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}}}}
32 %\addto\extrasenglish{%
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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
92 %\def\tagform@#1{\maketag@@@{|#1|}}
95 % ------------------------------------
96 % used to check for needed LaTeX packages
99 % check for package undertilde
100 % used for the command \utilde
101 \newboolean{undertilde}
102 \IfFileExists{undertilde.sty}
103 {\usepackage{undertilde}
104 \setboolean{undertilde}{true}}
105 {\setboolean{undertilde}{false}}
107 % check for package eurosym
108 % used for the Euro symbol
110 \IfFileExists{eurosym.sty}
111 {\usepackage[gennarrow]{eurosym}
112 \setboolean{eurosym}{true}}
113 {\setboolean{eurosym}{false}}
115 % needed in sec. 22.4
116 % check for package braket
118 \IfFileExists{braket.sty}
120 \setboolean{braket}{true}}
121 {\setboolean{braket}{false}}
123 % check for package cancel
125 \IfFileExists{cancel.sty}
127 \setboolean{cancel}{true}}
128 {\setboolean{cancel}{false}}
130 % needed in sec. 22.10
131 % check for package upgreek
133 \IfFileExists{upgreek.sty}
134 {\usepackage{upgreek}
135 \setboolean{upgreek}{true}}
136 {\setboolean{upgreek}{false}}
138 % make pdf bookmark sane with Japanese
139 \AtBeginDvi{\special{pdf:tounicode EUC-UCS2}}
141 \renewcommand{\seename}{→}
143 \options bibliography=totoc,index=totoc,BCOR7.5mm,titlepage,captions=tableheading,samesize
144 \use_default_options true
148 \maintain_unincluded_children false
150 InsetLayout Flex:Ruby
156 Decoration Conglomerate
159 MenuString "ルビ文(S)|S"
160 Decoration Conglomerate
170 \IfFileExists{okumacro.sty}
171 {\usepackage{okumacro}}
172 {\newcommand{\ruby}[2]{#2}}
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188 \font_sf_scale 100 100
189 \font_tt_scale 100 100
191 \use_dash_ligatures false
193 \default_output_format default
195 \bibtex_command default
196 \index_command default
197 \paperfontsize default
200 \pdf_title "LyX's Math Manual"
201 \pdf_author "LyX Team, Uwe Stohr"
202 \pdf_subject "LyX-documentation about math"
203 \pdf_keywords "LyX, Mathed"
205 \pdf_bookmarksnumbered true
206 \pdf_bookmarksopen true
207 \pdf_bookmarksopenlevel 1
208 \pdf_breaklinks false
212 \pdf_pdfusetitle false
213 \pdf_quoted_options "linkcolor=black, citecolor=black, urlcolor=blue, filecolor=blue, pdfpagelayout=OneColumn, pdfnewwindow=true, pdfstartview=XYZ, plainpages=false"
216 \use_package amsmath 2
217 \use_package amssymb 2
218 \use_package cancel 1
220 \use_package mathdots 1
221 \use_package mathtools 2
222 \use_package mhchem 1
223 \use_package stackrel 1
224 \use_package stmaryrd 1
225 \use_package undertilde 0
227 \cite_engine_type default
231 \paperorientation portrait
236 \notefontcolor #0000ff
247 \paragraph_separation skip
250 \math_numbering_side default
251 \quotes_style english
255 \paperpagestyle plain
256 \tracking_changes false
257 \output_changes false
260 \html_be_strict false
276 \begin_layout Plain Layout
278 コメントや誤りの修正などがございましたら,\SpecialChar LyX
282 \begin_inset CommandInset href
284 name "lyx-docs@lists.lyx.org"
285 target "lyx-docs@lists.lyx.org?subject=LyX's Math manual"
299 \begin_inset Note Note
302 \begin_layout Plain Layout
309 \begin_inset Newline newline
313 \begin_inset Newline newline
321 \begin_layout Standard
322 \begin_inset CommandInset toc
323 LatexCommand tableofcontents
330 \begin_layout Standard
331 \begin_inset Note Note
334 \begin_layout Plain Layout
335 この文書をPDFやPS,DVIに書き出すには,\SpecialChar LaTeX
364 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,
368 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.
371 \begin_layout Plain Layout
373 \begin_inset Newline newline
378 http://wiki.lyx.org/\SpecialChar LyX
380 \begin_inset Newline newline
393 \begin_layout Standard
394 \begin_inset Newpage newpage
400 \begin_layout Section
404 \begin_layout Standard
405 この文書は,\SpecialChar LyX
406 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
407 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
412 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.
415 \begin_layout Standard
416 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,
418 挿入\SpecialChar menuseparator
425 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
426 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.
429 \begin_layout Standard
430 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(
432 文書\SpecialChar menuseparator
433 設定\SpecialChar menuseparator
444 \begin_layout Plain Layout
449 オプションは,\SpecialChar LyX
450 でサポートされている数式要素が見つかったときのみ,
454 \begin_layout Plain Layout
471 \begin_layout Standard
472 説明を明瞭にするために,この文書はすべての
476 \begin_layout Plain Layout
489 \begin_layout Plain Layout
494 \begin_layout Plain Layout
506 \begin_inset CommandInset href
509 target "http://mirrors.ctan.org/macros/amstex/doc/amsguide.pdf"
516 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
525 \begin_layout Section
529 \begin_layout Standard
531 \begin_inset Index idx
534 \begin_layout Plain Layout
535 すうしき @ 数式 ! ぎょうない @ 行内
541 \begin_inset Flex Ruby
544 \begin_layout Plain Layout
546 \begin_inset Argument post:1
549 \begin_layout Plain Layout
566 のうちのいずれか,あるいはツールバーボタン
573 \begin_inset Newline newline
576 大きく別の段落として表示される別行立て数式
577 \begin_inset Index idx
580 \begin_layout Plain Layout
581 すうしき @ 数式 ! べつぎょうだてようしき @ 別行立て様式
595 \begin_layout Standard
596 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
604 編集\SpecialChar menuseparator
605 数式\SpecialChar menuseparator
608 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.
611 \begin_layout Standard
612 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,
617 \begin_inset Index idx
620 \begin_layout Plain Layout
632 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.
635 \begin_layout Standard
636 表の中では,行内数式のみの使用が許されています.
639 \begin_layout Standard
646 表示\SpecialChar menuseparator
649 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,
653 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,
657 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「
661 \begin_layout Standard
664 \begin_inset Index idx
667 \begin_layout Plain Layout
668 T exもーど@\SpecialChar TeX
682 挿入\SpecialChar menuseparator
692 \begin_inset Note Note
695 \begin_layout Plain Layout
697 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
700 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
710 \begin_layout Standard
713 \begin_inset Index idx
716 \begin_layout Plain Layout
717 L atexぷりあんぶる@\SpecialChar LaTeX
725 文書\SpecialChar menuseparator
726 設定\SpecialChar menuseparator
732 \begin_layout Standard
733 行列や場合分け,多行数式を続けて編集するには,
735 編集\SpecialChar menuseparator
740 編集\SpecialChar menuseparator
743 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
744 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.
747 \begin_layout Standard
752 \begin_layout Plain Layout
760 \begin_inset CommandInset ref
762 reference "subsec:多行数式中のテキスト"
776 \begin_inset Index idx
779 \begin_layout Plain Layout
780 てきすと @ テキスト ! すうしきちゅうの @ 数式中の
786 \begin_inset Index idx
789 \begin_layout Plain Layout
808 \begin_inset Index idx
811 \begin_layout Plain Layout
819 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
820 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
821 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.
824 \begin_layout Subsection*
828 \begin_layout Standard
829 数式要素に使われるほとんどの\SpecialChar LaTeX
830 コマンドは,以下のような構成になっています.
833 \begin_layout Standard
841 \begin_layout Standard
848 」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
850 \begin_inset Index idx
853 \begin_layout Plain Layout
854 T exかっこ@\SpecialChar TeX
860 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
861 は自動的に\SpecialChar TeX
868 コマンドを使えば,つねに\SpecialChar TeX
869 括弧を生成することができます.\SpecialChar LyX
870 中で,青字で表示される通常の括弧とは違って,\SpecialChar TeX
871 括弧は赤字で表示されます.\SpecialChar TeX
872 モード中では,\SpecialChar TeX
874 コマンドは必要としません.また,\SpecialChar TeX
878 \begin_layout Standard
879 記号のコマンドのように引数のないコマンドを\SpecialChar TeX
880 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
884 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
888 \begin_layout Standard
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896 \begin_inset Flex Ruby
899 \begin_layout Plain Layout
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918 \begin_layout Subsection*
919 \begin_inset Newpage newpage
925 \begin_layout Itemize
927 \begin_inset space \textvisiblespace{}
933 \begin_layout Itemize
934 \begin_inset Formula $\to$
937 のような矢印は,キーボードから対応する矢印
938 \begin_inset Flex Ruby
941 \begin_layout Plain Layout
943 \begin_inset Argument post:1
946 \begin_layout Plain Layout
960 \begin_layout Subsection*
964 \begin_layout Standard
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972 \begin_layout Plain Layout
974 \begin_inset Caption Standard
976 \begin_layout Plain Layout
977 \begin_inset CommandInset label
991 \begin_layout Plain Layout
994 <lyxtabular version="3" rows="13" columns="2">
995 <features booktabs="true" tabularvalignment="middle">
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1194 \begin_layout Plain Layout
1200 <cell alignment="center" valignment="top" usebox="none">
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1209 \begin_inset Formula $\approx$
1213 \begin_inset Formula $\,$
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1232 <cell alignment="center" valignment="top" usebox="none">
1235 \begin_layout Plain Layout
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1241 \begin_inset Formula $\,$
1251 <cell alignment="center" valignment="top" usebox="none">
1254 \begin_layout Plain Layout
1260 <cell alignment="center" valignment="top" usebox="none">
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1271 <cell alignment="center" valignment="top" usebox="none">
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1305 \begin_inset space \thinspace{}
1309 \begin_inset Formula $\nicefrac{1}{18}$
1313 \begin_inset space \thinspace{}
1334 \begin_layout Standard
1335 \begin_inset Newpage newpage
1341 \begin_layout Section
1345 \begin_layout Subsection
1347 \begin_inset Index idx
1350 \begin_layout Plain Layout
1357 \begin_inset Index idx
1360 \begin_layout Plain Layout
1367 \begin_inset Index idx
1370 \begin_layout Plain Layout
1375 \begin_layout Plain Layout
1386 \begin_layout Plain Layout
1399 \begin_inset Index idx
1402 \begin_layout Plain Layout
1407 \begin_layout Plain Layout
1418 \begin_layout Plain Layout
1433 \begin_layout Standard
1434 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
1437 arg "math-subscript"
1440 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
1443 arg "math-superscript"
1449 \begin_layout Standard
1451 \begin_inset Tabular
1452 <lyxtabular version="3" rows="4" columns="2">
1453 <features booktabs="true" tabularvalignment="middle">
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1455 <column alignment="center" valignment="top" width="0pt">
1457 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
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1466 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
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1477 <cell alignment="center" valignment="top" usebox="none">
1480 \begin_layout Plain Layout
1486 <cell alignment="center" valignment="top" usebox="none">
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1499 <row topspace="1.5mm">
1500 <cell alignment="center" valignment="top" usebox="none">
1503 \begin_layout Plain Layout
1509 <cell alignment="center" valignment="top" usebox="none">
1512 \begin_layout Plain Layout
1513 \begin_inset Formula $B^{V}$
1522 <row topspace="1.5mm">
1523 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
1526 \begin_layout Plain Layout
1528 \begin_inset space \textvisiblespace{}
1536 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
1539 \begin_layout Plain Layout
1540 \begin_inset Formula $B^{A}$
1556 \begin_layout Standard
1557 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
1562 \begin_layout Plain Layout
1563 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.
1568 .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
1575 \begin_layout Subsection
1577 \begin_inset CommandInset label
1584 \begin_inset Index idx
1587 \begin_layout Plain Layout
1596 \begin_layout Standard
1604 \begin_inset Index idx
1607 \begin_layout Plain Layout
1618 arg "math-insert \\frac"
1621 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
1624 arg "math-insert \\frac-square"
1627 を使えば,分数の種類を選ぶことができます.
1630 \begin_layout Standard
1638 \begin_inset Index idx
1641 \begin_layout Plain Layout
1649 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
1656 \begin_inset Index idx
1659 \begin_layout Plain Layout
1667 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.
1670 \begin_layout Standard
1678 \begin_inset Formula $\frac{1}{2}$
1684 \begin_layout Standard
1692 \begin_inset Formula $\dfrac{1}{2}$
1698 \begin_layout Standard
1700 \begin_inset Tabular
1701 <lyxtabular version="3" rows="4" columns="2">
1702 <features booktabs="true" tabularvalignment="middle">
1703 <column alignment="center" valignment="top" width="0pt">
1704 <column alignment="center" valignment="top" width="0pt">
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1709 \begin_layout Plain Layout
1715 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
1718 \begin_layout Plain Layout
1725 <row topspace="1.5mm">
1726 <cell alignment="center" valignment="top" usebox="none">
1729 \begin_layout Plain Layout
1733 \begin_inset space \textvisiblespace{}
1737 \begin_inset Formula $\downarrow$
1745 <cell alignment="center" valignment="top" usebox="none">
1748 \begin_layout Plain Layout
1749 \begin_inset Formula $\frac{A}{B}$
1758 <row topspace="2mm">
1759 <cell alignment="center" valignment="top" usebox="none">
1762 \begin_layout Plain Layout
1766 \begin_inset space \textvisiblespace{}
1770 \begin_inset Formula $\downarrow$
1778 <cell alignment="center" valignment="top" usebox="none">
1781 \begin_layout Plain Layout
1782 \begin_inset Formula $\dfrac{A}{B}$
1791 <row topspace="2mm" bottomspace="1mm">
1792 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
1795 \begin_layout Plain Layout
1799 \begin_inset space \textvisiblespace{}
1805 \begin_inset space \textvisiblespace{}
1809 \begin_inset Formula $\downarrow$
1813 \begin_inset Formula $\downarrow\downarrow$
1821 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
1824 \begin_layout Plain Layout
1825 \begin_inset Formula $\dfrac{e^{\frac{1}{2}}}{3}$
1841 \begin_layout Standard
1842 \begin_inset VSpace bigskip
1846 \begin_inset Newpage newpage
1856 \begin_inset Index idx
1859 \begin_layout Plain Layout
1868 \begin_inset VSpace -3mm
1874 \begin_layout Standard
1875 \begin_inset Formula
1877 \textrm{\textbf{\textbackslash frac}を使用して作成} & & \textrm{\textbf{\textbackslash cfrac}を使用して作成}\\
1878 \frac{A}{B+\frac{C+\frac{E}{F}}{D}} & & \cfrac{A}{B+\cfrac{C+\cfrac{E}{F}}{D}}
1886 \begin_layout Standard
1890 \begin_layout Standard
1899 \begin_layout Plain Layout
1909 \begin_inset Formula $\downarrow$
1918 \begin_layout Plain Layout
1933 \begin_layout Plain Layout
1943 \begin_inset Formula $\downarrow$
1947 \begin_inset Formula $\downarrow$
1953 \begin_layout Standard
1957 \begin_layout Standard
1958 \begin_inset VSpace medskip
1964 \begin_layout Standard
1971 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.
1974 \begin_layout Standard
1975 分子の揃え方は,指定することができます.
1993 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.
1996 \begin_inset Formula
1998 \cfrac[l]{A}{B+C}\,,\,\cfrac{A}{B+C}\,,\,\cfrac[r]{A}{B+C}
2006 \begin_layout Standard
2007 \begin_inset Note Greyedout
2010 \begin_layout Plain Layout
2023 は,生粋の\SpecialChar LaTeX
2030 です.したがって,これらを\SpecialChar TeX
2039 \begin_layout Standard
2040 \begin_inset VSpace medskip
2056 \begin_inset Formula
2058 \cfrac{A}{B+\cfrac{C+\frac{E}{F}}{D}}
2066 \begin_layout Standard
2067 斜めの分数線を持つ行内分数を作るには,コマンド
2074 \begin_inset Index idx
2077 \begin_layout Plain Layout
2086 \begin_inset Formula $\nicefrac{5}{31}$
2096 \begin_inset Index idx
2099 \begin_layout Plain Layout
2108 \begin_inset Formula $\unitfrac{5}{31}$
2112 \begin_inset Formula $\unitfrac[2]{1}{3}$
2124 \begin_layout Standard
2125 \begin_inset Note Greyedout
2128 \begin_layout Plain Layout
2139 は生粋の\SpecialChar LaTeX
2141 \begin_inset Newline newline
2148 unitfrac[自然数]{分子}{分母}
2150 というコマンドなので,\SpecialChar TeX
2159 \begin_layout Standard
2160 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
2161 \begin_inset CommandInset ref
2163 reference "subsec:自己定義の分数"
2170 \begin_layout Standard
2172 \begin_inset CommandInset ref
2174 reference "subsec:多行にわたる分数"
2181 \begin_layout Subsection
2183 \begin_inset Index idx
2186 \begin_layout Plain Layout
2193 \begin_inset Index idx
2196 \begin_layout Plain Layout
2201 \begin_layout Plain Layout
2212 \begin_layout Plain Layout
2227 \begin_layout Standard
2235 \begin_inset Index idx
2238 \begin_layout Plain Layout
2249 arg "math-insert \\sqrt"
2252 で作成することができ,他のすべての根号は,コマンド
2259 \begin_inset Index idx
2262 \begin_layout Plain Layout
2273 arg "math-insert \\root"
2279 \begin_layout Standard
2281 \begin_inset Tabular
2282 <lyxtabular version="3" rows="3" columns="2">
2283 <features booktabs="true" tabularvalignment="middle">
2284 <column alignment="center" valignment="top" width="0pt">
2285 <column alignment="center" valignment="top" width="0pt">
2287 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2290 \begin_layout Plain Layout
2296 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2299 \begin_layout Plain Layout
2306 <row topspace="1mm">
2307 <cell alignment="center" valignment="top" usebox="none">
2310 \begin_layout Plain Layout
2314 \begin_inset space \textvisiblespace{}
2322 <cell alignment="center" valignment="top" usebox="none">
2325 \begin_layout Plain Layout
2326 \begin_inset Formula $\sqrt{A-B}$
2335 <row topspace="1mm">
2336 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2339 \begin_layout Plain Layout
2343 \begin_inset space \textvisiblespace{}
2347 \begin_inset Formula $\downarrow$
2355 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2358 \begin_layout Plain Layout
2359 \begin_inset Formula $\sqrt[3]{A-B}$
2375 \begin_layout Standard
2376 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,
2385 \begin_layout Standard
2386 \begin_inset Formula $\sqrt[\beta]{B}$
2389 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.
2390 \begin_inset Newline newline
2394 \begin_inset Formula $\beta$
2397 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
2404 \begin_inset Index idx
2407 \begin_layout Plain Layout
2422 \begin_inset Index idx
2425 \begin_layout Plain Layout
2436 \begin_layout Standard
2450 \begin_layout Standard
2451 ここで「距離」は,指数を左あるいは上に動かす,Big Point(単位bp;
2452 \begin_inset Formula $\mathrm{72\,bp=1}$
2455 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
2456 \begin_inset Newline newline
2466 \begin_inset Formula $\to$
2472 \begin_inset Formula $\to$
2478 \begin_inset space \textvisiblespace{}
2482 \begin_inset Formula $\to$
2486 \begin_inset Newline newline
2492 \begin_inset Formula $\sqrt[\leftroot{-1}\uproot{2}\beta]{B}$
2498 \begin_layout Subsection
2500 \begin_inset Index idx
2503 \begin_layout Plain Layout
2512 \begin_layout Standard
2520 \begin_inset Index idx
2523 \begin_layout Plain Layout
2534 arg "math-insert \\frac-square"
2537 の小メニューを使って挿入することができます.分数(
2554 \begin_inset Index idx
2557 \begin_layout Plain Layout
2574 \begin_inset Index idx
2577 \begin_layout Plain Layout
2585 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
2592 \begin_inset Index idx
2595 \begin_layout Plain Layout
2610 \begin_inset Index idx
2613 \begin_layout Plain Layout
2624 \begin_layout Standard
2626 \begin_inset Tabular
2627 <lyxtabular version="3" rows="6" columns="2">
2628 <features booktabs="true" tabularvalignment="middle">
2629 <column alignment="center" valignment="top" width="0pt">
2630 <column alignment="center" valignment="top" width="0pt">
2632 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2635 \begin_layout Plain Layout
2641 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2644 \begin_layout Plain Layout
2651 <row topspace="1mm">
2652 <cell alignment="center" valignment="top" usebox="none">
2655 \begin_layout Plain Layout
2659 \begin_inset space \textvisiblespace{}
2663 \begin_inset Formula $\downarrow$
2671 <cell alignment="center" valignment="top" usebox="none">
2674 \begin_layout Plain Layout
2675 \begin_inset Formula $\binom{A}{B}$
2684 <row topspace="2mm">
2685 <cell alignment="center" valignment="top" usebox="none">
2688 \begin_layout Plain Layout
2692 \begin_inset space \textvisiblespace{}
2696 \begin_inset Formula $\downarrow$
2704 <cell alignment="center" valignment="top" usebox="none">
2707 \begin_layout Plain Layout
2708 \begin_inset Formula $\dbinom{A}{B}$
2717 <row topspace="2mm" bottomspace="0.5mm">
2718 <cell alignment="center" valignment="top" usebox="none">
2721 \begin_layout Plain Layout
2725 \begin_inset space \textvisiblespace{}
2729 \begin_inset Formula $\downarrow$
2737 <cell alignment="center" valignment="top" usebox="none">
2740 \begin_layout Plain Layout
2741 \begin_inset Formula $\tbinom{A}{B}$
2750 <row topspace="1mm">
2751 <cell alignment="center" valignment="top" topline="true" usebox="none">
2754 \begin_layout Plain Layout
2758 \begin_inset space \textvisiblespace{}
2762 \begin_inset Formula $\downarrow$
2770 <cell alignment="center" valignment="top" topline="true" usebox="none">
2773 \begin_layout Plain Layout
2774 \begin_inset Formula ${A \brack B}$
2783 <row topspace="2mm" bottomspace="0.5mm">
2784 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2787 \begin_layout Plain Layout
2791 \begin_inset space \textvisiblespace{}
2795 \begin_inset Formula $\downarrow$
2803 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2806 \begin_layout Plain Layout
2807 \begin_inset Formula ${A \brace B}$
2823 \begin_layout Subsection
2825 \begin_inset Index idx
2828 \begin_layout Plain Layout
2837 \begin_layout Standard
2839 \begin_inset Tabular
2840 <lyxtabular version="3" rows="3" columns="2">
2841 <features booktabs="true" tabularvalignment="middle">
2842 <column alignment="center" valignment="top" width="0pt">
2843 <column alignment="center" valignment="top" width="0pt">
2845 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2848 \begin_layout Plain Layout
2854 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2857 \begin_layout Plain Layout
2865 <cell alignment="center" valignment="top" usebox="none">
2868 \begin_layout Plain Layout
2872 \begin_inset space \textvisiblespace{}
2876 \begin_inset Formula $\to$
2880 \begin_inset Formula $>$
2884 \begin_inset Index idx
2887 \begin_layout Plain Layout
2900 <cell alignment="center" valignment="top" usebox="none">
2903 \begin_layout Plain Layout
2904 \begin_inset Formula $\begin{cases}
2914 <row topspace="1.5mm">
2915 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2918 \begin_layout Plain Layout
2922 \begin_inset space \textvisiblespace{}
2928 arg "newline-insert newline"
2936 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2939 \begin_layout Plain Layout
2940 \begin_inset Formula $\begin{cases}
2941 A & \textrm{for }x>0\\
2942 B & \textrm{for }x=0
2959 \begin_layout Standard
2969 arg "math-insert \\cases"
2973 \begin_inset Flex Ruby
2976 \begin_layout Plain Layout
2978 \begin_inset Argument post:1
2981 \begin_layout Plain Layout
2995 arg "newline-insert newline"
3001 arg "tabular-feature append-row"
3004 を使えば,新しい行を作ることができます.
3007 \begin_layout Standard
3016 挿入\SpecialChar menuseparator
3017 数式\SpecialChar menuseparator
3023 \begin_layout Subsection
3025 \begin_inset Index idx
3028 \begin_layout Plain Layout
3037 \begin_layout Standard
3045 \begin_inset Index idx
3048 \begin_layout Plain Layout
3056 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.
3059 \begin_layout Standard
3061 \begin_inset Tabular
3062 <lyxtabular version="3" rows="4" columns="2">
3063 <features booktabs="true" tabularvalignment="middle">
3064 <column alignment="center" valignment="top" width="0pt">
3065 <column alignment="center" valignment="top" width="0pt">
3067 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3070 \begin_layout Plain Layout
3076 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3079 \begin_layout Plain Layout
3087 <cell alignment="center" valignment="top" usebox="none">
3090 \begin_layout Plain Layout
3098 <cell alignment="center" valignment="top" usebox="none">
3101 \begin_layout Plain Layout
3102 \begin_inset Formula $\not=$
3112 <cell alignment="center" valignment="top" usebox="none">
3115 \begin_layout Plain Layout
3125 <cell alignment="center" valignment="top" usebox="none">
3128 \begin_layout Plain Layout
3129 \begin_inset Formula $\not\le$
3139 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3142 \begin_layout Plain Layout
3152 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3155 \begin_layout Plain Layout
3156 \begin_inset Formula $\not\parallel$
3172 \begin_layout Standard
3173 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
3174 \begin_inset CommandInset ref
3176 reference "subsec:数学記号"
3181 \begin_inset CommandInset ref
3190 \begin_layout Subsection
3192 \begin_inset CommandInset label
3199 \begin_inset Index idx
3202 \begin_layout Plain Layout
3209 \begin_inset Index idx
3212 \begin_layout Plain Layout
3213 かがくきごう@化学記号 ! どういたい@同位体
3219 \begin_inset Index idx
3222 \begin_layout Plain Layout
3227 \begin_layout Plain Layout
3238 \begin_layout Plain Layout
3251 \begin_inset Index idx
3254 \begin_layout Plain Layout
3259 \begin_layout Plain Layout
3270 \begin_layout Plain Layout
3285 \begin_layout Standard
3290 \begin_layout Plain Layout
3292 \begin_inset CommandInset ref
3294 reference "subsec:化学記号と化学式"
3303 を表示しようとすると,次のような問題が起こります.
3306 \begin_layout Standard
3308 \begin_inset Tabular
3309 <lyxtabular version="3" rows="2" columns="2">
3310 <features booktabs="true" tabularvalignment="middle">
3311 <column alignment="center" valignment="top" width="0pt">
3312 <column alignment="center" valignment="top" width="0pt">
3314 <cell alignment="center" valignment="top" usebox="none">
3317 \begin_layout Plain Layout
3318 上付き文字と下付き文字を使用して作った指数:
3323 <cell alignment="center" valignment="top" usebox="none">
3326 \begin_layout Plain Layout
3327 \begin_inset Formula $_{9}^{19}\mathrm{F}$
3336 <row topspace="1.5mm">
3337 <cell alignment="center" valignment="top" usebox="none">
3340 \begin_layout Plain Layout
3346 <cell alignment="center" valignment="top" usebox="none">
3349 \begin_layout Plain Layout
3350 \begin_inset Formula $_{\phantom{1}9}^{19}\mathrm{F}$
3366 \begin_layout Standard
3367 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
3374 \begin_inset Index idx
3377 \begin_layout Plain Layout
3389 \begin_layout Plain Layout
3393 arg "math-insert \\space"
3413 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
3414 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,
3420 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.
3423 \begin_layout Standard
3425 \begin_inset Tabular
3426 <lyxtabular version="3" rows="4" columns="2">
3427 <features booktabs="true" tabularvalignment="middle">
3428 <column alignment="center" valignment="top" width="0pt">
3429 <column alignment="center" valignment="top" width="0pt">
3431 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3434 \begin_layout Plain Layout
3440 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3443 \begin_layout Plain Layout
3450 <row topspace="1.5mm">
3451 <cell alignment="center" valignment="top" usebox="none">
3454 \begin_layout Plain Layout
3456 \begin_inset space \textvisiblespace{}
3462 \begin_inset space \textvisiblespace{}
3466 \begin_inset Formula $\to$
3470 \begin_inset space \textvisiblespace{}
3478 <cell alignment="center" valignment="top" usebox="none">
3481 \begin_layout Plain Layout
3482 \begin_inset Formula $_{\phantom{1}9}^{19}\mathrm{F}$
3491 <row topspace="1.5mm" bottomspace="0.5mm">
3492 <cell alignment="center" valignment="top" usebox="none">
3495 \begin_layout Plain Layout
3497 \begin_inset space \textvisiblespace{}
3503 \begin_inset space \textvisiblespace{}
3507 \begin_inset Formula $\to$
3511 \begin_inset space \textvisiblespace{}
3519 <cell alignment="center" valignment="top" usebox="none">
3522 \begin_layout Plain Layout
3523 \begin_inset Formula $_{\phantom{23}9}^{235}\mathrm{F}$
3532 <row topspace="1.5mm" bottomspace="0.5mm">
3533 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3536 \begin_layout Plain Layout
3540 \begin_inset space \textvisiblespace{}
3546 \begin_inset space \textvisiblespace{}
3550 \begin_inset Formula $\to$
3554 \begin_inset space \textvisiblespace{}
3562 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3565 \begin_layout Plain Layout
3566 \begin_inset Formula $\Lambda_{MMt}^{\phantom{ii}t}$
3582 \begin_layout Standard
3590 \begin_inset Index idx
3593 \begin_layout Plain Layout
3602 \begin_inset space ~
3618 \begin_inset Index idx
3621 \begin_layout Plain Layout
3630 \begin_inset space ~
3645 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.
3651 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.
3654 \begin_layout Standard
3662 \begin_inset space \textvisiblespace{}
3675 \begin_layout Plain Layout
3683 \begin_inset CommandInset ref
3685 reference "subsec:大演算子"
3694 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
3695 \begin_inset CommandInset ref
3697 reference "subsec:多行にわたる括弧"
3704 \begin_layout Standard
3707 挿入\SpecialChar menuseparator
3708 整形\SpecialChar menuseparator
3711 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.
3714 \begin_layout Standard
3716 \begin_inset Newline newline
3720 \begin_inset Phantom Phantom
3723 \begin_layout Plain Layout
3732 \begin_layout Subsection
3734 \begin_inset Index idx
3737 \begin_layout Plain Layout
3744 \begin_inset Index idx
3747 \begin_layout Plain Layout
3754 \begin_inset Index idx
3757 \begin_layout Plain Layout
3762 \begin_layout Plain Layout
3773 \begin_layout Plain Layout
3788 \begin_layout Standard
3790 \begin_inset Tabular
3791 <lyxtabular version="3" rows="4" columns="2">
3792 <features booktabs="true" tabularvalignment="middle">
3793 <column alignment="center" valignment="top" width="0pt">
3794 <column alignment="center" valignment="top" width="0pt">
3796 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3799 \begin_layout Plain Layout
3805 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3808 \begin_layout Plain Layout
3815 <row topspace="2mm">
3816 <cell alignment="center" valignment="top" usebox="none">
3819 \begin_layout Plain Layout
3823 \begin_inset space \textvisiblespace{}
3827 \begin_inset Index idx
3830 \begin_layout Plain Layout
3843 <cell alignment="center" valignment="top" usebox="none">
3846 \begin_layout Plain Layout
3847 \begin_inset Formula $\overline{A+B}$
3856 <row bottomspace="1mm">
3857 <cell alignment="center" valignment="top" usebox="none">
3860 \begin_layout Plain Layout
3864 \begin_inset space \textvisiblespace{}
3868 \begin_inset Index idx
3871 \begin_layout Plain Layout
3884 <cell alignment="center" valignment="top" usebox="none">
3887 \begin_layout Plain Layout
3888 \begin_inset Formula $\underline{A+B}$
3897 <row topspace="2mm" bottomspace="1mm">
3898 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3901 \begin_layout Plain Layout
3905 \begin_inset space \textvisiblespace{}
3911 \begin_inset space \textvisiblespace{}
3919 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3922 \begin_layout Plain Layout
3923 \begin_inset Formula $\overline{\underline{A+B}}$
3939 \begin_layout Standard
3955 \begin_layout Standard
3965 \begin_layout Standard
3966 文字の上下6本の線まで引くことができます.
3969 \begin_layout Standard
3970 \begin_inset VSpace bigskip
3980 \begin_inset Index idx
3983 \begin_layout Plain Layout
3994 \begin_layout Standard
3999 rule[垂直オフセット幅]{長さ}{厚み}
4002 \begin_layout Standard
4007 」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
4008 \begin_inset CommandInset ref
4010 reference "tab:使用できる単位"
4014 表に掲げてある単位を用いることができます.以下に,
4015 \begin_inset Newline newline
4022 rule[-2ex]{3cm}{2pt}
4029 \begin_inset Newline newline
4034 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.
4037 \begin_layout Standard
4039 \begin_inset Formula $\rule[-2ex]{3cm}{2pt}\rule{2cm}{1pt}$
4045 \begin_layout Standard
4050 挿入\SpecialChar menuseparator
4051 整形\SpecialChar menuseparator
4054 を使っても,本文に挿入することができます.
4057 \begin_layout Standard
4059 \begin_inset CommandInset line
4070 \begin_layout Subsection
4072 \begin_inset CommandInset label
4079 \begin_inset Index idx
4082 \begin_layout Plain Layout
4091 \begin_layout Standard
4092 省略符号には,いくつかの種類が使用できます
4096 \begin_layout Plain Layout
4100 arg "math-insert \\ldots"
4115 \begin_inset Index idx
4118 \begin_layout Plain Layout
4126 )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(
4133 \begin_inset Index idx
4136 \begin_layout Plain Layout
4151 \begin_inset Index idx
4154 \begin_layout Plain Layout
4162 コマンドを使うと,\SpecialChar LaTeX
4163 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.
4166 \begin_layout Standard
4168 \begin_inset Tabular
4169 <lyxtabular version="3" rows="9" columns="2">
4170 <features booktabs="true" tabularvalignment="middle">
4171 <column alignment="center" valignment="top" width="0pt">
4172 <column alignment="center" valignment="top" width="0pt">
4174 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4177 \begin_layout Plain Layout
4183 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4186 \begin_layout Plain Layout
4194 <cell alignment="center" valignment="top" usebox="none">
4197 \begin_layout Plain Layout
4199 \begin_inset space \textvisiblespace{}
4205 \begin_inset space \textvisiblespace{}
4213 <cell alignment="center" valignment="top" usebox="none">
4216 \begin_layout Plain Layout
4217 \begin_inset Formula $A_{1},\dots,A_{n}$
4227 <cell alignment="center" valignment="top" usebox="none">
4230 \begin_layout Plain Layout
4232 \begin_inset space \textvisiblespace{}
4238 \begin_inset space \textvisiblespace{}
4246 <cell alignment="center" valignment="top" usebox="none">
4249 \begin_layout Plain Layout
4250 \begin_inset Formula $A_{1}+\dots+A_{n}$
4260 <cell alignment="center" valignment="top" usebox="none">
4263 \begin_layout Plain Layout
4265 \begin_inset space \textvisiblespace{}
4271 \begin_inset space \textvisiblespace{}
4279 <cell alignment="center" valignment="top" usebox="none">
4282 \begin_layout Plain Layout
4283 \begin_inset Formula $A_{1},\ldots,A_{n}$
4293 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
4296 \begin_layout Plain Layout
4298 \begin_inset space \textvisiblespace{}
4304 \begin_inset space \textvisiblespace{}
4312 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
4315 \begin_layout Plain Layout
4316 \begin_inset Formula $A_{1}+\cdots+A_{n}$
4326 <cell alignment="center" valignment="top" usebox="none">
4329 \begin_layout Plain Layout
4337 <cell alignment="center" valignment="top" usebox="none">
4340 \begin_layout Plain Layout
4341 \begin_inset Formula $\vdots$
4351 <cell alignment="center" valignment="top" usebox="none">
4354 \begin_layout Plain Layout
4362 <cell alignment="center" valignment="top" usebox="none">
4365 \begin_layout Plain Layout
4366 \begin_inset Formula $\ddots$
4376 <cell alignment="center" valignment="top" usebox="none">
4379 \begin_layout Plain Layout
4387 <cell alignment="center" valignment="top" usebox="none">
4390 \begin_layout Plain Layout
4391 \begin_inset Formula $\iddots$
4401 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4404 \begin_layout Plain Layout
4406 \begin_inset Formula $3\times3$
4414 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4417 \begin_layout Plain Layout
4418 \begin_inset Formula $\begin{array}{ccc}
4419 A_{11} & \cdots & A_{1m}\\
4420 \vdots & \ddots & \vdots\\
4421 A_{n1} & \cdots & A_{nm}
4438 \begin_layout Standard
4441 挿入\SpecialChar menuseparator
4453 \begin_layout Standard
4454 \begin_inset VSpace medskip
4469 mathdotsパッケージを(自動的に)使う
4471 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.
4472 \begin_inset Newline newline
4479 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.
4482 \begin_layout Standard
4483 \begin_inset VSpace medskip
4486 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
4493 \begin_inset Index idx
4496 \begin_layout Plain Layout
4507 \begin_layout Standard
4515 \begin_layout Standard
4516 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.
4519 \begin_layout Standard
4532 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.
4533 \begin_inset Formula
4535 \left(\begin{array}{cccc}
4544 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
4548 \begin_layout Standard
4549 \begin_inset VSpace bigskip
4559 \begin_inset Index idx
4562 \begin_layout Plain Layout
4570 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,
4577 \begin_inset CommandInset ref
4579 reference "subsec:可変長の空白"
4586 \begin_layout Standard
4592 \begin_inset space \textvisiblespace{}
4600 \begin_layout Standard
4601 \begin_inset Formula $A\dotfill B$
4607 \begin_layout Standard
4621 \begin_inset Index idx
4624 \begin_layout Plain Layout
4635 \begin_layout Standard
4636 \begin_inset Formula $A\hrulefill B$
4642 \begin_layout Standard
4643 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
4647 \begin_layout Section
4649 \begin_inset CommandInset label
4656 \begin_inset Index idx
4659 \begin_layout Plain Layout
4668 \begin_layout Standard
4672 arg "dialog-show mathmatrix"
4677 挿入\SpecialChar menuseparator
4678 数式\SpecialChar menuseparator
4681 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.
4684 \begin_layout Standard
4686 \begin_inset Formula $\begin{array}[t]{cccc}
4694 \begin_inset Formula $\begin{array}{cccc}
4702 \begin_inset Formula $\begin{array}[b]{cccc}
4712 \begin_layout Standard
4713 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.
4725 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
4726 \begin_inset Formula $4\times4$
4733 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
4740 \begin_layout Standard
4744 \begin_layout Standard
4750 \begin_inset Formula $\begin{array}{lll}
4762 \begin_inset Formula $\begin{array}{ccc}
4774 \begin_inset Formula $\begin{array}{rrr}
4784 \begin_layout Standard
4785 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
4788 arg "tabular-feature append-row"
4794 arg "tabular-feature delete-row"
4799 編集\SpecialChar menuseparator
4802 メニューを使用することができます.また,行は
4805 arg "newline-insert newline"
4811 \begin_layout Standard
4812 \begin_inset VSpace bigskip
4818 \begin_layout Standard
4823 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,
4830 \begin_inset Index idx
4833 \begin_layout Plain Layout
4848 \begin_inset Index idx
4851 \begin_layout Plain Layout
4860 \begin_inset Flex Ruby
4863 \begin_layout Plain Layout
4865 \begin_inset Argument post:1
4868 \begin_layout Plain Layout
4882 \begin_inset space ~
4888 \begin_inset CommandInset ref
4890 reference "subsec:自動の括弧丈"
4894 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.
4895 \begin_inset VSpace medskip
4901 \begin_layout Standard
4902 \begin_inset space \hfill{}
4906 \begin_inset Tabular
4907 <lyxtabular version="3" rows="4" columns="2">
4908 <features booktabs="true" tabularvalignment="middle">
4909 <column alignment="center" valignment="top" width="0pt">
4910 <column alignment="center" valignment="top">
4912 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4915 \begin_layout Plain Layout
4921 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4924 \begin_layout Plain Layout
4931 <row topspace="1.5mm">
4932 <cell alignment="center" valignment="top" usebox="none">
4935 \begin_layout Plain Layout
4939 \begin_inset space \textvisiblespace{}
4943 \begin_inset Formula $2\times2$
4951 <cell alignment="center" valignment="top" usebox="none">
4954 \begin_layout Plain Layout
4955 \begin_inset Formula $\begin{bmatrix}\begin{array}{cc}
4956 0 & \textrm{-}\mathrm{i}\\
4958 \end{array}\end{bmatrix}$
4967 <row topspace="1.5mm" bottomspace="0.5mm">
4968 <cell alignment="center" valignment="top" usebox="none">
4971 \begin_layout Plain Layout
4975 \begin_inset space \textvisiblespace{}
4979 \begin_inset Formula $2\times2$
4987 <cell alignment="center" valignment="top" usebox="none">
4990 \begin_layout Plain Layout
4991 \begin_inset Formula $\begin{Bmatrix}\begin{array}{cc}
4992 0 & \textrm{-}\mathrm{i}\\
4994 \end{array}\end{Bmatrix}$
5004 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5007 \begin_layout Plain Layout
5011 \begin_inset space \textvisiblespace{}
5015 \begin_inset Formula $2\times2$
5023 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5026 \begin_layout Plain Layout
5027 \begin_inset Formula $\begin{pmatrix}\begin{array}{cc}
5028 0 & \textrm{-}\mathrm{i}\\
5030 \end{array}\end{pmatrix}$
5044 \begin_inset space \hfill{}
5048 \begin_inset Tabular
5049 <lyxtabular version="3" rows="4" columns="2">
5050 <features booktabs="true" tabularvalignment="middle">
5051 <column alignment="center" valignment="top" width="0pt">
5052 <column alignment="center" valignment="top">
5054 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5057 \begin_layout Plain Layout
5063 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5066 \begin_layout Plain Layout
5073 <row topspace="1.5mm">
5074 <cell alignment="center" valignment="top" usebox="none">
5077 \begin_layout Plain Layout
5081 \begin_inset space \textvisiblespace{}
5085 \begin_inset Formula $2\times2$
5093 <cell alignment="center" valignment="top" usebox="none">
5096 \begin_layout Plain Layout
5097 \begin_inset Formula $\begin{vmatrix}\begin{array}{cc}
5098 0 & \textrm{-}\mathrm{i}\\
5100 \end{array}\end{vmatrix}$
5109 <row topspace="1.5mm" bottomspace="0.5mm">
5110 <cell alignment="center" valignment="top" usebox="none">
5113 \begin_layout Plain Layout
5117 \begin_inset space \textvisiblespace{}
5121 \begin_inset Formula $2\times2$
5129 <cell alignment="center" valignment="top" usebox="none">
5132 \begin_layout Plain Layout
5133 \begin_inset Formula $\begin{Vmatrix}\begin{array}{cc}
5134 0 & \textrm{-}\mathrm{i}\\
5136 \end{array}\end{Vmatrix}$
5146 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5149 \begin_layout Plain Layout
5153 \begin_inset space \textvisiblespace{}
5157 \begin_inset Formula $2\times2$
5165 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5168 \begin_layout Plain Layout
5169 \begin_inset Formula $\begin{matrix}\begin{array}{cc}
5170 0 & \textrm{-}\mathrm{i}\\
5172 \end{array}\end{matrix}$
5186 \begin_inset space \hfill{}
5192 \begin_layout Standard
5193 \begin_inset VSpace medskip
5202 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.
5205 \begin_layout Standard
5206 \begin_inset VSpace bigskip
5209 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
5210 \begin_inset CommandInset ref
5212 reference "subsec:列間"
5223 \begin_inset Index idx
5226 \begin_layout Plain Layout
5237 \begin_layout Standard
5245 \begin_inset Index idx
5248 \begin_layout Plain Layout
5256 コマンドを使用します.以下のようにして使用します.
5259 \begin_layout Standard
5267 \begin_inset Index idx
5270 \begin_layout Plain Layout
5281 \begin_layout Standard
5294 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
5304 \begin_layout Standard
5312 \begin_inset Index idx
5315 \begin_layout Plain Layout
5323 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.
5326 \begin_layout Standard
5328 \begin_inset Formula $\left(\begin{smallmatrix}A & B\\
5330 \end{smallmatrix}\right)$
5336 \begin_layout Section
5338 \begin_inset Index idx
5341 \begin_layout Plain Layout
5348 \begin_inset Index idx
5351 \begin_layout Plain Layout
5360 \begin_layout Subsection
5362 \begin_inset Index idx
5365 \begin_layout Plain Layout
5367 \begin_inset space \thinspace{}
5378 \begin_layout Standard
5379 \begin_inset space \hfill{}
5383 \begin_inset Tabular
5384 <lyxtabular version="3" rows="9" columns="2">
5385 <features booktabs="true" tabularvalignment="middle">
5386 <column alignment="center" valignment="top" width="0pt">
5387 <column alignment="center" valignment="top" width="0pt">
5389 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5392 \begin_layout Plain Layout
5398 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5401 \begin_layout Plain Layout
5409 <cell alignment="center" valignment="top" usebox="none">
5412 \begin_layout Plain Layout
5418 <cell alignment="center" valignment="top" usebox="none">
5421 \begin_layout Plain Layout
5422 \begin_inset Formula $($
5432 <cell alignment="center" valignment="top" usebox="none">
5435 \begin_layout Plain Layout
5441 <cell alignment="center" valignment="top" usebox="none">
5444 \begin_layout Plain Layout
5445 \begin_inset Formula $\{$
5455 <cell alignment="center" valignment="top" usebox="none">
5458 \begin_layout Plain Layout
5464 <cell alignment="center" valignment="top" usebox="none">
5467 \begin_layout Plain Layout
5468 \begin_inset Formula $[$
5478 <cell alignment="center" valignment="top" usebox="none">
5481 \begin_layout Plain Layout
5489 <cell alignment="center" valignment="top" usebox="none">
5492 \begin_layout Plain Layout
5493 \begin_inset Formula $\langle$
5503 <cell alignment="center" valignment="top" usebox="none">
5506 \begin_layout Plain Layout
5514 <cell alignment="center" valignment="top" usebox="none">
5517 \begin_layout Plain Layout
5518 \begin_inset Formula $\lceil$
5528 <cell alignment="center" valignment="top" usebox="none">
5531 \begin_layout Plain Layout
5539 <cell alignment="center" valignment="top" usebox="none">
5542 \begin_layout Plain Layout
5543 \begin_inset Formula $\lfloor$
5553 <cell alignment="center" valignment="top" usebox="none">
5556 \begin_layout Plain Layout
5562 <cell alignment="center" valignment="top" usebox="none">
5565 \begin_layout Plain Layout
5566 \begin_inset Formula $/$
5576 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5579 \begin_layout Plain Layout
5585 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5588 \begin_layout Plain Layout
5589 \begin_inset Formula $|$
5603 \begin_inset space \hfill{}
5607 \begin_inset Tabular
5608 <lyxtabular version="3" rows="9" columns="2">
5609 <features booktabs="true" tabularvalignment="middle">
5610 <column alignment="center" valignment="top" width="0pt">
5611 <column alignment="center" valignment="top" width="0pt">
5613 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5616 \begin_layout Plain Layout
5622 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5625 \begin_layout Plain Layout
5633 <cell alignment="center" valignment="top" usebox="none">
5636 \begin_layout Plain Layout
5642 <cell alignment="center" valignment="top" usebox="none">
5645 \begin_layout Plain Layout
5646 \begin_inset Formula $)$
5656 <cell alignment="center" valignment="top" usebox="none">
5659 \begin_layout Plain Layout
5665 <cell alignment="center" valignment="top" usebox="none">
5668 \begin_layout Plain Layout
5669 \begin_inset Formula $\}$
5679 <cell alignment="center" valignment="top" usebox="none">
5682 \begin_layout Plain Layout
5688 <cell alignment="center" valignment="top" usebox="none">
5691 \begin_layout Plain Layout
5692 \begin_inset Formula $]$
5702 <cell alignment="center" valignment="top" usebox="none">
5705 \begin_layout Plain Layout
5713 <cell alignment="center" valignment="top" usebox="none">
5716 \begin_layout Plain Layout
5717 \begin_inset Formula $\rangle$
5727 <cell alignment="center" valignment="top" usebox="none">
5730 \begin_layout Plain Layout
5738 <cell alignment="center" valignment="top" usebox="none">
5741 \begin_layout Plain Layout
5742 \begin_inset Formula $\rceil$
5752 <cell alignment="center" valignment="top" usebox="none">
5755 \begin_layout Plain Layout
5763 <cell alignment="center" valignment="top" usebox="none">
5766 \begin_layout Plain Layout
5767 \begin_inset Formula $\rfloor$
5777 <cell alignment="center" valignment="top" usebox="none">
5780 \begin_layout Plain Layout
5790 <cell alignment="center" valignment="top" usebox="none">
5793 \begin_layout Plain Layout
5794 \begin_inset Formula $\backslash$
5804 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5807 \begin_layout Plain Layout
5815 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5818 \begin_layout Plain Layout
5819 \begin_inset Formula $\|$
5833 \begin_inset space \hfill{}
5839 \begin_layout Standard
5840 \begin_inset Note Greyedout
5843 \begin_layout Plain Layout
5853 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
5860 \begin_inset Index idx
5863 \begin_layout Plain Layout
5879 \begin_layout Standard
5880 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,
5893 \begin_inset Formula $<$
5897 \begin_inset Formula $>$
5903 \begin_layout Subsubsection
5905 \begin_inset CommandInset label
5907 name "subsec:手動の括弧丈"
5912 \begin_inset Index idx
5915 \begin_layout Plain Layout
5924 \begin_layout Standard
5925 括弧の丈は,\SpecialChar LaTeX
5933 \begin_inset Index idx
5936 \begin_layout Plain Layout
5962 を使って,手動で指定することができます.
5977 \begin_layout Standard
5978 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.
5981 \begin_layout Standard
5983 \begin_inset Tabular
5984 <lyxtabular version="3" rows="2" columns="2">
5985 <features booktabs="true" tabularvalignment="middle">
5986 <column alignment="center" valignment="top" width="0pt">
5987 <column alignment="center" valignment="top" width="0pt">
5989 <cell alignment="center" valignment="top" usebox="none">
5992 \begin_layout Plain Layout
5998 <cell alignment="center" valignment="top" usebox="none">
6001 \begin_layout Plain Layout
6002 \begin_inset Formula $((A+B)(A-B))^{C}$
6011 <row topspace="2mm">
6012 <cell alignment="center" valignment="top" usebox="none">
6015 \begin_layout Plain Layout
6021 <cell alignment="center" valignment="top" usebox="none">
6024 \begin_layout Plain Layout
6025 \begin_inset Formula $\Big((A+B)(A-B)\Big)^{C}$
6041 \begin_layout Standard
6049 \begin_inset space \textvisiblespace{}
6057 \begin_layout Standard
6061 \begin_layout Standard
6070 \begin_inset Formula $<$
6082 \begin_inset space \textvisiblespace{}
6090 \begin_inset space \textvisiblespace{}
6094 \begin_inset space \textvisiblespace{}
6100 \begin_inset Formula $>$
6108 \begin_layout Standard
6110 \begin_inset Formula $\Bigg(\exp\bigg<\Big[\big\{\ln(3x)\big\}^{2}\sin(x)\Big]^{A}\bigg>\Bigg)^{0,5}$
6116 \begin_layout Standard
6123 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
6130 \begin_inset Index idx
6133 \begin_layout Plain Layout
6154 \begin_inset Index idx
6157 \begin_layout Plain Layout
6177 は,左括弧であることを示し,右括弧の場合には,
6185 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.
6188 \begin_layout Standard
6192 \begin_layout Standard
6194 \begin_inset Tabular
6195 <lyxtabular version="3" rows="5" columns="2">
6196 <features booktabs="true" tabularvalignment="middle">
6197 <column alignment="center" valignment="top" width="0pt">
6198 <column alignment="center" valignment="middle">
6200 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6203 \begin_layout Plain Layout
6209 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6212 \begin_layout Plain Layout
6219 <row topspace="2mm">
6220 <cell alignment="center" valignment="top" usebox="none">
6223 \begin_layout Plain Layout
6233 \begin_inset space \textvisiblespace{}
6243 <cell alignment="center" valignment="top" usebox="none">
6246 \begin_layout Plain Layout
6247 \begin_inset Formula $\Bigm(\bigm(\ln(3x)\bigm)^{2}\Bigm)$
6256 <row topspace="2mm">
6257 <cell alignment="center" valignment="top" usebox="none">
6260 \begin_layout Plain Layout
6270 \begin_inset space \textvisiblespace{}
6280 <cell alignment="center" valignment="top" usebox="none">
6283 \begin_layout Plain Layout
6284 \begin_inset Formula $\Big(\big(\ln(3x)\big)^{2}\Big)$
6293 <row topspace="2mm" bottomspace="0.5mm">
6294 <cell alignment="center" valignment="top" usebox="none">
6297 \begin_layout Plain Layout
6307 \begin_inset space \textvisiblespace{}
6317 <cell alignment="center" valignment="top" usebox="none">
6320 \begin_layout Plain Layout
6321 \begin_inset Formula $\Bigl(\bigl(\ln(3x)\bigr)^{2}\Bigr)$
6330 <row topspace="1.5mm" bottomspace="0.5mm">
6331 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6334 \begin_layout Plain Layout
6346 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6349 \begin_layout Plain Layout
6350 \begin_inset Formula $\bigl)\ln(3x)\bigr($
6366 \begin_layout Subsubsection
6368 \begin_inset CommandInset label
6370 name "subsec:自動の括弧丈"
6375 \begin_inset Index idx
6378 \begin_layout Plain Layout
6387 \begin_layout Standard
6395 \begin_inset Index idx
6398 \begin_layout Plain Layout
6413 \begin_inset Index idx
6416 \begin_layout Plain Layout
6424 コマンド,あるいは数式ツールバーボタンの
6427 arg "dialog-show mathdelimiter"
6442 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.
6445 \begin_layout Standard
6454 \begin_inset space \textvisiblespace{}
6458 \begin_inset Formula $\downarrow$
6462 \begin_inset space \textvisiblespace{}
6468 \begin_inset Formula
6478 \begin_layout Standard
6489 \begin_inset space \textvisiblespace{}
6493 \begin_inset Formula $\downarrow$
6497 \begin_inset space \textvisiblespace{}
6505 \begin_inset Formula
6507 \ln\left(\frac{A}{C}\right)
6515 \begin_layout Standard
6529 \begin_inset Flex Ruby
6532 \begin_layout Plain Layout
6534 \begin_inset Argument post:1
6537 \begin_layout Plain Layout
6551 \begin_inset space ~
6556 を使うこともできます.これを使うと,\SpecialChar LyX
6557 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.
6558 \begin_inset Newline newline
6572 \begin_inset space \textvisiblespace{}
6576 \begin_inset Formula $\downarrow$
6584 \begin_layout Standard
6585 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,
6592 \begin_inset space \textvisiblespace{}
6596 \begin_inset Formula $\downarrow$
6600 \begin_inset space \textvisiblespace{}
6610 \begin_inset Formula
6612 \left.\frac{A}{B}\right\}
6631 コマンドは,文書が再度読み込まれたときには,\SpecialChar LyX
6632 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.
6635 \begin_layout Standard
6636 \begin_inset VSpace bigskip
6639 著名な\SpecialChar LaTeX
6640 頒布版は,すべて\SpecialChar LaTeX
6641 の拡張であるe\SpecialChar TeX
6642 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
6649 \begin_inset Index idx
6652 \begin_layout Plain Layout
6664 \begin_layout Plain Layout
6676 コマンドは使えません.よって,以下の例では「
6683 \begin_inset Formula $|$
6693 \begin_inset Formula $|$
6702 \begin_inset Formula
6704 \left\langle \phi\:\biggm|\:J=\frac{3}{2}\,,\,M_{J}\right\rangle
6709 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
6710 \begin_inset CommandInset ref
6712 reference "subsec:物理ベクトル"
6716 節に説明されているように特殊な\SpecialChar LaTeX
6720 \begin_layout Subsection
6722 \begin_inset Index idx
6725 \begin_layout Plain Layout
6727 \begin_inset space \thinspace{}
6738 \begin_layout Standard
6740 \begin_inset Tabular
6741 <lyxtabular version="3" rows="4" columns="2">
6742 <features booktabs="true" tabularvalignment="middle">
6743 <column alignment="center" valignment="top" width="0pt">
6744 <column alignment="center" valignment="top" width="0pt">
6746 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6749 \begin_layout Plain Layout
6755 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6758 \begin_layout Plain Layout
6766 <cell alignment="center" valignment="top" usebox="none">
6769 \begin_layout Plain Layout
6773 \begin_inset space \textvisiblespace{}
6777 \begin_inset space \textvisiblespace{}
6781 \begin_inset space \textvisiblespace{}
6785 \begin_inset Index idx
6788 \begin_layout Plain Layout
6801 <cell alignment="center" valignment="top" usebox="none">
6804 \begin_layout Plain Layout
6805 \begin_inset Formula $\overbrace{A+B}^{3}$
6814 <row topspace="2mm">
6815 <cell alignment="center" valignment="top" usebox="none">
6818 \begin_layout Plain Layout
6822 \begin_inset space \textvisiblespace{}
6826 \begin_inset space \textvisiblespace{}
6830 \begin_inset Index idx
6833 \begin_layout Plain Layout
6846 <cell alignment="center" valignment="top" usebox="none">
6849 \begin_layout Plain Layout
6850 \begin_inset Formula $\underbrace{A+B}_{5}$
6860 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6863 \begin_layout Plain Layout
6867 \begin_inset space \textvisiblespace{}
6873 \begin_inset space \textvisiblespace{}
6877 \begin_inset space \textvisiblespace{}
6881 \begin_inset space \textvisiblespace{}
6885 \begin_inset space \textvisiblespace{}
6889 \begin_inset space \textvisiblespace{}
6893 \begin_inset space \textvisiblespace{}
6901 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6904 \begin_layout Plain Layout
6905 \begin_inset Formula $\overbrace{\underbrace{A+B_{w}}_{7}}^{C}$
6921 \begin_layout Standard
6934 が先に挿入されようが代わりはありません.
6937 \begin_layout Standard
6938 \begin_inset VSpace medskip
6944 \begin_layout Standard
6954 \begin_inset Index idx
6957 \begin_layout Plain Layout
6958 ぱっけーじ@パッケージ ! mathtools
6967 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.
6970 \begin_layout Standard
6972 \begin_inset Tabular
6973 <lyxtabular version="3" rows="4" columns="2">
6974 <features booktabs="true" tabularvalignment="middle">
6975 <column alignment="center" valignment="top" width="0pt">
6976 <column alignment="center" valignment="top" width="0pt">
6978 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6981 \begin_layout Plain Layout
6987 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6990 \begin_layout Plain Layout
6998 <cell alignment="center" valignment="top" usebox="none">
7001 \begin_layout Plain Layout
7005 \begin_inset space \textvisiblespace{}
7009 \begin_inset Index idx
7012 \begin_layout Plain Layout
7025 <cell alignment="center" valignment="top" usebox="none">
7028 \begin_layout Plain Layout
7029 \begin_inset Formula $\overbracket{A+B}^{3}$
7038 <row topspace="2mm">
7039 <cell alignment="center" valignment="top" usebox="none">
7042 \begin_layout Plain Layout
7046 \begin_inset space \textvisiblespace{}
7050 \begin_inset Index idx
7053 \begin_layout Plain Layout
7068 <cell alignment="center" valignment="top" usebox="none">
7071 \begin_layout Plain Layout
7072 \begin_inset Formula $\underbracket{A+B}_{5}$
7082 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7085 \begin_layout Plain Layout
7091 \begin_inset space \textvisiblespace{}
7095 \begin_inset space \textvisiblespace{}
7099 \begin_inset space \textvisiblespace{}
7103 \begin_inset space \textvisiblespace{}
7107 \begin_inset space \textvisiblespace{}
7115 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7118 \begin_layout Plain Layout
7119 \begin_inset Formula $\overbracket{\underbracket{A+B_{w}}_{7}}^{C}$
7135 \begin_layout Standard
7148 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.
7151 \begin_layout Standard
7153 \begin_inset Tabular
7154 <lyxtabular version="3" rows="3" columns="2">
7155 <features booktabs="true" tabularvalignment="middle">
7156 <column alignment="center" valignment="top" width="0pt">
7157 <column alignment="center" valignment="top" width="0pt">
7159 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7162 \begin_layout Plain Layout
7168 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7171 \begin_layout Plain Layout
7179 <cell alignment="center" valignment="top" usebox="none">
7182 \begin_layout Plain Layout
7188 \begin_inset space \textvisiblespace{}
7196 <cell alignment="center" valignment="top" usebox="none">
7199 \begin_layout Plain Layout
7200 \begin_inset Formula $\overbracket[3pt]{A+B}^{3}$
7209 <row topspace="2mm">
7210 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7213 \begin_layout Plain Layout
7219 \begin_inset space \textvisiblespace{}
7227 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7230 \begin_layout Plain Layout
7231 \begin_inset Formula $\underbracket[1pt]{A+B}_{5}$
7247 \begin_layout Standard
7248 \begin_inset VSpace bigskip
7251 括弧をお互いに重ねる必要がある場合には,第
7252 \begin_inset CommandInset ref
7254 reference "sec:多行数式"
7258 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.
7259 \begin_inset Formula
7261 A & = & \underbrace{gggg+bbqq}_{r}+\:dddd\\
7262 & & \hphantom{gggg+\:}\underbrace{\hphantom{bbqq+dddd}}_{s}
7267 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
7271 \begin_layout Plain Layout
7273 \begin_inset CommandInset ref
7275 reference "subsec:定義済みの空白"
7291 \begin_inset Formula $d$
7294 の前に挿入しておくことが重要です.さもないと,
7295 \begin_inset Formula $q$
7298 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
7302 \begin_layout Plain Layout
7303 これは,括弧が文字として取り扱われないためです.第
7304 \begin_inset CommandInset ref
7306 reference "subsec:二項演算子"
7315 ためです.二行目には,二つめの括弧が挿入されています.
7316 \begin_inset Formula $b$
7331 \begin_layout Plain Layout
7339 \begin_inset CommandInset ref
7341 reference "subsec:埋め草"
7350 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
7359 \begin_layout Standard
7360 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.
7364 \begin_layout Plain Layout
7376 \begin_inset Formula
7378 & & \hphantom{gggg+\:}\overbrace{\hphantom{bbqq+dddd}}^{s}\\
7379 A & = & \underbrace{gggg+bbqq}_{r}+\:dddd
7388 \begin_layout Plain Layout
7399 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
7400 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
7405 \begin_layout Plain Layout
7406 \begin_inset CommandInset href
7408 name "LyX-bug #1505"
7409 target "http://www.lyx.org/trac/ticket/1505"
7419 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
7426 というコマンドを入れて,大域的な数式行間
7433 \begin_inset Index idx
7436 \begin_layout Plain Layout
7445 \begin_inset space \thinspace{}
7454 は,数式直後に同様のコマンドを使って標準値の3
7455 \begin_inset space \thinspace{}
7458 ptに戻します.数式中の行間について,詳しくは第
7459 \begin_inset CommandInset ref
7461 reference "subsec:行間"
7468 \begin_layout Section
7470 \begin_inset Index idx
7473 \begin_layout Plain Layout
7482 \begin_layout Standard
7486 arg "math-insert \\leftarrow"
7489 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.
7492 \begin_layout Subsection
7494 \begin_inset Index idx
7497 \begin_layout Plain Layout
7506 \begin_layout Standard
7507 \begin_inset space \hfill{}
7511 \begin_inset Tabular
7512 <lyxtabular version="3" rows="8" columns="2">
7513 <features booktabs="true" tabularvalignment="middle">
7514 <column alignment="center" valignment="top" width="0pt">
7515 <column alignment="center" valignment="top" width="0pt">
7517 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7520 \begin_layout Plain Layout
7526 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7529 \begin_layout Plain Layout
7537 <cell alignment="center" valignment="top" usebox="none">
7540 \begin_layout Plain Layout
7548 <cell alignment="center" valignment="top" usebox="none">
7551 \begin_layout Plain Layout
7552 \begin_inset Formula $\gets$
7562 <cell alignment="center" valignment="top" usebox="none">
7565 \begin_layout Plain Layout
7573 <cell alignment="center" valignment="top" usebox="none">
7576 \begin_layout Plain Layout
7577 \begin_inset Formula $\Leftarrow$
7587 <cell alignment="center" valignment="top" usebox="none">
7590 \begin_layout Plain Layout
7598 <cell alignment="center" valignment="top" usebox="none">
7601 \begin_layout Plain Layout
7602 \begin_inset Formula $\longleftarrow$
7612 <cell alignment="center" valignment="top" usebox="none">
7615 \begin_layout Plain Layout
7623 <cell alignment="center" valignment="top" usebox="none">
7626 \begin_layout Plain Layout
7627 \begin_inset Formula $\Longleftarrow$
7637 <cell alignment="center" valignment="top" usebox="none">
7640 \begin_layout Plain Layout
7648 <cell alignment="center" valignment="top" usebox="none">
7651 \begin_layout Plain Layout
7652 \begin_inset Formula $\leftharpoonup$
7662 <cell alignment="center" valignment="top" usebox="none">
7665 \begin_layout Plain Layout
7673 <cell alignment="center" valignment="top" usebox="none">
7676 \begin_layout Plain Layout
7677 \begin_inset Formula $\leftharpoondown$
7687 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7690 \begin_layout Plain Layout
7698 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7701 \begin_layout Plain Layout
7702 \begin_inset Formula $\hookleftarrow$
7716 \begin_inset space \hfill{}
7720 \begin_inset Tabular
7721 <lyxtabular version="3" rows="8" columns="2">
7722 <features booktabs="true" tabularvalignment="middle">
7723 <column alignment="center" valignment="top" width="0pt">
7724 <column alignment="center" valignment="top" width="0pt">
7726 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7729 \begin_layout Plain Layout
7735 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7738 \begin_layout Plain Layout
7746 <cell alignment="center" valignment="top" usebox="none">
7749 \begin_layout Plain Layout
7757 <cell alignment="center" valignment="top" usebox="none">
7760 \begin_layout Plain Layout
7761 \begin_inset Formula $\to$
7771 <cell alignment="center" valignment="top" usebox="none">
7774 \begin_layout Plain Layout
7782 <cell alignment="center" valignment="top" usebox="none">
7785 \begin_layout Plain Layout
7786 \begin_inset Formula $\Rightarrow$
7796 <cell alignment="center" valignment="top" usebox="none">
7799 \begin_layout Plain Layout
7807 <cell alignment="center" valignment="top" usebox="none">
7810 \begin_layout Plain Layout
7811 \begin_inset Formula $\longrightarrow$
7821 <cell alignment="center" valignment="top" usebox="none">
7824 \begin_layout Plain Layout
7832 <cell alignment="center" valignment="top" usebox="none">
7835 \begin_layout Plain Layout
7836 \begin_inset Formula $\Longrightarrow$
7846 <cell alignment="center" valignment="top" usebox="none">
7849 \begin_layout Plain Layout
7857 <cell alignment="center" valignment="top" usebox="none">
7860 \begin_layout Plain Layout
7861 \begin_inset Formula $\rightharpoonup$
7871 <cell alignment="center" valignment="top" usebox="none">
7874 \begin_layout Plain Layout
7882 <cell alignment="center" valignment="top" usebox="none">
7885 \begin_layout Plain Layout
7886 \begin_inset Formula $\rightharpoondown$
7896 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7899 \begin_layout Plain Layout
7907 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7910 \begin_layout Plain Layout
7911 \begin_inset Formula $\hookrightarrow$
7925 \begin_inset space \hfill{}
7931 \begin_layout Standard
7932 \begin_inset space \hfill{}
7936 \begin_inset Tabular
7937 <lyxtabular version="3" rows="6" columns="2">
7938 <features booktabs="true" tabularvalignment="middle">
7939 <column alignment="center" valignment="top" width="0pt">
7940 <column alignment="center" valignment="top" width="0pt">
7942 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7945 \begin_layout Plain Layout
7951 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7954 \begin_layout Plain Layout
7962 <cell alignment="center" valignment="top" usebox="none">
7965 \begin_layout Plain Layout
7973 <cell alignment="center" valignment="top" usebox="none">
7976 \begin_layout Plain Layout
7977 \begin_inset Formula $\leftrightarrow$
7987 <cell alignment="center" valignment="top" usebox="none">
7990 \begin_layout Plain Layout
7998 <cell alignment="center" valignment="top" usebox="none">
8001 \begin_layout Plain Layout
8002 \begin_inset Formula $\Leftrightarrow$
8012 <cell alignment="center" valignment="top" usebox="none">
8015 \begin_layout Plain Layout
8023 <cell alignment="center" valignment="top" usebox="none">
8026 \begin_layout Plain Layout
8027 \begin_inset Formula $\longleftrightarrow$
8037 <cell alignment="center" valignment="top" usebox="none">
8040 \begin_layout Plain Layout
8048 <cell alignment="center" valignment="top" usebox="none">
8051 \begin_layout Plain Layout
8052 \begin_inset Formula $\Longleftrightarrow$
8062 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8065 \begin_layout Plain Layout
8073 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8076 \begin_layout Plain Layout
8077 \begin_inset Formula $\rightleftharpoons$
8091 \begin_inset space \hspace{}
8096 \begin_inset space \hfill{}
8100 \begin_inset Tabular
8101 <lyxtabular version="3" rows="5" columns="2">
8102 <features booktabs="true" tabularvalignment="middle">
8103 <column alignment="center" valignment="top" width="0pt">
8104 <column alignment="center" valignment="top" width="0pt">
8106 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8109 \begin_layout Plain Layout
8115 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8118 \begin_layout Plain Layout
8126 <cell alignment="center" valignment="top" usebox="none">
8129 \begin_layout Plain Layout
8137 <cell alignment="center" valignment="top" usebox="none">
8140 \begin_layout Plain Layout
8141 \begin_inset Formula $\mapsto$
8151 <cell alignment="center" valignment="top" usebox="none">
8154 \begin_layout Plain Layout
8162 <cell alignment="center" valignment="top" usebox="none">
8165 \begin_layout Plain Layout
8166 \begin_inset Formula $\longmapsto$
8176 <cell alignment="center" valignment="top" usebox="none">
8179 \begin_layout Plain Layout
8187 <cell alignment="center" valignment="top" usebox="none">
8190 \begin_layout Plain Layout
8191 \begin_inset Formula $\leadsto$
8201 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8204 \begin_layout Plain Layout
8212 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8215 \begin_layout Plain Layout
8216 \begin_inset Formula $\dasharrow$
8230 \begin_inset space \hfill{}
8236 \begin_layout Standard
8237 \begin_inset VSpace medskip
8240 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
8241 \begin_inset CommandInset ref
8243 reference "sec:アクセント"
8250 \begin_layout Standard
8251 \begin_inset VSpace bigskip
8255 \begin_inset Index idx
8258 \begin_layout Plain Layout
8259 やじるし@矢印 ! らべるつき@ラベル付き
8271 \begin_inset Index idx
8274 \begin_layout Plain Layout
8289 \begin_inset Index idx
8292 \begin_layout Plain Layout
8299 \begin_layout Plain Layout
8313 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
8317 \begin_layout Standard
8319 \begin_inset Tabular
8320 <lyxtabular version="3" rows="3" columns="2">
8321 <features booktabs="true" tabularvalignment="middle">
8322 <column alignment="center" valignment="top" width="0pt">
8323 <column alignment="center" valignment="top" width="0pt">
8325 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8328 \begin_layout Plain Layout
8334 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8337 \begin_layout Plain Layout
8345 <cell alignment="center" valignment="top" usebox="none">
8348 \begin_layout Plain Layout
8352 \begin_inset space \textvisiblespace{}
8356 \begin_inset Formula $\downarrow$
8360 \begin_inset Formula $\to$
8368 <cell alignment="center" valignment="top" usebox="none">
8371 \begin_layout Plain Layout
8372 \begin_inset Formula $F(a)\xleftarrow[x>0]{x=a}F(x)$
8381 <row topspace="2mm">
8382 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8385 \begin_layout Plain Layout
8389 \begin_inset space \textvisiblespace{}
8393 \begin_inset Formula $\downarrow$
8397 \begin_inset Formula $\to$
8405 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8408 \begin_layout Plain Layout
8409 \begin_inset Formula $F(x)\xrightarrow[x>0]{x=a}F(a)$
8425 \begin_layout Standard
8426 \begin_inset VSpace medskip
8432 \begin_layout Standard
8442 \begin_inset Index idx
8445 \begin_layout Plain Layout
8446 ぱっけーじ@パッケージ ! mathtools
8455 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.
8458 \begin_layout Standard
8459 \begin_inset Newpage newpage
8465 \begin_layout Standard
8467 \begin_inset space \hspace*{\fill}
8471 \begin_inset Tabular
8472 <lyxtabular version="3" rows="7" columns="2">
8473 <features booktabs="true" tabularvalignment="middle">
8474 <column alignment="center" valignment="top" width="0pt">
8475 <column alignment="center" valignment="top" width="0pt">
8477 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8480 \begin_layout Plain Layout
8486 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8489 \begin_layout Plain Layout
8497 <cell alignment="center" valignment="top" usebox="none">
8500 \begin_layout Plain Layout
8508 <cell alignment="center" valignment="top" usebox="none">
8511 \begin_layout Plain Layout
8512 \begin_inset Formula $\xleftrightarrow[x=a]{x>0}$
8521 <row topspace="2mm">
8522 <cell alignment="center" valignment="top" usebox="none">
8525 \begin_layout Plain Layout
8533 <cell alignment="center" valignment="top" usebox="none">
8536 \begin_layout Plain Layout
8537 \begin_inset Formula $\xLeftarrow[x=a]{x>0}$
8546 <row topspace="2mm">
8547 <cell alignment="center" valignment="top" usebox="none">
8550 \begin_layout Plain Layout
8558 <cell alignment="center" valignment="top" usebox="none">
8561 \begin_layout Plain Layout
8562 \begin_inset Formula $\xRightarrow[x=a]{x>0}$
8571 <row topspace="2mm">
8572 <cell alignment="center" valignment="top" usebox="none">
8575 \begin_layout Plain Layout
8583 <cell alignment="center" valignment="top" usebox="none">
8586 \begin_layout Plain Layout
8587 \begin_inset Formula $\xLeftrightarrow[x=a]{x>0}$
8596 <row topspace="2mm">
8597 <cell alignment="center" valignment="top" usebox="none">
8600 \begin_layout Plain Layout
8608 <cell alignment="center" valignment="top" usebox="none">
8611 \begin_layout Plain Layout
8612 \begin_inset Formula $\xhookleftarrow[x=a]{x>0}$
8621 <row topspace="2mm">
8622 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8625 \begin_layout Plain Layout
8633 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8636 \begin_layout Plain Layout
8637 \begin_inset Formula $\xhookrightarrow[x=a]{x>0}$
8651 \begin_inset space \hspace*{\fill}
8655 \begin_inset Tabular
8656 <lyxtabular version="3" rows="7" columns="2">
8657 <features booktabs="true" tabularvalignment="middle">
8658 <column alignment="center" valignment="top" width="0pt">
8659 <column alignment="center" valignment="top" width="0pt">
8661 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8664 \begin_layout Plain Layout
8670 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8673 \begin_layout Plain Layout
8681 <cell alignment="center" valignment="top" usebox="none">
8684 \begin_layout Plain Layout
8692 <cell alignment="center" valignment="top" usebox="none">
8695 \begin_layout Plain Layout
8696 \begin_inset Formula $\xleftharpoondown[x=a]{x>0}$
8705 <row topspace="2mm">
8706 <cell alignment="center" valignment="top" usebox="none">
8709 \begin_layout Plain Layout
8717 <cell alignment="center" valignment="top" usebox="none">
8720 \begin_layout Plain Layout
8721 \begin_inset Formula $\xleftharpoonup[x=a]{x>0}$
8730 <row topspace="2mm">
8731 <cell alignment="center" valignment="top" usebox="none">
8734 \begin_layout Plain Layout
8742 <cell alignment="center" valignment="top" usebox="none">
8745 \begin_layout Plain Layout
8746 \begin_inset Formula $\xrightharpoondown[x=a]{x>0}$
8755 <row topspace="2mm">
8756 <cell alignment="center" valignment="top" usebox="none">
8759 \begin_layout Plain Layout
8767 <cell alignment="center" valignment="top" usebox="none">
8770 \begin_layout Plain Layout
8771 \begin_inset Formula $\xrightharpoonup[x=a]{x>0}$
8780 <row topspace="2mm">
8781 <cell alignment="center" valignment="top" usebox="none">
8784 \begin_layout Plain Layout
8792 <cell alignment="center" valignment="top" usebox="none">
8795 \begin_layout Plain Layout
8796 \begin_inset Formula $\xleftrightharpoons[x=a]{x>0}$
8805 <row topspace="2mm">
8806 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8809 \begin_layout Plain Layout
8817 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8820 \begin_layout Plain Layout
8821 \begin_inset Formula $\xrightleftharpoons[x=a]{x>0}$
8835 \begin_inset space \hspace*{\fill}
8841 \begin_layout Standard
8842 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.
8845 \begin_layout Standard
8847 \begin_inset Tabular
8848 <lyxtabular version="3" rows="2" columns="2">
8849 <features booktabs="true" tabularvalignment="middle">
8850 <column alignment="center" valignment="top" width="0pt">
8851 <column alignment="center" valignment="top" width="0pt">
8853 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8856 \begin_layout Plain Layout
8862 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8865 \begin_layout Plain Layout
8872 <row bottomspace="0.5mm">
8873 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8876 \begin_layout Plain Layout
8879 xleftrightarrow[x=a]
8882 \begin_inset Formula $\to$
8890 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8893 \begin_layout Plain Layout
8894 \begin_inset Formula $F(a)\xleftrightarrow[x=a]{x>0}F(x)$
8910 \begin_layout Subsection
8912 \begin_inset Index idx
8915 \begin_layout Plain Layout
8922 \begin_inset Index idx
8925 \begin_layout Plain Layout
8934 \begin_layout Standard
8935 \begin_inset space \hfill{}
8939 \begin_inset Tabular
8940 <lyxtabular version="3" rows="7" columns="2">
8941 <features booktabs="true" tabularvalignment="middle">
8942 <column alignment="center" valignment="top" width="0pt">
8943 <column alignment="center" valignment="top" width="0pt">
8945 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8948 \begin_layout Plain Layout
8954 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8957 \begin_layout Plain Layout
8965 <cell alignment="center" valignment="top" usebox="none">
8968 \begin_layout Plain Layout
8976 <cell alignment="center" valignment="top" usebox="none">
8979 \begin_layout Plain Layout
8980 \begin_inset Formula $\uparrow$
8990 <cell alignment="center" valignment="top" usebox="none">
8993 \begin_layout Plain Layout
9001 <cell alignment="center" valignment="top" usebox="none">
9004 \begin_layout Plain Layout
9005 \begin_inset Formula $\Uparrow$
9015 <cell alignment="center" valignment="top" usebox="none">
9018 \begin_layout Plain Layout
9026 <cell alignment="center" valignment="top" usebox="none">
9029 \begin_layout Plain Layout
9030 \begin_inset Formula $\updownarrow$
9040 <cell alignment="center" valignment="top" usebox="none">
9043 \begin_layout Plain Layout
9051 <cell alignment="center" valignment="top" usebox="none">
9054 \begin_layout Plain Layout
9055 \begin_inset Formula $\Updownarrow$
9065 <cell alignment="center" valignment="top" usebox="none">
9068 \begin_layout Plain Layout
9076 <cell alignment="center" valignment="top" usebox="none">
9079 \begin_layout Plain Layout
9080 \begin_inset Formula $\Downarrow$
9090 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9093 \begin_layout Plain Layout
9101 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9104 \begin_layout Plain Layout
9105 \begin_inset Formula $\downarrow$
9119 \begin_inset space \hfill{}
9123 \begin_inset Tabular
9124 <lyxtabular version="3" rows="5" columns="2">
9125 <features booktabs="true" tabularvalignment="middle">
9126 <column alignment="center" valignment="top" width="0pt">
9127 <column alignment="center" valignment="top" width="0pt">
9129 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9132 \begin_layout Plain Layout
9138 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9141 \begin_layout Plain Layout
9149 <cell alignment="center" valignment="top" usebox="none">
9152 \begin_layout Plain Layout
9160 <cell alignment="center" valignment="top" usebox="none">
9163 \begin_layout Plain Layout
9164 \begin_inset Formula $\nearrow$
9174 <cell alignment="center" valignment="top" usebox="none">
9177 \begin_layout Plain Layout
9185 <cell alignment="center" valignment="top" usebox="none">
9188 \begin_layout Plain Layout
9189 \begin_inset Formula $\searrow$
9199 <cell alignment="center" valignment="top" usebox="none">
9202 \begin_layout Plain Layout
9210 <cell alignment="center" valignment="top" usebox="none">
9213 \begin_layout Plain Layout
9214 \begin_inset Formula $\swarrow$
9224 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9227 \begin_layout Plain Layout
9235 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9238 \begin_layout Plain Layout
9239 \begin_inset Formula $\nwarrow$
9253 \begin_inset space \hfill{}
9259 \begin_layout Standard
9260 \begin_inset VSpace medskip
9264 \begin_inset CommandInset ref
9266 reference "subsec:手動の括弧丈"
9271 \begin_inset CommandInset ref
9273 reference "subsec:自動の括弧丈"
9277 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.
9280 \begin_layout Section
9282 \begin_inset CommandInset label
9289 \begin_inset Index idx
9292 \begin_layout Plain Layout
9301 \begin_layout Standard
9305 arg "math-insert \\hat"
9308 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.
9311 \begin_layout Subsection
9316 \begin_layout Plain Layout
9329 \begin_layout Plain Layout
9331 \begin_inset CommandInset ref
9333 reference "subsec:文章中のアクセント"
9346 \begin_layout Plain Layout
9354 \begin_inset Note Note
9357 \begin_layout Plain Layout
9364 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.
9367 \begin_layout Plain Layout
9375 \begin_inset CommandInset ref
9377 reference "subsec:節見出し中の数式"
9387 \begin_inset CommandInset label
9389 name "subsec:一文字に付けるアクセント"
9394 \begin_inset Index idx
9397 \begin_layout Plain Layout
9398 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
9406 \begin_layout Standard
9407 \begin_inset space \hfill{}
9411 \begin_inset Tabular
9412 <lyxtabular version="3" rows="8" columns="2">
9413 <features booktabs="true" tabularvalignment="middle">
9414 <column alignment="center" valignment="top" width="0pt">
9415 <column alignment="center" valignment="top" width="0pt">
9417 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9420 \begin_layout Plain Layout
9426 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9429 \begin_layout Plain Layout
9436 <row topspace="1.5mm">
9437 <cell alignment="center" valignment="top" usebox="none">
9440 \begin_layout Plain Layout
9444 \begin_inset space \textvisiblespace{}
9452 <cell alignment="center" valignment="top" usebox="none">
9455 \begin_layout Plain Layout
9456 \begin_inset Formula $\dot{A}$
9465 <row topspace="1.5mm">
9466 <cell alignment="center" valignment="top" usebox="none">
9469 \begin_layout Plain Layout
9473 \begin_inset space \textvisiblespace{}
9481 <cell alignment="center" valignment="top" usebox="none">
9484 \begin_layout Plain Layout
9485 \begin_inset Formula $\ddot{A}$
9494 <row topspace="1.5mm">
9495 <cell alignment="center" valignment="top" usebox="none">
9498 \begin_layout Plain Layout
9502 \begin_inset space \textvisiblespace{}
9510 <cell alignment="center" valignment="top" usebox="none">
9513 \begin_layout Plain Layout
9514 \begin_inset Formula $\dddot{A}$
9523 <row topspace="1.5mm">
9524 <cell alignment="center" valignment="top" usebox="none">
9527 \begin_layout Plain Layout
9531 \begin_inset space \textvisiblespace{}
9539 <cell alignment="center" valignment="top" usebox="none">
9542 \begin_layout Plain Layout
9543 \begin_inset Formula $\ddddot{A}$
9552 <row topspace="1.5mm">
9553 <cell alignment="center" valignment="top" usebox="none">
9556 \begin_layout Plain Layout
9560 \begin_inset space \textvisiblespace{}
9564 \begin_inset Index idx
9567 \begin_layout Plain Layout
9578 <cell alignment="center" valignment="top" usebox="none">
9581 \begin_layout Plain Layout
9582 \begin_inset Formula $\vec{A}$
9591 <row topspace="1.5mm">
9592 <cell alignment="center" valignment="top" usebox="none">
9595 \begin_layout Plain Layout
9599 \begin_inset space \textvisiblespace{}
9607 <cell alignment="center" valignment="top" usebox="none">
9610 \begin_layout Plain Layout
9611 \begin_inset Formula $\bar{A}$
9620 <row topspace="1.5mm">
9621 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9624 \begin_layout Plain Layout
9628 \begin_inset space \textvisiblespace{}
9636 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9639 \begin_layout Plain Layout
9640 \begin_inset Formula $\mathring{A}$
9654 \begin_inset space \hfill{}
9658 \begin_inset Tabular
9659 <lyxtabular version="3" rows="7" columns="2">
9660 <features booktabs="true" tabularvalignment="middle">
9661 <column alignment="center" valignment="top" width="0pt">
9662 <column alignment="center" valignment="top" width="0pt">
9664 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9667 \begin_layout Plain Layout
9673 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9676 \begin_layout Plain Layout
9683 <row topspace="1.5mm">
9684 <cell alignment="center" valignment="top" usebox="none">
9687 \begin_layout Plain Layout
9691 \begin_inset space \textvisiblespace{}
9699 <cell alignment="center" valignment="top" usebox="none">
9702 \begin_layout Plain Layout
9703 \begin_inset Formula $\tilde{A}$
9712 <row topspace="1.5mm">
9713 <cell alignment="center" valignment="top" usebox="none">
9716 \begin_layout Plain Layout
9720 \begin_inset space \textvisiblespace{}
9728 <cell alignment="center" valignment="top" usebox="none">
9731 \begin_layout Plain Layout
9732 \begin_inset Formula $\hat{A}$
9741 <row topspace="1.5mm">
9742 <cell alignment="center" valignment="top" usebox="none">
9745 \begin_layout Plain Layout
9749 \begin_inset space \textvisiblespace{}
9757 <cell alignment="center" valignment="top" usebox="none">
9760 \begin_layout Plain Layout
9761 \begin_inset Formula $\check{A}$
9770 <row topspace="1.5mm">
9771 <cell alignment="center" valignment="top" usebox="none">
9774 \begin_layout Plain Layout
9778 \begin_inset space \textvisiblespace{}
9786 <cell alignment="center" valignment="top" usebox="none">
9789 \begin_layout Plain Layout
9790 \begin_inset Formula $\acute{A}$
9799 <row topspace="1.5mm">
9800 <cell alignment="center" valignment="top" usebox="none">
9803 \begin_layout Plain Layout
9807 \begin_inset space \textvisiblespace{}
9815 <cell alignment="center" valignment="top" usebox="none">
9818 \begin_layout Plain Layout
9819 \begin_inset Formula $\grave{A}$
9828 <row topspace="1.5mm">
9829 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9832 \begin_layout Plain Layout
9836 \begin_inset space \textvisiblespace{}
9844 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9847 \begin_layout Plain Layout
9848 \begin_inset Formula $\breve{A}$
9862 \begin_inset space \hfill{}
9868 \begin_layout Standard
9869 \begin_inset VSpace bigskip
9875 \begin_layout Standard
9879 \begin_layout Plain Layout
9888 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
9889 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
9890 \begin_inset Index idx
9893 \begin_layout Plain Layout
9899 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
9900 は,引用符と母音をまとめて一つの文字として取り
9907 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.
9910 \begin_layout Standard
9911 \begin_inset VSpace -2mm
9917 \begin_layout Standard
9919 \begin_inset Tabular
9920 <lyxtabular version="3" rows="3" columns="2">
9921 <features booktabs="true" tabularvalignment="middle">
9922 <column alignment="center" valignment="top" width="0pt">
9923 <column alignment="center" valignment="top">
9925 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9928 \begin_layout Plain Layout
9934 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9937 \begin_layout Plain Layout
9945 <cell alignment="center" valignment="top" usebox="none">
9948 \begin_layout Plain Layout
9949 \begin_inset Quotes grd
9957 <cell alignment="center" valignment="top" usebox="none">
9960 \begin_layout Plain Layout
9963 \begin_inset space \hspace{}
9968 \begin_inset Formula $"i$
9977 <row topspace="1.5mm">
9978 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9981 \begin_layout Plain Layout
9985 \begin_inset space \textvisiblespace{}
9993 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9996 \begin_layout Plain Layout
9997 \begin_inset Formula $\ddot{i}$
10013 \begin_layout Standard
10020 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
10024 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
10025 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.
10028 \begin_layout Standard
10029 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.
10032 \begin_layout Standard
10033 \begin_inset VSpace bigskip
10039 \begin_layout Standard
10041 は,\SpecialChar LaTeX
10047 \begin_inset Index idx
10050 \begin_layout Plain Layout
10051 ぱっけーじ@パッケージ ! upgreek
10056 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.
10059 \begin_layout Standard
10063 \begin_layout Plain Layout
10073 \begin_inset Note Note
10076 \begin_layout Plain Layout
10082 パッケージが導入済みのときのみ表示されます.
10090 \begin_layout Standard
10093 \begin_inset Tabular
10094 <lyxtabular version="3" rows="2" columns="2">
10095 <features booktabs="true" tabularvalignment="middle">
10096 <column alignment="center" valignment="top" width="0pt">
10097 <column alignment="center" valignment="top" width="0pt">
10099 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10102 \begin_layout Plain Layout
10108 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
10111 \begin_layout Plain Layout
10119 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
10122 \begin_layout Plain Layout
10126 \begin_inset space \textvisiblespace{}
10134 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
10137 \begin_layout Plain Layout
10138 \begin_inset Formula $\utilde{A}$
10154 \begin_layout Standard
10158 \begin_layout Plain Layout
10168 \begin_inset Note Note
10171 \begin_layout Plain Layout
10177 パッケージが導入されていないときのみ表示されます.
10185 \begin_layout Standard
10194 \begin_layout Standard
10198 \begin_layout Plain Layout
10210 \begin_layout Standard
10211 \begin_inset Newpage newpage
10217 \begin_layout Subsection
10219 \begin_inset Index idx
10222 \begin_layout Plain Layout
10223 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
10231 \begin_layout Standard
10232 \begin_inset space \hfill{}
10236 \begin_inset Tabular
10237 <lyxtabular version="3" rows="5" columns="2">
10238 <features booktabs="true" tabularvalignment="middle">
10239 <column alignment="center" valignment="top" width="0pt">
10240 <column alignment="center" valignment="top" width="0pt">
10242 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10245 \begin_layout Plain Layout
10251 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
10254 \begin_layout Plain Layout
10261 <row topspace="1.5mm">
10262 <cell alignment="center" valignment="top" usebox="none">
10265 \begin_layout Plain Layout
10269 \begin_inset space \textvisiblespace{}
10277 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10280 \begin_layout Plain Layout
10281 \begin_inset Formula $\overleftarrow{A=B}$
10290 <row topspace="1.5mm">
10291 <cell alignment="center" valignment="top" usebox="none">
10294 \begin_layout Plain Layout
10298 \begin_inset space \textvisiblespace{}
10306 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10309 \begin_layout Plain Layout
10310 \begin_inset Formula $\underleftarrow{A=B}$
10319 <row topspace="1.5mm">
10320 <cell alignment="center" valignment="top" usebox="none">
10323 \begin_layout Plain Layout
10327 \begin_inset space \textvisiblespace{}
10335 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10338 \begin_layout Plain Layout
10339 \begin_inset Formula $\overleftrightarrow{A=B}$
10348 <row topspace="1.5mm" bottomspace="1mm">
10349 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
10352 \begin_layout Plain Layout
10355 underleftrightarrow
10356 \begin_inset space \textvisiblespace{}
10364 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
10367 \begin_layout Plain Layout
10368 \begin_inset Formula $\underleftrightarrow{A=B}$
10382 \begin_inset space \hfill{}
10386 \begin_inset Tabular
10387 <lyxtabular version="3" rows="5" columns="2">
10388 <features booktabs="true" tabularvalignment="middle">
10389 <column alignment="center" valignment="top" width="0pt">
10390 <column alignment="center" valignment="top" width="0pt">
10392 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10395 \begin_layout Plain Layout
10401 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
10404 \begin_layout Plain Layout
10411 <row topspace="1.5mm">
10412 <cell alignment="center" valignment="top" usebox="none">
10415 \begin_layout Plain Layout
10419 \begin_inset space \textvisiblespace{}
10427 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10430 \begin_layout Plain Layout
10431 \begin_inset Formula $\overrightarrow{A=B}$
10440 <row topspace="1.5mm">
10441 <cell alignment="center" valignment="top" usebox="none">
10444 \begin_layout Plain Layout
10448 \begin_inset space \textvisiblespace{}
10456 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10459 \begin_layout Plain Layout
10460 \begin_inset Formula $\underrightarrow{A=B}$
10469 <row topspace="1.5mm">
10470 <cell alignment="center" valignment="top" usebox="none">
10473 \begin_layout Plain Layout
10477 \begin_inset space \textvisiblespace{}
10485 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10488 \begin_layout Plain Layout
10489 \begin_inset Formula $\widetilde{A=B}$
10498 <row topspace="1.5mm" bottomspace="1mm">
10499 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
10502 \begin_layout Plain Layout
10506 \begin_inset space \textvisiblespace{}
10514 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
10517 \begin_layout Plain Layout
10518 \begin_inset Formula $\widehat{A=B}$
10532 \begin_inset space \hfill{}
10538 \begin_layout Standard
10539 \begin_inset VSpace medskip
10542 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,
10554 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.
10555 \begin_inset Formula
10557 \widetilde{A+B=C-D}
10565 \begin_layout Standard
10573 \begin_inset Index idx
10576 \begin_layout Plain Layout
10591 \begin_inset Index idx
10594 \begin_layout Plain Layout
10602 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.
10607 \begin_inset space \textvisiblespace{}
10611 \begin_inset Formula $\downarrow$
10617 \begin_inset Formula
10619 \underset{***}{A=B}
10627 \begin_layout Section
10629 \begin_inset CommandInset label
10636 \begin_inset Index idx
10639 \begin_layout Plain Layout
10641 \begin_inset space \thinspace{}
10652 \begin_layout Subsection
10654 \begin_inset CommandInset label
10656 name "subsec:定義済みの空白"
10661 \begin_inset Index idx
10664 \begin_layout Plain Layout
10666 \begin_inset space \thinspace{}
10677 \begin_layout Standard
10678 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(
10679 \begin_inset Flex Ruby
10682 \begin_layout Plain Layout
10684 \begin_inset Argument post:1
10687 \begin_layout Plain Layout
10701 arg "command-alternatives space-insert protected ; math-space"
10707 \begin_inset space \textvisiblespace{}
10716 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
10719 arg "math-insert \\space"
10722 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
10726 を押すことによって,長さを変更することができます.
10729 \begin_layout Standard
10732 \begin_inset Tabular
10733 <lyxtabular version="3" rows="6" columns="3">
10734 <features booktabs="true" tabularvalignment="middle">
10735 <column alignment="center" valignment="top">
10736 <column alignment="center" valignment="top" width="15col%">
10737 <column alignment="center" valignment="top">
10739 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10742 \begin_layout Plain Layout
10748 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10751 \begin_layout Plain Layout
10761 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
10764 \begin_layout Plain Layout
10772 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10775 \begin_layout Plain Layout
10783 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10786 \begin_layout Plain Layout
10792 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10795 \begin_layout Plain Layout
10796 \begin_inset Formula $A\,B$
10806 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10809 \begin_layout Plain Layout
10817 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10820 \begin_layout Plain Layout
10826 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10829 \begin_layout Plain Layout
10830 \begin_inset Formula $A\:B$
10840 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10843 \begin_layout Plain Layout
10851 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10854 \begin_layout Plain Layout
10860 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10863 \begin_layout Plain Layout
10864 \begin_inset Formula $A\;B$
10874 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10877 \begin_layout Plain Layout
10885 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10888 \begin_layout Plain Layout
10894 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10897 \begin_layout Plain Layout
10898 \begin_inset Formula $A\quad B$
10908 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
10911 \begin_layout Plain Layout
10919 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
10922 \begin_layout Plain Layout
10928 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
10931 \begin_layout Plain Layout
10932 \begin_inset Formula $A\qquad B$
10946 \begin_inset space \hfill{}
10950 \begin_inset Tabular
10951 <lyxtabular version="3" rows="6" columns="3">
10952 <features booktabs="true" tabularvalignment="middle">
10953 <column alignment="center" valignment="top">
10954 <column alignment="center" valignment="top" width="15col%">
10955 <column alignment="center" valignment="top">
10957 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10960 \begin_layout Plain Layout
10966 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10969 \begin_layout Plain Layout
10979 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
10982 \begin_layout Plain Layout
10990 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10993 \begin_layout Plain Layout
11001 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11004 \begin_layout Plain Layout
11010 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11013 \begin_layout Plain Layout
11014 \begin_inset Formula $A\hfill B$
11024 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11027 \begin_layout Plain Layout
11035 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11038 \begin_layout Plain Layout
11044 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11047 \begin_layout Plain Layout
11048 \begin_inset Formula $A\hspace*{1em}B$
11058 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11061 \begin_layout Plain Layout
11069 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11072 \begin_layout Plain Layout
11078 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11081 \begin_layout Plain Layout
11082 \begin_inset Formula $A\hspace{1em}B$
11092 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11095 \begin_layout Plain Layout
11099 \begin_inset space \textvisiblespace{}
11107 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11110 \begin_layout Plain Layout
11116 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11119 \begin_layout Plain Layout
11120 \begin_inset Formula $A\ B$
11130 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11133 \begin_layout Plain Layout
11141 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11144 \begin_layout Plain Layout
11150 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
11153 \begin_layout Plain Layout
11154 \begin_inset Formula $A\!B$
11170 \begin_layout Standard
11174 \begin_inset space \thinspace{}
11182 \begin_inset space \thinspace{}
11192 \begin_inset CommandInset ref
11194 reference "subsec:可変長の空白"
11198 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
11200 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.
11203 \begin_layout Standard
11205 \begin_inset Tabular
11206 <lyxtabular version="3" rows="3" columns="3">
11207 <features booktabs="true" tabularvalignment="middle">
11208 <column alignment="center" valignment="middle" width="6.8cm">
11209 <column alignment="center" valignment="top" width="0pt">
11210 <column alignment="center" valignment="top" width="0pt">
11212 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11215 \begin_layout Plain Layout
11221 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11224 \begin_layout Plain Layout
11232 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
11235 \begin_layout Plain Layout
11245 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11248 \begin_layout Plain Layout
11258 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11261 \begin_layout Plain Layout
11267 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
11270 \begin_layout Plain Layout
11278 <cell multicolumn="1" alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11281 \begin_layout Plain Layout
11287 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11290 \begin_layout Plain Layout
11291 \begin_inset Formula $A\negmedspace B$
11299 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
11302 \begin_layout Plain Layout
11303 \begin_inset Formula $A\negthickspace B$
11319 \begin_layout Standard
11320 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.
11323 \begin_layout Standard
11325 \begin_inset Tabular
11326 <lyxtabular version="3" rows="3" columns="2">
11327 <features booktabs="true" tabularvalignment="middle">
11328 <column alignment="center" valignment="top" width="0pt">
11329 <column alignment="center" valignment="top">
11331 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11334 \begin_layout Plain Layout
11340 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
11343 \begin_layout Plain Layout
11351 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11354 \begin_layout Plain Layout
11360 \begin_inset space \textvisiblespace{}
11368 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11371 \begin_layout Plain Layout
11372 \begin_inset Formula $\sum\sum f_{kl}$
11382 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11385 \begin_layout Plain Layout
11393 \begin_inset space \textvisiblespace{}
11401 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
11404 \begin_layout Plain Layout
11405 \begin_inset Formula $\sum\negmedspace\sum f_{kl}$
11421 \begin_layout Standard
11423 \begin_inset VSpace medskip
11429 \begin_layout Standard
11431 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
11432 括弧で囲みます.以下の例にこれを示します.
11435 \begin_layout Standard
11437 \begin_inset Tabular
11438 <lyxtabular version="3" rows="2" columns="2">
11439 <features booktabs="true" tabularvalignment="middle">
11440 <column alignment="center" valignment="top" width="0pt">
11441 <column alignment="center" valignment="top" width="0pt">
11443 <cell alignment="center" valignment="top" usebox="none">
11446 \begin_layout Plain Layout
11452 <cell alignment="center" valignment="top" usebox="none">
11455 \begin_layout Plain Layout
11456 \begin_inset Formula $A=B$
11466 <cell alignment="center" valignment="top" usebox="none">
11469 \begin_layout Plain Layout
11475 <cell multicolumn="1" alignment="center" valignment="top" usebox="none">
11478 \begin_layout Plain Layout
11479 \begin_inset Formula $A{=}B$
11495 \begin_layout Standard
11502 \begin_inset Formula $\to$
11510 \begin_layout Standard
11511 \begin_inset VSpace bigskip
11514 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
11515 整形\SpecialChar menuseparator
11517 \begin_inset Flex Ruby
11520 \begin_layout Plain Layout
11522 \begin_inset Argument post:1
11525 \begin_layout Plain Layout
11539 arg "space-insert thin"
11542 )で,最小の空白を挿入することができます.
11545 \begin_layout Standard
11549 \begin_layout Standard
11550 \begin_inset Tabular
11551 <lyxtabular version="3" rows="2" columns="2">
11552 <features tabularvalignment="middle">
11553 <column alignment="left" valignment="top">
11554 <column alignment="left" valignment="top">
11556 <cell alignment="center" valignment="top" usebox="none">
11559 \begin_layout Plain Layout
11561 \begin_inset Formula $\cdot$
11569 <cell alignment="center" valignment="top" usebox="none">
11572 \begin_layout Plain Layout
11573 値と単位のあいだに通常の空白を入れた例
11580 <cell alignment="center" valignment="top" usebox="none">
11583 \begin_layout Plain Layout
11585 \begin_inset space \thinspace{}
11589 \begin_inset Formula $\cdot$
11597 <cell alignment="center" valignment="top" usebox="none">
11600 \begin_layout Plain Layout
11601 値と単位のあいだに最小の空白を入れた例
11614 \begin_layout Subsection
11619 \begin_layout Plain Layout
11632 \begin_layout Plain Layout
11634 \begin_inset CommandInset ref
11636 reference "subsec:行間"
11649 \begin_layout Plain Layout
11657 \begin_inset Note Note
11660 \begin_layout Plain Layout
11663 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.
11666 \begin_layout Plain Layout
11669 texorpdfstringについての詳細は,第
11670 \begin_inset CommandInset ref
11672 reference "subsec:節見出し中の数式"
11682 \begin_inset CommandInset label
11684 name "subsec:可変長の空白"
11689 \begin_inset Index idx
11692 \begin_layout Plain Layout
11694 \begin_inset space \thinspace{}
11705 \begin_layout Standard
11713 \begin_inset Index idx
11716 \begin_layout Plain Layout
11724 コマンドで入力することができます.すると,ながい「
11727 \begin_inset space \textvisiblespace{}
11735 \begin_inset space \textvisiblespace{}
11740 」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
11757 \begin_inset space \textvisiblespace{}
11768 \begin_inset Newline newline
11771 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,
11778 \begin_inset Index idx
11781 \begin_layout Plain Layout
11792 \begin_layout Standard
11794 \begin_inset Tabular
11795 <lyxtabular version="3" rows="4" columns="2">
11796 <features booktabs="true" tabularvalignment="middle">
11797 <column alignment="center" valignment="top" width="0pt">
11798 <column alignment="center" valignment="top">
11800 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11803 \begin_layout Plain Layout
11811 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
11814 \begin_layout Plain Layout
11822 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11825 \begin_layout Plain Layout
11829 \begin_inset space \textvisiblespace{}
11835 \begin_inset space \thinspace{}
11843 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11846 \begin_layout Plain Layout
11847 \begin_inset Formula $A=B\hspace{3cm}A\not=C$
11857 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11860 \begin_layout Plain Layout
11864 \begin_inset space \textvisiblespace{}
11870 \begin_inset space \thinspace{}
11878 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11881 \begin_layout Plain Layout
11882 \begin_inset Formula $A\hspace{-1mm}A\not=A$
11892 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11895 \begin_layout Plain Layout
11899 \begin_inset space \textvisiblespace{}
11907 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
11910 \begin_layout Plain Layout
11911 \begin_inset Formula $A=A\hfill B=B$
11927 \begin_layout Standard
11928 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,
11934 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
11944 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
11945 \begin_inset CommandInset ref
11947 reference "sec:数式様式"
11954 \begin_layout Standard
11973 といったコマンドがあります.用例については第
11974 \begin_inset CommandInset ref
11976 reference "subsec:省略符号"
11983 \begin_layout Standard
11986 挿入\SpecialChar menuseparator
11987 整形\SpecialChar menuseparator
11993 \begin_layout Standard
11997 \begin_layout Standard
11999 \begin_inset space \hspace{}
12004 \begin_inset space \thinspace{}
12010 \begin_layout Standard
12012 \begin_inset space \hfill{}
12018 \begin_layout Subsection
12020 \begin_inset Index idx
12023 \begin_layout Plain Layout
12024 くうはく@空白 ! ぎょうないすうしきまわり@行内数式周り
12032 \begin_layout Standard
12038 \begin_inset Index idx
12041 \begin_layout Plain Layout
12051 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
12056 \begin_inset Index idx
12059 \begin_layout Plain Layout
12069 コマンドを使って設定することができます.
12072 \begin_layout Standard
12080 \begin_layout Standard
12088 \begin_inset space \thinspace{}
12091 mmの値に設定するには,以下のコマンド
12094 \begin_layout Standard
12104 \begin_layout Standard
12107 \begin_inset space \thinspace{}
12110 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.
12114 \begin_layout Plain Layout
12128 \begin_layout Standard
12130 \begin_inset space \thinspace{}
12134 \begin_inset Formula $A=B$
12141 \begin_layout Plain Layout
12155 \begin_layout Standard
12163 \begin_inset space \thinspace{}
12169 \begin_layout Section
12171 \begin_inset Index idx
12174 \begin_layout Plain Layout
12181 \begin_inset Index idx
12184 \begin_layout Plain Layout
12189 \begin_layout Plain Layout
12200 \begin_layout Plain Layout
12215 \begin_layout Standard
12216 本文中のボックスについては,取扱説明書
12227 \begin_layout Subsection
12229 \begin_inset CommandInset label
12231 name "subsec:枠付きボックス"
12236 \begin_inset Index idx
12239 \begin_layout Plain Layout
12240 ぼっくす@ボックス ! わくつき@枠付き
12241 \begin_inset space \thinspace{}
12252 \begin_layout Standard
12260 \begin_inset Index idx
12263 \begin_layout Plain Layout
12278 \begin_inset Index idx
12281 \begin_layout Plain Layout
12289 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.
12292 \begin_layout Standard
12293 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.
12299 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,
12303 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.
12309 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.
12312 \begin_layout Standard
12319 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
12325 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.
12328 \begin_layout Standard
12335 の拡張として,枠幅と配置も指定することができる
12342 \begin_inset Index idx
12345 \begin_layout Plain Layout
12362 \begin_layout Standard
12367 framebox[枠幅][位置]{ボックスの内容}
12370 \begin_layout Standard
12387 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.
12388 \begin_inset Newline newline
12391 「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,
12397 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.
12400 \begin_layout Standard
12407 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,
12413 同様,数式の断片を入れるためのものです.
12416 \begin_layout Standard
12418 \begin_inset Tabular
12419 <lyxtabular version="3" rows="5" columns="2">
12420 <features booktabs="true" tabularvalignment="middle">
12421 <column alignment="center" valignment="top" width="0pt">
12422 <column alignment="center" valignment="top">
12424 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
12427 \begin_layout Plain Layout
12433 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
12436 \begin_layout Plain Layout
12443 <row topspace="1.5mm">
12444 <cell alignment="center" valignment="top" usebox="none">
12447 \begin_layout Plain Layout
12451 \begin_inset space \textvisiblespace{}
12461 \begin_inset space \textvisiblespace{}
12469 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12472 \begin_layout Plain Layout
12473 \begin_inset Formula $\fbox{\ensuremath{\int A=B}}$
12482 <row topspace="1.5mm">
12483 <cell alignment="center" valignment="top" usebox="none">
12486 \begin_layout Plain Layout
12490 \begin_inset space \textvisiblespace{}
12496 \begin_inset space \textvisiblespace{}
12504 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12507 \begin_layout Plain Layout
12508 \begin_inset Formula $\boxed{\int A=B}$
12517 <row topspace="1.5mm">
12518 <cell alignment="center" valignment="top" usebox="none">
12521 \begin_layout Plain Layout
12525 \begin_inset space \textvisiblespace{}
12533 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12536 \begin_layout Plain Layout
12537 \begin_inset Formula $A+\fbox{B}$
12546 <row topspace="1.5mm" bottomspace="1mm">
12547 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
12550 \begin_layout Plain Layout
12554 \begin_inset space \textvisiblespace{}
12558 \begin_inset Formula $\to$
12562 \begin_inset Formula $\to$
12572 \begin_inset space \textvisiblespace{}
12576 \begin_inset Formula $\downarrow$
12584 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
12587 \begin_layout Plain Layout
12588 \begin_inset Formula $\framebox[20mm][]{\ensuremath{\frac{A}{B}}}$
12604 \begin_layout Standard
12605 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
12609 \begin_layout Standard
12619 \begin_inset Quotes eld
12623 \begin_inset Quotes erd
12637 \begin_inset Quotes eld
12641 \begin_inset Quotes erd
12647 \begin_layout Standard
12648 \begin_inset Quotes eld
12652 \begin_inset Quotes erd
12655 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.
12659 \begin_layout Plain Layout
12671 \begin_inset Formula
12681 \begin_layout Standard
12703 \begin_layout Standard
12704 というコマンドが,\SpecialChar TeX
12705 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.
12708 \begin_layout Standard
12712 \begin_layout Standard
12737 \begin_layout Plain Layout
12751 \begin_layout Standard
12752 というコマンドを,次の数式が始まる前に\SpecialChar TeX
12756 \begin_layout Subsection
12758 \begin_inset CommandInset label
12760 name "subsec:枠なしボックス"
12765 \begin_inset Index idx
12768 \begin_layout Plain Layout
12769 ぼっくす@ボックス ! わくなし@枠なし
12770 \begin_inset space \thinspace{}
12781 \begin_layout Standard
12789 \begin_inset Index idx
12792 \begin_layout Plain Layout
12807 \begin_inset Index idx
12810 \begin_layout Plain Layout
12825 \begin_inset Index idx
12828 \begin_layout Plain Layout
12839 \begin_layout Standard
12846 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.
12855 \begin_layout Standard
12860 raisebox{高さ}{ボックスの内容}
12863 \begin_layout Standard
12870 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.
12871 \begin_inset Note Greyedout
12874 \begin_layout Plain Layout
12889 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
12904 \begin_layout Standard
12906 \begin_inset Tabular
12907 <lyxtabular version="3" rows="4" columns="2">
12908 <features booktabs="true" tabularvalignment="middle">
12909 <column alignment="center" valignment="top" width="0pt">
12910 <column alignment="center" valignment="top">
12912 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
12915 \begin_layout Plain Layout
12921 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
12924 \begin_layout Plain Layout
12932 <cell alignment="center" valignment="top" leftline="true" usebox="none">
12935 \begin_layout Plain Layout
12939 \begin_inset Formula $\to$
12945 \begin_inset Formula $\to$
12953 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12956 \begin_layout Plain Layout
12957 \begin_inset Formula $H\raisebox{2mm}{al}lo$
12967 <cell alignment="center" valignment="top" leftline="true" usebox="none">
12970 \begin_layout Plain Layout
12974 \begin_inset Formula $\to$
12980 \begin_inset Formula $\to$
12988 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12991 \begin_layout Plain Layout
12992 \begin_inset Formula $H\raisebox{-2mm}{al}lo$
13002 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
13005 \begin_layout Plain Layout
13009 \begin_inset Formula $\to$
13021 \begin_inset space \textvisiblespace{}
13029 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
13032 \begin_layout Plain Layout
13033 \begin_inset Formula $A=\raisebox{-2mm}{\mbox{\ensuremath{\sqrt{B}}}}$
13049 \begin_layout Standard
13077 \begin_layout Subsection
13079 \begin_inset CommandInset label
13081 name "subsec:色付きボックス"
13086 \begin_inset Index idx
13089 \begin_layout Plain Layout
13090 ぼっくす@ボックス ! いろつき@色付き
13091 \begin_inset space \thinspace{}
13102 \begin_layout Standard
13103 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
13107 \begin_layout Standard
13115 \begin_layout Standard
13120 \begin_layout Plain Layout
13121 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
13122 は,自動的に\SpecialChar LaTeX
13127 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.
13133 \begin_inset Note Note
13136 \begin_layout Plain Layout
13137 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
13138 プリアンブルにマクロを挿入してあります.
13143 を書き加えて,\SpecialChar LaTeX
13152 \begin_layout Plain Layout
13158 は,すべての標準的な\SpecialChar LaTeX
13165 \begin_inset Index idx
13168 \begin_layout Plain Layout
13169 ぱっけーじ@パッケージ ! color
13177 \begin_layout Standard
13178 \begin_inset VSpace medskip
13188 \begin_inset Index idx
13191 \begin_layout Plain Layout
13202 \begin_layout Standard
13207 colorbox{色}{ボックスの内容}
13210 \begin_layout Standard
13211 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,
13217 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,
13223 と同様,明示的に数式を作らなくてはなりません
13227 \begin_layout Plain Layout
13242 \begin_layout Standard
13246 \begin_layout Standard
13282 \begin_layout Standard
13286 \begin_layout Standard
13288 \begin_inset Tabular
13289 <lyxtabular version="3" rows="4" columns="2">
13290 <features booktabs="true" tabularvalignment="middle">
13291 <column alignment="center" valignment="top" width="0pt">
13292 <column alignment="center" valignment="top">
13294 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
13297 \begin_layout Plain Layout
13303 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
13306 \begin_layout Plain Layout
13314 <cell alignment="center" valignment="top" leftline="true" usebox="none">
13317 \begin_layout Plain Layout
13321 \begin_inset Formula $\to$
13331 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
13334 \begin_layout Plain Layout
13335 \begin_inset Formula $\colorbox{yellow}{A=B}$
13344 <row topspace="1.5mm">
13345 <cell alignment="center" valignment="top" usebox="none">
13348 \begin_layout Plain Layout
13352 \begin_inset Formula $\to$
13360 \begin_inset space \textvisiblespace{}
13368 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
13371 \begin_layout Plain Layout
13372 \begin_inset Formula $\colorbox{green}{\fbox{A=B}}$
13381 <row topspace="1.5mm" bottomspace="1mm">
13382 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
13385 \begin_layout Plain Layout
13389 \begin_inset space \textvisiblespace{}
13395 \begin_inset Formula $\to$
13411 \begin_inset space \textvisiblespace{}
13419 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
13422 \begin_layout Plain Layout
13423 \begin_inset Formula $\fbox{\colorbox{green}{\mbox{\ensuremath{\int C=D}}}}$
13439 \begin_layout Standard
13446 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,
13450 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
13453 arg "dialog-show character"
13458 編集\SpecialChar menuseparator
13459 文字様式\SpecialChar menuseparator
13462 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
13466 \begin_layout Standard
13470 \begin_layout Standard
13473 \begin_inset Formula
13475 \int A=B\label{eq:red}
13483 \begin_inset Formula
13485 \textcolor{red}{\int A=B}\label{eq:redgreen}
13493 \begin_layout Standard
13495 \begin_inset CommandInset ref
13502 \begin_inset Newline newline
13506 \begin_inset CommandInset ref
13508 reference "eq:redgreen"
13512 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.
13515 \begin_layout Standard
13516 \begin_inset VSpace bigskip
13526 \begin_inset Index idx
13529 \begin_layout Plain Layout
13540 \begin_layout Standard
13545 fcolorbox{枠の色}{色}{ボックスの内容}
13548 \begin_layout Standard
13583 \begin_layout Plain Layout
13595 \begin_inset Formula
13597 \fcolorbox{cyan}{magenta}{A=B}
13606 \begin_layout Plain Layout
13620 \begin_layout Standard
13621 上記の数式は,以下のコマンドで作成されています.
13622 \begin_inset Newline newline
13630 \begin_inset Formula $\to$
13636 \begin_inset Formula $\to$
13646 \begin_layout Standard
13647 \begin_inset VSpace bigskip
13650 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.
13653 \begin_layout Standard
13658 」という色を定義するには,\SpecialChar LaTeX
13662 \begin_layout Standard
13667 definecolor{darkgreen}{cmyk}{0.5,
13682 \begin_inset Index idx
13685 \begin_layout Plain Layout
13696 \begin_layout Standard
13700 \begin_layout Standard
13721 (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
13722 \begin_inset space \thinspace{}
13726 \begin_inset space \thinspace{}
13729 1の範囲をとることができます.定義には,
13753 (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
13760 \begin_layout Standard
13769 という色を持つ枠付きボックスを挙げておきます.
13770 \begin_inset Formula
13772 \colorbox{darkgreen}{\color{yellow}\boxed{\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}}
13780 \begin_layout Standard
13787 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.
13788 \begin_inset Index idx
13791 \begin_layout Plain Layout
13792 てきすと@テキスト ! いろつき@色付き
13800 \begin_layout Standard
13804 \begin_layout Plain Layout
13808 textcolor{darkgreen}{
13817 \begin_layout Plain Layout
13827 \begin_layout Standard
13835 \begin_inset Index idx
13838 \begin_layout Plain Layout
13850 textcolor{色}{色付けをする文}
13855 \begin_layout Subsection
13857 \begin_inset CommandInset label
13859 name "subsec:段落ボックス"
13864 \begin_inset Index idx
13867 \begin_layout Plain Layout
13868 ぼっくす@ボックス ! だんらく@段落
13869 \begin_inset space \thinspace{}
13880 \begin_layout Standard
13881 いくつかの行や段落を含む,いわゆる段落ボックス(parbox)は,
13883 挿入\SpecialChar menuseparator
13895 \begin_layout Standard
13896 以下の例は,行中の枠付きparboxを示したものです.
13899 \begin_layout Standard
13900 \begin_inset VSpace medskip
13904 \begin_inset Box Boxed
13914 height_special "totalheight"
13919 backgroundcolor "none"
13922 \begin_layout Plain Layout
13923 これは段落ボックスです.これはちょうど5
13924 \begin_inset space \thinspace{}
13927 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.
13928 \begin_inset Formula $\int A\,\mathrm{d}s=C$
13939 \begin_layout Standard
13940 \begin_inset VSpace medskip
13946 \begin_layout Standard
13947 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,
13960 \begin_inset space \thinspace{}
13970 \begin_layout Standard
13971 \begin_inset VSpace medskip
13975 では,parboxは,以下の書式を持つ
13982 \begin_inset Index idx
13985 \begin_layout Plain Layout
13996 \begin_layout Standard
14001 parbox[位置]{幅}{ボックスの内容}
14004 \begin_layout Standard
14013 の値をとることができます.下揃えを意味する
14017 (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
14021 (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
14028 \begin_layout Standard
14029 \begin_inset VSpace bigskip
14032 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
14048 \begin_inset Index idx
14051 \begin_layout Plain Layout
14061 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
14062 うためには,\SpecialChar LaTeX
14071 \begin_layout Plain Layout
14076 は,標準的\SpecialChar LaTeX
14083 \begin_inset Index idx
14086 \begin_layout Plain Layout
14092 を,\SpecialChar LaTeX
14096 \begin_layout Standard
14104 \begin_layout Standard
14105 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
14110 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.
14114 \begin_layout Plain Layout
14128 \begin_layout Standard
14132 \begin_layout Plain Layout
14150 \begin_inset Formula
14152 \int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}
14161 \begin_layout Plain Layout
14172 \begin_layout Plain Layout
14186 \begin_layout Standard
14187 \begin_inset VSpace medskip
14196 の引数としてparboxが使われているので,この場合には,
14211 \begin_layout Standard
14212 \begin_inset VSpace bigskip
14215 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,
14234 \begin_inset CommandInset ref
14236 reference "subsec:自己定義番号"
14243 \begin_layout Standard
14250 を使ってコメントを付けた数式の例です.
14253 \begin_layout Standard
14257 \begin_layout Plain Layout
14270 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.
14274 \begin_layout Plain Layout
14286 \begin_layout Standard
14294 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
14295 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.
14298 \begin_layout Standard
14311 というコマンドを\SpecialChar TeX
14316 \begin_layout Plain Layout
14335 を用いることもできます(数式様式に関しては,第
14336 \begin_inset CommandInset ref
14338 reference "sec:数式様式"
14347 .それから,説明を通常のテキストとして入れ,最後に
14366 コマンドは別行立て数式を作るためのものです.
14369 \begin_layout Standard
14376 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.
14377 \begin_inset Formula
14379 5x-7b=3b\textrm{これは説明です。数式本体から離れていません...}
14387 \begin_layout Section
14389 \begin_inset Index idx
14392 \begin_layout Plain Layout
14401 \begin_layout Subsection
14403 \begin_inset CommandInset label
14410 \begin_inset Index idx
14413 \begin_layout Plain Layout
14415 \begin_inset space \thinspace{}
14424 \begin_inset Index idx
14427 \begin_layout Plain Layout
14434 \begin_inset Index idx
14437 \begin_layout Plain Layout
14446 \begin_layout Standard
14447 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
14455 オプションを有効にしなくてはなりません.
14458 \begin_layout Standard
14459 \begin_inset space \hfill{}
14463 \begin_inset Tabular
14464 <lyxtabular version="3" rows="11" columns="2">
14465 <features booktabs="true" tabularvalignment="middle">
14466 <column alignment="center" valignment="top" width="0pt">
14467 <column alignment="center" valignment="top" width="0pt">
14469 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
14472 \begin_layout Plain Layout
14478 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
14481 \begin_layout Plain Layout
14489 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14492 \begin_layout Plain Layout
14496 \begin_inset Index idx
14499 \begin_layout Plain Layout
14512 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14515 \begin_layout Plain Layout
14516 \begin_inset Formula $\int$
14526 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14529 \begin_layout Plain Layout
14537 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14540 \begin_layout Plain Layout
14541 \begin_inset Formula $\oint$
14551 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14554 \begin_layout Plain Layout
14562 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14565 \begin_layout Plain Layout
14566 \begin_inset Formula $\ointctrclockwise$
14576 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14579 \begin_layout Plain Layout
14587 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14590 \begin_layout Plain Layout
14591 \begin_inset Formula $\ointclockwise$
14601 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14604 \begin_layout Plain Layout
14612 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14615 \begin_layout Plain Layout
14616 \begin_inset Formula $\sqint$
14626 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14629 \begin_layout Plain Layout
14637 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14640 \begin_layout Plain Layout
14642 \begin_inset Formula $\fint$
14652 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14655 \begin_layout Plain Layout
14663 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14666 \begin_layout Plain Layout
14668 \begin_inset Formula $\landupint$
14678 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14681 \begin_layout Plain Layout
14689 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14692 \begin_layout Plain Layout
14694 \begin_inset Formula $\landdownint$
14704 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14707 \begin_layout Plain Layout
14715 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14718 \begin_layout Plain Layout
14719 \begin_inset Formula $\bigcap$
14729 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
14732 \begin_layout Plain Layout
14740 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
14743 \begin_layout Plain Layout
14744 \begin_inset Formula $\bigcup$
14758 \begin_inset space \hfill{}
14762 \begin_inset Tabular
14763 <lyxtabular version="3" rows="11" columns="2">
14764 <features booktabs="true" tabularvalignment="middle">
14765 <column alignment="center" valignment="top" width="0pt">
14766 <column alignment="center" valignment="top" width="0pt">
14768 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
14771 \begin_layout Plain Layout
14777 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
14780 \begin_layout Plain Layout
14788 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14791 \begin_layout Plain Layout
14795 \begin_inset Index idx
14798 \begin_layout Plain Layout
14811 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14814 \begin_layout Plain Layout
14815 \begin_inset Formula $\sum$
14825 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14828 \begin_layout Plain Layout
14832 \begin_inset Index idx
14835 \begin_layout Plain Layout
14848 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14851 \begin_layout Plain Layout
14852 \begin_inset Formula $\prod$
14862 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14865 \begin_layout Plain Layout
14873 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14876 \begin_layout Plain Layout
14877 \begin_inset Formula $\coprod$
14887 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14890 \begin_layout Plain Layout
14898 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14901 \begin_layout Plain Layout
14902 \begin_inset Formula $\bigodot$
14912 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14915 \begin_layout Plain Layout
14923 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14926 \begin_layout Plain Layout
14927 \begin_inset Formula $\bigotimes$
14937 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14940 \begin_layout Plain Layout
14948 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14951 \begin_layout Plain Layout
14952 \begin_inset Formula $\bigoplus$
14962 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14965 \begin_layout Plain Layout
14973 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14976 \begin_layout Plain Layout
14977 \begin_inset Formula $\bigwedge$
14987 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14990 \begin_layout Plain Layout
14998 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
15001 \begin_layout Plain Layout
15002 \begin_inset Formula $\bigvee$
15012 <cell alignment="center" valignment="top" leftline="true" usebox="none">
15015 \begin_layout Plain Layout
15023 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
15026 \begin_layout Plain Layout
15027 \begin_inset Formula $\bigsqcup$
15037 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
15040 \begin_layout Plain Layout
15048 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
15051 \begin_layout Plain Layout
15052 \begin_inset Formula $\biguplus$
15066 \begin_inset space \hfill{}
15072 \begin_layout Standard
15073 すべての大演算子は,数式ツールバーボタンの
15076 arg "math-insert \\intop"
15082 \begin_layout Standard
15083 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.
15086 \begin_layout Standard
15103 で終わる別バージョンがあります.これらの演算子は,
15109 とは範囲の表示のしかたが異なります.第
15110 \begin_inset CommandInset ref
15112 reference "subsec:演算子の範囲"
15119 \begin_layout Subsubsection*
15123 \begin_layout Standard
15128 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
15133 \begin_inset Flex Ruby
15136 \begin_layout Plain Layout
15138 \begin_inset Argument post:1
15141 \begin_layout Plain Layout
15162 \begin_layout Plain Layout
15164 \begin_inset CommandInset ref
15166 reference "subsec:書体様式"
15179 の前に最小空白を挿入しなくてはなりません.たとえば,
15182 \begin_layout Standard
15184 \begin_inset Formula $\int A(x)dx$
15188 \begin_inset Newline newline
15192 \begin_inset Phantom HPhantom
15195 \begin_layout Plain Layout
15202 \begin_inset Formula $\int A(x)\,\mathrm{d}x$
15208 \begin_layout Standard
15209 多重積分に関しては,以下のコマンドがあります.
15210 \begin_inset VSpace medskip
15216 \begin_layout Standard
15217 \begin_inset space \hfill{}
15221 \begin_inset Tabular
15222 <lyxtabular version="3" rows="4" columns="2">
15223 <features booktabs="true" tabularvalignment="middle">
15224 <column alignment="center" valignment="top" width="0pt">
15225 <column alignment="center" valignment="top" width="0pt">
15227 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
15230 \begin_layout Plain Layout
15236 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
15239 \begin_layout Plain Layout
15246 <row bottomspace="1mm">
15247 <cell alignment="center" valignment="top" usebox="none">
15250 \begin_layout Plain Layout
15258 <cell alignment="center" valignment="top" usebox="none">
15261 \begin_layout Plain Layout
15262 \begin_inset Formula $\iint$
15271 <row bottomspace="1mm">
15272 <cell alignment="center" valignment="top" usebox="none">
15275 \begin_layout Plain Layout
15283 <cell alignment="center" valignment="top" usebox="none">
15286 \begin_layout Plain Layout
15287 \begin_inset Formula $\oiint$
15296 <row bottomspace="1mm">
15297 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15300 \begin_layout Plain Layout
15308 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15311 \begin_layout Plain Layout
15312 \begin_inset Formula $\sqiint$
15326 \begin_inset space \hfill{}
15330 \begin_inset Tabular
15331 <lyxtabular version="3" rows="4" columns="2">
15332 <features booktabs="true" tabularvalignment="middle">
15333 <column alignment="center" valignment="top" width="0pt">
15334 <column alignment="center" valignment="top" width="0pt">
15336 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
15339 \begin_layout Plain Layout
15345 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
15348 \begin_layout Plain Layout
15355 <row bottomspace="1mm">
15356 <cell alignment="center" valignment="top" usebox="none">
15359 \begin_layout Plain Layout
15367 <cell alignment="center" valignment="top" usebox="none">
15370 \begin_layout Plain Layout
15371 \begin_inset Formula $\iiint$
15380 <row bottomspace="1mm">
15381 <cell alignment="center" valignment="top" usebox="none">
15384 \begin_layout Plain Layout
15392 <cell alignment="center" valignment="top" usebox="none">
15395 \begin_layout Plain Layout
15396 \begin_inset Formula $\iiiint$
15405 <row bottomspace="1mm">
15406 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15409 \begin_layout Plain Layout
15417 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15420 \begin_layout Plain Layout
15421 \begin_inset Formula $\dotsint$
15435 \begin_inset space \hfill{}
15441 \begin_layout Subsection
15443 \begin_inset CommandInset label
15445 name "subsec:演算子の範囲"
15450 \begin_inset Index idx
15453 \begin_layout Plain Layout
15462 \begin_layout Standard
15463 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.
15466 \begin_layout Standard
15468 \begin_inset Tabular
15469 <lyxtabular version="3" rows="2" columns="2">
15470 <features booktabs="true" tabularvalignment="middle">
15471 <column alignment="center" valignment="top" width="0pt">
15472 <column alignment="center" valignment="top" width="0pt">
15474 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
15477 \begin_layout Plain Layout
15483 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
15486 \begin_layout Plain Layout
15494 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15497 \begin_layout Plain Layout
15503 \begin_inset space \textvisiblespace{}
15507 \begin_inset Formula $\to$
15511 \begin_inset Formula $\to$
15519 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15522 \begin_layout Plain Layout
15523 \begin_inset Formula $\prod_{0}^{\infty}A(x)$
15539 \begin_layout Standard
15540 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.
15543 \begin_layout Standard
15544 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,
15546 編集\SpecialChar menuseparator
15547 数式\SpecialChar menuseparator
15557 \begin_inset Flex Ruby
15560 \begin_layout Plain Layout
15562 \begin_inset Argument post:1
15565 \begin_layout Plain Layout
15582 )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.
15585 \begin_layout Standard
15586 既定の範囲形式は,以下のようになっています.
15587 \begin_inset Formula
15589 \sum_{x=0}^{\infty}\frac{1}{x^{2}}
15601 \begin_inset Formula
15603 \sum\nolimits _{x=0}^{\infty}\frac{1}{x^{2}}
15624 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
15629 にして積分記号の下に置くようにしています.
15630 \begin_inset Formula
15632 \iiint\limits _{V}X\,\mathrm{d}V=U\label{eq:VolInt}
15640 \begin_layout Standard
15641 \begin_inset VSpace medskip
15651 \begin_inset Index idx
15654 \begin_layout Plain Layout
15669 \begin_inset Index idx
15672 \begin_layout Plain Layout
15680 コマンドを使用します.たとえば,以下の表記
15681 \begin_inset Formula
15683 \sum_{\begin{subarray}{c}
15687 \end{subarray}}^{n}k^{-2}\label{eq:substack}
15695 \begin_layout Standard
15696 を作成するには,以下のようにしなくてはなりません.
15697 \begin_inset Newline newline
15709 \begin_inset space \textvisiblespace{}
15714 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
15719 \begin_inset space \textvisiblespace{}
15724 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(
15727 arg "newline-insert newline"
15730 )を挿入することで作ることができます.ここに
15731 \begin_inset Newline newline
15737 \begin_inset Formula $\boldsymbol{<}$
15741 \begin_inset Formula $\boldsymbol{<}$
15745 \begin_inset Newline newline
15750 と入力すると,新規行のための新しい枠が現れます.
15753 \begin_layout Standard
15760 編集\SpecialChar menuseparator
15763 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
15768 \begin_inset space \textvisiblespace{}
15776 \begin_layout Standard
15783 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,
15792 \begin_layout Standard
15793 \begin_inset VSpace bigskip
15796 演算子の後に来る文字は,範囲の横に来るので,
15797 \begin_inset CommandInset ref
15799 reference "eq:substack"
15803 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
15810 \begin_inset Index idx
15813 \begin_layout Plain Layout
15821 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
15830 \begin_inset Index idx
15833 \begin_layout Plain Layout
15834 ぱっけーじ@パッケージ ! mathtools
15852 \begin_inset space \thinspace{}
15860 \begin_inset Newline newline
15866 \begin_inset CommandInset ref
15868 reference "eq:substack"
15875 \begin_layout Standard
15883 \begin_layout Standard
15884 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:
15885 \begin_inset Formula
15887 \sum_{\mathclap{\substack{0<k<1000\\
15899 \begin_inset space \thinspace{}
15904 ptにすることも可能です.そのためには,
15927 \begin_layout Standard
15928 \begin_inset Formula
15930 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}
15938 \begin_layout Standard
15939 \begin_inset VSpace bigskip
15945 \begin_layout Standard
15946 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.
15947 \begin_inset Formula
15949 \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}
15963 \begin_inset Index idx
15966 \begin_layout Plain Layout
15967 ぱっけーじ@パッケージ ! mathtools
15976 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,
15983 \begin_inset Index idx
15986 \begin_layout Plain Layout
15994 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.
15995 \begin_inset Formula
15997 \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}
16005 \begin_layout Standard
16006 \begin_inset VSpace bigskip
16009 一つの範囲を複数の演算子に用いる方法が,第
16010 \begin_inset CommandInset ref
16012 reference "subsec:自己定義演算子"
16019 \begin_layout Subsection
16021 \begin_inset Index idx
16024 \begin_layout Plain Layout
16025 えんざんし@演算子 ! しゅうしょく@修飾
16033 \begin_layout Standard
16041 \begin_inset Index idx
16044 \begin_layout Plain Layout
16059 \begin_inset Index idx
16062 \begin_layout Plain Layout
16070 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,
16077 \begin_inset Index idx
16080 \begin_layout Plain Layout
16088 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.
16091 \begin_layout Standard
16101 \begin_layout Itemize
16108 は,演算子の隅に文字を置くのに用います.
16111 \begin_layout Itemize
16118 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
16128 \begin_layout Itemize
16135 は,演算子の左隅と後ろに文字を置くのに用います.
16138 \begin_layout Itemize
16145 は,演算子の右隅と前に文字を置くのに用います.
16148 \begin_layout Standard
16154 \begin_inset space \textvisiblespace{}
16160 \begin_inset space \textvisiblespace{}
16164 \begin_inset Formula $\to$
16168 \begin_inset Formula $\to$
16172 \begin_inset space \textvisiblespace{}
16182 \begin_inset Formula
16184 \sideset{}{'}\sum_{k=1}^{n}
16192 \begin_layout Standard
16193 \begin_inset Note Greyedout
16196 \begin_layout Plain Layout
16203 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.
16211 \begin_layout Standard
16212 のようになります.最後の例からわかるように,
16224 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,
16229 \begin_inset space \textvisiblespace{}
16235 \begin_inset space \textvisiblespace{}
16241 \begin_inset Formula $\uparrow$
16249 \begin_inset Formula
16251 \overset{a}{\maltese}
16259 \begin_layout Subsection
16261 \begin_inset CommandInset label
16263 name "subsec:二項演算子"
16268 \begin_inset Index idx
16271 \begin_layout Plain Layout
16273 \begin_inset space \thinspace{}
16284 \begin_layout Standard
16285 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.
16286 \begin_inset VSpace medskip
16292 \begin_layout Standard
16293 \begin_inset Tabular
16294 <lyxtabular version="3" rows="13" columns="2">
16295 <features booktabs="true" tabularvalignment="middle">
16296 <column alignment="center" valignment="top" width="0pt">
16297 <column alignment="center" valignment="top" width="0pt">
16299 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
16302 \begin_layout Plain Layout
16304 \begin_inset Note Note
16307 \begin_layout Plain Layout
16314 はスペーサーとして使用しているだけです.
16324 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
16327 \begin_layout Plain Layout
16335 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16338 \begin_layout Plain Layout
16344 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16347 \begin_layout Plain Layout
16348 \begin_inset Formula $+$
16358 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16361 \begin_layout Plain Layout
16367 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16370 \begin_layout Plain Layout
16371 \begin_inset Formula $-$
16381 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16384 \begin_layout Plain Layout
16392 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16395 \begin_layout Plain Layout
16396 \begin_inset Formula $\pm$
16406 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16409 \begin_layout Plain Layout
16417 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16420 \begin_layout Plain Layout
16421 \begin_inset Formula $\mp$
16431 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16434 \begin_layout Plain Layout
16442 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16445 \begin_layout Plain Layout
16446 \begin_inset Formula $\cdot$
16456 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16459 \begin_layout Plain Layout
16467 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16470 \begin_layout Plain Layout
16471 \begin_inset Formula $\times$
16481 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16484 \begin_layout Plain Layout
16492 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16495 \begin_layout Plain Layout
16496 \begin_inset Formula $\div$
16506 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16509 \begin_layout Plain Layout
16513 \begin_layout Plain Layout
16526 \begin_layout Plain Layout
16538 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16541 \begin_layout Plain Layout
16542 \begin_inset Formula $*$
16552 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16555 \begin_layout Plain Layout
16563 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16566 \begin_layout Plain Layout
16567 \begin_inset Formula $\star$
16577 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16580 \begin_layout Plain Layout
16588 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16591 \begin_layout Plain Layout
16592 \begin_inset Formula $\circ$
16602 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16605 \begin_layout Plain Layout
16613 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16616 \begin_layout Plain Layout
16617 \begin_inset Formula $\diamond$
16627 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
16630 \begin_layout Plain Layout
16638 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
16641 \begin_layout Plain Layout
16642 \begin_inset Formula $\bullet$
16656 \begin_inset space \hfill{}
16660 \begin_inset Tabular
16661 <lyxtabular version="3" rows="13" columns="2">
16662 <features booktabs="true" tabularvalignment="middle">
16663 <column alignment="center" valignment="top" width="0pt">
16664 <column alignment="center" valignment="top" width="0pt">
16666 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
16669 \begin_layout Plain Layout
16675 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
16678 \begin_layout Plain Layout
16686 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16689 \begin_layout Plain Layout
16697 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16700 \begin_layout Plain Layout
16701 \begin_inset Formula $\nabla$
16711 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16714 \begin_layout Plain Layout
16722 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16725 \begin_layout Plain Layout
16726 \begin_inset Formula $\bigtriangledown$
16736 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16739 \begin_layout Plain Layout
16747 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16750 \begin_layout Plain Layout
16751 \begin_inset Formula $\bigtriangleup$
16761 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16764 \begin_layout Plain Layout
16772 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16775 \begin_layout Plain Layout
16776 \begin_inset Formula $\Box$
16786 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16789 \begin_layout Plain Layout
16797 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16800 \begin_layout Plain Layout
16801 \begin_inset Formula $\cap$
16811 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16814 \begin_layout Plain Layout
16822 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16825 \begin_layout Plain Layout
16826 \begin_inset Formula $\cup$
16836 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16839 \begin_layout Plain Layout
16847 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16850 \begin_layout Plain Layout
16851 \begin_inset Formula $\dagger$
16861 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16864 \begin_layout Plain Layout
16872 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16875 \begin_layout Plain Layout
16876 \begin_inset Formula $\ddagger$
16886 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16889 \begin_layout Plain Layout
16897 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16900 \begin_layout Plain Layout
16901 \begin_inset Formula $\wr$
16911 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16914 \begin_layout Plain Layout
16922 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16925 \begin_layout Plain Layout
16926 \begin_inset Formula $\bigcirc$
16936 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16939 \begin_layout Plain Layout
16947 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16950 \begin_layout Plain Layout
16951 \begin_inset Formula $\wedge$
16961 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
16964 \begin_layout Plain Layout
16972 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
16975 \begin_layout Plain Layout
16976 \begin_inset Formula $\vee$
16990 \begin_inset space \hfill{}
16994 \begin_inset Tabular
16995 <lyxtabular version="3" rows="13" columns="2">
16996 <features booktabs="true" tabularvalignment="middle">
16997 <column alignment="center" valignment="top" width="0pt">
16998 <column alignment="center" valignment="top" width="0pt">
17000 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
17003 \begin_layout Plain Layout
17009 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
17012 \begin_layout Plain Layout
17020 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17023 \begin_layout Plain Layout
17031 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17034 \begin_layout Plain Layout
17035 \begin_inset Formula $\oplus$
17045 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17048 \begin_layout Plain Layout
17056 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17059 \begin_layout Plain Layout
17060 \begin_inset Formula $\ominus$
17070 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17073 \begin_layout Plain Layout
17081 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17084 \begin_layout Plain Layout
17085 \begin_inset Formula $\otimes$
17095 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17098 \begin_layout Plain Layout
17106 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17109 \begin_layout Plain Layout
17110 \begin_inset Formula $\oslash$
17120 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17123 \begin_layout Plain Layout
17131 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17134 \begin_layout Plain Layout
17135 \begin_inset Formula $\odot$
17145 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17148 \begin_layout Plain Layout
17156 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17159 \begin_layout Plain Layout
17160 \begin_inset Formula $\amalg$
17170 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17173 \begin_layout Plain Layout
17181 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17184 \begin_layout Plain Layout
17185 \begin_inset Formula $\uplus$
17195 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17198 \begin_layout Plain Layout
17206 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17209 \begin_layout Plain Layout
17210 \begin_inset Formula $\setminus$
17220 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17223 \begin_layout Plain Layout
17231 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17234 \begin_layout Plain Layout
17235 \begin_inset Formula $\sqcap$
17245 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17248 \begin_layout Plain Layout
17256 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17259 \begin_layout Plain Layout
17260 \begin_inset Formula $\sqcup$
17270 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17273 \begin_layout Plain Layout
17281 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17284 \begin_layout Plain Layout
17285 \begin_inset Formula $\triangleleft$
17295 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
17298 \begin_layout Plain Layout
17306 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
17309 \begin_layout Plain Layout
17310 \begin_inset Formula $\triangleright$
17326 \begin_layout Standard
17327 二項演算子は,すべて数式ツールバーボタンの
17330 arg "math-insert \\pm"
17336 \begin_layout Standard
17360 \begin_inset Formula $\nabla^{2}$
17366 \begin_layout Standard
17369 挿入\SpecialChar menuseparator
17385 \begin_layout Subsection
17387 \begin_inset CommandInset label
17389 name "subsec:自己定義演算子"
17394 \begin_inset Index idx
17397 \begin_layout Plain Layout
17398 えんざんし@演算子 ! じこていぎ@自己定義
17399 \begin_inset space \thinspace{}
17410 \begin_layout Standard
17416 DeclareMathOperator
17419 \begin_inset Index idx
17422 \begin_layout Plain Layout
17427 DeclareMathOperator
17432 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
17435 \begin_layout Standard
17440 DeclareMathOperator{新規コマンド}{表示}
17443 \begin_layout Standard
17444 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
17445 \begin_inset CommandInset ref
17447 reference "subsec:演算子の範囲"
17451 節で述べられた範囲を指定することができます.
17454 \begin_layout Standard
17455 たとえば,以下のような\SpecialChar LaTeX
17459 \begin_layout Standard
17464 DeclareMathOperator*{
17471 \begin_layout Standard
17473 \begin_inset CommandInset ref
17475 reference "subsec:その他の記号"
17479 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
17486 \begin_inset Formula
17488 \Lozenge_{n=1}^{\infty}
17504 \begin_inset Formula $\to$
17512 \begin_layout Standard
17513 \begin_inset VSpace bigskip
17516 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
17523 \begin_inset Index idx
17526 \begin_layout Plain Layout
17541 \begin_inset Index idx
17544 \begin_layout Plain Layout
17552 コマンドを用いて定義を行うこともできます.
17555 \begin_layout Standard
17569 \begin_layout Standard
17585 \begin_layout Standard
17592 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.
17595 \begin_layout Standard
17596 \begin_inset Formula
17598 \mathop{\sum\negmedspace\sum}_{i,j=1}^{N}
17606 \begin_layout Standard
17608 \begin_inset Newline newline
17624 \begin_inset space \textvisiblespace{}
17630 \begin_inset Formula $\to$
17636 \begin_inset space \textvisiblespace{}
17642 \begin_inset Newline newline
17650 \begin_layout Section
17652 \begin_inset Index idx
17655 \begin_layout Plain Layout
17662 \begin_inset Index idx
17665 \begin_layout Plain Layout
17670 \begin_layout Plain Layout
17681 \begin_layout Plain Layout
17696 \begin_layout Subsection
17698 \begin_inset CommandInset label
17705 \begin_inset Index idx
17708 \begin_layout Plain Layout
17717 \begin_layout Standard
17718 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.
17721 \begin_layout Standard
17723 \begin_inset Tabular
17724 <lyxtabular version="3" rows="6" columns="3">
17725 <features booktabs="true" tabularvalignment="middle">
17726 <column alignment="center" valignment="top" width="0pt">
17727 <column alignment="center" valignment="top">
17728 <column alignment="center" valignment="top">
17730 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
17733 \begin_layout Plain Layout
17739 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
17742 \begin_layout Plain Layout
17748 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
17751 \begin_layout Plain Layout
17761 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17764 \begin_layout Plain Layout
17770 \begin_inset space \textvisiblespace{}
17780 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17783 \begin_layout Plain Layout
17784 \begin_inset Formula $\mathbb{ABC}$
17792 <cell alignment="center" valignment="top" usebox="none">
17795 \begin_layout Plain Layout
17803 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17806 \begin_layout Plain Layout
17812 \begin_inset space \textvisiblespace{}
17822 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17825 \begin_layout Plain Layout
17826 \begin_inset Formula $\mathbf{AbC}$
17834 <cell alignment="center" valignment="top" usebox="none">
17837 \begin_layout Plain Layout
17850 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17853 \begin_layout Plain Layout
17859 \begin_inset space \textvisiblespace{}
17869 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17872 \begin_layout Plain Layout
17873 \begin_inset Formula $\boldsymbol{AbC}$
17881 <cell alignment="center" valignment="top" usebox="none">
17884 \begin_layout Plain Layout
17887 arg "font-boldsymbol"
17897 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17900 \begin_layout Plain Layout
17906 \begin_inset space \textvisiblespace{}
17916 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17919 \begin_layout Plain Layout
17920 \begin_inset Formula $\mathcal{ABC}$
17928 <cell alignment="center" valignment="top" usebox="none">
17931 \begin_layout Plain Layout
17939 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
17942 \begin_layout Plain Layout
17948 \begin_inset space \textvisiblespace{}
17958 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
17961 \begin_layout Plain Layout
17962 \begin_inset Formula $\mathfrak{AbC}$
17970 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
17973 \begin_layout Plain Layout
17987 \begin_layout Standard
17989 \begin_inset Tabular
17990 <lyxtabular version="3" rows="6" columns="3">
17991 <features booktabs="true" tabularvalignment="middle">
17992 <column alignment="center" valignment="top" width="0pt">
17993 <column alignment="center" valignment="top">
17994 <column alignment="center" valignment="top">
17996 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
17999 \begin_layout Plain Layout
18005 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
18008 \begin_layout Plain Layout
18014 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
18017 \begin_layout Plain Layout
18027 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18030 \begin_layout Plain Layout
18036 \begin_inset space \textvisiblespace{}
18046 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18049 \begin_layout Plain Layout
18050 \begin_inset Formula $\mathit{AbC}$
18058 <cell alignment="center" valignment="top" usebox="none">
18061 \begin_layout Plain Layout
18069 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18072 \begin_layout Plain Layout
18078 \begin_inset space \textvisiblespace{}
18088 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18091 \begin_layout Plain Layout
18092 \begin_inset Formula $\mathrm{AbC}$
18100 <cell alignment="center" valignment="top" usebox="none">
18103 \begin_layout Plain Layout
18116 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18119 \begin_layout Plain Layout
18125 \begin_inset space \textvisiblespace{}
18135 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18138 \begin_layout Plain Layout
18139 \begin_inset Formula $\mathsf{AbC}$
18147 <cell alignment="center" valignment="top" usebox="none">
18150 \begin_layout Plain Layout
18163 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18166 \begin_layout Plain Layout
18172 \begin_inset space \textvisiblespace{}
18182 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18185 \begin_layout Plain Layout
18186 \begin_inset Formula $\mathtt{AbC}$
18194 <cell alignment="center" valignment="top" usebox="none">
18197 \begin_layout Plain Layout
18200 arg "font-typewriter"
18210 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
18213 \begin_layout Plain Layout
18219 \begin_inset space \textvisiblespace{}
18229 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
18232 \begin_layout Plain Layout
18233 \begin_inset Formula $\mathscr{ABC}$
18241 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
18244 \begin_layout Plain Layout
18258 \begin_layout Standard
18259 \begin_inset Note Greyedout
18262 \begin_layout Plain Layout
18279 様式は,大文字にのみ使用することができます.
18287 \begin_layout Standard
18297 \begin_layout Standard
18298 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.
18299 \begin_inset Formula
18301 \mathfrak{A=\frac{b}{C}}
18309 \begin_layout Standard
18310 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,
18316 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
18321 \begin_layout Plain Layout
18322 \begin_inset CommandInset href
18324 name "LyX-bug #4629"
18325 target "http://www.lyx.org/trac/ticket/4629"
18338 \begin_layout Standard
18341 編集\SpecialChar menuseparator
18342 数学\SpecialChar menuseparator
18348 arg "math-insert \\font"
18354 \begin_layout Subsection
18356 \begin_inset CommandInset label
18358 name "subsec:ボールド体の数式"
18363 \begin_inset Index idx
18366 \begin_layout Plain Layout
18367 すうしき@数式 ! ぼーるどたい@ボールド体
18375 \begin_layout Standard
18376 数式全体をボールド体にしようとすると,前節の
18382 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
18386 \begin_layout Standard
18387 \begin_inset Formula
18389 \mathbf{\int_{n}^{2}f(\theta)=\Gamma}\qquad\textrm{\textbackslash mathbfを使用した数式}
18397 \begin_layout Standard
18398 この数式を正しく表示するには,以下のように,
18405 \begin_inset Formula
18407 \boldsymbol{\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{\textbackslash boldsymbolを使用した数式}}
18416 に設定する方法もあります.この環境は,\SpecialChar TeX
18422 \begin_inset Index idx
18425 \begin_layout Plain Layout
18435 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,
18440 \begin_inset Index idx
18443 \begin_layout Plain Layout
18453 コマンドを\SpecialChar TeX
18458 \begin_layout Plain Layout
18468 \begin_inset Formula
18470 \int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{boldmath環境に置いた数式}
18479 \begin_layout Plain Layout
18491 \begin_layout Subsection
18493 \begin_inset Index idx
18496 \begin_layout Plain Layout
18505 \begin_layout Standard
18506 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.
18507 \begin_inset Formula
18509 {\color{magenta}\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}
18517 \begin_layout Standard
18519 \begin_inset CommandInset ref
18521 reference "subsec:色付きボックス"
18525 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
18532 \begin_inset Index idx
18535 \begin_layout Plain Layout
18544 コードコマンドで適用することができます.
18547 \begin_layout Standard
18552 textcolor{色}{文字ないし数式}
18555 \begin_layout Standard
18556 下記の例は,全体を濃緑にし,一部を赤にしています.
18559 \begin_layout Standard
18563 \begin_layout Plain Layout
18567 textcolor{darkgreen}{
18573 \begin_inset Formula
18575 \int A\,\mathrm{d}x=\frac{{\color{red}\sqrt[5]{B}}}{\ln\left(\frac{1}{3}\right)}
18584 \begin_layout Plain Layout
18594 \begin_layout Standard
18596 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
18600 \begin_layout Plain Layout
18601 \begin_inset CommandInset href
18603 name "LyX-bug #5269"
18604 target "http://www.lyx.org/trac/ticket/5269"
18617 \begin_layout Subsection
18619 \begin_inset CommandInset label
18626 \begin_inset Index idx
18629 \begin_layout Plain Layout
18638 \begin_layout Standard
18639 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.
18642 \begin_layout Standard
18686 \begin_inset Newline newline
18708 \begin_layout Standard
18709 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
18715 コマンドに設定されます.他のコマンドは,
18721 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
18722 \begin_inset space \thinspace{}
18740 \begin_layout Standard
18741 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
18742 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
18752 \begin_layout Standard
18753 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
18756 arg "math-insert \\style"
18759 を使用して,寸法を変更することができます.
18762 \begin_layout Standard
18765 \begin_inset Tabular
18766 <lyxtabular version="3" rows="5" columns="2">
18767 <features booktabs="true" tabularvalignment="middle">
18768 <column alignment="center" valignment="top" width="0pt">
18769 <column alignment="center" valignment="top">
18771 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
18774 \begin_layout Plain Layout
18780 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
18783 \begin_layout Plain Layout
18791 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18794 \begin_layout Plain Layout
18798 \begin_inset Index idx
18801 \begin_layout Plain Layout
18814 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18817 \begin_layout Plain Layout
18818 \begin_inset Formula ${\displaystyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
18827 <row topspace="1mm">
18828 <cell alignment="center" valignment="top" usebox="none">
18831 \begin_layout Plain Layout
18839 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18842 \begin_layout Plain Layout
18843 \begin_inset Formula ${\textstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
18853 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18856 \begin_layout Plain Layout
18864 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18867 \begin_layout Plain Layout
18868 \begin_inset Formula ${\scriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
18878 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
18881 \begin_layout Plain Layout
18889 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
18892 \begin_layout Plain Layout
18893 \begin_inset Formula ${\scriptscriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
18909 \begin_layout Standard
18910 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.
18913 \begin_layout Standard
18914 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
18915 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.
18916 \begin_inset VSpace -2mm
18922 \begin_layout Standard
18926 \begin_layout Plain Layout
18936 \begin_inset Formula
18938 A=\frac{B}{c}\cdot\maltese
18944 \begin_inset Formula
18946 \maltese A\textrm{\Large\maltese\textit{A}}\textrm{\tiny\maltese\textit{A}}
18955 \begin_layout Plain Layout
18967 \begin_layout Standard
18968 \begin_inset VSpace medskip
18977 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,
18978 \begin_inset Newline newline
18986 \begin_inset space \textvisiblespace{}
18992 \begin_inset space \textvisiblespace{}
18998 \begin_inset space \textvisiblespace{}
19004 \begin_inset space \textvisiblespace{}
19008 \begin_inset Formula $\to$
19012 \begin_inset Formula $\to$
19016 \begin_inset Newline newline
19020 \begin_inset space \hspace*{}
19031 \begin_inset space \textvisiblespace{}
19037 \begin_inset space \textvisiblespace{}
19043 \begin_inset space \textvisiblespace{}
19047 \begin_inset Newline newline
19055 \begin_layout Standard
19056 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.
19059 \begin_layout Section
19061 \begin_inset Index idx
19064 \begin_layout Plain Layout
19073 \begin_layout Standard
19074 すべてのギリシャ文字は,ツールバーボタンの
19077 arg "math-insert \\alpha"
19080 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
19081 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.
19084 \begin_layout Subsection
19086 \begin_inset Index idx
19089 \begin_layout Plain Layout
19090 ぎりしゃもじ@ギリシャ文字 ! こもじ@小文字
19098 \begin_layout Standard
19099 \begin_inset space \hfill{}
19103 \begin_inset Tabular
19104 <lyxtabular version="3" rows="11" columns="2">
19105 <features booktabs="true" tabularvalignment="middle">
19106 <column alignment="center" valignment="top" width="0pt">
19107 <column alignment="center" valignment="top" width="0pt">
19109 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
19112 \begin_layout Plain Layout
19118 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
19121 \begin_layout Plain Layout
19129 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19132 \begin_layout Plain Layout
19140 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19143 \begin_layout Plain Layout
19144 \begin_inset Formula $\alpha$
19154 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19157 \begin_layout Plain Layout
19165 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19168 \begin_layout Plain Layout
19169 \begin_inset Formula $\beta$
19179 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19182 \begin_layout Plain Layout
19190 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19193 \begin_layout Plain Layout
19194 \begin_inset Formula $\gamma$
19204 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19207 \begin_layout Plain Layout
19215 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19218 \begin_layout Plain Layout
19219 \begin_inset Formula $\delta$
19229 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19232 \begin_layout Plain Layout
19240 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19243 \begin_layout Plain Layout
19244 \begin_inset Formula $\epsilon$
19254 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19257 \begin_layout Plain Layout
19265 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19268 \begin_layout Plain Layout
19269 \begin_inset Formula $\varepsilon$
19279 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19282 \begin_layout Plain Layout
19290 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19293 \begin_layout Plain Layout
19294 \begin_inset Formula $\zeta$
19304 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19307 \begin_layout Plain Layout
19315 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19318 \begin_layout Plain Layout
19319 \begin_inset Formula $\eta$
19329 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19332 \begin_layout Plain Layout
19340 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19343 \begin_layout Plain Layout
19344 \begin_inset Formula $\theta$
19354 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
19357 \begin_layout Plain Layout
19365 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
19368 \begin_layout Plain Layout
19369 \begin_inset Formula $\vartheta$
19383 \begin_inset space \hfill{}
19387 \begin_inset Tabular
19388 <lyxtabular version="3" rows="12" columns="2">
19389 <features booktabs="true" tabularvalignment="middle">
19390 <column alignment="center" valignment="top" width="0pt">
19391 <column alignment="center" valignment="top" width="0pt">
19393 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
19396 \begin_layout Plain Layout
19402 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
19405 \begin_layout Plain Layout
19413 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19416 \begin_layout Plain Layout
19424 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19427 \begin_layout Plain Layout
19428 \begin_inset Formula $\iota$
19438 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19441 \begin_layout Plain Layout
19449 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19452 \begin_layout Plain Layout
19453 \begin_inset Formula $\kappa$
19463 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19466 \begin_layout Plain Layout
19474 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19477 \begin_layout Plain Layout
19478 \begin_inset Formula $\varkappa$
19488 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19491 \begin_layout Plain Layout
19499 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19502 \begin_layout Plain Layout
19503 \begin_inset Formula $\lambda$
19513 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19516 \begin_layout Plain Layout
19524 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19527 \begin_layout Plain Layout
19528 \begin_inset Formula $\mu$
19538 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19541 \begin_layout Plain Layout
19549 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19552 \begin_layout Plain Layout
19553 \begin_inset Formula $\nu$
19563 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19566 \begin_layout Plain Layout
19574 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19577 \begin_layout Plain Layout
19578 \begin_inset Formula $\xi$
19588 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19591 \begin_layout Plain Layout
19597 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19600 \begin_layout Plain Layout
19601 \begin_inset Formula $o$
19611 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19614 \begin_layout Plain Layout
19622 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19625 \begin_layout Plain Layout
19626 \begin_inset Formula $\pi$
19636 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19639 \begin_layout Plain Layout
19647 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19650 \begin_layout Plain Layout
19651 \begin_inset Formula $\varpi$
19661 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
19664 \begin_layout Plain Layout
19672 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
19675 \begin_layout Plain Layout
19676 \begin_inset Formula $\rho$
19690 \begin_inset space \hfill{}
19694 \begin_inset Tabular
19695 <lyxtabular version="3" rows="11" columns="2">
19696 <features booktabs="true" tabularvalignment="middle">
19697 <column alignment="center" valignment="top" width="0pt">
19698 <column alignment="center" valignment="top" width="0pt">
19700 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
19703 \begin_layout Plain Layout
19709 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
19712 \begin_layout Plain Layout
19720 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19723 \begin_layout Plain Layout
19731 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19734 \begin_layout Plain Layout
19735 \begin_inset Formula $\varrho$
19745 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19748 \begin_layout Plain Layout
19756 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19759 \begin_layout Plain Layout
19760 \begin_inset Formula $\sigma$
19770 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19773 \begin_layout Plain Layout
19781 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19784 \begin_layout Plain Layout
19785 \begin_inset Formula $\varsigma$
19795 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19798 \begin_layout Plain Layout
19806 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19809 \begin_layout Plain Layout
19810 \begin_inset Formula $\tau$
19820 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19823 \begin_layout Plain Layout
19831 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19834 \begin_layout Plain Layout
19835 \begin_inset Formula $\upsilon$
19845 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19848 \begin_layout Plain Layout
19856 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19859 \begin_layout Plain Layout
19860 \begin_inset Formula $\phi$
19870 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19873 \begin_layout Plain Layout
19881 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19884 \begin_layout Plain Layout
19885 \begin_inset Formula $\varphi$
19895 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19898 \begin_layout Plain Layout
19906 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19909 \begin_layout Plain Layout
19910 \begin_inset Formula $\chi$
19920 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19923 \begin_layout Plain Layout
19931 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19934 \begin_layout Plain Layout
19935 \begin_inset Formula $\psi$
19945 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
19948 \begin_layout Plain Layout
19956 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
19959 \begin_layout Plain Layout
19960 \begin_inset Formula $\omega$
19974 \begin_inset space \hfill{}
19980 \begin_layout Standard
19981 \begin_inset VSpace medskip
19987 \begin_layout Standard
19988 アップライト体のギリシャ文字を作成する方法は,第
19989 \begin_inset CommandInset ref
19991 reference "subsec:アップライト体ギリシャ小文字"
19998 \begin_layout Subsection
20000 \begin_inset Index idx
20003 \begin_layout Plain Layout
20004 ぎりしゃもじ@ギリシャ文字 ! おおもじ@大文字
20012 \begin_layout Standard
20013 \begin_inset space \hfill{}
20017 \begin_inset Tabular
20018 <lyxtabular version="3" rows="7" columns="2">
20019 <features booktabs="true" tabularvalignment="middle">
20020 <column alignment="center" valignment="top" width="0pt">
20021 <column alignment="center" valignment="top" width="0pt">
20023 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
20026 \begin_layout Plain Layout
20032 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
20035 \begin_layout Plain Layout
20043 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20046 \begin_layout Plain Layout
20054 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20057 \begin_layout Plain Layout
20058 \begin_inset Formula $\Gamma$
20068 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20071 \begin_layout Plain Layout
20079 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20082 \begin_layout Plain Layout
20083 \begin_inset Formula $\Delta$
20093 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20096 \begin_layout Plain Layout
20104 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20107 \begin_layout Plain Layout
20108 \begin_inset Formula $\Theta$
20118 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20121 \begin_layout Plain Layout
20129 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20132 \begin_layout Plain Layout
20133 \begin_inset Formula $\Lambda$
20143 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20146 \begin_layout Plain Layout
20154 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20157 \begin_layout Plain Layout
20158 \begin_inset Formula $\Xi$
20168 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
20171 \begin_layout Plain Layout
20179 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
20182 \begin_layout Plain Layout
20183 \begin_inset Formula $\Pi$
20197 \begin_inset space \hfill{}
20201 \begin_inset Tabular
20202 <lyxtabular version="3" rows="6" columns="2">
20203 <features booktabs="true" tabularvalignment="middle">
20204 <column alignment="center" valignment="top" width="0pt">
20205 <column alignment="center" valignment="top" width="0pt">
20207 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
20210 \begin_layout Plain Layout
20216 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
20219 \begin_layout Plain Layout
20227 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20230 \begin_layout Plain Layout
20238 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20241 \begin_layout Plain Layout
20242 \begin_inset Formula $\Sigma$
20252 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20255 \begin_layout Plain Layout
20263 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20266 \begin_layout Plain Layout
20267 \begin_inset Formula $\Upsilon$
20277 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20280 \begin_layout Plain Layout
20288 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20291 \begin_layout Plain Layout
20292 \begin_inset Formula $\Phi$
20302 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20305 \begin_layout Plain Layout
20313 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20316 \begin_layout Plain Layout
20317 \begin_inset Formula $\Psi$
20327 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
20330 \begin_layout Plain Layout
20338 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
20341 \begin_layout Plain Layout
20342 \begin_inset Formula $\Omega$
20356 \begin_inset space \hfill{}
20362 \begin_layout Standard
20363 \begin_inset VSpace medskip
20366 大文字のギリシャ文字が立体で表示されるのは,\SpecialChar TeX
20367 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
20378 \begin_inset Formula $\varGamma$
20381 を生成します.もう一つの方法は,パッケージ
20389 \begin_layout Plain Layout
20394 は,\SpecialChar LaTeX
20400 \begin_inset Index idx
20403 \begin_layout Plain Layout
20408 \begin_layout Plain Layout
20428 \begin_inset Index idx
20431 \begin_layout Plain Layout
20432 ぱっけーじ@パッケージ ! fixmath
20437 を\SpecialChar LaTeX
20441 \begin_layout Standard
20446 usepackage{fixmath}
20449 \begin_layout Standard
20450 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.
20453 \begin_layout Subsection
20455 \begin_inset Index idx
20458 \begin_layout Plain Layout
20459 ぎりしゃもじ@ギリシャ文字 ! ぼーるどたい@ボールド体
20467 \begin_layout Standard
20468 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,
20475 \begin_inset Index idx
20478 \begin_layout Plain Layout
20489 \begin_layout Standard
20491 \begin_inset Tabular
20492 <lyxtabular version="3" rows="3" columns="2">
20493 <features booktabs="true" tabularvalignment="middle">
20494 <column alignment="center" valignment="top" width="0pt">
20495 <column alignment="center" valignment="top">
20497 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
20500 \begin_layout Plain Layout
20506 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
20509 \begin_layout Plain Layout
20517 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20520 \begin_layout Plain Layout
20532 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20535 \begin_layout Plain Layout
20536 \begin_inset Formula $\Upsilon\boldsymbol{\Upsilon}$
20546 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
20549 \begin_layout Plain Layout
20561 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
20564 \begin_layout Plain Layout
20565 \begin_inset Formula $\theta\boldsymbol{\theta}$
20581 \begin_layout Section
20586 \begin_layout Plain Layout
20599 \begin_layout Plain Layout
20600 各\SpecialChar LaTeX
20601 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,
20602 \begin_inset CommandInset citation
20618 \begin_layout Plain Layout
20626 \begin_inset Note Note
20629 \begin_layout Plain Layout
20632 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.
20635 \begin_layout Plain Layout
20638 texorpdfstringについての詳細は,第
20639 \begin_inset CommandInset ref
20641 reference "subsec:節見出し中の数式"
20651 \begin_inset Index idx
20654 \begin_layout Plain Layout
20663 \begin_layout Standard
20664 本節に掲げてある各記号の多くは,ツールバーボタンの
20667 arg "math-insert \\nabla"
20673 arg "math-insert \\digamma"
20679 \begin_layout Subsection
20681 \begin_inset CommandInset label
20688 \begin_inset Index idx
20691 \begin_layout Plain Layout
20700 \begin_layout Standard
20701 \begin_inset Tabular
20702 <lyxtabular version="3" rows="10" columns="2">
20703 <features booktabs="true" tabularvalignment="middle">
20704 <column alignment="center" valignment="top" width="0pt">
20705 <column alignment="center" valignment="top" width="0pt">
20707 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
20710 \begin_layout Plain Layout
20716 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
20719 \begin_layout Plain Layout
20727 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20730 \begin_layout Plain Layout
20738 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20741 \begin_layout Plain Layout
20742 \begin_inset Formula $\neg$
20752 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20755 \begin_layout Plain Layout
20763 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20766 \begin_layout Plain Layout
20767 \begin_inset Formula $\Im$
20777 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20780 \begin_layout Plain Layout
20788 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20791 \begin_layout Plain Layout
20792 \begin_inset Formula $\Re$
20802 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20805 \begin_layout Plain Layout
20813 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20816 \begin_layout Plain Layout
20817 \begin_inset Formula $\aleph$
20827 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20830 \begin_layout Plain Layout
20838 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20841 \begin_layout Plain Layout
20842 \begin_inset Formula $\partial$
20852 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20855 \begin_layout Plain Layout
20863 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20866 \begin_layout Plain Layout
20867 \begin_inset Formula $\infty$
20877 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20880 \begin_layout Plain Layout
20888 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20891 \begin_layout Plain Layout
20892 \begin_inset Formula $\wp$
20902 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20905 \begin_layout Plain Layout
20913 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20916 \begin_layout Plain Layout
20917 \begin_inset Formula $\imath$
20927 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
20930 \begin_layout Plain Layout
20938 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
20941 \begin_layout Plain Layout
20942 \begin_inset Formula $\jmath$
20956 \begin_inset space \hfill{}
20960 \begin_inset Tabular
20961 <lyxtabular version="3" rows="10" columns="2">
20962 <features booktabs="true" tabularvalignment="middle">
20963 <column alignment="center" valignment="top" width="0pt">
20964 <column alignment="center" valignment="top" width="0pt">
20966 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
20969 \begin_layout Plain Layout
20975 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
20978 \begin_layout Plain Layout
20980 \begin_inset Note Note
20983 \begin_layout Plain Layout
20990 はスペーサーとして使用しているだけです.
21002 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21005 \begin_layout Plain Layout
21013 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21016 \begin_layout Plain Layout
21017 \begin_inset Formula $\forall$
21027 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21030 \begin_layout Plain Layout
21038 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21041 \begin_layout Plain Layout
21042 \begin_inset Formula $\exists$
21052 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21055 \begin_layout Plain Layout
21063 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21066 \begin_layout Plain Layout
21067 \begin_inset Formula $\nexists$
21077 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21080 \begin_layout Plain Layout
21088 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21091 \begin_layout Plain Layout
21092 \begin_inset Formula $\emptyset$
21102 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21105 \begin_layout Plain Layout
21113 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21116 \begin_layout Plain Layout
21117 \begin_inset Formula $\varnothing$
21127 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21130 \begin_layout Plain Layout
21138 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21141 \begin_layout Plain Layout
21142 \begin_inset Formula $\dag$
21152 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21155 \begin_layout Plain Layout
21163 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21166 \begin_layout Plain Layout
21167 \begin_inset Formula $\ddag$
21177 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21180 \begin_layout Plain Layout
21188 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21191 \begin_layout Plain Layout
21195 \begin_layout Plain Layout
21205 \begin_inset Formula $\complement$
21212 \begin_layout Plain Layout
21226 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
21229 \begin_layout Plain Layout
21237 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
21240 \begin_layout Plain Layout
21241 \begin_inset Formula $\Bbbk$
21255 \begin_inset space \hfill{}
21259 \begin_inset Tabular
21260 <lyxtabular version="3" rows="10" columns="2">
21261 <features booktabs="true" tabularvalignment="middle">
21262 <column alignment="center" valignment="top" width="0pt">
21263 <column alignment="center" valignment="top" width="0pt">
21265 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
21268 \begin_layout Plain Layout
21274 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
21277 \begin_layout Plain Layout
21285 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21288 \begin_layout Plain Layout
21296 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21299 \begin_layout Plain Layout
21300 \begin_inset Formula $\prime$
21310 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21313 \begin_layout Plain Layout
21321 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21324 \begin_layout Plain Layout
21325 \begin_inset Formula $\backprime$
21335 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21338 \begin_layout Plain Layout
21346 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21349 \begin_layout Plain Layout
21350 \begin_inset Formula $\mho$
21360 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21363 \begin_layout Plain Layout
21371 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21374 \begin_layout Plain Layout
21375 \begin_inset Formula $\triangle$
21385 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21388 \begin_layout Plain Layout
21396 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21399 \begin_layout Plain Layout
21400 \begin_inset Formula $\angle$
21410 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21413 \begin_layout Plain Layout
21421 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21424 \begin_layout Plain Layout
21425 \begin_inset Formula $\measuredangle$
21435 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21438 \begin_layout Plain Layout
21446 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21449 \begin_layout Plain Layout
21450 \begin_inset Formula $\sphericalangle$
21460 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21463 \begin_layout Plain Layout
21471 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21474 \begin_layout Plain Layout
21475 \begin_inset Formula $\top$
21485 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
21488 \begin_layout Plain Layout
21496 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
21499 \begin_layout Plain Layout
21500 \begin_inset Formula $\bot$
21516 \begin_layout Subsection
21518 \begin_inset CommandInset label
21520 name "subsec:その他の記号"
21525 \begin_inset Index idx
21528 \begin_layout Plain Layout
21537 \begin_layout Standard
21540 \begin_inset Tabular
21541 <lyxtabular version="3" rows="10" columns="2">
21542 <features booktabs="true" tabularvalignment="middle">
21543 <column alignment="center" valignment="top" width="0pt">
21544 <column alignment="center" valignment="top" width="0pt">
21546 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
21549 \begin_layout Plain Layout
21555 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
21558 \begin_layout Plain Layout
21566 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21569 \begin_layout Plain Layout
21577 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21580 \begin_layout Plain Layout
21581 \begin_inset Formula $\flat$
21591 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21594 \begin_layout Plain Layout
21602 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21605 \begin_layout Plain Layout
21606 \begin_inset Formula $\natural$
21616 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21619 \begin_layout Plain Layout
21627 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21630 \begin_layout Plain Layout
21631 \begin_inset Formula $\sharp$
21641 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21644 \begin_layout Plain Layout
21652 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21655 \begin_layout Plain Layout
21656 \begin_inset Formula $\surd$
21666 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21669 \begin_layout Plain Layout
21677 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21680 \begin_layout Plain Layout
21681 \begin_inset Formula $\checkmark$
21691 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21694 \begin_layout Plain Layout
21702 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21705 \begin_layout Plain Layout
21706 \begin_inset Formula $\yen$
21716 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21719 \begin_layout Plain Layout
21727 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21730 \begin_layout Plain Layout
21731 \begin_inset Formula $\pounds$
21741 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21744 \begin_layout Plain Layout
21750 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21753 \begin_layout Plain Layout
21754 \begin_inset Formula $\$$
21764 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
21767 \begin_layout Plain Layout
21773 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
21776 \begin_layout Plain Layout
21777 \begin_inset Formula $§$
21791 \begin_inset space \hfill{}
21795 \begin_inset Tabular
21796 <lyxtabular version="3" rows="10" columns="2">
21797 <features booktabs="true" tabularvalignment="middle">
21798 <column alignment="center" valignment="top" width="0pt">
21799 <column alignment="center" valignment="top">
21801 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
21804 \begin_layout Plain Layout
21810 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
21813 \begin_layout Plain Layout
21821 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21824 \begin_layout Plain Layout
21832 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21835 \begin_layout Plain Layout
21836 \begin_inset Formula $\hbar$
21846 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21849 \begin_layout Plain Layout
21857 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21860 \begin_layout Plain Layout
21861 \begin_inset Formula $\hslash$
21871 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21874 \begin_layout Plain Layout
21882 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21885 \begin_layout Plain Layout
21886 \begin_inset Formula $\clubsuit$
21896 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21899 \begin_layout Plain Layout
21907 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21910 \begin_layout Plain Layout
21911 \begin_inset Formula $\spadesuit$
21921 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21924 \begin_layout Plain Layout
21932 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21935 \begin_layout Plain Layout
21936 \begin_inset Formula $\bigstar$
21946 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21949 \begin_layout Plain Layout
21957 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21960 \begin_layout Plain Layout
21961 \begin_inset Formula $\blacklozenge$
21971 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21974 \begin_layout Plain Layout
21982 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21985 \begin_layout Plain Layout
21986 \begin_inset Formula $\blacktriangle$
21996 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21999 \begin_layout Plain Layout
22007 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22010 \begin_layout Plain Layout
22011 \begin_inset Formula $\blacktriangledown$
22021 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22024 \begin_layout Plain Layout
22032 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
22035 \begin_layout Plain Layout
22036 \begin_inset Formula $\bullet$
22050 \begin_inset space \hfill{}
22054 \begin_inset Tabular
22055 <lyxtabular version="3" rows="10" columns="2">
22056 <features booktabs="true" tabularvalignment="middle">
22057 <column alignment="center" valignment="top" width="0pt">
22058 <column alignment="center" valignment="top" width="0pt">
22060 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
22063 \begin_layout Plain Layout
22069 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
22072 \begin_layout Plain Layout
22080 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22083 \begin_layout Plain Layout
22091 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22094 \begin_layout Plain Layout
22095 \begin_inset Formula $\diamondsuit$
22105 <cell alignment="center" valignment="top" rightline="true" usebox="none">
22108 \begin_layout Plain Layout
22116 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22119 \begin_layout Plain Layout
22120 \begin_inset Formula $\Diamond$
22130 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22133 \begin_layout Plain Layout
22141 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22144 \begin_layout Plain Layout
22145 \begin_inset Formula $\heartsuit$
22155 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22158 \begin_layout Plain Layout
22166 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22169 \begin_layout Plain Layout
22170 \begin_inset Formula $\P$
22180 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22183 \begin_layout Plain Layout
22191 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22194 \begin_layout Plain Layout
22195 \begin_inset Formula $\copyright$
22205 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22208 \begin_layout Plain Layout
22216 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22219 \begin_layout Plain Layout
22220 \begin_inset Formula $\circledR$
22230 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22233 \begin_layout Plain Layout
22241 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22244 \begin_layout Plain Layout
22245 \begin_inset Formula $\maltese$
22255 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22258 \begin_layout Plain Layout
22266 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22269 \begin_layout Plain Layout
22270 \begin_inset Formula $\diagup$
22280 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22283 \begin_layout Plain Layout
22291 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
22294 \begin_layout Plain Layout
22295 \begin_inset Formula $\diagdown$
22311 \begin_layout Standard
22312 \begin_inset VSpace medskip
22318 \begin_layout Standard
22319 寸法を変えて表示することのできる記号もあります.第
22320 \begin_inset CommandInset ref
22322 reference "subsec:書体寸法"
22329 \begin_layout Subsection
22331 \begin_inset Index idx
22334 \begin_layout Plain Layout
22335 きごう@記号 ! ゆーろつうかきごう@ユーロ通貨記号
22341 \begin_inset Index idx
22344 \begin_layout Plain Layout
22349 \begin_layout Plain Layout
22366 \begin_layout Standard
22367 ユーロ通貨記号を数式で使用するには,\SpecialChar LaTeX
22373 \begin_inset Index idx
22376 \begin_layout Plain Layout
22377 ぱっけーじ@パッケージ ! eurosym
22382 が導入されていて,以下のような\SpecialChar LaTeX
22383 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.
22386 \begin_layout Standard
22391 usepackage[gennarrow]{eurosym}
22394 \begin_layout Standard
22402 \begin_inset Index idx
22405 \begin_layout Plain Layout
22413 コマンドで挿入することができるようになります.
22416 \begin_layout Standard
22421 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.
22432 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
22439 \begin_inset Index idx
22442 \begin_layout Plain Layout
22450 コマンド(これは\SpecialChar TeX
22451 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.
22454 \begin_layout Standard
22458 \begin_layout Plain Layout
22468 \begin_inset Note Note
22471 \begin_layout Plain Layout
22472 以下の表は,\SpecialChar LaTeX
22485 \begin_layout Standard
22486 以下は,各ユーロ通貨記号のまとめです.
22489 \begin_layout Standard
22491 \begin_inset Tabular
22492 <lyxtabular version="3" rows="4" columns="3">
22493 <features booktabs="true" tabularvalignment="middle">
22494 <column alignment="center" valignment="top" width="0pt">
22495 <column alignment="center" valignment="top" width="0pt">
22496 <column alignment="center" valignment="top" width="0pt">
22498 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
22501 \begin_layout Plain Layout
22505 \begin_layout Plain Layout
22509 cmidrule[0.08em]{2-3}
22519 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22522 \begin_layout Plain Layout
22528 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
22531 \begin_layout Plain Layout
22539 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22542 \begin_layout Plain Layout
22548 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22551 \begin_layout Plain Layout
22559 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22562 \begin_layout Plain Layout
22563 \begin_inset Formula $\euro$
22573 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22576 \begin_layout Plain Layout
22582 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22585 \begin_layout Plain Layout
22591 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22594 \begin_layout Plain Layout
22602 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22605 \begin_layout Plain Layout
22612 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22615 \begin_layout Plain Layout
22623 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
22626 \begin_layout Plain Layout
22630 \begin_layout Plain Layout
22650 \begin_inset Note Note
22653 \begin_layout Plain Layout
22660 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
22676 \begin_layout Standard
22680 \begin_layout Plain Layout
22690 \begin_inset Note Note
22693 \begin_layout Plain Layout
22694 以下は,\SpecialChar LaTeX
22699 が導入されていないときのみ表示されます.
22707 \begin_layout Standard
22708 本節の残りを出力としてみるためには,\SpecialChar LaTeX
22716 \begin_layout Standard
22720 \begin_layout Plain Layout
22732 \begin_layout Section
22734 \begin_inset CommandInset label
22741 \begin_inset Index idx
22744 \begin_layout Plain Layout
22751 \begin_inset Index idx
22754 \begin_layout Plain Layout
22759 \begin_layout Plain Layout
22770 \begin_layout Plain Layout
22785 \begin_layout Standard
22789 arg "math-insert \\leq"
22795 \begin_layout Standard
22796 \begin_inset Tabular
22797 <lyxtabular version="3" rows="17" columns="2">
22798 <features booktabs="true" tabularvalignment="middle">
22799 <column alignment="center" valignment="top" width="0pt">
22800 <column alignment="center" valignment="top" width="0pt">
22802 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
22805 \begin_layout Plain Layout
22811 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
22814 \begin_layout Plain Layout
22822 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22825 \begin_layout Plain Layout
22831 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22834 \begin_layout Plain Layout
22835 \begin_inset Formula $<$
22845 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22848 \begin_layout Plain Layout
22856 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22859 \begin_layout Plain Layout
22860 \begin_inset Formula $\le$
22870 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22873 \begin_layout Plain Layout
22881 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22884 \begin_layout Plain Layout
22885 \begin_inset Formula $\ll$
22895 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22898 \begin_layout Plain Layout
22906 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22909 \begin_layout Plain Layout
22910 \begin_inset Formula $\prec$
22920 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22923 \begin_layout Plain Layout
22931 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22934 \begin_layout Plain Layout
22935 \begin_inset Formula $\preceq$
22945 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22948 \begin_layout Plain Layout
22956 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22959 \begin_layout Plain Layout
22960 \begin_inset Formula $\subset$
22970 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22973 \begin_layout Plain Layout
22981 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22984 \begin_layout Plain Layout
22985 \begin_inset Formula $\subseteq$
22995 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22998 \begin_layout Plain Layout
23006 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23009 \begin_layout Plain Layout
23010 \begin_inset Formula $\sqsubseteq$
23020 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23023 \begin_layout Plain Layout
23031 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23034 \begin_layout Plain Layout
23035 \begin_inset Formula $\in$
23045 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23048 \begin_layout Plain Layout
23056 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23059 \begin_layout Plain Layout
23060 \begin_inset Formula $\vdash$
23070 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23073 \begin_layout Plain Layout
23081 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23084 \begin_layout Plain Layout
23085 \begin_inset Formula $\smile$
23095 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23098 \begin_layout Plain Layout
23106 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23109 \begin_layout Plain Layout
23110 \begin_inset Formula $\lhd$
23120 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23123 \begin_layout Plain Layout
23131 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23134 \begin_layout Plain Layout
23135 \begin_inset Formula $\unlhd$
23145 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23148 \begin_layout Plain Layout
23156 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23159 \begin_layout Plain Layout
23160 \begin_inset Formula $\gtrless$
23170 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23173 \begin_layout Plain Layout
23181 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23184 \begin_layout Plain Layout
23185 \begin_inset Formula $\mid$
23195 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
23198 \begin_layout Plain Layout
23206 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
23209 \begin_layout Plain Layout
23210 \begin_inset Formula $\nmid$
23224 \begin_inset space \hfill{}
23228 \begin_inset Tabular
23229 <lyxtabular version="3" rows="17" columns="2">
23230 <features booktabs="true" tabularvalignment="middle">
23231 <column alignment="center" valignment="top" width="0pt">
23232 <column alignment="center" valignment="top" width="0pt">
23234 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
23237 \begin_layout Plain Layout
23243 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
23246 \begin_layout Plain Layout
23254 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23257 \begin_layout Plain Layout
23263 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23266 \begin_layout Plain Layout
23267 \begin_inset Formula $=$
23277 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23280 \begin_layout Plain Layout
23288 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23291 \begin_layout Plain Layout
23292 \begin_inset Formula $\not=$
23302 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23305 \begin_layout Plain Layout
23313 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23316 \begin_layout Plain Layout
23317 \begin_inset Formula $\equiv$
23327 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23330 \begin_layout Plain Layout
23338 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23341 \begin_layout Plain Layout
23342 \begin_inset Formula $\sim$
23352 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23355 \begin_layout Plain Layout
23363 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23366 \begin_layout Plain Layout
23367 \begin_inset Formula $\simeq$
23377 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23380 \begin_layout Plain Layout
23388 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23391 \begin_layout Plain Layout
23392 \begin_inset Formula $\approx$
23402 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23405 \begin_layout Plain Layout
23413 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23416 \begin_layout Plain Layout
23417 \begin_inset Formula $\cong$
23427 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23430 \begin_layout Plain Layout
23438 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23441 \begin_layout Plain Layout
23442 \begin_inset Formula $\bowtie$
23452 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23455 \begin_layout Plain Layout
23463 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23466 \begin_layout Plain Layout
23467 \begin_inset Formula $\notin$
23477 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23480 \begin_layout Plain Layout
23488 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23491 \begin_layout Plain Layout
23492 \begin_inset Formula $\perp$
23502 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23505 \begin_layout Plain Layout
23513 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23516 \begin_layout Plain Layout
23517 \begin_inset Formula $\propto$
23527 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23530 \begin_layout Plain Layout
23538 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23541 \begin_layout Plain Layout
23542 \begin_inset Formula $\asymp$
23552 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23555 \begin_layout Plain Layout
23563 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23566 \begin_layout Plain Layout
23567 \begin_inset Formula $\doteq$
23577 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23580 \begin_layout Plain Layout
23588 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23591 \begin_layout Plain Layout
23592 \begin_inset Formula $\circeq$
23602 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23605 \begin_layout Plain Layout
23613 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23616 \begin_layout Plain Layout
23617 \begin_inset Formula $\models$
23627 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
23630 \begin_layout Plain Layout
23638 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
23641 \begin_layout Plain Layout
23642 \begin_inset Formula $\widehat{=}$
23656 \begin_inset space \hfill{}
23660 \begin_inset Tabular
23661 <lyxtabular version="3" rows="17" columns="2">
23662 <features booktabs="true" tabularvalignment="middle">
23663 <column alignment="center" valignment="top" width="0pt">
23664 <column alignment="center" valignment="top" width="0pt">
23666 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
23669 \begin_layout Plain Layout
23675 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
23678 \begin_layout Plain Layout
23686 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23689 \begin_layout Plain Layout
23695 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23698 \begin_layout Plain Layout
23699 \begin_inset Formula $>$
23709 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23712 \begin_layout Plain Layout
23720 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23723 \begin_layout Plain Layout
23724 \begin_inset Formula $\ge$
23734 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23737 \begin_layout Plain Layout
23745 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23748 \begin_layout Plain Layout
23749 \begin_inset Formula $\gg$
23759 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23762 \begin_layout Plain Layout
23770 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23773 \begin_layout Plain Layout
23774 \begin_inset Formula $\succ$
23784 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23787 \begin_layout Plain Layout
23795 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23798 \begin_layout Plain Layout
23799 \begin_inset Formula $\succeq$
23809 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23812 \begin_layout Plain Layout
23820 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23823 \begin_layout Plain Layout
23824 \begin_inset Formula $\supset$
23834 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23837 \begin_layout Plain Layout
23845 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23848 \begin_layout Plain Layout
23849 \begin_inset Formula $\supseteq$
23859 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23862 \begin_layout Plain Layout
23870 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23873 \begin_layout Plain Layout
23874 \begin_inset Formula $\sqsupseteq$
23884 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23887 \begin_layout Plain Layout
23895 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23898 \begin_layout Plain Layout
23899 \begin_inset Formula $\ni$
23909 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23912 \begin_layout Plain Layout
23920 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23923 \begin_layout Plain Layout
23924 \begin_inset Formula $\dashv$
23934 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23937 \begin_layout Plain Layout
23945 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23948 \begin_layout Plain Layout
23949 \begin_inset Formula $\frown$
23959 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23962 \begin_layout Plain Layout
23970 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23973 \begin_layout Plain Layout
23974 \begin_inset Formula $\rhd$
23984 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23987 \begin_layout Plain Layout
23995 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23998 \begin_layout Plain Layout
23999 \begin_inset Formula $\unrhd$
24009 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24012 \begin_layout Plain Layout
24020 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24023 \begin_layout Plain Layout
24024 \begin_inset Formula $\lessgtr$
24034 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24037 \begin_layout Plain Layout
24045 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24048 \begin_layout Plain Layout
24049 \begin_inset Formula $\parallel$
24059 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
24062 \begin_layout Plain Layout
24070 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
24073 \begin_layout Plain Layout
24074 \begin_inset Formula $\nparallel$
24090 \begin_layout Standard
24091 \begin_inset VSpace medskip
24121 \begin_layout Standard
24123 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
24126 arg "math-insert \\leqq"
24132 \begin_layout Standard
24133 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.
24136 \begin_layout Standard
24144 \begin_inset Index idx
24147 \begin_layout Plain Layout
24155 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.
24158 \begin_layout Standard
24160 \begin_inset Tabular
24161 <lyxtabular version="3" rows="2" columns="2">
24162 <features booktabs="true" tabularvalignment="middle">
24163 <column alignment="center" valignment="top" width="0pt">
24164 <column alignment="center" valignment="top">
24166 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24169 \begin_layout Plain Layout
24175 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
24178 \begin_layout Plain Layout
24185 <row topspace="1.5mm">
24186 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
24189 \begin_layout Plain Layout
24193 \begin_inset space \textvisiblespace{}
24201 \begin_inset space \textvisiblespace{}
24205 \begin_inset Formula $\downarrow$
24211 \begin_inset space \textvisiblespace{}
24215 \begin_inset space \textvisiblespace{}
24223 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
24226 \begin_layout Plain Layout
24227 \begin_inset Formula $A(r)\stackrel{r\to\infty}{\approx}B$
24243 \begin_layout Section
24247 \begin_layout Subsection
24249 \begin_inset CommandInset label
24251 name "subsec:定義済み函数"
24256 \begin_inset Index idx
24259 \begin_layout Plain Layout
24260 かんすう@関数 ! ていぎずみ@定義済み
24268 \begin_layout Standard
24273 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,
24274 \begin_inset Formula $sin$
24278 \begin_inset Formula $s\cdot i\cdot n$
24281 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
24282 ックスラッシュを加えたコマンドとして挿入します.
24285 \begin_layout Standard
24287 \begin_inset Tabular
24288 <lyxtabular version="3" rows="2" columns="2">
24289 <features booktabs="true" tabularvalignment="middle">
24290 <column alignment="center" valignment="top" width="0pt">
24291 <column alignment="center" valignment="top" width="0pt">
24293 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
24296 \begin_layout Plain Layout
24302 <cell alignment="center" valignment="top" topline="true" bottomline="true" rightline="true" usebox="none">
24305 \begin_layout Plain Layout
24313 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
24316 \begin_layout Plain Layout
24322 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
24325 \begin_layout Plain Layout
24326 \begin_inset Formula $Asin(x)+B$
24340 \begin_inset space \quad{}
24344 \begin_inset Tabular
24345 <lyxtabular version="3" rows="2" columns="2">
24346 <features booktabs="true" tabularvalignment="middle">
24347 <column alignment="center" valignment="top" width="0pt">
24348 <column alignment="center" valignment="top" width="0pt">
24350 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
24353 \begin_layout Plain Layout
24359 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
24362 \begin_layout Plain Layout
24370 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
24373 \begin_layout Plain Layout
24381 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
24384 \begin_layout Plain Layout
24385 \begin_inset Formula $A\sin(x)+B$
24401 \begin_layout Standard
24405 \begin_layout Standard
24406 \begin_inset VSpace -2mm
24412 \begin_layout Standard
24414 \begin_inset Tabular
24415 <lyxtabular version="3" rows="9" columns="4">
24416 <features booktabs="true" tabularvalignment="middle">
24417 <column alignment="center" valignment="top" width="0pt">
24418 <column alignment="center" valignment="top" width="0pt">
24419 <column alignment="center" valignment="top" width="0pt">
24420 <column alignment="center" valignment="top" width="0pt">
24422 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24425 \begin_layout Plain Layout
24431 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24434 \begin_layout Plain Layout
24440 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24443 \begin_layout Plain Layout
24449 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
24452 \begin_layout Plain Layout
24460 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24463 \begin_layout Plain Layout
24471 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24474 \begin_layout Plain Layout
24482 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24485 \begin_layout Plain Layout
24493 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24496 \begin_layout Plain Layout
24506 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24509 \begin_layout Plain Layout
24517 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24520 \begin_layout Plain Layout
24528 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24531 \begin_layout Plain Layout
24539 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24542 \begin_layout Plain Layout
24552 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24555 \begin_layout Plain Layout
24563 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24566 \begin_layout Plain Layout
24574 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24577 \begin_layout Plain Layout
24585 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24588 \begin_layout Plain Layout
24598 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24601 \begin_layout Plain Layout
24609 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24612 \begin_layout Plain Layout
24620 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24623 \begin_layout Plain Layout
24631 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24634 \begin_layout Plain Layout
24644 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24647 \begin_layout Plain Layout
24655 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24658 \begin_layout Plain Layout
24666 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24669 \begin_layout Plain Layout
24677 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24680 \begin_layout Plain Layout
24690 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24693 \begin_layout Plain Layout
24701 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24704 \begin_layout Plain Layout
24712 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24715 \begin_layout Plain Layout
24723 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24726 \begin_layout Plain Layout
24736 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24739 \begin_layout Plain Layout
24747 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24750 \begin_layout Plain Layout
24758 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24761 \begin_layout Plain Layout
24769 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24772 \begin_layout Plain Layout
24782 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
24785 \begin_layout Plain Layout
24793 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
24796 \begin_layout Plain Layout
24804 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
24807 \begin_layout Plain Layout
24815 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
24818 \begin_layout Plain Layout
24834 \begin_layout Standard
24838 arg "math-insert \\functions"
24844 \begin_layout Subsection
24846 \begin_inset Index idx
24849 \begin_layout Plain Layout
24850 かんすう@関数 ! じこていぎ@自己定義
24858 \begin_layout Standard
24859 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.
24862 \begin_layout Itemize
24863 以下の行を\SpecialChar LaTeX
24864 プリアンブルに加えることによって関数を定義します.
24868 \begin_layout Plain Layout
24873 DeclareMathOperator
24876 \begin_inset CommandInset ref
24878 reference "subsec:自己定義演算子"
24888 \begin_inset Newline newline
24892 \begin_inset VSpace -3mm
24896 \begin_inset Newline newline
24903 DeclareMathOperator{
24908 \begin_inset Index idx
24911 \begin_layout Plain Layout
24916 DeclareMathOperator
24922 \begin_inset Newline newline
24926 \begin_inset VSpace -2mm
24930 \begin_inset Newline newline
24939 コマンドで呼び出すことができるようになります.
24942 \begin_layout Itemize
24943 数式を普通に書き下し,関数名を選択して(上記の例では
24947 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.
24950 \begin_layout Standard
24951 双方とも定義済み関数と同等の出力をもたらします
24955 \begin_layout Plain Layout
24957 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.
24965 \begin_layout Standard
24967 \begin_inset Tabular
24968 <lyxtabular version="3" rows="3" columns="2">
24969 <features booktabs="true" tabularvalignment="middle">
24970 <column alignment="center" valignment="top" width="0pt">
24971 <column alignment="center" valignment="top" width="0pt">
24973 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24976 \begin_layout Plain Layout
24982 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
24985 \begin_layout Plain Layout
24993 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24996 \begin_layout Plain Layout
25004 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25007 \begin_layout Plain Layout
25008 \begin_inset Formula $A\sgn(x)+B$
25018 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
25021 \begin_layout Plain Layout
25025 \begin_inset Formula $\underbrace{\textrm{sgn}}_{\textrm{Alt+M}\,\textrm{M}}$
25033 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25036 \begin_layout Plain Layout
25037 \begin_inset Formula $A\,\textrm{sgn}(x)+B$
25053 \begin_layout Standard
25054 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.
25057 \begin_layout Subsection
25059 \begin_inset Index idx
25062 \begin_layout Plain Layout
25071 \begin_layout Standard
25079 \begin_inset Index idx
25082 \begin_layout Plain Layout
25105 \begin_layout Standard
25107 \begin_inset Tabular
25108 <lyxtabular version="3" rows="5" columns="2">
25109 <features booktabs="true" tabularvalignment="middle">
25110 <column alignment="center" valignment="top" width="0pt">
25111 <column alignment="center" valignment="top" width="0pt">
25113 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
25116 \begin_layout Plain Layout
25122 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25125 \begin_layout Plain Layout
25133 <cell alignment="center" valignment="top" leftline="true" usebox="none">
25136 \begin_layout Plain Layout
25144 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25147 \begin_layout Plain Layout
25148 \begin_inset Formula $\varliminf$
25157 <row topspace="1.5mm">
25158 <cell alignment="center" valignment="top" usebox="none">
25161 \begin_layout Plain Layout
25169 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25172 \begin_layout Plain Layout
25173 \begin_inset Formula $\varlimsup$
25182 <row topspace="1.5mm">
25183 <cell alignment="center" valignment="top" usebox="none">
25186 \begin_layout Plain Layout
25194 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25197 \begin_layout Plain Layout
25198 \begin_inset Formula $\varprojlim$
25207 <row topspace="1.5mm" bottomspace="1mm">
25208 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
25211 \begin_layout Plain Layout
25219 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
25222 \begin_layout Plain Layout
25223 \begin_inset Formula $\varinjlim$
25239 \begin_layout Standard
25240 \begin_inset VSpace medskip
25243 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.
25246 \begin_layout Standard
25248 \begin_inset Tabular
25249 <lyxtabular version="3" rows="2" columns="2">
25250 <features booktabs="true" tabularvalignment="middle">
25251 <column alignment="center" valignment="top" width="0pt">
25252 <column alignment="center" valignment="top" width="0pt">
25254 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
25257 \begin_layout Plain Layout
25263 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
25266 \begin_layout Plain Layout
25274 <cell alignment="center" valignment="top" usebox="none">
25277 \begin_layout Plain Layout
25283 \begin_inset space \textvisiblespace{}
25287 \begin_inset space \textvisiblespace{}
25295 <cell alignment="center" valignment="top" usebox="none">
25298 \begin_layout Plain Layout
25299 \begin_inset Formula $\lim_{x\to A}x=B$
25315 \begin_layout Standard
25316 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.
25317 \begin_inset Formula
25327 \begin_layout Standard
25328 \begin_inset VSpace medskip
25334 \begin_layout Standard
25335 極限の組版を調整する仕方については,第
25336 \begin_inset CommandInset ref
25338 reference "subsec:演算子の範囲"
25345 \begin_layout Subsection
25347 \begin_inset Index idx
25350 \begin_layout Plain Layout
25357 \begin_inset Index idx
25360 \begin_layout Plain Layout
25361 かんすう@関数 ! もじゅらす@モジュラス
25365 \begin_layout Plain Layout
25376 \begin_layout Plain Layout
25391 \begin_layout Standard
25392 剰余関数は,特別に4つの派生型があります.
25395 \begin_layout Standard
25397 \begin_inset Formula
25399 \underline{\textrm{コマンド}\raisebox{-0.9mm}{}} & & \underline{\textrm{出力}}\\
25400 \mathrm{a\backslash mod\textrm{␣}b} & & a\mod b\\
25401 \mathrm{a\backslash pmod\textrm{␣}b} & & a\pmod b\\
25402 \mathrm{a\backslash bmod\textrm{␣}b} & & a\bmod b\\
25403 \mathrm{a\backslash pod\textrm{␣}b} & & a\pod b
25411 \begin_layout Standard
25412 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
25413 のように文字を\SpecialChar TeX
25415 \begin_inset Formula
25417 \underline{\textrm{コマンド}\raisebox{-0.9mm}{}} & & \underline{\textrm{出力}}\\
25418 \mathrm{a\backslash pod\textrm{␣}bcd} & & a\pod bcd\\
25419 \mathrm{a\backslash pod\backslash\{bc\backslash\}d} & & a\pod{bc}d
25427 \begin_layout Section
25429 \begin_inset Index idx
25432 \begin_layout Plain Layout
25441 \begin_layout Standard
25442 ^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
25447 \begin_layout Standard
25450 \begin_inset Tabular
25451 <lyxtabular version="3" rows="3" columns="2">
25452 <features booktabs="true" tabularvalignment="middle">
25453 <column alignment="left" valignment="top" width="0pt">
25454 <column alignment="block" valignment="top">
25456 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
25459 \begin_layout Plain Layout
25465 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25468 \begin_layout Plain Layout
25476 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25479 \begin_layout Plain Layout
25483 \begin_inset space \textvisiblespace{}
25491 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25494 \begin_layout Plain Layout
25495 \begin_inset Formula $\mathcircumflex$
25505 <cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
25508 \begin_layout Plain Layout
25516 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
25519 \begin_layout Plain Layout
25520 \begin_inset Formula $\_$
25536 \begin_layout Subsection
25540 \begin_layout Standard
25541 以下の各コマンドは,数式テキストか\SpecialChar TeX
25542 モード中でのみ使用することができます.
25545 \begin_layout Standard
25546 \begin_inset space \hfill{}
25550 \begin_inset Tabular
25551 <lyxtabular version="3" rows="8" columns="2">
25552 <features booktabs="true" tabularvalignment="middle">
25553 <column alignment="left" valignment="top" width="0pt">
25554 <column alignment="block" valignment="top">
25556 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
25559 \begin_layout Plain Layout
25565 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25568 \begin_layout Plain Layout
25576 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25579 \begin_layout Plain Layout
25587 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25590 \begin_layout Plain Layout
25591 \begin_inset Formula $\textrm{œ}$
25601 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25604 \begin_layout Plain Layout
25612 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25615 \begin_layout Plain Layout
25616 \begin_inset Formula $\textrm{Œ}$
25626 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25629 \begin_layout Plain Layout
25637 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25640 \begin_layout Plain Layout
25641 \begin_inset Formula $\textrm{æ}$
25651 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25654 \begin_layout Plain Layout
25662 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25665 \begin_layout Plain Layout
25666 \begin_inset Formula $\textrm{Æ}$
25676 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25679 \begin_layout Plain Layout
25687 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25690 \begin_layout Plain Layout
25691 \begin_inset Formula $\textrm{å}$
25701 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25704 \begin_layout Plain Layout
25712 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25715 \begin_layout Plain Layout
25716 \begin_inset Formula $\textrm{Å}$
25726 <cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
25729 \begin_layout Plain Layout
25737 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
25740 \begin_layout Plain Layout
25741 \begin_inset Formula $\textrm{ı}$
25755 \begin_inset space \hfill{}
25759 \begin_inset Tabular
25760 <lyxtabular version="3" rows="8" columns="2">
25761 <features booktabs="true" tabularvalignment="middle">
25762 <column alignment="left" valignment="top" width="0pt">
25763 <column alignment="center" valignment="top">
25765 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
25768 \begin_layout Plain Layout
25770 \begin_inset Note Note
25773 \begin_layout Plain Layout
25775 \begin_inset space \thinspace{}
25778 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.
25788 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25791 \begin_layout Plain Layout
25799 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25802 \begin_layout Plain Layout
25810 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25813 \begin_layout Plain Layout
25814 \begin_inset Formula $\textrm{ø}$
25824 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25827 \begin_layout Plain Layout
25835 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25838 \begin_layout Plain Layout
25839 \begin_inset Formula $\textrm{Ø}$
25849 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25852 \begin_layout Plain Layout
25860 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25863 \begin_layout Plain Layout
25864 \begin_inset Formula $\textrm{ł}$
25874 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25877 \begin_layout Plain Layout
25885 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25888 \begin_layout Plain Layout
25889 \begin_inset Formula $\textrm{Ł}$
25899 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25902 \begin_layout Plain Layout
25904 \begin_inset space \hspace{}
25909 \begin_inset space \textvisiblespace{}
25917 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25920 \begin_layout Plain Layout
25921 \begin_inset Formula $\textrm{!`}$
25931 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25934 \begin_layout Plain Layout
25936 \begin_inset space \hspace{}
25941 \begin_inset space \textvisiblespace{}
25949 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25952 \begin_layout Plain Layout
25953 \begin_inset Formula $\textrm{?`}$
25963 <cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
25966 \begin_layout Plain Layout
25974 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
25977 \begin_layout Plain Layout
25978 \begin_inset Formula $\textrm{ȷ}$
25992 \begin_inset space \hfill{}
25998 \begin_layout Standard
25999 \begin_inset Formula $\textrm{\textrm{Å}}$
26003 \begin_inset Formula $\textrm{\textrm{Ø}}$
26009 arg "math-insert \\digamma"
26015 \begin_layout Standard
26019 \begin_inset space \hspace{}
26028 \begin_inset space \hspace{}
26034 の各コマンドで,これらは直接\SpecialChar LyX
26038 \begin_layout Subsection
26040 \begin_inset CommandInset label
26042 name "subsec:文章中のアクセント"
26047 \begin_inset Index idx
26050 \begin_layout Plain Layout
26051 あくせんと@アクセント ! ぶんしょうちゅうの@文章中の
26059 \begin_layout Standard
26060 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
26064 \begin_layout Standard
26065 \begin_inset space \hfill{}
26069 \begin_inset Tabular
26070 <lyxtabular version="3" rows="8" columns="2">
26071 <features booktabs="true" tabularvalignment="middle">
26072 <column alignment="left" valignment="top" width="0pt">
26073 <column alignment="block" valignment="top">
26075 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
26078 \begin_layout Plain Layout
26084 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
26087 \begin_layout Plain Layout
26095 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26098 \begin_layout Plain Layout
26102 \begin_inset Quotes grd
26110 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26113 \begin_layout Plain Layout
26117 \begin_layout Plain Layout
26133 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26136 \begin_layout Plain Layout
26144 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26147 \begin_layout Plain Layout
26151 \begin_layout Plain Layout
26167 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26170 \begin_layout Plain Layout
26174 \begin_inset space \textvisiblespace{}
26182 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26185 \begin_layout Plain Layout
26189 \begin_layout Plain Layout
26205 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26208 \begin_layout Plain Layout
26216 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26219 \begin_layout Plain Layout
26223 \begin_layout Plain Layout
26239 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26242 \begin_layout Plain Layout
26246 \begin_inset space \textvisiblespace{}
26254 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26257 \begin_layout Plain Layout
26261 \begin_layout Plain Layout
26277 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26280 \begin_layout Plain Layout
26284 \begin_inset space \textvisiblespace{}
26292 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26295 \begin_layout Plain Layout
26299 \begin_layout Plain Layout
26315 <cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
26318 \begin_layout Plain Layout
26322 \begin_inset space \textvisiblespace{}
26330 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
26333 \begin_layout Plain Layout
26337 \begin_layout Plain Layout
26357 \begin_inset space \hfill{}
26361 \begin_inset Tabular
26362 <lyxtabular version="3" rows="8" columns="2">
26363 <features booktabs="true" tabularvalignment="middle">
26364 <column alignment="left" valignment="top" width="0pt">
26365 <column alignment="center" valignment="top">
26367 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
26370 \begin_layout Plain Layout
26376 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
26379 \begin_layout Plain Layout
26387 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26390 \begin_layout Plain Layout
26394 \begin_inset space \textvisiblespace{}
26402 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26405 \begin_layout Plain Layout
26409 \begin_layout Plain Layout
26425 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26428 \begin_layout Plain Layout
26436 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26439 \begin_layout Plain Layout
26443 \begin_layout Plain Layout
26459 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26462 \begin_layout Plain Layout
26466 \begin_inset Index idx
26469 \begin_layout Plain Layout
26480 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26483 \begin_layout Plain Layout
26487 \begin_layout Plain Layout
26503 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26506 \begin_layout Plain Layout
26514 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26517 \begin_layout Plain Layout
26521 \begin_layout Plain Layout
26537 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26540 \begin_layout Plain Layout
26544 \begin_inset space \textvisiblespace{}
26552 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26555 \begin_layout Plain Layout
26559 \begin_layout Plain Layout
26575 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26578 \begin_layout Plain Layout
26582 \begin_inset space \textvisiblespace{}
26590 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26593 \begin_layout Plain Layout
26597 \begin_layout Plain Layout
26613 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26616 \begin_layout Plain Layout
26620 \begin_inset space \textvisiblespace{}
26628 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26631 \begin_layout Plain Layout
26635 \begin_layout Plain Layout
26655 \begin_inset space \hfill{}
26661 \begin_layout Standard
26662 \begin_inset VSpace medskip
26671 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
26676 \begin_inset space \textvisiblespace{}
26685 \begin_layout Plain Layout
26697 \begin_layout Standard
26710 の各アクセントは,\SpecialChar TeX
26711 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
26715 \begin_layout Plain Layout
26716 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.
26740 \begin_layout Standard
26783 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
26785 \begin_inset CommandInset ref
26787 reference "subsec:一文字に付けるアクセント"
26794 \begin_layout Standard
26795 \begin_inset VSpace bigskip
26805 \begin_inset Index idx
26808 \begin_layout Plain Layout
26816 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.
26819 \begin_layout Standard
26821 \begin_inset Tabular
26822 <lyxtabular version="3" rows="3" columns="2">
26823 <features booktabs="true" tabularvalignment="middle">
26824 <column alignment="center" valignment="top" width="0pt">
26825 <column alignment="center" valignment="top">
26827 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
26830 \begin_layout Plain Layout
26836 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
26839 \begin_layout Plain Layout
26847 <cell alignment="center" valignment="top" leftline="true" usebox="none">
26850 \begin_layout Plain Layout
26858 <cell multicolumn="1" alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26861 \begin_layout Plain Layout
26865 \begin_layout Plain Layout
26880 <row topspace="1mm">
26881 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
26884 \begin_layout Plain Layout
26895 raisebox{-1.5pt}{W}}
26900 <cell multicolumn="1" alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
26903 \begin_layout Plain Layout
26907 \begin_layout Plain Layout
26937 \begin_layout Standard
26938 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,
26948 \begin_layout Plain Layout
26950 \begin_inset CommandInset ref
26952 reference "subsec:書体寸法"
26971 \begin_layout Plain Layout
26973 \begin_inset CommandInset ref
26975 reference "subsec:枠なしボックス"
26984 を使って,文字が真ん中にくるようにしています.
26987 \begin_layout Subsection
26989 \begin_inset Index idx
26992 \begin_layout Plain Layout
27001 \begin_layout Standard
27009 \begin_inset Index idx
27012 \begin_layout Plain Layout
27020 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
27021 モード中でも使うことができます.コマンド書式は,
27024 \begin_layout Standard
27032 \begin_layout Standard
27037 oldstylenums{0123456789}
27040 \begin_inset Formula $\oldstylenums{0123456789}$
27046 \begin_layout Section
27048 \begin_inset CommandInset label
27055 \begin_inset Index idx
27058 \begin_layout Plain Layout
27067 \begin_layout Itemize
27072 \begin_layout Description
27076 \begin_layout Description
27079 文書\SpecialChar menuseparator
27089 \begin_layout Standard
27094 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.
27098 \begin_layout Itemize
27101 文書\SpecialChar menuseparator
27112 \begin_layout Description
27116 \begin_layout Description
27121 \begin_layout Standard
27122 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,
27126 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
27127 \begin_inset CommandInset ref
27129 reference "subsec:flalign環境"
27136 \begin_layout Section
27138 \begin_inset CommandInset label
27145 \begin_inset Index idx
27148 \begin_layout Plain Layout
27150 \begin_inset space \thinspace{}
27161 \begin_layout Subsection
27165 \begin_layout Standard
27170 arg "newline-insert newline"
27173 を押すことで作られます.この操作によって,第
27174 \begin_inset CommandInset ref
27176 reference "subsec:eqnarray環境"
27188 オプションが選択されている場合には,第
27189 \begin_inset CommandInset ref
27191 reference "subsec:標準align環境"
27202 \begin_layout Standard
27205 挿入\SpecialChar menuseparator
27208 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.
27211 \begin_layout Standard
27215 arg "newline-insert newline"
27218 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
27221 arg "tabular-feature append-row"
27227 arg "tabular-feature delete-row"
27232 編集\SpecialChar menuseparator
27238 \begin_layout Subsubsection
27240 \begin_inset CommandInset label
27247 \begin_inset Index idx
27250 \begin_layout Plain Layout
27252 \begin_inset space \thinspace{}
27263 \begin_layout Standard
27264 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.
27265 \begin_inset Formula
27267 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}\\
27268 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
27276 \begin_layout Standard
27278 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
27283 \begin_layout Plain Layout
27284 \begin_inset CommandInset href
27286 name "LyX-bug #1505"
27287 target "http://www.lyx.org/trac/ticket/1505"
27297 ので,数式全体を\SpecialChar TeX
27298 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
27306 というコマンドを入れます.すると,次のようになります.
27310 \begin_layout Plain Layout
27317 \begin_layout Plain Layout
27319 B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD &
27322 textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}
27329 \begin_layout Plain Layout
27333 left(B^{2}+x_{0}^{2}
27341 left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}
27346 \begin_layout Plain Layout
27358 \begin_layout Standard
27359 \begin_inset VSpace bigskip
27362 同一数式内のすべての行の行間を一律に指定するには,
27369 \begin_inset Index idx
27372 \begin_layout Plain Layout
27381 \begin_inset Formula $\mbox{行間}=\mathrm{6\,pt+\backslash jot}$
27391 \begin_inset space \thinspace{}
27395 \begin_inset space \thinspace{}
27401 \begin_layout Standard
27411 \begin_layout Standard
27412 というコマンドを,数式直前に\SpecialChar TeX
27413 モードで入れておきます.これを行うには,\SpecialChar LaTeX
27417 \begin_layout Standard
27425 \begin_layout Standard
27426 という行を入れて,\SpecialChar LaTeX
27435 \begin_layout Plain Layout
27440 は標準的な\SpecialChar LaTeX
27447 \begin_inset Index idx
27450 \begin_layout Plain Layout
27456 を読み込んでおく必要があります.すると,
27460 \begin_layout Plain Layout
27472 \begin_inset Formula
27474 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}\\
27475 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
27483 \begin_layout Standard
27487 \begin_layout Plain Layout
27498 のような結果を得ます.行間を既定値に戻すには,
27505 \begin_inset space \thinspace{}
27511 \begin_layout Subsubsection
27513 \begin_inset CommandInset label
27520 \begin_inset Index idx
27523 \begin_layout Plain Layout
27525 \begin_inset space \thinspace{}
27536 \begin_layout Standard
27537 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
27541 \begin_layout Standard
27549 \begin_inset Index idx
27552 \begin_layout Plain Layout
27561 \begin_inset Newline newline
27565 \begin_inset space \thinspace{}
27575 \begin_inset Newline newline
27581 \begin_layout Standard
27591 \begin_layout Standard
27592 というコマンドを\SpecialChar TeX
27593 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
27594 \begin_inset space \thinspace{}
27597 cmになります.これを既定値に戻すには,
27604 \begin_inset space \thinspace{}
27610 \begin_layout Standard
27612 \begin_inset space \thinspace{}
27619 \begin_layout Plain Layout
27631 \begin_inset Formula
27640 \begin_inset space \thinspace{}
27647 \begin_layout Plain Layout
27659 \begin_inset Formula
27670 \begin_layout Subsubsection
27672 \begin_inset Index idx
27675 \begin_layout Plain Layout
27684 \begin_layout Standard
27685 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.
27688 \begin_layout Itemize
27689 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.
27690 \begin_inset Formula
27692 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 \\
27693 & & -\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}
27698 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
27699 示されません.これを避けるために,マイナス記号の後に
27709 \begin_layout Plain Layout
27717 \begin_inset CommandInset ref
27719 reference "subsec:可変長の空白"
27729 \begin_inset Index idx
27732 \begin_layout Plain Layout
27741 \begin_inset space \thinspace{}
27747 \begin_layout Itemize
27755 \begin_inset Index idx
27758 \begin_layout Plain Layout
27766 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.
27767 \begin_inset Formula
27769 \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 \\
27770 & & -\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 \\
27771 & & =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}
27782 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.
27783 \begin_inset Newline newline
27786 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.
27787 \begin_inset VSpace medskip
27791 \begin_inset Newline newline
27795 \begin_inset Note Greyedout
27798 \begin_layout Plain Layout
27805 を使用する際には,以下のことにご注意下さい.
27808 \begin_layout Itemize
27809 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
27810 \begin_inset Formula $-B^{2}$
27813 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.
27816 \begin_layout Itemize
27818 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
27822 \begin_layout Plain Layout
27823 \begin_inset CommandInset href
27825 name "LyX-bug #1429"
27826 target "http://www.lyx.org/trac/ticket/1429"
27837 \begin_inset Flex Ruby
27840 \begin_layout Plain Layout
27842 \begin_inset Argument post:1
27845 \begin_layout Plain Layout
27864 \begin_layout Itemize
27866 \begin_inset CommandInset ref
27868 reference "subsec:multline環境"
27873 \begin_inset CommandInset ref
27875 reference "subsec:数式の一部の多行化"
27879 節で述べられている環境を用いる方法があります.
27882 \begin_layout Subsubsection
27884 \begin_inset CommandInset label
27886 name "subsec:多行にわたる分数"
27891 \begin_inset Index idx
27894 \begin_layout Plain Layout
27895 ぶんすう@分数 ! たぎょうにわたる@多行にわたる
27903 \begin_layout Standard
27904 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,
27911 \begin_inset Index idx
27914 \begin_layout Plain Layout
27922 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
27931 \begin_inset Index idx
27934 \begin_layout Plain Layout
27935 ぱっけーじ@パッケージ ! mathtools
27953 \begin_layout Standard
27958 splitfrac{1行目}{2行目}
27961 \begin_layout Standard
27962 となっており,分母にも分子にも使うことができます.
27965 \begin_layout Standard
27966 \begin_inset Formula
27968 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}
27973 上記の最初の分子に使われているコマンドは,
27976 \begin_layout Standard
27981 splitfrac{xy+xy+xy+xy+xy
27982 \begin_inset space \textvisiblespace{}
27990 \begin_layout Standard
27994 \begin_layout Subsubsection
27996 \begin_inset CommandInset label
27998 name "subsec:多行にわたる括弧"
28003 \begin_inset Index idx
28006 \begin_layout Plain Layout
28007 かっこ@括弧 ! たぎょうすうしきよう@多行数式用
28015 \begin_layout Standard
28016 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.
28017 \begin_inset Formula
28019 A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
28020 & & \left.\cdots+B-D\right]
28028 \begin_layout Standard
28029 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.
28032 \begin_layout Standard
28033 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
28040 \begin_inset Index idx
28043 \begin_layout Plain Layout
28059 \begin_layout Plain Layout
28073 \begin_inset CommandInset ref
28075 reference "subsec:自動の括弧丈"
28087 \begin_inset Index idx
28090 \begin_layout Plain Layout
28098 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,
28111 \begin_inset space \textvisiblespace{}
28121 \begin_inset space \textvisiblespace{}
28131 \begin_inset space \textvisiblespace{}
28137 \begin_inset Formula $\downarrow$
28143 \begin_inset Index idx
28146 \begin_layout Plain Layout
28157 \begin_layout Standard
28159 \begin_inset Formula
28161 A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
28162 & & \left.\vphantom{\prod_{R=1}^{\infty}}\cdots+B-D\right]
28170 \begin_layout Subsection
28174 \begin_layout Standard
28175 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.
28178 \begin_layout Standard
28179 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.
28182 \begin_layout Standard
28185 挿入\SpecialChar menuseparator
28190 編集\SpecialChar menuseparator
28191 数式\SpecialChar menuseparator
28194 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.
28197 \begin_layout Standard
28198 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
28201 arg "tabular-feature append-column"
28207 arg "tabular-feature delete-column"
28212 編集\SpecialChar menuseparator
28218 \begin_layout Subsubsection
28220 \begin_inset CommandInset label
28222 name "subsec:標準align環境"
28227 \begin_inset Index idx
28230 \begin_layout Plain Layout
28232 \begin_inset space \thinspace{}
28235 —— ! alignかんきょう@align環境
28243 \begin_layout Standard
28247 arg "newline-insert newline"
28252 挿入\SpecialChar menuseparator
28253 数式\SpecialChar menuseparator
28259 \begin_layout Standard
28260 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.
28261 \begin_inset Formula
28263 A & =\sin(B) & C & =D\\
28264 C & \ne A & B & \ne D
28269 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
28277 \begin_layout Plain Layout
28285 \begin_inset CommandInset ref
28287 reference "subsec:可変長の空白"
28298 があるかのように配置されます.数式様式として
28304 \begin_layout Plain Layout
28310 \begin_inset CommandInset ref
28312 reference "sec:数式様式"
28332 \begin_layout Subsubsection
28334 \begin_inset Index idx
28337 \begin_layout Plain Layout
28339 \begin_inset space \thinspace{}
28342 —— ! alignatかんきょう@alignat環境
28350 \begin_layout Standard
28351 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
28352 \begin_inset CommandInset ref
28354 reference "subsec:空白"
28358 節に述べられている空白を使用して手動で入れます.
28361 \begin_layout Standard
28362 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
28363 \begin_inset space \thinspace{}
28367 \begin_inset Formula
28368 \begin{alignat*}{2}
28369 A & =\sin(B) & \hspace{1cm}C & =D\\
28370 C & \ne A & B & \ne D
28375 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.
28378 \begin_layout Subsubsection
28380 \begin_inset CommandInset label
28382 name "subsec:flalign環境"
28387 \begin_inset Index idx
28390 \begin_layout Plain Layout
28392 \begin_inset space \thinspace{}
28395 —— ! flalignかんきょう@flalign環境
28403 \begin_layout Standard
28404 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.
28405 \begin_inset Formula
28407 A & =1 & B & =2 & C & =3\\
28408 X & =\textrm{-}1 & Y & =\textrm{-}2 & Z & =4
28416 \begin_layout Standard
28417 奇数列のflalign環境を作成し,最後の列に空の\SpecialChar TeX
28422 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
28423 \begin_inset CommandInset ref
28425 reference "eq:VolInt"
28430 \begin_inset Formula
28432 \hspace{30pt}\iiint\limits _{V}X\,\mathrm{d}V & =U & {}
28437 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
28438 \begin_inset space \thinspace{}
28441 ptの空白が第1列の頭に入れてあります.
28444 \begin_layout Subsection
28446 \begin_inset CommandInset label
28448 name "subsec:eqnarray環境"
28453 \begin_inset Index idx
28456 \begin_layout Plain Layout
28458 \begin_inset space \thinspace{}
28461 —— ! eqnarrayかんきょう@eqnarray環境
28469 \begin_layout Standard
28470 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
28471 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.
28472 \begin_inset Formula
28474 \frac{ABC}{D} & \frac{ABC}{D} & \frac{ABC}{D}\\
28484 \begin_layout Subsection
28486 \begin_inset Index idx
28489 \begin_layout Plain Layout
28491 \begin_inset space \thinspace{}
28494 —— ! gatherかんきょう@gather環境
28502 \begin_layout Standard
28503 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.
28504 \begin_inset Formula
28515 \begin_layout Subsection
28517 \begin_inset CommandInset label
28519 name "subsec:multline環境"
28524 \begin_inset Index idx
28527 \begin_layout Plain Layout
28529 \begin_inset space \thinspace{}
28532 —— ! multlineかんきょう@multpline環境
28540 \begin_layout Standard
28541 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
28542 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,
28543 \begin_inset CommandInset ref
28545 reference "eq:lefteqn"
28549 式をmultline環境に置いたものを示します.
28550 \begin_inset Formula
28552 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}\\
28553 -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}\\
28554 =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}}
28562 \begin_layout Standard
28563 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
28567 \begin_layout Plain Layout
28569 \begin_inset CommandInset ref
28571 reference "sec:数式様式"
28583 \begin_layout Standard
28589 \begin_inset Index idx
28592 \begin_layout Plain Layout
28603 \begin_inset Index idx
28606 \begin_layout Plain Layout
28616 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.
28619 \begin_layout Standard
28633 \begin_layout Standard
28634 \begin_inset VSpace medskip
28642 \begin_inset Index idx
28645 \begin_layout Plain Layout
28655 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
28656 \begin_inset space \thinspace{}
28662 \begin_layout Standard
28666 \begin_layout Standard
28676 \begin_layout Standard
28677 というコマンドを,\SpecialChar TeX
28682 \begin_layout Plain Layout
28694 \begin_inset Formula
28696 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}\\
28697 \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}}\\
28698 =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}}
28707 \begin_layout Plain Layout
28727 \begin_layout Subsection
28729 \begin_inset CommandInset label
28731 name "subsec:数式の一部の多行化"
28736 \begin_inset Index idx
28739 \begin_layout Plain Layout
28741 \begin_inset space \thinspace{}
28744 —— ! すうしきのいちぶ@数式の一部
28752 \begin_layout Standard
28753 数式の一部分のみを多行表示したい場合には,
28769 のうちのいずれかの環境を使用します.これらは,
28771 挿入\SpecialChar menuseparator
28774 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.
28777 \begin_layout Standard
28782 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,
28783 \begin_inset Formula
28785 \left.\begin{aligned}\Delta x\Delta p & \ge\frac{\hbar}{2}\\
28786 \Delta E\Delta t & \ge\frac{\hbar}{2}
28788 \right\} \textrm{不確定性原理}
28796 \begin_layout Standard
28797 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
28802 \begin_inset Index idx
28805 \begin_layout Plain Layout
28815 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
28819 \begin_layout Standard
28820 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
28821 に配置できる利点があります.以下に例として,
28822 \begin_inset CommandInset ref
28824 reference "eq:shortlong"
28828 式にaligned環境を適用したものを示します.
28829 \begin_inset Formula
28831 \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}|}\\
28832 & -\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}|}
28841 \begin_layout Standard
28861 \begin_inset Index idx
28864 \begin_layout Plain Layout
28879 \begin_inset Index idx
28882 \begin_layout Plain Layout
28897 \begin_inset Index idx
28900 \begin_layout Plain Layout
28908 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.
28911 \begin_layout Subsection
28913 \begin_inset CommandInset label
28915 name "subsec:多行数式中のテキスト"
28920 \begin_inset Index idx
28923 \begin_layout Plain Layout
28924 てきすと @ テキスト ! すうしきちゅうの @ 数式中の
28930 \begin_inset Index idx
28933 \begin_layout Plain Layout
28934 すうしき @ 数式 ! たぎょう @ 多行
28935 \begin_inset space \thinspace{}
28946 \begin_layout Standard
28947 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
28955 \begin_inset Index idx
28958 \begin_layout Plain Layout
28969 \begin_layout Standard
28977 \begin_layout Standard
28978 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
28985 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,
28991 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.
28992 \begin_inset Formula
28994 I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
28995 \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
29003 \begin_layout Standard
29010 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
29019 \begin_inset Index idx
29022 \begin_layout Plain Layout
29023 ぱっけーじ@パッケージ ! mathtools
29032 に設定してください.そうすると,以下のように,
29045 \begin_inset Index idx
29048 \begin_layout Plain Layout
29057 \begin_inset Formula
29059 I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
29060 \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
29068 \begin_layout Section
29070 \begin_inset Index idx
29073 \begin_layout Plain Layout
29080 \begin_inset Index idx
29083 \begin_layout Plain Layout
29088 \begin_layout Plain Layout
29099 \begin_layout Plain Layout
29114 \begin_layout Subsection
29118 \begin_layout Standard
29121 挿入\SpecialChar menuseparator
29122 数式\SpecialChar menuseparator
29126 \begin_inset Flex Ruby
29129 \begin_layout Plain Layout
29131 \begin_inset Argument post:1
29134 \begin_layout Plain Layout
29148 \begin_inset space ~
29153 )で作ることができます.既存の数式に番号を振るには,
29155 編集\SpecialChar menuseparator
29156 数式\SpecialChar menuseparator
29162 arg "math-number-toggle"
29165 )を使います.\SpecialChar LyX
29166 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.
29169 \begin_layout Standard
29170 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,
29172 編集\SpecialChar menuseparator
29173 数式\SpecialChar menuseparator
29179 arg "math-number-line-toggle"
29182 )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.
29185 \begin_layout Standard
29186 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
29187 \begin_inset CommandInset ref
29189 reference "sec:数式様式"
29196 \begin_layout Subsection
29198 \begin_inset Index idx
29201 \begin_layout Plain Layout
29202 そうごさんしょう@相互参照 ! すうしきへの@数式への
29210 \begin_layout Standard
29211 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,
29213 挿入\SpecialChar menuseparator
29222 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
29226 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
29227 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,
29229 挿入\SpecialChar menuseparator
29235 \begin_layout Standard
29237 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.
29240 \begin_layout Standard
29243 挿入\SpecialChar menuseparator
29249 arg "dialog-show-new-inset ref"
29252 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「
29256 」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.
29257 \begin_inset Newline newline
29261 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.
29264 \begin_layout Standard
29265 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.
29266 \begin_inset Note Note
29269 \begin_layout Plain Layout
29270 相互参照の型の違いに留意してください.
29278 \begin_layout Standard
29279 \begin_inset CommandInset ref
29286 \begin_inset CommandInset ref
29293 \begin_inset CommandInset ref
29300 \begin_inset CommandInset ref
29306 )式では,付番にラテン数字を使用しています.
29309 \begin_layout Standard
29310 \begin_inset VSpace medskip
29321 \begin_layout Plain Layout
29329 \begin_inset CommandInset ref
29331 reference "subsec:自己定義番号"
29343 \begin_inset CommandInset ref
29345 reference "subsec:段落ボックス"
29349 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.
29352 \begin_layout Subsection
29354 \begin_inset Index idx
29357 \begin_layout Plain Layout
29358 すうしきばんごう@数式番号 ! さいもくばんごう@細目番号
29366 \begin_layout Standard
29369 Formulas can be numbered as subequations.
29370 To activate this feature, add the module
29374 to the document in the menu
29376 Document\SpecialChar menuseparator
29377 Settings\SpecialChar menuseparator
29381 To insert subequations use the menu
29383 Insert\SpecialChar menuseparator
29384 Custom Insets\SpecialChar menuseparator
29390 \begin_layout Standard
29393 The equations to be subnumbered are put into the
29400 \begin_inset Formula
29408 \begin_inset VSpace -5mm
29412 \begin_inset Flex Subequations
29415 \begin_layout Plain Layout
29416 \begin_inset Formula
29424 \begin_inset Formula
29439 \begin_layout Standard
29442 Every formula in the
29446 inset will be subnumbered with
29448 a・b・c\SpecialChar ldots
29452 \begin_layout Standard
29454 \begin_inset CommandInset ref
29461 \begin_inset CommandInset ref
29469 If you want to reference the subequations collectively, insert a label as
29477 \begin_inset CommandInset ref
29486 \begin_layout Standard
29489 By inserting subequations vertical space is added before it
29492 \begin_inset space \thinspace{}
29497 vertical space right before the
29509 \begin_layout Plain Layout
29511 \begin_inset CommandInset ref
29513 reference "sec:数式様式"
29525 \begin_inset space \thinspace{}
29531 \begin_layout Standard
29534 To get another subnumber instead of small Latin letters, insert this command
29535 as \SpecialChar TeX
29536 code before the equations in the
29543 \begin_layout Standard
29552 theparentequation -
29557 \begin_layout Standard
29560 theparentequationは親番号を生成し,
29562 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
29563 \begin_inset CommandInset ref
29565 reference "subsec:ローマ数字や文字を使った付番"
29572 \begin_layout Standard
29573 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.
29574 \begin_inset Flex Subequations
29577 \begin_layout Plain Layout
29578 \begin_inset CommandInset label
29588 \begin_layout Plain Layout
29596 theparentequation -
29604 \begin_inset Formula
29606 A & = & (B-Z)^{2}=(B-Z)(B-Z)\\
29607 & = & B^{2}-ZB-BZ+Z^{2}\nonumber \\
29608 & = & B^{2}-2BZ+Z^{2}
29621 \begin_layout Subsection
29623 \begin_inset CommandInset label
29625 name "subsec:ローマ数字や文字を使った付番"
29630 \begin_inset Index idx
29633 \begin_layout Plain Layout
29634 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
29640 \begin_inset Index idx
29643 \begin_layout Plain Layout
29644 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
29652 \begin_layout Standard
29653 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
29657 \begin_layout Standard
29669 \begin_layout Standard
29677 \begin_inset Index idx
29680 \begin_layout Plain Layout
29704 \begin_layout Plain Layout
29712 \begin_inset CommandInset ref
29714 reference "subsec:newcommandコマンド"
29739 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
29751 \begin_inset Index idx
29754 \begin_layout Plain Layout
29764 は,カウンタを小文字のローマ数字として出力します.
29767 \begin_layout Standard
29778 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
29791 \begin_inset Index idx
29794 \begin_layout Plain Layout
29804 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,
29811 \begin_inset Index idx
29814 \begin_layout Plain Layout
29822 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,
29829 \begin_inset Index idx
29832 \begin_layout Plain Layout
29845 \begin_layout Standard
29846 \begin_inset Note Greyedout
29849 \begin_layout Plain Layout
29854 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.
29860 \begin_inset Newpage newpage
29866 \begin_layout Standard
29870 \begin_layout Plain Layout
29886 \begin_layout Standard
29887 \begin_inset Formula
29889 A=\textrm{小文字ローマ数字}
29898 \begin_layout Plain Layout
29912 \begin_inset Formula
29914 B=\textrm{大文字ローマ数字}\label{eq:Rom}
29923 \begin_layout Plain Layout
29937 \begin_inset Formula
29939 C=\textrm{小文字ラテン文字}
29948 \begin_layout Plain Layout
29962 \begin_inset Formula
29964 D=\textrm{大文字ラテン文字}\label{eq:Lat}
29972 \begin_layout Standard
29973 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.
29976 \begin_layout Standard
29986 \begin_inset Index idx
29989 \begin_layout Plain Layout
30000 \begin_layout Standard
30004 \begin_layout Plain Layout
30018 \begin_inset Formula
30028 \begin_layout Standard
30029 \begin_inset VSpace medskip
30032 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
30033 てはなりません.この点に関する説明は,ファイル
30034 \begin_inset CommandInset href
30036 name "Formula-numbering.lyx"
30037 target "run:Formula-numbering.lyx"
30045 \begin_layout Subsection
30047 \begin_inset CommandInset label
30049 name "subsec:自己定義番号"
30054 \begin_inset Index idx
30057 \begin_layout Plain Layout
30058 すうしきばんごう@数式番号 ! じこていぎ@自己定義
30066 \begin_layout Standard
30067 \begin_inset Index idx
30070 \begin_layout Plain Layout
30071 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
30076 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
30077 プリアンブルに以下の行を付け加えます.
30080 \begin_layout Standard
30092 \begin_inset Formula $\boldsymbol{|}$
30100 \begin_inset Formula $\boldsymbol{|}$
30108 \begin_inset Note Note
30111 \begin_layout Plain Layout
30112 このマクロは,テスト用に\SpecialChar LaTeX
30113 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.
30121 \begin_layout Standard
30126 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.
30129 \begin_layout Standard
30130 \begin_inset VSpace bigskip
30133 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
30140 \begin_inset Index idx
30143 \begin_layout Plain Layout
30152 \begin_inset Formula
30154 A+B=C\tag{何とかかんとか}\label{eq:tag}
30164 \begin_inset space \textvisiblespace{}
30169 というコマンドを数式に打ち込んでいます.
30172 \begin_layout Standard
30178 \begin_inset space \textvisiblespace{}
30183 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.
30184 \begin_inset Formula
30186 A+B=C\tag*{something}
30194 \begin_layout Standard
30195 \begin_inset VSpace bigskip
30198 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
30199 \begin_inset Newline newline
30206 @addtoreset{equation}{part}
30209 \begin_inset Index idx
30212 \begin_layout Plain Layout
30221 \begin_layout Plain Layout
30232 \begin_layout Plain Layout
30245 \begin_inset Newline newline
30249 \begin_inset Newline newline
30256 @addtoreset{equation}{section}
30257 \begin_inset Newline newline
30265 \begin_layout Standard
30266 これらのコマンドを\SpecialChar TeX
30273 コマンドで「@」字を\SpecialChar LaTeX
30274 中で「有効」にしてやらなくてはなりません.一方,
30280 コマンドはこれを無効にします.したがって,\SpecialChar TeX
30284 \begin_layout Standard
30290 \begin_inset Newline newline
30295 @addtoreset{equation}{section}
30296 \begin_inset Newline newline
30302 \begin_inset Newline newline
30310 \begin_layout Standard
30325 が内部的に自動で挿入するので省略してかまいません.
30328 \begin_layout Standard
30335 を戻すには,まず\SpecialChar LaTeX
30339 \begin_layout Standard
30344 usepackage{remreset}
30347 \begin_layout Standard
30356 \begin_layout Plain Layout
30361 は,\SpecialChar LaTeX
30367 \begin_inset Index idx
30370 \begin_layout Plain Layout
30371 ぱっけーじ@パッケージ ! carlisle
30376 の一部として含まれており,\SpecialChar LaTeX
30383 \begin_inset Index idx
30386 \begin_layout Plain Layout
30387 ぱっけーじ@パッケージ ! remreset
30392 ファイルを読み込んでおかなくてはなりません.その後
30393 \begin_inset Newline newline
30403 \begin_inset Index idx
30406 \begin_layout Plain Layout
30415 \begin_layout Plain Layout
30426 \begin_layout Plain Layout
30453 \begin_layout Standard
30454 \begin_inset VSpace bigskip
30460 \begin_layout Standard
30466 \begin_layout Standard
30467 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.
30470 \begin_layout Standard
30478 \begin_inset Index idx
30481 \begin_layout Plain Layout
30492 \begin_layout Standard
30497 numberwithin{カウンタ}{節階層}
30500 \begin_layout Standard
30501 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.
30504 \begin_layout Standard
30505 したがって,ここでは\SpecialChar LaTeX
30506 プリアンブルか\SpecialChar TeX
30510 \begin_layout Standard
30515 numberwithin{equation}{section}
30518 \begin_layout Standard
30519 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.
30523 \begin_layout Plain Layout
30527 numberwithin{equation}{section}
30533 \begin_inset Formula
30543 \begin_layout Standard
30544 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
30545 \begin_inset Newline newline
30552 numberwithin{table}{part}
30557 \begin_layout Standard
30558 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,
30561 \begin_layout Standard
30571 \begin_inset Index idx
30574 \begin_layout Plain Layout
30588 \begin_layout Plain Layout
30604 \begin_inset Newline newline
30612 \begin_inset Newline newline
30624 \begin_layout Standard
30625 というコマンドを\SpecialChar TeX
30626 コードとして入れるか,\SpecialChar LaTeX
30639 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.
30643 \begin_layout Plain Layout
30650 \begin_layout Plain Layout
30654 @removefromreset{equation}{section}
30657 \begin_layout Plain Layout
30669 \begin_layout Section
30671 \begin_inset CommandInset label
30673 name "subsec:化学記号と化学式"
30678 \begin_inset Index idx
30681 \begin_layout Plain Layout
30682 かがくきごう@化学記号 ! きごう@記号
30688 \begin_inset Index idx
30691 \begin_layout Plain Layout
30698 \begin_inset Index idx
30701 \begin_layout Plain Layout
30710 \begin_layout Standard
30714 \begin_layout Quote
30715 \begin_inset Formula $\mathrm{SO_{4}^{2-}}$
30719 \begin_inset Formula $\mathrm{Na^{+}}$
30723 \begin_inset Formula $\left(\mathrm{Na_{2}SO_{4}}\right)$
30726 を形成します.この化学式は以下のようになります.
30727 \begin_inset Formula
30729 \mathrm{2\,Na^{+}+SO_{4}^{2-}\longrightarrow Na_{2}SO_{4}}\label{eq:chem-reaction}
30737 \begin_layout Standard
30738 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
30739 \begin_inset Flex Ruby
30742 \begin_layout Plain Layout
30744 \begin_inset Argument post:1
30747 \begin_layout Plain Layout
30764 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
30768 \begin_layout Plain Layout
30770 \begin_inset CommandInset ref
30772 reference "subsec:書体様式"
30784 \begin_layout Standard
30785 化学式を組版するのにもう少し便利な方法は,\SpecialChar LaTeX
30791 \begin_inset Index idx
30794 \begin_layout Plain Layout
30795 ぱっけーじ@パッケージ ! mhchem
30800 が導入されているときに使用することができる
30807 \begin_inset Index idx
30810 \begin_layout Plain Layout
30824 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.
30827 \begin_layout Standard
30829 \begin_inset Tabular
30830 <lyxtabular version="3" rows="10" columns="2">
30831 <features booktabs="true" tabularvalignment="middle">
30832 <column alignment="center" valignment="top" width="0pt">
30833 <column alignment="center" valignment="top">
30835 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
30838 \begin_layout Plain Layout
30844 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
30847 \begin_layout Plain Layout
30855 <cell alignment="center" valignment="top" leftline="true" usebox="none">
30858 \begin_layout Plain Layout
30862 \begin_inset space \textvisiblespace{}
30870 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
30873 \begin_layout Plain Layout
30874 \begin_inset Formula $\ce{H2CO3}$
30883 <row topspace="1.5mm">
30884 <cell alignment="center" valignment="top" usebox="none">
30887 \begin_layout Plain Layout
30891 \begin_inset space \textvisiblespace{}
30899 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
30902 \begin_layout Plain Layout
30903 \begin_inset Formula $\ce{SO4^{2-}}$
30912 <row topspace="1.5mm">
30913 <cell alignment="center" valignment="top" usebox="none">
30916 \begin_layout Plain Layout
30920 \begin_inset space \textvisiblespace{}
30928 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
30931 \begin_layout Plain Layout
30932 \begin_inset Formula $\ce{(NH4)2S}$
30941 <row topspace="1.5mm">
30942 <cell alignment="center" valignment="top" usebox="none">
30945 \begin_layout Plain Layout
30949 \begin_inset space \textvisiblespace{}
30957 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
30960 \begin_layout Plain Layout
30961 \begin_inset Formula $\ce{KCr(SO4)2.12H2O}$
30970 <row topspace="1.5mm">
30971 <cell alignment="center" valignment="top" usebox="none">
30974 \begin_layout Plain Layout
30978 \begin_inset space \textvisiblespace{}
30984 \begin_inset space \textvisiblespace{}
30990 \begin_inset space \textvisiblespace{}
30998 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
31001 \begin_layout Plain Layout
31002 \begin_inset Formula $\ce{A-B\dbond C\tbond D}$
31011 <row topspace="1.5mm">
31012 <cell alignment="center" valignment="top" usebox="none">
31015 \begin_layout Plain Layout
31019 \begin_inset space \textvisiblespace{}
31023 \begin_inset Formula $\downarrow$
31027 \begin_inset Formula $\to$
31035 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
31038 \begin_layout Plain Layout
31039 \begin_inset Formula $\ce{_{90}^{227}Th+}$
31049 <cell alignment="center" valignment="top" leftline="true" 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 $\ce{\ensuremath{\mu\hyphen}Cl}$
31090 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
31093 \begin_layout Plain Layout
31097 \begin_inset space \textvisiblespace{}
31101 \begin_inset space \textvisiblespace{}
31105 \begin_inset space \textvisiblespace{}
31109 \begin_inset space \textvisiblespace{}
31113 \begin_inset space \textvisiblespace{}
31121 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
31124 \begin_layout Plain Layout
31125 \begin_inset Formula $\ce{CO2 + C <=> 2CO}$
31134 <row topspace="1.5mm">
31135 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
31138 \begin_layout Plain Layout
31142 \begin_inset space \textvisiblespace{}
31146 \begin_inset space \textvisiblespace{}
31150 \begin_inset space \textvisiblespace{}
31154 \begin_inset space \textvisiblespace{}
31162 \begin_inset space \textvisiblespace{}
31170 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
31173 \begin_layout Plain Layout
31174 \begin_inset Formula $\ce{CO2 + C ->[\alpha][\beta] 2CO}$
31190 \begin_layout Standard
31191 \begin_inset Note Greyedout
31194 \begin_layout Plain Layout
31204 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
31213 \begin_inset Formula $\ce{Fe + 2H+ -> Fe^{2+} + H2\negthinspace\uparrow}$
31224 \begin_layout Standard
31232 \begin_inset CommandInset ref
31234 reference "eq:chem-reaction"
31239 \begin_inset Newline newline
31247 \begin_inset space \textvisiblespace{}
31251 \begin_inset space \textvisiblespace{}
31255 \begin_inset space \textvisiblespace{}
31259 \begin_inset space \textvisiblespace{}
31263 \begin_inset space \textvisiblespace{}
31267 \begin_inset space \textvisiblespace{}
31271 \begin_inset Newline newline
31279 \begin_layout Standard
31281 \begin_inset CommandInset ref
31283 reference "sec:多行数式"
31287 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
31294 \begin_inset CommandInset ref
31296 reference "eq:TEOS-reaction-1"
31301 \begin_inset CommandInset ref
31303 reference "eq:TEOS-reaction-2"
31307 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.
31308 \begin_inset Formula
31310 \ce{TEOS + 4O} & \ce{->} & \ce{Si(OH)4 + 4C2H4O}\label{eq:TEOS-reaction-1}\\
31311 \ce{Si(OH)4} & \ce{->} & \ce{SiO2 + 2H2O}\label{eq:TEOS-reaction-2}
31319 \begin_layout Standard
31337 \begin_inset Index idx
31340 \begin_layout Plain Layout
31359 \begin_inset CommandInset citation
31369 \begin_layout Section
31373 \begin_layout Standard
31383 をサポートしており,以下でこれらの説明をします.
31386 \begin_layout Subsection
31388 \begin_inset Index idx
31391 \begin_layout Plain Layout
31400 \begin_layout Standard
31401 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.
31402 \begin_inset Formula
31404 \begin{CD}A@>>>B@>>>C\\
31415 \begin_layout Standard
31421 \begin_inset Index idx
31424 \begin_layout Plain Layout
31434 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.
31437 arg "newline-insert newline"
31440 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.
31443 \begin_layout Standard
31444 関係を作るには,以下のコマンドがあります.
31447 \begin_layout Itemize
31448 \begin_inset Formula $\boldsymbol{@<<<}$
31452 \begin_inset Formula $\boldsymbol{@>>>}$
31462 \begin_layout Itemize
31472 \begin_inset Formula $\boldsymbol{@|}$
31478 \begin_layout Itemize
31486 \begin_layout Standard
31487 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.
31490 \begin_layout Itemize
31492 \begin_inset Formula $<$
31496 \begin_inset Formula $>$
31499 」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「
31500 \begin_inset Formula $<$
31504 \begin_inset Formula $>$
31507 」のあいだに入れると,矢印の下に表示されます.
31510 \begin_layout Itemize
31511 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
31512 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
31516 \begin_layout Standard
31517 以下は,上記のすべての関係を使った例です.
31520 \begin_layout Standard
31521 \begin_inset Formula
31523 \begin{CD}A@>j>>B@>>k>C@=F\\
31534 \begin_layout Standard
31535 これを作るコマンドは,以下のとおりです.
31536 \begin_inset Newline newline
31544 \begin_inset space \textvisiblespace{}
31548 \begin_inset Formula $\boldsymbol{@>}$
31552 \begin_inset Formula $\boldsymbol{>>}$
31556 \begin_inset Formula $\boldsymbol{@>>}$
31560 \begin_inset Formula $\boldsymbol{>}$
31564 \begin_inset Newline newline
31568 \begin_inset Phantom HPhantom
31571 \begin_layout Plain Layout
31577 \begin_inset space \textvisiblespace{}
31590 \begin_inset Formula $\to$
31596 \begin_inset Formula $\boldsymbol{@|}$
31600 \begin_inset Newline newline
31604 \begin_inset Phantom HPhantom
31607 \begin_layout Plain Layout
31613 \begin_inset space \textvisiblespace{}
31622 \begin_inset Formula $\boldsymbol{@<<}$
31626 \begin_inset Formula $\boldsymbol{<}$
31630 \begin_inset Formula $\boldsymbol{@>}$
31634 \begin_inset Formula $\boldsymbol{>>}$
31640 \begin_layout Subsection
31642 \begin_inset Index idx
31645 \begin_layout Plain Layout
31654 \begin_layout Standard
31655 xymatricesを使うには,\SpecialChar LaTeX
31660 が導入済みである必要があります.xymatrixは,数式中に
31666 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
31667 \begin_inset CommandInset ref
31676 \begin_layout Standard
31677 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,
31679 ヘルプ\SpecialChar menuseparator
31680 用途別説明書\SpecialChar menuseparator
31690 \begin_layout Subsection
31694 \begin_inset Index idx
31697 \begin_layout Plain Layout
31706 \begin_layout Standard
31707 ファインマン図を使うには,\SpecialChar LaTeX
31712 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
31718 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
31719 \begin_inset CommandInset ref
31728 \begin_layout Standard
31730 でのファインマン図の作り方は,メニュー
31732 ヘルプ\SpecialChar menuseparator
31742 \begin_layout Section
31744 \begin_inset Index idx
31747 \begin_layout Plain Layout
31756 \begin_layout Standard
31757 \begin_inset Note Greyedout
31760 \begin_layout Plain Layout
31761 【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.
31769 \begin_layout Subsection
31773 \begin_inset CommandInset label
31775 name "subsec:newcommandコマンド"
31780 \begin_inset Index idx
31783 \begin_layout Plain Layout
31784 じこていぎこまんど@自己定義コマンド !
31792 \begin_inset Index idx
31795 \begin_layout Plain Layout
31806 \begin_layout Standard
31807 頻繁に用いるには,長すぎる\SpecialChar LaTeX
31814 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.
31817 \begin_layout Standard
31827 \begin_layout Standard
31832 newcommand{新コマンド名}[引数の数][オプションの値]
31833 \begin_inset Newline newline
31837 \begin_inset Phantom HPhantom
31840 \begin_layout Plain Layout
31853 \begin_layout Standard
31857 \begin_layout Standard
31858 \begin_inset Note Greyedout
31861 \begin_layout Plain Layout
31866 新コマンド名が,使用中の文書や呼び出している\SpecialChar LaTeX
31867 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,
31886 \begin_inset Formula $\le$
31889 」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.
31897 \begin_layout Standard
31899 \begin_inset space \thinspace{}
31903 \begin_inset space \thinspace{}
31906 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
31911 引数は,自動的に非必須の引数になります.
31914 \begin_layout Standard
31918 \begin_layout Itemize
31931 というコマンドを定義するには,\SpecialChar LaTeX
31933 \begin_inset VSpace medskip
31937 \begin_inset Newline newline
31951 \begin_layout Itemize
31964 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.
31965 \begin_inset VSpace medskip
31969 \begin_inset Newline newline
31983 \begin_inset VSpace medskip
31987 \begin_inset Newline newline
31994 」という文字は,引数の入る場所を示し,その後ろの「
31998 」は,これが第1引数の入る場所であることを示します.
32001 \begin_layout Itemize
32015 \begin_inset VSpace medskip
32019 \begin_inset Newline newline
32030 framebox#1#2{$#3$}}
32033 \begin_inset VSpace medskip
32037 \begin_inset Newline newline
32046 が必要とする内部の数式を作り出します.第
32047 \begin_inset CommandInset ref
32049 reference "subsec:枠付きボックス"
32056 \begin_layout Itemize
32063 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.
32064 \begin_inset VSpace medskip
32068 \begin_inset Newline newline
32079 fcolorbox{#2}{#1}{$#3$}}
32082 \begin_inset VSpace medskip
32086 \begin_inset Newline newline
32095 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
32102 \begin_layout Standard
32103 以下は,上で定義したコマンドの動作テストです.
32106 \begin_layout Standard
32108 \begin_inset Tabular
32109 <lyxtabular version="3" rows="6" columns="2">
32110 <features booktabs="true" tabularvalignment="middle">
32111 <column alignment="center" valignment="top" width="0pt">
32112 <column alignment="center" valignment="top">
32114 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
32117 \begin_layout Plain Layout
32123 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
32126 \begin_layout Plain Layout
32134 <cell alignment="center" valignment="top" leftline="true" usebox="none">
32137 \begin_layout Plain Layout
32141 \begin_inset space \textvisiblespace{}
32149 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
32152 \begin_layout Plain Layout
32153 \begin_inset Formula $A\gr B$
32163 <cell alignment="center" valignment="top" leftline="true" usebox="none">
32166 \begin_layout Plain Layout
32174 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
32177 \begin_layout Plain Layout
32178 \begin_inset Formula $\us{ABcd}$
32187 <row topspace="1mm">
32188 <cell alignment="center" valignment="top" usebox="none">
32191 \begin_layout Plain Layout
32195 \begin_inset Formula $\to$
32201 \begin_inset Formula $\to$
32209 \begin_inset space \textvisiblespace{}
32217 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
32220 \begin_layout Plain Layout
32221 \begin_inset Formula $\fb{[2cm]}{}{\int A=B}$
32230 <row topspace="1.5mm">
32231 <cell alignment="center" valignment="top" usebox="none">
32234 \begin_layout Plain Layout
32238 \begin_inset Formula $\to$
32246 \begin_inset space \textvisiblespace{}
32254 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
32257 \begin_layout Plain Layout
32258 \begin_inset Formula $\cb{red}{\int A=B}$
32267 <row topspace="1.5mm" bottomspace="1mm">
32268 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
32271 \begin_layout Plain Layout
32277 \begin_inset Formula $\to$
32285 \begin_inset space \textvisiblespace{}
32293 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
32296 \begin_layout Plain Layout
32297 \begin_inset Formula $\cb[green]{red}{\int A=B}$
32313 \begin_layout Subsection
32315 \begin_inset Index idx
32318 \begin_layout Plain Layout
32319 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
32325 \begin_inset Index idx
32328 \begin_layout Plain Layout
32337 \begin_layout Standard
32338 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
32340 \begin_inset Formula
32342 0=\lambda^{2}+p\lambda+q
32348 \begin_inset Formula
32350 \lambda_{1,2}=-\frac{p}{2}\pm\sqrt{\frac{p²}{4}-q}
32358 \begin_layout Standard
32360 \begin_inset Formula $\lambda$
32364 \begin_inset Formula $p$
32368 \begin_inset Formula $q$
32371 の3つのパラメータを指定することが必須であり,
32372 \begin_inset Formula $\lambda$
32375 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
32377 \begin_inset Newline newline
32393 \begin_inset Newline newline
32397 \begin_inset Phantom HPhantom
32400 \begin_layout Plain Layout
32414 frac{#3^{2}}{4}-#4}}
32417 \begin_layout Standard
32419 \begin_inset Newline newline
32429 \begin_inset Formula $\to$
32435 \begin_inset Formula $\to$
32445 \begin_layout Standard
32446 新コマンドを定義する方法は,たとえば\SpecialChar LaTeX
32453 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
32454 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
32455 あり,それをやってしまうと,\SpecialChar LyX
32456 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
32463 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.
32466 \begin_layout Standard
32469 挿入\SpecialChar menuseparator
32470 数式\SpecialChar menuseparator
32476 arg "math-macro newmacroname_newcommand"
32479 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.
32480 \begin_inset Newline newline
32484 \begin_inset space \hspace*{\fill}
32488 \begin_inset Graphics
32489 filename clipart/macrobox.png
32495 \begin_inset space \hspace*{\fill}
32499 \begin_inset Newline newline
32503 \begin_inset FormulaMacro
32504 \newcommand{\qG}[4][1,\,2]{#2_{#1}=-\frac{#3}{2}\pm\sqrt{\frac{#3^{2}}{4}-#4}}
32509 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,
32521 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
32524 arg "math-macro-add-param"
32527 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
32530 arg "math-macro-add-optional-param"
32533 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
32536 arg "math-macro-make-optional"
32539 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
32540 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
32541 ,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
32542 \begin_inset Newline newline
32572 \begin_inset Newline newline
32577 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
32578 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
32580 \begin_inset Newline newline
32583 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,
32585 表示\SpecialChar menuseparator
32588 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.
32591 \begin_layout Standard
32592 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,
32598 とします.このマクロは,\SpecialChar LyX
32600 \begin_inset Newline newline
32604 \begin_inset space \hspace*{\fill}
32608 \begin_inset Graphics
32609 filename ../clipart/macrouse.png
32615 \begin_inset space \hspace*{\fill}
32619 \begin_inset Newline newline
32623 \begin_inset Formula $x$
32627 \begin_inset Formula $\ln(x)$
32631 \begin_inset Formula $B$
32637 \begin_layout Standard
32638 \begin_inset Formula
32648 \begin_layout Standard
32652 ツール\SpecialChar menuseparator
32653 設定\SpecialChar menuseparator
32654 編集\SpecialChar menuseparator
32657 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
32661 \begin_layout Standard
32662 数式マクロは,文書書き出し時に,内部的に
32668 コマンドに変換されます.こうして生成された
32674 コマンドは,\SpecialChar LaTeX
32675 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.
32678 \begin_layout Standard
32685 コマンドから直接作ることもできます.たとえば,\SpecialChar LyX
32689 \begin_inset Newline newline
32698 xleftarrow[#2]{#1}}
32699 \begin_inset Newline newline
32704 というコマンドを書き入れ,この全体を選択して,
32705 \begin_inset Flex Ruby
32708 \begin_layout Plain Layout
32710 \begin_inset Argument post:1
32713 \begin_layout Plain Layout
32728 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,
32734 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
32738 \begin_layout Standard
32739 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
32740 \begin_inset CommandInset ref
32742 reference "subsec:newcommandコマンド"
32752 は,マクロとしては作ることができません.
32755 \begin_layout Standard
32756 カーソルがマクロ定義ボックスの中にあるとき,\SpecialChar LyX
32757 中に以下のようなマクロツールバーが表示されます.
32760 \begin_layout Standard
32761 \begin_inset VSpace defskip
32767 \begin_layout Standard
32768 \begin_inset Graphics
32769 filename ../clipart/MacroToolbar.png
32774 \begin_inset Index idx
32777 \begin_layout Plain Layout
32778 まくろ@マクロ ! つーるばー@ツールバー
32786 \begin_layout Standard
32787 \begin_inset VSpace defskip
32793 \begin_layout Standard
32794 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.
32797 \begin_layout Standard
32798 \begin_inset VSpace defskip
32804 \begin_layout Standard
32805 \begin_inset Tabular
32806 <lyxtabular version="3" rows="9" columns="2">
32807 <features islongtable="true" longtabularalignment="center">
32808 <column alignment="left" valignment="top">
32809 <column alignment="left" valignment="top" width="85col%">
32810 <row interlinespace="2.5mm">
32811 <cell alignment="center" valignment="top" usebox="none">
32814 \begin_layout Plain Layout
32817 arg "math-macro-remove-param"
32825 <cell alignment="center" valignment="top" usebox="none">
32828 \begin_layout Plain Layout
32831 編集\SpecialChar menuseparator
32832 数式\SpecialChar menuseparator
32833 マクロ定義\SpecialChar menuseparator
32840 <row interlinespace="2.5mm">
32841 <cell alignment="center" valignment="top" usebox="none">
32844 \begin_layout Plain Layout
32847 arg "math-macro-add-param"
32855 <cell alignment="center" valignment="top" usebox="none">
32858 \begin_layout Plain Layout
32861 編集\SpecialChar menuseparator
32862 数式\SpecialChar menuseparator
32863 マクロ定義\SpecialChar menuseparator
32870 <row interlinespace="2.5mm">
32871 <cell alignment="center" valignment="top" usebox="none">
32874 \begin_layout Plain Layout
32877 arg "math-macro-make-optional"
32885 <cell alignment="center" valignment="top" usebox="none">
32888 \begin_layout Plain Layout
32891 編集\SpecialChar menuseparator
32892 数式\SpecialChar menuseparator
32893 マクロ定義\SpecialChar menuseparator
32895 \begin_inset Newline newline
32899 \begin_inset Phantom HPhantom
32902 \begin_layout Plain Layout
32905 編集\SpecialChar menuseparator
32906 数式\SpecialChar menuseparator
32907 マクロ定義\SpecialChar menuseparator
32919 <row interlinespace="2.5mm">
32920 <cell alignment="center" valignment="top" usebox="none">
32923 \begin_layout Plain Layout
32926 arg "math-macro-make-nonoptional"
32934 <cell alignment="center" valignment="top" usebox="none">
32937 \begin_layout Plain Layout
32940 編集\SpecialChar menuseparator
32941 数式\SpecialChar menuseparator
32942 マクロ定義\SpecialChar menuseparator
32944 \begin_inset Newline newline
32948 \begin_inset Phantom HPhantom
32951 \begin_layout Plain Layout
32954 編集\SpecialChar menuseparator
32955 数式\SpecialChar menuseparator
32956 マクロ定義\SpecialChar menuseparator
32968 <row interlinespace="2.5mm">
32969 <cell alignment="center" valignment="top" usebox="none">
32972 \begin_layout Plain Layout
32975 arg "math-macro-remove-optional-param"
32983 <cell alignment="center" valignment="top" usebox="none">
32986 \begin_layout Plain Layout
32989 編集\SpecialChar menuseparator
32990 数式\SpecialChar menuseparator
32991 マクロ定義\SpecialChar menuseparator
32998 <row interlinespace="2.5mm">
32999 <cell alignment="center" valignment="top" usebox="none">
33002 \begin_layout Plain Layout
33005 arg "math-macro-add-optional-param"
33013 <cell alignment="center" valignment="top" usebox="none">
33016 \begin_layout Plain Layout
33019 編集\SpecialChar menuseparator
33020 数式\SpecialChar menuseparator
33021 マクロ定義\SpecialChar menuseparator
33028 <row interlinespace="2.5mm">
33029 <cell alignment="center" valignment="top" usebox="none">
33032 \begin_layout Plain Layout
33035 arg "math-macro-remove-greedy-param"
33043 <cell alignment="center" valignment="top" usebox="none">
33046 \begin_layout Plain Layout
33049 編集\SpecialChar menuseparator
33050 数式\SpecialChar menuseparator
33051 マクロ定義\SpecialChar menuseparator
33053 \begin_inset Newline newline
33057 \begin_inset Phantom HPhantom
33060 \begin_layout Plain Layout
33063 編集\SpecialChar menuseparator
33064 数式\SpecialChar menuseparator
33065 マクロ定義\SpecialChar menuseparator
33077 <row interlinespace="2.5mm">
33078 <cell alignment="center" valignment="top" usebox="none">
33081 \begin_layout Plain Layout
33084 arg "math-macro-append-greedy-param"
33092 <cell alignment="center" valignment="top" usebox="none">
33095 \begin_layout Plain Layout
33098 編集\SpecialChar menuseparator
33099 数式\SpecialChar menuseparator
33100 マクロ定義\SpecialChar menuseparator
33102 \begin_inset Newline newline
33106 \begin_inset Phantom HPhantom
33109 \begin_layout Plain Layout
33112 編集\SpecialChar menuseparator
33113 数式\SpecialChar menuseparator
33114 マクロ定義\SpecialChar menuseparator
33126 <row interlinespace="2.5mm">
33127 <cell alignment="center" valignment="top" usebox="none">
33130 \begin_layout Plain Layout
33133 arg "math-macro-add-greedy-optional-param"
33141 <cell alignment="center" valignment="top" usebox="none">
33144 \begin_layout Plain Layout
33147 編集\SpecialChar menuseparator
33148 数式\SpecialChar menuseparator
33149 マクロ定義\SpecialChar menuseparator
33151 \begin_inset Newline newline
33155 \begin_inset Phantom HPhantom
33158 \begin_layout Plain Layout
33161 編集\SpecialChar menuseparator
33162 数式\SpecialChar menuseparator
33163 マクロ定義\SpecialChar menuseparator
33182 \begin_layout Section
33186 \begin_layout Standard
33188 では,\SpecialChar LyX
33189 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,
33205 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.
33208 \begin_layout Subsection
33212 \begin_layout Standard
33215 編集\SpecialChar menuseparator
33216 数式\SpecialChar menuseparator
33219 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.
33222 \begin_layout Standard
33223 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
33230 \begin_layout Itemize
33231 \begin_inset Formula $\frac{37}{3}*2-\sum_{i=1}^{3}i^{i}=-\frac{22}{3}$
33237 \begin_layout Itemize
33238 \begin_inset Formula $\frac{37.0}{3}=12.33333333333333$
33244 \begin_layout Itemize
33245 \begin_inset Formula $\int_{1}^{2}\sin(x)dx=\cos1-\cos2$
33251 \begin_layout Itemize
33252 \begin_inset Formula $\int\left(\frac{1}{1+x^{3}}\right)dx=-\frac{\log\left(x^{2}-x+1\right)}{6}+\frac{\arctan\left(\frac{2\,x-1}{\sqrt{3}}\right)}{\sqrt{3}}+\frac{\log\left(x+1\right)}{3}$
33256 \begin_inset Newline newline
33260 \begin_inset Note Greyedout
33263 \begin_layout Plain Layout
33268 単純な「(」「)」文字ではなく,適切な区切り差込枠
33269 \begin_inset Formula $\left(\right)$
33280 \begin_layout Itemize
33281 \begin_inset Formula $\det\left[\begin{array}{ccc}
33285 \end{array}\right]=-56$
33291 \begin_layout Itemize
33292 \begin_inset Formula $\lim_{x\rightarrow0}\left(\frac{\sin(x)}{x}\right)=1$
33298 \begin_layout Itemize
33299 \begin_inset Formula $powerseries\left(-\log\left(5-x\right),x,1\right)=\sum_{{\mathit{i}_{2}}=0}^{\infty}{\frac{4^{-{\mathit{i}_{2}}-1}\,\left(x-1\right)^{{\mathit{i}_{2}}+1}}{{\mathit{i}_{2}}+1}}-\log4$
33305 \begin_layout Itemize
33306 \begin_inset Formula $solve\left(x_{1}+y_{1}^{3}=y_{1}+x_{1}^{2},x_{1}\right)=\left[x_{1}=-\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}-1}{2},x_{1}=\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}+1}{2}\right]$
33312 \begin_layout Subsection
33316 \begin_layout Standard
33317 現在のところ,代数プログラムを呼び出すための
33318 \begin_inset Flex Ruby
33321 \begin_layout Plain Layout
33323 \begin_inset Argument post:1
33326 \begin_layout Plain Layout
33342 関数にバインドすることは容易です(取扱説明書『
33354 \begin_inset Flex Ruby
33357 \begin_layout Plain Layout
33359 \begin_inset Argument post:1
33362 \begin_layout Plain Layout
33373 をバインドさせることもできます.それを
33377 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.
33380 \begin_layout Standard
33383 command-alternatives paragraph-break;math-extern maxima
33386 \begin_layout Section
33388 \begin_inset Index idx
33391 \begin_layout Plain Layout
33400 \begin_layout Subsection
33402 \begin_inset Index idx
33405 \begin_layout Plain Layout
33414 \begin_layout Standard
33415 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
33419 \begin_layout Standard
33420 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.
33423 \begin_layout Standard
33427 \begin_layout Standard
33429 \begin_inset Tabular
33430 <lyxtabular version="3" rows="3" columns="2">
33431 <features booktabs="true" tabularvalignment="middle">
33432 <column alignment="right" valignment="top" width="0pt">
33433 <column alignment="left" valignment="top">
33435 <cell alignment="right" valignment="top" topline="true" leftline="true" usebox="none">
33438 \begin_layout Plain Layout
33444 <cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
33447 \begin_layout Plain Layout
33455 <cell alignment="right" valignment="top" leftline="true" usebox="none">
33458 \begin_layout Plain Layout
33464 <cell alignment="center" valignment="top" rightline="true" usebox="none">
33467 \begin_layout Plain Layout
33468 \begin_inset Formula $x=-2$
33478 <cell alignment="right" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
33481 \begin_layout Plain Layout
33487 <cell alignment="center" valignment="top" topline="true" bottomline="true" rightline="true" usebox="none">
33490 \begin_layout Plain Layout
33491 \begin_inset Formula $x=\textrm{-}2$
33507 \begin_layout Subsection
33509 \begin_inset Index idx
33512 \begin_layout Plain Layout
33519 \begin_inset Index idx
33522 \begin_layout Plain Layout
33527 \begin_layout Plain Layout
33538 \begin_layout Plain Layout
33553 \begin_layout Standard
33555 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.
33558 \begin_layout Standard
33559 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(
33560 \begin_inset Flex Ruby
33563 \begin_layout Plain Layout
33565 \begin_inset Argument post:1
33568 \begin_layout Plain Layout
33588 \begin_layout Standard
33589 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
33593 \begin_layout Standard
33601 \begin_layout Standard
33610 \begin_layout Plain Layout
33615 は,\SpecialChar LaTeX
33621 \begin_inset Index idx
33624 \begin_layout Plain Layout
33629 \begin_layout Plain Layout
33649 \begin_inset Index idx
33652 \begin_layout Plain Layout
33653 ぱっけーじ@パッケージ ! icomma
33661 \begin_layout Subsection
33663 \begin_inset CommandInset label
33665 name "subsec:物理ベクトル"
33670 \begin_inset Index idx
33673 \begin_layout Plain Layout
33675 \begin_inset space \thinspace{}
33686 \begin_layout Standard
33696 \begin_layout Plain Layout
33701 は標準的\SpecialChar LaTeX
33708 \begin_inset Index idx
33711 \begin_layout Plain Layout
33712 ぱっけーじ@パッケージ ! braket
33717 には,定義済みのベクトルが提供されており,
33720 \begin_layout Standard
33728 \begin_layout Standard
33729 という\SpecialChar LaTeX
33730 プリアンブル行で読み込むことができます.
33733 \begin_layout Standard
33737 \begin_layout Plain Layout
33747 \begin_inset Note Note
33750 \begin_layout Plain Layout
33756 パッケージが導入済みのときのみ表示されます.
33764 \begin_layout Standard
33766 \begin_inset Tabular
33767 <lyxtabular version="3" rows="4" columns="2">
33768 <features booktabs="true" tabularvalignment="middle">
33769 <column alignment="center" valignment="top" width="0pt">
33770 <column alignment="center" valignment="top">
33772 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
33775 \begin_layout Plain Layout
33781 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
33784 \begin_layout Plain Layout
33792 <cell alignment="center" valignment="top" usebox="none">
33795 \begin_layout Plain Layout
33805 <cell alignment="center" valignment="top" usebox="none">
33808 \begin_layout Plain Layout
33809 \begin_inset Formula $\Bra{\psi}$
33819 <cell alignment="center" valignment="top" usebox="none">
33822 \begin_layout Plain Layout
33832 <cell alignment="center" valignment="top" usebox="none">
33835 \begin_layout Plain Layout
33836 \begin_inset Formula $\Ket{\psi}$
33846 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
33849 \begin_layout Plain Layout
33861 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
33864 \begin_layout Plain Layout
33865 \begin_inset Formula $\Braket{\psi|\phi}$
33881 \begin_layout Standard
33888 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.
33889 \begin_inset Formula
33891 \Braket{\phi|J=\frac{3}{2}\,,\,M_{J}}
33900 \begin_layout Plain Layout
33910 \begin_inset Note Note
33913 \begin_layout Plain Layout
33919 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.
33927 \begin_layout Standard
33936 \begin_layout Standard
33940 \begin_layout Plain Layout
33952 \begin_layout Standard
33960 \begin_inset CommandInset ref
33962 reference "subsec:自動の括弧丈"
33972 コマンドを用いることによっても実現できます.
33975 \begin_layout Subsection
33977 \begin_inset CommandInset label
33979 name "subsec:自己定義の分数"
33984 \begin_inset Index idx
33987 \begin_layout Plain Layout
33988 ぶんすう@分数 ! じこていぎの@自己定義の
33996 \begin_layout Standard
33997 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
34004 \begin_inset Index idx
34007 \begin_layout Plain Layout
34018 \begin_layout Standard
34023 genfrac{左括弧}{右括弧}{分数線の厚み}{様式}
34024 \begin_inset Newline newline
34028 \begin_inset Phantom HPhantom
34031 \begin_layout Plain Layout
34044 \begin_layout Standard
34046 \begin_inset space \thinspace{}
34050 \begin_inset space \thinspace{}
34056 \begin_layout Standard
34058 \begin_inset Tabular
34059 <lyxtabular version="3" rows="5" columns="2">
34060 <features booktabs="true" tabularvalignment="middle">
34061 <column alignment="center" valignment="top" width="0pt">
34062 <column alignment="center" valignment="top">
34064 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34067 \begin_layout Plain Layout
34073 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34076 \begin_layout Plain Layout
34084 <cell alignment="center" valignment="top" usebox="none">
34087 \begin_layout Plain Layout
34093 <cell alignment="center" valignment="top" usebox="none">
34096 \begin_layout Plain Layout
34104 <cell alignment="center" valignment="top" usebox="none">
34107 \begin_layout Plain Layout
34113 <cell alignment="center" valignment="top" usebox="none">
34116 \begin_layout Plain Layout
34124 <cell alignment="center" valignment="top" usebox="none">
34127 \begin_layout Plain Layout
34133 <cell alignment="center" valignment="top" usebox="none">
34136 \begin_layout Plain Layout
34144 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
34147 \begin_layout Plain Layout
34153 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
34156 \begin_layout Plain Layout
34170 \begin_layout Standard
34177 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.
34180 \begin_layout Standard
34181 「分数線の厚み」を指定しないときには,既定値である0.4
34182 \begin_inset space \thinspace{}
34188 \begin_layout Standard
34189 \begin_inset VSpace medskip
34193 \begin_inset CommandInset ref
34195 reference "subsec:分数"
34214 \begin_layout Standard
34223 genfrac{}{}{}{0}{#1}{#2}}
34226 \begin_layout Standard
34230 \begin_layout Standard
34239 genfrac{(}{)}{0pt}{1}{#1}{#2}}
34242 \begin_layout Standard
34246 \begin_layout Standard
34247 \begin_inset VSpace medskip
34250 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
34254 \begin_layout Standard
34263 genfrac{}{}{#1}{}{#2}{#3}}
34266 \begin_layout Standard
34270 \begin_layout Standard
34272 \begin_inset Formula
34274 \text{コマンド} & & \mathrm{\backslash fracS[1mm]\backslash\{A\to\backslash\{B} & & \mathrm{\backslash fracS[5mm]\backslash\{A\to\backslash\{B}\\
34275 \text{出力} & & \fracS[1mm]{A}{B} & & \fracS[5mm]{A}{B}
34280 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.
34283 \begin_layout Subsection
34285 \begin_inset Index idx
34288 \begin_layout Plain Layout
34297 \begin_layout Standard
34298 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.
34301 \begin_layout Standard
34306 \begin_layout Plain Layout
34316 \begin_inset Note Note
34319 \begin_layout Plain Layout
34320 下記の表は,\SpecialChar LaTeX
34333 \begin_layout Standard
34335 \begin_inset Tabular
34336 <lyxtabular version="3" rows="5" columns="2">
34337 <features booktabs="true" tabularvalignment="middle">
34338 <column alignment="center" valignment="top" width="0pt">
34339 <column alignment="center" valignment="top">
34341 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34344 \begin_layout Plain Layout
34350 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34353 \begin_layout Plain Layout
34361 <cell alignment="center" valignment="top" usebox="none">
34364 \begin_layout Plain Layout
34368 \begin_inset space \textvisiblespace{}
34374 \begin_inset space \textvisiblespace{}
34382 <cell alignment="center" valignment="top" usebox="none">
34385 \begin_layout Plain Layout
34386 \begin_inset Formula $\cancel{\int A=B}$
34395 <row topspace="1.5mm">
34396 <cell alignment="center" valignment="top" usebox="none">
34399 \begin_layout Plain Layout
34403 \begin_inset space \textvisiblespace{}
34409 \begin_inset space \textvisiblespace{}
34417 <cell alignment="center" valignment="top" usebox="none">
34420 \begin_layout Plain Layout
34421 \begin_inset Formula $\bcancel{\int A=B}$
34430 <row topspace="1.5mm">
34431 <cell alignment="center" valignment="top" usebox="none">
34434 \begin_layout Plain Layout
34438 \begin_inset space \textvisiblespace{}
34444 \begin_inset space \textvisiblespace{}
34452 <cell alignment="center" valignment="top" usebox="none">
34455 \begin_layout Plain Layout
34456 \begin_inset Formula $\xcancel{\int A=B}$
34466 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34469 \begin_layout Plain Layout
34473 \begin_inset space \textvisiblespace{}
34479 \begin_inset space \textvisiblespace{}
34483 \begin_inset Formula $\to$
34491 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34494 \begin_layout Plain Layout
34495 \begin_inset Formula $\cancelto{1}{\int A=B}\hspace{3mm}$
34511 \begin_layout Standard
34518 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.
34519 \begin_inset Formula
34521 \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}}}
34529 \begin_layout Standard
34536 の「下付き文字」寸法の大きさを変えるには,
34539 \begin_layout Standard
34544 PassOptionsToPackage{オプション}{cancel}
34547 \begin_layout Standard
34548 という行を\SpecialChar LaTeX
34549 プリアンブルに書き加えてください.ここで,
34557 にすると,取り消した部分と同じ寸法になり,
34561 にすると,通常よりも少し小さくなります.
34564 \begin_layout Standard
34565 取り消し線に色を付けるには,\SpecialChar TeX
34566 コードで以下のコマンドを書き加えてください.
34569 \begin_layout Standard
34581 \begin_layout Standard
34586 は,お好みの色に変更することができます.
34589 \begin_layout Standard
34593 \begin_layout Plain Layout
34609 \begin_layout Standard
34610 \begin_inset Formula
34612 \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}}}
34620 \begin_layout Standard
34624 \begin_layout Plain Layout
34638 \begin_inset Note Note
34641 \begin_layout Plain Layout
34650 \begin_layout Standard
34656 \begin_inset CommandInset citation
34664 \begin_inset Index idx
34667 \begin_layout Plain Layout
34668 ぱっけーじ@パッケージ ! cancel
34676 \begin_layout Standard
34680 \begin_layout Plain Layout
34690 \begin_inset Note Note
34693 \begin_layout Plain Layout
34694 下記の表は,\SpecialChar LaTeX
34707 \begin_layout Standard
34708 本小節の続きを見るには,\SpecialChar LaTeX
34716 \begin_layout Standard
34720 \begin_layout Plain Layout
34732 \begin_layout Subsection
34734 \begin_inset CommandInset label
34736 name "subsec:節見出し中の数式"
34741 \begin_inset Index idx
34744 \begin_layout Plain Layout
34745 すうしき@数式 ! せつみだしちゅうの@節見出し中の
34753 \begin_layout Standard
34754 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.
34757 \begin_layout Standard
34758 \begin_inset Note Greyedout
34761 \begin_layout Plain Layout
34771 \begin_inset Index idx
34774 \begin_layout Plain Layout
34775 ぱっけーじ@パッケージ ! hyperref
34780 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
34781 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.
34789 \begin_layout Standard
34792 挿入\SpecialChar menuseparator
34795 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
34796 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.
34799 \begin_layout Standard
34800 数式を目次中でも使わなくてもならないが,
34807 \begin_layout Standard
34812 texorpdfstring{部分}{代替文字列}
34813 \begin_inset Index idx
34816 \begin_layout Plain Layout
34827 \begin_layout Standard
34828 というコマンドを\SpecialChar TeX
34832 \begin_layout Standard
34833 「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
34837 \begin_layout Standard
34839 \begin_inset VSpace -3mm
34846 \begin_layout Plain Layout
34858 \begin_layout Subsubsection
34860 \begin_inset Formula $\sqrt{-1}=\mathrm{i}$
34864 \begin_inset Argument 1
34867 \begin_layout Plain Layout
34876 \begin_layout Subsubsection
34881 \begin_layout Plain Layout
34891 \begin_inset Formula $\sqrt{-1}=\mathrm{i}$
34898 \begin_layout Plain Layout
34908 \begin_layout Standard
34912 \begin_layout Plain Layout
34921 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
34930 \begin_layout Standard
34931 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
34939 \begin_layout Plain Layout
34941 \begin_inset CommandInset ref
34943 reference "subsec:ボールド体の数式"
34955 \begin_layout Subsection
34957 \begin_inset Index idx
34960 \begin_layout Plain Layout
34961 すうしき@数式 ! ただんくみぶんちゅうの@多段組文中の
34969 \begin_layout Standard
34970 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,
34978 \begin_layout Plain Layout
34983 は,標準的\SpecialChar LaTeX
34990 \begin_inset Index idx
34993 \begin_layout Plain Layout
34994 ぱっけーじ@パッケージ ! multicol
35003 \begin_layout Standard
35008 usepackage{multicol}
35011 \begin_layout Standard
35012 という\SpecialChar LaTeX
35013 プリアンブル行を書いて読み込むことで,実現できます.
35016 \begin_layout Standard
35017 \begin_inset Note Greyedout
35020 \begin_layout Plain Layout
35023 文書\SpecialChar menuseparator
35046 \begin_layout Standard
35050 \begin_layout Standard
35055 begin{multicols}{段数}
35058 \begin_layout Standard
35059 というコマンドを\SpecialChar TeX
35061 \begin_inset space \thinspace{}
35065 \begin_inset space \thinspace{}
35068 10のあいだの数字です.多段組文の終わる数式の前には,
35071 \begin_layout Standard
35079 \begin_layout Standard
35080 というコマンドを\SpecialChar TeX
35084 \begin_layout Standard
35085 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
35086 \begin_inset space \thinspace{}
35089 mmの垂直空白を入れて下さい.数式様式
35095 \begin_layout Plain Layout
35097 \begin_inset CommandInset ref
35099 reference "sec:数式様式"
35115 \begin_inset space \thinspace{}
35121 \begin_layout Standard
35122 以下は,別行立て数式を含む,多段組文の例です.
35125 \begin_layout Standard
35129 \begin_layout Plain Layout
35133 begin{multicols}{2}
35140 Das Spektrum wird fouriertransformiert.
35141 Die Fouriertransformation wird verwendet, um die überlagerten Signale (Netzwerk
35142 , Lösungsmittel) zu trennen.
35143 Nachdem wir die Phasenverschiebung bestimmen konnten, interessiert uns
35144 nun das Aussehen des Ausgangssignals.
35145 Im Experiment haben wir es mit sehr vielen Teilchen zu tun, so das man
35146 über alle Phasen integrieren muss.
35148 \begin_inset Formula $S$
35151 unser normiertes Ausgangssignal und
35152 \begin_inset Formula $P$
35155 die Phasenverteilungsfunktion, so ergibt sich die Beziehung
35161 \begin_layout Plain Layout
35171 \begin_inset VSpace -6mm
35175 \begin_inset Formula
35177 S(t)=S_{0}(t)\int_{-\infty}^{\infty}P(\phi,t)\mathrm{e}^{\mathrm{i}\phi}\,\mathrm{d}\phi
35186 \begin_layout Plain Layout
35190 begin{multicols}{2}
35198 \begin_inset Formula $S_{0}$
35201 das Signal ohne Gradient ist und die Normierungsbedingung
35202 \begin_inset Formula $\int_{-\infty}^{\infty}P(\phi,t)\,\mathrm{d}\phi=1$
35206 Nun dürfen wir aber nicht den Relaxationsprozess außer Acht lassen.
35208 \begin_inset Formula $\nicefrac{\pi}{2}$
35212 \begin_inset space \thinspace{}
35215 -rf-Puls beginnt sich die Magnetisierung zu entfokussieren, wodurch sich
35216 das Signal zusätzlich abschwächt.
35217 Diese Abschwächung verläuft exponentiell in Abhängigkeit der so genannten
35219 \begin_inset Formula $T_{2}$
35225 \begin_layout Standard
35229 \begin_layout Plain Layout
35241 \begin_layout Subsection
35243 \begin_inset Index idx
35246 \begin_layout Plain Layout
35247 すうしき@数式 ! へんすうのせつめいつき@変数の説明付き
35255 \begin_layout Standard
35256 \begin_inset CommandInset ref
35258 reference "eq:within"
35262 式のように,数式内で変数の説明をするには,
35263 \begin_inset Formula $n$
35266 個の変数が使われている場合,左寄せの列を持つ
35267 \begin_inset Formula $2\times n$
35274 \begin_layout Plain Layout
35276 \begin_inset CommandInset ref
35287 .説明を小さな文字にするには,行列の前に,たとえば
35297 \begin_layout Plain Layout
35299 \begin_inset CommandInset ref
35301 reference "subsec:書体寸法"
35313 \begin_layout Standard
35320 \begin_layout Plain Layout
35322 \begin_inset CommandInset ref
35324 reference "sec:数式様式"
35335 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
35345 \begin_layout Plain Layout
35357 \begin_inset CommandInset ref
35359 reference "subsec:可変長の空白"
35371 \begin_layout Standard
35376 を使っている場合,数式を字下げするには,第
35377 \begin_inset CommandInset ref
35379 reference "subsec:flalign環境"
35384 \begin_inset CommandInset ref
35386 reference "eq:within"
35390 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
35392 \begin_inset Formula
35394 \hspace{30pt}F_{A} & =\rho·V·g & \footnotesize\begin{array}{ll}
35395 \rho & \textrm{density}\\
35396 V & \textrm{volume}\\
35397 g & \textrm{gravitational acceleration}
35398 \end{array} & & {}\label{eq:within}
35406 \begin_layout Subsection
35408 \begin_inset CommandInset label
35410 name "subsec:アップライト体ギリシャ小文字"
35415 \begin_inset Index idx
35418 \begin_layout Plain Layout
35419 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
35427 \begin_layout Standard
35428 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,
35429 \begin_inset Formula $\pi$
35432 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.
35440 \begin_layout Plain Layout
35450 \begin_inset Index idx
35453 \begin_layout Plain Layout
35458 \begin_layout Plain Layout
35479 \begin_inset Index idx
35482 \begin_layout Plain Layout
35483 ぱっけーじ@パッケージ ! upgreek
35491 \begin_layout Standard
35496 usepackage{upgreek}
35499 \begin_layout Standard
35500 という\SpecialChar LaTeX
35501 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.
35505 \begin_layout Plain Layout
35515 \begin_inset Note Note
35518 \begin_layout Plain Layout
35524 パッケージが導入済みのときのみ表示されます.
35529 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
35533 を付けると作ることができます.たとえば
35540 \begin_inset Formula $\uptau$
35546 \begin_layout Standard
35547 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.
35548 \begin_inset Formula
35550 \uppi^{+}\to\upmu^{+}+\upnu_{\upmu}
35558 \begin_layout Standard
35559 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「
35560 \begin_inset Formula $\mu m$
35563 」のような単位に使うべきではありません.
35566 \begin_layout Standard
35570 \begin_layout Plain Layout
35580 \begin_inset Note Note
35583 \begin_layout Plain Layout
35589 パッケージが導入されていないときのみ表示されます.
35597 \begin_layout Standard
35606 \begin_layout Standard
35610 \begin_layout Plain Layout
35622 \begin_layout Subsection
35624 \begin_inset Index idx
35627 \begin_layout Plain Layout
35628 てきすと @ テキスト ! すうしきちゅうの @ 数式中の
35636 \begin_layout Standard
35637 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
35638 \begin_inset Formula $\nu=5·10^{5}\,\mathrm{Hz}$
35641 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
35651 \begin_layout Plain Layout
35653 \begin_inset CommandInset ref
35655 reference "subsec:二項演算子"
35664 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,
35667 \begin_layout Standard
35672 Declare Inputtext{183}{
35682 f\SpecialChar ligaturebreak
35686 \begin_layout Standard
35687 という\SpecialChar LaTeX
35688 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.
35691 \begin_layout Standard
35694 文書\SpecialChar menuseparator
35695 設定\SpecialChar menuseparator
35699 \begin_inset Flex Ruby
35702 \begin_layout Plain Layout
35704 \begin_inset Argument post:1
35707 \begin_layout Plain Layout
35718 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
35724 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
35725 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
35726 て,正しいコマンドが自動的に選択されます.
35729 \begin_layout Standard
35730 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,
35734 エンコーディングは,\SpecialChar LaTeX
35739 ファイルに定義されています.エンコーディングは,\SpecialChar LaTeX
35740 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
35741 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.
35744 \begin_layout Standard
35745 \begin_inset VSpace medskip
35749 \begin_inset Formula $^{\circ}$
35752 」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
35757 \begin_layout Plain Layout
35758 【訳註】p\SpecialChar LaTeX
35759 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.
35767 \begin_layout Standard
35772 DeclareInputtext{176}{
35782 f\SpecialChar ligaturebreak
35786 \begin_layout Subsection
35787 数式中の\SpecialChar LaTeX
35789 \begin_inset Index idx
35792 \begin_layout Plain Layout
35793 L atexこめんと@\SpecialChar LaTeX
35802 \begin_layout Standard
35803 本文中では,ファイルの\SpecialChar LaTeX
35804 ソースコードでのみ見ることのできるコメントを,
35808 \SpecialChar menuseparator
35813 \SpecialChar menuseparator
35818 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,
35821 \begin_layout Standard
35829 \begin_layout Standard
35830 というコマンドを使えば,\SpecialChar LaTeX
35831 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
35836 \begin_layout Plain Layout
35837 \begin_inset CommandInset href
35839 name "LyX-bug #9002"
35840 target "http://www.lyx.org/trac/ticket/9002"
35850 ,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
35851 出力中に,\SpecialChar LaTeX
35855 \begin_inset Newline newline
35860 下記は,\SpecialChar LaTeX
35862 \begin_inset Formula
35864 A=B%\text{これはコメントです。}
35872 \begin_layout Section
35875 \begin_inset Index idx
35878 \begin_layout Plain Layout
35879 くみばんじょうのじょげん@組版上の助言
35887 \begin_layout Standard
35888 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
35892 \begin_layout Plain Layout
35893 この要約の一部は,ISO規則を取り上げている「Duden」
35894 \begin_inset CommandInset citation
35901 と呼ばれるドイツの半公的辞書から採られています.
35909 \begin_layout Itemize
35910 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
35914 \begin_layout Plain Layout
35916 \begin_inset CommandInset ref
35918 reference "subsec:書体様式"
35928 \begin_inset space \thinspace{}
35932 \begin_inset Newline newline
35935 値と単位の間には,最小空白を入れます.第
35936 \begin_inset CommandInset ref
35938 reference "subsec:定義済みの空白"
35943 \begin_inset Newline newline
35952 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
35954 \begin_inset Formula $\unit[30]{km/h}$
35958 \begin_inset space \thinspace{}
35967 は,\SpecialChar LaTeX
35974 というコマンドです.したがって,これを\SpecialChar TeX
35978 \begin_layout Itemize
35979 百分率記号と千分率記号は,物理単位と同様に組みます:
35980 \begin_inset Newline newline
35984 \begin_inset space \thinspace{}
35990 \begin_layout Itemize
35992 \begin_inset Formula $15^{\circ}$
35995 .しかし,単位として用いられるときは別です:15
35996 \begin_inset space \thinspace{}
36000 \begin_inset Formula $^{\circ}\negmedspace\mbox{C}$
36006 \begin_layout Itemize
36007 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
36008 \begin_inset space \thinspace{}
36012 \begin_inset space \thinspace{}
36018 \begin_layout Itemize
36019 \begin_inset Formula $120\times90\times40$
36023 \begin_inset space \thinspace{}
36027 \begin_inset Formula $\times$
36038 挿入\SpecialChar menuseparator
36039 特殊文字\SpecialChar menuseparator
36045 \begin_layout Itemize
36046 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
36047 \begin_inset CommandInset ref
36049 reference "subsec:定義済み函数"
36056 \begin_layout Itemize
36057 複数の文字を含む指数は,アップライト体にします:
36058 \begin_inset Formula $E_{\mathrm{kin}}$
36062 \begin_inset Newline newline
36066 \begin_inset Formula $\hat{H}_{kl}$
36072 \begin_layout Itemize
36073 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.
36076 \begin_layout Itemize
36086 \begin_inset space \textvisiblespace{}
36092 \begin_inset Index idx
36095 \begin_layout Plain Layout
36105 挿入\SpecialChar menuseparator
36106 特殊文字\SpecialChar menuseparator
36107 記号\SpecialChar menuseparator
36111 \begin_inset Formula $\mathscr{F}$
36117 \begin_layout Standard
36118 \begin_inset Newpage newpage
36124 \begin_layout Section
36126 \begin_inset Index idx
36129 \begin_layout Plain Layout
36138 \begin_layout Standard
36139 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.
36142 \begin_layout Standard
36143 \begin_inset VSpace bigskip
36147 \begin_inset space \hfill{}
36151 \begin_inset Tabular
36152 <lyxtabular version="3" rows="12" columns="2">
36153 <features booktabs="true" tabularvalignment="middle">
36154 <column alignment="center" valignment="top" width="0pt">
36155 <column alignment="center" valignment="top" width="0pt">
36157 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
36160 \begin_layout Plain Layout
36166 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
36169 \begin_layout Plain Layout
36177 <cell alignment="center" valignment="top" usebox="none">
36180 \begin_layout Plain Layout
36188 <cell alignment="center" valignment="top" usebox="none">
36191 \begin_layout Plain Layout
36199 <cell alignment="center" valignment="top" usebox="none">
36202 \begin_layout Plain Layout
36210 <cell alignment="center" valignment="top" usebox="none">
36213 \begin_layout Plain Layout
36223 <cell alignment="center" valignment="top" usebox="none">
36226 \begin_layout Plain Layout
36234 <cell alignment="center" valignment="top" usebox="none">
36237 \begin_layout Plain Layout
36247 <cell alignment="center" valignment="top" usebox="none">
36250 \begin_layout Plain Layout
36258 <cell alignment="center" valignment="top" usebox="none">
36261 \begin_layout Plain Layout
36269 <cell alignment="center" valignment="top" usebox="none">
36272 \begin_layout Plain Layout
36280 <cell alignment="center" valignment="top" usebox="none">
36283 \begin_layout Plain Layout
36291 <cell alignment="center" valignment="top" usebox="none">
36294 \begin_layout Plain Layout
36302 <cell alignment="center" valignment="top" usebox="none">
36305 \begin_layout Plain Layout
36315 <cell alignment="center" valignment="top" usebox="none">
36318 \begin_layout Plain Layout
36326 <cell alignment="center" valignment="top" usebox="none">
36329 \begin_layout Plain Layout
36339 <cell alignment="center" valignment="top" usebox="none">
36342 \begin_layout Plain Layout
36350 <cell alignment="center" valignment="top" usebox="none">
36353 \begin_layout Plain Layout
36363 <cell alignment="center" valignment="top" usebox="none">
36366 \begin_layout Plain Layout
36374 <cell alignment="center" valignment="top" usebox="none">
36377 \begin_layout Plain Layout
36387 <cell alignment="center" valignment="top" usebox="none">
36390 \begin_layout Plain Layout
36398 <cell alignment="center" valignment="top" usebox="none">
36401 \begin_layout Plain Layout
36409 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
36412 \begin_layout Plain Layout
36420 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
36423 \begin_layout Plain Layout
36435 \begin_inset space \hfill{}
36439 \begin_inset Tabular
36440 <lyxtabular version="3" rows="12" columns="2">
36441 <features booktabs="true" tabularvalignment="middle">
36442 <column alignment="center" valignment="top" width="0pt">
36443 <column alignment="center" valignment="top" width="0pt">
36445 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
36448 \begin_layout Plain Layout
36454 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
36457 \begin_layout Plain Layout
36465 <cell alignment="center" valignment="top" usebox="none">
36468 \begin_layout Plain Layout
36476 <cell alignment="center" valignment="top" usebox="none">
36479 \begin_layout Plain Layout
36491 <cell alignment="center" valignment="top" usebox="none">
36494 \begin_layout Plain Layout
36502 <cell alignment="center" valignment="top" usebox="none">
36505 \begin_layout Plain Layout
36515 <cell alignment="center" valignment="top" usebox="none">
36518 \begin_layout Plain Layout
36526 <cell alignment="center" valignment="top" usebox="none">
36529 \begin_layout Plain Layout
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