width="0pt">
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 $((A+B)(A-B))^{C}$
6012 <row topspace="2mm">
6013 <cell alignment="center" valignment="top" usebox="none">
6016 \begin_layout Plain Layout
6022 <cell alignment="center" valignment="top" usebox="none">
6025 \begin_layout Plain Layout
6026 \begin_inset Formula $\Big((A+B)(A-B)\Big)^{C}$
6042 \begin_layout Standard
6050 \begin_inset space \textvisiblespace{}
6058 \begin_layout Standard
6062 \begin_layout Standard
6071 \begin_inset Formula $<$
6083 \begin_inset space \textvisiblespace{}
6091 \begin_inset space \textvisiblespace{}
6095 \begin_inset space \textvisiblespace{}
6101 \begin_inset Formula $>$
6109 \begin_layout Standard
6111 \begin_inset Formula $\Bigg(\exp\bigg<\Big[\big\{\ln(3x)\big\}^{2}\sin(x)\Big]^{A}\bigg>\Bigg)^{0,5}$
6117 \begin_layout Standard
6124 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
6131 \begin_inset Index idx
6134 \begin_layout Plain Layout
6155 \begin_inset Index idx
6158 \begin_layout Plain Layout
6178 は,左括弧であることを示し,右括弧の場合には,
6186 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.
6189 \begin_layout Standard
6193 \begin_layout Standard
6195 \begin_inset Tabular
6196 <lyxtabular version="3" rows="5" columns="2">
6197 <features booktabs="true" tabularvalignment="middle">
6198 <column alignment="center" valignment="top" width="0pt">
6199 <column alignment="center" valignment="middle">
6201 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6204 \begin_layout Plain Layout
6210 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6213 \begin_layout Plain Layout
6220 <row topspace="2mm">
6221 <cell alignment="center" valignment="top" usebox="none">
6224 \begin_layout Plain Layout
6234 \begin_inset space \textvisiblespace{}
6244 <cell alignment="center" valignment="top" usebox="none">
6247 \begin_layout Plain Layout
6248 \begin_inset Formula $\Bigm(\bigm(\ln(3x)\bigm)^{2}\Bigm)$
6257 <row topspace="2mm">
6258 <cell alignment="center" valignment="top" usebox="none">
6261 \begin_layout Plain Layout
6271 \begin_inset space \textvisiblespace{}
6281 <cell alignment="center" valignment="top" usebox="none">
6284 \begin_layout Plain Layout
6285 \begin_inset Formula $\Big(\big(\ln(3x)\big)^{2}\Big)$
6294 <row topspace="2mm" bottomspace="0.5mm">
6295 <cell alignment="center" valignment="top" usebox="none">
6298 \begin_layout Plain Layout
6308 \begin_inset space \textvisiblespace{}
6318 <cell alignment="center" valignment="top" usebox="none">
6321 \begin_layout Plain Layout
6322 \begin_inset Formula $\Bigl(\bigl(\ln(3x)\bigr)^{2}\Bigr)$
6331 <row topspace="1.5mm" bottomspace="0.5mm">
6332 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6335 \begin_layout Plain Layout
6347 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6350 \begin_layout Plain Layout
6351 \begin_inset Formula $\bigl)\ln(3x)\bigr($
6367 \begin_layout Subsubsection
6369 \begin_inset CommandInset label
6371 name "subsec:自動の括弧丈"
6376 \begin_inset Index idx
6379 \begin_layout Plain Layout
6388 \begin_layout Standard
6396 \begin_inset Index idx
6399 \begin_layout Plain Layout
6414 \begin_inset Index idx
6417 \begin_layout Plain Layout
6425 コマンド,あるいは数式ツールバーボタンの
6428 arg "dialog-show mathdelimiter"
6443 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.
6446 \begin_layout Standard
6455 \begin_inset space \textvisiblespace{}
6459 \begin_inset Formula $\downarrow$
6463 \begin_inset space \textvisiblespace{}
6469 \begin_inset Formula
6479 \begin_layout Standard
6490 \begin_inset space \textvisiblespace{}
6494 \begin_inset Formula $\downarrow$
6498 \begin_inset space \textvisiblespace{}
6506 \begin_inset Formula
6508 \ln\left(\frac{A}{C}\right)
6516 \begin_layout Standard
6530 \begin_inset Flex Ruby
6533 \begin_layout Plain Layout
6535 \begin_inset Argument post:1
6538 \begin_layout Plain Layout
6552 \begin_inset space ~
6557 を使うこともできます.これを使うと,\SpecialChar LyX
6558 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.
6559 \begin_inset Newline newline
6573 \begin_inset space \textvisiblespace{}
6577 \begin_inset Formula $\downarrow$
6585 \begin_layout Standard
6586 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,
6593 \begin_inset space \textvisiblespace{}
6597 \begin_inset Formula $\downarrow$
6601 \begin_inset space \textvisiblespace{}
6611 \begin_inset Formula
6613 \left.\frac{A}{B}\right\}
6632 コマンドは,文書が再度読み込まれたときには,\SpecialChar LyX
6633 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.
6636 \begin_layout Standard
6637 \begin_inset VSpace bigskip
6640 著名な\SpecialChar LaTeX
6641 頒布版は,すべて\SpecialChar LaTeX
6642 の拡張であるe\SpecialChar TeX
6643 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
6650 \begin_inset Index idx
6653 \begin_layout Plain Layout
6665 \begin_layout Plain Layout
6677 コマンドは使えません.よって,以下の例では「
6684 \begin_inset Formula $|$
6694 \begin_inset Formula $|$
6703 \begin_inset Formula
6705 \left\langle \phi\:\biggm|\:J=\frac{3}{2}\,,\,M_{J}\right\rangle
6710 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
6711 \begin_inset CommandInset ref
6713 reference "subsec:物理ベクトル"
6717 節に説明されているように特殊な\SpecialChar LaTeX
6721 \begin_layout Subsection
6723 \begin_inset Index idx
6726 \begin_layout Plain Layout
6728 \begin_inset space \thinspace{}
6739 \begin_layout Standard
6741 \begin_inset Tabular
6742 <lyxtabular version="3" rows="4" columns="2">
6743 <features booktabs="true" tabularvalignment="middle">
6744 <column alignment="center" valignment="top" width="0pt">
6745 <column alignment="center" valignment="top" width="0pt">
6747 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6750 \begin_layout Plain Layout
6756 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6759 \begin_layout Plain Layout
6767 <cell alignment="center" valignment="top" usebox="none">
6770 \begin_layout Plain Layout
6774 \begin_inset space \textvisiblespace{}
6778 \begin_inset space \textvisiblespace{}
6782 \begin_inset space \textvisiblespace{}
6786 \begin_inset Index idx
6789 \begin_layout Plain Layout
6802 <cell alignment="center" valignment="top" usebox="none">
6805 \begin_layout Plain Layout
6806 \begin_inset Formula $\overbrace{A+B}^{3}$
6815 <row topspace="2mm">
6816 <cell alignment="center" valignment="top" usebox="none">
6819 \begin_layout Plain Layout
6823 \begin_inset space \textvisiblespace{}
6827 \begin_inset space \textvisiblespace{}
6831 \begin_inset Index idx
6834 \begin_layout Plain Layout
6847 <cell alignment="center" valignment="top" usebox="none">
6850 \begin_layout Plain Layout
6851 \begin_inset Formula $\underbrace{A+B}_{5}$
6861 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6864 \begin_layout Plain Layout
6868 \begin_inset space \textvisiblespace{}
6874 \begin_inset space \textvisiblespace{}
6878 \begin_inset space \textvisiblespace{}
6882 \begin_inset space \textvisiblespace{}
6886 \begin_inset space \textvisiblespace{}
6890 \begin_inset space \textvisiblespace{}
6894 \begin_inset space \textvisiblespace{}
6902 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6905 \begin_layout Plain Layout
6906 \begin_inset Formula $\overbrace{\underbrace{A+B_{w}}_{7}}^{C}$
6922 \begin_layout Standard
6935 が先に挿入されようが代わりはありません.
6938 \begin_layout Standard
6939 \begin_inset VSpace medskip
6945 \begin_layout Standard
6955 \begin_inset Index idx
6958 \begin_layout Plain Layout
6959 ぱっけーじ@パッケージ ! mathtools
6968 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.
6971 \begin_layout Standard
6973 \begin_inset Tabular
6974 <lyxtabular version="3" rows="4" columns="2">
6975 <features booktabs="true" tabularvalignment="middle">
6976 <column alignment="center" valignment="top" width="0pt">
6977 <column alignment="center" valignment="top" width="0pt">
6979 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6982 \begin_layout Plain Layout
6988 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6991 \begin_layout Plain Layout
6999 <cell alignment="center" valignment="top" usebox="none">
7002 \begin_layout Plain Layout
7006 \begin_inset space \textvisiblespace{}
7010 \begin_inset Index idx
7013 \begin_layout Plain Layout
7026 <cell alignment="center" valignment="top" usebox="none">
7029 \begin_layout Plain Layout
7030 \begin_inset Formula $\overbracket{A+B}^{3}$
7039 <row topspace="2mm">
7040 <cell alignment="center" valignment="top" usebox="none">
7043 \begin_layout Plain Layout
7047 \begin_inset space \textvisiblespace{}
7051 \begin_inset Index idx
7054 \begin_layout Plain Layout
7069 <cell alignment="center" valignment="top" usebox="none">
7072 \begin_layout Plain Layout
7073 \begin_inset Formula $\underbracket{A+B}_{5}$
7083 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7086 \begin_layout Plain Layout
7092 \begin_inset space \textvisiblespace{}
7096 \begin_inset space \textvisiblespace{}
7100 \begin_inset space \textvisiblespace{}
7104 \begin_inset space \textvisiblespace{}
7108 \begin_inset space \textvisiblespace{}
7116 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7119 \begin_layout Plain Layout
7120 \begin_inset Formula $\overbracket{\underbracket{A+B_{w}}_{7}}^{C}$
7136 \begin_layout Standard
7149 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.
7152 \begin_layout Standard
7154 \begin_inset Tabular
7155 <lyxtabular version="3" rows="3" columns="2">
7156 <features booktabs="true" tabularvalignment="middle">
7157 <column alignment="center" valignment="top" width="0pt">
7158 <column alignment="center" valignment="top" width="0pt">
7160 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7163 \begin_layout Plain Layout
7169 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7172 \begin_layout Plain Layout
7180 <cell alignment="center" valignment="top" usebox="none">
7183 \begin_layout Plain Layout
7189 \begin_inset space \textvisiblespace{}
7197 <cell alignment="center" valignment="top" usebox="none">
7200 \begin_layout Plain Layout
7201 \begin_inset Formula $\overbracket[3pt]{A+B}^{3}$
7210 <row topspace="2mm">
7211 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7214 \begin_layout Plain Layout
7220 \begin_inset space \textvisiblespace{}
7228 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7231 \begin_layout Plain Layout
7232 \begin_inset Formula $\underbracket[1pt]{A+B}_{5}$
7248 \begin_layout Standard
7249 \begin_inset VSpace bigskip
7252 括弧をお互いに重ねる必要がある場合には,第
7253 \begin_inset CommandInset ref
7255 reference "sec:多行数式"
7259 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.
7260 \begin_inset Formula
7262 A & = & \underbrace{gggg+bbqq}_{r}+\:dddd\\
7263 & & \hphantom{gggg+\:}\underbrace{\hphantom{bbqq+dddd}}_{s}
7268 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
7272 \begin_layout Plain Layout
7274 \begin_inset CommandInset ref
7276 reference "subsec:定義済みの空白"
7292 \begin_inset Formula $d$
7295 の前に挿入しておくことが重要です.さもないと,
7296 \begin_inset Formula $q$
7299 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
7303 \begin_layout Plain Layout
7304 これは,括弧が文字として取り扱われないためです.第
7305 \begin_inset CommandInset ref
7307 reference "subsec:二項演算子"
7316 ためです.二行目には,二つめの括弧が挿入されています.
7317 \begin_inset Formula $b$
7332 \begin_layout Plain Layout
7340 \begin_inset CommandInset ref
7342 reference "subsec:埋め草"
7351 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
7360 \begin_layout Standard
7361 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.
7365 \begin_layout Plain Layout
7377 \begin_inset Formula
7379 & & \hphantom{gggg+\:}\overbrace{\hphantom{bbqq+dddd}}^{s}\\
7380 A & = & \underbrace{gggg+bbqq}_{r}+\:dddd
7389 \begin_layout Plain Layout
7400 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
7401 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
7406 \begin_layout Plain Layout
7407 \begin_inset CommandInset href
7409 name "LyX-bug #1505"
7410 target "http://www.lyx.org/trac/ticket/1505"
7420 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
7427 というコマンドを入れて,大域的な数式行間
7434 \begin_inset Index idx
7437 \begin_layout Plain Layout
7446 \begin_inset space \thinspace{}
7455 は,数式直後に同様のコマンドを使って標準値の3
7456 \begin_inset space \thinspace{}
7459 ptに戻します.数式中の行間について,詳しくは第
7460 \begin_inset CommandInset ref
7462 reference "subsec:行間"
7469 \begin_layout Section
7471 \begin_inset Index idx
7474 \begin_layout Plain Layout
7483 \begin_layout Standard
7487 arg "math-insert \\leftarrow"
7490 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.
7493 \begin_layout Subsection
7495 \begin_inset Index idx
7498 \begin_layout Plain Layout
7507 \begin_layout Standard
7508 \begin_inset space \hfill{}
7512 \begin_inset Tabular
7513 <lyxtabular version="3" rows="8" columns="2">
7514 <features booktabs="true" tabularvalignment="middle">
7515 <column alignment="center" valignment="top" width="0pt">
7516 <column alignment="center" valignment="top" width="0pt">
7518 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7521 \begin_layout Plain Layout
7527 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7530 \begin_layout Plain Layout
7538 <cell alignment="center" valignment="top" usebox="none">
7541 \begin_layout Plain Layout
7549 <cell alignment="center" valignment="top" usebox="none">
7552 \begin_layout Plain Layout
7553 \begin_inset Formula $\gets$
7563 <cell alignment="center" valignment="top" usebox="none">
7566 \begin_layout Plain Layout
7574 <cell alignment="center" valignment="top" usebox="none">
7577 \begin_layout Plain Layout
7578 \begin_inset Formula $\Leftarrow$
7588 <cell alignment="center" valignment="top" usebox="none">
7591 \begin_layout Plain Layout
7599 <cell alignment="center" valignment="top" usebox="none">
7602 \begin_layout Plain Layout
7603 \begin_inset Formula $\longleftarrow$
7613 <cell alignment="center" valignment="top" usebox="none">
7616 \begin_layout Plain Layout
7624 <cell alignment="center" valignment="top" usebox="none">
7627 \begin_layout Plain Layout
7628 \begin_inset Formula $\Longleftarrow$
7638 <cell alignment="center" valignment="top" usebox="none">
7641 \begin_layout Plain Layout
7649 <cell alignment="center" valignment="top" usebox="none">
7652 \begin_layout Plain Layout
7653 \begin_inset Formula $\leftharpoonup$
7663 <cell alignment="center" valignment="top" usebox="none">
7666 \begin_layout Plain Layout
7674 <cell alignment="center" valignment="top" usebox="none">
7677 \begin_layout Plain Layout
7678 \begin_inset Formula $\leftharpoondown$
7688 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7691 \begin_layout Plain Layout
7699 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7702 \begin_layout Plain Layout
7703 \begin_inset Formula $\hookleftarrow$
7717 \begin_inset space \hfill{}
7721 \begin_inset Tabular
7722 <lyxtabular version="3" rows="8" columns="2">
7723 <features booktabs="true" tabularvalignment="middle">
7724 <column alignment="center" valignment="top" width="0pt">
7725 <column alignment="center" valignment="top" width="0pt">
7727 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7730 \begin_layout Plain Layout
7736 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7739 \begin_layout Plain Layout
7747 <cell alignment="center" valignment="top" usebox="none">
7750 \begin_layout Plain Layout
7758 <cell alignment="center" valignment="top" usebox="none">
7761 \begin_layout Plain Layout
7762 \begin_inset Formula $\to$
7772 <cell alignment="center" valignment="top" usebox="none">
7775 \begin_layout Plain Layout
7783 <cell alignment="center" valignment="top" usebox="none">
7786 \begin_layout Plain Layout
7787 \begin_inset Formula $\Rightarrow$
7797 <cell alignment="center" valignment="top" usebox="none">
7800 \begin_layout Plain Layout
7808 <cell alignment="center" valignment="top" usebox="none">
7811 \begin_layout Plain Layout
7812 \begin_inset Formula $\longrightarrow$
7822 <cell alignment="center" valignment="top" usebox="none">
7825 \begin_layout Plain Layout
7833 <cell alignment="center" valignment="top" usebox="none">
7836 \begin_layout Plain Layout
7837 \begin_inset Formula $\Longrightarrow$
7847 <cell alignment="center" valignment="top" usebox="none">
7850 \begin_layout Plain Layout
7858 <cell alignment="center" valignment="top" usebox="none">
7861 \begin_layout Plain Layout
7862 \begin_inset Formula $\rightharpoonup$
7872 <cell alignment="center" valignment="top" usebox="none">
7875 \begin_layout Plain Layout
7883 <cell alignment="center" valignment="top" usebox="none">
7886 \begin_layout Plain Layout
7887 \begin_inset Formula $\rightharpoondown$
7897 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7900 \begin_layout Plain Layout
7908 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7911 \begin_layout Plain Layout
7912 \begin_inset Formula $\hookrightarrow$
7926 \begin_inset space \hfill{}
7932 \begin_layout Standard
7933 \begin_inset space \hfill{}
7937 \begin_inset Tabular
7938 <lyxtabular version="3" rows="6" columns="2">
7939 <features booktabs="true" tabularvalignment="middle">
7940 <column alignment="center" valignment="top" width="0pt">
7941 <column alignment="center" valignment="top" width="0pt">
7943 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7946 \begin_layout Plain Layout
7952 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7955 \begin_layout Plain Layout
7963 <cell alignment="center" valignment="top" usebox="none">
7966 \begin_layout Plain Layout
7974 <cell alignment="center" valignment="top" usebox="none">
7977 \begin_layout Plain Layout
7978 \begin_inset Formula $\leftrightarrow$
7988 <cell alignment="center" valignment="top" usebox="none">
7991 \begin_layout Plain Layout
7999 <cell alignment="center" valignment="top" usebox="none">
8002 \begin_layout Plain Layout
8003 \begin_inset Formula $\Leftrightarrow$
8013 <cell alignment="center" valignment="top" usebox="none">
8016 \begin_layout Plain Layout
8024 <cell alignment="center" valignment="top" usebox="none">
8027 \begin_layout Plain Layout
8028 \begin_inset Formula $\longleftrightarrow$
8038 <cell alignment="center" valignment="top" usebox="none">
8041 \begin_layout Plain Layout
8049 <cell alignment="center" valignment="top" usebox="none">
8052 \begin_layout Plain Layout
8053 \begin_inset Formula $\Longleftrightarrow$
8063 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8066 \begin_layout Plain Layout
8074 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8077 \begin_layout Plain Layout
8078 \begin_inset Formula $\rightleftharpoons$
8092 \begin_inset space \hspace{}
8097 \begin_inset space \hfill{}
8101 \begin_inset Tabular
8102 <lyxtabular version="3" rows="5" columns="2">
8103 <features booktabs="true" tabularvalignment="middle">
8104 <column alignment="center" valignment="top" width="0pt">
8105 <column alignment="center" valignment="top" width="0pt">
8107 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8110 \begin_layout Plain Layout
8116 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8119 \begin_layout Plain Layout
8127 <cell alignment="center" valignment="top" usebox="none">
8130 \begin_layout Plain Layout
8138 <cell alignment="center" valignment="top" usebox="none">
8141 \begin_layout Plain Layout
8142 \begin_inset Formula $\mapsto$
8152 <cell alignment="center" valignment="top" usebox="none">
8155 \begin_layout Plain Layout
8163 <cell alignment="center" valignment="top" usebox="none">
8166 \begin_layout Plain Layout
8167 \begin_inset Formula $\longmapsto$
8177 <cell alignment="center" valignment="top" usebox="none">
8180 \begin_layout Plain Layout
8188 <cell alignment="center" valignment="top" usebox="none">
8191 \begin_layout Plain Layout
8192 \begin_inset Formula $\leadsto$
8202 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8205 \begin_layout Plain Layout
8213 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8216 \begin_layout Plain Layout
8217 \begin_inset Formula $\dasharrow$
8231 \begin_inset space \hfill{}
8237 \begin_layout Standard
8238 \begin_inset VSpace medskip
8241 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
8242 \begin_inset CommandInset ref
8244 reference "sec:アクセント"
8251 \begin_layout Standard
8252 \begin_inset VSpace bigskip
8256 \begin_inset Index idx
8259 \begin_layout Plain Layout
8260 やじるし@矢印 ! らべるつき@ラベル付き
8272 \begin_inset Index idx
8275 \begin_layout Plain Layout
8290 \begin_inset Index idx
8293 \begin_layout Plain Layout
8300 \begin_layout Plain Layout
8314 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
8318 \begin_layout Standard
8320 \begin_inset Tabular
8321 <lyxtabular version="3" rows="3" columns="2">
8322 <features booktabs="true" tabularvalignment="middle">
8323 <column alignment="center" valignment="top" width="0pt">
8324 <column alignment="center" valignment="top" width="0pt">
8326 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8329 \begin_layout Plain Layout
8335 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8338 \begin_layout Plain Layout
8346 <cell alignment="center" valignment="top" usebox="none">
8349 \begin_layout Plain Layout
8353 \begin_inset space \textvisiblespace{}
8357 \begin_inset Formula $\downarrow$
8361 \begin_inset Formula $\to$
8369 <cell alignment="center" valignment="top" usebox="none">
8372 \begin_layout Plain Layout
8373 \begin_inset Formula $F(a)\xleftarrow[x>0]{x=a}F(x)$
8382 <row topspace="2mm">
8383 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8386 \begin_layout Plain Layout
8390 \begin_inset space \textvisiblespace{}
8394 \begin_inset Formula $\downarrow$
8398 \begin_inset Formula $\to$
8406 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8409 \begin_layout Plain Layout
8410 \begin_inset Formula $F(x)\xrightarrow[x>0]{x=a}F(a)$
8426 \begin_layout Standard
8427 \begin_inset VSpace medskip
8433 \begin_layout Standard
8443 \begin_inset Index idx
8446 \begin_layout Plain Layout
8447 ぱっけーじ@パッケージ ! mathtools
8456 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.
8459 \begin_layout Standard
8460 \begin_inset Newpage newpage
8466 \begin_layout Standard
8468 \begin_inset space \hspace*{\fill}
8472 \begin_inset Tabular
8473 <lyxtabular version="3" rows="7" columns="2">
8474 <features booktabs="true" tabularvalignment="middle">
8475 <column alignment="center" valignment="top" width="0pt">
8476 <column alignment="center" valignment="top" width="0pt">
8478 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8481 \begin_layout Plain Layout
8487 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8490 \begin_layout Plain Layout
8498 <cell alignment="center" valignment="top" usebox="none">
8501 \begin_layout Plain Layout
8509 <cell alignment="center" valignment="top" usebox="none">
8512 \begin_layout Plain Layout
8513 \begin_inset Formula $\xleftrightarrow[x=a]{x>0}$
8522 <row topspace="2mm">
8523 <cell alignment="center" valignment="top" usebox="none">
8526 \begin_layout Plain Layout
8534 <cell alignment="center" valignment="top" usebox="none">
8537 \begin_layout Plain Layout
8538 \begin_inset Formula $\xLeftarrow[x=a]{x>0}$
8547 <row topspace="2mm">
8548 <cell alignment="center" valignment="top" usebox="none">
8551 \begin_layout Plain Layout
8559 <cell alignment="center" valignment="top" usebox="none">
8562 \begin_layout Plain Layout
8563 \begin_inset Formula $\xRightarrow[x=a]{x>0}$
8572 <row topspace="2mm">
8573 <cell alignment="center" valignment="top" usebox="none">
8576 \begin_layout Plain Layout
8584 <cell alignment="center" valignment="top" usebox="none">
8587 \begin_layout Plain Layout
8588 \begin_inset Formula $\xLeftrightarrow[x=a]{x>0}$
8597 <row topspace="2mm">
8598 <cell alignment="center" valignment="top" usebox="none">
8601 \begin_layout Plain Layout
8609 <cell alignment="center" valignment="top" usebox="none">
8612 \begin_layout Plain Layout
8613 \begin_inset Formula $\xhookleftarrow[x=a]{x>0}$
8622 <row topspace="2mm">
8623 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8626 \begin_layout Plain Layout
8634 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8637 \begin_layout Plain Layout
8638 \begin_inset Formula $\xhookrightarrow[x=a]{x>0}$
8652 \begin_inset space \hspace*{\fill}
8656 \begin_inset Tabular
8657 <lyxtabular version="3" rows="7" columns="2">
8658 <features booktabs="true" tabularvalignment="middle">
8659 <column alignment="center" valignment="top" width="0pt">
8660 <column alignment="center" valignment="top" width="0pt">
8662 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8665 \begin_layout Plain Layout
8671 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8674 \begin_layout Plain Layout
8682 <cell alignment="center" valignment="top" usebox="none">
8685 \begin_layout Plain Layout
8693 <cell alignment="center" valignment="top" usebox="none">
8696 \begin_layout Plain Layout
8697 \begin_inset Formula $\xleftharpoondown[x=a]{x>0}$
8706 <row topspace="2mm">
8707 <cell alignment="center" valignment="top" usebox="none">
8710 \begin_layout Plain Layout
8718 <cell alignment="center" valignment="top" usebox="none">
8721 \begin_layout Plain Layout
8722 \begin_inset Formula $\xleftharpoonup[x=a]{x>0}$
8731 <row topspace="2mm">
8732 <cell alignment="center" valignment="top" usebox="none">
8735 \begin_layout Plain Layout
8743 <cell alignment="center" valignment="top" usebox="none">
8746 \begin_layout Plain Layout
8747 \begin_inset Formula $\xrightharpoondown[x=a]{x>0}$
8756 <row topspace="2mm">
8757 <cell alignment="center" valignment="top" usebox="none">
8760 \begin_layout Plain Layout
8768 <cell alignment="center" valignment="top" usebox="none">
8771 \begin_layout Plain Layout
8772 \begin_inset Formula $\xrightharpoonup[x=a]{x>0}$
8781 <row topspace="2mm">
8782 <cell alignment="center" valignment="top" usebox="none">
8785 \begin_layout Plain Layout
8793 <cell alignment="center" valignment="top" usebox="none">
8796 \begin_layout Plain Layout
8797 \begin_inset Formula $\xleftrightharpoons[x=a]{x>0}$
8806 <row topspace="2mm">
8807 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8810 \begin_layout Plain Layout
8818 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8821 \begin_layout Plain Layout
8822 \begin_inset Formula $\xrightleftharpoons[x=a]{x>0}$
8836 \begin_inset space \hspace*{\fill}
8842 \begin_layout Standard
8843 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.
8846 \begin_layout Standard
8848 \begin_inset Tabular
8849 <lyxtabular version="3" rows="2" columns="2">
8850 <features booktabs="true" tabularvalignment="middle">
8851 <column alignment="center" valignment="top" width="0pt">
8852 <column alignment="center" valignment="top" width="0pt">
8854 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8857 \begin_layout Plain Layout
8863 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8866 \begin_layout Plain Layout
8873 <row bottomspace="0.5mm">
8874 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8877 \begin_layout Plain Layout
8880 xleftrightarrow[x=a]
8883 \begin_inset Formula $\to$
8891 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8894 \begin_layout Plain Layout
8895 \begin_inset Formula $F(a)\xleftrightarrow[x=a]{x>0}F(x)$
8911 \begin_layout Subsection
8913 \begin_inset Index idx
8916 \begin_layout Plain Layout
8923 \begin_inset Index idx
8926 \begin_layout Plain Layout
8935 \begin_layout Standard
8936 \begin_inset space \hfill{}
8940 \begin_inset Tabular
8941 <lyxtabular version="3" rows="7" columns="2">
8942 <features booktabs="true" tabularvalignment="middle">
8943 <column alignment="center" valignment="top" width="0pt">
8944 <column alignment="center" valignment="top" width="0pt">
8946 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8949 \begin_layout Plain Layout
8955 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8958 \begin_layout Plain Layout
8966 <cell alignment="center" valignment="top" usebox="none">
8969 \begin_layout Plain Layout
8977 <cell alignment="center" valignment="top" usebox="none">
8980 \begin_layout Plain Layout
8981 \begin_inset Formula $\uparrow$
8991 <cell alignment="center" valignment="top" usebox="none">
8994 \begin_layout Plain Layout
9002 <cell alignment="center" valignment="top" usebox="none">
9005 \begin_layout Plain Layout
9006 \begin_inset Formula $\Uparrow$
9016 <cell alignment="center" valignment="top" usebox="none">
9019 \begin_layout Plain Layout
9027 <cell alignment="center" valignment="top" usebox="none">
9030 \begin_layout Plain Layout
9031 \begin_inset Formula $\updownarrow$
9041 <cell alignment="center" valignment="top" usebox="none">
9044 \begin_layout Plain Layout
9052 <cell alignment="center" valignment="top" usebox="none">
9055 \begin_layout Plain Layout
9056 \begin_inset Formula $\Updownarrow$
9066 <cell alignment="center" valignment="top" usebox="none">
9069 \begin_layout Plain Layout
9077 <cell alignment="center" valignment="top" usebox="none">
9080 \begin_layout Plain Layout
9081 \begin_inset Formula $\Downarrow$
9091 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9094 \begin_layout Plain Layout
9102 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9105 \begin_layout Plain Layout
9106 \begin_inset Formula $\downarrow$
9120 \begin_inset space \hfill{}
9124 \begin_inset Tabular
9125 <lyxtabular version="3" rows="5" columns="2">
9126 <features booktabs="true" tabularvalignment="middle">
9127 <column alignment="center" valignment="top" width="0pt">
9128 <column alignment="center" valignment="top" width="0pt">
9130 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9133 \begin_layout Plain Layout
9139 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9142 \begin_layout Plain Layout
9150 <cell alignment="center" valignment="top" usebox="none">
9153 \begin_layout Plain Layout
9161 <cell alignment="center" valignment="top" usebox="none">
9164 \begin_layout Plain Layout
9165 \begin_inset Formula $\nearrow$
9175 <cell alignment="center" valignment="top" usebox="none">
9178 \begin_layout Plain Layout
9186 <cell alignment="center" valignment="top" usebox="none">
9189 \begin_layout Plain Layout
9190 \begin_inset Formula $\searrow$
9200 <cell alignment="center" valignment="top" usebox="none">
9203 \begin_layout Plain Layout
9211 <cell alignment="center" valignment="top" usebox="none">
9214 \begin_layout Plain Layout
9215 \begin_inset Formula $\swarrow$
9225 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9228 \begin_layout Plain Layout
9236 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9239 \begin_layout Plain Layout
9240 \begin_inset Formula $\nwarrow$
9254 \begin_inset space \hfill{}
9260 \begin_layout Standard
9261 \begin_inset VSpace medskip
9265 \begin_inset CommandInset ref
9267 reference "subsec:手動の括弧丈"
9272 \begin_inset CommandInset ref
9274 reference "subsec:自動の括弧丈"
9278 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.
9281 \begin_layout Section
9283 \begin_inset CommandInset label
9290 \begin_inset Index idx
9293 \begin_layout Plain Layout
9302 \begin_layout Standard
9306 arg "math-insert \\hat"
9309 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.
9312 \begin_layout Subsection
9317 \begin_layout Plain Layout
9330 \begin_layout Plain Layout
9332 \begin_inset CommandInset ref
9334 reference "subsec:文章中のアクセント"
9347 \begin_layout Plain Layout
9355 \begin_inset Note Note
9358 \begin_layout Plain Layout
9365 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.
9368 \begin_layout Plain Layout
9376 \begin_inset CommandInset ref
9378 reference "subsec:節見出し中の数式"
9388 \begin_inset CommandInset label
9390 name "subsec:一文字に付けるアクセント"
9395 \begin_inset Index idx
9398 \begin_layout Plain Layout
9399 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
9407 \begin_layout Standard
9408 \begin_inset space \hfill{}
9412 \begin_inset Tabular
9413 <lyxtabular version="3" rows="8" columns="2">
9414 <features booktabs="true" tabularvalignment="middle">
9415 <column alignment="center" valignment="top" width="0pt">
9416 <column alignment="center" valignment="top" width="0pt">
9418 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9421 \begin_layout Plain Layout
9427 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9430 \begin_layout Plain Layout
9437 <row topspace="1.5mm">
9438 <cell alignment="center" valignment="top" usebox="none">
9441 \begin_layout Plain Layout
9445 \begin_inset space \textvisiblespace{}
9453 <cell alignment="center" valignment="top" usebox="none">
9456 \begin_layout Plain Layout
9457 \begin_inset Formula $\dot{A}$
9466 <row topspace="1.5mm">
9467 <cell alignment="center" valignment="top" usebox="none">
9470 \begin_layout Plain Layout
9474 \begin_inset space \textvisiblespace{}
9482 <cell alignment="center" valignment="top" usebox="none">
9485 \begin_layout Plain Layout
9486 \begin_inset Formula $\ddot{A}$
9495 <row topspace="1.5mm">
9496 <cell alignment="center" valignment="top" usebox="none">
9499 \begin_layout Plain Layout
9503 \begin_inset space \textvisiblespace{}
9511 <cell alignment="center" valignment="top" usebox="none">
9514 \begin_layout Plain Layout
9515 \begin_inset Formula $\dddot{A}$
9524 <row topspace="1.5mm">
9525 <cell alignment="center" valignment="top" usebox="none">
9528 \begin_layout Plain Layout
9532 \begin_inset space \textvisiblespace{}
9540 <cell alignment="center" valignment="top" usebox="none">
9543 \begin_layout Plain Layout
9544 \begin_inset Formula $\ddddot{A}$
9553 <row topspace="1.5mm">
9554 <cell alignment="center" valignment="top" usebox="none">
9557 \begin_layout Plain Layout
9561 \begin_inset space \textvisiblespace{}
9565 \begin_inset Index idx
9568 \begin_layout Plain Layout
9579 <cell alignment="center" valignment="top" usebox="none">
9582 \begin_layout Plain Layout
9583 \begin_inset Formula $\vec{A}$
9592 <row topspace="1.5mm">
9593 <cell alignment="center" valignment="top" usebox="none">
9596 \begin_layout Plain Layout
9600 \begin_inset space \textvisiblespace{}
9608 <cell alignment="center" valignment="top" usebox="none">
9611 \begin_layout Plain Layout
9612 \begin_inset Formula $\bar{A}$
9621 <row topspace="1.5mm">
9622 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9625 \begin_layout Plain Layout
9629 \begin_inset space \textvisiblespace{}
9637 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9640 \begin_layout Plain Layout
9641 \begin_inset Formula $\mathring{A}$
9655 \begin_inset space \hfill{}
9659 \begin_inset Tabular
9660 <lyxtabular version="3" rows="7" columns="2">
9661 <features booktabs="true" tabularvalignment="middle">
9662 <column alignment="center" valignment="top" width="0pt">
9663 <column alignment="center" valignment="top" width="0pt">
9665 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9668 \begin_layout Plain Layout
9674 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9677 \begin_layout Plain Layout
9684 <row topspace="1.5mm">
9685 <cell alignment="center" valignment="top" usebox="none">
9688 \begin_layout Plain Layout
9692 \begin_inset space \textvisiblespace{}
9700 <cell alignment="center" valignment="top" usebox="none">
9703 \begin_layout Plain Layout
9704 \begin_inset Formula $\tilde{A}$
9713 <row topspace="1.5mm">
9714 <cell alignment="center" valignment="top" usebox="none">
9717 \begin_layout Plain Layout
9721 \begin_inset space \textvisiblespace{}
9729 <cell alignment="center" valignment="top" usebox="none">
9732 \begin_layout Plain Layout
9733 \begin_inset Formula $\hat{A}$
9742 <row topspace="1.5mm">
9743 <cell alignment="center" valignment="top" usebox="none">
9746 \begin_layout Plain Layout
9750 \begin_inset space \textvisiblespace{}
9758 <cell alignment="center" valignment="top" usebox="none">
9761 \begin_layout Plain Layout
9762 \begin_inset Formula $\check{A}$
9771 <row topspace="1.5mm">
9772 <cell alignment="center" valignment="top" usebox="none">
9775 \begin_layout Plain Layout
9779 \begin_inset space \textvisiblespace{}
9787 <cell alignment="center" valignment="top" usebox="none">
9790 \begin_layout Plain Layout
9791 \begin_inset Formula $\acute{A}$
9800 <row topspace="1.5mm">
9801 <cell alignment="center" valignment="top" usebox="none">
9804 \begin_layout Plain Layout
9808 \begin_inset space \textvisiblespace{}
9816 <cell alignment="center" valignment="top" usebox="none">
9819 \begin_layout Plain Layout
9820 \begin_inset Formula $\grave{A}$
9829 <row topspace="1.5mm">
9830 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9833 \begin_layout Plain Layout
9837 \begin_inset space \textvisiblespace{}
9845 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9848 \begin_layout Plain Layout
9849 \begin_inset Formula $\breve{A}$
9863 \begin_inset space \hfill{}
9869 \begin_layout Standard
9870 \begin_inset VSpace bigskip
9876 \begin_layout Standard
9880 \begin_layout Plain Layout
9889 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
9890 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
9891 \begin_inset Index idx
9894 \begin_layout Plain Layout
9900 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
9901 は,引用符と母音をまとめて一つの文字として取り
9908 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.
9911 \begin_layout Standard
9912 \begin_inset VSpace -2mm
9918 \begin_layout Standard
9920 \begin_inset Tabular
9921 <lyxtabular version="3" rows="3" columns="2">
9922 <features booktabs="true" tabularvalignment="middle">
9923 <column alignment="center" valignment="top" width="0pt">
9924 <column alignment="center" valignment="top">
9926 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9929 \begin_layout Plain Layout
9935 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9938 \begin_layout Plain Layout
9946 <cell alignment="center" valignment="top" usebox="none">
9949 \begin_layout Plain Layout
9950 \begin_inset Quotes grd
9958 <cell alignment="center" valignment="top" usebox="none">
9961 \begin_layout Plain Layout
9964 \begin_inset space \hspace{}
9969 \begin_inset Formula $"i$
9978 <row topspace="1.5mm">
9979 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9982 \begin_layout Plain Layout
9986 \begin_inset space \textvisiblespace{}
9994 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9997 \begin_layout Plain Layout
9998 \begin_inset Formula $\ddot{i}$
10014 \begin_layout Standard
10021 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
10025 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
10026 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.
10029 \begin_layout Standard
10030 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.
10033 \begin_layout Standard
10034 \begin_inset VSpace bigskip
10040 \begin_layout Standard
10042 は,\SpecialChar LaTeX
10048 \begin_inset Index idx
10051 \begin_layout Plain Layout
10052 ぱっけーじ@パッケージ ! upgreek
10057 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.
10060 \begin_layout Standard
10064 \begin_layout Plain Layout
10074 \begin_inset Note Note
10077 \begin_layout Plain Layout
10083 パッケージが導入済みのときのみ表示されます.
10091 \begin_layout Standard
10094 \begin_inset Tabular
10095 <lyxtabular version="3" rows="2" columns="2">
10096 <features booktabs="true" tabularvalignment="middle">
10097 <column alignment="center" valignment="top" width="0pt">
10098 <column alignment="center" valignment="top" width="0pt">
10100 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10103 \begin_layout Plain Layout
10109 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
10112 \begin_layout Plain Layout
10120 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
10123 \begin_layout Plain Layout
10127 \begin_inset space \textvisiblespace{}
10135 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
10138 \begin_layout Plain Layout
10139 \begin_inset Formula $\utilde{A}$
10155 \begin_layout Standard
10159 \begin_layout Plain Layout
10169 \begin_inset Note Note
10172 \begin_layout Plain Layout
10178 パッケージが導入されていないときのみ表示されます.
10186 \begin_layout Standard
10195 \begin_layout Standard
10199 \begin_layout Plain Layout
10211 \begin_layout Standard
10212 \begin_inset Newpage newpage
10218 \begin_layout Subsection
10220 \begin_inset Index idx
10223 \begin_layout Plain Layout
10224 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
10232 \begin_layout Standard
10233 \begin_inset space \hfill{}
10237 \begin_inset Tabular
10238 <lyxtabular version="3" rows="5" columns="2">
10239 <features booktabs="true" tabularvalignment="middle">
10240 <column alignment="center" valignment="top" width="0pt">
10241 <column alignment="center" valignment="top" width="0pt">
10243 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10246 \begin_layout Plain Layout
10252 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
10255 \begin_layout Plain Layout
10262 <row topspace="1.5mm">
10263 <cell alignment="center" valignment="top" usebox="none">
10266 \begin_layout Plain Layout
10270 \begin_inset space \textvisiblespace{}
10278 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10281 \begin_layout Plain Layout
10282 \begin_inset Formula $\overleftarrow{A=B}$
10291 <row topspace="1.5mm">
10292 <cell alignment="center" valignment="top" usebox="none">
10295 \begin_layout Plain Layout
10299 \begin_inset space \textvisiblespace{}
10307 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10310 \begin_layout Plain Layout
10311 \begin_inset Formula $\underleftarrow{A=B}$
10320 <row topspace="1.5mm">
10321 <cell alignment="center" valignment="top" usebox="none">
10324 \begin_layout Plain Layout
10328 \begin_inset space \textvisiblespace{}
10336 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10339 \begin_layout Plain Layout
10340 \begin_inset Formula $\overleftrightarrow{A=B}$
10349 <row topspace="1.5mm" bottomspace="1mm">
10350 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
10353 \begin_layout Plain Layout
10356 underleftrightarrow
10357 \begin_inset space \textvisiblespace{}
10365 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
10368 \begin_layout Plain Layout
10369 \begin_inset Formula $\underleftrightarrow{A=B}$
10383 \begin_inset space \hfill{}
10387 \begin_inset Tabular
10388 <lyxtabular version="3" rows="5" columns="2">
10389 <features booktabs="true" tabularvalignment="middle">
10390 <column alignment="center" valignment="top" width="0pt">
10391 <column alignment="center" valignment="top" width="0pt">
10393 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10396 \begin_layout Plain Layout
10402 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
10405 \begin_layout Plain Layout
10412 <row topspace="1.5mm">
10413 <cell alignment="center" valignment="top" usebox="none">
10416 \begin_layout Plain Layout
10420 \begin_inset space \textvisiblespace{}
10428 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10431 \begin_layout Plain Layout
10432 \begin_inset Formula $\overrightarrow{A=B}$
10441 <row topspace="1.5mm">
10442 <cell alignment="center" valignment="top" usebox="none">
10445 \begin_layout Plain Layout
10449 \begin_inset space \textvisiblespace{}
10457 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10460 \begin_layout Plain Layout
10461 \begin_inset Formula $\underrightarrow{A=B}$
10470 <row topspace="1.5mm">
10471 <cell alignment="center" valignment="top" usebox="none">
10474 \begin_layout Plain Layout
10478 \begin_inset space \textvisiblespace{}
10486 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10489 \begin_layout Plain Layout
10490 \begin_inset Formula $\widetilde{A=B}$
10499 <row topspace="1.5mm" bottomspace="1mm">
10500 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
10503 \begin_layout Plain Layout
10507 \begin_inset space \textvisiblespace{}
10515 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
10518 \begin_layout Plain Layout
10519 \begin_inset Formula $\widehat{A=B}$
10533 \begin_inset space \hfill{}
10539 \begin_layout Standard
10540 \begin_inset VSpace medskip
10543 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,
10555 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.
10556 \begin_inset Formula
10558 \widetilde{A+B=C-D}
10566 \begin_layout Standard
10574 \begin_inset Index idx
10577 \begin_layout Plain Layout
10592 \begin_inset Index idx
10595 \begin_layout Plain Layout
10603 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.
10608 \begin_inset space \textvisiblespace{}
10612 \begin_inset Formula $\downarrow$
10618 \begin_inset Formula
10620 \underset{***}{A=B}
10628 \begin_layout Section
10630 \begin_inset CommandInset label
10637 \begin_inset Index idx
10640 \begin_layout Plain Layout
10642 \begin_inset space \thinspace{}
10653 \begin_layout Subsection
10655 \begin_inset CommandInset label
10657 name "subsec:定義済みの空白"
10662 \begin_inset Index idx
10665 \begin_layout Plain Layout
10667 \begin_inset space \thinspace{}
10678 \begin_layout Standard
10679 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(
10680 \begin_inset Flex Ruby
10683 \begin_layout Plain Layout
10685 \begin_inset Argument post:1
10688 \begin_layout Plain Layout
10702 arg "command-alternatives space-insert protected ; math-space"
10708 \begin_inset space \textvisiblespace{}
10717 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
10720 arg "math-insert \\space"
10723 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
10727 を押すことによって,長さを変更することができます.
10730 \begin_layout Standard
10733 \begin_inset Tabular
10734 <lyxtabular version="3" rows="6" columns="3">
10735 <features booktabs="true" tabularvalignment="middle">
10736 <column alignment="center" valignment="top">
10737 <column alignment="center" valignment="top" width="15col%">
10738 <column alignment="center" valignment="top">
10740 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10743 \begin_layout Plain Layout
10749 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10752 \begin_layout Plain Layout
10762 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
10765 \begin_layout Plain Layout
10773 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10776 \begin_layout Plain Layout
10784 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10787 \begin_layout Plain Layout
10793 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10796 \begin_layout Plain Layout
10797 \begin_inset Formula $A\,B$
10807 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10810 \begin_layout Plain Layout
10818 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10821 \begin_layout Plain Layout
10827 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10830 \begin_layout Plain Layout
10831 \begin_inset Formula $A\:B$
10841 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10844 \begin_layout Plain Layout
10852 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10855 \begin_layout Plain Layout
10861 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10864 \begin_layout Plain Layout
10865 \begin_inset Formula $A\;B$
10875 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10878 \begin_layout Plain Layout
10886 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10889 \begin_layout Plain Layout
10895 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10898 \begin_layout Plain Layout
10899 \begin_inset Formula $A\quad B$
10909 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
10912 \begin_layout Plain Layout
10920 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
10923 \begin_layout Plain Layout
10929 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
10932 \begin_layout Plain Layout
10933 \begin_inset Formula $A\qquad B$
10947 \begin_inset space \hfill{}
10951 \begin_inset Tabular
10952 <lyxtabular version="3" rows="6" columns="3">
10953 <features booktabs="true" tabularvalignment="middle">
10954 <column alignment="center" valignment="top">
10955 <column alignment="center" valignment="top" width="15col%">
10956 <column alignment="center" valignment="top">
10958 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10961 \begin_layout Plain Layout
10967 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10970 \begin_layout Plain Layout
10980 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
10983 \begin_layout Plain Layout
10991 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10994 \begin_layout Plain Layout
11002 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11005 \begin_layout Plain Layout
11011 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11014 \begin_layout Plain Layout
11015 \begin_inset Formula $A\hfill B$
11025 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11028 \begin_layout Plain Layout
11036 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11039 \begin_layout Plain Layout
11045 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11048 \begin_layout Plain Layout
11049 \begin_inset Formula $A\hspace*{1em}B$
11059 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11062 \begin_layout Plain Layout
11070 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11073 \begin_layout Plain Layout
11079 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11082 \begin_layout Plain Layout
11083 \begin_inset Formula $A\hspace{1em}B$
11093 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11096 \begin_layout Plain Layout
11100 \begin_inset space \textvisiblespace{}
11108 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11111 \begin_layout Plain Layout
11117 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11120 \begin_layout Plain Layout
11121 \begin_inset Formula $A\ B$
11131 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11134 \begin_layout Plain Layout
11142 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11145 \begin_layout Plain Layout
11151 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
11154 \begin_layout Plain Layout
11155 \begin_inset Formula $A\!B$
11171 \begin_layout Standard
11175 \begin_inset space \thinspace{}
11183 \begin_inset space \thinspace{}
11193 \begin_inset CommandInset ref
11195 reference "subsec:可変長の空白"
11199 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
11201 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.
11204 \begin_layout Standard
11206 \begin_inset Tabular
11207 <lyxtabular version="3" rows="3" columns="3">
11208 <features booktabs="true" tabularvalignment="middle">
11209 <column alignment="center" valignment="middle" width="6.8cm">
11210 <column alignment="center" valignment="top" width="0pt">
11211 <column alignment="center" valignment="top" width="0pt">
11213 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11216 \begin_layout Plain Layout
11222 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11225 \begin_layout Plain Layout
11233 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
11236 \begin_layout Plain Layout
11246 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11249 \begin_layout Plain Layout
11259 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11262 \begin_layout Plain Layout
11268 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
11271 \begin_layout Plain Layout
11279 <cell multicolumn="1" alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11282 \begin_layout Plain Layout
11288 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11291 \begin_layout Plain Layout
11292 \begin_inset Formula $A\negmedspace B$
11300 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
11303 \begin_layout Plain Layout
11304 \begin_inset Formula $A\negthickspace B$
11320 \begin_layout Standard
11321 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.
11324 \begin_layout Standard
11326 \begin_inset Tabular
11327 <lyxtabular version="3" rows="3" columns="2">
11328 <features booktabs="true" tabularvalignment="middle">
11329 <column alignment="center" valignment="top" width="0pt">
11330 <column alignment="center" valignment="top">
11332 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11335 \begin_layout Plain Layout
11341 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
11344 \begin_layout Plain Layout
11352 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11355 \begin_layout Plain Layout
11361 \begin_inset space \textvisiblespace{}
11369 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11372 \begin_layout Plain Layout
11373 \begin_inset Formula $\sum\sum f_{kl}$
11383 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11386 \begin_layout Plain Layout
11394 \begin_inset space \textvisiblespace{}
11402 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
11405 \begin_layout Plain Layout
11406 \begin_inset Formula $\sum\negmedspace\sum f_{kl}$
11422 \begin_layout Standard
11424 \begin_inset VSpace medskip
11430 \begin_layout Standard
11432 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
11433 括弧で囲みます.以下の例にこれを示します.
11436 \begin_layout Standard
11438 \begin_inset Tabular
11439 <lyxtabular version="3" rows="2" columns="2">
11440 <features booktabs="true" tabularvalignment="middle">
11441 <column alignment="center" valignment="top" width="0pt">
11442 <column alignment="center" valignment="top" width="0pt">
11444 <cell alignment="center" valignment="top" usebox="none">
11447 \begin_layout Plain Layout
11453 <cell alignment="center" valignment="top" usebox="none">
11456 \begin_layout Plain Layout
11457 \begin_inset Formula $A=B$
11467 <cell alignment="center" valignment="top" usebox="none">
11470 \begin_layout Plain Layout
11476 <cell multicolumn="1" alignment="center" valignment="top" usebox="none">
11479 \begin_layout Plain Layout
11480 \begin_inset Formula $A{=}B$
11496 \begin_layout Standard
11503 \begin_inset Formula $\to$
11511 \begin_layout Standard
11512 \begin_inset VSpace bigskip
11515 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
11516 整形\SpecialChar menuseparator
11518 \begin_inset Flex Ruby
11521 \begin_layout Plain Layout
11523 \begin_inset Argument post:1
11526 \begin_layout Plain Layout
11540 arg "space-insert thin"
11543 )で,最小の空白を挿入することができます.
11546 \begin_layout Standard
11550 \begin_layout Standard
11551 \begin_inset Tabular
11552 <lyxtabular version="3" rows="2" columns="2">
11553 <features tabularvalignment="middle">
11554 <column alignment="left" valignment="top">
11555 <column alignment="left" valignment="top">
11557 <cell alignment="center" valignment="top" usebox="none">
11560 \begin_layout Plain Layout
11562 \begin_inset Formula $\cdot$
11570 <cell alignment="center" valignment="top" usebox="none">
11573 \begin_layout Plain Layout
11574 値と単位のあいだに通常の空白を入れた例
11581 <cell alignment="center" valignment="top" usebox="none">
11584 \begin_layout Plain Layout
11586 \begin_inset space \thinspace{}
11590 \begin_inset Formula $\cdot$
11598 <cell alignment="center" valignment="top" usebox="none">
11601 \begin_layout Plain Layout
11602 値と単位のあいだに最小の空白を入れた例
11615 \begin_layout Subsection
11620 \begin_layout Plain Layout
11633 \begin_layout Plain Layout
11635 \begin_inset CommandInset ref
11637 reference "subsec:行間"
11650 \begin_layout Plain Layout
11658 \begin_inset Note Note
11661 \begin_layout Plain Layout
11664 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.
11667 \begin_layout Plain Layout
11670 texorpdfstringについての詳細は,第
11671 \begin_inset CommandInset ref
11673 reference "subsec:節見出し中の数式"
11683 \begin_inset CommandInset label
11685 name "subsec:可変長の空白"
11690 \begin_inset Index idx
11693 \begin_layout Plain Layout
11695 \begin_inset space \thinspace{}
11706 \begin_layout Standard
11714 \begin_inset Index idx
11717 \begin_layout Plain Layout
11725 コマンドで入力することができます.すると,ながい「
11728 \begin_inset space \textvisiblespace{}
11736 \begin_inset space \textvisiblespace{}
11741 」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
11758 \begin_inset space \textvisiblespace{}
11769 \begin_inset Newline newline
11772 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,
11779 \begin_inset Index idx
11782 \begin_layout Plain Layout
11793 \begin_layout Standard
11795 \begin_inset Tabular
11796 <lyxtabular version="3" rows="4" columns="2">
11797 <features booktabs="true" tabularvalignment="middle">
11798 <column alignment="center" valignment="top" width="0pt">
11799 <column alignment="center" valignment="top">
11801 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11804 \begin_layout Plain Layout
11812 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
11815 \begin_layout Plain Layout
11823 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11826 \begin_layout Plain Layout
11830 \begin_inset space \textvisiblespace{}
11836 \begin_inset space \thinspace{}
11844 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11847 \begin_layout Plain Layout
11848 \begin_inset Formula $A=B\hspace{3cm}A\not=C$
11858 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11861 \begin_layout Plain Layout
11865 \begin_inset space \textvisiblespace{}
11871 \begin_inset space \thinspace{}
11879 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11882 \begin_layout Plain Layout
11883 \begin_inset Formula $A\hspace{-1mm}A\not=A$
11893 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11896 \begin_layout Plain Layout
11900 \begin_inset space \textvisiblespace{}
11908 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
11911 \begin_layout Plain Layout
11912 \begin_inset Formula $A=A\hfill B=B$
11928 \begin_layout Standard
11929 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,
11935 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
11945 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
11946 \begin_inset CommandInset ref
11948 reference "sec:数式様式"
11955 \begin_layout Standard
11974 といったコマンドがあります.用例については第
11975 \begin_inset CommandInset ref
11977 reference "subsec:省略符号"
11984 \begin_layout Standard
11987 挿入\SpecialChar menuseparator
11988 整形\SpecialChar menuseparator
11994 \begin_layout Standard
11998 \begin_layout Standard
12000 \begin_inset space \hspace{}
12005 \begin_inset space \thinspace{}
12011 \begin_layout Standard
12013 \begin_inset space \hfill{}
12019 \begin_layout Subsection
12021 \begin_inset Index idx
12024 \begin_layout Plain Layout
12025 くうはく@空白 ! ぎょうないすうしきまわり@行内数式周り
12033 \begin_layout Standard
12039 \begin_inset Index idx
12042 \begin_layout Plain Layout
12052 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
12057 \begin_inset Index idx
12060 \begin_layout Plain Layout
12070 コマンドを使って設定することができます.
12073 \begin_layout Standard
12081 \begin_layout Standard
12089 \begin_inset space \thinspace{}
12092 mmの値に設定するには,以下のコマンド
12095 \begin_layout Standard
12105 \begin_layout Standard
12108 \begin_inset space \thinspace{}
12111 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.
12115 \begin_layout Plain Layout
12129 \begin_layout Standard
12131 \begin_inset space \thinspace{}
12135 \begin_inset Formula $A=B$
12142 \begin_layout Plain Layout
12156 \begin_layout Standard
12164 \begin_inset space \thinspace{}
12170 \begin_layout Section
12172 \begin_inset Index idx
12175 \begin_layout Plain Layout
12182 \begin_inset Index idx
12185 \begin_layout Plain Layout
12190 \begin_layout Plain Layout
12201 \begin_layout Plain Layout
12216 \begin_layout Standard
12217 本文中のボックスについては,取扱説明書
12228 \begin_layout Subsection
12230 \begin_inset CommandInset label
12232 name "subsec:枠付きボックス"
12237 \begin_inset Index idx
12240 \begin_layout Plain Layout
12241 ぼっくす@ボックス ! わくつき@枠付き
12242 \begin_inset space \thinspace{}
12253 \begin_layout Standard
12261 \begin_inset Index idx
12264 \begin_layout Plain Layout
12279 \begin_inset Index idx
12282 \begin_layout Plain Layout
12290 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.
12293 \begin_layout Standard
12294 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.
12300 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,
12304 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.
12310 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.
12313 \begin_layout Standard
12320 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
12326 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.
12329 \begin_layout Standard
12336 の拡張として,枠幅と配置も指定することができる
12343 \begin_inset Index idx
12346 \begin_layout Plain Layout
12363 \begin_layout Standard
12368 framebox[枠幅][位置]{ボックスの内容}
12371 \begin_layout Standard
12388 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.
12389 \begin_inset Newline newline
12392 「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,
12398 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.
12401 \begin_layout Standard
12408 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,
12414 同様,数式の断片を入れるためのものです.
12417 \begin_layout Standard
12419 \begin_inset Tabular
12420 <lyxtabular version="3" rows="5" columns="2">
12421 <features booktabs="true" tabularvalignment="middle">
12422 <column alignment="center" valignment="top" width="0pt">
12423 <column alignment="center" valignment="top">
12425 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
12428 \begin_layout Plain Layout
12434 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
12437 \begin_layout Plain Layout
12444 <row topspace="1.5mm">
12445 <cell alignment="center" valignment="top" usebox="none">
12448 \begin_layout Plain Layout
12452 \begin_inset space \textvisiblespace{}
12462 \begin_inset space \textvisiblespace{}
12470 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12473 \begin_layout Plain Layout
12474 \begin_inset Formula $\fbox{\ensuremath{\int A=B}}$
12483 <row topspace="1.5mm">
12484 <cell alignment="center" valignment="top" usebox="none">
12487 \begin_layout Plain Layout
12491 \begin_inset space \textvisiblespace{}
12497 \begin_inset space \textvisiblespace{}
12505 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12508 \begin_layout Plain Layout
12509 \begin_inset Formula $\boxed{\int A=B}$
12518 <row topspace="1.5mm">
12519 <cell alignment="center" valignment="top" usebox="none">
12522 \begin_layout Plain Layout
12526 \begin_inset space \textvisiblespace{}
12534 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12537 \begin_layout Plain Layout
12538 \begin_inset Formula $A+\fbox{B}$
12547 <row topspace="1.5mm" bottomspace="1mm">
12548 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
12551 \begin_layout Plain Layout
12555 \begin_inset space \textvisiblespace{}
12559 \begin_inset Formula $\to$
12563 \begin_inset Formula $\to$
12573 \begin_inset space \textvisiblespace{}
12577 \begin_inset Formula $\downarrow$
12585 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
12588 \begin_layout Plain Layout
12589 \begin_inset Formula $\framebox[20mm][]{\ensuremath{\frac{A}{B}}}$
12605 \begin_layout Standard
12606 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
12610 \begin_layout Standard
12620 \begin_inset Quotes eld
12624 \begin_inset Quotes erd
12638 \begin_inset Quotes eld
12642 \begin_inset Quotes erd
12648 \begin_layout Standard
12649 \begin_inset Quotes eld
12653 \begin_inset Quotes erd
12656 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.
12660 \begin_layout Plain Layout
12672 \begin_inset Formula
12682 \begin_layout Standard
12704 \begin_layout Standard
12705 というコマンドが,\SpecialChar TeX
12706 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.
12709 \begin_layout Standard
12713 \begin_layout Standard
12738 \begin_layout Plain Layout
12752 \begin_layout Standard
12753 というコマンドを,次の数式が始まる前に\SpecialChar TeX
12757 \begin_layout Subsection
12759 \begin_inset CommandInset label
12761 name "subsec:枠なしボックス"
12766 \begin_inset Index idx
12769 \begin_layout Plain Layout
12770 ぼっくす@ボックス ! わくなし@枠なし
12771 \begin_inset space \thinspace{}
12782 \begin_layout Standard
12790 \begin_inset Index idx
12793 \begin_layout Plain Layout
12808 \begin_inset Index idx
12811 \begin_layout Plain Layout
12826 \begin_inset Index idx
12829 \begin_layout Plain Layout
12840 \begin_layout Standard
12847 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.
12856 \begin_layout Standard
12861 raisebox{高さ}{ボックスの内容}
12864 \begin_layout Standard
12871 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.
12872 \begin_inset Note Greyedout
12875 \begin_layout Plain Layout
12890 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
12905 \begin_layout Standard
12907 \begin_inset Tabular
12908 <lyxtabular version="3" rows="4" columns="2">
12909 <features booktabs="true" tabularvalignment="middle">
12910 <column alignment="center" valignment="top" width="0pt">
12911 <column alignment="center" valignment="top">
12913 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
12916 \begin_layout Plain Layout
12922 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
12925 \begin_layout Plain Layout
12933 <cell alignment="center" valignment="top" leftline="true" usebox="none">
12936 \begin_layout Plain Layout
12940 \begin_inset Formula $\to$
12946 \begin_inset Formula $\to$
12954 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12957 \begin_layout Plain Layout
12958 \begin_inset Formula $H\raisebox{2mm}{al}lo$
12968 <cell alignment="center" valignment="top" leftline="true" usebox="none">
12971 \begin_layout Plain Layout
12975 \begin_inset Formula $\to$
12981 \begin_inset Formula $\to$
12989 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12992 \begin_layout Plain Layout
12993 \begin_inset Formula $H\raisebox{-2mm}{al}lo$
13003 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
13006 \begin_layout Plain Layout
13010 \begin_inset Formula $\to$
13022 \begin_inset space \textvisiblespace{}
13030 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
13033 \begin_layout Plain Layout
13034 \begin_inset Formula $A=\raisebox{-2mm}{\mbox{\ensuremath{\sqrt{B}}}}$
13050 \begin_layout Standard
13078 \begin_layout Subsection
13080 \begin_inset CommandInset label
13082 name "subsec:色付きボックス"
13087 \begin_inset Index idx
13090 \begin_layout Plain Layout
13091 ぼっくす@ボックス ! いろつき@色付き
13092 \begin_inset space \thinspace{}
13103 \begin_layout Standard
13104 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
13108 \begin_layout Standard
13116 \begin_layout Standard
13121 \begin_layout Plain Layout
13122 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
13123 は,自動的に\SpecialChar LaTeX
13128 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.
13134 \begin_inset Note Note
13137 \begin_layout Plain Layout
13138 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
13139 プリアンブルにマクロを挿入してあります.
13144 を書き加えて,\SpecialChar LaTeX
13153 \begin_layout Plain Layout
13159 は,すべての標準的な\SpecialChar LaTeX
13166 \begin_inset Index idx
13169 \begin_layout Plain Layout
13170 ぱっけーじ@パッケージ ! color
13178 \begin_layout Standard
13179 \begin_inset VSpace medskip
13189 \begin_inset Index idx
13192 \begin_layout Plain Layout
13203 \begin_layout Standard
13208 colorbox{色}{ボックスの内容}
13211 \begin_layout Standard
13212 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,
13218 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,
13224 と同様,明示的に数式を作らなくてはなりません
13228 \begin_layout Plain Layout
13243 \begin_layout Standard
13247 \begin_layout Standard
13283 \begin_layout Standard
13287 \begin_layout Standard
13289 \begin_inset Tabular
13290 <lyxtabular version="3" rows="4" columns="2">
13291 <features booktabs="true" tabularvalignment="middle">
13292 <column alignment="center" valignment="top" width="0pt">
13293 <column alignment="center" valignment="top">
13295 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
13298 \begin_layout Plain Layout
13304 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
13307 \begin_layout Plain Layout
13315 <cell alignment="center" valignment="top" leftline="true" usebox="none">
13318 \begin_layout Plain Layout
13322 \begin_inset Formula $\to$
13332 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
13335 \begin_layout Plain Layout
13336 \begin_inset Formula $\colorbox{yellow}{A=B}$
13345 <row topspace="1.5mm">
13346 <cell alignment="center" valignment="top" usebox="none">
13349 \begin_layout Plain Layout
13353 \begin_inset Formula $\to$
13361 \begin_inset space \textvisiblespace{}
13369 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
13372 \begin_layout Plain Layout
13373 \begin_inset Formula $\colorbox{green}{\fbox{A=B}}$
13382 <row topspace="1.5mm" bottomspace="1mm">
13383 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
13386 \begin_layout Plain Layout
13390 \begin_inset space \textvisiblespace{}
13396 \begin_inset Formula $\to$
13412 \begin_inset space \textvisiblespace{}
13420 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
13423 \begin_layout Plain Layout
13424 \begin_inset Formula $\fbox{\colorbox{green}{\mbox{\ensuremath{\int C=D}}}}$
13440 \begin_layout Standard
13447 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,
13451 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
13454 arg "dialog-show character"
13459 編集\SpecialChar menuseparator
13460 文字様式\SpecialChar menuseparator
13463 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
13467 \begin_layout Standard
13471 \begin_layout Standard
13474 \begin_inset Formula
13476 \int A=B\label{eq:red}
13484 \begin_inset Formula
13486 \textcolor{red}{\int A=B}\label{eq:redgreen}
13494 \begin_layout Standard
13496 \begin_inset CommandInset ref
13503 \begin_inset Newline newline
13507 \begin_inset CommandInset ref
13509 reference "eq:redgreen"
13513 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.
13516 \begin_layout Standard
13517 \begin_inset VSpace bigskip
13527 \begin_inset Index idx
13530 \begin_layout Plain Layout
13541 \begin_layout Standard
13546 fcolorbox{枠の色}{色}{ボックスの内容}
13549 \begin_layout Standard
13584 \begin_layout Plain Layout
13596 \begin_inset Formula
13598 \fcolorbox{cyan}{magenta}{A=B}
13607 \begin_layout Plain Layout
13621 \begin_layout Standard
13622 上記の数式は,以下のコマンドで作成されています.
13623 \begin_inset Newline newline
13631 \begin_inset Formula $\to$
13637 \begin_inset Formula $\to$
13647 \begin_layout Standard
13648 \begin_inset VSpace bigskip
13651 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.
13654 \begin_layout Standard
13659 」という色を定義するには,\SpecialChar LaTeX
13663 \begin_layout Standard
13668 definecolor{darkgreen}{cmyk}{0.5,
13683 \begin_inset Index idx
13686 \begin_layout Plain Layout
13697 \begin_layout Standard
13701 \begin_layout Standard
13722 (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
13723 \begin_inset space \thinspace{}
13727 \begin_inset space \thinspace{}
13730 1の範囲をとることができます.定義には,
13754 (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
13761 \begin_layout Standard
13770 という色を持つ枠付きボックスを挙げておきます.
13771 \begin_inset Formula
13773 \colorbox{darkgreen}{\color{yellow}\boxed{\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}}
13781 \begin_layout Standard
13788 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.
13789 \begin_inset Index idx
13792 \begin_layout Plain Layout
13793 てきすと@テキスト ! いろつき@色付き
13801 \begin_layout Standard
13805 \begin_layout Plain Layout
13809 textcolor{darkgreen}{
13818 \begin_layout Plain Layout
13828 \begin_layout Standard
13836 \begin_inset Index idx
13839 \begin_layout Plain Layout
13851 textcolor{色}{色付けをする文}
13856 \begin_layout Subsection
13858 \begin_inset CommandInset label
13860 name "subsec:段落ボックス"
13865 \begin_inset Index idx
13868 \begin_layout Plain Layout
13869 ぼっくす@ボックス ! だんらく@段落
13870 \begin_inset space \thinspace{}
13881 \begin_layout Standard
13882 いくつかの行や段落を含む,いわゆる段落ボックス(parbox)は,
13884 挿入\SpecialChar menuseparator
13896 \begin_layout Standard
13897 以下の例は,行中の枠付きparboxを示したものです.
13900 \begin_layout Standard
13901 \begin_inset VSpace medskip
13905 \begin_inset Box Boxed
13915 height_special "totalheight"
13920 backgroundcolor "none"
13923 \begin_layout Plain Layout
13924 これは段落ボックスです.これはちょうど5
13925 \begin_inset space \thinspace{}
13928 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.
13929 \begin_inset Formula $\int A\,\mathrm{d}s=C$
13940 \begin_layout Standard
13941 \begin_inset VSpace medskip
13947 \begin_layout Standard
13948 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,
13961 \begin_inset space \thinspace{}
13971 \begin_layout Standard
13972 \begin_inset VSpace medskip
13976 では,parboxは,以下の書式を持つ
13983 \begin_inset Index idx
13986 \begin_layout Plain Layout
13997 \begin_layout Standard
14002 parbox[位置]{幅}{ボックスの内容}
14005 \begin_layout Standard
14014 の値をとることができます.下揃えを意味する
14018 (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
14022 (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
14029 \begin_layout Standard
14030 \begin_inset VSpace bigskip
14033 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
14049 \begin_inset Index idx
14052 \begin_layout Plain Layout
14062 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
14063 うためには,\SpecialChar LaTeX
14072 \begin_layout Plain Layout
14077 は,標準的\SpecialChar LaTeX
14084 \begin_inset Index idx
14087 \begin_layout Plain Layout
14093 を,\SpecialChar LaTeX
14097 \begin_layout Standard
14105 \begin_layout Standard
14106 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
14111 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.
14115 \begin_layout Plain Layout
14129 \begin_layout Standard
14133 \begin_layout Plain Layout
14151 \begin_inset Formula
14153 \int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}
14162 \begin_layout Plain Layout
14173 \begin_layout Plain Layout
14187 \begin_layout Standard
14188 \begin_inset VSpace medskip
14197 の引数としてparboxが使われているので,この場合には,
14212 \begin_layout Standard
14213 \begin_inset VSpace bigskip
14216 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,
14235 \begin_inset CommandInset ref
14237 reference "subsec:自己定義番号"
14244 \begin_layout Standard
14251 を使ってコメントを付けた数式の例です.
14254 \begin_layout Standard
14258 \begin_layout Plain Layout
14271 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.
14275 \begin_layout Plain Layout
14287 \begin_layout Standard
14295 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
14296 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.
14299 \begin_layout Standard
14312 というコマンドを\SpecialChar TeX
14317 \begin_layout Plain Layout
14336 を用いることもできます(数式様式に関しては,第
14337 \begin_inset CommandInset ref
14339 reference "sec:数式様式"
14348 .それから,説明を通常のテキストとして入れ,最後に
14367 コマンドは別行立て数式を作るためのものです.
14370 \begin_layout Standard
14377 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.
14378 \begin_inset Formula
14380 5x-7b=3b\textrm{これは説明です。数式本体から離れていません...}
14388 \begin_layout Section
14390 \begin_inset Index idx
14393 \begin_layout Plain Layout
14402 \begin_layout Subsection
14404 \begin_inset CommandInset label
14411 \begin_inset Index idx
14414 \begin_layout Plain Layout
14416 \begin_inset space \thinspace{}
14425 \begin_inset Index idx
14428 \begin_layout Plain Layout
14435 \begin_inset Index idx
14438 \begin_layout Plain Layout
14447 \begin_layout Standard
14448 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
14456 オプションを有効にしなくてはなりません.
14459 \begin_layout Standard
14460 \begin_inset space \hfill{}
14464 \begin_inset Tabular
14465 <lyxtabular version="3" rows="11" columns="2">
14466 <features booktabs="true" tabularvalignment="middle">
14467 <column alignment="center" valignment="top" width="0pt">
14468 <column alignment="center" valignment="top" width="0pt">
14470 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
14473 \begin_layout Plain Layout
14479 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
14482 \begin_layout Plain Layout
14490 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14493 \begin_layout Plain Layout
14497 \begin_inset Index idx
14500 \begin_layout Plain Layout
14513 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14516 \begin_layout Plain Layout
14517 \begin_inset Formula $\int$
14527 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14530 \begin_layout Plain Layout
14538 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14541 \begin_layout Plain Layout
14542 \begin_inset Formula $\oint$
14552 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14555 \begin_layout Plain Layout
14563 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14566 \begin_layout Plain Layout
14567 \begin_inset Formula $\ointctrclockwise$
14577 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14580 \begin_layout Plain Layout
14588 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14591 \begin_layout Plain Layout
14592 \begin_inset Formula $\ointclockwise$
14602 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14605 \begin_layout Plain Layout
14613 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14616 \begin_layout Plain Layout
14617 \begin_inset Formula $\sqint$
14627 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14630 \begin_layout Plain Layout
14638 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14641 \begin_layout Plain Layout
14643 \begin_inset Formula $\fint$
14653 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14656 \begin_layout Plain Layout
14664 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14667 \begin_layout Plain Layout
14669 \begin_inset Formula $\landupint$
14679 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14682 \begin_layout Plain Layout
14690 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14693 \begin_layout Plain Layout
14695 \begin_inset Formula $\landdownint$
14705 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14708 \begin_layout Plain Layout
14716 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14719 \begin_layout Plain Layout
14720 \begin_inset Formula $\bigcap$
14730 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
14733 \begin_layout Plain Layout
14741 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
14744 \begin_layout Plain Layout
14745 \begin_inset Formula $\bigcup$
14759 \begin_inset space \hfill{}
14763 \begin_inset Tabular
14764 <lyxtabular version="3" rows="11" columns="2">
14765 <features booktabs="true" tabularvalignment="middle">
14766 <column alignment="center" valignment="top" width="0pt">
14767 <column alignment="center" valignment="top" width="0pt">
14769 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
14772 \begin_layout Plain Layout
14778 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
14781 \begin_layout Plain Layout
14789 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14792 \begin_layout Plain Layout
14796 \begin_inset Index idx
14799 \begin_layout Plain Layout
14812 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14815 \begin_layout Plain Layout
14816 \begin_inset Formula $\sum$
14826 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14829 \begin_layout Plain Layout
14833 \begin_inset Index idx
14836 \begin_layout Plain Layout
14849 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14852 \begin_layout Plain Layout
14853 \begin_inset Formula $\prod$
14863 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14866 \begin_layout Plain Layout
14874 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14877 \begin_layout Plain Layout
14878 \begin_inset Formula $\coprod$
14888 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14891 \begin_layout Plain Layout
14899 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14902 \begin_layout Plain Layout
14903 \begin_inset Formula $\bigodot$
14913 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14916 \begin_layout Plain Layout
14924 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14927 \begin_layout Plain Layout
14928 \begin_inset Formula $\bigotimes$
14938 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14941 \begin_layout Plain Layout
14949 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14952 \begin_layout Plain Layout
14953 \begin_inset Formula $\bigoplus$
14963 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14966 \begin_layout Plain Layout
14974 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14977 \begin_layout Plain Layout
14978 \begin_inset Formula $\bigwedge$
14988 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14991 \begin_layout Plain Layout
14999 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
15002 \begin_layout Plain Layout
15003 \begin_inset Formula $\bigvee$
15013 <cell alignment="center" valignment="top" leftline="true" usebox="none">
15016 \begin_layout Plain Layout
15024 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
15027 \begin_layout Plain Layout
15028 \begin_inset Formula $\bigsqcup$
15038 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
15041 \begin_layout Plain Layout
15049 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
15052 \begin_layout Plain Layout
15053 \begin_inset Formula $\biguplus$
15067 \begin_inset space \hfill{}
15073 \begin_layout Standard
15074 すべての大演算子は,数式ツールバーボタンの
15077 arg "math-insert \\intop"
15083 \begin_layout Standard
15084 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.
15087 \begin_layout Standard
15104 で終わる別バージョンがあります.これらの演算子は,
15110 とは範囲の表示のしかたが異なります.第
15111 \begin_inset CommandInset ref
15113 reference "subsec:演算子の範囲"
15120 \begin_layout Subsubsection*
15124 \begin_layout Standard
15129 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
15134 \begin_inset Flex Ruby
15137 \begin_layout Plain Layout
15139 \begin_inset Argument post:1
15142 \begin_layout Plain Layout
15163 \begin_layout Plain Layout
15165 \begin_inset CommandInset ref
15167 reference "subsec:書体様式"
15180 の前に最小空白を挿入しなくてはなりません.たとえば,
15183 \begin_layout Standard
15185 \begin_inset Formula $\int A(x)dx$
15189 \begin_inset Newline newline
15193 \begin_inset Phantom HPhantom
15196 \begin_layout Plain Layout
15203 \begin_inset Formula $\int A(x)\,\mathrm{d}x$
15209 \begin_layout Standard
15210 多重積分に関しては,以下のコマンドがあります.
15211 \begin_inset VSpace medskip
15217 \begin_layout Standard
15218 \begin_inset space \hfill{}
15222 \begin_inset Tabular
15223 <lyxtabular version="3" rows="4" columns="2">
15224 <features booktabs="true" tabularvalignment="middle">
15225 <column alignment="center" valignment="top" width="0pt">
15226 <column alignment="center" valignment="top" width="0pt">
15228 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
15231 \begin_layout Plain Layout
15237 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
15240 \begin_layout Plain Layout
15247 <row bottomspace="1mm">
15248 <cell alignment="center" valignment="top" usebox="none">
15251 \begin_layout Plain Layout
15259 <cell alignment="center" valignment="top" usebox="none">
15262 \begin_layout Plain Layout
15263 \begin_inset Formula $\iint$
15272 <row bottomspace="1mm">
15273 <cell alignment="center" valignment="top" usebox="none">
15276 \begin_layout Plain Layout
15284 <cell alignment="center" valignment="top" usebox="none">
15287 \begin_layout Plain Layout
15288 \begin_inset Formula $\oiint$
15297 <row bottomspace="1mm">
15298 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15301 \begin_layout Plain Layout
15309 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15312 \begin_layout Plain Layout
15313 \begin_inset Formula $\sqiint$
15327 \begin_inset space \hfill{}
15331 \begin_inset Tabular
15332 <lyxtabular version="3" rows="4" columns="2">
15333 <features booktabs="true" tabularvalignment="middle">
15334 <column alignment="center" valignment="top" width="0pt">
15335 <column alignment="center" valignment="top" width="0pt">
15337 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
15340 \begin_layout Plain Layout
15346 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
15349 \begin_layout Plain Layout
15356 <row bottomspace="1mm">
15357 <cell alignment="center" valignment="top" usebox="none">
15360 \begin_layout Plain Layout
15368 <cell alignment="center" valignment="top" usebox="none">
15371 \begin_layout Plain Layout
15372 \begin_inset Formula $\iiint$
15381 <row bottomspace="1mm">
15382 <cell alignment="center" valignment="top" usebox="none">
15385 \begin_layout Plain Layout
15393 <cell alignment="center" valignment="top" usebox="none">
15396 \begin_layout Plain Layout
15397 \begin_inset Formula $\iiiint$
15406 <row bottomspace="1mm">
15407 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15410 \begin_layout Plain Layout
15418 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15421 \begin_layout Plain Layout
15422 \begin_inset Formula $\dotsint$
15436 \begin_inset space \hfill{}
15442 \begin_layout Subsection
15444 \begin_inset CommandInset label
15446 name "subsec:演算子の範囲"
15451 \begin_inset Index idx
15454 \begin_layout Plain Layout
15463 \begin_layout Standard
15464 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.
15467 \begin_layout Standard
15469 \begin_inset Tabular
15470 <lyxtabular version="3" rows="2" columns="2">
15471 <features booktabs="true" tabularvalignment="middle">
15472 <column alignment="center" valignment="top" width="0pt">
15473 <column alignment="center" valignment="top" width="0pt">
15475 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
15478 \begin_layout Plain Layout
15484 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
15487 \begin_layout Plain Layout
15495 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15498 \begin_layout Plain Layout
15504 \begin_inset space \textvisiblespace{}
15508 \begin_inset Formula $\to$
15512 \begin_inset Formula $\to$
15520 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15523 \begin_layout Plain Layout
15524 \begin_inset Formula $\prod_{0}^{\infty}A(x)$
15540 \begin_layout Standard
15541 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.
15544 \begin_layout Standard
15545 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,
15547 編集\SpecialChar menuseparator
15548 数式\SpecialChar menuseparator
15558 \begin_inset Flex Ruby
15561 \begin_layout Plain Layout
15563 \begin_inset Argument post:1
15566 \begin_layout Plain Layout
15583 )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.
15586 \begin_layout Standard
15587 既定の範囲形式は,以下のようになっています.
15588 \begin_inset Formula
15590 \sum_{x=0}^{\infty}\frac{1}{x^{2}}
15602 \begin_inset Formula
15604 \sum\nolimits _{x=0}^{\infty}\frac{1}{x^{2}}
15625 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
15630 にして積分記号の下に置くようにしています.
15631 \begin_inset Formula
15633 \iiint\limits _{V}X\,\mathrm{d}V=U\label{eq:VolInt}
15641 \begin_layout Standard
15642 \begin_inset VSpace medskip
15652 \begin_inset Index idx
15655 \begin_layout Plain Layout
15670 \begin_inset Index idx
15673 \begin_layout Plain Layout
15681 コマンドを使用します.たとえば,以下の表記
15682 \begin_inset Formula
15684 \sum_{\begin{subarray}{c}
15688 \end{subarray}}^{n}k^{-2}\label{eq:substack}
15696 \begin_layout Standard
15697 を作成するには,以下のようにしなくてはなりません.
15698 \begin_inset Newline newline
15710 \begin_inset space \textvisiblespace{}
15715 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
15720 \begin_inset space \textvisiblespace{}
15725 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(
15728 arg "newline-insert newline"
15731 )を挿入することで作ることができます.ここに
15732 \begin_inset Newline newline
15738 \begin_inset Formula $\boldsymbol{<}$
15742 \begin_inset Formula $\boldsymbol{<}$
15746 \begin_inset Newline newline
15751 と入力すると,新規行のための新しい枠が現れます.
15754 \begin_layout Standard
15761 編集\SpecialChar menuseparator
15764 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
15769 \begin_inset space \textvisiblespace{}
15777 \begin_layout Standard
15784 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,
15793 \begin_layout Standard
15794 \begin_inset VSpace bigskip
15797 演算子の後に来る文字は,範囲の横に来るので,
15798 \begin_inset CommandInset ref
15800 reference "eq:substack"
15804 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
15811 \begin_inset Index idx
15814 \begin_layout Plain Layout
15822 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
15831 \begin_inset Index idx
15834 \begin_layout Plain Layout
15835 ぱっけーじ@パッケージ ! mathtools
15853 \begin_inset space \thinspace{}
15861 \begin_inset Newline newline
15867 \begin_inset CommandInset ref
15869 reference "eq:substack"
15876 \begin_layout Standard
15884 \begin_layout Standard
15885 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:
15886 \begin_inset Formula
15888 \sum_{\mathclap{\substack{0<k<1000\\
15900 \begin_inset space \thinspace{}
15905 ptにすることも可能です.そのためには,
15928 \begin_layout Standard
15929 \begin_inset Formula
15931 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}
15939 \begin_layout Standard
15940 \begin_inset VSpace bigskip
15946 \begin_layout Standard
15947 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.
15948 \begin_inset Formula
15950 \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}
15964 \begin_inset Index idx
15967 \begin_layout Plain Layout
15968 ぱっけーじ@パッケージ ! mathtools
15977 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,
15984 \begin_inset Index idx
15987 \begin_layout Plain Layout
15995 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.
15996 \begin_inset Formula
15998 \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}
16006 \begin_layout Standard
16007 \begin_inset VSpace bigskip
16010 一つの範囲を複数の演算子に用いる方法が,第
16011 \begin_inset CommandInset ref
16013 reference "subsec:自己定義演算子"
16020 \begin_layout Subsection
16022 \begin_inset Index idx
16025 \begin_layout Plain Layout
16026 えんざんし@演算子 ! しゅうしょく@修飾
16034 \begin_layout Standard
16042 \begin_inset Index idx
16045 \begin_layout Plain Layout
16060 \begin_inset Index idx
16063 \begin_layout Plain Layout
16071 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,
16078 \begin_inset Index idx
16081 \begin_layout Plain Layout
16089 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.
16092 \begin_layout Standard
16102 \begin_layout Itemize
16109 は,演算子の隅に文字を置くのに用います.
16112 \begin_layout Itemize
16119 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
16129 \begin_layout Itemize
16136 は,演算子の左隅と後ろに文字を置くのに用います.
16139 \begin_layout Itemize
16146 は,演算子の右隅と前に文字を置くのに用います.
16149 \begin_layout Standard
16155 \begin_inset space \textvisiblespace{}
16161 \begin_inset space \textvisiblespace{}
16165 \begin_inset Formula $\to$
16169 \begin_inset Formula $\to$
16173 \begin_inset space \textvisiblespace{}
16183 \begin_inset Formula
16185 \sideset{}{'}\sum_{k=1}^{n}
16193 \begin_layout Standard
16194 \begin_inset Note Greyedout
16197 \begin_layout Plain Layout
16204 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.
16212 \begin_layout Standard
16213 のようになります.最後の例からわかるように,
16225 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,
16230 \begin_inset space \textvisiblespace{}
16236 \begin_inset space \textvisiblespace{}
16242 \begin_inset Formula $\uparrow$
16250 \begin_inset Formula
16252 \overset{a}{\maltese}
16260 \begin_layout Subsection
16262 \begin_inset CommandInset label
16264 name "subsec:二項演算子"
16269 \begin_inset Index idx
16272 \begin_layout Plain Layout
16274 \begin_inset space \thinspace{}
16285 \begin_layout Standard
16286 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.
16287 \begin_inset VSpace medskip
16293 \begin_layout Standard
16294 \begin_inset Tabular
16295 <lyxtabular version="3" rows="13" columns="2">
16296 <features booktabs="true" tabularvalignment="middle">
16297 <column alignment="center" valignment="top" width="0pt">
16298 <column alignment="center" valignment="top" width="0pt">
16300 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
16303 \begin_layout Plain Layout
16305 \begin_inset Note Note
16308 \begin_layout Plain Layout
16315 はスペーサーとして使用しているだけです.
16325 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
16328 \begin_layout Plain Layout
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
16368 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16371 \begin_layout Plain Layout
16372 \begin_inset Formula $-$
16382 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16385 \begin_layout Plain Layout
16393 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16396 \begin_layout Plain Layout
16397 \begin_inset Formula $\pm$
16407 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16410 \begin_layout Plain Layout
16418 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16421 \begin_layout Plain Layout
16422 \begin_inset Formula $\mp$
16432 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16435 \begin_layout Plain Layout
16443 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16446 \begin_layout Plain Layout
16447 \begin_inset Formula $\cdot$
16457 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16460 \begin_layout Plain Layout
16468 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16471 \begin_layout Plain Layout
16472 \begin_inset Formula $\times$
16482 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16485 \begin_layout Plain Layout
16493 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16496 \begin_layout Plain Layout
16497 \begin_inset Formula $\div$
16507 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16510 \begin_layout Plain Layout
16514 \begin_layout Plain Layout
16527 \begin_layout Plain Layout
16539 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16542 \begin_layout Plain Layout
16543 \begin_inset Formula $*$
16553 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16556 \begin_layout Plain Layout
16564 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16567 \begin_layout Plain Layout
16568 \begin_inset Formula $\star$
16578 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16581 \begin_layout Plain Layout
16589 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16592 \begin_layout Plain Layout
16593 \begin_inset Formula $\circ$
16603 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16606 \begin_layout Plain Layout
16614 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16617 \begin_layout Plain Layout
16618 \begin_inset Formula $\diamond$
16628 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
16631 \begin_layout Plain Layout
16639 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
16642 \begin_layout Plain Layout
16643 \begin_inset Formula $\bullet$
16657 \begin_inset space \hfill{}
16661 \begin_inset Tabular
16662 <lyxtabular version="3" rows="13" columns="2">
16663 <features booktabs="true" tabularvalignment="middle">
16664 <column alignment="center" valignment="top" width="0pt">
16665 <column alignment="center" valignment="top" width="0pt">
16667 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
16670 \begin_layout Plain Layout
16676 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
16679 \begin_layout Plain Layout
16687 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16690 \begin_layout Plain Layout
16698 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16701 \begin_layout Plain Layout
16702 \begin_inset Formula $\nabla$
16712 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16715 \begin_layout Plain Layout
16723 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16726 \begin_layout Plain Layout
16727 \begin_inset Formula $\bigtriangledown$
16737 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16740 \begin_layout Plain Layout
16748 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16751 \begin_layout Plain Layout
16752 \begin_inset Formula $\bigtriangleup$
16762 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16765 \begin_layout Plain Layout
16773 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16776 \begin_layout Plain Layout
16777 \begin_inset Formula $\Box$
16787 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16790 \begin_layout Plain Layout
16798 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16801 \begin_layout Plain Layout
16802 \begin_inset Formula $\cap$
16812 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16815 \begin_layout Plain Layout
16823 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16826 \begin_layout Plain Layout
16827 \begin_inset Formula $\cup$
16837 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16840 \begin_layout Plain Layout
16848 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16851 \begin_layout Plain Layout
16852 \begin_inset Formula $\dagger$
16862 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16865 \begin_layout Plain Layout
16873 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16876 \begin_layout Plain Layout
16877 \begin_inset Formula $\ddagger$
16887 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16890 \begin_layout Plain Layout
16898 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16901 \begin_layout Plain Layout
16902 \begin_inset Formula $\wr$
16912 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16915 \begin_layout Plain Layout
16923 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16926 \begin_layout Plain Layout
16927 \begin_inset Formula $\bigcirc$
16937 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16940 \begin_layout Plain Layout
16948 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16951 \begin_layout Plain Layout
16952 \begin_inset Formula $\wedge$
16962 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
16965 \begin_layout Plain Layout
16973 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
16976 \begin_layout Plain Layout
16977 \begin_inset Formula $\vee$
16991 \begin_inset space \hfill{}
16995 \begin_inset Tabular
16996 <lyxtabular version="3" rows="13" columns="2">
16997 <features booktabs="true" tabularvalignment="middle">
16998 <column alignment="center" valignment="top" width="0pt">
16999 <column alignment="center" valignment="top" width="0pt">
17001 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
17004 \begin_layout Plain Layout
17010 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
17013 \begin_layout Plain Layout
17021 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17024 \begin_layout Plain Layout
17032 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17035 \begin_layout Plain Layout
17036 \begin_inset Formula $\oplus$
17046 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17049 \begin_layout Plain Layout
17057 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17060 \begin_layout Plain Layout
17061 \begin_inset Formula $\ominus$
17071 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17074 \begin_layout Plain Layout
17082 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17085 \begin_layout Plain Layout
17086 \begin_inset Formula $\otimes$
17096 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17099 \begin_layout Plain Layout
17107 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17110 \begin_layout Plain Layout
17111 \begin_inset Formula $\oslash$
17121 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17124 \begin_layout Plain Layout
17132 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17135 \begin_layout Plain Layout
17136 \begin_inset Formula $\odot$
17146 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17149 \begin_layout Plain Layout
17157 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17160 \begin_layout Plain Layout
17161 \begin_inset Formula $\amalg$
17171 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17174 \begin_layout Plain Layout
17182 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17185 \begin_layout Plain Layout
17186 \begin_inset Formula $\uplus$
17196 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17199 \begin_layout Plain Layout
17207 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17210 \begin_layout Plain Layout
17211 \begin_inset Formula $\setminus$
17221 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17224 \begin_layout Plain Layout
17232 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17235 \begin_layout Plain Layout
17236 \begin_inset Formula $\sqcap$
17246 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17249 \begin_layout Plain Layout
17257 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17260 \begin_layout Plain Layout
17261 \begin_inset Formula $\sqcup$
17271 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17274 \begin_layout Plain Layout
17282 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17285 \begin_layout Plain Layout
17286 \begin_inset Formula $\triangleleft$
17296 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
17299 \begin_layout Plain Layout
17307 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
17310 \begin_layout Plain Layout
17311 \begin_inset Formula $\triangleright$
17327 \begin_layout Standard
17328 二項演算子は,すべて数式ツールバーボタンの
17331 arg "math-insert \\pm"
17337 \begin_layout Standard
17361 \begin_inset Formula $\nabla^{2}$
17367 \begin_layout Standard
17370 挿入\SpecialChar menuseparator
17386 \begin_layout Subsection
17388 \begin_inset CommandInset label
17390 name "subsec:自己定義演算子"
17395 \begin_inset Index idx
17398 \begin_layout Plain Layout
17399 えんざんし@演算子 ! じこていぎ@自己定義
17400 \begin_inset space \thinspace{}
17411 \begin_layout Standard
17417 DeclareMathOperator
17420 \begin_inset Index idx
17423 \begin_layout Plain Layout
17428 DeclareMathOperator
17433 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
17436 \begin_layout Standard
17441 DeclareMathOperator{新規コマンド}{表示}
17444 \begin_layout Standard
17445 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
17446 \begin_inset CommandInset ref
17448 reference "subsec:演算子の範囲"
17452 節で述べられた範囲を指定することができます.
17455 \begin_layout Standard
17456 たとえば,以下のような\SpecialChar LaTeX
17460 \begin_layout Standard
17465 DeclareMathOperator*{
17472 \begin_layout Standard
17474 \begin_inset CommandInset ref
17476 reference "subsec:その他の記号"
17480 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
17487 \begin_inset Formula
17489 \Lozenge_{n=1}^{\infty}
17505 \begin_inset Formula $\to$
17513 \begin_layout Standard
17514 \begin_inset VSpace bigskip
17517 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
17524 \begin_inset Index idx
17527 \begin_layout Plain Layout
17542 \begin_inset Index idx
17545 \begin_layout Plain Layout
17553 コマンドを用いて定義を行うこともできます.
17556 \begin_layout Standard
17570 \begin_layout Standard
17586 \begin_layout Standard
17593 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.
17596 \begin_layout Standard
17597 \begin_inset Formula
17599 \mathop{\sum\negmedspace\sum}_{i,j=1}^{N}
17607 \begin_layout Standard
17609 \begin_inset Newline newline
17625 \begin_inset space \textvisiblespace{}
17631 \begin_inset Formula $\to$
17637 \begin_inset space \textvisiblespace{}
17643 \begin_inset Newline newline
17651 \begin_layout Section
17653 \begin_inset Index idx
17656 \begin_layout Plain Layout
17663 \begin_inset Index idx
17666 \begin_layout Plain Layout
17671 \begin_layout Plain Layout
17682 \begin_layout Plain Layout
17697 \begin_layout Subsection
17699 \begin_inset CommandInset label
17706 \begin_inset Index idx
17709 \begin_layout Plain Layout
17718 \begin_layout Standard
17719 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.
17722 \begin_layout Standard
17724 \begin_inset Tabular
17725 <lyxtabular version="3" rows="6" columns="3">
17726 <features booktabs="true" tabularvalignment="middle">
17727 <column alignment="center" valignment="top" width="0pt">
17728 <column alignment="center" valignment="top">
17729 <column alignment="center" valignment="top">
17731 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
17734 \begin_layout Plain Layout
17740 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
17743 \begin_layout Plain Layout
17749 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
17752 \begin_layout Plain Layout
17762 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17765 \begin_layout Plain Layout
17771 \begin_inset space \textvisiblespace{}
17781 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17784 \begin_layout Plain Layout
17785 \begin_inset Formula $\mathbb{ABC}$
17793 <cell alignment="center" valignment="top" usebox="none">
17796 \begin_layout Plain Layout
17804 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17807 \begin_layout Plain Layout
17813 \begin_inset space \textvisiblespace{}
17823 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17826 \begin_layout Plain Layout
17827 \begin_inset Formula $\mathbf{AbC}$
17835 <cell alignment="center" valignment="top" usebox="none">
17838 \begin_layout Plain Layout
17851 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17854 \begin_layout Plain Layout
17860 \begin_inset space \textvisiblespace{}
17870 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17873 \begin_layout Plain Layout
17874 \begin_inset Formula $\boldsymbol{AbC}$
17882 <cell alignment="center" valignment="top" usebox="none">
17885 \begin_layout Plain Layout
17888 arg "font-boldsymbol"
17898 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17901 \begin_layout Plain Layout
17907 \begin_inset space \textvisiblespace{}
17917 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17920 \begin_layout Plain Layout
17921 \begin_inset Formula $\mathcal{ABC}$
17929 <cell alignment="center" valignment="top" usebox="none">
17932 \begin_layout Plain Layout
17940 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
17943 \begin_layout Plain Layout
17949 \begin_inset space \textvisiblespace{}
17959 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
17962 \begin_layout Plain Layout
17963 \begin_inset Formula $\mathfrak{AbC}$
17971 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
17974 \begin_layout Plain Layout
17988 \begin_layout Standard
17990 \begin_inset Tabular
17991 <lyxtabular version="3" rows="6" columns="3">
17992 <features booktabs="true" tabularvalignment="middle">
17993 <column alignment="center" valignment="top" width="0pt">
17994 <column alignment="center" valignment="top">
17995 <column alignment="center" valignment="top">
17997 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
18000 \begin_layout Plain Layout
18006 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
18009 \begin_layout Plain Layout
18015 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
18018 \begin_layout Plain Layout
18028 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18031 \begin_layout Plain Layout
18037 \begin_inset space \textvisiblespace{}
18047 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18050 \begin_layout Plain Layout
18051 \begin_inset Formula $\mathit{AbC}$
18059 <cell alignment="center" valignment="top" usebox="none">
18062 \begin_layout Plain Layout
18070 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18073 \begin_layout Plain Layout
18079 \begin_inset space \textvisiblespace{}
18089 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18092 \begin_layout Plain Layout
18093 \begin_inset Formula $\mathrm{AbC}$
18101 <cell alignment="center" valignment="top" usebox="none">
18104 \begin_layout Plain Layout
18117 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18120 \begin_layout Plain Layout
18126 \begin_inset space \textvisiblespace{}
18136 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18139 \begin_layout Plain Layout
18140 \begin_inset Formula $\mathsf{AbC}$
18148 <cell alignment="center" valignment="top" usebox="none">
18151 \begin_layout Plain Layout
18164 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18167 \begin_layout Plain Layout
18173 \begin_inset space \textvisiblespace{}
18183 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18186 \begin_layout Plain Layout
18187 \begin_inset Formula $\mathtt{AbC}$
18195 <cell alignment="center" valignment="top" usebox="none">
18198 \begin_layout Plain Layout
18201 arg "font-typewriter"
18211 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
18214 \begin_layout Plain Layout
18220 \begin_inset space \textvisiblespace{}
18230 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
18233 \begin_layout Plain Layout
18234 \begin_inset Formula $\mathscr{ABC}$
18242 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
18245 \begin_layout Plain Layout
18259 \begin_layout Standard
18260 \begin_inset Note Greyedout
18263 \begin_layout Plain Layout
18280 様式は,大文字にのみ使用することができます.
18288 \begin_layout Standard
18298 \begin_layout Standard
18299 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.
18300 \begin_inset Formula
18302 \mathfrak{A=\frac{b}{C}}
18310 \begin_layout Standard
18311 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,
18317 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
18322 \begin_layout Plain Layout
18323 \begin_inset CommandInset href
18325 name "LyX-bug #4629"
18326 target "http://www.lyx.org/trac/ticket/4629"
18339 \begin_layout Standard
18342 編集\SpecialChar menuseparator
18343 数学\SpecialChar menuseparator
18349 arg "math-insert \\font"
18355 \begin_layout Subsection
18357 \begin_inset CommandInset label
18359 name "subsec:ボールド体の数式"
18364 \begin_inset Index idx
18367 \begin_layout Plain Layout
18368 すうしき@数式 ! ぼーるどたい@ボールド体
18376 \begin_layout Standard
18377 数式全体をボールド体にしようとすると,前節の
18383 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
18387 \begin_layout Standard
18388 \begin_inset Formula
18390 \mathbf{\int_{n}^{2}f(\theta)=\Gamma}\qquad\textrm{\textbackslash mathbfを使用した数式}
18398 \begin_layout Standard
18399 この数式を正しく表示するには,以下のように,
18406 \begin_inset Formula
18408 \boldsymbol{\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{\textbackslash boldsymbolを使用した数式}}
18417 に設定する方法もあります.この環境は,\SpecialChar TeX
18423 \begin_inset Index idx
18426 \begin_layout Plain Layout
18436 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,
18441 \begin_inset Index idx
18444 \begin_layout Plain Layout
18454 コマンドを\SpecialChar TeX
18459 \begin_layout Plain Layout
18469 \begin_inset Formula
18471 \int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{boldmath環境に置いた数式}
18480 \begin_layout Plain Layout
18492 \begin_layout Subsection
18494 \begin_inset Index idx
18497 \begin_layout Plain Layout
18506 \begin_layout Standard
18507 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.
18508 \begin_inset Formula
18510 {\color{magenta}\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}
18518 \begin_layout Standard
18520 \begin_inset CommandInset ref
18522 reference "subsec:色付きボックス"
18526 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
18533 \begin_inset Index idx
18536 \begin_layout Plain Layout
18545 コードコマンドで適用することができます.
18548 \begin_layout Standard
18553 textcolor{色}{文字ないし数式}
18556 \begin_layout Standard
18557 下記の例は,全体を濃緑にし,一部を赤にしています.
18560 \begin_layout Standard
18564 \begin_layout Plain Layout
18568 textcolor{darkgreen}{
18574 \begin_inset Formula
18576 \int A\,\mathrm{d}x=\frac{{\color{red}\sqrt[5]{B}}}{\ln\left(\frac{1}{3}\right)}
18585 \begin_layout Plain Layout
18595 \begin_layout Standard
18597 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
18601 \begin_layout Plain Layout
18602 \begin_inset CommandInset href
18604 name "LyX-bug #5269"
18605 target "http://www.lyx.org/trac/ticket/5269"
18618 \begin_layout Subsection
18620 \begin_inset CommandInset label
18627 \begin_inset Index idx
18630 \begin_layout Plain Layout
18639 \begin_layout Standard
18640 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.
18643 \begin_layout Standard
18687 \begin_inset Newline newline
18709 \begin_layout Standard
18710 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
18716 コマンドに設定されます.他のコマンドは,
18722 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
18723 \begin_inset space \thinspace{}
18741 \begin_layout Standard
18742 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
18743 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
18753 \begin_layout Standard
18754 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
18757 arg "math-insert \\style"
18760 を使用して,寸法を変更することができます.
18763 \begin_layout Standard
18766 \begin_inset Tabular
18767 <lyxtabular version="3" rows="5" columns="2">
18768 <features booktabs="true" tabularvalignment="middle">
18769 <column alignment="center" valignment="top" width="0pt">
18770 <column alignment="center" valignment="top">
18772 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
18775 \begin_layout Plain Layout
18781 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
18784 \begin_layout Plain Layout
18792 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18795 \begin_layout Plain Layout
18799 \begin_inset Index idx
18802 \begin_layout Plain Layout
18815 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18818 \begin_layout Plain Layout
18819 \begin_inset Formula ${\displaystyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
18828 <row topspace="1mm">
18829 <cell alignment="center" valignment="top" usebox="none">
18832 \begin_layout Plain Layout
18840 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18843 \begin_layout Plain Layout
18844 \begin_inset Formula ${\textstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
18854 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18857 \begin_layout Plain Layout
18865 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18868 \begin_layout Plain Layout
18869 \begin_inset Formula ${\scriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
18879 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
18882 \begin_layout Plain Layout
18890 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
18893 \begin_layout Plain Layout
18894 \begin_inset Formula ${\scriptscriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
18910 \begin_layout Standard
18911 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.
18914 \begin_layout Standard
18915 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
18916 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.
18917 \begin_inset VSpace -2mm
18923 \begin_layout Standard
18927 \begin_layout Plain Layout
18937 \begin_inset Formula
18939 A=\frac{B}{c}\cdot\maltese
18945 \begin_inset Formula
18947 \maltese A\textrm{\Large\maltese\textit{A}}\textrm{\tiny\maltese\textit{A}}
18956 \begin_layout Plain Layout
18968 \begin_layout Standard
18969 \begin_inset VSpace medskip
18978 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,
18979 \begin_inset Newline newline
18987 \begin_inset space \textvisiblespace{}
18993 \begin_inset space \textvisiblespace{}
18999 \begin_inset space \textvisiblespace{}
19005 \begin_inset space \textvisiblespace{}
19009 \begin_inset Formula $\to$
19013 \begin_inset Formula $\to$
19017 \begin_inset Newline newline
19021 \begin_inset space \hspace*{}
19032 \begin_inset space \textvisiblespace{}
19038 \begin_inset space \textvisiblespace{}
19044 \begin_inset space \textvisiblespace{}
19048 \begin_inset Newline newline
19056 \begin_layout Standard
19057 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.
19060 \begin_layout Section
19062 \begin_inset Index idx
19065 \begin_layout Plain Layout
19074 \begin_layout Standard
19075 すべてのギリシャ文字は,ツールバーボタンの
19078 arg "math-insert \\alpha"
19081 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
19082 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.
19085 \begin_layout Subsection
19087 \begin_inset Index idx
19090 \begin_layout Plain Layout
19091 ぎりしゃもじ@ギリシャ文字 ! こもじ@小文字
19099 \begin_layout Standard
19100 \begin_inset space \hfill{}
19104 \begin_inset Tabular
19105 <lyxtabular version="3" rows="11" columns="2">
19106 <features booktabs="true" tabularvalignment="middle">
19107 <column alignment="center" valignment="top" width="0pt">
19108 <column alignment="center" valignment="top" width="0pt">
19110 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
19113 \begin_layout Plain Layout
19119 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
19122 \begin_layout Plain Layout
19130 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19133 \begin_layout Plain Layout
19141 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19144 \begin_layout Plain Layout
19145 \begin_inset Formula $\alpha$
19155 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19158 \begin_layout Plain Layout
19166 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19169 \begin_layout Plain Layout
19170 \begin_inset Formula $\beta$
19180 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19183 \begin_layout Plain Layout
19191 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19194 \begin_layout Plain Layout
19195 \begin_inset Formula $\gamma$
19205 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19208 \begin_layout Plain Layout
19216 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19219 \begin_layout Plain Layout
19220 \begin_inset Formula $\delta$
19230 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19233 \begin_layout Plain Layout
19241 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19244 \begin_layout Plain Layout
19245 \begin_inset Formula $\epsilon$
19255 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19258 \begin_layout Plain Layout
19266 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19269 \begin_layout Plain Layout
19270 \begin_inset Formula $\varepsilon$
19280 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19283 \begin_layout Plain Layout
19291 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19294 \begin_layout Plain Layout
19295 \begin_inset Formula $\zeta$
19305 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19308 \begin_layout Plain Layout
19316 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19319 \begin_layout Plain Layout
19320 \begin_inset Formula $\eta$
19330 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19333 \begin_layout Plain Layout
19341 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19344 \begin_layout Plain Layout
19345 \begin_inset Formula $\theta$
19355 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
19358 \begin_layout Plain Layout
19366 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
19369 \begin_layout Plain Layout
19370 \begin_inset Formula $\vartheta$
19384 \begin_inset space \hfill{}
19388 \begin_inset Tabular
19389 <lyxtabular version="3" rows="12" columns="2">
19390 <features booktabs="true" tabularvalignment="middle">
19391 <column alignment="center" valignment="top" width="0pt">
19392 <column alignment="center" valignment="top" width="0pt">
19394 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
19397 \begin_layout Plain Layout
19403 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
19406 \begin_layout Plain Layout
19414 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19417 \begin_layout Plain Layout
19425 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19428 \begin_layout Plain Layout
19429 \begin_inset Formula $\iota$
19439 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19442 \begin_layout Plain Layout
19450 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19453 \begin_layout Plain Layout
19454 \begin_inset Formula $\kappa$
19464 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19467 \begin_layout Plain Layout
19475 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19478 \begin_layout Plain Layout
19479 \begin_inset Formula $\varkappa$
19489 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19492 \begin_layout Plain Layout
19500 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19503 \begin_layout Plain Layout
19504 \begin_inset Formula $\lambda$
19514 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19517 \begin_layout Plain Layout
19525 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19528 \begin_layout Plain Layout
19529 \begin_inset Formula $\mu$
19539 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19542 \begin_layout Plain Layout
19550 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19553 \begin_layout Plain Layout
19554 \begin_inset Formula $\nu$
19564 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19567 \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 $\xi$
19589 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19592 \begin_layout Plain Layout
19598 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19601 \begin_layout Plain Layout
19602 \begin_inset Formula $o$
19612 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19615 \begin_layout Plain Layout
19623 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19626 \begin_layout Plain Layout
19627 \begin_inset Formula $\pi$
19637 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19640 \begin_layout Plain Layout
19648 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19651 \begin_layout Plain Layout
19652 \begin_inset Formula $\varpi$
19662 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
19665 \begin_layout Plain Layout
19673 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
19676 \begin_layout Plain Layout
19677 \begin_inset Formula $\rho$
19691 \begin_inset space \hfill{}
19695 \begin_inset Tabular
19696 <lyxtabular version="3" rows="11" columns="2">
19697 <features booktabs="true" tabularvalignment="middle">
19698 <column alignment="center" valignment="top" width="0pt">
19699 <column alignment="center" valignment="top" width="0pt">
19701 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
19704 \begin_layout Plain Layout
19710 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
19713 \begin_layout Plain Layout
19721 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19724 \begin_layout Plain Layout
19732 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19735 \begin_layout Plain Layout
19736 \begin_inset Formula $\varrho$
19746 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19749 \begin_layout Plain Layout
19757 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19760 \begin_layout Plain Layout
19761 \begin_inset Formula $\sigma$
19771 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19774 \begin_layout Plain Layout
19782 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19785 \begin_layout Plain Layout
19786 \begin_inset Formula $\varsigma$
19796 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19799 \begin_layout Plain Layout
19807 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19810 \begin_layout Plain Layout
19811 \begin_inset Formula $\tau$
19821 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19824 \begin_layout Plain Layout
19832 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19835 \begin_layout Plain Layout
19836 \begin_inset Formula $\upsilon$
19846 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19849 \begin_layout Plain Layout
19857 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19860 \begin_layout Plain Layout
19861 \begin_inset Formula $\phi$
19871 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19874 \begin_layout Plain Layout
19882 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19885 \begin_layout Plain Layout
19886 \begin_inset Formula $\varphi$
19896 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19899 \begin_layout Plain Layout
19907 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19910 \begin_layout Plain Layout
19911 \begin_inset Formula $\chi$
19921 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19924 \begin_layout Plain Layout
19932 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19935 \begin_layout Plain Layout
19936 \begin_inset Formula $\psi$
19946 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
19949 \begin_layout Plain Layout
19957 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
19960 \begin_layout Plain Layout
19961 \begin_inset Formula $\omega$
19975 \begin_inset space \hfill{}
19981 \begin_layout Standard
19982 \begin_inset VSpace medskip
19988 \begin_layout Standard
19989 アップライト体のギリシャ文字を作成する方法は,第
19990 \begin_inset CommandInset ref
19992 reference "subsec:アップライト体ギリシャ小文字"
19999 \begin_layout Subsection
20001 \begin_inset Index idx
20004 \begin_layout Plain Layout
20005 ぎりしゃもじ@ギリシャ文字 ! おおもじ@大文字
20013 \begin_layout Standard
20014 \begin_inset space \hfill{}
20018 \begin_inset Tabular
20019 <lyxtabular version="3" rows="7" columns="2">
20020 <features booktabs="true" tabularvalignment="middle">
20021 <column alignment="center" valignment="top" width="0pt">
20022 <column alignment="center" valignment="top" width="0pt">
20024 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
20027 \begin_layout Plain Layout
20033 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
20036 \begin_layout Plain Layout
20044 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20047 \begin_layout Plain Layout
20055 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20058 \begin_layout Plain Layout
20059 \begin_inset Formula $\Gamma$
20069 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20072 \begin_layout Plain Layout
20080 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20083 \begin_layout Plain Layout
20084 \begin_inset Formula $\Delta$
20094 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20097 \begin_layout Plain Layout
20105 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20108 \begin_layout Plain Layout
20109 \begin_inset Formula $\Theta$
20119 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20122 \begin_layout Plain Layout
20130 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20133 \begin_layout Plain Layout
20134 \begin_inset Formula $\Lambda$
20144 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20147 \begin_layout Plain Layout
20155 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20158 \begin_layout Plain Layout
20159 \begin_inset Formula $\Xi$
20169 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
20172 \begin_layout Plain Layout
20180 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
20183 \begin_layout Plain Layout
20184 \begin_inset Formula $\Pi$
20198 \begin_inset space \hfill{}
20202 \begin_inset Tabular
20203 <lyxtabular version="3" rows="6" columns="2">
20204 <features booktabs="true" tabularvalignment="middle">
20205 <column alignment="center" valignment="top" width="0pt">
20206 <column alignment="center" valignment="top" width="0pt">
20208 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
20211 \begin_layout Plain Layout
20217 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
20220 \begin_layout Plain Layout
20228 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20231 \begin_layout Plain Layout
20239 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20242 \begin_layout Plain Layout
20243 \begin_inset Formula $\Sigma$
20253 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20256 \begin_layout Plain Layout
20264 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20267 \begin_layout Plain Layout
20268 \begin_inset Formula $\Upsilon$
20278 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20281 \begin_layout Plain Layout
20289 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20292 \begin_layout Plain Layout
20293 \begin_inset Formula $\Phi$
20303 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20306 \begin_layout Plain Layout
20314 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20317 \begin_layout Plain Layout
20318 \begin_inset Formula $\Psi$
20328 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
20331 \begin_layout Plain Layout
20339 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
20342 \begin_layout Plain Layout
20343 \begin_inset Formula $\Omega$
20357 \begin_inset space \hfill{}
20363 \begin_layout Standard
20364 \begin_inset VSpace medskip
20367 大文字のギリシャ文字が立体で表示されるのは,\SpecialChar TeX
20368 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
20379 \begin_inset Formula $\varGamma$
20382 を生成します.もう一つの方法は,パッケージ
20390 \begin_layout Plain Layout
20395 は,\SpecialChar LaTeX
20401 \begin_inset Index idx
20404 \begin_layout Plain Layout
20409 \begin_layout Plain Layout
20429 \begin_inset Index idx
20432 \begin_layout Plain Layout
20433 ぱっけーじ@パッケージ ! fixmath
20438 を\SpecialChar LaTeX
20442 \begin_layout Standard
20447 usepackage{fixmath}
20450 \begin_layout Standard
20451 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.
20454 \begin_layout Subsection
20456 \begin_inset Index idx
20459 \begin_layout Plain Layout
20460 ぎりしゃもじ@ギリシャ文字 ! ぼーるどたい@ボールド体
20468 \begin_layout Standard
20469 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,
20476 \begin_inset Index idx
20479 \begin_layout Plain Layout
20490 \begin_layout Standard
20492 \begin_inset Tabular
20493 <lyxtabular version="3" rows="3" columns="2">
20494 <features booktabs="true" tabularvalignment="middle">
20495 <column alignment="center" valignment="top" width="0pt">
20496 <column alignment="center" valignment="top">
20498 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
20501 \begin_layout Plain Layout
20507 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
20510 \begin_layout Plain Layout
20518 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20521 \begin_layout Plain Layout
20533 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20536 \begin_layout Plain Layout
20537 \begin_inset Formula $\Upsilon\boldsymbol{\Upsilon}$
20547 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
20550 \begin_layout Plain Layout
20562 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
20565 \begin_layout Plain Layout
20566 \begin_inset Formula $\theta\boldsymbol{\theta}$
20582 \begin_layout Section
20587 \begin_layout Plain Layout
20600 \begin_layout Plain Layout
20601 各\SpecialChar LaTeX
20602 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,
20603 \begin_inset CommandInset citation
20619 \begin_layout Plain Layout
20627 \begin_inset Note Note
20630 \begin_layout Plain Layout
20633 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.
20636 \begin_layout Plain Layout
20639 texorpdfstringについての詳細は,第
20640 \begin_inset CommandInset ref
20642 reference "subsec:節見出し中の数式"
20652 \begin_inset Index idx
20655 \begin_layout Plain Layout
20664 \begin_layout Standard
20665 本節に掲げてある各記号の多くは,ツールバーボタンの
20668 arg "math-insert \\nabla"
20674 arg "math-insert \\digamma"
20680 \begin_layout Subsection
20682 \begin_inset CommandInset label
20689 \begin_inset Index idx
20692 \begin_layout Plain Layout
20701 \begin_layout Standard
20702 \begin_inset Tabular
20703 <lyxtabular version="3" rows="10" columns="2">
20704 <features booktabs="true" tabularvalignment="middle">
20705 <column alignment="center" valignment="top" width="0pt">
20706 <column alignment="center" valignment="top" width="0pt">
20708 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
20711 \begin_layout Plain Layout
20717 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
20720 \begin_layout Plain Layout
20728 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20731 \begin_layout Plain Layout
20739 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20742 \begin_layout Plain Layout
20743 \begin_inset Formula $\neg$
20753 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20756 \begin_layout Plain Layout
20764 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20767 \begin_layout Plain Layout
20768 \begin_inset Formula $\Im$
20778 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20781 \begin_layout Plain Layout
20789 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20792 \begin_layout Plain Layout
20793 \begin_inset Formula $\Re$
20803 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20806 \begin_layout Plain Layout
20814 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20817 \begin_layout Plain Layout
20818 \begin_inset Formula $\aleph$
20828 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20831 \begin_layout Plain Layout
20839 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20842 \begin_layout Plain Layout
20843 \begin_inset Formula $\partial$
20853 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20856 \begin_layout Plain Layout
20864 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20867 \begin_layout Plain Layout
20868 \begin_inset Formula $\infty$
20878 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20881 \begin_layout Plain Layout
20889 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20892 \begin_layout Plain Layout
20893 \begin_inset Formula $\wp$
20903 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20906 \begin_layout Plain Layout
20914 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20917 \begin_layout Plain Layout
20918 \begin_inset Formula $\imath$
20928 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
20931 \begin_layout Plain Layout
20939 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
20942 \begin_layout Plain Layout
20943 \begin_inset Formula $\jmath$
20957 \begin_inset space \hfill{}
20961 \begin_inset Tabular
20962 <lyxtabular version="3" rows="10" columns="2">
20963 <features booktabs="true" tabularvalignment="middle">
20964 <column alignment="center" valignment="top" width="0pt">
20965 <column alignment="center" valignment="top" width="0pt">
20967 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
20970 \begin_layout Plain Layout
20976 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
20979 \begin_layout Plain Layout
20981 \begin_inset Note Note
20984 \begin_layout Plain Layout
20991 はスペーサーとして使用しているだけです.
21003 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21006 \begin_layout Plain Layout
21014 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21017 \begin_layout Plain Layout
21018 \begin_inset Formula $\forall$
21028 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21031 \begin_layout Plain Layout
21039 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21042 \begin_layout Plain Layout
21043 \begin_inset Formula $\exists$
21053 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21056 \begin_layout Plain Layout
21064 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21067 \begin_layout Plain Layout
21068 \begin_inset Formula $\nexists$
21078 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21081 \begin_layout Plain Layout
21089 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21092 \begin_layout Plain Layout
21093 \begin_inset Formula $\emptyset$
21103 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21106 \begin_layout Plain Layout
21114 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21117 \begin_layout Plain Layout
21118 \begin_inset Formula $\varnothing$
21128 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21131 \begin_layout Plain Layout
21139 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21142 \begin_layout Plain Layout
21143 \begin_inset Formula $\dag$
21153 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21156 \begin_layout Plain Layout
21164 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21167 \begin_layout Plain Layout
21168 \begin_inset Formula $\ddag$
21178 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21181 \begin_layout Plain Layout
21189 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21192 \begin_layout Plain Layout
21196 \begin_layout Plain Layout
21206 \begin_inset Formula $\complement$
21213 \begin_layout Plain Layout
21227 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
21230 \begin_layout Plain Layout
21238 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
21241 \begin_layout Plain Layout
21242 \begin_inset Formula $\Bbbk$
21256 \begin_inset space \hfill{}
21260 \begin_inset Tabular
21261 <lyxtabular version="3" rows="10" columns="2">
21262 <features booktabs="true" tabularvalignment="middle">
21263 <column alignment="center" valignment="top" width="0pt">
21264 <column alignment="center" valignment="top" width="0pt">
21266 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
21269 \begin_layout Plain Layout
21275 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
21278 \begin_layout Plain Layout
21286 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21289 \begin_layout Plain Layout
21297 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21300 \begin_layout Plain Layout
21301 \begin_inset Formula $\prime$
21311 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21314 \begin_layout Plain Layout
21322 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21325 \begin_layout Plain Layout
21326 \begin_inset Formula $\backprime$
21336 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21339 \begin_layout Plain Layout
21347 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21350 \begin_layout Plain Layout
21351 \begin_inset Formula $\mho$
21361 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21364 \begin_layout Plain Layout
21372 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21375 \begin_layout Plain Layout
21376 \begin_inset Formula $\triangle$
21386 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21389 \begin_layout Plain Layout
21397 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21400 \begin_layout Plain Layout
21401 \begin_inset Formula $\angle$
21411 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21414 \begin_layout Plain Layout
21422 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21425 \begin_layout Plain Layout
21426 \begin_inset Formula $\measuredangle$
21436 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21439 \begin_layout Plain Layout
21447 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21450 \begin_layout Plain Layout
21451 \begin_inset Formula $\sphericalangle$
21461 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21464 \begin_layout Plain Layout
21472 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21475 \begin_layout Plain Layout
21476 \begin_inset Formula $\top$
21486 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
21489 \begin_layout Plain Layout
21497 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
21500 \begin_layout Plain Layout
21501 \begin_inset Formula $\bot$
21517 \begin_layout Subsection
21519 \begin_inset CommandInset label
21521 name "subsec:その他の記号"
21526 \begin_inset Index idx
21529 \begin_layout Plain Layout
21538 \begin_layout Standard
21541 \begin_inset Tabular
21542 <lyxtabular version="3" rows="10" columns="2">
21543 <features booktabs="true" tabularvalignment="middle">
21544 <column alignment="center" valignment="top" width="0pt">
21545 <column alignment="center" valignment="top" width="0pt">
21547 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
21550 \begin_layout Plain Layout
21556 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
21559 \begin_layout Plain Layout
21567 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21570 \begin_layout Plain Layout
21578 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21581 \begin_layout Plain Layout
21582 \begin_inset Formula $\flat$
21592 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21595 \begin_layout Plain Layout
21603 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21606 \begin_layout Plain Layout
21607 \begin_inset Formula $\natural$
21617 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21620 \begin_layout Plain Layout
21628 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21631 \begin_layout Plain Layout
21632 \begin_inset Formula $\sharp$
21642 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21645 \begin_layout Plain Layout
21653 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21656 \begin_layout Plain Layout
21657 \begin_inset Formula $\surd$
21667 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21670 \begin_layout Plain Layout
21678 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21681 \begin_layout Plain Layout
21682 \begin_inset Formula $\checkmark$
21692 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21695 \begin_layout Plain Layout
21703 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21706 \begin_layout Plain Layout
21707 \begin_inset Formula $\yen$
21717 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21720 \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 $\pounds$
21742 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21745 \begin_layout Plain Layout
21751 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21754 \begin_layout Plain Layout
21755 \begin_inset Formula $\$$
21765 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
21768 \begin_layout Plain Layout
21774 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
21777 \begin_layout Plain Layout
21778 \begin_inset Formula $§$
21792 \begin_inset space \hfill{}
21796 \begin_inset Tabular
21797 <lyxtabular version="3" rows="10" columns="2">
21798 <features booktabs="true" tabularvalignment="middle">
21799 <column alignment="center" valignment="top" width="0pt">
21800 <column alignment="center" valignment="top">
21802 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
21805 \begin_layout Plain Layout
21811 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
21814 \begin_layout Plain Layout
21822 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21825 \begin_layout Plain Layout
21833 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21836 \begin_layout Plain Layout
21837 \begin_inset Formula $\hbar$
21847 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21850 \begin_layout Plain Layout
21858 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21861 \begin_layout Plain Layout
21862 \begin_inset Formula $\hslash$
21872 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21875 \begin_layout Plain Layout
21883 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21886 \begin_layout Plain Layout
21887 \begin_inset Formula $\clubsuit$
21897 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21900 \begin_layout Plain Layout
21908 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21911 \begin_layout Plain Layout
21912 \begin_inset Formula $\spadesuit$
21922 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21925 \begin_layout Plain Layout
21933 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21936 \begin_layout Plain Layout
21937 \begin_inset Formula $\bigstar$
21947 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21950 \begin_layout Plain Layout
21958 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21961 \begin_layout Plain Layout
21962 \begin_inset Formula $\blacklozenge$
21972 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21975 \begin_layout Plain Layout
21983 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21986 \begin_layout Plain Layout
21987 \begin_inset Formula $\blacktriangle$
21997 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22000 \begin_layout Plain Layout
22008 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22011 \begin_layout Plain Layout
22012 \begin_inset Formula $\blacktriangledown$
22022 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22025 \begin_layout Plain Layout
22033 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
22036 \begin_layout Plain Layout
22037 \begin_inset Formula $\bullet$
22051 \begin_inset space \hfill{}
22055 \begin_inset Tabular
22056 <lyxtabular version="3" rows="10" columns="2">
22057 <features booktabs="true" tabularvalignment="middle">
22058 <column alignment="center" valignment="top" width="0pt">
22059 <column alignment="center" valignment="top" width="0pt">
22061 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
22064 \begin_layout Plain Layout
22070 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
22073 \begin_layout Plain Layout
22081 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22084 \begin_layout Plain Layout
22092 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22095 \begin_layout Plain Layout
22096 \begin_inset Formula $\diamondsuit$
22106 <cell alignment="center" valignment="top" rightline="true" usebox="none">
22109 \begin_layout Plain Layout
22117 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22120 \begin_layout Plain Layout
22121 \begin_inset Formula $\Diamond$
22131 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22134 \begin_layout Plain Layout
22142 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22145 \begin_layout Plain Layout
22146 \begin_inset Formula $\heartsuit$
22156 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22159 \begin_layout Plain Layout
22167 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22170 \begin_layout Plain Layout
22171 \begin_inset Formula $\P$
22181 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22184 \begin_layout Plain Layout
22192 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22195 \begin_layout Plain Layout
22196 \begin_inset Formula $\copyright$
22206 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22209 \begin_layout Plain Layout
22217 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22220 \begin_layout Plain Layout
22221 \begin_inset Formula $\circledR$
22231 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22234 \begin_layout Plain Layout
22242 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22245 \begin_layout Plain Layout
22246 \begin_inset Formula $\maltese$
22256 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22259 \begin_layout Plain Layout
22267 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22270 \begin_layout Plain Layout
22271 \begin_inset Formula $\diagup$
22281 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22284 \begin_layout Plain Layout
22292 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
22295 \begin_layout Plain Layout
22296 \begin_inset Formula $\diagdown$
22312 \begin_layout Standard
22313 \begin_inset VSpace medskip
22319 \begin_layout Standard
22320 寸法を変えて表示することのできる記号もあります.第
22321 \begin_inset CommandInset ref
22323 reference "subsec:書体寸法"
22330 \begin_layout Subsection
22332 \begin_inset Index idx
22335 \begin_layout Plain Layout
22336 きごう@記号 ! ゆーろつうかきごう@ユーロ通貨記号
22342 \begin_inset Index idx
22345 \begin_layout Plain Layout
22350 \begin_layout Plain Layout
22367 \begin_layout Standard
22368 ユーロ通貨記号を数式で使用するには,\SpecialChar LaTeX
22374 \begin_inset Index idx
22377 \begin_layout Plain Layout
22378 ぱっけーじ@パッケージ ! eurosym
22383 が導入されていて,以下のような\SpecialChar LaTeX
22384 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.
22387 \begin_layout Standard
22392 usepackage[gennarrow]{eurosym}
22395 \begin_layout Standard
22403 \begin_inset Index idx
22406 \begin_layout Plain Layout
22414 コマンドで挿入することができるようになります.
22417 \begin_layout Standard
22422 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.
22433 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
22440 \begin_inset Index idx
22443 \begin_layout Plain Layout
22451 コマンド(これは\SpecialChar TeX
22452 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.
22455 \begin_layout Standard
22459 \begin_layout Plain Layout
22469 \begin_inset Note Note
22472 \begin_layout Plain Layout
22473 以下の表は,\SpecialChar LaTeX
22486 \begin_layout Standard
22487 以下は,各ユーロ通貨記号のまとめです.
22490 \begin_layout Standard
22492 \begin_inset Tabular
22493 <lyxtabular version="3" rows="4" columns="3">
22494 <features booktabs="true" tabularvalignment="middle">
22495 <column alignment="center" valignment="top" width="0pt">
22496 <column alignment="center" valignment="top" width="0pt">
22497 <column alignment="center" valignment="top" width="0pt">
22499 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
22502 \begin_layout Plain Layout
22506 \begin_layout Plain Layout
22510 cmidrule[0.08em]{2-3}
22520 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22523 \begin_layout Plain Layout
22529 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
22532 \begin_layout Plain Layout
22540 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22543 \begin_layout Plain Layout
22549 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22552 \begin_layout Plain Layout
22560 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22563 \begin_layout Plain Layout
22564 \begin_inset Formula $\euro$
22574 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22577 \begin_layout Plain Layout
22583 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22586 \begin_layout Plain Layout
22592 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22595 \begin_layout Plain Layout
22603 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22606 \begin_layout Plain Layout
22613 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22616 \begin_layout Plain Layout
22624 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
22627 \begin_layout Plain Layout
22631 \begin_layout Plain Layout
22651 \begin_inset Note Note
22654 \begin_layout Plain Layout
22661 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
22677 \begin_layout Standard
22681 \begin_layout Plain Layout
22691 \begin_inset Note Note
22694 \begin_layout Plain Layout
22695 以下は,\SpecialChar LaTeX
22700 が導入されていないときのみ表示されます.
22708 \begin_layout Standard
22709 本節の残りを出力としてみるためには,\SpecialChar LaTeX
22717 \begin_layout Standard
22721 \begin_layout Plain Layout
22733 \begin_layout Section
22735 \begin_inset CommandInset label
22742 \begin_inset Index idx
22745 \begin_layout Plain Layout
22752 \begin_inset Index idx
22755 \begin_layout Plain Layout
22760 \begin_layout Plain Layout
22771 \begin_layout Plain Layout
22786 \begin_layout Standard
22790 arg "math-insert \\leq"
22796 \begin_layout Standard
22797 \begin_inset Tabular
22798 <lyxtabular version="3" rows="17" columns="2">
22799 <features booktabs="true" tabularvalignment="middle">
22800 <column alignment="center" valignment="top" width="0pt">
22801 <column alignment="center" valignment="top" width="0pt">
22803 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
22806 \begin_layout Plain Layout
22812 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
22815 \begin_layout Plain Layout
22823 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22826 \begin_layout Plain Layout
22832 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22835 \begin_layout Plain Layout
22836 \begin_inset Formula $<$
22846 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22849 \begin_layout Plain Layout
22857 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22860 \begin_layout Plain Layout
22861 \begin_inset Formula $\le$
22871 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22874 \begin_layout Plain Layout
22882 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22885 \begin_layout Plain Layout
22886 \begin_inset Formula $\ll$
22896 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22899 \begin_layout Plain Layout
22907 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22910 \begin_layout Plain Layout
22911 \begin_inset Formula $\prec$
22921 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22924 \begin_layout Plain Layout
22932 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22935 \begin_layout Plain Layout
22936 \begin_inset Formula $\preceq$
22946 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22949 \begin_layout Plain Layout
22957 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22960 \begin_layout Plain Layout
22961 \begin_inset Formula $\subset$
22971 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22974 \begin_layout Plain Layout
22982 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22985 \begin_layout Plain Layout
22986 \begin_inset Formula $\subseteq$
22996 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22999 \begin_layout Plain Layout
23007 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23010 \begin_layout Plain Layout
23011 \begin_inset Formula $\sqsubseteq$
23021 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23024 \begin_layout Plain Layout
23032 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23035 \begin_layout Plain Layout
23036 \begin_inset Formula $\in$
23046 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23049 \begin_layout Plain Layout
23057 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23060 \begin_layout Plain Layout
23061 \begin_inset Formula $\vdash$
23071 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23074 \begin_layout Plain Layout
23082 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23085 \begin_layout Plain Layout
23086 \begin_inset Formula $\smile$
23096 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23099 \begin_layout Plain Layout
23107 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23110 \begin_layout Plain Layout
23111 \begin_inset Formula $\lhd$
23121 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23124 \begin_layout Plain Layout
23132 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23135 \begin_layout Plain Layout
23136 \begin_inset Formula $\unlhd$
23146 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23149 \begin_layout Plain Layout
23157 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23160 \begin_layout Plain Layout
23161 \begin_inset Formula $\gtrless$
23171 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23174 \begin_layout Plain Layout
23182 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23185 \begin_layout Plain Layout
23186 \begin_inset Formula $\mid$
23196 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
23199 \begin_layout Plain Layout
23207 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
23210 \begin_layout Plain Layout
23211 \begin_inset Formula $\nmid$
23225 \begin_inset space \hfill{}
23229 \begin_inset Tabular
23230 <lyxtabular version="3" rows="17" columns="2">
23231 <features booktabs="true" tabularvalignment="middle">
23232 <column alignment="center" valignment="top" width="0pt">
23233 <column alignment="center" valignment="top" width="0pt">
23235 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
23238 \begin_layout Plain Layout
23244 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
23247 \begin_layout Plain Layout
23255 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23258 \begin_layout Plain Layout
23264 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23267 \begin_layout Plain Layout
23268 \begin_inset Formula $=$
23278 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23281 \begin_layout Plain Layout
23289 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23292 \begin_layout Plain Layout
23293 \begin_inset Formula $\not=$
23303 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23306 \begin_layout Plain Layout
23314 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23317 \begin_layout Plain Layout
23318 \begin_inset Formula $\equiv$
23328 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23331 \begin_layout Plain Layout
23339 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23342 \begin_layout Plain Layout
23343 \begin_inset Formula $\sim$
23353 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23356 \begin_layout Plain Layout
23364 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23367 \begin_layout Plain Layout
23368 \begin_inset Formula $\simeq$
23378 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23381 \begin_layout Plain Layout
23389 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23392 \begin_layout Plain Layout
23393 \begin_inset Formula $\approx$
23403 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23406 \begin_layout Plain Layout
23414 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23417 \begin_layout Plain Layout
23418 \begin_inset Formula $\cong$
23428 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23431 \begin_layout Plain Layout
23439 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23442 \begin_layout Plain Layout
23443 \begin_inset Formula $\bowtie$
23453 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23456 \begin_layout Plain Layout
23464 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23467 \begin_layout Plain Layout
23468 \begin_inset Formula $\notin$
23478 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23481 \begin_layout Plain Layout
23489 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23492 \begin_layout Plain Layout
23493 \begin_inset Formula $\perp$
23503 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23506 \begin_layout Plain Layout
23514 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23517 \begin_layout Plain Layout
23518 \begin_inset Formula $\propto$
23528 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23531 \begin_layout Plain Layout
23539 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23542 \begin_layout Plain Layout
23543 \begin_inset Formula $\asymp$
23553 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23556 \begin_layout Plain Layout
23564 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23567 \begin_layout Plain Layout
23568 \begin_inset Formula $\doteq$
23578 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23581 \begin_layout Plain Layout
23589 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23592 \begin_layout Plain Layout
23593 \begin_inset Formula $\circeq$
23603 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23606 \begin_layout Plain Layout
23614 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23617 \begin_layout Plain Layout
23618 \begin_inset Formula $\models$
23628 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
23631 \begin_layout Plain Layout
23639 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
23642 \begin_layout Plain Layout
23643 \begin_inset Formula $\widehat{=}$
23657 \begin_inset space \hfill{}
23661 \begin_inset Tabular
23662 <lyxtabular version="3" rows="17" columns="2">
23663 <features booktabs="true" tabularvalignment="middle">
23664 <column alignment="center" valignment="top" width="0pt">
23665 <column alignment="center" valignment="top" width="0pt">
23667 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
23670 \begin_layout Plain Layout
23676 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
23679 \begin_layout Plain Layout
23687 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23690 \begin_layout Plain Layout
23696 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23699 \begin_layout Plain Layout
23700 \begin_inset Formula $>$
23710 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23713 \begin_layout Plain Layout
23721 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23724 \begin_layout Plain Layout
23725 \begin_inset Formula $\ge$
23735 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23738 \begin_layout Plain Layout
23746 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23749 \begin_layout Plain Layout
23750 \begin_inset Formula $\gg$
23760 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23763 \begin_layout Plain Layout
23771 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23774 \begin_layout Plain Layout
23775 \begin_inset Formula $\succ$
23785 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23788 \begin_layout Plain Layout
23796 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23799 \begin_layout Plain Layout
23800 \begin_inset Formula $\succeq$
23810 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23813 \begin_layout Plain Layout
23821 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23824 \begin_layout Plain Layout
23825 \begin_inset Formula $\supset$
23835 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23838 \begin_layout Plain Layout
23846 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23849 \begin_layout Plain Layout
23850 \begin_inset Formula $\supseteq$
23860 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23863 \begin_layout Plain Layout
23871 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23874 \begin_layout Plain Layout
23875 \begin_inset Formula $\sqsupseteq$
23885 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23888 \begin_layout Plain Layout
23896 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23899 \begin_layout Plain Layout
23900 \begin_inset Formula $\ni$
23910 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23913 \begin_layout Plain Layout
23921 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23924 \begin_layout Plain Layout
23925 \begin_inset Formula $\dashv$
23935 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23938 \begin_layout Plain Layout
23946 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23949 \begin_layout Plain Layout
23950 \begin_inset Formula $\frown$
23960 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23963 \begin_layout Plain Layout
23971 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23974 \begin_layout Plain Layout
23975 \begin_inset Formula $\rhd$
23985 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23988 \begin_layout Plain Layout
23996 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23999 \begin_layout Plain Layout
24000 \begin_inset Formula $\unrhd$
24010 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24013 \begin_layout Plain Layout
24021 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24024 \begin_layout Plain Layout
24025 \begin_inset Formula $\lessgtr$
24035 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24038 \begin_layout Plain Layout
24046 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24049 \begin_layout Plain Layout
24050 \begin_inset Formula $\parallel$
24060 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
24063 \begin_layout Plain Layout
24071 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
24074 \begin_layout Plain Layout
24075 \begin_inset Formula $\nparallel$
24091 \begin_layout Standard
24092 \begin_inset VSpace medskip
24122 \begin_layout Standard
24124 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
24127 arg "math-insert \\leqq"
24133 \begin_layout Standard
24134 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.
24137 \begin_layout Standard
24145 \begin_inset Index idx
24148 \begin_layout Plain Layout
24156 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.
24159 \begin_layout Standard
24161 \begin_inset Tabular
24162 <lyxtabular version="3" rows="2" columns="2">
24163 <features booktabs="true" tabularvalignment="middle">
24164 <column alignment="center" valignment="top" width="0pt">
24165 <column alignment="center" valignment="top">
24167 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24170 \begin_layout Plain Layout
24176 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
24179 \begin_layout Plain Layout
24186 <row topspace="1.5mm">
24187 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
24190 \begin_layout Plain Layout
24194 \begin_inset space \textvisiblespace{}
24202 \begin_inset space \textvisiblespace{}
24206 \begin_inset Formula $\downarrow$
24212 \begin_inset space \textvisiblespace{}
24216 \begin_inset space \textvisiblespace{}
24224 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
24227 \begin_layout Plain Layout
24228 \begin_inset Formula $A(r)\stackrel{r\to\infty}{\approx}B$
24244 \begin_layout Section
24248 \begin_layout Subsection
24250 \begin_inset CommandInset label
24252 name "subsec:定義済み函数"
24257 \begin_inset Index idx
24260 \begin_layout Plain Layout
24261 かんすう@関数 ! ていぎずみ@定義済み
24269 \begin_layout Standard
24274 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,
24275 \begin_inset Formula $sin$
24279 \begin_inset Formula $s\cdot i\cdot n$
24282 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
24283 ックスラッシュを加えたコマンドとして挿入します.
24286 \begin_layout Standard
24288 \begin_inset Tabular
24289 <lyxtabular version="3" rows="2" columns="2">
24290 <features booktabs="true" tabularvalignment="middle">
24291 <column alignment="center" valignment="top" width="0pt">
24292 <column alignment="center" valignment="top" width="0pt">
24294 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
24297 \begin_layout Plain Layout
24303 <cell alignment="center" valignment="top" topline="true" bottomline="true" rightline="true" usebox="none">
24306 \begin_layout Plain Layout
24314 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
24317 \begin_layout Plain Layout
24323 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
24326 \begin_layout Plain Layout
24327 \begin_inset Formula $Asin(x)+B$
24341 \begin_inset space \quad{}
24345 \begin_inset Tabular
24346 <lyxtabular version="3" rows="2" columns="2">
24347 <features booktabs="true" tabularvalignment="middle">
24348 <column alignment="center" valignment="top" width="0pt">
24349 <column alignment="center" valignment="top" width="0pt">
24351 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
24354 \begin_layout Plain Layout
24360 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
24363 \begin_layout Plain Layout
24371 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
24374 \begin_layout Plain Layout
24382 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
24385 \begin_layout Plain Layout
24386 \begin_inset Formula $A\sin(x)+B$
24402 \begin_layout Standard
24406 \begin_layout Standard
24407 \begin_inset VSpace -2mm
24413 \begin_layout Standard
24415 \begin_inset Tabular
24416 <lyxtabular version="3" rows="9" columns="4">
24417 <features booktabs="true" tabularvalignment="middle">
24418 <column alignment="center" valignment="top" width="0pt">
24419 <column alignment="center" valignment="top" width="0pt">
24420 <column alignment="center" valignment="top" width="0pt">
24421 <column alignment="center" valignment="top" width="0pt">
24423 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24426 \begin_layout Plain Layout
24432 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24435 \begin_layout Plain Layout
24441 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24444 \begin_layout Plain Layout
24450 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
24453 \begin_layout Plain Layout
24461 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24464 \begin_layout Plain Layout
24472 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24475 \begin_layout Plain Layout
24483 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24486 \begin_layout Plain Layout
24494 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24497 \begin_layout Plain Layout
24507 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24510 \begin_layout Plain Layout
24518 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24521 \begin_layout Plain Layout
24529 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24532 \begin_layout Plain Layout
24540 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24543 \begin_layout Plain Layout
24553 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24556 \begin_layout Plain Layout
24564 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24567 \begin_layout Plain Layout
24575 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24578 \begin_layout Plain Layout
24586 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24589 \begin_layout Plain Layout
24599 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24602 \begin_layout Plain Layout
24610 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24613 \begin_layout Plain Layout
24621 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24624 \begin_layout Plain Layout
24632 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24635 \begin_layout Plain Layout
24645 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24648 \begin_layout Plain Layout
24656 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24659 \begin_layout Plain Layout
24667 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24670 \begin_layout Plain Layout
24678 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24681 \begin_layout Plain Layout
24691 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24694 \begin_layout Plain Layout
24702 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24705 \begin_layout Plain Layout
24713 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24716 \begin_layout Plain Layout
24724 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24727 \begin_layout Plain Layout
24737 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24740 \begin_layout Plain Layout
24748 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24751 \begin_layout Plain Layout
24759 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24762 \begin_layout Plain Layout
24770 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24773 \begin_layout Plain Layout
24783 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
24786 \begin_layout Plain Layout
24794 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
24797 \begin_layout Plain Layout
24805 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
24808 \begin_layout Plain Layout
24816 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
24819 \begin_layout Plain Layout
24835 \begin_layout Standard
24839 arg "math-insert \\functions"
24845 \begin_layout Subsection
24847 \begin_inset Index idx
24850 \begin_layout Plain Layout
24851 かんすう@関数 ! じこていぎ@自己定義
24859 \begin_layout Standard
24860 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.
24863 \begin_layout Itemize
24864 以下の行を\SpecialChar LaTeX
24865 プリアンブルに加えることによって関数を定義します.
24869 \begin_layout Plain Layout
24874 DeclareMathOperator
24877 \begin_inset CommandInset ref
24879 reference "subsec:自己定義演算子"
24889 \begin_inset Newline newline
24893 \begin_inset VSpace -3mm
24897 \begin_inset Newline newline
24904 DeclareMathOperator{
24909 \begin_inset Index idx
24912 \begin_layout Plain Layout
24917 DeclareMathOperator
24923 \begin_inset Newline newline
24927 \begin_inset VSpace -2mm
24931 \begin_inset Newline newline
24940 コマンドで呼び出すことができるようになります.
24943 \begin_layout Itemize
24944 数式を普通に書き下し,関数名を選択して(上記の例では
24948 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.
24951 \begin_layout Standard
24952 双方とも定義済み関数と同等の出力をもたらします
24956 \begin_layout Plain Layout
24958 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.
24966 \begin_layout Standard
24968 \begin_inset Tabular
24969 <lyxtabular version="3" rows="3" columns="2">
24970 <features booktabs="true" tabularvalignment="middle">
24971 <column alignment="center" valignment="top" width="0pt">
24972 <column alignment="center" valignment="top" width="0pt">
24974 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24977 \begin_layout Plain Layout
24983 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
24986 \begin_layout Plain Layout
24994 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24997 \begin_layout Plain Layout
25005 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25008 \begin_layout Plain Layout
25009 \begin_inset Formula $A\sgn(x)+B$
25019 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
25022 \begin_layout Plain Layout
25026 \begin_inset Formula $\underbrace{\textrm{sgn}}_{\textrm{Alt+M}\,\textrm{M}}$
25034 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25037 \begin_layout Plain Layout
25038 \begin_inset Formula $A\,\textrm{sgn}(x)+B$
25054 \begin_layout Standard
25055 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.
25058 \begin_layout Subsection
25060 \begin_inset Index idx
25063 \begin_layout Plain Layout
25072 \begin_layout Standard
25080 \begin_inset Index idx
25083 \begin_layout Plain Layout
25106 \begin_layout Standard
25108 \begin_inset Tabular
25109 <lyxtabular version="3" rows="5" columns="2">
25110 <features booktabs="true" tabularvalignment="middle">
25111 <column alignment="center" valignment="top" width="0pt">
25112 <column alignment="center" valignment="top" width="0pt">
25114 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
25117 \begin_layout Plain Layout
25123 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25126 \begin_layout Plain Layout
25134 <cell alignment="center" valignment="top" leftline="true" usebox="none">
25137 \begin_layout Plain Layout
25145 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25148 \begin_layout Plain Layout
25149 \begin_inset Formula $\varliminf$
25158 <row topspace="1.5mm">
25159 <cell alignment="center" valignment="top" usebox="none">
25162 \begin_layout Plain Layout
25170 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25173 \begin_layout Plain Layout
25174 \begin_inset Formula $\varlimsup$
25183 <row topspace="1.5mm">
25184 <cell alignment="center" valignment="top" usebox="none">
25187 \begin_layout Plain Layout
25195 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25198 \begin_layout Plain Layout
25199 \begin_inset Formula $\varprojlim$
25208 <row topspace="1.5mm" bottomspace="1mm">
25209 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
25212 \begin_layout Plain Layout
25220 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
25223 \begin_layout Plain Layout
25224 \begin_inset Formula $\varinjlim$
25240 \begin_layout Standard
25241 \begin_inset VSpace medskip
25244 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.
25247 \begin_layout Standard
25249 \begin_inset Tabular
25250 <lyxtabular version="3" rows="2" columns="2">
25251 <features booktabs="true" tabularvalignment="middle">
25252 <column alignment="center" valignment="top" width="0pt">
25253 <column alignment="center" valignment="top" width="0pt">
25255 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
25258 \begin_layout Plain Layout
25264 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
25267 \begin_layout Plain Layout
25275 <cell alignment="center" valignment="top" usebox="none">
25278 \begin_layout Plain Layout
25284 \begin_inset space \textvisiblespace{}
25288 \begin_inset space \textvisiblespace{}
25296 <cell alignment="center" valignment="top" usebox="none">
25299 \begin_layout Plain Layout
25300 \begin_inset Formula $\lim_{x\to A}x=B$
25316 \begin_layout Standard
25317 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.
25318 \begin_inset Formula
25328 \begin_layout Standard
25329 \begin_inset VSpace medskip
25335 \begin_layout Standard
25336 極限の組版を調整する仕方については,第
25337 \begin_inset CommandInset ref
25339 reference "subsec:演算子の範囲"
25346 \begin_layout Subsection
25348 \begin_inset Index idx
25351 \begin_layout Plain Layout
25358 \begin_inset Index idx
25361 \begin_layout Plain Layout
25362 かんすう@関数 ! もじゅらす@モジュラス
25366 \begin_layout Plain Layout
25377 \begin_layout Plain Layout
25392 \begin_layout Standard
25393 剰余関数は,特別に4つの派生型があります.
25396 \begin_layout Standard
25398 \begin_inset Formula
25400 \underline{\textrm{コマンド}\raisebox{-0.9mm}{}} & & \underline{\textrm{出力}}\\
25401 \mathrm{a\backslash mod\textrm{␣}b} & & a\mod b\\
25402 \mathrm{a\backslash pmod\textrm{␣}b} & & a\pmod b\\
25403 \mathrm{a\backslash bmod\textrm{␣}b} & & a\bmod b\\
25404 \mathrm{a\backslash pod\textrm{␣}b} & & a\pod b
25412 \begin_layout Standard
25413 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
25414 のように文字を\SpecialChar TeX
25416 \begin_inset Formula
25418 \underline{\textrm{コマンド}\raisebox{-0.9mm}{}} & & \underline{\textrm{出力}}\\
25419 \mathrm{a\backslash pod\textrm{␣}bcd} & & a\pod bcd\\
25420 \mathrm{a\backslash pod\backslash\{bc\backslash\}d} & & a\pod{bc}d
25428 \begin_layout Section
25430 \begin_inset Index idx
25433 \begin_layout Plain Layout
25442 \begin_layout Standard
25443 ^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
25448 \begin_layout Standard
25451 \begin_inset Tabular
25452 <lyxtabular version="3" rows="3" columns="2">
25453 <features booktabs="true" tabularvalignment="middle">
25454 <column alignment="left" valignment="top" width="0pt">
25455 <column alignment="block" valignment="top">
25457 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
25460 \begin_layout Plain Layout
25466 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25469 \begin_layout Plain Layout
25477 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25480 \begin_layout Plain Layout
25484 \begin_inset space \textvisiblespace{}
25492 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25495 \begin_layout Plain Layout
25496 \begin_inset Formula $\mathcircumflex$
25506 <cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
25509 \begin_layout Plain Layout
25517 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
25520 \begin_layout Plain Layout
25521 \begin_inset Formula $\_$
25537 \begin_layout Subsection
25541 \begin_layout Standard
25542 以下の各コマンドは,数式テキストか\SpecialChar TeX
25543 モード中でのみ使用することができます.
25546 \begin_layout Standard
25547 \begin_inset space \hfill{}
25551 \begin_inset Tabular
25552 <lyxtabular version="3" rows="8" columns="2">
25553 <features booktabs="true" tabularvalignment="middle">
25554 <column alignment="left" valignment="top" width="0pt">
25555 <column alignment="block" valignment="top">
25557 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
25560 \begin_layout Plain Layout
25566 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25569 \begin_layout Plain Layout
25577 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25580 \begin_layout Plain Layout
25588 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25591 \begin_layout Plain Layout
25592 \begin_inset Formula $\textrm{œ}$
25602 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25605 \begin_layout Plain Layout
25613 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25616 \begin_layout Plain Layout
25617 \begin_inset Formula $\textrm{Œ}$
25627 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25630 \begin_layout Plain Layout
25638 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25641 \begin_layout Plain Layout
25642 \begin_inset Formula $\textrm{æ}$
25652 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25655 \begin_layout Plain Layout
25663 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25666 \begin_layout Plain Layout
25667 \begin_inset Formula $\textrm{Æ}$
25677 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25680 \begin_layout Plain Layout
25688 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25691 \begin_layout Plain Layout
25692 \begin_inset Formula $\textrm{å}$
25702 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25705 \begin_layout Plain Layout
25713 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25716 \begin_layout Plain Layout
25717 \begin_inset Formula $\textrm{Å}$
25727 <cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
25730 \begin_layout Plain Layout
25738 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
25741 \begin_layout Plain Layout
25742 \begin_inset Formula $\textrm{ı}$
25756 \begin_inset space \hfill{}
25760 \begin_inset Tabular
25761 <lyxtabular version="3" rows="8" columns="2">
25762 <features booktabs="true" tabularvalignment="middle">
25763 <column alignment="left" valignment="top" width="0pt">
25764 <column alignment="center" valignment="top">
25766 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
25769 \begin_layout Plain Layout
25771 \begin_inset Note Note
25774 \begin_layout Plain Layout
25776 \begin_inset space \thinspace{}
25779 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.
25789 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25792 \begin_layout Plain Layout
25800 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25803 \begin_layout Plain Layout
25811 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25814 \begin_layout Plain Layout
25815 \begin_inset Formula $\textrm{ø}$
25825 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25828 \begin_layout Plain Layout
25836 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25839 \begin_layout Plain Layout
25840 \begin_inset Formula $\textrm{Ø}$
25850 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25853 \begin_layout Plain Layout
25861 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25864 \begin_layout Plain Layout
25865 \begin_inset Formula $\textrm{ł}$
25875 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25878 \begin_layout Plain Layout
25886 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25889 \begin_layout Plain Layout
25890 \begin_inset Formula $\textrm{Ł}$
25900 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25903 \begin_layout Plain Layout
25905 \begin_inset space \hspace{}
25910 \begin_inset space \textvisiblespace{}
25918 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25921 \begin_layout Plain Layout
25922 \begin_inset Formula $\textrm{!`}$
25932 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25935 \begin_layout Plain Layout
25937 \begin_inset space \hspace{}
25942 \begin_inset space \textvisiblespace{}
25950 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25953 \begin_layout Plain Layout
25954 \begin_inset Formula $\textrm{?`}$
25964 <cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
25967 \begin_layout Plain Layout
25975 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
25978 \begin_layout Plain Layout
25979 \begin_inset Formula $\textrm{ȷ}$
25993 \begin_inset space \hfill{}
25999 \begin_layout Standard
26000 \begin_inset Formula $\textrm{\textrm{Å}}$
26004 \begin_inset Formula $\textrm{\textrm{Ø}}$
26010 arg "math-insert \\digamma"
26016 \begin_layout Standard
26020 \begin_inset space \hspace{}
26029 \begin_inset space \hspace{}
26035 の各コマンドで,これらは直接\SpecialChar LyX
26039 \begin_layout Subsection
26041 \begin_inset CommandInset label
26043 name "subsec:文章中のアクセント"
26048 \begin_inset Index idx
26051 \begin_layout Plain Layout
26052 あくせんと@アクセント ! ぶんしょうちゅうの@文章中の
26060 \begin_layout Standard
26061 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
26065 \begin_layout Standard
26066 \begin_inset space \hfill{}
26070 \begin_inset Tabular
26071 <lyxtabular version="3" rows="8" columns="2">
26072 <features booktabs="true" tabularvalignment="middle">
26073 <column alignment="left" valignment="top" width="0pt">
26074 <column alignment="block" valignment="top">
26076 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
26079 \begin_layout Plain Layout
26085 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
26088 \begin_layout Plain Layout
26096 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26099 \begin_layout Plain Layout
26103 \begin_inset Quotes grd
26111 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26114 \begin_layout Plain Layout
26118 \begin_layout Plain Layout
26134 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26137 \begin_layout Plain Layout
26145 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26148 \begin_layout Plain Layout
26152 \begin_layout Plain Layout
26168 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26171 \begin_layout Plain Layout
26175 \begin_inset space \textvisiblespace{}
26183 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26186 \begin_layout Plain Layout
26190 \begin_layout Plain Layout
26206 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26209 \begin_layout Plain Layout
26217 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26220 \begin_layout Plain Layout
26224 \begin_layout Plain Layout
26240 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26243 \begin_layout Plain Layout
26247 \begin_inset space \textvisiblespace{}
26255 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26258 \begin_layout Plain Layout
26262 \begin_layout Plain Layout
26278 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26281 \begin_layout Plain Layout
26285 \begin_inset space \textvisiblespace{}
26293 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26296 \begin_layout Plain Layout
26300 \begin_layout Plain Layout
26316 <cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
26319 \begin_layout Plain Layout
26323 \begin_inset space \textvisiblespace{}
26331 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
26334 \begin_layout Plain Layout
26338 \begin_layout Plain Layout
26358 \begin_inset space \hfill{}
26362 \begin_inset Tabular
26363 <lyxtabular version="3" rows="8" columns="2">
26364 <features booktabs="true" tabularvalignment="middle">
26365 <column alignment="left" valignment="top" width="0pt">
26366 <column alignment="center" valignment="top">
26368 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
26371 \begin_layout Plain Layout
26377 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
26380 \begin_layout Plain Layout
26388 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26391 \begin_layout Plain Layout
26395 \begin_inset space \textvisiblespace{}
26403 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26406 \begin_layout Plain Layout
26410 \begin_layout Plain Layout
26426 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26429 \begin_layout Plain Layout
26437 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26440 \begin_layout Plain Layout
26444 \begin_layout Plain Layout
26460 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26463 \begin_layout Plain Layout
26467 \begin_inset Index idx
26470 \begin_layout Plain Layout
26481 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26484 \begin_layout Plain Layout
26488 \begin_layout Plain Layout
26504 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26507 \begin_layout Plain Layout
26515 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26518 \begin_layout Plain Layout
26522 \begin_layout Plain Layout
26538 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26541 \begin_layout Plain Layout
26545 \begin_inset space \textvisiblespace{}
26553 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26556 \begin_layout Plain Layout
26560 \begin_layout Plain Layout
26576 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26579 \begin_layout Plain Layout
26583 \begin_inset space \textvisiblespace{}
26591 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26594 \begin_layout Plain Layout
26598 \begin_layout Plain Layout
26614 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26617 \begin_layout Plain Layout
26621 \begin_inset space \textvisiblespace{}
26629 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26632 \begin_layout Plain Layout
26636 \begin_layout Plain Layout
26656 \begin_inset space \hfill{}
26662 \begin_layout Standard
26663 \begin_inset VSpace medskip
26672 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
26677 \begin_inset space \textvisiblespace{}
26686 \begin_layout Plain Layout
26698 \begin_layout Standard
26711 の各アクセントは,\SpecialChar TeX
26712 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
26716 \begin_layout Plain Layout
26717 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.
26741 \begin_layout Standard
26784 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
26786 \begin_inset CommandInset ref
26788 reference "subsec:一文字に付けるアクセント"
26795 \begin_layout Standard
26796 \begin_inset VSpace bigskip
26806 \begin_inset Index idx
26809 \begin_layout Plain Layout
26817 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.
26820 \begin_layout Standard
26822 \begin_inset Tabular
26823 <lyxtabular version="3" rows="3" columns="2">
26824 <features booktabs="true" tabularvalignment="middle">
26825 <column alignment="center" valignment="top" width="0pt">
26826 <column alignment="center" valignment="top">
26828 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
26831 \begin_layout Plain Layout
26837 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
26840 \begin_layout Plain Layout
26848 <cell alignment="center" valignment="top" leftline="true" usebox="none">
26851 \begin_layout Plain Layout
26859 <cell multicolumn="1" alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26862 \begin_layout Plain Layout
26866 \begin_layout Plain Layout
26881 <row topspace="1mm">
26882 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
26885 \begin_layout Plain Layout
26896 raisebox{-1.5pt}{W}}
26901 <cell multicolumn="1" alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
26904 \begin_layout Plain Layout
26908 \begin_layout Plain Layout
26938 \begin_layout Standard
26939 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,
26949 \begin_layout Plain Layout
26951 \begin_inset CommandInset ref
26953 reference "subsec:書体寸法"
26972 \begin_layout Plain Layout
26974 \begin_inset CommandInset ref
26976 reference "subsec:枠なしボックス"
26985 を使って,文字が真ん中にくるようにしています.
26988 \begin_layout Subsection
26990 \begin_inset Index idx
26993 \begin_layout Plain Layout
27002 \begin_layout Standard
27010 \begin_inset Index idx
27013 \begin_layout Plain Layout
27021 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
27022 モード中でも使うことができます.コマンド書式は,
27025 \begin_layout Standard
27033 \begin_layout Standard
27038 oldstylenums{0123456789}
27041 \begin_inset Formula $\oldstylenums{0123456789}$
27047 \begin_layout Section
27049 \begin_inset CommandInset label
27056 \begin_inset Index idx
27059 \begin_layout Plain Layout
27068 \begin_layout Itemize
27073 \begin_layout Description
27077 \begin_layout Description
27080 文書\SpecialChar menuseparator
27090 \begin_layout Standard
27095 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.
27099 \begin_layout Itemize
27102 文書\SpecialChar menuseparator
27113 \begin_layout Description
27117 \begin_layout Description
27122 \begin_layout Standard
27123 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,
27127 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
27128 \begin_inset CommandInset ref
27130 reference "subsec:flalign環境"
27137 \begin_layout Section
27139 \begin_inset CommandInset label
27146 \begin_inset Index idx
27149 \begin_layout Plain Layout
27151 \begin_inset space \thinspace{}
27162 \begin_layout Subsection
27166 \begin_layout Standard
27171 arg "newline-insert newline"
27174 を押すことで作られます.この操作によって,第
27175 \begin_inset CommandInset ref
27177 reference "subsec:eqnarray環境"
27189 オプションが選択されている場合には,第
27190 \begin_inset CommandInset ref
27192 reference "subsec:標準align環境"
27203 \begin_layout Standard
27206 挿入\SpecialChar menuseparator
27209 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.
27212 \begin_layout Standard
27216 arg "newline-insert newline"
27219 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
27222 arg "tabular-feature append-row"
27228 arg "tabular-feature delete-row"
27233 編集\SpecialChar menuseparator
27239 \begin_layout Subsubsection
27241 \begin_inset CommandInset label
27248 \begin_inset Index idx
27251 \begin_layout Plain Layout
27253 \begin_inset space \thinspace{}
27264 \begin_layout Standard
27265 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.
27266 \begin_inset Formula
27268 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}\\
27269 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
27277 \begin_layout Standard
27279 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
27284 \begin_layout Plain Layout
27285 \begin_inset CommandInset href
27287 name "LyX-bug #1505"
27288 target "http://www.lyx.org/trac/ticket/1505"
27298 ので,数式全体を\SpecialChar TeX
27299 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
27307 というコマンドを入れます.すると,次のようになります.
27311 \begin_layout Plain Layout
27318 \begin_layout Plain Layout
27320 B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD &
27323 textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}
27330 \begin_layout Plain Layout
27334 left(B^{2}+x_{0}^{2}
27342 left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}
27347 \begin_layout Plain Layout
27359 \begin_layout Standard
27360 \begin_inset VSpace bigskip
27363 同一数式内のすべての行の行間を一律に指定するには,
27370 \begin_inset Index idx
27373 \begin_layout Plain Layout
27382 \begin_inset Formula $\mbox{行間}=\mathrm{6\,pt+\backslash jot}$
27392 \begin_inset space \thinspace{}
27396 \begin_inset space \thinspace{}
27402 \begin_layout Standard
27412 \begin_layout Standard
27413 というコマンドを,数式直前に\SpecialChar TeX
27414 モードで入れておきます.これを行うには,\SpecialChar LaTeX
27418 \begin_layout Standard
27426 \begin_layout Standard
27427 という行を入れて,\SpecialChar LaTeX
27436 \begin_layout Plain Layout
27441 は標準的な\SpecialChar LaTeX
27448 \begin_inset Index idx
27451 \begin_layout Plain Layout
27457 を読み込んでおく必要があります.すると,
27461 \begin_layout Plain Layout
27473 \begin_inset Formula
27475 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}\\
27476 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
27484 \begin_layout Standard
27488 \begin_layout Plain Layout
27499 のような結果を得ます.行間を既定値に戻すには,
27506 \begin_inset space \thinspace{}
27512 \begin_layout Subsubsection
27514 \begin_inset CommandInset label
27521 \begin_inset Index idx
27524 \begin_layout Plain Layout
27526 \begin_inset space \thinspace{}
27537 \begin_layout Standard
27538 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
27542 \begin_layout Standard
27550 \begin_inset Index idx
27553 \begin_layout Plain Layout
27562 \begin_inset Newline newline
27566 \begin_inset space \thinspace{}
27576 \begin_inset Newline newline
27582 \begin_layout Standard
27592 \begin_layout Standard
27593 というコマンドを\SpecialChar TeX
27594 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
27595 \begin_inset space \thinspace{}
27598 cmになります.これを既定値に戻すには,
27605 \begin_inset space \thinspace{}
27611 \begin_layout Standard
27613 \begin_inset space \thinspace{}
27620 \begin_layout Plain Layout
27632 \begin_inset Formula
27641 \begin_inset space \thinspace{}
27648 \begin_layout Plain Layout
27660 \begin_inset Formula
27671 \begin_layout Subsubsection
27673 \begin_inset Index idx
27676 \begin_layout Plain Layout
27685 \begin_layout Standard
27686 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.
27689 \begin_layout Itemize
27690 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.
27691 \begin_inset Formula
27693 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 \\
27694 & & -\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}
27699 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
27700 示されません.これを避けるために,マイナス記号の後に
27710 \begin_layout Plain Layout
27718 \begin_inset CommandInset ref
27720 reference "subsec:可変長の空白"
27730 \begin_inset Index idx
27733 \begin_layout Plain Layout
27742 \begin_inset space \thinspace{}
27748 \begin_layout Itemize
27756 \begin_inset Index idx
27759 \begin_layout Plain Layout
27767 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.
27768 \begin_inset Formula
27770 \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 \\
27771 & & -\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 \\
27772 & & =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}
27783 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.
27784 \begin_inset Newline newline
27787 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.
27788 \begin_inset VSpace medskip
27792 \begin_inset Newline newline
27796 \begin_inset Note Greyedout
27799 \begin_layout Plain Layout
27806 を使用する際には,以下のことにご注意下さい.
27809 \begin_layout Itemize
27810 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
27811 \begin_inset Formula $-B^{2}$
27814 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.
27817 \begin_layout Itemize
27819 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
27823 \begin_layout Plain Layout
27824 \begin_inset CommandInset href
27826 name "LyX-bug #1429"
27827 target "http://www.lyx.org/trac/ticket/1429"
27838 \begin_inset Flex Ruby
27841 \begin_layout Plain Layout
27843 \begin_inset Argument post:1
27846 \begin_layout Plain Layout
27865 \begin_layout Itemize
27867 \begin_inset CommandInset ref
27869 reference "subsec:multline環境"
27874 \begin_inset CommandInset ref
27876 reference "subsec:数式の一部の多行化"
27880 節で述べられている環境を用いる方法があります.
27883 \begin_layout Subsubsection
27885 \begin_inset CommandInset label
27887 name "subsec:多行にわたる分数"
27892 \begin_inset Index idx
27895 \begin_layout Plain Layout
27896 ぶんすう@分数 ! たぎょうにわたる@多行にわたる
27904 \begin_layout Standard
27905 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,
27912 \begin_inset Index idx
27915 \begin_layout Plain Layout
27923 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
27932 \begin_inset Index idx
27935 \begin_layout Plain Layout
27936 ぱっけーじ@パッケージ ! mathtools
27954 \begin_layout Standard
27959 splitfrac{1行目}{2行目}
27962 \begin_layout Standard
27963 となっており,分母にも分子にも使うことができます.
27966 \begin_layout Standard
27967 \begin_inset Formula
27969 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}
27974 上記の最初の分子に使われているコマンドは,
27977 \begin_layout Standard
27982 splitfrac{xy+xy+xy+xy+xy
27983 \begin_inset space \textvisiblespace{}
27991 \begin_layout Standard
27995 \begin_layout Subsubsection
27997 \begin_inset CommandInset label
27999 name "subsec:多行にわたる括弧"
28004 \begin_inset Index idx
28007 \begin_layout Plain Layout
28008 かっこ@括弧 ! たぎょうすうしきよう@多行数式用
28016 \begin_layout Standard
28017 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.
28018 \begin_inset Formula
28020 A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
28021 & & \left.\cdots+B-D\right]
28029 \begin_layout Standard
28030 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.
28033 \begin_layout Standard
28034 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
28041 \begin_inset Index idx
28044 \begin_layout Plain Layout
28060 \begin_layout Plain Layout
28074 \begin_inset CommandInset ref
28076 reference "subsec:自動の括弧丈"
28088 \begin_inset Index idx
28091 \begin_layout Plain Layout
28099 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,
28112 \begin_inset space \textvisiblespace{}
28122 \begin_inset space \textvisiblespace{}
28132 \begin_inset space \textvisiblespace{}
28138 \begin_inset Formula $\downarrow$
28144 \begin_inset Index idx
28147 \begin_layout Plain Layout
28158 \begin_layout Standard
28160 \begin_inset Formula
28162 A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
28163 & & \left.\vphantom{\prod_{R=1}^{\infty}}\cdots+B-D\right]
28171 \begin_layout Subsection
28175 \begin_layout Standard
28176 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.
28179 \begin_layout Standard
28180 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.
28183 \begin_layout Standard
28186 挿入\SpecialChar menuseparator
28191 編集\SpecialChar menuseparator
28192 数式\SpecialChar menuseparator
28195 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.
28198 \begin_layout Standard
28199 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
28202 arg "tabular-feature append-column"
28208 arg "tabular-feature delete-column"
28213 編集\SpecialChar menuseparator
28219 \begin_layout Subsubsection
28221 \begin_inset CommandInset label
28223 name "subsec:標準align環境"
28228 \begin_inset Index idx
28231 \begin_layout Plain Layout
28233 \begin_inset space \thinspace{}
28236 —— ! alignかんきょう@align環境
28244 \begin_layout Standard
28248 arg "newline-insert newline"
28253 挿入\SpecialChar menuseparator
28254 数式\SpecialChar menuseparator
28260 \begin_layout Standard
28261 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.
28262 \begin_inset Formula
28264 A & =\sin(B) & C & =D\\
28265 C & \ne A & B & \ne D
28270 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
28278 \begin_layout Plain Layout
28286 \begin_inset CommandInset ref
28288 reference "subsec:可変長の空白"
28299 があるかのように配置されます.数式様式として
28305 \begin_layout Plain Layout
28311 \begin_inset CommandInset ref
28313 reference "sec:数式様式"
28333 \begin_layout Subsubsection
28335 \begin_inset Index idx
28338 \begin_layout Plain Layout
28340 \begin_inset space \thinspace{}
28343 —— ! alignatかんきょう@alignat環境
28351 \begin_layout Standard
28352 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
28353 \begin_inset CommandInset ref
28355 reference "subsec:空白"
28359 節に述べられている空白を使用して手動で入れます.
28362 \begin_layout Standard
28363 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
28364 \begin_inset space \thinspace{}
28368 \begin_inset Formula
28369 \begin{alignat*}{2}
28370 A & =\sin(B) & \hspace{1cm}C & =D\\
28371 C & \ne A & B & \ne D
28376 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.
28379 \begin_layout Subsubsection
28381 \begin_inset CommandInset label
28383 name "subsec:flalign環境"
28388 \begin_inset Index idx
28391 \begin_layout Plain Layout
28393 \begin_inset space \thinspace{}
28396 —— ! flalignかんきょう@flalign環境
28404 \begin_layout Standard
28405 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.
28406 \begin_inset Formula
28408 A & =1 & B & =2 & C & =3\\
28409 X & =\textrm{-}1 & Y & =\textrm{-}2 & Z & =4
28417 \begin_layout Standard
28418 奇数列のflalign環境を作成し,最後の列に空の\SpecialChar TeX
28423 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
28424 \begin_inset CommandInset ref
28426 reference "eq:VolInt"
28431 \begin_inset Formula
28433 \hspace{30pt}\iiint\limits _{V}X\,\mathrm{d}V & =U & {}
28438 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
28439 \begin_inset space \thinspace{}
28442 ptの空白が第1列の頭に入れてあります.
28445 \begin_layout Subsection
28447 \begin_inset CommandInset label
28449 name "subsec:eqnarray環境"
28454 \begin_inset Index idx
28457 \begin_layout Plain Layout
28459 \begin_inset space \thinspace{}
28462 —— ! eqnarrayかんきょう@eqnarray環境
28470 \begin_layout Standard
28471 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
28472 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.
28473 \begin_inset Formula
28475 \frac{ABC}{D} & \frac{ABC}{D} & \frac{ABC}{D}\\
28485 \begin_layout Subsection
28487 \begin_inset Index idx
28490 \begin_layout Plain Layout
28492 \begin_inset space \thinspace{}
28495 —— ! gatherかんきょう@gather環境
28503 \begin_layout Standard
28504 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.
28505 \begin_inset Formula
28516 \begin_layout Subsection
28518 \begin_inset CommandInset label
28520 name "subsec:multline環境"
28525 \begin_inset Index idx
28528 \begin_layout Plain Layout
28530 \begin_inset space \thinspace{}
28533 —— ! multlineかんきょう@multpline環境
28541 \begin_layout Standard
28542 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
28543 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,
28544 \begin_inset CommandInset ref
28546 reference "eq:lefteqn"
28550 式をmultline環境に置いたものを示します.
28551 \begin_inset Formula
28553 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}\\
28554 -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}\\
28555 =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}}
28563 \begin_layout Standard
28564 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
28568 \begin_layout Plain Layout
28570 \begin_inset CommandInset ref
28572 reference "sec:数式様式"
28584 \begin_layout Standard
28590 \begin_inset Index idx
28593 \begin_layout Plain Layout
28604 \begin_inset Index idx
28607 \begin_layout Plain Layout
28617 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.
28620 \begin_layout Standard
28634 \begin_layout Standard
28635 \begin_inset VSpace medskip
28643 \begin_inset Index idx
28646 \begin_layout Plain Layout
28656 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
28657 \begin_inset space \thinspace{}
28663 \begin_layout Standard
28667 \begin_layout Standard
28677 \begin_layout Standard
28678 というコマンドを,\SpecialChar TeX
28683 \begin_layout Plain Layout
28695 \begin_inset Formula
28697 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}\\
28698 \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}}\\
28699 =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}}
28708 \begin_layout Plain Layout
28728 \begin_layout Subsection
28730 \begin_inset CommandInset label
28732 name "subsec:数式の一部の多行化"
28737 \begin_inset Index idx
28740 \begin_layout Plain Layout
28742 \begin_inset space \thinspace{}
28745 —— ! すうしきのいちぶ@数式の一部
28753 \begin_layout Standard
28754 数式の一部分のみを多行表示したい場合には,
28770 のうちのいずれかの環境を使用します.これらは,
28772 挿入\SpecialChar menuseparator
28775 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.
28778 \begin_layout Standard
28783 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,
28784 \begin_inset Formula
28786 \left.\begin{aligned}\Delta x\Delta p & \ge\frac{\hbar}{2}\\
28787 \Delta E\Delta t & \ge\frac{\hbar}{2}
28789 \right\} \textrm{不確定性原理}
28797 \begin_layout Standard
28798 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
28803 \begin_inset Index idx
28806 \begin_layout Plain Layout
28816 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
28820 \begin_layout Standard
28821 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
28822 に配置できる利点があります.以下に例として,
28823 \begin_inset CommandInset ref
28825 reference "eq:shortlong"
28829 式にaligned環境を適用したものを示します.
28830 \begin_inset Formula
28832 \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}|}\\
28833 & -\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}|}
28842 \begin_layout Standard
28862 \begin_inset Index idx
28865 \begin_layout Plain Layout
28880 \begin_inset Index idx
28883 \begin_layout Plain Layout
28898 \begin_inset Index idx
28901 \begin_layout Plain Layout
28909 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.
28912 \begin_layout Subsection
28914 \begin_inset CommandInset label
28916 name "subsec:多行数式中のテキスト"
28921 \begin_inset Index idx
28924 \begin_layout Plain Layout
28925 てきすと @ テキスト ! すうしきちゅうの @ 数式中の
28931 \begin_inset Index idx
28934 \begin_layout Plain Layout
28935 すうしき @ 数式 ! たぎょう @ 多行
28936 \begin_inset space \thinspace{}
28947 \begin_layout Standard
28948 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
28956 \begin_inset Index idx
28959 \begin_layout Plain Layout
28970 \begin_layout Standard
28978 \begin_layout Standard
28979 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
28986 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,
28992 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.
28993 \begin_inset Formula
28995 I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
28996 \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
29004 \begin_layout Standard
29011 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
29020 \begin_inset Index idx
29023 \begin_layout Plain Layout
29024 ぱっけーじ@パッケージ ! mathtools
29033 に設定してください.そうすると,以下のように,
29046 \begin_inset Index idx
29049 \begin_layout Plain Layout
29058 \begin_inset Formula
29060 I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
29061 \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
29069 \begin_layout Section
29071 \begin_inset Index idx
29074 \begin_layout Plain Layout
29081 \begin_inset Index idx
29084 \begin_layout Plain Layout
29089 \begin_layout Plain Layout
29100 \begin_layout Plain Layout
29115 \begin_layout Subsection
29119 \begin_layout Standard
29122 挿入\SpecialChar menuseparator
29123 数式\SpecialChar menuseparator
29127 \begin_inset Flex Ruby
29130 \begin_layout Plain Layout
29132 \begin_inset Argument post:1
29135 \begin_layout Plain Layout
29149 \begin_inset space ~
29154 )で作ることができます.既存の数式に番号を振るには,
29156 編集\SpecialChar menuseparator
29157 数式\SpecialChar menuseparator
29163 arg "math-number-toggle"
29166 )を使います.\SpecialChar LyX
29167 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.
29170 \begin_layout Standard
29171 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,
29173 編集\SpecialChar menuseparator
29174 数式\SpecialChar menuseparator
29180 arg "math-number-line-toggle"
29183 )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.
29186 \begin_layout Standard
29187 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
29188 \begin_inset CommandInset ref
29190 reference "sec:数式様式"
29197 \begin_layout Subsection
29199 \begin_inset Index idx
29202 \begin_layout Plain Layout
29203 そうごさんしょう@相互参照 ! すうしきへの@数式への
29211 \begin_layout Standard
29212 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,
29214 挿入\SpecialChar menuseparator
29223 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
29227 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
29228 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,
29230 挿入\SpecialChar menuseparator
29236 \begin_layout Standard
29238 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.
29241 \begin_layout Standard
29244 挿入\SpecialChar menuseparator
29250 arg "dialog-show-new-inset ref"
29253 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「
29257 」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.
29258 \begin_inset Newline newline
29262 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.
29265 \begin_layout Standard
29266 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.
29267 \begin_inset Note Note
29270 \begin_layout Plain Layout
29271 相互参照の型の違いに留意してください.
29279 \begin_layout Standard
29280 \begin_inset CommandInset ref
29287 \begin_inset CommandInset ref
29294 \begin_inset CommandInset ref
29301 \begin_inset CommandInset ref
29307 )式では,付番にラテン数字を使用しています.
29310 \begin_layout Standard
29311 \begin_inset VSpace medskip
29322 \begin_layout Plain Layout
29330 \begin_inset CommandInset ref
29332 reference "subsec:自己定義番号"
29344 \begin_inset CommandInset ref
29346 reference "subsec:段落ボックス"
29350 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.
29353 \begin_layout Subsection
29355 \begin_inset Index idx
29358 \begin_layout Plain Layout
29359 すうしきばんごう@数式番号 ! さいもくばんごう@細目番号
29367 \begin_layout Standard
29370 Formulas can be numbered as subequations.
29371 To activate this feature, add the module
29375 to the document in the menu
29377 Document\SpecialChar menuseparator
29378 Settings\SpecialChar menuseparator
29382 To insert subequations use the menu
29384 Insert\SpecialChar menuseparator
29385 Custom Insets\SpecialChar menuseparator
29391 \begin_layout Standard
29394 The equations to be subnumbered are put into the
29401 \begin_inset Formula
29409 \begin_inset VSpace -5mm
29413 \begin_inset Flex Subequations
29416 \begin_layout Plain Layout
29417 \begin_inset Formula
29425 \begin_inset Formula
29440 \begin_layout Standard
29443 Every formula in the
29447 inset will be subnumbered with
29449 a・b・c\SpecialChar ldots
29453 \begin_layout Standard
29455 \begin_inset CommandInset ref
29462 \begin_inset CommandInset ref
29470 If you want to reference the subequations collectively, insert a label as
29478 \begin_inset CommandInset ref
29487 \begin_layout Standard
29490 By inserting subequations vertical space is added before it
29493 \begin_inset space \thinspace{}
29498 vertical space right before the
29510 \begin_layout Plain Layout
29512 \begin_inset CommandInset ref
29514 reference "sec:数式様式"
29526 \begin_inset space \thinspace{}
29532 \begin_layout Standard
29535 To get another subnumber instead of small Latin letters, insert this command
29536 as \SpecialChar TeX
29537 code before the equations in the
29544 \begin_layout Standard
29553 theparentequation -
29558 \begin_layout Standard
29561 theparentequationは親番号を生成し,
29563 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
29564 \begin_inset CommandInset ref
29566 reference "subsec:ローマ数字や文字を使った付番"
29573 \begin_layout Standard
29574 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.
29575 \begin_inset Flex Subequations
29578 \begin_layout Plain Layout
29579 \begin_inset CommandInset label
29589 \begin_layout Plain Layout
29597 theparentequation -
29605 \begin_inset Formula
29607 A & = & (B-Z)^{2}=(B-Z)(B-Z)\\
29608 & = & B^{2}-ZB-BZ+Z^{2}\nonumber \\
29609 & = & B^{2}-2BZ+Z^{2}
29622 \begin_layout Subsection
29624 \begin_inset CommandInset label
29626 name "subsec:ローマ数字や文字を使った付番"
29631 \begin_inset Index idx
29634 \begin_layout Plain Layout
29635 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
29641 \begin_inset Index idx
29644 \begin_layout Plain Layout
29645 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
29653 \begin_layout Standard
29654 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
29658 \begin_layout Standard
29670 \begin_layout Standard
29678 \begin_inset Index idx
29681 \begin_layout Plain Layout
29705 \begin_layout Plain Layout
29713 \begin_inset CommandInset ref
29715 reference "subsec:newcommandコマンド"
29740 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
29752 \begin_inset Index idx
29755 \begin_layout Plain Layout
29765 は,カウンタを小文字のローマ数字として出力します.
29768 \begin_layout Standard
29779 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
29792 \begin_inset Index idx
29795 \begin_layout Plain Layout
29805 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,
29812 \begin_inset Index idx
29815 \begin_layout Plain Layout
29823 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,
29830 \begin_inset Index idx
29833 \begin_layout Plain Layout
29846 \begin_layout Standard
29847 \begin_inset Note Greyedout
29850 \begin_layout Plain Layout
29855 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.
29861 \begin_inset Newpage newpage
29867 \begin_layout Standard
29871 \begin_layout Plain Layout
29887 \begin_layout Standard
29888 \begin_inset Formula
29890 A=\textrm{小文字ローマ数字}
29899 \begin_layout Plain Layout
29913 \begin_inset Formula
29915 B=\textrm{大文字ローマ数字}\label{eq:Rom}
29924 \begin_layout Plain Layout
29938 \begin_inset Formula
29940 C=\textrm{小文字ラテン文字}
29949 \begin_layout Plain Layout
29963 \begin_inset Formula
29965 D=\textrm{大文字ラテン文字}\label{eq:Lat}
29973 \begin_layout Standard
29974 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.
29977 \begin_layout Standard
29987 \begin_inset Index idx
29990 \begin_layout Plain Layout
30001 \begin_layout Standard
30005 \begin_layout Plain Layout
30019 \begin_inset Formula
30029 \begin_layout Standard
30030 \begin_inset VSpace medskip
30033 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
30034 てはなりません.この点に関する説明は,ファイル
30035 \begin_inset CommandInset href
30037 name "Formula-numbering.lyx"
30038 target "run:Formula-numbering.lyx"
30046 \begin_layout Subsection
30048 \begin_inset CommandInset label
30050 name "subsec:自己定義番号"
30055 \begin_inset Index idx
30058 \begin_layout Plain Layout
30059 すうしきばんごう@数式番号 ! じこていぎ@自己定義
30067 \begin_layout Standard
30068 \begin_inset Note Greyedout
30071 \begin_layout Plain Layout
30077 If the document language is a right-to-left language such as Arabic, you
30078 must add this to the to the \SpecialChar LaTeX
30079 -preamble to be able to use the commands described
30083 \begin_inset Newline newline
30091 \begin_inset Newline newline
30095 \begin_inset Phantom HPhantom
30098 \begin_layout Plain Layout
30099 \begin_inset space ~
30125 \begin_layout Standard
30126 \begin_inset Index idx
30129 \begin_layout Plain Layout
30130 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
30135 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
30136 プリアンブルに以下の行を付け加えます.
30139 \begin_layout Standard
30145 \begin_inset Newline newline
30149 \begin_inset Phantom HPhantom
30152 \begin_layout Plain Layout
30153 \begin_inset space ~
30170 \begin_inset Formula $\boldsymbol{|}$
30178 \begin_inset Formula $\boldsymbol{|}$
30186 \begin_inset Note Note
30189 \begin_layout Plain Layout
30190 このマクロは,テスト用に\SpecialChar LaTeX
30191 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.
30199 \begin_layout Standard
30204 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.
30207 \begin_layout Standard
30208 \begin_inset VSpace bigskip
30211 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
30218 \begin_inset Index idx
30221 \begin_layout Plain Layout
30230 \begin_inset Formula
30232 A+B=C\tag{何とかかんとか}\label{eq:tag}
30242 \begin_inset space \textvisiblespace{}
30247 というコマンドを数式に打ち込んでいます.
30250 \begin_layout Standard
30256 \begin_inset space \textvisiblespace{}
30261 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.
30262 \begin_inset Formula
30264 A+B=C\tag*{something}
30272 \begin_layout Standard
30273 \begin_inset VSpace bigskip
30276 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
30277 \begin_inset Newline newline
30284 @addtoreset{equation}{part}
30287 \begin_inset Index idx
30290 \begin_layout Plain Layout
30299 \begin_layout Plain Layout
30310 \begin_layout Plain Layout
30323 \begin_inset Newline newline
30327 \begin_inset Newline newline
30334 @addtoreset{equation}{section}
30335 \begin_inset Newline newline
30343 \begin_layout Standard
30344 これらのコマンドを\SpecialChar TeX
30351 コマンドで「@」字を\SpecialChar LaTeX
30352 中で「有効」にしてやらなくてはなりません.一方,
30358 コマンドはこれを無効にします.したがって,\SpecialChar TeX
30362 \begin_layout Standard
30368 \begin_inset Newline newline
30373 @addtoreset{equation}{section}
30374 \begin_inset Newline newline
30380 \begin_inset Newline newline
30388 \begin_layout Standard
30403 が内部的に自動で挿入するので省略してかまいません.
30406 \begin_layout Standard
30413 を戻すには,まず\SpecialChar LaTeX
30417 \begin_layout Standard
30422 usepackage{remreset}
30425 \begin_layout Standard
30434 \begin_layout Plain Layout
30439 は,\SpecialChar LaTeX
30445 \begin_inset Index idx
30448 \begin_layout Plain Layout
30449 ぱっけーじ@パッケージ ! carlisle
30454 の一部として含まれており,\SpecialChar LaTeX
30461 \begin_inset Index idx
30464 \begin_layout Plain Layout
30465 ぱっけーじ@パッケージ ! remreset
30470 ファイルを読み込んでおかなくてはなりません.その後
30471 \begin_inset Newline newline
30481 \begin_inset Index idx
30484 \begin_layout Plain Layout
30493 \begin_layout Plain Layout
30504 \begin_layout Plain Layout
30531 \begin_layout Standard
30532 \begin_inset VSpace bigskip
30538 \begin_layout Standard
30544 \begin_layout Standard
30545 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.
30548 \begin_layout Standard
30556 \begin_inset Index idx
30559 \begin_layout Plain Layout
30570 \begin_layout Standard
30575 numberwithin{カウンタ}{節階層}
30578 \begin_layout Standard
30579 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.
30582 \begin_layout Standard
30583 したがって,ここでは\SpecialChar LaTeX
30584 プリアンブルか\SpecialChar TeX
30588 \begin_layout Standard
30593 numberwithin{equation}{section}
30596 \begin_layout Standard
30597 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.
30601 \begin_layout Plain Layout
30605 numberwithin{equation}{section}
30611 \begin_inset Formula
30621 \begin_layout Standard
30622 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
30623 \begin_inset Newline newline
30630 numberwithin{table}{part}
30635 \begin_layout Standard
30636 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,
30639 \begin_layout Standard
30649 \begin_inset Index idx
30652 \begin_layout Plain Layout
30666 \begin_layout Plain Layout
30682 \begin_inset Newline newline
30690 \begin_inset Newline newline
30702 \begin_layout Standard
30703 というコマンドを\SpecialChar TeX
30704 コードとして入れるか,\SpecialChar LaTeX
30717 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.
30721 \begin_layout Plain Layout
30728 \begin_layout Plain Layout
30732 @removefromreset{equation}{section}
30735 \begin_layout Plain Layout
30747 \begin_layout Section
30749 \begin_inset CommandInset label
30751 name "subsec:化学記号と化学式"
30756 \begin_inset Index idx
30759 \begin_layout Plain Layout
30760 かがくきごう@化学記号 ! きごう@記号
30766 \begin_inset Index idx
30769 \begin_layout Plain Layout
30776 \begin_inset Index idx
30779 \begin_layout Plain Layout
30788 \begin_layout Standard
30792 \begin_layout Quote
30793 \begin_inset Formula $\mathrm{SO_{4}^{2-}}$
30797 \begin_inset Formula $\mathrm{Na^{+}}$
30801 \begin_inset Formula $\left(\mathrm{Na_{2}SO_{4}}\right)$
30804 を形成します.この化学式は以下のようになります.
30805 \begin_inset Formula
30807 \mathrm{2\,Na^{+}+SO_{4}^{2-}\longrightarrow Na_{2}SO_{4}}\label{eq:chem-reaction}
30815 \begin_layout Standard
30816 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
30817 \begin_inset Flex Ruby
30820 \begin_layout Plain Layout
30822 \begin_inset Argument post:1
30825 \begin_layout Plain Layout
30842 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
30846 \begin_layout Plain Layout
30848 \begin_inset CommandInset ref
30850 reference "subsec:書体様式"
30862 \begin_layout Standard
30863 化学式を組版するのにもう少し便利な方法は,\SpecialChar LaTeX
30869 \begin_inset Index idx
30872 \begin_layout Plain Layout
30873 ぱっけーじ@パッケージ ! mhchem
30878 が導入されているときに使用することができる
30885 \begin_inset Index idx
30888 \begin_layout Plain Layout
30902 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.
30905 \begin_layout Standard
30907 \begin_inset Tabular
30908 <lyxtabular version="3" rows="10" columns="2">
30909 <features booktabs="true" tabularvalignment="middle">
30910 <column alignment="center" valignment="top" width="0pt">
30911 <column alignment="center" valignment="top">
30913 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
30916 \begin_layout Plain Layout
30922 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
30925 \begin_layout Plain Layout
30933 <cell alignment="center" valignment="top" leftline="true" usebox="none">
30936 \begin_layout Plain Layout
30940 \begin_inset space \textvisiblespace{}
30948 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
30951 \begin_layout Plain Layout
30952 \begin_inset Formula $\ce{H2CO3}$
30961 <row topspace="1.5mm">
30962 <cell alignment="center" valignment="top" usebox="none">
30965 \begin_layout Plain Layout
30969 \begin_inset space \textvisiblespace{}
30977 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
30980 \begin_layout Plain Layout
30981 \begin_inset Formula $\ce{SO4^{2-}}$
30990 <row topspace="1.5mm">
30991 <cell alignment="center" valignment="top" usebox="none">
30994 \begin_layout Plain Layout
30998 \begin_inset space \textvisiblespace{}
31006 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
31009 \begin_layout Plain Layout
31010 \begin_inset Formula $\ce{(NH4)2S}$
31019 <row topspace="1.5mm">
31020 <cell alignment="center" valignment="top" usebox="none">
31023 \begin_layout Plain Layout
31027 \begin_inset space \textvisiblespace{}
31035 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
31038 \begin_layout Plain Layout
31039 \begin_inset Formula $\ce{KCr(SO4)2.12H2O}$
31048 <row topspace="1.5mm">
31049 <cell alignment="center" valignment="top" usebox="none">
31052 \begin_layout Plain Layout
31056 \begin_inset space \textvisiblespace{}
31062 \begin_inset space \textvisiblespace{}
31068 \begin_inset space \textvisiblespace{}
31076 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
31079 \begin_layout Plain Layout
31080 \begin_inset Formula $\ce{A-B\dbond C\tbond D}$
31089 <row topspace="1.5mm">
31090 <cell alignment="center" valignment="top" usebox="none">
31093 \begin_layout Plain Layout
31097 \begin_inset space \textvisiblespace{}
31101 \begin_inset Formula $\downarrow$
31105 \begin_inset Formula $\to$
31113 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
31116 \begin_layout Plain Layout
31117 \begin_inset Formula $\ce{_{90}^{227}Th+}$
31127 <cell alignment="center" valignment="top" leftline="true" usebox="none">
31130 \begin_layout Plain Layout
31134 \begin_inset space \textvisiblespace{}
31140 \begin_inset space \textvisiblespace{}
31146 \begin_inset space \textvisiblespace{}
31154 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
31157 \begin_layout Plain Layout
31158 \begin_inset Formula $\ce{\ensuremath{\mu\hyphen}Cl}$
31168 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
31171 \begin_layout Plain Layout
31175 \begin_inset space \textvisiblespace{}
31179 \begin_inset space \textvisiblespace{}
31183 \begin_inset space \textvisiblespace{}
31187 \begin_inset space \textvisiblespace{}
31191 \begin_inset space \textvisiblespace{}
31199 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
31202 \begin_layout Plain Layout
31203 \begin_inset Formula $\ce{CO2 + C <=> 2CO}$
31212 <row topspace="1.5mm">
31213 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
31216 \begin_layout Plain Layout
31220 \begin_inset space \textvisiblespace{}
31224 \begin_inset space \textvisiblespace{}
31228 \begin_inset space \textvisiblespace{}
31232 \begin_inset space \textvisiblespace{}
31240 \begin_inset space \textvisiblespace{}
31248 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
31251 \begin_layout Plain Layout
31252 \begin_inset Formula $\ce{CO2 + C ->[\alpha][\beta] 2CO}$
31268 \begin_layout Standard
31269 \begin_inset Note Greyedout
31272 \begin_layout Plain Layout
31282 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
31289 \begin_inset Formula $\ce{Fe + 2H+ -> Fe^{2+} + H2\negthinspace\uparrow}$
31300 \begin_layout Standard
31308 \begin_inset CommandInset ref
31310 reference "eq:chem-reaction"
31315 \begin_inset Newline newline
31323 \begin_inset space \textvisiblespace{}
31327 \begin_inset space \textvisiblespace{}
31331 \begin_inset space \textvisiblespace{}
31335 \begin_inset space \textvisiblespace{}
31339 \begin_inset space \textvisiblespace{}
31343 \begin_inset space \textvisiblespace{}
31347 \begin_inset Newline newline
31355 \begin_layout Standard
31357 \begin_inset CommandInset ref
31359 reference "sec:多行数式"
31363 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
31370 \begin_inset CommandInset ref
31372 reference "eq:TEOS-reaction-1"
31377 \begin_inset CommandInset ref
31379 reference "eq:TEOS-reaction-2"
31383 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.
31384 \begin_inset Formula
31386 \ce{TEOS + 4O} & \ce{->} & \ce{Si(OH)4 + 4C2H4O}\label{eq:TEOS-reaction-1}\\
31387 \ce{Si(OH)4} & \ce{->} & \ce{SiO2 + 2H2O}\label{eq:TEOS-reaction-2}
31395 \begin_layout Standard
31413 \begin_inset Index idx
31416 \begin_layout Plain Layout
31435 \begin_inset CommandInset citation
31445 \begin_layout Section
31449 \begin_layout Standard
31459 をサポートしており,以下でこれらの説明をします.
31462 \begin_layout Subsection
31464 \begin_inset Index idx
31467 \begin_layout Plain Layout
31476 \begin_layout Standard
31477 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.
31478 \begin_inset Formula
31480 \begin{CD}A@>>>B@>>>C\\
31491 \begin_layout Standard
31497 \begin_inset Index idx
31500 \begin_layout Plain Layout
31510 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.
31513 arg "newline-insert newline"
31516 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.
31519 \begin_layout Standard
31520 関係を作るには,以下のコマンドがあります.
31523 \begin_layout Itemize
31524 \begin_inset Formula $\boldsymbol{@<<<}$
31528 \begin_inset Formula $\boldsymbol{@>>>}$
31538 \begin_layout Itemize
31548 \begin_inset Formula $\boldsymbol{@|}$
31554 \begin_layout Itemize
31562 \begin_layout Standard
31563 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.
31566 \begin_layout Itemize
31568 \begin_inset Formula $<$
31572 \begin_inset Formula $>$
31575 」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「
31576 \begin_inset Formula $<$
31580 \begin_inset Formula $>$
31583 」のあいだに入れると,矢印の下に表示されます.
31586 \begin_layout Itemize
31587 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
31588 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
31592 \begin_layout Standard
31593 以下は,上記のすべての関係を使った例です.
31596 \begin_layout Standard
31597 \begin_inset Formula
31599 \begin{CD}A@>j>>B@>>k>C@=F\\
31610 \begin_layout Standard
31611 これを作るコマンドは,以下のとおりです.
31612 \begin_inset Newline newline
31620 \begin_inset space \textvisiblespace{}
31624 \begin_inset Formula $\boldsymbol{@>}$
31628 \begin_inset Formula $\boldsymbol{>>}$
31632 \begin_inset Formula $\boldsymbol{@>>}$
31636 \begin_inset Formula $\boldsymbol{>}$
31640 \begin_inset Newline newline
31644 \begin_inset Phantom HPhantom
31647 \begin_layout Plain Layout
31653 \begin_inset space \textvisiblespace{}
31666 \begin_inset Formula $\to$
31672 \begin_inset Formula $\boldsymbol{@|}$
31676 \begin_inset Newline newline
31680 \begin_inset Phantom HPhantom
31683 \begin_layout Plain Layout
31689 \begin_inset space \textvisiblespace{}
31698 \begin_inset Formula $\boldsymbol{@<<}$
31702 \begin_inset Formula $\boldsymbol{<}$
31706 \begin_inset Formula $\boldsymbol{@>}$
31710 \begin_inset Formula $\boldsymbol{>>}$
31716 \begin_layout Subsection
31718 \begin_inset Index idx
31721 \begin_layout Plain Layout
31730 \begin_layout Standard
31731 xymatricesを使うには,\SpecialChar LaTeX
31736 が導入済みである必要があります.xymatrixは,数式中に
31742 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
31743 \begin_inset CommandInset ref
31752 \begin_layout Standard
31753 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,
31755 ヘルプ\SpecialChar menuseparator
31756 用途別説明書\SpecialChar menuseparator
31766 \begin_layout Subsection
31770 \begin_inset Index idx
31773 \begin_layout Plain Layout
31782 \begin_layout Standard
31783 ファインマン図を使うには,\SpecialChar LaTeX
31788 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
31794 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
31795 \begin_inset CommandInset ref
31804 \begin_layout Standard
31806 でのファインマン図の作り方は,メニュー
31808 ヘルプ\SpecialChar menuseparator
31818 \begin_layout Section
31820 \begin_inset Index idx
31823 \begin_layout Plain Layout
31832 \begin_layout Standard
31833 \begin_inset Note Greyedout
31836 \begin_layout Plain Layout
31837 【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.
31845 \begin_layout Subsection
31849 \begin_inset CommandInset label
31851 name "subsec:newcommandコマンド"
31856 \begin_inset Index idx
31859 \begin_layout Plain Layout
31860 じこていぎこまんど@自己定義コマンド !
31868 \begin_inset Index idx
31871 \begin_layout Plain Layout
31882 \begin_layout Standard
31883 頻繁に用いるには,長すぎる\SpecialChar LaTeX
31890 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.
31893 \begin_layout Standard
31903 \begin_layout Standard
31908 newcommand{新コマンド名}[引数の数][オプションの値]
31909 \begin_inset Newline newline
31913 \begin_inset Phantom HPhantom
31916 \begin_layout Plain Layout
31929 \begin_layout Standard
31933 \begin_layout Standard
31934 \begin_inset Note Greyedout
31937 \begin_layout Plain Layout
31942 新コマンド名が,使用中の文書や呼び出している\SpecialChar LaTeX
31943 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,
31962 \begin_inset Formula $\le$
31965 」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.
31973 \begin_layout Standard
31975 \begin_inset space \thinspace{}
31979 \begin_inset space \thinspace{}
31982 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
31987 引数は,自動的に非必須の引数になります.
31990 \begin_layout Standard
31994 \begin_layout Itemize
32007 というコマンドを定義するには,\SpecialChar LaTeX
32009 \begin_inset VSpace medskip
32013 \begin_inset Newline newline
32027 \begin_layout Itemize
32040 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.
32041 \begin_inset VSpace medskip
32045 \begin_inset Newline newline
32059 \begin_inset VSpace medskip
32063 \begin_inset Newline newline
32070 」という文字は,引数の入る場所を示し,その後ろの「
32074 」は,これが第1引数の入る場所であることを示します.
32077 \begin_layout Itemize
32091 \begin_inset VSpace medskip
32095 \begin_inset Newline newline
32106 framebox#1#2{$#3$}}
32109 \begin_inset VSpace medskip
32113 \begin_inset Newline newline
32122 が必要とする内部の数式を作り出します.第
32123 \begin_inset CommandInset ref
32125 reference "subsec:枠付きボックス"
32132 \begin_layout Itemize
32139 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.
32140 \begin_inset VSpace medskip
32144 \begin_inset Newline newline
32155 fcolorbox{#2}{#1}{$#3$}}
32158 \begin_inset VSpace medskip
32162 \begin_inset Newline newline
32171 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
32178 \begin_layout Standard
32179 以下は,上で定義したコマンドの動作テストです.
32182 \begin_layout Standard
32184 \begin_inset Tabular
32185 <lyxtabular version="3" rows="6" columns="2">
32186 <features booktabs="true" tabularvalignment="middle">
32187 <column alignment="center" valignment="top" width="0pt">
32188 <column alignment="center" valignment="top">
32190 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
32193 \begin_layout Plain Layout
32199 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
32202 \begin_layout Plain Layout
32210 <cell alignment="center" valignment="top" leftline="true" usebox="none">
32213 \begin_layout Plain Layout
32217 \begin_inset space \textvisiblespace{}
32225 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
32228 \begin_layout Plain Layout
32229 \begin_inset Formula $A\gr B$
32239 <cell alignment="center" valignment="top" leftline="true" usebox="none">
32242 \begin_layout Plain Layout
32250 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
32253 \begin_layout Plain Layout
32254 \begin_inset Formula $\us{ABcd}$
32263 <row topspace="1mm">
32264 <cell alignment="center" valignment="top" usebox="none">
32267 \begin_layout Plain Layout
32271 \begin_inset Formula $\to$
32277 \begin_inset Formula $\to$
32285 \begin_inset space \textvisiblespace{}
32293 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
32296 \begin_layout Plain Layout
32297 \begin_inset Formula $\fb{[2cm]}{}{\int A=B}$
32306 <row topspace="1.5mm">
32307 <cell alignment="center" valignment="top" usebox="none">
32310 \begin_layout Plain Layout
32314 \begin_inset Formula $\to$
32322 \begin_inset space \textvisiblespace{}
32330 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
32333 \begin_layout Plain Layout
32334 \begin_inset Formula $\cb{red}{\int A=B}$
32343 <row topspace="1.5mm" bottomspace="1mm">
32344 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
32347 \begin_layout Plain Layout
32353 \begin_inset Formula $\to$
32361 \begin_inset space \textvisiblespace{}
32369 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
32372 \begin_layout Plain Layout
32373 \begin_inset Formula $\cb[green]{red}{\int A=B}$
32389 \begin_layout Subsection
32391 \begin_inset Index idx
32394 \begin_layout Plain Layout
32395 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
32401 \begin_inset Index idx
32404 \begin_layout Plain Layout
32413 \begin_layout Standard
32414 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
32416 \begin_inset Formula
32418 0=\lambda^{2}+p\lambda+q
32424 \begin_inset Formula
32426 \lambda_{1,2}=-\frac{p}{2}\pm\sqrt{\frac{p²}{4}-q}
32434 \begin_layout Standard
32436 \begin_inset Formula $\lambda$
32440 \begin_inset Formula $p$
32444 \begin_inset Formula $q$
32447 の3つのパラメータを指定することが必須であり,
32448 \begin_inset Formula $\lambda$
32451 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
32453 \begin_inset Newline newline
32469 \begin_inset Newline newline
32473 \begin_inset Phantom HPhantom
32476 \begin_layout Plain Layout
32490 frac{#3^{2}}{4}-#4}}
32493 \begin_layout Standard
32495 \begin_inset Newline newline
32505 \begin_inset Formula $\to$
32511 \begin_inset Formula $\to$
32521 \begin_layout Standard
32522 新コマンドを定義する方法は,たとえば\SpecialChar LaTeX
32529 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
32530 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
32531 あり,それをやってしまうと,\SpecialChar LyX
32532 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
32539 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.
32542 \begin_layout Standard
32545 挿入\SpecialChar menuseparator
32546 数式\SpecialChar menuseparator
32552 arg "math-macro newmacroname_newcommand"
32555 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.
32556 \begin_inset Newline newline
32560 \begin_inset space \hspace*{\fill}
32564 \begin_inset Graphics
32565 filename clipart/macrobox.png
32571 \begin_inset space \hspace*{\fill}
32575 \begin_inset Newline newline
32579 \begin_inset FormulaMacro
32580 \newcommand{\qG}[4][1,\,2]{#2_{#1}=-\frac{#3}{2}\pm\sqrt{\frac{#3^{2}}{4}-#4}}
32585 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,
32597 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
32600 arg "math-macro-add-param"
32603 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
32606 arg "math-macro-add-optional-param"
32609 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
32612 arg "math-macro-make-optional"
32615 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
32616 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
32617 ,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
32618 \begin_inset Newline newline
32648 \begin_inset Newline newline
32653 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
32654 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
32656 \begin_inset Newline newline
32659 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,
32661 表示\SpecialChar menuseparator
32664 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.
32667 \begin_layout Standard
32668 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,
32674 とします.このマクロは,\SpecialChar LyX
32676 \begin_inset Newline newline
32680 \begin_inset space \hspace*{\fill}
32684 \begin_inset Graphics
32685 filename ../clipart/macrouse.png
32691 \begin_inset space \hspace*{\fill}
32695 \begin_inset Newline newline
32699 \begin_inset Formula $x$
32703 \begin_inset Formula $\ln(x)$
32707 \begin_inset Formula $B$
32713 \begin_layout Standard
32714 \begin_inset Formula
32724 \begin_layout Standard
32728 ツール\SpecialChar menuseparator
32729 設定\SpecialChar menuseparator
32730 編集\SpecialChar menuseparator
32733 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
32737 \begin_layout Standard
32738 数式マクロは,文書書き出し時に,内部的に
32744 コマンドに変換されます.こうして生成された
32750 コマンドは,\SpecialChar LaTeX
32751 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.
32754 \begin_layout Standard
32761 コマンドから直接作ることもできます.たとえば,\SpecialChar LyX
32765 \begin_inset Newline newline
32774 xleftarrow[#2]{#1}}
32775 \begin_inset Newline newline
32780 というコマンドを書き入れ,この全体を選択して,
32781 \begin_inset Flex Ruby
32784 \begin_layout Plain Layout
32786 \begin_inset Argument post:1
32789 \begin_layout Plain Layout
32804 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,
32810 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
32814 \begin_layout Standard
32815 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
32816 \begin_inset CommandInset ref
32818 reference "subsec:newcommandコマンド"
32828 は,マクロとしては作ることができません.
32831 \begin_layout Standard
32832 カーソルがマクロ定義ボックスの中にあるとき,\SpecialChar LyX
32833 中に以下のようなマクロツールバーが表示されます.
32836 \begin_layout Standard
32837 \begin_inset VSpace defskip
32843 \begin_layout Standard
32844 \begin_inset Graphics
32845 filename ../clipart/MacroToolbar.png
32850 \begin_inset Index idx
32853 \begin_layout Plain Layout
32854 まくろ@マクロ ! つーるばー@ツールバー
32862 \begin_layout Standard
32863 \begin_inset VSpace defskip
32869 \begin_layout Standard
32870 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.
32873 \begin_layout Standard
32874 \begin_inset VSpace defskip
32880 \begin_layout Standard
32881 \begin_inset Tabular
32882 <lyxtabular version="3" rows="9" columns="2">
32883 <features islongtable="true" longtabularalignment="center">
32884 <column alignment="left" valignment="top">
32885 <column alignment="left" valignment="top" width="85col%">
32886 <row interlinespace="2.5mm">
32887 <cell alignment="center" valignment="top" usebox="none">
32890 \begin_layout Plain Layout
32893 arg "math-macro-remove-param"
32901 <cell alignment="center" valignment="top" usebox="none">
32904 \begin_layout Plain Layout
32907 編集\SpecialChar menuseparator
32908 数式\SpecialChar menuseparator
32909 マクロ定義\SpecialChar menuseparator
32916 <row interlinespace="2.5mm">
32917 <cell alignment="center" valignment="top" usebox="none">
32920 \begin_layout Plain Layout
32923 arg "math-macro-add-param"
32931 <cell alignment="center" valignment="top" usebox="none">
32934 \begin_layout Plain Layout
32937 編集\SpecialChar menuseparator
32938 数式\SpecialChar menuseparator
32939 マクロ定義\SpecialChar menuseparator
32946 <row interlinespace="2.5mm">
32947 <cell alignment="center" valignment="top" usebox="none">
32950 \begin_layout Plain Layout
32953 arg "math-macro-make-optional"
32961 <cell alignment="center" valignment="top" usebox="none">
32964 \begin_layout Plain Layout
32967 編集\SpecialChar menuseparator
32968 数式\SpecialChar menuseparator
32969 マクロ定義\SpecialChar menuseparator
32971 \begin_inset Newline newline
32975 \begin_inset Phantom HPhantom
32978 \begin_layout Plain Layout
32981 編集\SpecialChar menuseparator
32982 数式\SpecialChar menuseparator
32983 マクロ定義\SpecialChar menuseparator
32995 <row interlinespace="2.5mm">
32996 <cell alignment="center" valignment="top" usebox="none">
32999 \begin_layout Plain Layout
33002 arg "math-macro-make-nonoptional"
33010 <cell alignment="center" valignment="top" usebox="none">
33013 \begin_layout Plain Layout
33016 編集\SpecialChar menuseparator
33017 数式\SpecialChar menuseparator
33018 マクロ定義\SpecialChar menuseparator
33020 \begin_inset Newline newline
33024 \begin_inset Phantom HPhantom
33027 \begin_layout Plain Layout
33030 編集\SpecialChar menuseparator
33031 数式\SpecialChar menuseparator
33032 マクロ定義\SpecialChar menuseparator
33044 <row interlinespace="2.5mm">
33045 <cell alignment="center" valignment="top" usebox="none">
33048 \begin_layout Plain Layout
33051 arg "math-macro-remove-optional-param"
33059 <cell alignment="center" valignment="top" usebox="none">
33062 \begin_layout Plain Layout
33065 編集\SpecialChar menuseparator
33066 数式\SpecialChar menuseparator
33067 マクロ定義\SpecialChar menuseparator
33074 <row interlinespace="2.5mm">
33075 <cell alignment="center" valignment="top" usebox="none">
33078 \begin_layout Plain Layout
33081 arg "math-macro-add-optional-param"
33089 <cell alignment="center" valignment="top" usebox="none">
33092 \begin_layout Plain Layout
33095 編集\SpecialChar menuseparator
33096 数式\SpecialChar menuseparator
33097 マクロ定義\SpecialChar menuseparator
33104 <row interlinespace="2.5mm">
33105 <cell alignment="center" valignment="top" usebox="none">
33108 \begin_layout Plain Layout
33111 arg "math-macro-remove-greedy-param"
33119 <cell alignment="center" valignment="top" usebox="none">
33122 \begin_layout Plain Layout
33125 編集\SpecialChar menuseparator
33126 数式\SpecialChar menuseparator
33127 マクロ定義\SpecialChar menuseparator
33129 \begin_inset Newline newline
33133 \begin_inset Phantom HPhantom
33136 \begin_layout Plain Layout
33139 編集\SpecialChar menuseparator
33140 数式\SpecialChar menuseparator
33141 マクロ定義\SpecialChar menuseparator
33153 <row interlinespace="2.5mm">
33154 <cell alignment="center" valignment="top" usebox="none">
33157 \begin_layout Plain Layout
33160 arg "math-macro-append-greedy-param"
33168 <cell alignment="center" valignment="top" usebox="none">
33171 \begin_layout Plain Layout
33174 編集\SpecialChar menuseparator
33175 数式\SpecialChar menuseparator
33176 マクロ定義\SpecialChar menuseparator
33178 \begin_inset Newline newline
33182 \begin_inset Phantom HPhantom
33185 \begin_layout Plain Layout
33188 編集\SpecialChar menuseparator
33189 数式\SpecialChar menuseparator
33190 マクロ定義\SpecialChar menuseparator
33202 <row interlinespace="2.5mm">
33203 <cell alignment="center" valignment="top" usebox="none">
33206 \begin_layout Plain Layout
33209 arg "math-macro-add-greedy-optional-param"
33217 <cell alignment="center" valignment="top" usebox="none">
33220 \begin_layout Plain Layout
33223 編集\SpecialChar menuseparator
33224 数式\SpecialChar menuseparator
33225 マクロ定義\SpecialChar menuseparator
33227 \begin_inset Newline newline
33231 \begin_inset Phantom HPhantom
33234 \begin_layout Plain Layout
33237 編集\SpecialChar menuseparator
33238 数式\SpecialChar menuseparator
33239 マクロ定義\SpecialChar menuseparator
33258 \begin_layout Section
33262 \begin_layout Standard
33264 では,\SpecialChar LyX
33265 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,
33281 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.
33284 \begin_layout Subsection
33288 \begin_layout Standard
33291 編集\SpecialChar menuseparator
33292 数式\SpecialChar menuseparator
33295 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.
33298 \begin_layout Standard
33299 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
33306 \begin_layout Itemize
33307 \begin_inset Formula $\frac{37}{3}*2-\sum_{i=1}^{3}i^{i}=-\frac{22}{3}$
33313 \begin_layout Itemize
33314 \begin_inset Formula $\frac{37.0}{3}=12.33333333333333$
33320 \begin_layout Itemize
33321 \begin_inset Formula $\int_{1}^{2}\sin(x)dx=\cos1-\cos2$
33327 \begin_layout Itemize
33328 \begin_inset Formula $\int\left(\frac{1}{1+x^{3}}\right)dx=-\frac{\log\left(x^{2}-x+1\right)}{6}+\frac{\arctan\left(\frac{2\,x-1}{\sqrt{3}}\right)}{\sqrt{3}}+\frac{\log\left(x+1\right)}{3}$
33332 \begin_inset Newline newline
33336 \begin_inset Note Greyedout
33339 \begin_layout Plain Layout
33344 単純な「(」「)」文字ではなく,適切な区切り差込枠
33345 \begin_inset Formula $\left(\right)$
33356 \begin_layout Itemize
33357 \begin_inset Formula $\det\left[\begin{array}{ccc}
33361 \end{array}\right]=-56$
33367 \begin_layout Itemize
33368 \begin_inset Formula $\lim_{x\rightarrow0}\left(\frac{\sin(x)}{x}\right)=1$
33374 \begin_layout Itemize
33375 \begin_inset Formula $powerseries\left(-\log\left(5-x\right),x,1\right)=\sum_{{\mathit{i}_{2}}=0}^{\infty}{\frac{4^{-{\mathit{i}_{2}}-1}\,\left(x-1\right)^{{\mathit{i}_{2}}+1}}{{\mathit{i}_{2}}+1}}-\log4$
33381 \begin_layout Itemize
33382 \begin_inset Formula $solve\left(x_{1}+y_{1}^{3}=y_{1}+x_{1}^{2},x_{1}\right)=\left[x_{1}=-\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}-1}{2},x_{1}=\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}+1}{2}\right]$
33388 \begin_layout Subsection
33392 \begin_layout Standard
33393 現在のところ,代数プログラムを呼び出すための
33394 \begin_inset Flex Ruby
33397 \begin_layout Plain Layout
33399 \begin_inset Argument post:1
33402 \begin_layout Plain Layout
33418 関数にバインドすることは容易です(取扱説明書『
33430 \begin_inset Flex Ruby
33433 \begin_layout Plain Layout
33435 \begin_inset Argument post:1
33438 \begin_layout Plain Layout
33449 をバインドさせることもできます.それを
33453 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.
33456 \begin_layout Standard
33459 command-alternatives paragraph-break;math-extern maxima
33462 \begin_layout Section
33464 \begin_inset Index idx
33467 \begin_layout Plain Layout
33476 \begin_layout Subsection
33478 \begin_inset Index idx
33481 \begin_layout Plain Layout
33490 \begin_layout Standard
33491 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
33495 \begin_layout Standard
33496 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.
33499 \begin_layout Standard
33503 \begin_layout Standard
33505 \begin_inset Tabular
33506 <lyxtabular version="3" rows="3" columns="2">
33507 <features booktabs="true" tabularvalignment="middle">
33508 <column alignment="right" valignment="top" width="0pt">
33509 <column alignment="left" valignment="top">
33511 <cell alignment="right" valignment="top" topline="true" leftline="true" usebox="none">
33514 \begin_layout Plain Layout
33520 <cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
33523 \begin_layout Plain Layout
33531 <cell alignment="right" valignment="top" leftline="true" usebox="none">
33534 \begin_layout Plain Layout
33540 <cell alignment="center" valignment="top" rightline="true" usebox="none">
33543 \begin_layout Plain Layout
33544 \begin_inset Formula $x=-2$
33554 <cell alignment="right" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
33557 \begin_layout Plain Layout
33563 <cell alignment="center" valignment="top" topline="true" bottomline="true" rightline="true" usebox="none">
33566 \begin_layout Plain Layout
33567 \begin_inset Formula $x=\textrm{-}2$
33583 \begin_layout Subsection
33585 \begin_inset Index idx
33588 \begin_layout Plain Layout
33595 \begin_inset Index idx
33598 \begin_layout Plain Layout
33603 \begin_layout Plain Layout
33614 \begin_layout Plain Layout
33629 \begin_layout Standard
33631 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.
33634 \begin_layout Standard
33635 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(
33636 \begin_inset Flex Ruby
33639 \begin_layout Plain Layout
33641 \begin_inset Argument post:1
33644 \begin_layout Plain Layout
33664 \begin_layout Standard
33665 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
33669 \begin_layout Standard
33677 \begin_layout Standard
33686 \begin_layout Plain Layout
33691 は,\SpecialChar LaTeX
33697 \begin_inset Index idx
33700 \begin_layout Plain Layout
33705 \begin_layout Plain Layout
33725 \begin_inset Index idx
33728 \begin_layout Plain Layout
33729 ぱっけーじ@パッケージ ! icomma
33737 \begin_layout Subsection
33739 \begin_inset CommandInset label
33741 name "subsec:物理ベクトル"
33746 \begin_inset Index idx
33749 \begin_layout Plain Layout
33751 \begin_inset space \thinspace{}
33762 \begin_layout Standard
33772 \begin_layout Plain Layout
33777 は標準的\SpecialChar LaTeX
33784 \begin_inset Index idx
33787 \begin_layout Plain Layout
33788 ぱっけーじ@パッケージ ! braket
33793 には,定義済みのベクトルが提供されており,
33796 \begin_layout Standard
33804 \begin_layout Standard
33805 という\SpecialChar LaTeX
33806 プリアンブル行で読み込むことができます.
33809 \begin_layout Standard
33813 \begin_layout Plain Layout
33823 \begin_inset Note Note
33826 \begin_layout Plain Layout
33832 パッケージが導入済みのときのみ表示されます.
33840 \begin_layout Standard
33842 \begin_inset Tabular
33843 <lyxtabular version="3" rows="4" columns="2">
33844 <features booktabs="true" tabularvalignment="middle">
33845 <column alignment="center" valignment="top" width="0pt">
33846 <column alignment="center" valignment="top">
33848 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
33851 \begin_layout Plain Layout
33857 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
33860 \begin_layout Plain Layout
33868 <cell alignment="center" valignment="top" usebox="none">
33871 \begin_layout Plain Layout
33881 <cell alignment="center" valignment="top" usebox="none">
33884 \begin_layout Plain Layout
33885 \begin_inset Formula $\Bra{\psi}$
33895 <cell alignment="center" valignment="top" usebox="none">
33898 \begin_layout Plain Layout
33908 <cell alignment="center" valignment="top" usebox="none">
33911 \begin_layout Plain Layout
33912 \begin_inset Formula $\Ket{\psi}$
33922 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
33925 \begin_layout Plain Layout
33937 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
33940 \begin_layout Plain Layout
33941 \begin_inset Formula $\Braket{\psi|\phi}$
33957 \begin_layout Standard
33964 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.
33965 \begin_inset Formula
33967 \Braket{\phi|J=\frac{3}{2}\,,\,M_{J}}
33976 \begin_layout Plain Layout
33986 \begin_inset Note Note
33989 \begin_layout Plain Layout
33995 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.
34003 \begin_layout Standard
34012 \begin_layout Standard
34016 \begin_layout Plain Layout
34028 \begin_layout Standard
34036 \begin_inset CommandInset ref
34038 reference "subsec:自動の括弧丈"
34048 コマンドを用いることによっても実現できます.
34051 \begin_layout Subsection
34053 \begin_inset CommandInset label
34055 name "subsec:自己定義の分数"
34060 \begin_inset Index idx
34063 \begin_layout Plain Layout
34064 ぶんすう@分数 ! じこていぎの@自己定義の
34072 \begin_layout Standard
34073 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
34080 \begin_inset Index idx
34083 \begin_layout Plain Layout
34094 \begin_layout Standard
34099 genfrac{左括弧}{右括弧}{分数線の厚み}{様式}
34100 \begin_inset Newline newline
34104 \begin_inset Phantom HPhantom
34107 \begin_layout Plain Layout
34120 \begin_layout Standard
34122 \begin_inset space \thinspace{}
34126 \begin_inset space \thinspace{}
34132 \begin_layout Standard
34134 \begin_inset Tabular
34135 <lyxtabular version="3" rows="5" columns="2">
34136 <features booktabs="true" tabularvalignment="middle">
34137 <column alignment="center" valignment="top" width="0pt">
34138 <column alignment="center" valignment="top">
34140 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34143 \begin_layout Plain Layout
34149 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34152 \begin_layout Plain Layout
34160 <cell alignment="center" valignment="top" usebox="none">
34163 \begin_layout Plain Layout
34169 <cell alignment="center" valignment="top" usebox="none">
34172 \begin_layout Plain Layout
34180 <cell alignment="center" valignment="top" usebox="none">
34183 \begin_layout Plain Layout
34189 <cell alignment="center" valignment="top" usebox="none">
34192 \begin_layout Plain Layout
34200 <cell alignment="center" valignment="top" usebox="none">
34203 \begin_layout Plain Layout
34209 <cell alignment="center" valignment="top" usebox="none">
34212 \begin_layout Plain Layout
34220 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
34223 \begin_layout Plain Layout
34229 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
34232 \begin_layout Plain Layout
34246 \begin_layout Standard
34253 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.
34256 \begin_layout Standard
34257 「分数線の厚み」を指定しないときには,既定値である0.4
34258 \begin_inset space \thinspace{}
34264 \begin_layout Standard
34265 \begin_inset VSpace medskip
34269 \begin_inset CommandInset ref
34271 reference "subsec:分数"
34290 \begin_layout Standard
34299 genfrac{}{}{}{0}{#1}{#2}}
34302 \begin_layout Standard
34306 \begin_layout Standard
34315 genfrac{(}{)}{0pt}{1}{#1}{#2}}
34318 \begin_layout Standard
34322 \begin_layout Standard
34323 \begin_inset VSpace medskip
34326 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
34330 \begin_layout Standard
34339 genfrac{}{}{#1}{}{#2}{#3}}
34342 \begin_layout Standard
34346 \begin_layout Standard
34348 \begin_inset Formula
34350 \text{コマンド} & & \mathrm{\backslash fracS[1mm]\backslash\{A\to\backslash\{B} & & \mathrm{\backslash fracS[5mm]\backslash\{A\to\backslash\{B}\\
34351 \text{出力} & & \fracS[1mm]{A}{B} & & \fracS[5mm]{A}{B}
34356 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.
34359 \begin_layout Subsection
34361 \begin_inset Index idx
34364 \begin_layout Plain Layout
34373 \begin_layout Standard
34374 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.
34377 \begin_layout Standard
34382 \begin_layout Plain Layout
34392 \begin_inset Note Note
34395 \begin_layout Plain Layout
34396 下記の表は,\SpecialChar LaTeX
34409 \begin_layout Standard
34411 \begin_inset Tabular
34412 <lyxtabular version="3" rows="5" columns="2">
34413 <features booktabs="true" tabularvalignment="middle">
34414 <column alignment="center" valignment="top" width="0pt">
34415 <column alignment="center" valignment="top">
34417 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34420 \begin_layout Plain Layout
34426 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34429 \begin_layout Plain Layout
34437 <cell alignment="center" valignment="top" usebox="none">
34440 \begin_layout Plain Layout
34444 \begin_inset space \textvisiblespace{}
34450 \begin_inset space \textvisiblespace{}
34458 <cell alignment="center" valignment="top" usebox="none">
34461 \begin_layout Plain Layout
34462 \begin_inset Formula $\cancel{\int A=B}$
34471 <row topspace="1.5mm">
34472 <cell alignment="center" valignment="top" usebox="none">
34475 \begin_layout Plain Layout
34479 \begin_inset space \textvisiblespace{}
34485 \begin_inset space \textvisiblespace{}
34493 <cell alignment="center" valignment="top" usebox="none">
34496 \begin_layout Plain Layout
34497 \begin_inset Formula $\bcancel{\int A=B}$
34506 <row topspace="1.5mm">
34507 <cell alignment="center" valignment="top" usebox="none">
34510 \begin_layout Plain Layout
34514 \begin_inset space \textvisiblespace{}
34520 \begin_inset space \textvisiblespace{}
34528 <cell alignment="center" valignment="top" usebox="none">
34531 \begin_layout Plain Layout
34532 \begin_inset Formula $\xcancel{\int A=B}$
34542 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34545 \begin_layout Plain Layout
34549 \begin_inset space \textvisiblespace{}
34555 \begin_inset space \textvisiblespace{}
34559 \begin_inset Formula $\to$
34567 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34570 \begin_layout Plain Layout
34571 \begin_inset Formula $\cancelto{1}{\int A=B}\hspace{3mm}$
34587 \begin_layout Standard
34594 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.
34595 \begin_inset Formula
34597 \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}}}
34605 \begin_layout Standard
34612 の「下付き文字」寸法の大きさを変えるには,
34615 \begin_layout Standard
34620 PassOptionsToPackage{オプション}{cancel}
34623 \begin_layout Standard
34624 という行を\SpecialChar LaTeX
34625 プリアンブルに書き加えてください.ここで,
34633 にすると,取り消した部分と同じ寸法になり,
34637 にすると,通常よりも少し小さくなります.
34640 \begin_layout Standard
34641 取り消し線に色を付けるには,\SpecialChar TeX
34642 コードで以下のコマンドを書き加えてください.
34645 \begin_layout Standard
34657 \begin_layout Standard
34662 は,お好みの色に変更することができます.
34665 \begin_layout Standard
34669 \begin_layout Plain Layout
34685 \begin_layout Standard
34686 \begin_inset Formula
34688 \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}}}
34696 \begin_layout Standard
34700 \begin_layout Plain Layout
34714 \begin_inset Note Note
34717 \begin_layout Plain Layout
34726 \begin_layout Standard
34732 \begin_inset CommandInset citation
34740 \begin_inset Index idx
34743 \begin_layout Plain Layout
34744 ぱっけーじ@パッケージ ! cancel
34752 \begin_layout Standard
34756 \begin_layout Plain Layout
34766 \begin_inset Note Note
34769 \begin_layout Plain Layout
34770 下記の表は,\SpecialChar LaTeX
34783 \begin_layout Standard
34784 本小節の続きを見るには,\SpecialChar LaTeX
34792 \begin_layout Standard
34796 \begin_layout Plain Layout
34808 \begin_layout Subsection
34810 \begin_inset CommandInset label
34812 name "subsec:節見出し中の数式"
34817 \begin_inset Index idx
34820 \begin_layout Plain Layout
34821 すうしき@数式 ! せつみだしちゅうの@節見出し中の
34829 \begin_layout Standard
34830 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.
34833 \begin_layout Standard
34834 \begin_inset Note Greyedout
34837 \begin_layout Plain Layout
34847 \begin_inset Index idx
34850 \begin_layout Plain Layout
34851 ぱっけーじ@パッケージ ! hyperref
34856 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
34857 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.
34865 \begin_layout Standard
34868 挿入\SpecialChar menuseparator
34871 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
34872 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.
34875 \begin_layout Standard
34876 数式を目次中でも使わなくてもならないが,
34883 \begin_layout Standard
34888 texorpdfstring{部分}{代替文字列}
34889 \begin_inset Index idx
34892 \begin_layout Plain Layout
34903 \begin_layout Standard
34904 というコマンドを\SpecialChar TeX
34908 \begin_layout Standard
34909 「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
34913 \begin_layout Standard
34915 \begin_inset VSpace -3mm
34922 \begin_layout Plain Layout
34934 \begin_layout Subsubsection
34936 \begin_inset Formula $\sqrt{-1}=\mathrm{i}$
34940 \begin_inset Argument 1
34943 \begin_layout Plain Layout
34952 \begin_layout Subsubsection
34957 \begin_layout Plain Layout
34967 \begin_inset Formula $\sqrt{-1}=\mathrm{i}$
34974 \begin_layout Plain Layout
34984 \begin_layout Standard
34988 \begin_layout Plain Layout
34997 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
35006 \begin_layout Standard
35007 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
35015 \begin_layout Plain Layout
35017 \begin_inset CommandInset ref
35019 reference "subsec:ボールド体の数式"
35031 \begin_layout Subsection
35033 \begin_inset Index idx
35036 \begin_layout Plain Layout
35037 すうしき@数式 ! ただんくみぶんちゅうの@多段組文中の
35045 \begin_layout Standard
35046 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,
35054 \begin_layout Plain Layout
35059 は,標準的\SpecialChar LaTeX
35066 \begin_inset Index idx
35069 \begin_layout Plain Layout
35070 ぱっけーじ@パッケージ ! multicol
35079 \begin_layout Standard
35084 usepackage{multicol}
35087 \begin_layout Standard
35088 という\SpecialChar LaTeX
35089 プリアンブル行を書いて読み込むことで,実現できます.
35092 \begin_layout Standard
35093 \begin_inset Note Greyedout
35096 \begin_layout Plain Layout
35099 文書\SpecialChar menuseparator
35122 \begin_layout Standard
35126 \begin_layout Standard
35131 begin{multicols}{段数}
35134 \begin_layout Standard
35135 というコマンドを\SpecialChar TeX
35137 \begin_inset space \thinspace{}
35141 \begin_inset space \thinspace{}
35144 10のあいだの数字です.多段組文の終わる数式の前には,
35147 \begin_layout Standard
35155 \begin_layout Standard
35156 というコマンドを\SpecialChar TeX
35160 \begin_layout Standard
35161 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
35162 \begin_inset space \thinspace{}
35165 mmの垂直空白を入れて下さい.数式様式
35171 \begin_layout Plain Layout
35173 \begin_inset CommandInset ref
35175 reference "sec:数式様式"
35191 \begin_inset space \thinspace{}
35197 \begin_layout Standard
35198 以下は,別行立て数式を含む,多段組文の例です.
35201 \begin_layout Standard
35205 \begin_layout Plain Layout
35209 begin{multicols}{2}
35216 Das Spektrum wird fouriertransformiert.
35217 Die Fouriertransformation wird verwendet, um die überlagerten Signale (Netzwerk
35218 , Lösungsmittel) zu trennen.
35219 Nachdem wir die Phasenverschiebung bestimmen konnten, interessiert uns
35220 nun das Aussehen des Ausgangssignals.
35221 Im Experiment haben wir es mit sehr vielen Teilchen zu tun, so das man
35222 über alle Phasen integrieren muss.
35224 \begin_inset Formula $S$
35227 unser normiertes Ausgangssignal und
35228 \begin_inset Formula $P$
35231 die Phasenverteilungsfunktion, so ergibt sich die Beziehung
35237 \begin_layout Plain Layout
35247 \begin_inset VSpace -6mm
35251 \begin_inset Formula
35253 S(t)=S_{0}(t)\int_{-\infty}^{\infty}P(\phi,t)\mathrm{e}^{\mathrm{i}\phi}\,\mathrm{d}\phi
35262 \begin_layout Plain Layout
35266 begin{multicols}{2}
35274 \begin_inset Formula $S_{0}$
35277 das Signal ohne Gradient ist und die Normierungsbedingung
35278 \begin_inset Formula $\int_{-\infty}^{\infty}P(\phi,t)\,\mathrm{d}\phi=1$
35282 Nun dürfen wir aber nicht den Relaxationsprozess außer Acht lassen.
35284 \begin_inset Formula $\nicefrac{\pi}{2}$
35288 \begin_inset space \thinspace{}
35291 -rf-Puls beginnt sich die Magnetisierung zu entfokussieren, wodurch sich
35292 das Signal zusätzlich abschwächt.
35293 Diese Abschwächung verläuft exponentiell in Abhängigkeit der so genannten
35295 \begin_inset Formula $T_{2}$
35301 \begin_layout Standard
35305 \begin_layout Plain Layout
35317 \begin_layout Subsection
35319 \begin_inset Index idx
35322 \begin_layout Plain Layout
35323 すうしき@数式 ! へんすうのせつめいつき@変数の説明付き
35331 \begin_layout Standard
35332 \begin_inset CommandInset ref
35334 reference "eq:within"
35338 式のように,数式内で変数の説明をするには,
35339 \begin_inset Formula $n$
35342 個の変数が使われている場合,左寄せの列を持つ
35343 \begin_inset Formula $2\times n$
35350 \begin_layout Plain Layout
35352 \begin_inset CommandInset ref
35363 .説明を小さな文字にするには,行列の前に,たとえば
35373 \begin_layout Plain Layout
35375 \begin_inset CommandInset ref
35377 reference "subsec:書体寸法"
35389 \begin_layout Standard
35396 \begin_layout Plain Layout
35398 \begin_inset CommandInset ref
35400 reference "sec:数式様式"
35411 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
35421 \begin_layout Plain Layout
35433 \begin_inset CommandInset ref
35435 reference "subsec:可変長の空白"
35447 \begin_layout Standard
35452 を使っている場合,数式を字下げするには,第
35453 \begin_inset CommandInset ref
35455 reference "subsec:flalign環境"
35460 \begin_inset CommandInset ref
35462 reference "eq:within"
35466 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
35468 \begin_inset Formula
35470 \hspace{30pt}F_{A} & =\rho·V·g & \footnotesize\begin{array}{ll}
35471 \rho & \textrm{density}\\
35472 V & \textrm{volume}\\
35473 g & \textrm{gravitational acceleration}
35474 \end{array} & & {}\label{eq:within}
35482 \begin_layout Subsection
35484 \begin_inset CommandInset label
35486 name "subsec:アップライト体ギリシャ小文字"
35491 \begin_inset Index idx
35494 \begin_layout Plain Layout
35495 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
35503 \begin_layout Standard
35504 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,
35505 \begin_inset Formula $\pi$
35508 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.
35516 \begin_layout Plain Layout
35526 \begin_inset Index idx
35529 \begin_layout Plain Layout
35534 \begin_layout Plain Layout
35555 \begin_inset Index idx
35558 \begin_layout Plain Layout
35559 ぱっけーじ@パッケージ ! upgreek
35567 \begin_layout Standard
35572 usepackage{upgreek}
35575 \begin_layout Standard
35576 という\SpecialChar LaTeX
35577 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.
35581 \begin_layout Plain Layout
35591 \begin_inset Note Note
35594 \begin_layout Plain Layout
35600 パッケージが導入済みのときのみ表示されます.
35605 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
35609 を付けると作ることができます.たとえば
35616 \begin_inset Formula $\uptau$
35622 \begin_layout Standard
35623 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.
35624 \begin_inset Formula
35626 \uppi^{+}\to\upmu^{+}+\upnu_{\upmu}
35634 \begin_layout Standard
35635 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「
35636 \begin_inset Formula $\mu m$
35639 」のような単位に使うべきではありません.
35642 \begin_layout Standard
35646 \begin_layout Plain Layout
35656 \begin_inset Note Note
35659 \begin_layout Plain Layout
35665 パッケージが導入されていないときのみ表示されます.
35673 \begin_layout Standard
35682 \begin_layout Standard
35686 \begin_layout Plain Layout
35698 \begin_layout Subsection
35700 \begin_inset Index idx
35703 \begin_layout Plain Layout
35704 てきすと @ テキスト ! すうしきちゅうの @ 数式中の
35712 \begin_layout Standard
35713 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
35714 \begin_inset Formula $\nu=5·10^{5}\,\mathrm{Hz}$
35717 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
35727 \begin_layout Plain Layout
35729 \begin_inset CommandInset ref
35731 reference "subsec:二項演算子"
35740 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,
35743 \begin_layout Standard
35748 Declare Inputtext{183}{
35758 f\SpecialChar ligaturebreak
35762 \begin_layout Standard
35763 という\SpecialChar LaTeX
35764 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.
35767 \begin_layout Standard
35770 文書\SpecialChar menuseparator
35771 設定\SpecialChar menuseparator
35775 \begin_inset Flex Ruby
35778 \begin_layout Plain Layout
35780 \begin_inset Argument post:1
35783 \begin_layout Plain Layout
35794 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
35800 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
35801 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
35802 て,正しいコマンドが自動的に選択されます.
35805 \begin_layout Standard
35806 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,
35810 エンコーディングは,\SpecialChar LaTeX
35815 ファイルに定義されています.エンコーディングは,\SpecialChar LaTeX
35816 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
35817 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.
35820 \begin_layout Standard
35821 \begin_inset VSpace medskip
35825 \begin_inset Formula $^{\circ}$
35828 」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
35833 \begin_layout Plain Layout
35834 【訳註】p\SpecialChar LaTeX
35835 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.
35843 \begin_layout Standard
35848 DeclareInputtext{176}{
35858 f\SpecialChar ligaturebreak
35862 \begin_layout Subsection
35863 数式中の\SpecialChar LaTeX
35865 \begin_inset Index idx
35868 \begin_layout Plain Layout
35869 L atexこめんと@\SpecialChar LaTeX
35878 \begin_layout Standard
35879 本文中では,ファイルの\SpecialChar LaTeX
35880 ソースコードでのみ見ることのできるコメントを,
35884 \SpecialChar menuseparator
35889 \SpecialChar menuseparator
35894 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,
35897 \begin_layout Standard
35905 \begin_layout Standard
35906 というコマンドを使えば,\SpecialChar LaTeX
35907 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
35912 \begin_layout Plain Layout
35913 \begin_inset CommandInset href
35915 name "LyX-bug #9002"
35916 target "http://www.lyx.org/trac/ticket/9002"
35926 ,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
35927 出力中に,\SpecialChar LaTeX
35931 \begin_inset Newline newline
35936 下記は,\SpecialChar LaTeX
35938 \begin_inset Formula
35940 A=B%\text{これはコメントです。}
35948 \begin_layout Section
35951 \begin_inset Index idx
35954 \begin_layout Plain Layout
35955 くみばんじょうのじょげん@組版上の助言
35963 \begin_layout Standard
35964 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
35968 \begin_layout Plain Layout
35969 この要約の一部は,ISO規則を取り上げている「Duden」
35970 \begin_inset CommandInset citation
35977 と呼ばれるドイツの半公的辞書から採られています.
35985 \begin_layout Itemize
35986 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
35990 \begin_layout Plain Layout
35992 \begin_inset CommandInset ref
35994 reference "subsec:書体様式"
36004 \begin_inset space \thinspace{}
36008 \begin_inset Newline newline
36011 値と単位の間には,最小空白を入れます.第
36012 \begin_inset CommandInset ref
36014 reference "subsec:定義済みの空白"
36019 \begin_inset Newline newline
36028 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
36030 \begin_inset Formula $\unit[30]{km/h}$
36034 \begin_inset space \thinspace{}
36043 は,\SpecialChar LaTeX
36050 というコマンドです.したがって,これを\SpecialChar TeX
36054 \begin_layout Itemize
36055 百分率記号と千分率記号は,物理単位と同様に組みます:
36056 \begin_inset Newline newline
36060 \begin_inset space \thinspace{}
36066 \begin_layout Itemize
36068 \begin_inset Formula $15^{\circ}$
36071 .しかし,単位として用いられるときは別です:15
36072 \begin_inset space \thinspace{}
36076 \begin_inset Formula $^{\circ}\negmedspace\mbox{C}$
36082 \begin_layout Itemize
36083 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
36084 \begin_inset space \thinspace{}
36088 \begin_inset space \thinspace{}
36094 \begin_layout Itemize
36095 \begin_inset Formula $120\times90\times40$
36099 \begin_inset space \thinspace{}
36103 \begin_inset Formula $\times$
36114 挿入\SpecialChar menuseparator
36115 特殊文字\SpecialChar menuseparator
36121 \begin_layout Itemize
36122 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
36123 \begin_inset CommandInset ref
36125 reference "subsec:定義済み函数"
36132 \begin_layout Itemize
36133 複数の文字を含む指数は,アップライト体にします:
36134 \begin_inset Formula $E_{\mathrm{kin}}$
36138 \begin_inset Newline newline
36142 \begin_inset Formula $\hat{H}_{kl}$
36148 \begin_layout Itemize
36149 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.
36152 \begin_layout Itemize
36162 \begin_inset space \textvisiblespace{}
36168 \begin_inset Index idx
36171 \begin_layout Plain Layout
36181 挿入\SpecialChar menuseparator
36182 特殊文字\SpecialChar menuseparator
36183 記号\SpecialChar menuseparator
36187 \begin_inset Formula $\mathscr{F}$
36193 \begin_layout Standard
36194 \begin_inset Newpage newpage
36200 \begin_layout Section
36202 \begin_inset Index idx
36205 \begin_layout Plain Layout
36214 \begin_layout Standard
36215 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.
36218 \begin_layout Standard
36219 \begin_inset VSpace bigskip
36223 \begin_inset space \hfill{}
36227 \begin_inset Tabular
36228 <lyxtabular version="3" rows="12" columns="2">
36229 <features booktabs="true" tabularvalignment="middle">
36230 <column alignment="center" valignment="top" width="0pt">
36231 <column alignment="center" valignment="top" width="0pt">
36233 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
36236 \begin_layout Plain Layout
36242 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
36245 \begin_layout Plain Layout
36253 <cell alignment="center" valignment="top" usebox="none">
36256 \begin_layout Plain Layout
36264 <cell alignment="center" valignment="top" usebox="none">
36267 \begin_layout Plain Layout
36275 <cell alignment="center" valignment="top" usebox="none">
36278 \begin_layout Plain Layout
36286 <cell alignment="center" valignment="top" usebox="none">
36289 \begin_layout Plain Layout
36299 <cell alignment="center" valignment="top" usebox="none">
36302 \begin_layout Plain Layout
36310 <cell alignment="center" valignment="top" usebox="none">
36313 \begin_layout Plain Layout
36323 <cell alignment="center" valignment="top" usebox="none">
36326 \begin_layout Plain Layout
36334 <cell alignment="center" valignment="top" usebox="none">
36337 \begin_layout Plain Layout
36345 <cell alignment="center" valignment="top" usebox="none">
36348 \begin_layout Plain Layout
36356 <cell alignment="center" valignment="top" usebox="none">
36359 \begin_layout Plain Layout
36367 <cell alignment="center" valignment="top" usebox="none">
36370 \begin_layout Plain Layout
36378 <cell alignment="center" valignment="top" usebox="none">
36381 \begin_layout Plain Layout
36391 <cell alignment="center" valignment="top" usebox="none">
36394 \begin_layout Plain Layout
36402 <cell alignment="center" valignment="top" usebox="none">
36405 \begin_layout Plain Layout
36415 <cell alignment="center" valignment="top" usebox="none">
36418 \begin_layout Plain Layout
36426 <cell alignment="center" valignment="top" usebox="none">
36429 \begin_layout Plain Layout
36439 <cell alignment="center" valignment="top" usebox="none">
36442 \begin_layout Plain Layout
36450 <cell alignment="center" valignment="top" usebox="none">
36453 \begin_layout Plain Layout
36463 <cell alignment="center" valignment="top" usebox="none">
36466 \begin_layout Plain Layout
36474 <cell alignment="center" valignment="top" usebox="none">
36477 \begin_layout Plain Layout
36485 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
36488 \begin_layout Plain Layout
36496 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
36499 \begin_layout Plain Layout
36511 \begin_inset space \hfill{}
36515 \begin_inset Tabular
36516 <lyxtabular version="3" rows="12" columns="2">
36517 <features booktabs="true" tabularvalignment="middle">
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