1 #LyX 2.4 created this file. For more info see https://www.lyx.org/
5 \save_transient_properties false
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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}
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40 % see first footnote in sec. 9.3
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43 % the pages of the TOC are numbered roman
44 % and a PDF-bookmark for the TOC is added
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62 % makes caption labels bold
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84 % example definitions for sec. 20.1
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96 % ------------------------------------
97 % used to check for needed LaTeX packages
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108 % check for package eurosym
109 % used for the Euro symbol
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112 {\usepackage[gennarrow]{eurosym}
113 \setboolean{eurosym}{true}}
114 {\setboolean{eurosym}{false}}
116 % needed in sec. 22.4
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129 {\setboolean{cancel}{false}}
131 % needed in sec. 22.10
132 % check for package upgreek
134 \IfFileExists{upgreek.sty}
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139 % make pdf bookmark sane with Japanese
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142 \renewcommand{\seename}{→}
144 \setlength{\parskip}{\medskipamount}
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177 \float_placement class
178 \float_alignment class
179 \paperfontsize default
182 \pdf_title "LyX's Math Manual"
183 \pdf_author "LyX Team, Uwe Stohr"
184 \pdf_subject "LyX-documentation about math"
185 \pdf_keywords "LyX, Mathed"
187 \pdf_bookmarksnumbered true
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264 \begin_layout Plain Layout
266 コメントや誤りの修正などがございましたら,\SpecialChar LyX
270 \begin_inset CommandInset href
272 name "lyx-docs@lists.lyx.org"
273 target "lyx-docs@lists.lyx.org?subject=LyX's Math manual"
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309 \begin_layout Standard
310 \begin_inset CommandInset toc
311 LatexCommand tableofcontents
318 \begin_layout Standard
319 \begin_inset Note Note
322 \begin_layout Plain Layout
323 この文書をPDFやPS,DVIに書き出すには,\SpecialChar LaTeX
352 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,
356 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.
359 \begin_layout Plain Layout
361 \begin_inset Newline newline
366 https://wiki.lyx.org/LyX/Manuals#Math
367 \begin_inset Newline newline
380 \begin_layout Standard
381 \begin_inset Newpage newpage
387 \begin_layout Section
391 \begin_layout Standard
392 この文書は,\SpecialChar LyX
393 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
394 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
399 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.
402 \begin_layout Standard
403 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,
405 挿入\SpecialChar menuseparator
412 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
413 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.
416 \begin_layout Standard
417 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(
419 文書\SpecialChar menuseparator
420 設定\SpecialChar menuseparator
431 \begin_layout Plain Layout
436 オプションは,\SpecialChar LyX
437 でサポートされている数式要素が見つかったときのみ,
441 \begin_layout Plain Layout
458 \begin_layout Standard
459 説明を明瞭にするために,この文書はすべての
463 \begin_layout Plain Layout
476 \begin_layout Plain Layout
481 \begin_layout Plain Layout
493 \begin_inset CommandInset href
496 target "https://www.ctan.org/tex-archive/macros/amstex/doc/amsguide.pdf"
503 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
512 \begin_layout Section
516 \begin_layout Standard
518 \begin_inset Index idx
523 \begin_layout Plain Layout
524 すうしき @ 数式 ! ぎょうない @ 行内
530 \begin_inset Flex Ruby
533 \begin_layout Plain Layout
535 \begin_inset Argument post:1
538 \begin_layout Plain Layout
555 のうちのいずれか,あるいはツールバーボタン
562 \begin_inset Newline newline
565 大きく別の段落として表示される別行立て数式
566 \begin_inset Index idx
571 \begin_layout Plain Layout
572 すうしき @ 数式 ! べつぎょうだてようしき @ 別行立て様式
586 \begin_layout Standard
587 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
595 編集\SpecialChar menuseparator
596 数式\SpecialChar menuseparator
599 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.
602 \begin_layout Standard
603 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,
608 \begin_inset Index idx
613 \begin_layout Plain Layout
625 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.
628 \begin_layout Standard
629 表の中では,行内数式のみの使用が許されています.
632 \begin_layout Standard
639 表示\SpecialChar menuseparator
642 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,
646 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,
650 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「
654 \begin_layout Standard
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663 T exもーど@\SpecialChar TeX
677 挿入\SpecialChar menuseparator
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692 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
695 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
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730 行列や場合分け,多行数式を続けて編集するには,
732 編集\SpecialChar menuseparator
737 編集\SpecialChar menuseparator
740 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
741 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.
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773 \begin_inset Index idx
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779 てきすと @ テキスト ! すうしきちゅうの @ 数式中の
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822 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
823 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
824 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.
827 \begin_layout Subsection*
831 \begin_layout Standard
832 数式要素に使われるほとんどの\SpecialChar LaTeX
833 コマンドは,以下のような構成になっています.
836 \begin_layout Standard
844 \begin_layout Standard
851 」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
853 \begin_inset Index idx
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859 T exかっこ@\SpecialChar TeX
865 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
866 は自動的に\SpecialChar TeX
873 コマンドを使えば,つねに\SpecialChar TeX
874 括弧を生成することができます.\SpecialChar LyX
875 中で,青字で表示される通常の括弧とは違って,\SpecialChar TeX
876 括弧は赤字で表示されます.\SpecialChar TeX
877 モード中では,\SpecialChar TeX
879 コマンドは必要としません.また,\SpecialChar TeX
883 \begin_layout Standard
884 記号のコマンドのように引数のないコマンドを\SpecialChar TeX
885 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
889 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
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942 のような矢印は,キーボードから対応する矢印
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1341 \begin_inset Newpage newpage
1347 \begin_layout Section
1351 \begin_layout Subsection
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1447 \begin_layout Standard
1448 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
1451 arg "math-subscript"
1454 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
1457 arg "math-superscript"
1463 \begin_layout Standard
1465 \begin_inset Tabular
1466 <lyxtabular version="3" rows="4" columns="2">
1467 <features booktabs="true" tabularvalignment="middle">
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1514 <cell alignment="center" valignment="top" usebox="none">
1517 \begin_layout Plain Layout
1523 <cell alignment="center" valignment="top" usebox="none">
1526 \begin_layout Plain Layout
1527 \begin_inset Formula $B^{V}$
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1537 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
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1550 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
1553 \begin_layout Plain Layout
1554 \begin_inset Formula $B^{A}$
1570 \begin_layout Standard
1571 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
1576 \begin_layout Plain Layout
1577 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.
1582 .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
1589 \begin_layout Subsection
1591 \begin_inset CommandInset label
1598 \begin_inset Index idx
1603 \begin_layout Plain Layout
1612 \begin_layout Standard
1620 \begin_inset Index idx
1625 \begin_layout Plain Layout
1636 arg "math-insert \\frac"
1639 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
1642 arg "math-insert \\frac-square"
1645 を使えば,分数の種類を選ぶことができます.
1648 \begin_layout Standard
1656 \begin_inset Index idx
1661 \begin_layout Plain Layout
1669 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
1676 \begin_inset Index idx
1681 \begin_layout Plain Layout
1689 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.
1692 \begin_layout Standard
1700 \begin_inset Formula $\frac{1}{2}$
1706 \begin_layout Standard
1714 \begin_inset Formula $\dfrac{1}{2}$
1720 \begin_layout Standard
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1748 <cell alignment="center" valignment="top" usebox="none">
1751 \begin_layout Plain Layout
1755 \begin_inset space \textvisiblespace{}
1759 \begin_inset Formula $\downarrow$
1767 <cell alignment="center" valignment="top" usebox="none">
1770 \begin_layout Plain Layout
1771 \begin_inset Formula $\frac{A}{B}$
1780 <row topspace="2mm">
1781 <cell alignment="center" valignment="top" usebox="none">
1784 \begin_layout Plain Layout
1788 \begin_inset space \textvisiblespace{}
1792 \begin_inset Formula $\downarrow$
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1804 \begin_inset Formula $\dfrac{A}{B}$
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1827 \begin_inset space \textvisiblespace{}
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1835 \begin_inset Formula $\downarrow\downarrow$
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1898 \begin_layout Standard
1899 \begin_inset Formula
1901 \textrm{\textbf{\textbackslash frac}を使用して作成} & & \textrm{\textbf{\textbackslash cfrac}を使用して作成}\\
1902 \frac{A}{B+\frac{C+\frac{E}{F}}{D}} & & \cfrac{A}{B+\cfrac{C+\cfrac{E}{F}}{D}}
1910 \begin_layout Standard
1914 \begin_layout Standard
1923 \begin_layout Plain Layout
1933 \begin_inset Formula $\downarrow$
1942 \begin_layout Plain Layout
1957 \begin_layout Plain Layout
1967 \begin_inset Formula $\downarrow$
1971 \begin_inset Formula $\downarrow$
1977 \begin_layout Standard
1981 \begin_layout Standard
1982 \begin_inset VSpace medskip
1988 \begin_layout Standard
1995 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.
1998 \begin_layout Standard
1999 分子の揃え方は,指定することができます.
2017 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.
2020 \begin_inset Formula
2022 \cfrac[l]{A}{B+C}\,,\,\cfrac{A}{B+C}\,,\,\cfrac[r]{A}{B+C}
2030 \begin_layout Standard
2031 \begin_inset Note Greyedout
2034 \begin_layout Plain Layout
2047 は,生粋の\SpecialChar LaTeX
2054 です.したがって,これらを\SpecialChar TeX
2063 \begin_layout Standard
2064 \begin_inset VSpace medskip
2080 \begin_inset Formula
2082 \cfrac{A}{B+\cfrac{C+\frac{E}{F}}{D}}
2090 \begin_layout Standard
2091 斜めの分数線を持つ行内分数を作るには,コマンド
2098 \begin_inset Index idx
2103 \begin_layout Plain Layout
2112 \begin_inset Formula $\nicefrac{5}{31}$
2122 \begin_inset Index idx
2127 \begin_layout Plain Layout
2136 \begin_inset Formula $\unitfrac{5}{31}$
2140 \begin_inset Formula $\unitfrac[2]{1}{3}$
2152 \begin_layout Standard
2153 \begin_inset Note Greyedout
2156 \begin_layout Plain Layout
2167 は生粋の\SpecialChar LaTeX
2169 \begin_inset Newline newline
2176 unitfrac[自然数]{分子}{分母}
2178 というコマンドなので,\SpecialChar TeX
2187 \begin_layout Standard
2188 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
2189 \begin_inset CommandInset ref
2191 reference "subsec:自己定義の分数"
2198 \begin_layout Standard
2200 \begin_inset CommandInset ref
2202 reference "subsec:多行にわたる分数"
2209 \begin_layout Subsection
2211 \begin_inset Index idx
2216 \begin_layout Plain Layout
2223 \begin_inset Index idx
2228 \begin_layout Plain Layout
2233 \begin_layout Plain Layout
2244 \begin_layout Plain Layout
2259 \begin_layout Standard
2267 \begin_inset Index idx
2272 \begin_layout Plain Layout
2283 arg "math-insert \\sqrt"
2286 で作成することができ,他のすべての根号は,コマンド
2293 \begin_inset Index idx
2298 \begin_layout Plain Layout
2309 arg "math-insert \\root"
2315 \begin_layout Standard
2317 \begin_inset Tabular
2318 <lyxtabular version="3" rows="3" columns="2">
2319 <features booktabs="true" tabularvalignment="middle">
2320 <column alignment="center" valignment="top" width="0pt">
2321 <column alignment="center" valignment="top" width="0pt">
2323 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2326 \begin_layout Plain Layout
2332 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2335 \begin_layout Plain Layout
2342 <row topspace="1mm">
2343 <cell alignment="center" valignment="top" usebox="none">
2346 \begin_layout Plain Layout
2350 \begin_inset space \textvisiblespace{}
2358 <cell alignment="center" valignment="top" usebox="none">
2361 \begin_layout Plain Layout
2362 \begin_inset Formula $\sqrt{A-B}$
2371 <row topspace="1mm">
2372 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2375 \begin_layout Plain Layout
2379 \begin_inset space \textvisiblespace{}
2383 \begin_inset Formula $\downarrow$
2391 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2394 \begin_layout Plain Layout
2395 \begin_inset Formula $\sqrt[3]{A-B}$
2411 \begin_layout Standard
2412 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,
2421 \begin_layout Standard
2422 \begin_inset Formula $\sqrt[\beta]{B}$
2425 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.
2426 \begin_inset Newline newline
2430 \begin_inset Formula $\beta$
2433 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
2440 \begin_inset Index idx
2445 \begin_layout Plain Layout
2460 \begin_inset Index idx
2465 \begin_layout Plain Layout
2476 \begin_layout Standard
2490 \begin_layout Standard
2491 ここで「距離」は,指数を左あるいは上に動かす,Big Point(単位bp;
2492 \begin_inset Formula $\mathrm{72\,bp=1}$
2495 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
2496 \begin_inset Newline newline
2506 \begin_inset Formula $\to$
2512 \begin_inset Formula $\to$
2518 \begin_inset space \textvisiblespace{}
2522 \begin_inset Formula $\to$
2526 \begin_inset Newline newline
2532 \begin_inset Formula $\sqrt[\leftroot{-1}\uproot{2}\beta]{B}$
2538 \begin_layout Subsection
2540 \begin_inset Index idx
2545 \begin_layout Plain Layout
2554 \begin_layout Standard
2562 \begin_inset Index idx
2567 \begin_layout Plain Layout
2578 arg "math-insert \\frac-square"
2581 の小メニューを使って挿入することができます.分数(
2598 \begin_inset Index idx
2603 \begin_layout Plain Layout
2620 \begin_inset Index idx
2625 \begin_layout Plain Layout
2633 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
2640 \begin_inset Index idx
2645 \begin_layout Plain Layout
2660 \begin_inset Index idx
2665 \begin_layout Plain Layout
2676 \begin_layout Standard
2678 \begin_inset Tabular
2679 <lyxtabular version="3" rows="6" columns="2">
2680 <features booktabs="true" tabularvalignment="middle">
2681 <column alignment="center" valignment="top" width="0pt">
2682 <column alignment="center" valignment="top" width="0pt">
2684 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2687 \begin_layout Plain Layout
2693 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2696 \begin_layout Plain Layout
2703 <row topspace="1mm">
2704 <cell alignment="center" valignment="top" usebox="none">
2707 \begin_layout Plain Layout
2711 \begin_inset space \textvisiblespace{}
2715 \begin_inset Formula $\downarrow$
2723 <cell alignment="center" valignment="top" usebox="none">
2726 \begin_layout Plain Layout
2727 \begin_inset Formula $\binom{A}{B}$
2736 <row topspace="2mm">
2737 <cell alignment="center" valignment="top" usebox="none">
2740 \begin_layout Plain Layout
2744 \begin_inset space \textvisiblespace{}
2748 \begin_inset Formula $\downarrow$
2756 <cell alignment="center" valignment="top" usebox="none">
2759 \begin_layout Plain Layout
2760 \begin_inset Formula $\dbinom{A}{B}$
2769 <row topspace="2mm" bottomspace="0.5mm">
2770 <cell alignment="center" valignment="top" usebox="none">
2773 \begin_layout Plain Layout
2777 \begin_inset space \textvisiblespace{}
2781 \begin_inset Formula $\downarrow$
2789 <cell alignment="center" valignment="top" usebox="none">
2792 \begin_layout Plain Layout
2793 \begin_inset Formula $\tbinom{A}{B}$
2802 <row topspace="1mm">
2803 <cell alignment="center" valignment="top" topline="true" usebox="none">
2806 \begin_layout Plain Layout
2810 \begin_inset space \textvisiblespace{}
2814 \begin_inset Formula $\downarrow$
2822 <cell alignment="center" valignment="top" topline="true" usebox="none">
2825 \begin_layout Plain Layout
2826 \begin_inset Formula ${A \brack B}$
2835 <row topspace="2mm" bottomspace="0.5mm">
2836 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2839 \begin_layout Plain Layout
2843 \begin_inset space \textvisiblespace{}
2847 \begin_inset Formula $\downarrow$
2855 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2858 \begin_layout Plain Layout
2859 \begin_inset Formula ${A \brace B}$
2875 \begin_layout Subsection
2877 \begin_inset Index idx
2882 \begin_layout Plain Layout
2891 \begin_layout Standard
2893 \begin_inset Tabular
2894 <lyxtabular version="3" rows="3" columns="2">
2895 <features booktabs="true" tabularvalignment="middle">
2896 <column alignment="center" valignment="top" width="0pt">
2897 <column alignment="center" valignment="top" width="0pt">
2899 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2902 \begin_layout Plain Layout
2908 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
2911 \begin_layout Plain Layout
2919 <cell alignment="center" valignment="top" usebox="none">
2922 \begin_layout Plain Layout
2926 \begin_inset space \textvisiblespace{}
2930 \begin_inset Formula $\to$
2934 \begin_inset Formula $>$
2938 \begin_inset Index idx
2943 \begin_layout Plain Layout
2956 <cell alignment="center" valignment="top" usebox="none">
2959 \begin_layout Plain Layout
2960 \begin_inset Formula $\begin{cases}
2970 <row topspace="1.5mm">
2971 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2974 \begin_layout Plain Layout
2978 \begin_inset space \textvisiblespace{}
2984 arg "newline-insert newline"
2992 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
2995 \begin_layout Plain Layout
2996 \begin_inset Formula $\begin{cases}
2997 A & \textrm{for }x>0\\
2998 B & \textrm{for }x=0
3015 \begin_layout Standard
3025 arg "math-insert \\cases"
3029 \begin_inset Flex Ruby
3032 \begin_layout Plain Layout
3034 \begin_inset Argument post:1
3037 \begin_layout Plain Layout
3051 arg "newline-insert newline"
3057 arg "tabular-feature append-row"
3060 を使えば,新しい行を作ることができます.
3063 \begin_layout Standard
3072 挿入\SpecialChar menuseparator
3073 数式\SpecialChar menuseparator
3079 \begin_layout Subsection
3081 \begin_inset Index idx
3086 \begin_layout Plain Layout
3095 \begin_layout Standard
3103 \begin_inset Index idx
3108 \begin_layout Plain Layout
3116 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.
3119 \begin_layout Standard
3121 \begin_inset Tabular
3122 <lyxtabular version="3" rows="4" columns="2">
3123 <features booktabs="true" tabularvalignment="middle">
3124 <column alignment="center" valignment="top" width="0pt">
3125 <column alignment="center" valignment="top" width="0pt">
3127 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3130 \begin_layout Plain Layout
3136 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3139 \begin_layout Plain Layout
3147 <cell alignment="center" valignment="top" usebox="none">
3150 \begin_layout Plain Layout
3158 <cell alignment="center" valignment="top" usebox="none">
3161 \begin_layout Plain Layout
3162 \begin_inset Formula $\not=$
3172 <cell alignment="center" valignment="top" usebox="none">
3175 \begin_layout Plain Layout
3185 <cell alignment="center" valignment="top" usebox="none">
3188 \begin_layout Plain Layout
3189 \begin_inset Formula $\not\le$
3199 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3202 \begin_layout Plain Layout
3212 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3215 \begin_layout Plain Layout
3216 \begin_inset Formula $\not\parallel$
3232 \begin_layout Standard
3233 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
3234 \begin_inset CommandInset ref
3236 reference "subsec:数学記号"
3241 \begin_inset CommandInset ref
3250 \begin_layout Subsection
3252 \begin_inset CommandInset label
3259 \begin_inset Index idx
3264 \begin_layout Plain Layout
3271 \begin_inset Index idx
3276 \begin_layout Plain Layout
3277 かがくきごう@化学記号 ! どういたい@同位体
3283 \begin_inset Index idx
3288 \begin_layout Plain Layout
3293 \begin_layout Plain Layout
3304 \begin_layout Plain Layout
3317 \begin_inset Index idx
3322 \begin_layout Plain Layout
3327 \begin_layout Plain Layout
3338 \begin_layout Plain Layout
3353 \begin_layout Standard
3358 \begin_layout Plain Layout
3360 \begin_inset CommandInset ref
3362 reference "subsec:化学記号と化学式"
3371 を表示しようとすると,次のような問題が起こります.
3374 \begin_layout Standard
3376 \begin_inset Tabular
3377 <lyxtabular version="3" rows="2" columns="2">
3378 <features booktabs="true" tabularvalignment="middle">
3379 <column alignment="center" valignment="top" width="0pt">
3380 <column alignment="center" valignment="top" width="0pt">
3382 <cell alignment="center" valignment="top" usebox="none">
3385 \begin_layout Plain Layout
3386 上付き文字と下付き文字を使用して作った指数:
3391 <cell alignment="center" valignment="top" usebox="none">
3394 \begin_layout Plain Layout
3395 \begin_inset Formula $_{9}^{19}\mathrm{F}$
3404 <row topspace="1.5mm">
3405 <cell alignment="center" valignment="top" usebox="none">
3408 \begin_layout Plain Layout
3414 <cell alignment="center" valignment="top" usebox="none">
3417 \begin_layout Plain Layout
3418 \begin_inset Formula $_{\phantom{1}9}^{19}\mathrm{F}$
3434 \begin_layout Standard
3435 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
3442 \begin_inset Index idx
3447 \begin_layout Plain Layout
3459 \begin_layout Plain Layout
3463 arg "math-insert \\space"
3483 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
3484 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,
3490 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.
3493 \begin_layout Standard
3495 \begin_inset Tabular
3496 <lyxtabular version="3" rows="4" columns="2">
3497 <features booktabs="true" tabularvalignment="middle">
3498 <column alignment="center" valignment="top" width="0pt">
3499 <column alignment="center" valignment="top" width="0pt">
3501 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3504 \begin_layout Plain Layout
3510 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3513 \begin_layout Plain Layout
3520 <row topspace="1.5mm">
3521 <cell alignment="center" valignment="top" usebox="none">
3524 \begin_layout Plain Layout
3526 \begin_inset space \textvisiblespace{}
3532 \begin_inset space \textvisiblespace{}
3536 \begin_inset Formula $\to$
3540 \begin_inset space \textvisiblespace{}
3548 <cell alignment="center" valignment="top" usebox="none">
3551 \begin_layout Plain Layout
3552 \begin_inset Formula $_{\phantom{1}9}^{19}\mathrm{F}$
3561 <row topspace="1.5mm" bottomspace="0.5mm">
3562 <cell alignment="center" valignment="top" usebox="none">
3565 \begin_layout Plain Layout
3567 \begin_inset space \textvisiblespace{}
3573 \begin_inset space \textvisiblespace{}
3577 \begin_inset Formula $\to$
3581 \begin_inset space \textvisiblespace{}
3589 <cell alignment="center" valignment="top" usebox="none">
3592 \begin_layout Plain Layout
3593 \begin_inset Formula $_{\phantom{23}9}^{235}\mathrm{F}$
3602 <row topspace="1.5mm" bottomspace="0.5mm">
3603 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3606 \begin_layout Plain Layout
3610 \begin_inset space \textvisiblespace{}
3616 \begin_inset space \textvisiblespace{}
3620 \begin_inset Formula $\to$
3624 \begin_inset space \textvisiblespace{}
3632 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3635 \begin_layout Plain Layout
3636 \begin_inset Formula $\Lambda_{MMt}^{\phantom{ii}t}$
3652 \begin_layout Standard
3660 \begin_inset Index idx
3665 \begin_layout Plain Layout
3674 \begin_inset space ~
3690 \begin_inset Index idx
3695 \begin_layout Plain Layout
3704 \begin_inset space ~
3719 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.
3725 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.
3728 \begin_layout Standard
3736 \begin_inset space \textvisiblespace{}
3749 \begin_layout Plain Layout
3757 \begin_inset CommandInset ref
3759 reference "subsec:大演算子"
3768 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
3769 \begin_inset CommandInset ref
3771 reference "subsec:多行にわたる括弧"
3778 \begin_layout Standard
3781 挿入\SpecialChar menuseparator
3782 整形\SpecialChar menuseparator
3785 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.
3788 \begin_layout Standard
3790 \begin_inset Newline newline
3794 \begin_inset Phantom Phantom
3797 \begin_layout Plain Layout
3806 \begin_layout Subsection
3808 \begin_inset Index idx
3813 \begin_layout Plain Layout
3820 \begin_inset Index idx
3825 \begin_layout Plain Layout
3832 \begin_inset Index idx
3837 \begin_layout Plain Layout
3842 \begin_layout Plain Layout
3853 \begin_layout Plain Layout
3868 \begin_layout Standard
3870 \begin_inset Tabular
3871 <lyxtabular version="3" rows="4" columns="2">
3872 <features booktabs="true" tabularvalignment="middle">
3873 <column alignment="center" valignment="top" width="0pt">
3874 <column alignment="center" valignment="top" width="0pt">
3876 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3879 \begin_layout Plain Layout
3885 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3888 \begin_layout Plain Layout
3895 <row topspace="2mm">
3896 <cell alignment="center" valignment="top" usebox="none">
3899 \begin_layout Plain Layout
3903 \begin_inset space \textvisiblespace{}
3907 \begin_inset Index idx
3912 \begin_layout Plain Layout
3925 <cell alignment="center" valignment="top" usebox="none">
3928 \begin_layout Plain Layout
3929 \begin_inset Formula $\overline{A+B}$
3938 <row bottomspace="1mm">
3939 <cell alignment="center" valignment="top" usebox="none">
3942 \begin_layout Plain Layout
3946 \begin_inset space \textvisiblespace{}
3950 \begin_inset Index idx
3955 \begin_layout Plain Layout
3968 <cell alignment="center" valignment="top" usebox="none">
3971 \begin_layout Plain Layout
3972 \begin_inset Formula $\underline{A+B}$
3981 <row topspace="2mm" bottomspace="1mm">
3982 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
3985 \begin_layout Plain Layout
3989 \begin_inset space \textvisiblespace{}
3995 \begin_inset space \textvisiblespace{}
4003 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4006 \begin_layout Plain Layout
4007 \begin_inset Formula $\overline{\underline{A+B}}$
4023 \begin_layout Standard
4039 \begin_layout Standard
4049 \begin_layout Standard
4050 文字の上下6本の線まで引くことができます.
4053 \begin_layout Standard
4054 \begin_inset VSpace bigskip
4064 \begin_inset Index idx
4069 \begin_layout Plain Layout
4080 \begin_layout Standard
4085 rule[垂直オフセット幅]{長さ}{厚み}
4088 \begin_layout Standard
4093 」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
4094 \begin_inset CommandInset ref
4096 reference "tab:使用できる単位"
4100 表に掲げてある単位を用いることができます.以下に,
4101 \begin_inset Newline newline
4108 rule[-2ex]{3cm}{2pt}
4115 \begin_inset Newline newline
4120 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.
4123 \begin_layout Standard
4125 \begin_inset Formula $\rule[-2ex]{3cm}{2pt}\rule{2cm}{1pt}$
4131 \begin_layout Standard
4136 挿入\SpecialChar menuseparator
4137 整形\SpecialChar menuseparator
4140 を使っても,本文に挿入することができます.
4143 \begin_layout Standard
4145 \begin_inset CommandInset line
4156 \begin_layout Subsection
4158 \begin_inset CommandInset label
4165 \begin_inset Index idx
4170 \begin_layout Plain Layout
4179 \begin_layout Standard
4180 省略符号には,いくつかの種類が使用できます
4184 \begin_layout Plain Layout
4188 arg "math-insert \\ldots"
4203 \begin_inset Index idx
4208 \begin_layout Plain Layout
4216 )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(
4223 \begin_inset Index idx
4228 \begin_layout Plain Layout
4243 \begin_inset Index idx
4248 \begin_layout Plain Layout
4256 コマンドを使うと,\SpecialChar LaTeX
4257 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.
4260 \begin_layout Standard
4262 \begin_inset Tabular
4263 <lyxtabular version="3" rows="9" columns="2">
4264 <features booktabs="true" tabularvalignment="middle">
4265 <column alignment="center" valignment="top" width="0pt">
4266 <column alignment="center" valignment="top" width="0pt">
4268 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4271 \begin_layout Plain Layout
4277 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4280 \begin_layout Plain Layout
4288 <cell alignment="center" valignment="top" usebox="none">
4291 \begin_layout Plain Layout
4293 \begin_inset space \textvisiblespace{}
4299 \begin_inset space \textvisiblespace{}
4307 <cell alignment="center" valignment="top" usebox="none">
4310 \begin_layout Plain Layout
4311 \begin_inset Formula $A_{1},\dots,A_{n}$
4321 <cell alignment="center" valignment="top" usebox="none">
4324 \begin_layout Plain Layout
4326 \begin_inset space \textvisiblespace{}
4332 \begin_inset space \textvisiblespace{}
4340 <cell alignment="center" valignment="top" usebox="none">
4343 \begin_layout Plain Layout
4344 \begin_inset Formula $A_{1}+\dots+A_{n}$
4354 <cell alignment="center" valignment="top" usebox="none">
4357 \begin_layout Plain Layout
4359 \begin_inset space \textvisiblespace{}
4365 \begin_inset space \textvisiblespace{}
4373 <cell alignment="center" valignment="top" usebox="none">
4376 \begin_layout Plain Layout
4377 \begin_inset Formula $A_{1},\ldots,A_{n}$
4387 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
4390 \begin_layout Plain Layout
4392 \begin_inset space \textvisiblespace{}
4398 \begin_inset space \textvisiblespace{}
4406 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
4409 \begin_layout Plain Layout
4410 \begin_inset Formula $A_{1}+\cdots+A_{n}$
4420 <cell alignment="center" valignment="top" usebox="none">
4423 \begin_layout Plain Layout
4431 <cell alignment="center" valignment="top" usebox="none">
4434 \begin_layout Plain Layout
4435 \begin_inset Formula $\vdots$
4445 <cell alignment="center" valignment="top" usebox="none">
4448 \begin_layout Plain Layout
4456 <cell alignment="center" valignment="top" usebox="none">
4459 \begin_layout Plain Layout
4460 \begin_inset Formula $\ddots$
4470 <cell alignment="center" valignment="top" usebox="none">
4473 \begin_layout Plain Layout
4481 <cell alignment="center" valignment="top" usebox="none">
4484 \begin_layout Plain Layout
4485 \begin_inset Formula $\iddots$
4495 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4498 \begin_layout Plain Layout
4500 \begin_inset Formula $3\times3$
4508 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
4511 \begin_layout Plain Layout
4512 \begin_inset Formula $\begin{array}{ccc}
4513 A_{11} & \cdots & A_{1m}\\
4514 \vdots & \ddots & \vdots\\
4515 A_{n1} & \cdots & A_{nm}
4532 \begin_layout Standard
4535 挿入\SpecialChar menuseparator
4547 \begin_layout Standard
4548 \begin_inset VSpace medskip
4563 mathdotsパッケージを(自動的に)使う
4565 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.
4566 \begin_inset Newline newline
4573 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.
4576 \begin_layout Standard
4577 \begin_inset VSpace medskip
4580 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
4587 \begin_inset Index idx
4592 \begin_layout Plain Layout
4603 \begin_layout Standard
4611 \begin_layout Standard
4612 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.
4615 \begin_layout Standard
4628 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.
4629 \begin_inset Formula
4631 \left(\begin{array}{cccc}
4640 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
4644 \begin_layout Standard
4645 \begin_inset VSpace bigskip
4655 \begin_inset Index idx
4660 \begin_layout Plain Layout
4668 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,
4675 \begin_inset CommandInset ref
4677 reference "subsec:可変長の空白"
4684 \begin_layout Standard
4690 \begin_inset space \textvisiblespace{}
4698 \begin_layout Standard
4699 \begin_inset Formula $A\dotfill B$
4705 \begin_layout Standard
4719 \begin_inset Index idx
4724 \begin_layout Plain Layout
4735 \begin_layout Standard
4736 \begin_inset Formula $A\hrulefill B$
4742 \begin_layout Standard
4743 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
4747 \begin_layout Section
4749 \begin_inset CommandInset label
4756 \begin_inset Index idx
4761 \begin_layout Plain Layout
4770 \begin_layout Standard
4774 arg "dialog-show mathmatrix"
4779 挿入\SpecialChar menuseparator
4780 数式\SpecialChar menuseparator
4783 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.
4786 \begin_layout Standard
4788 \begin_inset Formula $\begin{array}[t]{cccc}
4796 \begin_inset Formula $\begin{array}{cccc}
4804 \begin_inset Formula $\begin{array}[b]{cccc}
4814 \begin_layout Standard
4815 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.
4827 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
4828 \begin_inset Formula $4\times4$
4835 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
4842 \begin_layout Standard
4846 \begin_layout Standard
4852 \begin_inset Formula $\begin{array}{lll}
4864 \begin_inset Formula $\begin{array}{ccc}
4876 \begin_inset Formula $\begin{array}{rrr}
4886 \begin_layout Standard
4887 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
4890 arg "tabular-feature append-row"
4896 arg "tabular-feature delete-row"
4901 編集\SpecialChar menuseparator
4904 メニューを使用することができます.また,行は
4907 arg "newline-insert newline"
4913 \begin_layout Standard
4914 \begin_inset VSpace bigskip
4920 \begin_layout Standard
4925 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,
4932 \begin_inset Index idx
4937 \begin_layout Plain Layout
4952 \begin_inset Index idx
4957 \begin_layout Plain Layout
4966 \begin_inset Flex Ruby
4969 \begin_layout Plain Layout
4971 \begin_inset Argument post:1
4974 \begin_layout Plain Layout
4988 \begin_inset space ~
4994 \begin_inset CommandInset ref
4996 reference "subsec:自動の括弧丈"
5000 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.
5001 \begin_inset VSpace medskip
5007 \begin_layout Standard
5008 \begin_inset space \hfill{}
5012 \begin_inset Tabular
5013 <lyxtabular version="3" rows="4" columns="2">
5014 <features booktabs="true" tabularvalignment="middle">
5015 <column alignment="center" valignment="top" width="0pt">
5016 <column alignment="center" valignment="top">
5018 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5021 \begin_layout Plain Layout
5027 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5030 \begin_layout Plain Layout
5037 <row topspace="1.5mm">
5038 <cell alignment="center" valignment="top" usebox="none">
5041 \begin_layout Plain Layout
5045 \begin_inset space \textvisiblespace{}
5049 \begin_inset Formula $2\times2$
5057 <cell alignment="center" valignment="top" usebox="none">
5060 \begin_layout Plain Layout
5061 \begin_inset Formula $\begin{bmatrix}\begin{array}{cc}
5062 0 & \textrm{-}\mathrm{i}\\
5064 \end{array}\end{bmatrix}$
5073 <row topspace="1.5mm" bottomspace="0.5mm">
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 $\begin{Bmatrix}\begin{array}{cc}
5098 0 & \textrm{-}\mathrm{i}\\
5100 \end{array}\end{Bmatrix}$
5110 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5113 \begin_layout Plain Layout
5117 \begin_inset space \textvisiblespace{}
5121 \begin_inset Formula $2\times2$
5129 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5132 \begin_layout Plain Layout
5133 \begin_inset Formula $\begin{pmatrix}\begin{array}{cc}
5134 0 & \textrm{-}\mathrm{i}\\
5136 \end{array}\end{pmatrix}$
5150 \begin_inset space \hfill{}
5154 \begin_inset Tabular
5155 <lyxtabular version="3" rows="4" columns="2">
5156 <features booktabs="true" tabularvalignment="middle">
5157 <column alignment="center" valignment="top" width="0pt">
5158 <column alignment="center" valignment="top">
5160 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5163 \begin_layout Plain Layout
5169 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5172 \begin_layout Plain Layout
5179 <row topspace="1.5mm">
5180 <cell alignment="center" valignment="top" usebox="none">
5183 \begin_layout Plain Layout
5187 \begin_inset space \textvisiblespace{}
5191 \begin_inset Formula $2\times2$
5199 <cell alignment="center" valignment="top" usebox="none">
5202 \begin_layout Plain Layout
5203 \begin_inset Formula $\begin{vmatrix}\begin{array}{cc}
5204 0 & \textrm{-}\mathrm{i}\\
5206 \end{array}\end{vmatrix}$
5215 <row topspace="1.5mm" bottomspace="0.5mm">
5216 <cell alignment="center" valignment="top" usebox="none">
5219 \begin_layout Plain Layout
5223 \begin_inset space \textvisiblespace{}
5227 \begin_inset Formula $2\times2$
5235 <cell alignment="center" valignment="top" usebox="none">
5238 \begin_layout Plain Layout
5239 \begin_inset Formula $\begin{Vmatrix}\begin{array}{cc}
5240 0 & \textrm{-}\mathrm{i}\\
5242 \end{array}\end{Vmatrix}$
5252 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5255 \begin_layout Plain Layout
5259 \begin_inset space \textvisiblespace{}
5263 \begin_inset Formula $2\times2$
5271 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5274 \begin_layout Plain Layout
5275 \begin_inset Formula $\begin{matrix}\begin{array}{cc}
5276 0 & \textrm{-}\mathrm{i}\\
5278 \end{array}\end{matrix}$
5292 \begin_inset space \hfill{}
5298 \begin_layout Standard
5299 \begin_inset VSpace medskip
5308 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.
5311 \begin_layout Standard
5312 \begin_inset VSpace bigskip
5315 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
5316 \begin_inset CommandInset ref
5318 reference "subsec:列間"
5329 \begin_inset Index idx
5334 \begin_layout Plain Layout
5345 \begin_layout Standard
5353 \begin_inset Index idx
5358 \begin_layout Plain Layout
5366 コマンドを使用します.以下のようにして使用します.
5369 \begin_layout Standard
5377 \begin_inset Index idx
5382 \begin_layout Plain Layout
5393 \begin_layout Standard
5406 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
5416 \begin_layout Standard
5424 \begin_inset Index idx
5429 \begin_layout Plain Layout
5437 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.
5440 \begin_layout Standard
5442 \begin_inset Formula $\left(\begin{smallmatrix}A & B\\
5444 \end{smallmatrix}\right)$
5450 \begin_layout Section
5452 \begin_inset Index idx
5457 \begin_layout Plain Layout
5464 \begin_inset Index idx
5469 \begin_layout Plain Layout
5478 \begin_layout Subsection
5480 \begin_inset Index idx
5485 \begin_layout Plain Layout
5487 \begin_inset space \thinspace{}
5498 \begin_layout Standard
5499 \begin_inset space \hfill{}
5503 \begin_inset Tabular
5504 <lyxtabular version="3" rows="9" columns="2">
5505 <features booktabs="true" tabularvalignment="middle">
5506 <column alignment="center" valignment="top" width="0pt">
5507 <column alignment="center" valignment="top" width="0pt">
5509 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5512 \begin_layout Plain Layout
5518 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5521 \begin_layout Plain Layout
5529 <cell alignment="center" valignment="top" usebox="none">
5532 \begin_layout Plain Layout
5538 <cell alignment="center" valignment="top" usebox="none">
5541 \begin_layout Plain Layout
5542 \begin_inset Formula $($
5552 <cell alignment="center" valignment="top" usebox="none">
5555 \begin_layout Plain Layout
5561 <cell alignment="center" valignment="top" usebox="none">
5564 \begin_layout Plain Layout
5565 \begin_inset Formula $\{$
5575 <cell alignment="center" valignment="top" usebox="none">
5578 \begin_layout Plain Layout
5584 <cell alignment="center" valignment="top" usebox="none">
5587 \begin_layout Plain Layout
5588 \begin_inset Formula $[$
5598 <cell alignment="center" valignment="top" usebox="none">
5601 \begin_layout Plain Layout
5609 <cell alignment="center" valignment="top" usebox="none">
5612 \begin_layout Plain Layout
5613 \begin_inset Formula $\langle$
5623 <cell alignment="center" valignment="top" usebox="none">
5626 \begin_layout Plain Layout
5634 <cell alignment="center" valignment="top" usebox="none">
5637 \begin_layout Plain Layout
5638 \begin_inset Formula $\lceil$
5648 <cell alignment="center" valignment="top" usebox="none">
5651 \begin_layout Plain Layout
5659 <cell alignment="center" valignment="top" usebox="none">
5662 \begin_layout Plain Layout
5663 \begin_inset Formula $\lfloor$
5673 <cell alignment="center" valignment="top" usebox="none">
5676 \begin_layout Plain Layout
5682 <cell alignment="center" valignment="top" usebox="none">
5685 \begin_layout Plain Layout
5686 \begin_inset Formula $/$
5696 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5699 \begin_layout Plain Layout
5705 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5708 \begin_layout Plain Layout
5709 \begin_inset Formula $|$
5723 \begin_inset space \hfill{}
5727 \begin_inset Tabular
5728 <lyxtabular version="3" rows="9" columns="2">
5729 <features booktabs="true" tabularvalignment="middle">
5730 <column alignment="center" valignment="top" width="0pt">
5731 <column alignment="center" valignment="top" width="0pt">
5733 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5736 \begin_layout Plain Layout
5742 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
5745 \begin_layout Plain Layout
5753 <cell alignment="center" valignment="top" usebox="none">
5756 \begin_layout Plain Layout
5762 <cell alignment="center" valignment="top" usebox="none">
5765 \begin_layout Plain Layout
5766 \begin_inset Formula $)$
5776 <cell alignment="center" valignment="top" usebox="none">
5779 \begin_layout Plain Layout
5785 <cell alignment="center" valignment="top" usebox="none">
5788 \begin_layout Plain Layout
5789 \begin_inset Formula $\}$
5799 <cell alignment="center" valignment="top" usebox="none">
5802 \begin_layout Plain Layout
5808 <cell alignment="center" valignment="top" usebox="none">
5811 \begin_layout Plain Layout
5812 \begin_inset Formula $]$
5822 <cell alignment="center" valignment="top" usebox="none">
5825 \begin_layout Plain Layout
5833 <cell alignment="center" valignment="top" usebox="none">
5836 \begin_layout Plain Layout
5837 \begin_inset Formula $\rangle$
5847 <cell alignment="center" valignment="top" usebox="none">
5850 \begin_layout Plain Layout
5858 <cell alignment="center" valignment="top" usebox="none">
5861 \begin_layout Plain Layout
5862 \begin_inset Formula $\rceil$
5872 <cell alignment="center" valignment="top" usebox="none">
5875 \begin_layout Plain Layout
5883 <cell alignment="center" valignment="top" usebox="none">
5886 \begin_layout Plain Layout
5887 \begin_inset Formula $\rfloor$
5897 <cell alignment="center" valignment="top" usebox="none">
5900 \begin_layout Plain Layout
5910 <cell alignment="center" valignment="top" usebox="none">
5913 \begin_layout Plain Layout
5914 \begin_inset Formula $\backslash$
5924 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5927 \begin_layout Plain Layout
5935 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
5938 \begin_layout Plain Layout
5939 \begin_inset Formula $\|$
5953 \begin_inset space \hfill{}
5959 \begin_layout Standard
5960 \begin_inset Note Greyedout
5963 \begin_layout Plain Layout
5973 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
5980 \begin_inset Index idx
5985 \begin_layout Plain Layout
6001 \begin_layout Standard
6002 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,
6015 \begin_inset Formula $<$
6019 \begin_inset Formula $>$
6025 \begin_layout Subsubsection
6027 \begin_inset CommandInset label
6029 name "subsec:手動の括弧丈"
6034 \begin_inset Index idx
6039 \begin_layout Plain Layout
6048 \begin_layout Standard
6049 括弧の丈は,\SpecialChar LaTeX
6057 \begin_inset Index idx
6062 \begin_layout Plain Layout
6088 を使って,手動で指定することができます.
6103 \begin_layout Standard
6104 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.
6107 \begin_layout Standard
6109 \begin_inset Tabular
6110 <lyxtabular version="3" rows="2" columns="2">
6111 <features booktabs="true" tabularvalignment="middle">
6112 <column alignment="center" valignment="top" width="0pt">
6113 <column alignment="center" valignment="top" width="0pt">
6115 <cell alignment="center" valignment="top" usebox="none">
6118 \begin_layout Plain Layout
6124 <cell alignment="center" valignment="top" usebox="none">
6127 \begin_layout Plain Layout
6128 \begin_inset Formula $((A+B)(A-B))^{C}$
6137 <row topspace="2mm">
6138 <cell alignment="center" valignment="top" usebox="none">
6141 \begin_layout Plain Layout
6147 <cell alignment="center" valignment="top" usebox="none">
6150 \begin_layout Plain Layout
6151 \begin_inset Formula $\Big((A+B)(A-B)\Big)^{C}$
6167 \begin_layout Standard
6175 \begin_inset space \textvisiblespace{}
6183 \begin_layout Standard
6187 \begin_layout Standard
6196 \begin_inset Formula $<$
6208 \begin_inset space \textvisiblespace{}
6216 \begin_inset space \textvisiblespace{}
6220 \begin_inset space \textvisiblespace{}
6226 \begin_inset Formula $>$
6234 \begin_layout Standard
6236 \begin_inset Formula $\Bigg(\exp\bigg<\Big[\big\{\ln(3x)\big\}^{2}\sin(x)\Big]^{A}\bigg>\Bigg)^{0,5}$
6242 \begin_layout Standard
6249 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
6256 \begin_inset Index idx
6261 \begin_layout Plain Layout
6282 \begin_inset Index idx
6287 \begin_layout Plain Layout
6307 は,左括弧であることを示し,右括弧の場合には,
6315 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.
6318 \begin_layout Standard
6322 \begin_layout Standard
6324 \begin_inset Tabular
6325 <lyxtabular version="3" rows="5" columns="2">
6326 <features booktabs="true" tabularvalignment="middle">
6327 <column alignment="center" valignment="top" width="0pt">
6328 <column alignment="center" valignment="middle">
6330 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6333 \begin_layout Plain Layout
6339 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6342 \begin_layout Plain Layout
6349 <row topspace="2mm">
6350 <cell alignment="center" valignment="top" usebox="none">
6353 \begin_layout Plain Layout
6363 \begin_inset space \textvisiblespace{}
6373 <cell alignment="center" valignment="top" usebox="none">
6376 \begin_layout Plain Layout
6377 \begin_inset Formula $\Bigm(\bigm(\ln(3x)\bigm)^{2}\Bigm)$
6386 <row topspace="2mm">
6387 <cell alignment="center" valignment="top" usebox="none">
6390 \begin_layout Plain Layout
6400 \begin_inset space \textvisiblespace{}
6410 <cell alignment="center" valignment="top" usebox="none">
6413 \begin_layout Plain Layout
6414 \begin_inset Formula $\Big(\big(\ln(3x)\big)^{2}\Big)$
6423 <row topspace="2mm" bottomspace="0.5mm">
6424 <cell alignment="center" valignment="top" usebox="none">
6427 \begin_layout Plain Layout
6437 \begin_inset space \textvisiblespace{}
6447 <cell alignment="center" valignment="top" usebox="none">
6450 \begin_layout Plain Layout
6451 \begin_inset Formula $\Bigl(\bigl(\ln(3x)\bigr)^{2}\Bigr)$
6460 <row topspace="1.5mm" bottomspace="0.5mm">
6461 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6464 \begin_layout Plain Layout
6476 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6479 \begin_layout Plain Layout
6480 \begin_inset Formula $\bigl)\ln(3x)\bigr($
6496 \begin_layout Subsubsection
6498 \begin_inset CommandInset label
6500 name "subsec:自動の括弧丈"
6505 \begin_inset Index idx
6510 \begin_layout Plain Layout
6519 \begin_layout Standard
6527 \begin_inset Index idx
6532 \begin_layout Plain Layout
6547 \begin_inset Index idx
6552 \begin_layout Plain Layout
6560 コマンド,あるいは数式ツールバーボタンの
6563 arg "dialog-show mathdelimiter"
6578 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.
6581 \begin_layout Standard
6590 \begin_inset space \textvisiblespace{}
6594 \begin_inset Formula $\downarrow$
6598 \begin_inset space \textvisiblespace{}
6604 \begin_inset Formula
6614 \begin_layout Standard
6625 \begin_inset space \textvisiblespace{}
6629 \begin_inset Formula $\downarrow$
6633 \begin_inset space \textvisiblespace{}
6641 \begin_inset Formula
6643 \ln\left(\frac{A}{C}\right)
6651 \begin_layout Standard
6665 \begin_inset Flex Ruby
6668 \begin_layout Plain Layout
6670 \begin_inset Argument post:1
6673 \begin_layout Plain Layout
6687 \begin_inset space ~
6692 を使うこともできます.これを使うと,\SpecialChar LyX
6693 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.
6694 \begin_inset Newline newline
6708 \begin_inset space \textvisiblespace{}
6712 \begin_inset Formula $\downarrow$
6720 \begin_layout Standard
6721 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,
6728 \begin_inset space \textvisiblespace{}
6732 \begin_inset Formula $\downarrow$
6736 \begin_inset space \textvisiblespace{}
6746 \begin_inset Formula
6748 \left.\frac{A}{B}\right\}
6767 コマンドは,文書が再度読み込まれたときには,\SpecialChar LyX
6768 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.
6771 \begin_layout Standard
6772 \begin_inset VSpace bigskip
6775 著名な\SpecialChar LaTeX
6776 頒布版は,すべて\SpecialChar LaTeX
6777 の拡張であるe\SpecialChar TeX
6778 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
6785 \begin_inset Index idx
6790 \begin_layout Plain Layout
6802 \begin_layout Plain Layout
6814 コマンドは使えません.よって,以下の例では「
6821 \begin_inset Formula $|$
6831 \begin_inset Formula $|$
6840 \begin_inset Formula
6842 \left\langle \phi\:\biggm|\:J=\frac{3}{2}\,,\,M_{J}\right\rangle
6847 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
6848 \begin_inset CommandInset ref
6850 reference "subsec:物理ベクトル"
6854 節に説明されているように特殊な\SpecialChar LaTeX
6858 \begin_layout Subsection
6860 \begin_inset Index idx
6865 \begin_layout Plain Layout
6867 \begin_inset space \thinspace{}
6878 \begin_layout Standard
6880 \begin_inset Tabular
6881 <lyxtabular version="3" rows="4" columns="2">
6882 <features booktabs="true" tabularvalignment="middle">
6883 <column alignment="center" valignment="top" width="0pt">
6884 <column alignment="center" valignment="top" width="0pt">
6886 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6889 \begin_layout Plain Layout
6895 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
6898 \begin_layout Plain Layout
6906 <cell alignment="center" valignment="top" usebox="none">
6909 \begin_layout Plain Layout
6913 \begin_inset space \textvisiblespace{}
6917 \begin_inset space \textvisiblespace{}
6921 \begin_inset space \textvisiblespace{}
6925 \begin_inset Index idx
6930 \begin_layout Plain Layout
6943 <cell alignment="center" valignment="top" usebox="none">
6946 \begin_layout Plain Layout
6947 \begin_inset Formula $\overbrace{A+B}^{3}$
6956 <row topspace="2mm">
6957 <cell alignment="center" valignment="top" usebox="none">
6960 \begin_layout Plain Layout
6964 \begin_inset space \textvisiblespace{}
6968 \begin_inset space \textvisiblespace{}
6972 \begin_inset Index idx
6977 \begin_layout Plain Layout
6990 <cell alignment="center" valignment="top" usebox="none">
6993 \begin_layout Plain Layout
6994 \begin_inset Formula $\underbrace{A+B}_{5}$
7004 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7007 \begin_layout Plain Layout
7011 \begin_inset space \textvisiblespace{}
7017 \begin_inset space \textvisiblespace{}
7021 \begin_inset space \textvisiblespace{}
7025 \begin_inset space \textvisiblespace{}
7029 \begin_inset space \textvisiblespace{}
7033 \begin_inset space \textvisiblespace{}
7037 \begin_inset space \textvisiblespace{}
7045 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7048 \begin_layout Plain Layout
7049 \begin_inset Formula $\overbrace{\underbrace{A+B_{w}}_{7}}^{C}$
7065 \begin_layout Standard
7078 が先に挿入されようが代わりはありません.
7081 \begin_layout Standard
7082 \begin_inset VSpace medskip
7088 \begin_layout Standard
7098 \begin_inset Index idx
7103 \begin_layout Plain Layout
7104 ぱっけーじ@パッケージ ! mathtools
7113 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.
7116 \begin_layout Standard
7118 \begin_inset Tabular
7119 <lyxtabular version="3" rows="4" columns="2">
7120 <features booktabs="true" tabularvalignment="middle">
7121 <column alignment="center" valignment="top" width="0pt">
7122 <column alignment="center" valignment="top" width="0pt">
7124 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7127 \begin_layout Plain Layout
7133 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7136 \begin_layout Plain Layout
7144 <cell alignment="center" valignment="top" usebox="none">
7147 \begin_layout Plain Layout
7151 \begin_inset space \textvisiblespace{}
7155 \begin_inset Index idx
7160 \begin_layout Plain Layout
7173 <cell alignment="center" valignment="top" usebox="none">
7176 \begin_layout Plain Layout
7177 \begin_inset Formula $\overbracket{A+B}^{3}$
7186 <row topspace="2mm">
7187 <cell alignment="center" valignment="top" usebox="none">
7190 \begin_layout Plain Layout
7194 \begin_inset space \textvisiblespace{}
7198 \begin_inset Index idx
7203 \begin_layout Plain Layout
7218 <cell alignment="center" valignment="top" usebox="none">
7221 \begin_layout Plain Layout
7222 \begin_inset Formula $\underbracket{A+B}_{5}$
7232 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7235 \begin_layout Plain Layout
7241 \begin_inset space \textvisiblespace{}
7245 \begin_inset space \textvisiblespace{}
7249 \begin_inset space \textvisiblespace{}
7253 \begin_inset space \textvisiblespace{}
7257 \begin_inset space \textvisiblespace{}
7265 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7268 \begin_layout Plain Layout
7269 \begin_inset Formula $\overbracket{\underbracket{A+B_{w}}_{7}}^{C}$
7285 \begin_layout Standard
7298 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.
7301 \begin_layout Standard
7303 \begin_inset Tabular
7304 <lyxtabular version="3" rows="3" columns="2">
7305 <features booktabs="true" tabularvalignment="middle">
7306 <column alignment="center" valignment="top" width="0pt">
7307 <column alignment="center" valignment="top" width="0pt">
7309 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7312 \begin_layout Plain Layout
7318 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7321 \begin_layout Plain Layout
7329 <cell alignment="center" valignment="top" usebox="none">
7332 \begin_layout Plain Layout
7338 \begin_inset space \textvisiblespace{}
7346 <cell alignment="center" valignment="top" usebox="none">
7349 \begin_layout Plain Layout
7350 \begin_inset Formula $\overbracket[3pt]{A+B}^{3}$
7359 <row topspace="2mm">
7360 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7363 \begin_layout Plain Layout
7369 \begin_inset space \textvisiblespace{}
7377 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7380 \begin_layout Plain Layout
7381 \begin_inset Formula $\underbracket[1pt]{A+B}_{5}$
7397 \begin_layout Standard
7398 \begin_inset VSpace bigskip
7401 括弧をお互いに重ねる必要がある場合には,第
7402 \begin_inset CommandInset ref
7404 reference "sec:多行数式"
7408 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.
7409 \begin_inset Formula
7411 A & = & \underbrace{gggg+bbqq}_{r}+\:dddd\\
7412 & & \hphantom{gggg+\:}\underbrace{\hphantom{bbqq+dddd}}_{s}
7417 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
7421 \begin_layout Plain Layout
7423 \begin_inset CommandInset ref
7425 reference "subsec:定義済みの空白"
7441 \begin_inset Formula $d$
7444 の前に挿入しておくことが重要です.さもないと,
7445 \begin_inset Formula $q$
7448 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
7452 \begin_layout Plain Layout
7453 これは,括弧が文字として取り扱われないためです.第
7454 \begin_inset CommandInset ref
7456 reference "subsec:二項演算子"
7465 ためです.二行目には,二つめの括弧が挿入されています.
7466 \begin_inset Formula $b$
7481 \begin_layout Plain Layout
7489 \begin_inset CommandInset ref
7491 reference "subsec:埋め草"
7500 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
7509 \begin_layout Standard
7510 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.
7514 \begin_layout Plain Layout
7526 \begin_inset Formula
7528 & & \hphantom{gggg+\:}\overbrace{\hphantom{bbqq+dddd}}^{s}\\
7529 A & = & \underbrace{gggg+bbqq}_{r}+\:dddd
7538 \begin_layout Plain Layout
7549 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
7550 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
7555 \begin_layout Plain Layout
7556 \begin_inset CommandInset href
7558 name "LyX-bug #1505"
7559 target "https://www.lyx.org/trac/ticket/1505"
7569 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
7576 というコマンドを入れて,大域的な数式行間
7583 \begin_inset Index idx
7588 \begin_layout Plain Layout
7597 \begin_inset space \thinspace{}
7606 は,数式直後に同様のコマンドを使って標準値の3
7607 \begin_inset space \thinspace{}
7610 ptに戻します.数式中の行間について,詳しくは第
7611 \begin_inset CommandInset ref
7613 reference "subsec:行間"
7620 \begin_layout Section
7622 \begin_inset Index idx
7627 \begin_layout Plain Layout
7636 \begin_layout Standard
7640 arg "math-insert \\leftarrow"
7643 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.
7646 \begin_layout Subsection
7648 \begin_inset Index idx
7653 \begin_layout Plain Layout
7662 \begin_layout Standard
7663 \begin_inset space \hfill{}
7667 \begin_inset Tabular
7668 <lyxtabular version="3" rows="8" columns="2">
7669 <features booktabs="true" tabularvalignment="middle">
7670 <column alignment="center" valignment="top" width="0pt">
7671 <column alignment="center" valignment="top" width="0pt">
7673 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7676 \begin_layout Plain Layout
7682 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7685 \begin_layout Plain Layout
7693 <cell alignment="center" valignment="top" usebox="none">
7696 \begin_layout Plain Layout
7704 <cell alignment="center" valignment="top" usebox="none">
7707 \begin_layout Plain Layout
7708 \begin_inset Formula $\gets$
7718 <cell alignment="center" valignment="top" usebox="none">
7721 \begin_layout Plain Layout
7729 <cell alignment="center" valignment="top" usebox="none">
7732 \begin_layout Plain Layout
7733 \begin_inset Formula $\Leftarrow$
7743 <cell alignment="center" valignment="top" usebox="none">
7746 \begin_layout Plain Layout
7754 <cell alignment="center" valignment="top" usebox="none">
7757 \begin_layout Plain Layout
7758 \begin_inset Formula $\longleftarrow$
7768 <cell alignment="center" valignment="top" usebox="none">
7771 \begin_layout Plain Layout
7779 <cell alignment="center" valignment="top" usebox="none">
7782 \begin_layout Plain Layout
7783 \begin_inset Formula $\Longleftarrow$
7793 <cell alignment="center" valignment="top" usebox="none">
7796 \begin_layout Plain Layout
7804 <cell alignment="center" valignment="top" usebox="none">
7807 \begin_layout Plain Layout
7808 \begin_inset Formula $\leftharpoonup$
7818 <cell alignment="center" valignment="top" usebox="none">
7821 \begin_layout Plain Layout
7829 <cell alignment="center" valignment="top" usebox="none">
7832 \begin_layout Plain Layout
7833 \begin_inset Formula $\leftharpoondown$
7843 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7846 \begin_layout Plain Layout
7854 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
7857 \begin_layout Plain Layout
7858 \begin_inset Formula $\hookleftarrow$
7872 \begin_inset space \hfill{}
7876 \begin_inset Tabular
7877 <lyxtabular version="3" rows="8" columns="2">
7878 <features booktabs="true" tabularvalignment="middle">
7879 <column alignment="center" valignment="top" width="0pt">
7880 <column alignment="center" valignment="top" width="0pt">
7882 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7885 \begin_layout Plain Layout
7891 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
7894 \begin_layout Plain Layout
7902 <cell alignment="center" valignment="top" usebox="none">
7905 \begin_layout Plain Layout
7913 <cell alignment="center" valignment="top" usebox="none">
7916 \begin_layout Plain Layout
7917 \begin_inset Formula $\to$
7927 <cell alignment="center" valignment="top" usebox="none">
7930 \begin_layout Plain Layout
7938 <cell alignment="center" valignment="top" usebox="none">
7941 \begin_layout Plain Layout
7942 \begin_inset Formula $\Rightarrow$
7952 <cell alignment="center" valignment="top" usebox="none">
7955 \begin_layout Plain Layout
7963 <cell alignment="center" valignment="top" usebox="none">
7966 \begin_layout Plain Layout
7967 \begin_inset Formula $\longrightarrow$
7977 <cell alignment="center" valignment="top" usebox="none">
7980 \begin_layout Plain Layout
7988 <cell alignment="center" valignment="top" usebox="none">
7991 \begin_layout Plain Layout
7992 \begin_inset Formula $\Longrightarrow$
8002 <cell alignment="center" valignment="top" usebox="none">
8005 \begin_layout Plain Layout
8013 <cell alignment="center" valignment="top" usebox="none">
8016 \begin_layout Plain Layout
8017 \begin_inset Formula $\rightharpoonup$
8027 <cell alignment="center" valignment="top" usebox="none">
8030 \begin_layout Plain Layout
8038 <cell alignment="center" valignment="top" usebox="none">
8041 \begin_layout Plain Layout
8042 \begin_inset Formula $\rightharpoondown$
8052 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8055 \begin_layout Plain Layout
8063 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8066 \begin_layout Plain Layout
8067 \begin_inset Formula $\hookrightarrow$
8081 \begin_inset space \hfill{}
8087 \begin_layout Standard
8088 \begin_inset space \hfill{}
8092 \begin_inset Tabular
8093 <lyxtabular version="3" rows="6" columns="2">
8094 <features booktabs="true" tabularvalignment="middle">
8095 <column alignment="center" valignment="top" width="0pt">
8096 <column alignment="center" valignment="top" width="0pt">
8098 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8101 \begin_layout Plain Layout
8107 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8110 \begin_layout Plain Layout
8118 <cell alignment="center" valignment="top" usebox="none">
8121 \begin_layout Plain Layout
8129 <cell alignment="center" valignment="top" usebox="none">
8132 \begin_layout Plain Layout
8133 \begin_inset Formula $\leftrightarrow$
8143 <cell alignment="center" valignment="top" usebox="none">
8146 \begin_layout Plain Layout
8154 <cell alignment="center" valignment="top" usebox="none">
8157 \begin_layout Plain Layout
8158 \begin_inset Formula $\Leftrightarrow$
8168 <cell alignment="center" valignment="top" usebox="none">
8171 \begin_layout Plain Layout
8179 <cell alignment="center" valignment="top" usebox="none">
8182 \begin_layout Plain Layout
8183 \begin_inset Formula $\longleftrightarrow$
8193 <cell alignment="center" valignment="top" usebox="none">
8196 \begin_layout Plain Layout
8204 <cell alignment="center" valignment="top" usebox="none">
8207 \begin_layout Plain Layout
8208 \begin_inset Formula $\Longleftrightarrow$
8218 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8221 \begin_layout Plain Layout
8229 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8232 \begin_layout Plain Layout
8233 \begin_inset Formula $\rightleftharpoons$
8247 \begin_inset space \hspace{}
8252 \begin_inset space \hfill{}
8256 \begin_inset Tabular
8257 <lyxtabular version="3" rows="5" columns="2">
8258 <features booktabs="true" tabularvalignment="middle">
8259 <column alignment="center" valignment="top" width="0pt">
8260 <column alignment="center" valignment="top" width="0pt">
8262 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8265 \begin_layout Plain Layout
8271 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8274 \begin_layout Plain Layout
8282 <cell alignment="center" valignment="top" usebox="none">
8285 \begin_layout Plain Layout
8293 <cell alignment="center" valignment="top" usebox="none">
8296 \begin_layout Plain Layout
8297 \begin_inset Formula $\mapsto$
8307 <cell alignment="center" valignment="top" usebox="none">
8310 \begin_layout Plain Layout
8318 <cell alignment="center" valignment="top" usebox="none">
8321 \begin_layout Plain Layout
8322 \begin_inset Formula $\longmapsto$
8332 <cell alignment="center" valignment="top" usebox="none">
8335 \begin_layout Plain Layout
8343 <cell alignment="center" valignment="top" usebox="none">
8346 \begin_layout Plain Layout
8347 \begin_inset Formula $\leadsto$
8357 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8360 \begin_layout Plain Layout
8368 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8371 \begin_layout Plain Layout
8372 \begin_inset Formula $\dasharrow$
8386 \begin_inset space \hfill{}
8392 \begin_layout Standard
8393 \begin_inset VSpace medskip
8396 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
8397 \begin_inset CommandInset ref
8399 reference "sec:アクセント"
8406 \begin_layout Standard
8407 \begin_inset VSpace bigskip
8411 \begin_inset Index idx
8416 \begin_layout Plain Layout
8417 やじるし@矢印 ! らべるつき@ラベル付き
8429 \begin_inset Index idx
8434 \begin_layout Plain Layout
8449 \begin_inset Index idx
8454 \begin_layout Plain Layout
8461 \begin_layout Plain Layout
8475 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
8479 \begin_layout Standard
8481 \begin_inset Tabular
8482 <lyxtabular version="3" rows="3" columns="2">
8483 <features booktabs="true" tabularvalignment="middle">
8484 <column alignment="center" valignment="top" width="0pt">
8485 <column alignment="center" valignment="top" width="0pt">
8487 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8490 \begin_layout Plain Layout
8496 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8499 \begin_layout Plain Layout
8507 <cell alignment="center" valignment="top" usebox="none">
8510 \begin_layout Plain Layout
8514 \begin_inset space \textvisiblespace{}
8518 \begin_inset Formula $\downarrow$
8522 \begin_inset Formula $\to$
8530 <cell alignment="center" valignment="top" usebox="none">
8533 \begin_layout Plain Layout
8534 \begin_inset Formula $F(a)\xleftarrow[x>0]{x=a}F(x)$
8543 <row topspace="2mm">
8544 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8547 \begin_layout Plain Layout
8551 \begin_inset space \textvisiblespace{}
8555 \begin_inset Formula $\downarrow$
8559 \begin_inset Formula $\to$
8567 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8570 \begin_layout Plain Layout
8571 \begin_inset Formula $F(x)\xrightarrow[x>0]{x=a}F(a)$
8587 \begin_layout Standard
8588 \begin_inset VSpace medskip
8594 \begin_layout Standard
8604 \begin_inset Index idx
8609 \begin_layout Plain Layout
8610 ぱっけーじ@パッケージ ! mathtools
8619 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.
8622 \begin_layout Standard
8623 \begin_inset Newpage newpage
8629 \begin_layout Standard
8631 \begin_inset space \hspace*{\fill}
8635 \begin_inset Tabular
8636 <lyxtabular version="3" rows="7" columns="2">
8637 <features booktabs="true" tabularvalignment="middle">
8638 <column alignment="center" valignment="top" width="0pt">
8639 <column alignment="center" valignment="top" width="0pt">
8641 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8644 \begin_layout Plain Layout
8650 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8653 \begin_layout Plain Layout
8661 <cell alignment="center" valignment="top" usebox="none">
8664 \begin_layout Plain Layout
8672 <cell alignment="center" valignment="top" usebox="none">
8675 \begin_layout Plain Layout
8676 \begin_inset Formula $\xleftrightarrow[x=a]{x>0}$
8685 <row topspace="2mm">
8686 <cell alignment="center" valignment="top" usebox="none">
8689 \begin_layout Plain Layout
8697 <cell alignment="center" valignment="top" usebox="none">
8700 \begin_layout Plain Layout
8701 \begin_inset Formula $\xLeftarrow[x=a]{x>0}$
8710 <row topspace="2mm">
8711 <cell alignment="center" valignment="top" usebox="none">
8714 \begin_layout Plain Layout
8722 <cell alignment="center" valignment="top" usebox="none">
8725 \begin_layout Plain Layout
8726 \begin_inset Formula $\xRightarrow[x=a]{x>0}$
8735 <row topspace="2mm">
8736 <cell alignment="center" valignment="top" usebox="none">
8739 \begin_layout Plain Layout
8747 <cell alignment="center" valignment="top" usebox="none">
8750 \begin_layout Plain Layout
8751 \begin_inset Formula $\xLeftrightarrow[x=a]{x>0}$
8760 <row topspace="2mm">
8761 <cell alignment="center" valignment="top" usebox="none">
8764 \begin_layout Plain Layout
8772 <cell alignment="center" valignment="top" usebox="none">
8775 \begin_layout Plain Layout
8776 \begin_inset Formula $\xhookleftarrow[x=a]{x>0}$
8785 <row topspace="2mm">
8786 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8789 \begin_layout Plain Layout
8797 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8800 \begin_layout Plain Layout
8801 \begin_inset Formula $\xhookrightarrow[x=a]{x>0}$
8815 \begin_inset space \hspace*{\fill}
8819 \begin_inset Tabular
8820 <lyxtabular version="3" rows="7" columns="2">
8821 <features booktabs="true" tabularvalignment="middle">
8822 <column alignment="center" valignment="top" width="0pt">
8823 <column alignment="center" valignment="top" width="0pt">
8825 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8828 \begin_layout Plain Layout
8834 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
8837 \begin_layout Plain Layout
8845 <cell alignment="center" valignment="top" usebox="none">
8848 \begin_layout Plain Layout
8856 <cell alignment="center" valignment="top" usebox="none">
8859 \begin_layout Plain Layout
8860 \begin_inset Formula $\xleftharpoondown[x=a]{x>0}$
8869 <row topspace="2mm">
8870 <cell alignment="center" valignment="top" usebox="none">
8873 \begin_layout Plain Layout
8881 <cell alignment="center" valignment="top" usebox="none">
8884 \begin_layout Plain Layout
8885 \begin_inset Formula $\xleftharpoonup[x=a]{x>0}$
8894 <row topspace="2mm">
8895 <cell alignment="center" valignment="top" usebox="none">
8898 \begin_layout Plain Layout
8906 <cell alignment="center" valignment="top" usebox="none">
8909 \begin_layout Plain Layout
8910 \begin_inset Formula $\xrightharpoondown[x=a]{x>0}$
8919 <row topspace="2mm">
8920 <cell alignment="center" valignment="top" usebox="none">
8923 \begin_layout Plain Layout
8931 <cell alignment="center" valignment="top" usebox="none">
8934 \begin_layout Plain Layout
8935 \begin_inset Formula $\xrightharpoonup[x=a]{x>0}$
8944 <row topspace="2mm">
8945 <cell alignment="center" valignment="top" usebox="none">
8948 \begin_layout Plain Layout
8956 <cell alignment="center" valignment="top" usebox="none">
8959 \begin_layout Plain Layout
8960 \begin_inset Formula $\xleftrightharpoons[x=a]{x>0}$
8969 <row topspace="2mm">
8970 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8973 \begin_layout Plain Layout
8981 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
8984 \begin_layout Plain Layout
8985 \begin_inset Formula $\xrightleftharpoons[x=a]{x>0}$
8999 \begin_inset space \hspace*{\fill}
9005 \begin_layout Standard
9006 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.
9009 \begin_layout Standard
9011 \begin_inset Tabular
9012 <lyxtabular version="3" rows="2" columns="2">
9013 <features booktabs="true" tabularvalignment="middle">
9014 <column alignment="center" valignment="top" width="0pt">
9015 <column alignment="center" valignment="top" width="0pt">
9017 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9020 \begin_layout Plain Layout
9026 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9029 \begin_layout Plain Layout
9036 <row bottomspace="0.5mm">
9037 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9040 \begin_layout Plain Layout
9043 xleftrightarrow[x=a]
9046 \begin_inset Formula $\to$
9054 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9057 \begin_layout Plain Layout
9058 \begin_inset Formula $F(a)\xleftrightarrow[x=a]{x>0}F(x)$
9074 \begin_layout Subsection
9076 \begin_inset Index idx
9081 \begin_layout Plain Layout
9088 \begin_inset Index idx
9093 \begin_layout Plain Layout
9102 \begin_layout Standard
9103 \begin_inset space \hfill{}
9107 \begin_inset Tabular
9108 <lyxtabular version="3" rows="7" columns="2">
9109 <features booktabs="true" tabularvalignment="middle">
9110 <column alignment="center" valignment="top" width="0pt">
9111 <column alignment="center" valignment="top" width="0pt">
9113 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9116 \begin_layout Plain Layout
9122 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9125 \begin_layout Plain Layout
9133 <cell alignment="center" valignment="top" usebox="none">
9136 \begin_layout Plain Layout
9144 <cell alignment="center" valignment="top" usebox="none">
9147 \begin_layout Plain Layout
9148 \begin_inset Formula $\uparrow$
9158 <cell alignment="center" valignment="top" usebox="none">
9161 \begin_layout Plain Layout
9169 <cell alignment="center" valignment="top" usebox="none">
9172 \begin_layout Plain Layout
9173 \begin_inset Formula $\Uparrow$
9183 <cell alignment="center" valignment="top" usebox="none">
9186 \begin_layout Plain Layout
9194 <cell alignment="center" valignment="top" usebox="none">
9197 \begin_layout Plain Layout
9198 \begin_inset Formula $\updownarrow$
9208 <cell alignment="center" valignment="top" usebox="none">
9211 \begin_layout Plain Layout
9219 <cell alignment="center" valignment="top" usebox="none">
9222 \begin_layout Plain Layout
9223 \begin_inset Formula $\Updownarrow$
9233 <cell alignment="center" valignment="top" usebox="none">
9236 \begin_layout Plain Layout
9244 <cell alignment="center" valignment="top" usebox="none">
9247 \begin_layout Plain Layout
9248 \begin_inset Formula $\Downarrow$
9258 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9261 \begin_layout Plain Layout
9269 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9272 \begin_layout Plain Layout
9273 \begin_inset Formula $\downarrow$
9287 \begin_inset space \hfill{}
9291 \begin_inset Tabular
9292 <lyxtabular version="3" rows="5" columns="2">
9293 <features booktabs="true" tabularvalignment="middle">
9294 <column alignment="center" valignment="top" width="0pt">
9295 <column alignment="center" valignment="top" width="0pt">
9297 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9300 \begin_layout Plain Layout
9306 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9309 \begin_layout Plain Layout
9317 <cell alignment="center" valignment="top" usebox="none">
9320 \begin_layout Plain Layout
9328 <cell alignment="center" valignment="top" usebox="none">
9331 \begin_layout Plain Layout
9332 \begin_inset Formula $\nearrow$
9342 <cell alignment="center" valignment="top" usebox="none">
9345 \begin_layout Plain Layout
9353 <cell alignment="center" valignment="top" usebox="none">
9356 \begin_layout Plain Layout
9357 \begin_inset Formula $\searrow$
9367 <cell alignment="center" valignment="top" usebox="none">
9370 \begin_layout Plain Layout
9378 <cell alignment="center" valignment="top" usebox="none">
9381 \begin_layout Plain Layout
9382 \begin_inset Formula $\swarrow$
9392 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9395 \begin_layout Plain Layout
9403 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9406 \begin_layout Plain Layout
9407 \begin_inset Formula $\nwarrow$
9421 \begin_inset space \hfill{}
9427 \begin_layout Standard
9428 \begin_inset VSpace medskip
9432 \begin_inset CommandInset ref
9434 reference "subsec:手動の括弧丈"
9439 \begin_inset CommandInset ref
9441 reference "subsec:自動の括弧丈"
9445 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.
9448 \begin_layout Section
9450 \begin_inset CommandInset label
9457 \begin_inset Index idx
9462 \begin_layout Plain Layout
9471 \begin_layout Standard
9475 arg "math-insert \\hat"
9478 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.
9481 \begin_layout Subsection
9486 \begin_layout Plain Layout
9499 \begin_layout Plain Layout
9501 \begin_inset CommandInset ref
9503 reference "subsec:文章中のアクセント"
9516 \begin_layout Plain Layout
9524 \begin_inset Note Note
9527 \begin_layout Plain Layout
9534 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.
9537 \begin_layout Plain Layout
9545 \begin_inset CommandInset ref
9547 reference "subsec:節見出し中の数式"
9557 \begin_inset CommandInset label
9559 name "subsec:一文字に付けるアクセント"
9564 \begin_inset Index idx
9569 \begin_layout Plain Layout
9570 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
9578 \begin_layout Standard
9579 \begin_inset space \hfill{}
9583 \begin_inset Tabular
9584 <lyxtabular version="3" rows="8" columns="2">
9585 <features booktabs="true" tabularvalignment="middle">
9586 <column alignment="center" valignment="top" width="0pt">
9587 <column alignment="center" valignment="top" width="0pt">
9589 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9592 \begin_layout Plain Layout
9598 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9601 \begin_layout Plain Layout
9608 <row topspace="1.5mm">
9609 <cell alignment="center" valignment="top" usebox="none">
9612 \begin_layout Plain Layout
9616 \begin_inset space \textvisiblespace{}
9624 <cell alignment="center" valignment="top" usebox="none">
9627 \begin_layout Plain Layout
9628 \begin_inset Formula $\dot{A}$
9637 <row topspace="1.5mm">
9638 <cell alignment="center" valignment="top" usebox="none">
9641 \begin_layout Plain Layout
9645 \begin_inset space \textvisiblespace{}
9653 <cell alignment="center" valignment="top" usebox="none">
9656 \begin_layout Plain Layout
9657 \begin_inset Formula $\ddot{A}$
9666 <row topspace="1.5mm">
9667 <cell alignment="center" valignment="top" usebox="none">
9670 \begin_layout Plain Layout
9674 \begin_inset space \textvisiblespace{}
9682 <cell alignment="center" valignment="top" usebox="none">
9685 \begin_layout Plain Layout
9686 \begin_inset Formula $\dddot{A}$
9695 <row topspace="1.5mm">
9696 <cell alignment="center" valignment="top" usebox="none">
9699 \begin_layout Plain Layout
9703 \begin_inset space \textvisiblespace{}
9711 <cell alignment="center" valignment="top" usebox="none">
9714 \begin_layout Plain Layout
9715 \begin_inset Formula $\ddddot{A}$
9724 <row topspace="1.5mm">
9725 <cell alignment="center" valignment="top" usebox="none">
9728 \begin_layout Plain Layout
9732 \begin_inset space \textvisiblespace{}
9736 \begin_inset Index idx
9741 \begin_layout Plain Layout
9752 <cell alignment="center" valignment="top" usebox="none">
9755 \begin_layout Plain Layout
9756 \begin_inset Formula $\vec{A}$
9765 <row topspace="1.5mm">
9766 <cell alignment="center" valignment="top" usebox="none">
9769 \begin_layout Plain Layout
9773 \begin_inset space \textvisiblespace{}
9781 <cell alignment="center" valignment="top" usebox="none">
9784 \begin_layout Plain Layout
9785 \begin_inset Formula $\bar{A}$
9794 <row topspace="1.5mm">
9795 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9798 \begin_layout Plain Layout
9802 \begin_inset space \textvisiblespace{}
9810 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
9813 \begin_layout Plain Layout
9814 \begin_inset Formula $\mathring{A}$
9828 \begin_inset space \hfill{}
9832 \begin_inset Tabular
9833 <lyxtabular version="3" rows="7" columns="2">
9834 <features booktabs="true" tabularvalignment="middle">
9835 <column alignment="center" valignment="top" width="0pt">
9836 <column alignment="center" valignment="top" width="0pt">
9838 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9841 \begin_layout Plain Layout
9847 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
9850 \begin_layout Plain Layout
9857 <row topspace="1.5mm">
9858 <cell alignment="center" valignment="top" usebox="none">
9861 \begin_layout Plain Layout
9865 \begin_inset space \textvisiblespace{}
9873 <cell alignment="center" valignment="top" usebox="none">
9876 \begin_layout Plain Layout
9877 \begin_inset Formula $\tilde{A}$
9886 <row topspace="1.5mm">
9887 <cell alignment="center" valignment="top" usebox="none">
9890 \begin_layout Plain Layout
9894 \begin_inset space \textvisiblespace{}
9902 <cell alignment="center" valignment="top" usebox="none">
9905 \begin_layout Plain Layout
9906 \begin_inset Formula $\hat{A}$
9915 <row topspace="1.5mm">
9916 <cell alignment="center" valignment="top" usebox="none">
9919 \begin_layout Plain Layout
9923 \begin_inset space \textvisiblespace{}
9931 <cell alignment="center" valignment="top" usebox="none">
9934 \begin_layout Plain Layout
9935 \begin_inset Formula $\check{A}$
9944 <row topspace="1.5mm">
9945 <cell alignment="center" valignment="top" usebox="none">
9948 \begin_layout Plain Layout
9952 \begin_inset space \textvisiblespace{}
9960 <cell alignment="center" valignment="top" usebox="none">
9963 \begin_layout Plain Layout
9964 \begin_inset Formula $\acute{A}$
9973 <row topspace="1.5mm">
9974 <cell alignment="center" valignment="top" usebox="none">
9977 \begin_layout Plain Layout
9981 \begin_inset space \textvisiblespace{}
9989 <cell alignment="center" valignment="top" usebox="none">
9992 \begin_layout Plain Layout
9993 \begin_inset Formula $\grave{A}$
10002 <row topspace="1.5mm">
10003 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
10006 \begin_layout Plain Layout
10010 \begin_inset space \textvisiblespace{}
10018 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
10021 \begin_layout Plain Layout
10022 \begin_inset Formula $\breve{A}$
10036 \begin_inset space \hfill{}
10042 \begin_layout Standard
10043 \begin_inset VSpace bigskip
10049 \begin_layout Standard
10053 \begin_layout Plain Layout
10062 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
10063 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
10064 \begin_inset Index idx
10069 \begin_layout Plain Layout
10075 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
10076 は,引用符と母音をまとめて一つの文字として取り
10083 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.
10086 \begin_layout Standard
10087 \begin_inset VSpace -2mm
10093 \begin_layout Standard
10095 \begin_inset Tabular
10096 <lyxtabular version="3" rows="3" columns="2">
10097 <features booktabs="true" tabularvalignment="middle">
10098 <column alignment="center" valignment="top" width="0pt">
10099 <column alignment="center" valignment="top">
10101 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
10104 \begin_layout Plain Layout
10110 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
10113 \begin_layout Plain Layout
10121 <cell alignment="center" valignment="top" usebox="none">
10124 \begin_layout Plain Layout
10125 \begin_inset Quotes grd
10133 <cell alignment="center" valignment="top" usebox="none">
10136 \begin_layout Plain Layout
10139 \begin_inset space \hspace{}
10144 \begin_inset Formula $"i$
10153 <row topspace="1.5mm">
10154 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
10157 \begin_layout Plain Layout
10161 \begin_inset space \textvisiblespace{}
10169 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
10172 \begin_layout Plain Layout
10173 \begin_inset Formula $\ddot{i}$
10189 \begin_layout Standard
10196 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
10200 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
10201 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.
10204 \begin_layout Standard
10205 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.
10208 \begin_layout Standard
10209 \begin_inset VSpace bigskip
10215 \begin_layout Standard
10217 は,\SpecialChar LaTeX
10223 \begin_inset Index idx
10228 \begin_layout Plain Layout
10229 ぱっけーじ@パッケージ ! upgreek
10234 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.
10237 \begin_layout Standard
10241 \begin_layout Plain Layout
10251 \begin_inset Note Note
10254 \begin_layout Plain Layout
10260 パッケージが導入済みのときのみ表示されます.
10268 \begin_layout Standard
10271 \begin_inset Tabular
10272 <lyxtabular version="3" rows="2" columns="2">
10273 <features booktabs="true" tabularvalignment="middle">
10274 <column alignment="center" valignment="top" width="0pt">
10275 <column alignment="center" valignment="top" width="0pt">
10277 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10280 \begin_layout Plain Layout
10286 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
10289 \begin_layout Plain Layout
10297 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
10300 \begin_layout Plain Layout
10304 \begin_inset space \textvisiblespace{}
10312 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
10315 \begin_layout Plain Layout
10316 \begin_inset Formula $\utilde{A}$
10332 \begin_layout Standard
10336 \begin_layout Plain Layout
10346 \begin_inset Note Note
10349 \begin_layout Plain Layout
10355 パッケージが導入されていないときのみ表示されます.
10363 \begin_layout Standard
10372 \begin_layout Standard
10376 \begin_layout Plain Layout
10388 \begin_layout Standard
10389 \begin_inset Newpage newpage
10395 \begin_layout Subsection
10397 \begin_inset Index idx
10402 \begin_layout Plain Layout
10403 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
10411 \begin_layout Standard
10412 \begin_inset space \hfill{}
10416 \begin_inset Tabular
10417 <lyxtabular version="3" rows="5" columns="2">
10418 <features booktabs="true" tabularvalignment="middle">
10419 <column alignment="center" valignment="top" width="0pt">
10420 <column alignment="center" valignment="top" width="0pt">
10422 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10425 \begin_layout Plain Layout
10431 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
10434 \begin_layout Plain Layout
10441 <row topspace="1.5mm">
10442 <cell alignment="center" valignment="top" usebox="none">
10445 \begin_layout Plain Layout
10449 \begin_inset space \textvisiblespace{}
10457 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10460 \begin_layout Plain Layout
10461 \begin_inset Formula $\overleftarrow{A=B}$
10470 <row topspace="1.5mm">
10471 <cell alignment="center" valignment="top" usebox="none">
10474 \begin_layout Plain Layout
10478 \begin_inset space \textvisiblespace{}
10486 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10489 \begin_layout Plain Layout
10490 \begin_inset Formula $\underleftarrow{A=B}$
10499 <row topspace="1.5mm">
10500 <cell alignment="center" valignment="top" usebox="none">
10503 \begin_layout Plain Layout
10507 \begin_inset space \textvisiblespace{}
10515 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10518 \begin_layout Plain Layout
10519 \begin_inset Formula $\overleftrightarrow{A=B}$
10528 <row topspace="1.5mm" bottomspace="1mm">
10529 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
10532 \begin_layout Plain Layout
10535 underleftrightarrow
10536 \begin_inset space \textvisiblespace{}
10544 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
10547 \begin_layout Plain Layout
10548 \begin_inset Formula $\underleftrightarrow{A=B}$
10562 \begin_inset space \hfill{}
10566 \begin_inset Tabular
10567 <lyxtabular version="3" rows="5" columns="2">
10568 <features booktabs="true" tabularvalignment="middle">
10569 <column alignment="center" valignment="top" width="0pt">
10570 <column alignment="center" valignment="top" width="0pt">
10572 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10575 \begin_layout Plain Layout
10581 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
10584 \begin_layout Plain Layout
10591 <row topspace="1.5mm">
10592 <cell alignment="center" valignment="top" usebox="none">
10595 \begin_layout Plain Layout
10599 \begin_inset space \textvisiblespace{}
10607 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10610 \begin_layout Plain Layout
10611 \begin_inset Formula $\overrightarrow{A=B}$
10620 <row topspace="1.5mm">
10621 <cell alignment="center" valignment="top" usebox="none">
10624 \begin_layout Plain Layout
10628 \begin_inset space \textvisiblespace{}
10636 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10639 \begin_layout Plain Layout
10640 \begin_inset Formula $\underrightarrow{A=B}$
10649 <row topspace="1.5mm">
10650 <cell alignment="center" valignment="top" usebox="none">
10653 \begin_layout Plain Layout
10657 \begin_inset space \textvisiblespace{}
10665 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10668 \begin_layout Plain Layout
10669 \begin_inset Formula $\widetilde{A=B}$
10678 <row topspace="1.5mm" bottomspace="1mm">
10679 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
10682 \begin_layout Plain Layout
10686 \begin_inset space \textvisiblespace{}
10694 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
10697 \begin_layout Plain Layout
10698 \begin_inset Formula $\widehat{A=B}$
10712 \begin_inset space \hfill{}
10718 \begin_layout Standard
10719 \begin_inset VSpace medskip
10722 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,
10734 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.
10735 \begin_inset Formula
10737 \widetilde{A+B=C-D}
10745 \begin_layout Standard
10753 \begin_inset Index idx
10758 \begin_layout Plain Layout
10773 \begin_inset Index idx
10778 \begin_layout Plain Layout
10786 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.
10791 \begin_inset space \textvisiblespace{}
10795 \begin_inset Formula $\downarrow$
10801 \begin_inset Formula
10803 \underset{***}{A=B}
10811 \begin_layout Section
10813 \begin_inset CommandInset label
10820 \begin_inset Index idx
10825 \begin_layout Plain Layout
10827 \begin_inset space \thinspace{}
10838 \begin_layout Subsection
10840 \begin_inset CommandInset label
10842 name "subsec:定義済みの空白"
10847 \begin_inset Index idx
10852 \begin_layout Plain Layout
10854 \begin_inset space \thinspace{}
10865 \begin_layout Standard
10866 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(
10867 \begin_inset Flex Ruby
10870 \begin_layout Plain Layout
10872 \begin_inset Argument post:1
10875 \begin_layout Plain Layout
10889 arg "command-alternatives space-insert protected ; math-space"
10895 \begin_inset space \textvisiblespace{}
10904 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
10907 arg "math-insert \\space"
10910 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
10914 を押すことによって,長さを変更することができます.
10917 \begin_layout Standard
10920 \begin_inset Tabular
10921 <lyxtabular version="3" rows="6" columns="3">
10922 <features booktabs="true" tabularvalignment="middle">
10923 <column alignment="center" valignment="top">
10924 <column alignment="center" valignment="top" width="15col%">
10925 <column alignment="center" valignment="top">
10927 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10930 \begin_layout Plain Layout
10936 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
10939 \begin_layout Plain Layout
10949 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
10952 \begin_layout Plain Layout
10960 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10963 \begin_layout Plain Layout
10971 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10974 \begin_layout Plain Layout
10980 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
10983 \begin_layout Plain Layout
10984 \begin_inset Formula $A\,B$
10994 <cell alignment="center" valignment="top" leftline="true" usebox="none">
10997 \begin_layout Plain Layout
11005 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11008 \begin_layout Plain Layout
11014 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11017 \begin_layout Plain Layout
11018 \begin_inset Formula $A\:B$
11028 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11031 \begin_layout Plain Layout
11039 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11042 \begin_layout Plain Layout
11048 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11051 \begin_layout Plain Layout
11052 \begin_inset Formula $A\;B$
11062 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11065 \begin_layout Plain Layout
11073 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11076 \begin_layout Plain Layout
11082 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11085 \begin_layout Plain Layout
11086 \begin_inset Formula $A\quad B$
11096 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11099 \begin_layout Plain Layout
11107 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11110 \begin_layout Plain Layout
11116 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
11119 \begin_layout Plain Layout
11120 \begin_inset Formula $A\qquad B$
11134 \begin_inset space \hfill{}
11138 \begin_inset Tabular
11139 <lyxtabular version="3" rows="6" columns="3">
11140 <features booktabs="true" tabularvalignment="middle">
11141 <column alignment="center" valignment="top">
11142 <column alignment="center" valignment="top" width="15col%">
11143 <column alignment="center" valignment="top">
11145 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11148 \begin_layout Plain Layout
11154 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11157 \begin_layout Plain Layout
11167 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
11170 \begin_layout Plain Layout
11178 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11181 \begin_layout Plain Layout
11189 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11192 \begin_layout Plain Layout
11198 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11201 \begin_layout Plain Layout
11202 \begin_inset Formula $A\hfill B$
11212 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11215 \begin_layout Plain Layout
11223 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11226 \begin_layout Plain Layout
11232 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11235 \begin_layout Plain Layout
11236 \begin_inset Formula $A\hspace*{1em}B$
11246 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11249 \begin_layout Plain Layout
11257 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11260 \begin_layout Plain Layout
11266 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11269 \begin_layout Plain Layout
11270 \begin_inset Formula $A\hspace{1em}B$
11280 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11283 \begin_layout Plain Layout
11287 \begin_inset space \textvisiblespace{}
11295 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11298 \begin_layout Plain Layout
11304 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11307 \begin_layout Plain Layout
11308 \begin_inset Formula $A\ B$
11318 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11321 \begin_layout Plain Layout
11329 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11332 \begin_layout Plain Layout
11338 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
11341 \begin_layout Plain Layout
11342 \begin_inset Formula $A\!B$
11358 \begin_layout Standard
11362 \begin_inset space \thinspace{}
11370 \begin_inset space \thinspace{}
11380 \begin_inset CommandInset ref
11382 reference "subsec:可変長の空白"
11386 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
11388 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.
11391 \begin_layout Standard
11393 \begin_inset Tabular
11394 <lyxtabular version="3" rows="3" columns="3">
11395 <features booktabs="true" tabularvalignment="middle">
11396 <column alignment="center" valignment="middle" width="6.8cm">
11397 <column alignment="center" valignment="top" width="0pt">
11398 <column alignment="center" valignment="top" width="0pt">
11400 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11403 \begin_layout Plain Layout
11409 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11412 \begin_layout Plain Layout
11420 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
11423 \begin_layout Plain Layout
11433 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11436 \begin_layout Plain Layout
11446 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11449 \begin_layout Plain Layout
11455 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
11458 \begin_layout Plain Layout
11466 <cell multicolumn="1" alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11469 \begin_layout Plain Layout
11475 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11478 \begin_layout Plain Layout
11479 \begin_inset Formula $A\negmedspace B$
11487 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
11490 \begin_layout Plain Layout
11491 \begin_inset Formula $A\negthickspace B$
11507 \begin_layout Standard
11508 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.
11511 \begin_layout Standard
11513 \begin_inset Tabular
11514 <lyxtabular version="3" rows="3" columns="2">
11515 <features booktabs="true" tabularvalignment="middle">
11516 <column alignment="center" valignment="top" width="0pt">
11517 <column alignment="center" valignment="top">
11519 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11522 \begin_layout Plain Layout
11528 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
11531 \begin_layout Plain Layout
11539 <cell alignment="center" valignment="top" leftline="true" usebox="none">
11542 \begin_layout Plain Layout
11548 \begin_inset space \textvisiblespace{}
11556 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
11559 \begin_layout Plain Layout
11560 \begin_inset Formula $\sum\sum f_{kl}$
11570 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
11573 \begin_layout Plain Layout
11581 \begin_inset space \textvisiblespace{}
11589 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
11592 \begin_layout Plain Layout
11593 \begin_inset Formula $\sum\negmedspace\sum f_{kl}$
11609 \begin_layout Standard
11611 \begin_inset VSpace medskip
11617 \begin_layout Standard
11619 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
11620 括弧で囲みます.以下の例にこれを示します.
11623 \begin_layout Standard
11625 \begin_inset Tabular
11626 <lyxtabular version="3" rows="2" columns="2">
11627 <features booktabs="true" tabularvalignment="middle">
11628 <column alignment="center" valignment="top" width="0pt">
11629 <column alignment="center" valignment="top" width="0pt">
11631 <cell alignment="center" valignment="top" usebox="none">
11634 \begin_layout Plain Layout
11640 <cell alignment="center" valignment="top" usebox="none">
11643 \begin_layout Plain Layout
11644 \begin_inset Formula $A=B$
11654 <cell alignment="center" valignment="top" usebox="none">
11657 \begin_layout Plain Layout
11663 <cell multicolumn="1" alignment="center" valignment="top" usebox="none">
11666 \begin_layout Plain Layout
11667 \begin_inset Formula $A{=}B$
11683 \begin_layout Standard
11690 \begin_inset Formula $\to$
11698 \begin_layout Standard
11699 \begin_inset VSpace bigskip
11702 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
11703 整形\SpecialChar menuseparator
11705 \begin_inset Flex Ruby
11708 \begin_layout Plain Layout
11710 \begin_inset Argument post:1
11713 \begin_layout Plain Layout
11727 arg "space-insert thin"
11730 )で,最小の空白を挿入することができます.
11733 \begin_layout Standard
11737 \begin_layout Standard
11738 \begin_inset Tabular
11739 <lyxtabular version="3" rows="2" columns="2">
11740 <features tabularvalignment="middle">
11741 <column alignment="left" valignment="top">
11742 <column alignment="left" valignment="top">
11744 <cell alignment="center" valignment="top" usebox="none">
11747 \begin_layout Plain Layout
11749 \begin_inset Formula $\cdot$
11757 <cell alignment="center" valignment="top" usebox="none">
11760 \begin_layout Plain Layout
11761 値と単位のあいだに通常の空白を入れた例
11768 <cell alignment="center" valignment="top" usebox="none">
11771 \begin_layout Plain Layout
11773 \begin_inset space \thinspace{}
11777 \begin_inset Formula $\cdot$
11785 <cell alignment="center" valignment="top" usebox="none">
11788 \begin_layout Plain Layout
11789 値と単位のあいだに最小の空白を入れた例
11802 \begin_layout Subsection
11807 \begin_layout Plain Layout
11820 \begin_layout Plain Layout
11822 \begin_inset CommandInset ref
11824 reference "subsec:行間"
11837 \begin_layout Plain Layout
11845 \begin_inset Note Note
11848 \begin_layout Plain Layout
11851 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.
11854 \begin_layout Plain Layout
11857 texorpdfstringについての詳細は,第
11858 \begin_inset CommandInset ref
11860 reference "subsec:節見出し中の数式"
11870 \begin_inset CommandInset label
11872 name "subsec:可変長の空白"
11877 \begin_inset Index idx
11882 \begin_layout Plain Layout
11884 \begin_inset space \thinspace{}
11895 \begin_layout Standard
11903 \begin_inset Index idx
11908 \begin_layout Plain Layout
11916 コマンドで入力することができます.すると,ながい「
11919 \begin_inset space \textvisiblespace{}
11927 \begin_inset space \textvisiblespace{}
11932 」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
11949 \begin_inset space \textvisiblespace{}
11960 \begin_inset Newline newline
11963 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,
11970 \begin_inset Index idx
11975 \begin_layout Plain Layout
11986 \begin_layout Standard
11988 \begin_inset Tabular
11989 <lyxtabular version="3" rows="4" columns="2">
11990 <features booktabs="true" tabularvalignment="middle">
11991 <column alignment="center" valignment="top" width="0pt">
11992 <column alignment="center" valignment="top">
11994 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
11997 \begin_layout Plain Layout
12005 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
12008 \begin_layout Plain Layout
12016 <cell alignment="center" valignment="top" leftline="true" usebox="none">
12019 \begin_layout Plain Layout
12023 \begin_inset space \textvisiblespace{}
12029 \begin_inset space \thinspace{}
12037 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12040 \begin_layout Plain Layout
12041 \begin_inset Formula $A=B\hspace{3cm}A\not=C$
12051 <cell alignment="center" valignment="top" leftline="true" usebox="none">
12054 \begin_layout Plain Layout
12058 \begin_inset space \textvisiblespace{}
12064 \begin_inset space \thinspace{}
12072 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12075 \begin_layout Plain Layout
12076 \begin_inset Formula $A\hspace{-1mm}A\not=A$
12086 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
12089 \begin_layout Plain Layout
12093 \begin_inset space \textvisiblespace{}
12101 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
12104 \begin_layout Plain Layout
12105 \begin_inset Formula $A=A\hfill B=B$
12121 \begin_layout Standard
12122 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,
12128 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
12138 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
12139 \begin_inset CommandInset ref
12141 reference "sec:数式様式"
12148 \begin_layout Standard
12167 といったコマンドがあります.用例については第
12168 \begin_inset CommandInset ref
12170 reference "subsec:省略符号"
12177 \begin_layout Standard
12180 挿入\SpecialChar menuseparator
12181 整形\SpecialChar menuseparator
12187 \begin_layout Standard
12191 \begin_layout Standard
12193 \begin_inset space \hspace{}
12198 \begin_inset space \thinspace{}
12204 \begin_layout Standard
12206 \begin_inset space \hfill{}
12212 \begin_layout Subsection
12214 \begin_inset Index idx
12219 \begin_layout Plain Layout
12220 くうはく@空白 ! ぎょうないすうしきまわり@行内数式周り
12228 \begin_layout Standard
12234 \begin_inset Index idx
12239 \begin_layout Plain Layout
12249 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
12254 \begin_inset Index idx
12259 \begin_layout Plain Layout
12269 コマンドを使って設定することができます.
12272 \begin_layout Standard
12280 \begin_layout Standard
12288 \begin_inset space \thinspace{}
12291 mmの値に設定するには,以下のコマンド
12294 \begin_layout Standard
12304 \begin_layout Standard
12307 \begin_inset space \thinspace{}
12310 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.
12314 \begin_layout Plain Layout
12328 \begin_layout Standard
12330 \begin_inset space \thinspace{}
12334 \begin_inset Formula $A=B$
12341 \begin_layout Plain Layout
12355 \begin_layout Standard
12363 \begin_inset space \thinspace{}
12369 \begin_layout Section
12371 \begin_inset Index idx
12376 \begin_layout Plain Layout
12383 \begin_inset Index idx
12388 \begin_layout Plain Layout
12393 \begin_layout Plain Layout
12404 \begin_layout Plain Layout
12419 \begin_layout Standard
12420 本文中のボックスについては,取扱説明書
12431 \begin_layout Subsection
12433 \begin_inset CommandInset label
12435 name "subsec:枠付きボックス"
12440 \begin_inset Index idx
12445 \begin_layout Plain Layout
12446 ぼっくす@ボックス ! わくつき@枠付き
12447 \begin_inset space \thinspace{}
12458 \begin_layout Standard
12466 \begin_inset Index idx
12471 \begin_layout Plain Layout
12486 \begin_inset Index idx
12491 \begin_layout Plain Layout
12499 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.
12502 \begin_layout Standard
12503 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.
12509 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,
12513 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.
12519 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.
12522 \begin_layout Standard
12529 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
12535 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.
12538 \begin_layout Standard
12545 の拡張として,枠幅と配置も指定することができる
12552 \begin_inset Index idx
12557 \begin_layout Plain Layout
12574 \begin_layout Standard
12579 framebox[枠幅][位置]{ボックスの内容}
12582 \begin_layout Standard
12599 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.
12600 \begin_inset Newline newline
12603 「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,
12609 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.
12612 \begin_layout Standard
12619 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,
12625 同様,数式の断片を入れるためのものです.
12628 \begin_layout Standard
12630 \begin_inset Tabular
12631 <lyxtabular version="3" rows="5" columns="2">
12632 <features booktabs="true" tabularvalignment="middle">
12633 <column alignment="center" valignment="top" width="0pt">
12634 <column alignment="center" valignment="top">
12636 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
12639 \begin_layout Plain Layout
12645 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
12648 \begin_layout Plain Layout
12655 <row topspace="1.5mm">
12656 <cell alignment="center" valignment="top" usebox="none">
12659 \begin_layout Plain Layout
12663 \begin_inset space \textvisiblespace{}
12673 \begin_inset space \textvisiblespace{}
12681 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12684 \begin_layout Plain Layout
12685 \begin_inset Formula $\fbox{\ensuremath{\int A=B}}$
12694 <row topspace="1.5mm">
12695 <cell alignment="center" valignment="top" usebox="none">
12698 \begin_layout Plain Layout
12702 \begin_inset space \textvisiblespace{}
12708 \begin_inset space \textvisiblespace{}
12716 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12719 \begin_layout Plain Layout
12720 \begin_inset Formula $\boxed{\int A=B}$
12729 <row topspace="1.5mm">
12730 <cell alignment="center" valignment="top" usebox="none">
12733 \begin_layout Plain Layout
12737 \begin_inset space \textvisiblespace{}
12745 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
12748 \begin_layout Plain Layout
12749 \begin_inset Formula $A+\fbox{B}$
12758 <row topspace="1.5mm" bottomspace="1mm">
12759 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
12762 \begin_layout Plain Layout
12766 \begin_inset space \textvisiblespace{}
12770 \begin_inset Formula $\to$
12774 \begin_inset Formula $\to$
12784 \begin_inset space \textvisiblespace{}
12788 \begin_inset Formula $\downarrow$
12796 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
12799 \begin_layout Plain Layout
12800 \begin_inset Formula $\framebox[20mm][]{\ensuremath{\frac{A}{B}}}$
12816 \begin_layout Standard
12817 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
12821 \begin_layout Standard
12831 \begin_inset Quotes eld
12835 \begin_inset Quotes erd
12849 \begin_inset Quotes eld
12853 \begin_inset Quotes erd
12859 \begin_layout Standard
12860 \begin_inset Quotes eld
12864 \begin_inset Quotes erd
12867 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.
12871 \begin_layout Plain Layout
12883 \begin_inset Formula
12893 \begin_layout Standard
12915 \begin_layout Standard
12916 というコマンドが,\SpecialChar TeX
12917 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.
12920 \begin_layout Standard
12924 \begin_layout Standard
12949 \begin_layout Plain Layout
12963 \begin_layout Standard
12964 というコマンドを,次の数式が始まる前に\SpecialChar TeX
12968 \begin_layout Subsection
12970 \begin_inset CommandInset label
12972 name "subsec:枠なしボックス"
12977 \begin_inset Index idx
12982 \begin_layout Plain Layout
12983 ぼっくす@ボックス ! わくなし@枠なし
12984 \begin_inset space \thinspace{}
12995 \begin_layout Standard
13003 \begin_inset Index idx
13008 \begin_layout Plain Layout
13023 \begin_inset Index idx
13028 \begin_layout Plain Layout
13043 \begin_inset Index idx
13048 \begin_layout Plain Layout
13059 \begin_layout Standard
13066 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.
13075 \begin_layout Standard
13080 raisebox{高さ}{ボックスの内容}
13083 \begin_layout Standard
13090 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.
13091 \begin_inset Note Greyedout
13094 \begin_layout Plain Layout
13109 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
13124 \begin_layout Standard
13126 \begin_inset Tabular
13127 <lyxtabular version="3" rows="4" columns="2">
13128 <features booktabs="true" tabularvalignment="middle">
13129 <column alignment="center" valignment="top" width="0pt">
13130 <column alignment="center" valignment="top">
13132 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
13135 \begin_layout Plain Layout
13141 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
13144 \begin_layout Plain Layout
13152 <cell alignment="center" valignment="top" leftline="true" usebox="none">
13155 \begin_layout Plain Layout
13159 \begin_inset Formula $\to$
13165 \begin_inset Formula $\to$
13173 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
13176 \begin_layout Plain Layout
13177 \begin_inset Formula $H\raisebox{2mm}{al}lo$
13187 <cell alignment="center" valignment="top" leftline="true" usebox="none">
13190 \begin_layout Plain Layout
13194 \begin_inset Formula $\to$
13200 \begin_inset Formula $\to$
13208 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
13211 \begin_layout Plain Layout
13212 \begin_inset Formula $H\raisebox{-2mm}{al}lo$
13222 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
13225 \begin_layout Plain Layout
13229 \begin_inset Formula $\to$
13241 \begin_inset space \textvisiblespace{}
13249 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
13252 \begin_layout Plain Layout
13253 \begin_inset Formula $A=\raisebox{-2mm}{\mbox{\ensuremath{\sqrt{B}}}}$
13269 \begin_layout Standard
13297 \begin_layout Subsection
13299 \begin_inset CommandInset label
13301 name "subsec:色付きボックス"
13306 \begin_inset Index idx
13311 \begin_layout Plain Layout
13312 ぼっくす@ボックス ! いろつき@色付き
13313 \begin_inset space \thinspace{}
13324 \begin_layout Standard
13325 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
13329 \begin_layout Standard
13337 \begin_layout Standard
13342 \begin_layout Plain Layout
13343 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
13344 は,自動的に\SpecialChar LaTeX
13349 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.
13355 \begin_inset Note Note
13358 \begin_layout Plain Layout
13359 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
13360 プリアンブルにマクロを挿入してあります.
13365 を書き加えて,\SpecialChar LaTeX
13374 \begin_layout Plain Layout
13380 は,すべての標準的な\SpecialChar LaTeX
13387 \begin_inset Index idx
13392 \begin_layout Plain Layout
13393 ぱっけーじ@パッケージ ! color
13401 \begin_layout Standard
13402 \begin_inset VSpace medskip
13412 \begin_inset Index idx
13417 \begin_layout Plain Layout
13428 \begin_layout Standard
13433 colorbox{色}{ボックスの内容}
13436 \begin_layout Standard
13437 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,
13443 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,
13449 と同様,明示的に数式を作らなくてはなりません
13453 \begin_layout Plain Layout
13468 \begin_layout Standard
13472 \begin_layout Standard
13508 \begin_layout Standard
13512 \begin_layout Standard
13514 \begin_inset Tabular
13515 <lyxtabular version="3" rows="4" columns="2">
13516 <features booktabs="true" tabularvalignment="middle">
13517 <column alignment="center" valignment="top" width="0pt">
13518 <column alignment="center" valignment="top">
13520 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
13523 \begin_layout Plain Layout
13529 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
13532 \begin_layout Plain Layout
13540 <cell alignment="center" valignment="top" leftline="true" usebox="none">
13543 \begin_layout Plain Layout
13547 \begin_inset Formula $\to$
13557 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
13560 \begin_layout Plain Layout
13561 \begin_inset Formula $\colorbox{yellow}{A=B}$
13570 <row topspace="1.5mm">
13571 <cell alignment="center" valignment="top" usebox="none">
13574 \begin_layout Plain Layout
13578 \begin_inset Formula $\to$
13586 \begin_inset space \textvisiblespace{}
13594 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
13597 \begin_layout Plain Layout
13598 \begin_inset Formula $\colorbox{green}{\fbox{A=B}}$
13607 <row topspace="1.5mm" bottomspace="1mm">
13608 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
13611 \begin_layout Plain Layout
13615 \begin_inset space \textvisiblespace{}
13621 \begin_inset Formula $\to$
13637 \begin_inset space \textvisiblespace{}
13645 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
13648 \begin_layout Plain Layout
13649 \begin_inset Formula $\fbox{\colorbox{green}{\mbox{\ensuremath{\int C=D}}}}$
13665 \begin_layout Standard
13672 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,
13676 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
13679 arg "dialog-show character"
13684 編集\SpecialChar menuseparator
13685 文字様式\SpecialChar menuseparator
13688 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
13692 \begin_layout Standard
13696 \begin_layout Standard
13699 \begin_inset Formula
13701 \int A=B\label{eq:red}
13709 \begin_inset Formula
13711 \textcolor{red}{\int A=B}\label{eq:redgreen}
13719 \begin_layout Standard
13721 \begin_inset CommandInset ref
13728 \begin_inset Newline newline
13732 \begin_inset CommandInset ref
13734 reference "eq:redgreen"
13738 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.
13741 \begin_layout Standard
13742 \begin_inset VSpace bigskip
13752 \begin_inset Index idx
13757 \begin_layout Plain Layout
13768 \begin_layout Standard
13773 fcolorbox{枠の色}{色}{ボックスの内容}
13776 \begin_layout Standard
13811 \begin_layout Plain Layout
13823 \begin_inset Formula
13825 \fcolorbox{cyan}{magenta}{A=B}
13834 \begin_layout Plain Layout
13848 \begin_layout Standard
13849 上記の数式は,以下のコマンドで作成されています.
13850 \begin_inset Newline newline
13858 \begin_inset Formula $\to$
13864 \begin_inset Formula $\to$
13874 \begin_layout Standard
13875 \begin_inset VSpace bigskip
13878 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.
13881 \begin_layout Standard
13886 」という色を定義するには,\SpecialChar LaTeX
13890 \begin_layout Standard
13895 definecolor{darkgreen}{cmyk}{0.5,
13910 \begin_inset Index idx
13915 \begin_layout Plain Layout
13926 \begin_layout Standard
13930 \begin_layout Standard
13951 (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
13952 \begin_inset space \thinspace{}
13956 \begin_inset space \thinspace{}
13959 1の範囲をとることができます.定義には,
13983 (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
13990 \begin_layout Standard
13999 という色を持つ枠付きボックスを挙げておきます.
14000 \begin_inset Formula
14002 \colorbox{darkgreen}{\color{yellow}\boxed{\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}}
14010 \begin_layout Standard
14017 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.
14018 \begin_inset Index idx
14023 \begin_layout Plain Layout
14024 てきすと@テキスト ! いろつき@色付き
14032 \begin_layout Standard
14036 \begin_layout Plain Layout
14040 textcolor{darkgreen}{
14049 \begin_layout Plain Layout
14059 \begin_layout Standard
14067 \begin_inset Index idx
14072 \begin_layout Plain Layout
14084 textcolor{色}{色付けをする文}
14089 \begin_layout Subsection
14091 \begin_inset CommandInset label
14093 name "subsec:段落ボックス"
14098 \begin_inset Index idx
14103 \begin_layout Plain Layout
14104 ぼっくす@ボックス ! だんらく@段落
14105 \begin_inset space \thinspace{}
14116 \begin_layout Standard
14117 いくつかの行や段落を含む,いわゆる段落ボックス(parbox)は,
14119 挿入\SpecialChar menuseparator
14131 \begin_layout Standard
14132 以下の例は,行中の枠付きparboxを示したものです.
14135 \begin_layout Standard
14136 \begin_inset VSpace medskip
14140 \begin_inset Box Boxed
14150 height_special "totalheight"
14155 backgroundcolor "none"
14158 \begin_layout Plain Layout
14159 これは段落ボックスです.これはちょうど5
14160 \begin_inset space \thinspace{}
14163 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.
14164 \begin_inset Formula $\int A\,\mathrm{d}s=C$
14175 \begin_layout Standard
14176 \begin_inset VSpace medskip
14182 \begin_layout Standard
14183 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,
14196 \begin_inset space \thinspace{}
14206 \begin_layout Standard
14207 \begin_inset VSpace medskip
14211 では,parboxは,以下の書式を持つ
14218 \begin_inset Index idx
14223 \begin_layout Plain Layout
14234 \begin_layout Standard
14239 parbox[位置]{幅}{ボックスの内容}
14242 \begin_layout Standard
14251 の値をとることができます.下揃えを意味する
14255 (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
14259 (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
14266 \begin_layout Standard
14267 \begin_inset VSpace bigskip
14270 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
14286 \begin_inset Index idx
14291 \begin_layout Plain Layout
14301 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
14302 うためには,\SpecialChar LaTeX
14311 \begin_layout Plain Layout
14316 は,標準的\SpecialChar LaTeX
14323 \begin_inset Index idx
14328 \begin_layout Plain Layout
14334 を,\SpecialChar LaTeX
14338 \begin_layout Standard
14346 \begin_layout Standard
14347 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
14352 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.
14356 \begin_layout Plain Layout
14370 \begin_layout Standard
14374 \begin_layout Plain Layout
14392 \begin_inset Formula
14394 \int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}
14403 \begin_layout Plain Layout
14414 \begin_layout Plain Layout
14428 \begin_layout Standard
14429 \begin_inset VSpace medskip
14438 の引数としてparboxが使われているので,この場合には,
14453 \begin_layout Standard
14454 \begin_inset VSpace bigskip
14457 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,
14476 \begin_inset CommandInset ref
14478 reference "subsec:自己定義番号"
14485 \begin_layout Standard
14492 を使ってコメントを付けた数式の例です.
14495 \begin_layout Standard
14499 \begin_layout Plain Layout
14512 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.
14516 \begin_layout Plain Layout
14528 \begin_layout Standard
14536 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
14537 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.
14540 \begin_layout Standard
14553 というコマンドを\SpecialChar TeX
14558 \begin_layout Plain Layout
14577 を用いることもできます(数式様式に関しては,第
14578 \begin_inset CommandInset ref
14580 reference "sec:数式様式"
14589 .それから,説明を通常のテキストとして入れ,最後に
14608 コマンドは別行立て数式を作るためのものです.
14611 \begin_layout Standard
14618 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.
14619 \begin_inset Formula
14621 5x-7b=3b\textrm{これは説明です。数式本体から離れていません...}
14629 \begin_layout Section
14631 \begin_inset Index idx
14636 \begin_layout Plain Layout
14645 \begin_layout Subsection
14647 \begin_inset CommandInset label
14654 \begin_inset Index idx
14659 \begin_layout Plain Layout
14661 \begin_inset space \thinspace{}
14670 \begin_inset Index idx
14675 \begin_layout Plain Layout
14682 \begin_inset Index idx
14687 \begin_layout Plain Layout
14696 \begin_layout Standard
14697 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
14705 オプションを有効にしなくてはなりません.
14708 \begin_layout Standard
14709 \begin_inset space \hfill{}
14713 \begin_inset Tabular
14714 <lyxtabular version="3" rows="11" columns="2">
14715 <features booktabs="true" tabularvalignment="middle">
14716 <column alignment="center" valignment="top" width="0pt">
14717 <column alignment="center" valignment="top" width="0pt">
14719 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
14722 \begin_layout Plain Layout
14728 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
14731 \begin_layout Plain Layout
14739 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14742 \begin_layout Plain Layout
14746 \begin_inset Index idx
14751 \begin_layout Plain Layout
14764 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14767 \begin_layout Plain Layout
14768 \begin_inset Formula $\int$
14778 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14781 \begin_layout Plain Layout
14789 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14792 \begin_layout Plain Layout
14793 \begin_inset Formula $\oint$
14803 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14806 \begin_layout Plain Layout
14814 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14817 \begin_layout Plain Layout
14818 \begin_inset Formula $\ointctrclockwise$
14828 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14831 \begin_layout Plain Layout
14839 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14842 \begin_layout Plain Layout
14843 \begin_inset Formula $\ointclockwise$
14853 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14856 \begin_layout Plain Layout
14864 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14867 \begin_layout Plain Layout
14868 \begin_inset Formula $\sqint$
14878 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14881 \begin_layout Plain Layout
14889 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14892 \begin_layout Plain Layout
14894 \begin_inset Formula $\fint$
14904 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14907 \begin_layout Plain Layout
14915 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14918 \begin_layout Plain Layout
14920 \begin_inset Formula $\landupint$
14930 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14933 \begin_layout Plain Layout
14941 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14944 \begin_layout Plain Layout
14946 \begin_inset Formula $\landdownint$
14956 <cell alignment="center" valignment="top" leftline="true" usebox="none">
14959 \begin_layout Plain Layout
14967 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
14970 \begin_layout Plain Layout
14971 \begin_inset Formula $\bigcap$
14981 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
14984 \begin_layout Plain Layout
14992 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
14995 \begin_layout Plain Layout
14996 \begin_inset Formula $\bigcup$
15010 \begin_inset space \hfill{}
15014 \begin_inset Tabular
15015 <lyxtabular version="3" rows="11" columns="2">
15016 <features booktabs="true" tabularvalignment="middle">
15017 <column alignment="center" valignment="top" width="0pt">
15018 <column alignment="center" valignment="top" width="0pt">
15020 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
15023 \begin_layout Plain Layout
15029 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
15032 \begin_layout Plain Layout
15040 <cell alignment="center" valignment="top" leftline="true" usebox="none">
15043 \begin_layout Plain Layout
15047 \begin_inset Index idx
15052 \begin_layout Plain Layout
15065 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
15068 \begin_layout Plain Layout
15069 \begin_inset Formula $\sum$
15079 <cell alignment="center" valignment="top" leftline="true" usebox="none">
15082 \begin_layout Plain Layout
15086 \begin_inset Index idx
15091 \begin_layout Plain Layout
15104 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
15107 \begin_layout Plain Layout
15108 \begin_inset Formula $\prod$
15118 <cell alignment="center" valignment="top" leftline="true" usebox="none">
15121 \begin_layout Plain Layout
15129 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
15132 \begin_layout Plain Layout
15133 \begin_inset Formula $\coprod$
15143 <cell alignment="center" valignment="top" leftline="true" usebox="none">
15146 \begin_layout Plain Layout
15154 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
15157 \begin_layout Plain Layout
15158 \begin_inset Formula $\bigodot$
15168 <cell alignment="center" valignment="top" leftline="true" usebox="none">
15171 \begin_layout Plain Layout
15179 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
15182 \begin_layout Plain Layout
15183 \begin_inset Formula $\bigotimes$
15193 <cell alignment="center" valignment="top" leftline="true" usebox="none">
15196 \begin_layout Plain Layout
15204 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
15207 \begin_layout Plain Layout
15208 \begin_inset Formula $\bigoplus$
15218 <cell alignment="center" valignment="top" leftline="true" usebox="none">
15221 \begin_layout Plain Layout
15229 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
15232 \begin_layout Plain Layout
15233 \begin_inset Formula $\bigwedge$
15243 <cell alignment="center" valignment="top" leftline="true" usebox="none">
15246 \begin_layout Plain Layout
15254 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
15257 \begin_layout Plain Layout
15258 \begin_inset Formula $\bigvee$
15268 <cell alignment="center" valignment="top" leftline="true" usebox="none">
15271 \begin_layout Plain Layout
15279 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
15282 \begin_layout Plain Layout
15283 \begin_inset Formula $\bigsqcup$
15293 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
15296 \begin_layout Plain Layout
15304 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
15307 \begin_layout Plain Layout
15308 \begin_inset Formula $\biguplus$
15322 \begin_inset space \hfill{}
15328 \begin_layout Standard
15329 すべての大演算子は,数式ツールバーボタンの
15332 arg "math-insert \\intop"
15338 \begin_layout Standard
15339 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.
15342 \begin_layout Standard
15359 で終わる別バージョンがあります.これらの演算子は,
15365 とは範囲の表示のしかたが異なります.第
15366 \begin_inset CommandInset ref
15368 reference "subsec:演算子の範囲"
15375 \begin_layout Subsubsection*
15379 \begin_layout Standard
15384 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
15389 \begin_inset Flex Ruby
15392 \begin_layout Plain Layout
15394 \begin_inset Argument post:1
15397 \begin_layout Plain Layout
15418 \begin_layout Plain Layout
15420 \begin_inset CommandInset ref
15422 reference "subsec:書体様式"
15435 の前に最小空白を挿入しなくてはなりません.たとえば,
15438 \begin_layout Standard
15440 \begin_inset Formula $\int A(x)dx$
15444 \begin_inset Newline newline
15448 \begin_inset Phantom HPhantom
15451 \begin_layout Plain Layout
15458 \begin_inset Formula $\int A(x)\,\mathrm{d}x$
15464 \begin_layout Standard
15465 多重積分に関しては,以下のコマンドがあります.
15466 \begin_inset VSpace medskip
15472 \begin_layout Standard
15473 \begin_inset space \hfill{}
15477 \begin_inset Tabular
15478 <lyxtabular version="3" rows="4" columns="2">
15479 <features booktabs="true" tabularvalignment="middle">
15480 <column alignment="center" valignment="top" width="0pt">
15481 <column alignment="center" valignment="top" width="0pt">
15483 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
15486 \begin_layout Plain Layout
15492 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
15495 \begin_layout Plain Layout
15502 <row bottomspace="1mm">
15503 <cell alignment="center" valignment="top" usebox="none">
15506 \begin_layout Plain Layout
15514 <cell alignment="center" valignment="top" usebox="none">
15517 \begin_layout Plain Layout
15518 \begin_inset Formula $\iint$
15527 <row bottomspace="1mm">
15528 <cell alignment="center" valignment="top" usebox="none">
15531 \begin_layout Plain Layout
15539 <cell alignment="center" valignment="top" usebox="none">
15542 \begin_layout Plain Layout
15543 \begin_inset Formula $\oiint$
15552 <row bottomspace="1mm">
15553 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15556 \begin_layout Plain Layout
15564 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15567 \begin_layout Plain Layout
15568 \begin_inset Formula $\sqiint$
15582 \begin_inset space \hfill{}
15586 \begin_inset Tabular
15587 <lyxtabular version="3" rows="4" columns="2">
15588 <features booktabs="true" tabularvalignment="middle">
15589 <column alignment="center" valignment="top" width="0pt">
15590 <column alignment="center" valignment="top" width="0pt">
15592 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
15595 \begin_layout Plain Layout
15601 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
15604 \begin_layout Plain Layout
15611 <row bottomspace="1mm">
15612 <cell alignment="center" valignment="top" usebox="none">
15615 \begin_layout Plain Layout
15623 <cell alignment="center" valignment="top" usebox="none">
15626 \begin_layout Plain Layout
15627 \begin_inset Formula $\iiint$
15636 <row bottomspace="1mm">
15637 <cell alignment="center" valignment="top" usebox="none">
15640 \begin_layout Plain Layout
15648 <cell alignment="center" valignment="top" usebox="none">
15651 \begin_layout Plain Layout
15652 \begin_inset Formula $\iiiint$
15661 <row bottomspace="1mm">
15662 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15665 \begin_layout Plain Layout
15673 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15676 \begin_layout Plain Layout
15677 \begin_inset Formula $\dotsint$
15691 \begin_inset space \hfill{}
15697 \begin_layout Subsection
15699 \begin_inset CommandInset label
15701 name "subsec:演算子の範囲"
15706 \begin_inset Index idx
15711 \begin_layout Plain Layout
15720 \begin_layout Standard
15721 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.
15724 \begin_layout Standard
15726 \begin_inset Tabular
15727 <lyxtabular version="3" rows="2" columns="2">
15728 <features booktabs="true" tabularvalignment="middle">
15729 <column alignment="center" valignment="top" width="0pt">
15730 <column alignment="center" valignment="top" width="0pt">
15732 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
15735 \begin_layout Plain Layout
15741 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
15744 \begin_layout Plain Layout
15752 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15755 \begin_layout Plain Layout
15761 \begin_inset space \textvisiblespace{}
15765 \begin_inset Formula $\to$
15769 \begin_inset Formula $\to$
15777 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
15780 \begin_layout Plain Layout
15781 \begin_inset Formula $\prod_{0}^{\infty}A(x)$
15797 \begin_layout Standard
15798 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.
15801 \begin_layout Standard
15802 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,
15804 編集\SpecialChar menuseparator
15805 数式\SpecialChar menuseparator
15815 \begin_inset Flex Ruby
15818 \begin_layout Plain Layout
15820 \begin_inset Argument post:1
15823 \begin_layout Plain Layout
15840 )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.
15843 \begin_layout Standard
15844 既定の範囲形式は,以下のようになっています.
15845 \begin_inset Formula
15847 \sum_{x=0}^{\infty}\frac{1}{x^{2}}
15859 \begin_inset Formula
15861 \sum\nolimits_{x=0}^{\infty}\frac{1}{x^{2}}
15882 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
15887 にして積分記号の下に置くようにしています.
15888 \begin_inset Formula
15890 \iiint\limits_{V}X\,\mathrm{d}V=U\label{eq:VolInt}
15898 \begin_layout Standard
15899 \begin_inset VSpace medskip
15909 \begin_inset Index idx
15914 \begin_layout Plain Layout
15929 \begin_inset Index idx
15934 \begin_layout Plain Layout
15942 コマンドを使用します.たとえば,以下の表記
15943 \begin_inset Formula
15945 \sum_{\begin{subarray}{c}
15947 \\k\,\in\,\mathbb{N}
15948 \end{subarray}}^{n}k^{-2}\label{eq:substack}
15956 \begin_layout Standard
15957 を作成するには,以下のようにしなくてはなりません.
15958 \begin_inset Newline newline
15970 \begin_inset space \textvisiblespace{}
15975 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
15980 \begin_inset space \textvisiblespace{}
15985 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(
15988 arg "newline-insert newline"
15991 )を挿入することで作ることができます.ここに
15992 \begin_inset Newline newline
15998 \begin_inset Formula $\boldsymbol{<}$
16002 \begin_inset Formula $\boldsymbol{<}$
16006 \begin_inset Newline newline
16011 と入力すると,新規行のための新しい枠が現れます.
16014 \begin_layout Standard
16021 編集\SpecialChar menuseparator
16024 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
16029 \begin_inset space \textvisiblespace{}
16037 \begin_layout Standard
16044 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,
16053 \begin_layout Standard
16054 \begin_inset VSpace bigskip
16057 演算子の後に来る文字は,範囲の横に来るので,
16058 \begin_inset CommandInset ref
16060 reference "eq:substack"
16064 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
16071 \begin_inset Index idx
16076 \begin_layout Plain Layout
16084 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
16093 \begin_inset Index idx
16098 \begin_layout Plain Layout
16099 ぱっけーじ@パッケージ ! mathtools
16117 \begin_inset space \thinspace{}
16125 \begin_inset Newline newline
16131 \begin_inset CommandInset ref
16133 reference "eq:substack"
16140 \begin_layout Standard
16148 \begin_layout Standard
16149 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:
16150 \begin_inset Formula
16152 \sum_{\mathclap{\substack{0<k<1000\\
16153 \\k\,\in\,\mathbb{N}
16163 \begin_inset space \thinspace{}
16168 ptにすることも可能です.そのためには,
16191 \begin_layout Standard
16192 \begin_inset Formula
16194 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}
16202 \begin_layout Standard
16203 \begin_inset VSpace bigskip
16209 \begin_layout Standard
16210 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.
16211 \begin_inset Formula
16213 \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}
16227 \begin_inset Index idx
16232 \begin_layout Plain Layout
16233 ぱっけーじ@パッケージ ! mathtools
16242 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,
16249 \begin_inset Index idx
16254 \begin_layout Plain Layout
16262 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.
16263 \begin_inset Formula
16265 \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}
16273 \begin_layout Standard
16274 \begin_inset VSpace bigskip
16277 一つの範囲を複数の演算子に用いる方法が,第
16278 \begin_inset CommandInset ref
16280 reference "subsec:自己定義演算子"
16287 \begin_layout Subsection
16289 \begin_inset Index idx
16294 \begin_layout Plain Layout
16295 えんざんし@演算子 ! しゅうしょく@修飾
16303 \begin_layout Standard
16311 \begin_inset Index idx
16316 \begin_layout Plain Layout
16331 \begin_inset Index idx
16336 \begin_layout Plain Layout
16344 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,
16351 \begin_inset Index idx
16356 \begin_layout Plain Layout
16364 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.
16367 \begin_layout Standard
16377 \begin_layout Itemize
16384 は,演算子の隅に文字を置くのに用います.
16387 \begin_layout Itemize
16394 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
16404 \begin_layout Itemize
16411 は,演算子の左隅と後ろに文字を置くのに用います.
16414 \begin_layout Itemize
16421 は,演算子の右隅と前に文字を置くのに用います.
16424 \begin_layout Standard
16430 \begin_inset space \textvisiblespace{}
16436 \begin_inset space \textvisiblespace{}
16440 \begin_inset Formula $\to$
16444 \begin_inset Formula $\to$
16448 \begin_inset space \textvisiblespace{}
16458 \begin_inset Formula
16460 \sideset{}{'}\sum_{k=1}^{n}
16468 \begin_layout Standard
16469 \begin_inset Note Greyedout
16472 \begin_layout Plain Layout
16479 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.
16487 \begin_layout Standard
16488 のようになります.最後の例からわかるように,
16500 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,
16505 \begin_inset space \textvisiblespace{}
16511 \begin_inset space \textvisiblespace{}
16517 \begin_inset Formula $\uparrow$
16525 \begin_inset Formula
16527 \overset{a}{\maltese}
16535 \begin_layout Subsection
16537 \begin_inset CommandInset label
16539 name "subsec:二項演算子"
16544 \begin_inset Index idx
16549 \begin_layout Plain Layout
16551 \begin_inset space \thinspace{}
16562 \begin_layout Standard
16563 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.
16564 \begin_inset VSpace medskip
16570 \begin_layout Standard
16571 \begin_inset Tabular
16572 <lyxtabular version="3" rows="13" columns="2">
16573 <features booktabs="true" tabularvalignment="middle">
16574 <column alignment="center" valignment="top" width="0pt">
16575 <column alignment="center" valignment="top" width="0pt">
16577 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
16580 \begin_layout Plain Layout
16582 \begin_inset Note Note
16585 \begin_layout Plain Layout
16592 はスペーサーとして使用しているだけです.
16602 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
16605 \begin_layout Plain Layout
16613 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16616 \begin_layout Plain Layout
16622 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16625 \begin_layout Plain Layout
16626 \begin_inset Formula $+$
16636 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16639 \begin_layout Plain Layout
16645 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16648 \begin_layout Plain Layout
16649 \begin_inset Formula $-$
16659 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16662 \begin_layout Plain Layout
16670 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16673 \begin_layout Plain Layout
16674 \begin_inset Formula $\pm$
16684 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16687 \begin_layout Plain Layout
16695 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16698 \begin_layout Plain Layout
16699 \begin_inset Formula $\mp$
16709 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16712 \begin_layout Plain Layout
16720 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16723 \begin_layout Plain Layout
16724 \begin_inset Formula $\cdot$
16734 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16737 \begin_layout Plain Layout
16745 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16748 \begin_layout Plain Layout
16749 \begin_inset Formula $\times$
16759 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16762 \begin_layout Plain Layout
16770 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16773 \begin_layout Plain Layout
16774 \begin_inset Formula $\div$
16784 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16787 \begin_layout Plain Layout
16791 \begin_layout Plain Layout
16804 \begin_layout Plain Layout
16816 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16819 \begin_layout Plain Layout
16820 \begin_inset Formula $*$
16830 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16833 \begin_layout Plain Layout
16841 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16844 \begin_layout Plain Layout
16845 \begin_inset Formula $\star$
16855 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16858 \begin_layout Plain Layout
16866 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16869 \begin_layout Plain Layout
16870 \begin_inset Formula $\circ$
16880 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16883 \begin_layout Plain Layout
16891 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16894 \begin_layout Plain Layout
16895 \begin_inset Formula $\diamond$
16905 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
16908 \begin_layout Plain Layout
16916 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
16919 \begin_layout Plain Layout
16920 \begin_inset Formula $\bullet$
16934 \begin_inset space \hfill{}
16938 \begin_inset Tabular
16939 <lyxtabular version="3" rows="13" columns="2">
16940 <features booktabs="true" tabularvalignment="middle">
16941 <column alignment="center" valignment="top" width="0pt">
16942 <column alignment="center" valignment="top" width="0pt">
16944 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
16947 \begin_layout Plain Layout
16953 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
16956 \begin_layout Plain Layout
16964 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16967 \begin_layout Plain Layout
16975 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
16978 \begin_layout Plain Layout
16979 \begin_inset Formula $\nabla$
16989 <cell alignment="center" valignment="top" leftline="true" usebox="none">
16992 \begin_layout Plain Layout
17000 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17003 \begin_layout Plain Layout
17004 \begin_inset Formula $\bigtriangledown$
17014 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17017 \begin_layout Plain Layout
17025 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17028 \begin_layout Plain Layout
17029 \begin_inset Formula $\bigtriangleup$
17039 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17042 \begin_layout Plain Layout
17050 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17053 \begin_layout Plain Layout
17054 \begin_inset Formula $\Box$
17064 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17067 \begin_layout Plain Layout
17075 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17078 \begin_layout Plain Layout
17079 \begin_inset Formula $\cap$
17089 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17092 \begin_layout Plain Layout
17100 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17103 \begin_layout Plain Layout
17104 \begin_inset Formula $\cup$
17114 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17117 \begin_layout Plain Layout
17125 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17128 \begin_layout Plain Layout
17129 \begin_inset Formula $\dagger$
17139 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17142 \begin_layout Plain Layout
17150 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17153 \begin_layout Plain Layout
17154 \begin_inset Formula $\ddagger$
17164 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17167 \begin_layout Plain Layout
17175 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17178 \begin_layout Plain Layout
17179 \begin_inset Formula $\wr$
17189 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17192 \begin_layout Plain Layout
17200 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17203 \begin_layout Plain Layout
17204 \begin_inset Formula $\bigcirc$
17214 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17217 \begin_layout Plain Layout
17225 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17228 \begin_layout Plain Layout
17229 \begin_inset Formula $\wedge$
17239 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
17242 \begin_layout Plain Layout
17250 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
17253 \begin_layout Plain Layout
17254 \begin_inset Formula $\vee$
17268 \begin_inset space \hfill{}
17272 \begin_inset Tabular
17273 <lyxtabular version="3" rows="13" columns="2">
17274 <features booktabs="true" tabularvalignment="middle">
17275 <column alignment="center" valignment="top" width="0pt">
17276 <column alignment="center" valignment="top" width="0pt">
17278 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
17281 \begin_layout Plain Layout
17287 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
17290 \begin_layout Plain Layout
17298 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17301 \begin_layout Plain Layout
17309 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17312 \begin_layout Plain Layout
17313 \begin_inset Formula $\oplus$
17323 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17326 \begin_layout Plain Layout
17334 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17337 \begin_layout Plain Layout
17338 \begin_inset Formula $\ominus$
17348 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17351 \begin_layout Plain Layout
17359 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17362 \begin_layout Plain Layout
17363 \begin_inset Formula $\otimes$
17373 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17376 \begin_layout Plain Layout
17384 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17387 \begin_layout Plain Layout
17388 \begin_inset Formula $\oslash$
17398 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17401 \begin_layout Plain Layout
17409 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17412 \begin_layout Plain Layout
17413 \begin_inset Formula $\odot$
17423 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17426 \begin_layout Plain Layout
17434 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17437 \begin_layout Plain Layout
17438 \begin_inset Formula $\amalg$
17448 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17451 \begin_layout Plain Layout
17459 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17462 \begin_layout Plain Layout
17463 \begin_inset Formula $\uplus$
17473 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17476 \begin_layout Plain Layout
17484 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17487 \begin_layout Plain Layout
17488 \begin_inset Formula $\setminus$
17498 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17501 \begin_layout Plain Layout
17509 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17512 \begin_layout Plain Layout
17513 \begin_inset Formula $\sqcap$
17523 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17526 \begin_layout Plain Layout
17534 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17537 \begin_layout Plain Layout
17538 \begin_inset Formula $\sqcup$
17548 <cell alignment="center" valignment="top" leftline="true" usebox="none">
17551 \begin_layout Plain Layout
17559 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
17562 \begin_layout Plain Layout
17563 \begin_inset Formula $\triangleleft$
17573 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
17576 \begin_layout Plain Layout
17584 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
17587 \begin_layout Plain Layout
17588 \begin_inset Formula $\triangleright$
17604 \begin_layout Standard
17605 二項演算子は,すべて数式ツールバーボタンの
17608 arg "math-insert \\pm"
17614 \begin_layout Standard
17638 \begin_inset Formula $\nabla^{2}$
17644 \begin_layout Standard
17647 挿入\SpecialChar menuseparator
17663 \begin_layout Subsection
17665 \begin_inset CommandInset label
17667 name "subsec:自己定義演算子"
17672 \begin_inset Index idx
17677 \begin_layout Plain Layout
17678 えんざんし@演算子 ! じこていぎ@自己定義
17679 \begin_inset space \thinspace{}
17690 \begin_layout Standard
17696 DeclareMathOperator
17699 \begin_inset Index idx
17704 \begin_layout Plain Layout
17709 DeclareMathOperator
17714 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
17717 \begin_layout Standard
17722 DeclareMathOperator{新規コマンド}{表示}
17725 \begin_layout Standard
17726 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
17727 \begin_inset CommandInset ref
17729 reference "subsec:演算子の範囲"
17733 節で述べられた範囲を指定することができます.
17736 \begin_layout Standard
17737 たとえば,以下のような\SpecialChar LaTeX
17741 \begin_layout Standard
17746 DeclareMathOperator*{
17753 \begin_layout Standard
17755 \begin_inset CommandInset ref
17757 reference "subsec:その他の記号"
17761 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
17768 \begin_inset Formula
17770 \Lozenge_{n=1}^{\infty}
17786 \begin_inset Formula $\to$
17794 \begin_layout Standard
17795 \begin_inset VSpace bigskip
17798 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
17805 \begin_inset Index idx
17810 \begin_layout Plain Layout
17825 \begin_inset Index idx
17830 \begin_layout Plain Layout
17838 コマンドを用いて定義を行うこともできます.
17841 \begin_layout Standard
17855 \begin_layout Standard
17871 \begin_layout Standard
17878 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.
17881 \begin_layout Standard
17882 \begin_inset Formula
17884 \mathop{\sum\negmedspace\sum}_{i,j=1}^{N}
17892 \begin_layout Standard
17894 \begin_inset Newline newline
17910 \begin_inset space \textvisiblespace{}
17916 \begin_inset Formula $\to$
17922 \begin_inset space \textvisiblespace{}
17928 \begin_inset Newline newline
17936 \begin_layout Section
17938 \begin_inset Index idx
17943 \begin_layout Plain Layout
17950 \begin_inset Index idx
17955 \begin_layout Plain Layout
17960 \begin_layout Plain Layout
17971 \begin_layout Plain Layout
17986 \begin_layout Subsection
17988 \begin_inset CommandInset label
17995 \begin_inset Index idx
18000 \begin_layout Plain Layout
18009 \begin_layout Standard
18010 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.
18013 \begin_layout Standard
18015 \begin_inset Tabular
18016 <lyxtabular version="3" rows="6" columns="3">
18017 <features booktabs="true" tabularvalignment="middle">
18018 <column alignment="center" valignment="top" width="0pt">
18019 <column alignment="center" valignment="top">
18020 <column alignment="center" valignment="top">
18022 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
18025 \begin_layout Plain Layout
18031 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
18034 \begin_layout Plain Layout
18040 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
18043 \begin_layout Plain Layout
18053 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18056 \begin_layout Plain Layout
18062 \begin_inset space \textvisiblespace{}
18072 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18075 \begin_layout Plain Layout
18076 \begin_inset Formula $\mathbb{ABC}$
18084 <cell alignment="center" valignment="top" usebox="none">
18087 \begin_layout Plain Layout
18095 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18098 \begin_layout Plain Layout
18104 \begin_inset space \textvisiblespace{}
18114 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18117 \begin_layout Plain Layout
18118 \begin_inset Formula $\mathbf{AbC}$
18126 <cell alignment="center" valignment="top" usebox="none">
18129 \begin_layout Plain Layout
18142 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18145 \begin_layout Plain Layout
18151 \begin_inset space \textvisiblespace{}
18161 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18164 \begin_layout Plain Layout
18165 \begin_inset Formula $\boldsymbol{AbC}$
18173 <cell alignment="center" valignment="top" usebox="none">
18176 \begin_layout Plain Layout
18179 arg "font-boldsymbol"
18189 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18192 \begin_layout Plain Layout
18198 \begin_inset space \textvisiblespace{}
18208 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18211 \begin_layout Plain Layout
18212 \begin_inset Formula $\mathcal{ABC}$
18220 <cell alignment="center" valignment="top" usebox="none">
18223 \begin_layout Plain Layout
18231 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
18234 \begin_layout Plain Layout
18240 \begin_inset space \textvisiblespace{}
18250 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
18253 \begin_layout Plain Layout
18254 \begin_inset Formula $\mathfrak{AbC}$
18262 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
18265 \begin_layout Plain Layout
18279 \begin_layout Standard
18281 \begin_inset Tabular
18282 <lyxtabular version="3" rows="6" columns="3">
18283 <features booktabs="true" tabularvalignment="middle">
18284 <column alignment="center" valignment="top" width="0pt">
18285 <column alignment="center" valignment="top">
18286 <column alignment="center" valignment="top">
18288 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
18291 \begin_layout Plain Layout
18297 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
18300 \begin_layout Plain Layout
18306 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
18309 \begin_layout Plain Layout
18319 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18322 \begin_layout Plain Layout
18328 \begin_inset space \textvisiblespace{}
18338 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18341 \begin_layout Plain Layout
18342 \begin_inset Formula $\mathit{AbC}$
18350 <cell alignment="center" valignment="top" usebox="none">
18353 \begin_layout Plain Layout
18361 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18364 \begin_layout Plain Layout
18370 \begin_inset space \textvisiblespace{}
18380 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18383 \begin_layout Plain Layout
18384 \begin_inset Formula $\mathrm{AbC}$
18392 <cell alignment="center" valignment="top" usebox="none">
18395 \begin_layout Plain Layout
18408 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18411 \begin_layout Plain Layout
18417 \begin_inset space \textvisiblespace{}
18427 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18430 \begin_layout Plain Layout
18431 \begin_inset Formula $\mathsf{AbC}$
18439 <cell alignment="center" valignment="top" usebox="none">
18442 \begin_layout Plain Layout
18455 <cell alignment="center" valignment="top" leftline="true" usebox="none">
18458 \begin_layout Plain Layout
18464 \begin_inset space \textvisiblespace{}
18474 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
18477 \begin_layout Plain Layout
18478 \begin_inset Formula $\mathtt{AbC}$
18486 <cell alignment="center" valignment="top" usebox="none">
18489 \begin_layout Plain Layout
18492 arg "font-typewriter"
18502 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
18505 \begin_layout Plain Layout
18511 \begin_inset space \textvisiblespace{}
18521 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
18524 \begin_layout Plain Layout
18525 \begin_inset Formula $\mathscr{ABC}$
18533 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
18536 \begin_layout Plain Layout
18550 \begin_layout Standard
18551 \begin_inset Note Greyedout
18554 \begin_layout Plain Layout
18571 様式は,大文字にのみ使用することができます.
18579 \begin_layout Standard
18589 \begin_layout Standard
18590 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.
18591 \begin_inset Formula
18593 \mathfrak{A=\frac{b}{C}}
18601 \begin_layout Standard
18602 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,
18608 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
18613 \begin_layout Plain Layout
18614 \begin_inset CommandInset href
18616 name "LyX-bug #4629"
18617 target "https://www.lyx.org/trac/ticket/4629"
18630 \begin_layout Standard
18633 編集\SpecialChar menuseparator
18634 数学\SpecialChar menuseparator
18640 arg "math-insert \\font"
18646 \begin_layout Subsection
18648 \begin_inset CommandInset label
18650 name "subsec:ボールド体の数式"
18655 \begin_inset Index idx
18660 \begin_layout Plain Layout
18661 すうしき@数式 ! ぼーるどたい@ボールド体
18669 \begin_layout Standard
18670 数式全体をボールド体にしようとすると,前節の
18676 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
18680 \begin_layout Standard
18681 \begin_inset Formula
18683 \mathbf{\int_{n}^{2}f(\theta)=\Gamma}\qquad\textrm{\textbackslash mathbfを使用した数式}
18691 \begin_layout Standard
18692 この数式を正しく表示するには,以下のように,
18699 \begin_inset Formula
18701 \boldsymbol{\int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{\textbackslash boldsymbolを使用した数式}}
18710 に設定する方法もあります.この環境は,\SpecialChar TeX
18716 \begin_inset Index idx
18721 \begin_layout Plain Layout
18731 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,
18736 \begin_inset Index idx
18741 \begin_layout Plain Layout
18751 コマンドを\SpecialChar TeX
18756 \begin_layout Plain Layout
18766 \begin_inset Formula
18768 \int_{n}^{2}f(\theta)=\Gamma\qquad\textrm{boldmath環境に置いた数式}
18777 \begin_layout Plain Layout
18789 \begin_layout Subsection
18791 \begin_inset Index idx
18796 \begin_layout Plain Layout
18805 \begin_layout Standard
18806 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.
18807 \begin_inset Formula
18809 {\color{magenta}\int A\,\mathrm{d}x=\frac{\sqrt[5]{B}}{\ln\left(\frac{1}{3}\right)}}
18817 \begin_layout Standard
18819 \begin_inset CommandInset ref
18821 reference "subsec:色付きボックス"
18825 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
18832 \begin_inset Index idx
18837 \begin_layout Plain Layout
18846 コードコマンドで適用することができます.
18849 \begin_layout Standard
18854 textcolor{色}{文字ないし数式}
18857 \begin_layout Standard
18858 下記の例は,全体を濃緑にし,一部を赤にしています.
18861 \begin_layout Standard
18865 \begin_layout Plain Layout
18869 textcolor{darkgreen}{
18875 \begin_inset Formula
18877 \int A\,\mathrm{d}x=\frac{{\color{red}\sqrt[5]{B}}}{\ln\left(\frac{1}{3}\right)}
18886 \begin_layout Plain Layout
18896 \begin_layout Standard
18898 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
18902 \begin_layout Plain Layout
18903 \begin_inset CommandInset href
18905 name "LyX-bug #5269"
18906 target "https://www.lyx.org/trac/ticket/5269"
18919 \begin_layout Subsection
18921 \begin_inset CommandInset label
18928 \begin_inset Index idx
18933 \begin_layout Plain Layout
18942 \begin_layout Standard
18943 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.
18946 \begin_layout Standard
18990 \begin_inset Newline newline
19012 \begin_layout Standard
19013 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
19019 コマンドに設定されます.他のコマンドは,
19025 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
19026 \begin_inset space \thinspace{}
19044 \begin_layout Standard
19045 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
19046 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
19056 \begin_layout Standard
19057 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
19060 arg "math-insert \\style"
19063 を使用して,寸法を変更することができます.
19066 \begin_layout Standard
19069 \begin_inset Tabular
19070 <lyxtabular version="3" rows="5" columns="2">
19071 <features booktabs="true" tabularvalignment="middle">
19072 <column alignment="center" valignment="top" width="0pt">
19073 <column alignment="center" valignment="top">
19075 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
19078 \begin_layout Plain Layout
19084 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
19087 \begin_layout Plain Layout
19095 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19098 \begin_layout Plain Layout
19102 \begin_inset Index idx
19107 \begin_layout Plain Layout
19120 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19123 \begin_layout Plain Layout
19124 \begin_inset Formula ${\displaystyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
19133 <row topspace="1mm">
19134 <cell alignment="center" valignment="top" usebox="none">
19137 \begin_layout Plain Layout
19145 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19148 \begin_layout Plain Layout
19149 \begin_inset Formula ${\textstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
19159 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19162 \begin_layout Plain Layout
19170 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19173 \begin_layout Plain Layout
19174 \begin_inset Formula ${\scriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
19184 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
19187 \begin_layout Plain Layout
19195 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
19198 \begin_layout Plain Layout
19199 \begin_inset Formula ${\scriptscriptstyle E_{\mathrm{pot_{1}}}=\frac{K}{l+\frac{m}{n_{2}}}}$
19215 \begin_layout Standard
19216 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.
19219 \begin_layout Standard
19220 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
19221 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.
19222 \begin_inset VSpace -2mm
19228 \begin_layout Standard
19232 \begin_layout Plain Layout
19242 \begin_inset Formula
19244 A=\frac{B}{c}\cdot\maltese
19250 \begin_inset Formula
19252 \maltese A\textrm{\Large\maltese\textit{A}}\textrm{\tiny\maltese\textit{A}}
19261 \begin_layout Plain Layout
19273 \begin_layout Standard
19274 \begin_inset VSpace medskip
19283 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,
19284 \begin_inset Newline newline
19292 \begin_inset space \textvisiblespace{}
19298 \begin_inset space \textvisiblespace{}
19304 \begin_inset space \textvisiblespace{}
19310 \begin_inset space \textvisiblespace{}
19314 \begin_inset Formula $\to$
19318 \begin_inset Formula $\to$
19322 \begin_inset Newline newline
19326 \begin_inset space \hspace*{}
19337 \begin_inset space \textvisiblespace{}
19343 \begin_inset space \textvisiblespace{}
19349 \begin_inset space \textvisiblespace{}
19353 \begin_inset Newline newline
19361 \begin_layout Standard
19362 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.
19365 \begin_layout Section
19367 \begin_inset Index idx
19372 \begin_layout Plain Layout
19381 \begin_layout Standard
19382 すべてのギリシャ文字は,ツールバーボタンの
19385 arg "math-insert \\alpha"
19388 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
19389 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.
19392 \begin_layout Subsection
19394 \begin_inset Index idx
19399 \begin_layout Plain Layout
19400 ぎりしゃもじ@ギリシャ文字 ! こもじ@小文字
19408 \begin_layout Standard
19409 \begin_inset space \hfill{}
19413 \begin_inset Tabular
19414 <lyxtabular version="3" rows="11" columns="2">
19415 <features booktabs="true" tabularvalignment="middle">
19416 <column alignment="center" valignment="top" width="0pt">
19417 <column alignment="center" valignment="top" width="0pt">
19419 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
19422 \begin_layout Plain Layout
19428 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
19431 \begin_layout Plain Layout
19439 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19442 \begin_layout Plain Layout
19450 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19453 \begin_layout Plain Layout
19454 \begin_inset Formula $\alpha$
19464 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19467 \begin_layout Plain Layout
19475 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19478 \begin_layout Plain Layout
19479 \begin_inset Formula $\beta$
19489 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19492 \begin_layout Plain Layout
19500 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19503 \begin_layout Plain Layout
19504 \begin_inset Formula $\gamma$
19514 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19517 \begin_layout Plain Layout
19525 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19528 \begin_layout Plain Layout
19529 \begin_inset Formula $\delta$
19539 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19542 \begin_layout Plain Layout
19550 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19553 \begin_layout Plain Layout
19554 \begin_inset Formula $\epsilon$
19564 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19567 \begin_layout Plain Layout
19575 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19578 \begin_layout Plain Layout
19579 \begin_inset Formula $\varepsilon$
19589 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19592 \begin_layout Plain Layout
19600 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19603 \begin_layout Plain Layout
19604 \begin_inset Formula $\zeta$
19614 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19617 \begin_layout Plain Layout
19625 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19628 \begin_layout Plain Layout
19629 \begin_inset Formula $\eta$
19639 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19642 \begin_layout Plain Layout
19650 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19653 \begin_layout Plain Layout
19654 \begin_inset Formula $\theta$
19664 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
19667 \begin_layout Plain Layout
19675 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
19678 \begin_layout Plain Layout
19679 \begin_inset Formula $\vartheta$
19693 \begin_inset space \hfill{}
19697 \begin_inset Tabular
19698 <lyxtabular version="3" rows="12" columns="2">
19699 <features booktabs="true" tabularvalignment="middle">
19700 <column alignment="center" valignment="top" width="0pt">
19701 <column alignment="center" valignment="top" width="0pt">
19703 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
19706 \begin_layout Plain Layout
19712 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
19715 \begin_layout Plain Layout
19723 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19726 \begin_layout Plain Layout
19734 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19737 \begin_layout Plain Layout
19738 \begin_inset Formula $\iota$
19748 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19751 \begin_layout Plain Layout
19759 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19762 \begin_layout Plain Layout
19763 \begin_inset Formula $\kappa$
19773 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19776 \begin_layout Plain Layout
19784 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19787 \begin_layout Plain Layout
19788 \begin_inset Formula $\varkappa$
19798 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19801 \begin_layout Plain Layout
19809 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19812 \begin_layout Plain Layout
19813 \begin_inset Formula $\lambda$
19823 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19826 \begin_layout Plain Layout
19834 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19837 \begin_layout Plain Layout
19838 \begin_inset Formula $\mu$
19848 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19851 \begin_layout Plain Layout
19859 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19862 \begin_layout Plain Layout
19863 \begin_inset Formula $\nu$
19873 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19876 \begin_layout Plain Layout
19884 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19887 \begin_layout Plain Layout
19888 \begin_inset Formula $\xi$
19898 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19901 \begin_layout Plain Layout
19907 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19910 \begin_layout Plain Layout
19911 \begin_inset Formula $o$
19921 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19924 \begin_layout Plain Layout
19932 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19935 \begin_layout Plain Layout
19936 \begin_inset Formula $\pi$
19946 <cell alignment="center" valignment="top" leftline="true" usebox="none">
19949 \begin_layout Plain Layout
19957 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
19960 \begin_layout Plain Layout
19961 \begin_inset Formula $\varpi$
19971 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
19974 \begin_layout Plain Layout
19982 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
19985 \begin_layout Plain Layout
19986 \begin_inset Formula $\rho$
20000 \begin_inset space \hfill{}
20004 \begin_inset Tabular
20005 <lyxtabular version="3" rows="11" columns="2">
20006 <features booktabs="true" tabularvalignment="middle">
20007 <column alignment="center" valignment="top" width="0pt">
20008 <column alignment="center" valignment="top" width="0pt">
20010 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
20013 \begin_layout Plain Layout
20019 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
20022 \begin_layout Plain Layout
20030 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20033 \begin_layout Plain Layout
20041 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20044 \begin_layout Plain Layout
20045 \begin_inset Formula $\varrho$
20055 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20058 \begin_layout Plain Layout
20066 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20069 \begin_layout Plain Layout
20070 \begin_inset Formula $\sigma$
20080 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20083 \begin_layout Plain Layout
20091 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20094 \begin_layout Plain Layout
20095 \begin_inset Formula $\varsigma$
20105 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20108 \begin_layout Plain Layout
20116 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20119 \begin_layout Plain Layout
20120 \begin_inset Formula $\tau$
20130 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20133 \begin_layout Plain Layout
20141 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20144 \begin_layout Plain Layout
20145 \begin_inset Formula $\upsilon$
20155 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20158 \begin_layout Plain Layout
20166 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20169 \begin_layout Plain Layout
20170 \begin_inset Formula $\phi$
20180 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20183 \begin_layout Plain Layout
20191 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20194 \begin_layout Plain Layout
20195 \begin_inset Formula $\varphi$
20205 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20208 \begin_layout Plain Layout
20216 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20219 \begin_layout Plain Layout
20220 \begin_inset Formula $\chi$
20230 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20233 \begin_layout Plain Layout
20241 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20244 \begin_layout Plain Layout
20245 \begin_inset Formula $\psi$
20255 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
20258 \begin_layout Plain Layout
20266 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
20269 \begin_layout Plain Layout
20270 \begin_inset Formula $\omega$
20284 \begin_inset space \hfill{}
20290 \begin_layout Standard
20291 \begin_inset VSpace medskip
20297 \begin_layout Standard
20298 アップライト体のギリシャ文字を作成する方法は,第
20299 \begin_inset CommandInset ref
20301 reference "subsec:アップライト体ギリシャ小文字"
20308 \begin_layout Subsection
20310 \begin_inset Index idx
20315 \begin_layout Plain Layout
20316 ぎりしゃもじ@ギリシャ文字 ! おおもじ@大文字
20324 \begin_layout Standard
20325 \begin_inset space \hfill{}
20329 \begin_inset Tabular
20330 <lyxtabular version="3" rows="7" columns="2">
20331 <features booktabs="true" tabularvalignment="middle">
20332 <column alignment="center" valignment="top" width="0pt">
20333 <column alignment="center" valignment="top" width="0pt">
20335 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
20338 \begin_layout Plain Layout
20344 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
20347 \begin_layout Plain Layout
20355 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20358 \begin_layout Plain Layout
20366 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20369 \begin_layout Plain Layout
20370 \begin_inset Formula $\Gamma$
20380 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20383 \begin_layout Plain Layout
20391 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20394 \begin_layout Plain Layout
20395 \begin_inset Formula $\Delta$
20405 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20408 \begin_layout Plain Layout
20416 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20419 \begin_layout Plain Layout
20420 \begin_inset Formula $\Theta$
20430 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20433 \begin_layout Plain Layout
20441 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20444 \begin_layout Plain Layout
20445 \begin_inset Formula $\Lambda$
20455 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20458 \begin_layout Plain Layout
20466 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20469 \begin_layout Plain Layout
20470 \begin_inset Formula $\Xi$
20480 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
20483 \begin_layout Plain Layout
20491 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
20494 \begin_layout Plain Layout
20495 \begin_inset Formula $\Pi$
20509 \begin_inset space \hfill{}
20513 \begin_inset Tabular
20514 <lyxtabular version="3" rows="6" columns="2">
20515 <features booktabs="true" tabularvalignment="middle">
20516 <column alignment="center" valignment="top" width="0pt">
20517 <column alignment="center" valignment="top" width="0pt">
20519 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
20522 \begin_layout Plain Layout
20528 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
20531 \begin_layout Plain Layout
20539 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20542 \begin_layout Plain Layout
20550 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20553 \begin_layout Plain Layout
20554 \begin_inset Formula $\Sigma$
20564 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20567 \begin_layout Plain Layout
20575 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20578 \begin_layout Plain Layout
20579 \begin_inset Formula $\Upsilon$
20589 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20592 \begin_layout Plain Layout
20600 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20603 \begin_layout Plain Layout
20604 \begin_inset Formula $\Phi$
20614 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20617 \begin_layout Plain Layout
20625 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20628 \begin_layout Plain Layout
20629 \begin_inset Formula $\Psi$
20639 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
20642 \begin_layout Plain Layout
20650 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
20653 \begin_layout Plain Layout
20654 \begin_inset Formula $\Omega$
20668 \begin_inset space \hfill{}
20674 \begin_layout Standard
20675 \begin_inset VSpace medskip
20678 大文字のギリシャ文字が立体で表示されるのは,\SpecialChar TeX
20679 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
20690 \begin_inset Formula $\varGamma$
20693 を生成します.もう一つの方法は,パッケージ
20701 \begin_layout Plain Layout
20706 は,\SpecialChar LaTeX
20712 \begin_inset Index idx
20717 \begin_layout Plain Layout
20722 \begin_layout Plain Layout
20742 \begin_inset Index idx
20747 \begin_layout Plain Layout
20748 ぱっけーじ@パッケージ ! fixmath
20753 を\SpecialChar LaTeX
20757 \begin_layout Standard
20762 usepackage{fixmath}
20765 \begin_layout Standard
20766 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.
20769 \begin_layout Subsection
20771 \begin_inset Index idx
20776 \begin_layout Plain Layout
20777 ぎりしゃもじ@ギリシャ文字 ! ぼーるどたい@ボールド体
20785 \begin_layout Standard
20786 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,
20793 \begin_inset Index idx
20798 \begin_layout Plain Layout
20809 \begin_layout Standard
20811 \begin_inset Tabular
20812 <lyxtabular version="3" rows="3" columns="2">
20813 <features booktabs="true" tabularvalignment="middle">
20814 <column alignment="center" valignment="top" width="0pt">
20815 <column alignment="center" valignment="top">
20817 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
20820 \begin_layout Plain Layout
20826 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
20829 \begin_layout Plain Layout
20837 <cell alignment="center" valignment="top" leftline="true" usebox="none">
20840 \begin_layout Plain Layout
20852 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
20855 \begin_layout Plain Layout
20856 \begin_inset Formula $\Upsilon\boldsymbol{\Upsilon}$
20866 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
20869 \begin_layout Plain Layout
20881 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
20884 \begin_layout Plain Layout
20885 \begin_inset Formula $\theta\boldsymbol{\theta}$
20901 \begin_layout Section
20906 \begin_layout Plain Layout
20919 \begin_layout Plain Layout
20920 各\SpecialChar LaTeX
20921 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,
20922 \begin_inset CommandInset citation
20938 \begin_layout Plain Layout
20946 \begin_inset Note Note
20949 \begin_layout Plain Layout
20952 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.
20955 \begin_layout Plain Layout
20958 texorpdfstringについての詳細は,第
20959 \begin_inset CommandInset ref
20961 reference "subsec:節見出し中の数式"
20971 \begin_inset Index idx
20976 \begin_layout Plain Layout
20985 \begin_layout Standard
20986 本節に掲げてある各記号の多くは,ツールバーボタンの
20989 arg "math-insert \\nabla"
20995 arg "math-insert \\digamma"
21001 \begin_layout Subsection
21003 \begin_inset CommandInset label
21010 \begin_inset Index idx
21015 \begin_layout Plain Layout
21024 \begin_layout Standard
21025 \begin_inset Tabular
21026 <lyxtabular version="3" rows="10" columns="2">
21027 <features booktabs="true" tabularvalignment="middle">
21028 <column alignment="center" valignment="top" width="0pt">
21029 <column alignment="center" valignment="top" width="0pt">
21031 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
21034 \begin_layout Plain Layout
21040 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
21043 \begin_layout Plain Layout
21051 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21054 \begin_layout Plain Layout
21062 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21065 \begin_layout Plain Layout
21066 \begin_inset Formula $\neg$
21076 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21079 \begin_layout Plain Layout
21087 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21090 \begin_layout Plain Layout
21091 \begin_inset Formula $\Im$
21101 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21104 \begin_layout Plain Layout
21112 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21115 \begin_layout Plain Layout
21116 \begin_inset Formula $\Re$
21126 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21129 \begin_layout Plain Layout
21137 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21140 \begin_layout Plain Layout
21141 \begin_inset Formula $\aleph$
21151 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21154 \begin_layout Plain Layout
21162 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21165 \begin_layout Plain Layout
21166 \begin_inset Formula $\partial$
21176 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21179 \begin_layout Plain Layout
21187 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21190 \begin_layout Plain Layout
21191 \begin_inset Formula $\infty$
21201 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21204 \begin_layout Plain Layout
21212 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21215 \begin_layout Plain Layout
21216 \begin_inset Formula $\wp$
21226 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21229 \begin_layout Plain Layout
21237 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21240 \begin_layout Plain Layout
21241 \begin_inset Formula $\imath$
21251 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
21254 \begin_layout Plain Layout
21262 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
21265 \begin_layout Plain Layout
21266 \begin_inset Formula $\jmath$
21280 \begin_inset space \hfill{}
21284 \begin_inset Tabular
21285 <lyxtabular version="3" rows="10" columns="2">
21286 <features booktabs="true" tabularvalignment="middle">
21287 <column alignment="center" valignment="top" width="0pt">
21288 <column alignment="center" valignment="top" width="0pt">
21290 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
21293 \begin_layout Plain Layout
21299 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
21302 \begin_layout Plain Layout
21304 \begin_inset Note Note
21307 \begin_layout Plain Layout
21314 はスペーサーとして使用しているだけです.
21326 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21329 \begin_layout Plain Layout
21337 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21340 \begin_layout Plain Layout
21341 \begin_inset Formula $\forall$
21351 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21354 \begin_layout Plain Layout
21362 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21365 \begin_layout Plain Layout
21366 \begin_inset Formula $\exists$
21376 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21379 \begin_layout Plain Layout
21387 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21390 \begin_layout Plain Layout
21391 \begin_inset Formula $\nexists$
21401 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21404 \begin_layout Plain Layout
21412 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21415 \begin_layout Plain Layout
21416 \begin_inset Formula $\emptyset$
21426 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21429 \begin_layout Plain Layout
21437 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21440 \begin_layout Plain Layout
21441 \begin_inset Formula $\varnothing$
21451 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21454 \begin_layout Plain Layout
21462 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21465 \begin_layout Plain Layout
21466 \begin_inset Formula $\dag$
21476 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21479 \begin_layout Plain Layout
21487 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21490 \begin_layout Plain Layout
21491 \begin_inset Formula $\ddag$
21501 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21504 \begin_layout Plain Layout
21512 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21515 \begin_layout Plain Layout
21519 \begin_layout Plain Layout
21529 \begin_inset Formula $\complement$
21536 \begin_layout Plain Layout
21550 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
21553 \begin_layout Plain Layout
21561 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
21564 \begin_layout Plain Layout
21565 \begin_inset Formula $\Bbbk$
21579 \begin_inset space \hfill{}
21583 \begin_inset Tabular
21584 <lyxtabular version="3" rows="10" columns="2">
21585 <features booktabs="true" tabularvalignment="middle">
21586 <column alignment="center" valignment="top" width="0pt">
21587 <column alignment="center" valignment="top" width="0pt">
21589 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
21592 \begin_layout Plain Layout
21598 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
21601 \begin_layout Plain Layout
21609 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21612 \begin_layout Plain Layout
21620 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21623 \begin_layout Plain Layout
21624 \begin_inset Formula $\prime$
21634 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21637 \begin_layout Plain Layout
21645 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21648 \begin_layout Plain Layout
21649 \begin_inset Formula $\backprime$
21659 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21662 \begin_layout Plain Layout
21670 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21673 \begin_layout Plain Layout
21674 \begin_inset Formula $\mho$
21684 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21687 \begin_layout Plain Layout
21695 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21698 \begin_layout Plain Layout
21699 \begin_inset Formula $\triangle$
21709 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21712 \begin_layout Plain Layout
21720 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21723 \begin_layout Plain Layout
21724 \begin_inset Formula $\angle$
21734 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21737 \begin_layout Plain Layout
21745 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21748 \begin_layout Plain Layout
21749 \begin_inset Formula $\measuredangle$
21759 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21762 \begin_layout Plain Layout
21770 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21773 \begin_layout Plain Layout
21774 \begin_inset Formula $\sphericalangle$
21784 <cell alignment="center" valignment="top" leftline="true" usebox="none">
21787 \begin_layout Plain Layout
21795 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21798 \begin_layout Plain Layout
21799 \begin_inset Formula $\top$
21809 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
21812 \begin_layout Plain Layout
21820 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
21823 \begin_layout Plain Layout
21824 \begin_inset Formula $\bot$
21840 \begin_layout Subsection
21842 \begin_inset CommandInset label
21844 name "subsec:その他の記号"
21849 \begin_inset Index idx
21854 \begin_layout Plain Layout
21863 \begin_layout Standard
21866 \begin_inset Tabular
21867 <lyxtabular version="3" rows="10" columns="2">
21868 <features booktabs="true" tabularvalignment="middle">
21869 <column alignment="center" valignment="top" width="0pt">
21870 <column alignment="center" valignment="top" width="0pt">
21872 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
21875 \begin_layout Plain Layout
21881 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
21884 \begin_layout Plain Layout
21892 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21895 \begin_layout Plain Layout
21903 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21906 \begin_layout Plain Layout
21907 \begin_inset Formula $\flat$
21917 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21920 \begin_layout Plain Layout
21928 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21931 \begin_layout Plain Layout
21932 \begin_inset Formula $\natural$
21942 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21945 \begin_layout Plain Layout
21953 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21956 \begin_layout Plain Layout
21957 \begin_inset Formula $\sharp$
21967 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21970 \begin_layout Plain Layout
21978 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21981 \begin_layout Plain Layout
21982 \begin_inset Formula $\surd$
21992 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
21995 \begin_layout Plain Layout
22003 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22006 \begin_layout Plain Layout
22007 \begin_inset Formula $\checkmark$
22017 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22020 \begin_layout Plain Layout
22028 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22031 \begin_layout Plain Layout
22032 \begin_inset Formula $\yen$
22042 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22045 \begin_layout Plain Layout
22053 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22056 \begin_layout Plain Layout
22057 \begin_inset Formula $\pounds$
22067 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22070 \begin_layout Plain Layout
22076 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22079 \begin_layout Plain Layout
22080 \begin_inset Formula $\$$
22090 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
22093 \begin_layout Plain Layout
22099 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
22102 \begin_layout Plain Layout
22103 \begin_inset Formula $§$
22117 \begin_inset space \hfill{}
22121 \begin_inset Tabular
22122 <lyxtabular version="3" rows="10" columns="2">
22123 <features booktabs="true" tabularvalignment="middle">
22124 <column alignment="center" valignment="top" width="0pt">
22125 <column alignment="center" valignment="top">
22127 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
22130 \begin_layout Plain Layout
22136 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
22139 \begin_layout Plain Layout
22147 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22150 \begin_layout Plain Layout
22158 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22161 \begin_layout Plain Layout
22162 \begin_inset Formula $\hbar$
22172 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22175 \begin_layout Plain Layout
22183 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22186 \begin_layout Plain Layout
22187 \begin_inset Formula $\hslash$
22197 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22200 \begin_layout Plain Layout
22208 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22211 \begin_layout Plain Layout
22212 \begin_inset Formula $\clubsuit$
22222 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22225 \begin_layout Plain Layout
22233 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22236 \begin_layout Plain Layout
22237 \begin_inset Formula $\spadesuit$
22247 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22250 \begin_layout Plain Layout
22258 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22261 \begin_layout Plain Layout
22262 \begin_inset Formula $\bigstar$
22272 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22275 \begin_layout Plain Layout
22283 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22286 \begin_layout Plain Layout
22287 \begin_inset Formula $\blacklozenge$
22297 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22300 \begin_layout Plain Layout
22308 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22311 \begin_layout Plain Layout
22312 \begin_inset Formula $\blacktriangle$
22322 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22325 \begin_layout Plain Layout
22333 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22336 \begin_layout Plain Layout
22337 \begin_inset Formula $\blacktriangledown$
22347 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22350 \begin_layout Plain Layout
22358 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
22361 \begin_layout Plain Layout
22362 \begin_inset Formula $\bullet$
22376 \begin_inset space \hfill{}
22380 \begin_inset Tabular
22381 <lyxtabular version="3" rows="10" columns="2">
22382 <features booktabs="true" tabularvalignment="middle">
22383 <column alignment="center" valignment="top" width="0pt">
22384 <column alignment="center" valignment="top" width="0pt">
22386 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
22389 \begin_layout Plain Layout
22395 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
22398 \begin_layout Plain Layout
22406 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22409 \begin_layout Plain Layout
22417 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22420 \begin_layout Plain Layout
22421 \begin_inset Formula $\diamondsuit$
22431 <cell alignment="center" valignment="top" rightline="true" usebox="none">
22434 \begin_layout Plain Layout
22442 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22445 \begin_layout Plain Layout
22446 \begin_inset Formula $\Diamond$
22456 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22459 \begin_layout Plain Layout
22467 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22470 \begin_layout Plain Layout
22471 \begin_inset Formula $\heartsuit$
22481 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22484 \begin_layout Plain Layout
22492 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22495 \begin_layout Plain Layout
22496 \begin_inset Formula $\P$
22506 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22509 \begin_layout Plain Layout
22517 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22520 \begin_layout Plain Layout
22521 \begin_inset Formula $\copyright$
22531 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22534 \begin_layout Plain Layout
22542 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22545 \begin_layout Plain Layout
22546 \begin_inset Formula $\circledR$
22556 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22559 \begin_layout Plain Layout
22567 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22570 \begin_layout Plain Layout
22571 \begin_inset Formula $\maltese$
22581 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22584 \begin_layout Plain Layout
22592 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22595 \begin_layout Plain Layout
22596 \begin_inset Formula $\diagup$
22606 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22609 \begin_layout Plain Layout
22617 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
22620 \begin_layout Plain Layout
22621 \begin_inset Formula $\diagdown$
22637 \begin_layout Standard
22638 \begin_inset VSpace medskip
22644 \begin_layout Standard
22645 寸法を変えて表示することのできる記号もあります.第
22646 \begin_inset CommandInset ref
22648 reference "subsec:書体寸法"
22655 \begin_layout Subsection
22657 \begin_inset Index idx
22662 \begin_layout Plain Layout
22663 きごう@記号 ! ゆーろつうかきごう@ユーロ通貨記号
22669 \begin_inset Index idx
22674 \begin_layout Plain Layout
22679 \begin_layout Plain Layout
22696 \begin_layout Standard
22697 ユーロ通貨記号を数式で使用するには,\SpecialChar LaTeX
22703 \begin_inset Index idx
22708 \begin_layout Plain Layout
22709 ぱっけーじ@パッケージ ! eurosym
22714 が導入されていて,以下のような\SpecialChar LaTeX
22715 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.
22718 \begin_layout Standard
22723 usepackage[gennarrow]{eurosym}
22726 \begin_layout Standard
22734 \begin_inset Index idx
22739 \begin_layout Plain Layout
22747 コマンドで挿入することができるようになります.
22750 \begin_layout Standard
22755 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.
22766 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
22773 \begin_inset Index idx
22778 \begin_layout Plain Layout
22786 コマンド(これは\SpecialChar TeX
22787 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.
22790 \begin_layout Standard
22794 \begin_layout Plain Layout
22804 \begin_inset Note Note
22807 \begin_layout Plain Layout
22808 以下の表は,\SpecialChar LaTeX
22821 \begin_layout Standard
22822 以下は,各ユーロ通貨記号のまとめです.
22825 \begin_layout Standard
22827 \begin_inset Tabular
22828 <lyxtabular version="3" rows="4" columns="3">
22829 <features booktabs="true" tabularvalignment="middle">
22830 <column alignment="center" valignment="top" width="0pt">
22831 <column alignment="center" valignment="top" width="0pt">
22832 <column alignment="center" valignment="top" width="0pt">
22834 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
22837 \begin_layout Plain Layout
22841 \begin_layout Plain Layout
22845 cmidrule[0.08em]{2-3}
22855 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22858 \begin_layout Plain Layout
22864 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
22867 \begin_layout Plain Layout
22875 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22878 \begin_layout Plain Layout
22884 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22887 \begin_layout Plain Layout
22895 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22898 \begin_layout Plain Layout
22899 \begin_inset Formula $\euro$
22909 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22912 \begin_layout Plain Layout
22918 <cell alignment="center" valignment="top" leftline="true" usebox="none">
22921 \begin_layout Plain Layout
22927 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
22930 \begin_layout Plain Layout
22938 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22941 \begin_layout Plain Layout
22948 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
22951 \begin_layout Plain Layout
22959 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
22962 \begin_layout Plain Layout
22966 \begin_layout Plain Layout
22986 \begin_inset Note Note
22989 \begin_layout Plain Layout
22996 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
23012 \begin_layout Standard
23016 \begin_layout Plain Layout
23026 \begin_inset Note Note
23029 \begin_layout Plain Layout
23030 以下は,\SpecialChar LaTeX
23035 が導入されていないときのみ表示されます.
23043 \begin_layout Standard
23044 本節の残りを出力としてみるためには,\SpecialChar LaTeX
23052 \begin_layout Standard
23056 \begin_layout Plain Layout
23068 \begin_layout Section
23070 \begin_inset CommandInset label
23077 \begin_inset Index idx
23082 \begin_layout Plain Layout
23089 \begin_inset Index idx
23094 \begin_layout Plain Layout
23099 \begin_layout Plain Layout
23110 \begin_layout Plain Layout
23125 \begin_layout Standard
23129 arg "math-insert \\leq"
23135 \begin_layout Standard
23136 \begin_inset Tabular
23137 <lyxtabular version="3" rows="17" columns="2">
23138 <features booktabs="true" tabularvalignment="middle">
23139 <column alignment="center" valignment="top" width="0pt">
23140 <column alignment="center" valignment="top" width="0pt">
23142 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
23145 \begin_layout Plain Layout
23151 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
23154 \begin_layout Plain Layout
23162 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23165 \begin_layout Plain Layout
23171 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23174 \begin_layout Plain Layout
23175 \begin_inset Formula $<$
23185 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23188 \begin_layout Plain Layout
23196 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23199 \begin_layout Plain Layout
23200 \begin_inset Formula $\le$
23210 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23213 \begin_layout Plain Layout
23221 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23224 \begin_layout Plain Layout
23225 \begin_inset Formula $\ll$
23235 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23238 \begin_layout Plain Layout
23246 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23249 \begin_layout Plain Layout
23250 \begin_inset Formula $\prec$
23260 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23263 \begin_layout Plain Layout
23271 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23274 \begin_layout Plain Layout
23275 \begin_inset Formula $\preceq$
23285 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23288 \begin_layout Plain Layout
23296 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23299 \begin_layout Plain Layout
23300 \begin_inset Formula $\subset$
23310 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23313 \begin_layout Plain Layout
23321 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23324 \begin_layout Plain Layout
23325 \begin_inset Formula $\subseteq$
23335 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23338 \begin_layout Plain Layout
23346 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23349 \begin_layout Plain Layout
23350 \begin_inset Formula $\sqsubseteq$
23360 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23363 \begin_layout Plain Layout
23371 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23374 \begin_layout Plain Layout
23375 \begin_inset Formula $\in$
23385 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23388 \begin_layout Plain Layout
23396 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23399 \begin_layout Plain Layout
23400 \begin_inset Formula $\vdash$
23410 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23413 \begin_layout Plain Layout
23421 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23424 \begin_layout Plain Layout
23425 \begin_inset Formula $\smile$
23435 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23438 \begin_layout Plain Layout
23446 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23449 \begin_layout Plain Layout
23450 \begin_inset Formula $\lhd$
23460 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23463 \begin_layout Plain Layout
23471 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23474 \begin_layout Plain Layout
23475 \begin_inset Formula $\unlhd$
23485 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23488 \begin_layout Plain Layout
23496 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23499 \begin_layout Plain Layout
23500 \begin_inset Formula $\gtrless$
23510 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23513 \begin_layout Plain Layout
23521 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23524 \begin_layout Plain Layout
23525 \begin_inset Formula $\mid$
23535 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
23538 \begin_layout Plain Layout
23546 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
23549 \begin_layout Plain Layout
23550 \begin_inset Formula $\nmid$
23564 \begin_inset space \hfill{}
23568 \begin_inset Tabular
23569 <lyxtabular version="3" rows="17" columns="2">
23570 <features booktabs="true" tabularvalignment="middle">
23571 <column alignment="center" valignment="top" width="0pt">
23572 <column alignment="center" valignment="top" width="0pt">
23574 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
23577 \begin_layout Plain Layout
23583 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
23586 \begin_layout Plain Layout
23594 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23597 \begin_layout Plain Layout
23603 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23606 \begin_layout Plain Layout
23607 \begin_inset Formula $=$
23617 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23620 \begin_layout Plain Layout
23628 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23631 \begin_layout Plain Layout
23632 \begin_inset Formula $\not=$
23642 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23645 \begin_layout Plain Layout
23653 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23656 \begin_layout Plain Layout
23657 \begin_inset Formula $\equiv$
23667 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23670 \begin_layout Plain Layout
23678 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23681 \begin_layout Plain Layout
23682 \begin_inset Formula $\sim$
23692 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23695 \begin_layout Plain Layout
23703 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23706 \begin_layout Plain Layout
23707 \begin_inset Formula $\simeq$
23717 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23720 \begin_layout Plain Layout
23728 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23731 \begin_layout Plain Layout
23732 \begin_inset Formula $\approx$
23742 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23745 \begin_layout Plain Layout
23753 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23756 \begin_layout Plain Layout
23757 \begin_inset Formula $\cong$
23767 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23770 \begin_layout Plain Layout
23778 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23781 \begin_layout Plain Layout
23782 \begin_inset Formula $\bowtie$
23792 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23795 \begin_layout Plain Layout
23803 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23806 \begin_layout Plain Layout
23807 \begin_inset Formula $\notin$
23817 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23820 \begin_layout Plain Layout
23828 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23831 \begin_layout Plain Layout
23832 \begin_inset Formula $\perp$
23842 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23845 \begin_layout Plain Layout
23853 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23856 \begin_layout Plain Layout
23857 \begin_inset Formula $\propto$
23867 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23870 \begin_layout Plain Layout
23878 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23881 \begin_layout Plain Layout
23882 \begin_inset Formula $\asymp$
23892 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23895 \begin_layout Plain Layout
23903 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23906 \begin_layout Plain Layout
23907 \begin_inset Formula $\doteq$
23917 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23920 \begin_layout Plain Layout
23928 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23931 \begin_layout Plain Layout
23932 \begin_inset Formula $\circeq$
23942 <cell alignment="center" valignment="top" leftline="true" usebox="none">
23945 \begin_layout Plain Layout
23953 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
23956 \begin_layout Plain Layout
23957 \begin_inset Formula $\models$
23967 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
23970 \begin_layout Plain Layout
23978 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
23981 \begin_layout Plain Layout
23982 \begin_inset Formula $\widehat{=}$
23996 \begin_inset space \hfill{}
24000 \begin_inset Tabular
24001 <lyxtabular version="3" rows="17" columns="2">
24002 <features booktabs="true" tabularvalignment="middle">
24003 <column alignment="center" valignment="top" width="0pt">
24004 <column alignment="center" valignment="top" width="0pt">
24006 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24009 \begin_layout Plain Layout
24015 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
24018 \begin_layout Plain Layout
24026 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24029 \begin_layout Plain Layout
24035 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24038 \begin_layout Plain Layout
24039 \begin_inset Formula $>$
24049 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24052 \begin_layout Plain Layout
24060 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24063 \begin_layout Plain Layout
24064 \begin_inset Formula $\ge$
24074 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24077 \begin_layout Plain Layout
24085 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24088 \begin_layout Plain Layout
24089 \begin_inset Formula $\gg$
24099 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24102 \begin_layout Plain Layout
24110 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24113 \begin_layout Plain Layout
24114 \begin_inset Formula $\succ$
24124 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24127 \begin_layout Plain Layout
24135 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24138 \begin_layout Plain Layout
24139 \begin_inset Formula $\succeq$
24149 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24152 \begin_layout Plain Layout
24160 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24163 \begin_layout Plain Layout
24164 \begin_inset Formula $\supset$
24174 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24177 \begin_layout Plain Layout
24185 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24188 \begin_layout Plain Layout
24189 \begin_inset Formula $\supseteq$
24199 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24202 \begin_layout Plain Layout
24210 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24213 \begin_layout Plain Layout
24214 \begin_inset Formula $\sqsupseteq$
24224 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24227 \begin_layout Plain Layout
24235 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24238 \begin_layout Plain Layout
24239 \begin_inset Formula $\ni$
24249 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24252 \begin_layout Plain Layout
24260 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24263 \begin_layout Plain Layout
24264 \begin_inset Formula $\dashv$
24274 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24277 \begin_layout Plain Layout
24285 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24288 \begin_layout Plain Layout
24289 \begin_inset Formula $\frown$
24299 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24302 \begin_layout Plain Layout
24310 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24313 \begin_layout Plain Layout
24314 \begin_inset Formula $\rhd$
24324 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24327 \begin_layout Plain Layout
24335 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24338 \begin_layout Plain Layout
24339 \begin_inset Formula $\unrhd$
24349 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24352 \begin_layout Plain Layout
24360 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24363 \begin_layout Plain Layout
24364 \begin_inset Formula $\lessgtr$
24374 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24377 \begin_layout Plain Layout
24385 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24388 \begin_layout Plain Layout
24389 \begin_inset Formula $\parallel$
24399 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
24402 \begin_layout Plain Layout
24410 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
24413 \begin_layout Plain Layout
24414 \begin_inset Formula $\nparallel$
24430 \begin_layout Standard
24431 \begin_inset VSpace medskip
24461 \begin_layout Standard
24463 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
24466 arg "math-insert \\leqq"
24472 \begin_layout Standard
24473 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.
24476 \begin_layout Standard
24484 \begin_inset Index idx
24489 \begin_layout Plain Layout
24497 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.
24500 \begin_layout Standard
24502 \begin_inset Tabular
24503 <lyxtabular version="3" rows="2" columns="2">
24504 <features booktabs="true" tabularvalignment="middle">
24505 <column alignment="center" valignment="top" width="0pt">
24506 <column alignment="center" valignment="top">
24508 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24511 \begin_layout Plain Layout
24517 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
24520 \begin_layout Plain Layout
24527 <row topspace="1.5mm">
24528 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
24531 \begin_layout Plain Layout
24535 \begin_inset space \textvisiblespace{}
24543 \begin_inset space \textvisiblespace{}
24547 \begin_inset Formula $\downarrow$
24553 \begin_inset space \textvisiblespace{}
24557 \begin_inset space \textvisiblespace{}
24565 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
24568 \begin_layout Plain Layout
24569 \begin_inset Formula $A(r)\stackrel{r\to\infty}{\approx}B$
24585 \begin_layout Section
24589 \begin_layout Subsection
24591 \begin_inset CommandInset label
24593 name "subsec:定義済み函数"
24598 \begin_inset Index idx
24603 \begin_layout Plain Layout
24604 かんすう@関数 ! ていぎずみ@定義済み
24612 \begin_layout Standard
24617 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,
24618 \begin_inset Formula $sin$
24622 \begin_inset Formula $s\cdot i\cdot n$
24625 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
24626 ックスラッシュを加えたコマンドとして挿入します.
24629 \begin_layout Standard
24631 \begin_inset Tabular
24632 <lyxtabular version="3" rows="2" columns="2">
24633 <features booktabs="true" tabularvalignment="middle">
24634 <column alignment="center" valignment="top" width="0pt">
24635 <column alignment="center" valignment="top" width="0pt">
24637 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
24640 \begin_layout Plain Layout
24646 <cell alignment="center" valignment="top" topline="true" bottomline="true" rightline="true" usebox="none">
24649 \begin_layout Plain Layout
24657 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
24660 \begin_layout Plain Layout
24666 <cell alignment="center" valignment="top" bottomline="true" rightline="true" usebox="none">
24669 \begin_layout Plain Layout
24670 \begin_inset Formula $Asin(x)+B$
24684 \begin_inset space \quad{}
24688 \begin_inset Tabular
24689 <lyxtabular version="3" rows="2" columns="2">
24690 <features booktabs="true" tabularvalignment="middle">
24691 <column alignment="center" valignment="top" width="0pt">
24692 <column alignment="center" valignment="top" width="0pt">
24694 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
24697 \begin_layout Plain Layout
24703 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
24706 \begin_layout Plain Layout
24714 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
24717 \begin_layout Plain Layout
24725 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
24728 \begin_layout Plain Layout
24729 \begin_inset Formula $A\sin(x)+B$
24745 \begin_layout Standard
24749 \begin_layout Standard
24750 \begin_inset VSpace -2mm
24756 \begin_layout Standard
24758 \begin_inset Tabular
24759 <lyxtabular version="3" rows="9" columns="4">
24760 <features booktabs="true" tabularvalignment="middle">
24761 <column alignment="center" valignment="top" width="0pt">
24762 <column alignment="center" valignment="top" width="0pt">
24763 <column alignment="center" valignment="top" width="0pt">
24764 <column alignment="center" valignment="top" width="0pt">
24766 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24769 \begin_layout Plain Layout
24775 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24778 \begin_layout Plain Layout
24784 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
24787 \begin_layout Plain Layout
24793 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
24796 \begin_layout Plain Layout
24804 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24807 \begin_layout Plain Layout
24815 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24818 \begin_layout Plain Layout
24826 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24829 \begin_layout Plain Layout
24837 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24840 \begin_layout Plain Layout
24850 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24853 \begin_layout Plain Layout
24861 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24864 \begin_layout Plain Layout
24872 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24875 \begin_layout Plain Layout
24883 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24886 \begin_layout Plain Layout
24896 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24899 \begin_layout Plain Layout
24907 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24910 \begin_layout Plain Layout
24918 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24921 \begin_layout Plain Layout
24929 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24932 \begin_layout Plain Layout
24942 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24945 \begin_layout Plain Layout
24953 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24956 \begin_layout Plain Layout
24964 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24967 \begin_layout Plain Layout
24975 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
24978 \begin_layout Plain Layout
24988 <cell alignment="center" valignment="top" leftline="true" usebox="none">
24991 \begin_layout Plain Layout
24999 <cell alignment="center" valignment="top" leftline="true" usebox="none">
25002 \begin_layout Plain Layout
25010 <cell alignment="center" valignment="top" leftline="true" usebox="none">
25013 \begin_layout Plain Layout
25021 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25024 \begin_layout Plain Layout
25034 <cell alignment="center" valignment="top" leftline="true" usebox="none">
25037 \begin_layout Plain Layout
25045 <cell alignment="center" valignment="top" leftline="true" usebox="none">
25048 \begin_layout Plain Layout
25056 <cell alignment="center" valignment="top" leftline="true" usebox="none">
25059 \begin_layout Plain Layout
25067 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25070 \begin_layout Plain Layout
25080 <cell alignment="center" valignment="top" leftline="true" usebox="none">
25083 \begin_layout Plain Layout
25091 <cell alignment="center" valignment="top" leftline="true" usebox="none">
25094 \begin_layout Plain Layout
25102 <cell alignment="center" valignment="top" leftline="true" usebox="none">
25105 \begin_layout Plain Layout
25113 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25116 \begin_layout Plain Layout
25126 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
25129 \begin_layout Plain Layout
25137 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
25140 \begin_layout Plain Layout
25148 <cell alignment="center" valignment="top" bottomline="true" leftline="true" usebox="none">
25151 \begin_layout Plain Layout
25159 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
25162 \begin_layout Plain Layout
25178 \begin_layout Standard
25182 arg "math-insert \\functions"
25188 \begin_layout Subsection
25190 \begin_inset Index idx
25195 \begin_layout Plain Layout
25196 かんすう@関数 ! じこていぎ@自己定義
25204 \begin_layout Standard
25205 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.
25208 \begin_layout Itemize
25209 以下の行を\SpecialChar LaTeX
25210 プリアンブルに加えることによって関数を定義します.
25214 \begin_layout Plain Layout
25219 DeclareMathOperator
25222 \begin_inset CommandInset ref
25224 reference "subsec:自己定義演算子"
25234 \begin_inset Newline newline
25238 \begin_inset VSpace -3mm
25242 \begin_inset Newline newline
25249 DeclareMathOperator{
25254 \begin_inset Index idx
25259 \begin_layout Plain Layout
25264 DeclareMathOperator
25270 \begin_inset Newline newline
25274 \begin_inset VSpace -2mm
25278 \begin_inset Newline newline
25287 コマンドで呼び出すことができるようになります.
25290 \begin_layout Itemize
25291 数式を普通に書き下し,関数名を選択して(上記の例では
25295 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.
25298 \begin_layout Standard
25299 双方とも定義済み関数と同等の出力をもたらします
25303 \begin_layout Plain Layout
25305 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.
25313 \begin_layout Standard
25315 \begin_inset Tabular
25316 <lyxtabular version="3" rows="3" columns="2">
25317 <features booktabs="true" tabularvalignment="middle">
25318 <column alignment="center" valignment="top" width="0pt">
25319 <column alignment="center" valignment="top" width="0pt">
25321 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
25324 \begin_layout Plain Layout
25330 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25333 \begin_layout Plain Layout
25341 <cell alignment="center" valignment="top" leftline="true" usebox="none">
25344 \begin_layout Plain Layout
25352 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25355 \begin_layout Plain Layout
25356 \begin_inset Formula $A\sgn(x)+B$
25366 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
25369 \begin_layout Plain Layout
25373 \begin_inset Formula $\underbrace{\textrm{sgn}}_{\textrm{Alt+M}\,\textrm{M}}$
25381 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25384 \begin_layout Plain Layout
25385 \begin_inset Formula $A\,\textrm{sgn}(x)+B$
25401 \begin_layout Standard
25402 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.
25405 \begin_layout Subsection
25407 \begin_inset Index idx
25412 \begin_layout Plain Layout
25421 \begin_layout Standard
25429 \begin_inset Index idx
25434 \begin_layout Plain Layout
25457 \begin_layout Standard
25459 \begin_inset Tabular
25460 <lyxtabular version="3" rows="5" columns="2">
25461 <features booktabs="true" tabularvalignment="middle">
25462 <column alignment="center" valignment="top" width="0pt">
25463 <column alignment="center" valignment="top" width="0pt">
25465 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
25468 \begin_layout Plain Layout
25474 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25477 \begin_layout Plain Layout
25485 <cell alignment="center" valignment="top" leftline="true" usebox="none">
25488 \begin_layout Plain Layout
25496 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25499 \begin_layout Plain Layout
25500 \begin_inset Formula $\varliminf$
25509 <row topspace="1.5mm">
25510 <cell alignment="center" valignment="top" usebox="none">
25513 \begin_layout Plain Layout
25521 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25524 \begin_layout Plain Layout
25525 \begin_inset Formula $\varlimsup$
25534 <row topspace="1.5mm">
25535 <cell alignment="center" valignment="top" usebox="none">
25538 \begin_layout Plain Layout
25546 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25549 \begin_layout Plain Layout
25550 \begin_inset Formula $\varprojlim$
25559 <row topspace="1.5mm" bottomspace="1mm">
25560 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
25563 \begin_layout Plain Layout
25571 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
25574 \begin_layout Plain Layout
25575 \begin_inset Formula $\varinjlim$
25591 \begin_layout Standard
25592 \begin_inset VSpace medskip
25595 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.
25598 \begin_layout Standard
25600 \begin_inset Tabular
25601 <lyxtabular version="3" rows="2" columns="2">
25602 <features booktabs="true" tabularvalignment="middle">
25603 <column alignment="center" valignment="top" width="0pt">
25604 <column alignment="center" valignment="top" width="0pt">
25606 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
25609 \begin_layout Plain Layout
25615 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
25618 \begin_layout Plain Layout
25626 <cell alignment="center" valignment="top" usebox="none">
25629 \begin_layout Plain Layout
25635 \begin_inset space \textvisiblespace{}
25639 \begin_inset space \textvisiblespace{}
25647 <cell alignment="center" valignment="top" usebox="none">
25650 \begin_layout Plain Layout
25651 \begin_inset Formula $\lim_{x\to A}x=B$
25667 \begin_layout Standard
25668 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.
25669 \begin_inset Formula
25679 \begin_layout Standard
25680 \begin_inset VSpace medskip
25686 \begin_layout Standard
25687 極限の組版を調整する仕方については,第
25688 \begin_inset CommandInset ref
25690 reference "subsec:演算子の範囲"
25697 \begin_layout Subsection
25699 \begin_inset Index idx
25704 \begin_layout Plain Layout
25711 \begin_inset Index idx
25716 \begin_layout Plain Layout
25717 かんすう@関数 ! もじゅらす@モジュラス
25721 \begin_layout Plain Layout
25732 \begin_layout Plain Layout
25747 \begin_layout Standard
25748 剰余関数は,特別に4つの派生型があります.
25751 \begin_layout Standard
25753 \begin_inset Formula
25755 \underline{\textrm{コマンド}\raisebox{-0.9mm}{}} & & \underline{\textrm{出力}}\\
25756 \mathrm{a\backslash mod\textrm{␣}b} & & a\mod b\\
25757 \mathrm{a\backslash pmod\textrm{␣}b} & & a\pmod b\\
25758 \mathrm{a\backslash bmod\textrm{␣}b} & & a\bmod b\\
25759 \mathrm{a\backslash pod\textrm{␣}b} & & a\pod b
25767 \begin_layout Standard
25768 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
25769 のように文字を\SpecialChar TeX
25771 \begin_inset Formula
25773 \underline{\textrm{コマンド}\raisebox{-0.9mm}{}} & & \underline{\textrm{出力}}\\
25774 \mathrm{a\backslash pod\textrm{␣}bcd} & & a\pod bcd\\
25775 \mathrm{a\backslash pod\backslash\{bc\backslash\}d} & & a\pod{bc}d
25783 \begin_layout Section
25785 \begin_inset Index idx
25790 \begin_layout Plain Layout
25799 \begin_layout Standard
25800 ^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
25805 \begin_layout Standard
25808 \begin_inset Tabular
25809 <lyxtabular version="3" rows="3" columns="2">
25810 <features booktabs="true" tabularvalignment="middle">
25811 <column alignment="left" valignment="top" width="0pt">
25812 <column alignment="block" valignment="top">
25814 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
25817 \begin_layout Plain Layout
25823 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25826 \begin_layout Plain Layout
25834 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25837 \begin_layout Plain Layout
25841 \begin_inset space \textvisiblespace{}
25849 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25852 \begin_layout Plain Layout
25853 \begin_inset Formula $\mathcircumflex$
25863 <cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
25866 \begin_layout Plain Layout
25874 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
25877 \begin_layout Plain Layout
25878 \begin_inset Formula $\_$
25894 \begin_layout Subsection
25898 \begin_layout Standard
25899 以下の各コマンドは,数式テキストか\SpecialChar TeX
25900 モード中でのみ使用することができます.
25903 \begin_layout Standard
25904 \begin_inset space \hfill{}
25908 \begin_inset Tabular
25909 <lyxtabular version="3" rows="8" columns="2">
25910 <features booktabs="true" tabularvalignment="middle">
25911 <column alignment="left" valignment="top" width="0pt">
25912 <column alignment="block" valignment="top">
25914 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
25917 \begin_layout Plain Layout
25923 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
25926 \begin_layout Plain Layout
25934 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25937 \begin_layout Plain Layout
25945 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25948 \begin_layout Plain Layout
25949 \begin_inset Formula $\textrm{œ}$
25959 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25962 \begin_layout Plain Layout
25970 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25973 \begin_layout Plain Layout
25974 \begin_inset Formula $\textrm{Œ}$
25984 <cell alignment="left" valignment="top" leftline="true" usebox="none">
25987 \begin_layout Plain Layout
25995 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
25998 \begin_layout Plain Layout
25999 \begin_inset Formula $\textrm{æ}$
26009 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26012 \begin_layout Plain Layout
26020 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26023 \begin_layout Plain Layout
26024 \begin_inset Formula $\textrm{Æ}$
26034 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26037 \begin_layout Plain Layout
26045 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26048 \begin_layout Plain Layout
26049 \begin_inset Formula $\textrm{å}$
26059 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26062 \begin_layout Plain Layout
26070 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26073 \begin_layout Plain Layout
26074 \begin_inset Formula $\textrm{Å}$
26084 <cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
26087 \begin_layout Plain Layout
26095 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
26098 \begin_layout Plain Layout
26099 \begin_inset Formula $\textrm{ı}$
26113 \begin_inset space \hfill{}
26117 \begin_inset Tabular
26118 <lyxtabular version="3" rows="8" columns="2">
26119 <features booktabs="true" tabularvalignment="middle">
26120 <column alignment="left" valignment="top" width="0pt">
26121 <column alignment="center" valignment="top">
26123 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
26126 \begin_layout Plain Layout
26128 \begin_inset Note Note
26131 \begin_layout Plain Layout
26133 \begin_inset space \thinspace{}
26136 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.
26146 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
26149 \begin_layout Plain Layout
26157 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26160 \begin_layout Plain Layout
26168 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26171 \begin_layout Plain Layout
26172 \begin_inset Formula $\textrm{ø}$
26182 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26185 \begin_layout Plain Layout
26193 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26196 \begin_layout Plain Layout
26197 \begin_inset Formula $\textrm{Ø}$
26207 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26210 \begin_layout Plain Layout
26218 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26221 \begin_layout Plain Layout
26222 \begin_inset Formula $\textrm{ł}$
26232 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26235 \begin_layout Plain Layout
26243 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26246 \begin_layout Plain Layout
26247 \begin_inset Formula $\textrm{Ł}$
26257 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26260 \begin_layout Plain Layout
26262 \begin_inset space \hspace{}
26267 \begin_inset space \textvisiblespace{}
26275 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26278 \begin_layout Plain Layout
26279 \begin_inset Formula $\textrm{!`}$
26289 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26292 \begin_layout Plain Layout
26294 \begin_inset space \hspace{}
26299 \begin_inset space \textvisiblespace{}
26307 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26310 \begin_layout Plain Layout
26311 \begin_inset Formula $\textrm{?`}$
26321 <cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
26324 \begin_layout Plain Layout
26332 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
26335 \begin_layout Plain Layout
26336 \begin_inset Formula $\textrm{ȷ}$
26350 \begin_inset space \hfill{}
26356 \begin_layout Standard
26357 \begin_inset Formula $\textrm{\textrm{Å}}$
26361 \begin_inset Formula $\textrm{\textrm{Ø}}$
26367 arg "math-insert \\digamma"
26373 \begin_layout Standard
26377 \begin_inset space \hspace{}
26386 \begin_inset space \hspace{}
26392 の各コマンドで,これらは直接\SpecialChar LyX
26396 \begin_layout Subsection
26398 \begin_inset CommandInset label
26400 name "subsec:文章中のアクセント"
26405 \begin_inset Index idx
26410 \begin_layout Plain Layout
26411 あくせんと@アクセント ! ぶんしょうちゅうの@文章中の
26419 \begin_layout Standard
26420 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
26424 \begin_layout Standard
26425 \begin_inset space \hfill{}
26429 \begin_inset Tabular
26430 <lyxtabular version="3" rows="8" columns="2">
26431 <features booktabs="true" tabularvalignment="middle">
26432 <column alignment="left" valignment="top" width="0pt">
26433 <column alignment="block" valignment="top">
26435 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
26438 \begin_layout Plain Layout
26444 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
26447 \begin_layout Plain Layout
26455 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26458 \begin_layout Plain Layout
26462 \begin_inset Quotes grd
26470 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26473 \begin_layout Plain Layout
26477 \begin_layout Plain Layout
26493 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26496 \begin_layout Plain Layout
26504 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26507 \begin_layout Plain Layout
26511 \begin_layout Plain Layout
26527 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26530 \begin_layout Plain Layout
26534 \begin_inset space \textvisiblespace{}
26542 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26545 \begin_layout Plain Layout
26549 \begin_layout Plain Layout
26565 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26568 \begin_layout Plain Layout
26576 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26579 \begin_layout Plain Layout
26583 \begin_layout Plain Layout
26599 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26602 \begin_layout Plain Layout
26606 \begin_inset space \textvisiblespace{}
26614 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26617 \begin_layout Plain Layout
26621 \begin_layout Plain Layout
26637 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26640 \begin_layout Plain Layout
26644 \begin_inset space \textvisiblespace{}
26652 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26655 \begin_layout Plain Layout
26659 \begin_layout Plain Layout
26675 <cell alignment="left" valignment="top" bottomline="true" leftline="true" usebox="none">
26678 \begin_layout Plain Layout
26682 \begin_inset space \textvisiblespace{}
26690 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
26693 \begin_layout Plain Layout
26697 \begin_layout Plain Layout
26717 \begin_inset space \hfill{}
26721 \begin_inset Tabular
26722 <lyxtabular version="3" rows="8" columns="2">
26723 <features booktabs="true" tabularvalignment="middle">
26724 <column alignment="left" valignment="top" width="0pt">
26725 <column alignment="center" valignment="top">
26727 <cell alignment="left" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
26730 \begin_layout Plain Layout
26736 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
26739 \begin_layout Plain Layout
26747 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26750 \begin_layout Plain Layout
26754 \begin_inset space \textvisiblespace{}
26762 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26765 \begin_layout Plain Layout
26769 \begin_layout Plain Layout
26785 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26788 \begin_layout Plain Layout
26796 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26799 \begin_layout Plain Layout
26803 \begin_layout Plain Layout
26819 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26822 \begin_layout Plain Layout
26826 \begin_inset Index idx
26831 \begin_layout Plain Layout
26842 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26845 \begin_layout Plain Layout
26849 \begin_layout Plain Layout
26865 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26868 \begin_layout Plain Layout
26876 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26879 \begin_layout Plain Layout
26883 \begin_layout Plain Layout
26899 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26902 \begin_layout Plain Layout
26906 \begin_inset space \textvisiblespace{}
26914 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26917 \begin_layout Plain Layout
26921 \begin_layout Plain Layout
26937 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26940 \begin_layout Plain Layout
26944 \begin_inset space \textvisiblespace{}
26952 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26955 \begin_layout Plain Layout
26959 \begin_layout Plain Layout
26975 <cell alignment="left" valignment="top" leftline="true" usebox="none">
26978 \begin_layout Plain Layout
26982 \begin_inset space \textvisiblespace{}
26990 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
26993 \begin_layout Plain Layout
26997 \begin_layout Plain Layout
27017 \begin_inset space \hfill{}
27023 \begin_layout Standard
27024 \begin_inset VSpace medskip
27033 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
27038 \begin_inset space \textvisiblespace{}
27047 \begin_layout Plain Layout
27059 \begin_layout Standard
27072 の各アクセントは,\SpecialChar TeX
27073 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
27077 \begin_layout Plain Layout
27078 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.
27102 \begin_layout Standard
27145 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
27147 \begin_inset CommandInset ref
27149 reference "subsec:一文字に付けるアクセント"
27156 \begin_layout Standard
27157 \begin_inset VSpace bigskip
27167 \begin_inset Index idx
27172 \begin_layout Plain Layout
27180 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.
27183 \begin_layout Standard
27185 \begin_inset Tabular
27186 <lyxtabular version="3" rows="3" columns="2">
27187 <features booktabs="true" tabularvalignment="middle">
27188 <column alignment="center" valignment="top" width="0pt">
27189 <column alignment="center" valignment="top">
27191 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
27194 \begin_layout Plain Layout
27200 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
27203 \begin_layout Plain Layout
27211 <cell alignment="center" valignment="top" leftline="true" usebox="none">
27214 \begin_layout Plain Layout
27222 <cell multicolumn="1" alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
27225 \begin_layout Plain Layout
27229 \begin_layout Plain Layout
27244 <row topspace="1mm">
27245 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
27248 \begin_layout Plain Layout
27259 raisebox{-1.5pt}{W}}
27264 <cell multicolumn="1" alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
27267 \begin_layout Plain Layout
27271 \begin_layout Plain Layout
27301 \begin_layout Standard
27302 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,
27312 \begin_layout Plain Layout
27314 \begin_inset CommandInset ref
27316 reference "subsec:書体寸法"
27335 \begin_layout Plain Layout
27337 \begin_inset CommandInset ref
27339 reference "subsec:枠なしボックス"
27348 を使って,文字が真ん中にくるようにしています.
27351 \begin_layout Subsection
27353 \begin_inset Index idx
27358 \begin_layout Plain Layout
27367 \begin_layout Standard
27375 \begin_inset Index idx
27380 \begin_layout Plain Layout
27388 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
27389 モード中でも使うことができます.コマンド書式は,
27392 \begin_layout Standard
27400 \begin_layout Standard
27405 oldstylenums{0123456789}
27408 \begin_inset Formula $\oldstylenums{0123456789}$
27414 \begin_layout Section
27416 \begin_inset CommandInset label
27423 \begin_inset Index idx
27428 \begin_layout Plain Layout
27437 \begin_layout Itemize
27442 \begin_layout Description
27446 \begin_layout Description
27449 文書\SpecialChar menuseparator
27459 \begin_layout Standard
27464 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.
27468 \begin_layout Itemize
27471 文書\SpecialChar menuseparator
27482 \begin_layout Description
27486 \begin_layout Description
27491 \begin_layout Standard
27492 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,
27496 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
27497 \begin_inset CommandInset ref
27499 reference "subsec:flalign環境"
27506 \begin_layout Section
27508 \begin_inset CommandInset label
27515 \begin_inset Index idx
27520 \begin_layout Plain Layout
27522 \begin_inset space \thinspace{}
27533 \begin_layout Subsection
27537 \begin_layout Standard
27542 arg "newline-insert newline"
27545 を押すことで作られます.この操作によって,第
27546 \begin_inset CommandInset ref
27548 reference "subsec:eqnarray環境"
27560 オプションが選択されている場合には,第
27561 \begin_inset CommandInset ref
27563 reference "subsec:標準align環境"
27574 \begin_layout Standard
27577 挿入\SpecialChar menuseparator
27580 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.
27583 \begin_layout Standard
27587 arg "newline-insert newline"
27590 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
27593 arg "tabular-feature append-row"
27599 arg "tabular-feature delete-row"
27604 編集\SpecialChar menuseparator
27610 \begin_layout Subsubsection
27612 \begin_inset CommandInset label
27619 \begin_inset Index idx
27624 \begin_layout Plain Layout
27626 \begin_inset space \thinspace{}
27637 \begin_layout Standard
27638 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.
27639 \begin_inset Formula
27641 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}\\
27642 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
27650 \begin_layout Standard
27652 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
27657 \begin_layout Plain Layout
27658 \begin_inset CommandInset href
27660 name "LyX-bug #1505"
27661 target "https://www.lyx.org/trac/ticket/1505"
27671 ので,数式全体を\SpecialChar TeX
27672 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
27680 というコマンドを入れます.すると,次のようになります.
27684 \begin_layout Plain Layout
27691 \begin_layout Plain Layout
27693 B^{2}(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2})+4x_{0}^{2}x^{2}+4x_{0}xD &
27696 textrm{-}4x^{2}B^{2}+4x_{0}xB^{2}
27703 \begin_layout Plain Layout
27707 left(B^{2}+x_{0}^{2}
27715 left(B^{2}-2r_{g}^{2}+2x_{0}^{2}-2r_{k}^{2}
27720 \begin_layout Plain Layout
27732 \begin_layout Standard
27733 \begin_inset VSpace bigskip
27736 同一数式内のすべての行の行間を一律に指定するには,
27743 \begin_inset Index idx
27748 \begin_layout Plain Layout
27757 \begin_inset Formula $\mbox{行間}=\mathrm{6\,pt+\backslash jot}$
27767 \begin_inset space \thinspace{}
27771 \begin_inset space \thinspace{}
27777 \begin_layout Standard
27787 \begin_layout Standard
27788 というコマンドを,数式直前に\SpecialChar TeX
27789 モードで入れておきます.これを行うには,\SpecialChar LaTeX
27793 \begin_layout Standard
27801 \begin_layout Standard
27802 という行を入れて,\SpecialChar LaTeX
27811 \begin_layout Plain Layout
27816 は標準的な\SpecialChar LaTeX
27823 \begin_inset Index idx
27828 \begin_layout Plain Layout
27834 を読み込んでおく必要があります.すると,
27838 \begin_layout Plain Layout
27850 \begin_inset Formula
27852 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}\\
27853 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
27861 \begin_layout Standard
27865 \begin_layout Plain Layout
27876 のような結果を得ます.行間を既定値に戻すには,
27883 \begin_inset space \thinspace{}
27889 \begin_layout Subsubsection
27891 \begin_inset CommandInset label
27898 \begin_inset Index idx
27903 \begin_layout Plain Layout
27905 \begin_inset space \thinspace{}
27916 \begin_layout Standard
27917 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
27921 \begin_layout Standard
27929 \begin_inset Index idx
27934 \begin_layout Plain Layout
27943 \begin_inset Newline newline
27947 \begin_inset space \thinspace{}
27957 \begin_inset Newline newline
27963 \begin_layout Standard
27973 \begin_layout Standard
27974 というコマンドを\SpecialChar TeX
27975 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
27976 \begin_inset space \thinspace{}
27979 cmになります.これを既定値に戻すには,
27986 \begin_inset space \thinspace{}
27992 \begin_layout Standard
27994 \begin_inset space \thinspace{}
28001 \begin_layout Plain Layout
28013 \begin_inset Formula
28022 \begin_inset space \thinspace{}
28029 \begin_layout Plain Layout
28041 \begin_inset Formula
28052 \begin_layout Subsubsection
28054 \begin_inset Index idx
28059 \begin_layout Plain Layout
28068 \begin_layout Standard
28069 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.
28072 \begin_layout Itemize
28073 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.
28074 \begin_inset Formula
28076 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 \\
28077 & & -\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}
28082 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
28083 示されません.これを避けるために,マイナス記号の後に
28093 \begin_layout Plain Layout
28101 \begin_inset CommandInset ref
28103 reference "subsec:可変長の空白"
28113 \begin_inset Index idx
28118 \begin_layout Plain Layout
28127 \begin_inset space \thinspace{}
28133 \begin_layout Itemize
28141 \begin_inset Index idx
28146 \begin_layout Plain Layout
28154 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.
28155 \begin_inset Formula
28157 \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 \\
28158 & & -\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 \\
28159 & & =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}
28170 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.
28171 \begin_inset Newline newline
28174 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.
28175 \begin_inset VSpace medskip
28179 \begin_inset Newline newline
28183 \begin_inset Note Greyedout
28186 \begin_layout Plain Layout
28193 を使用する際には,以下のことにご注意下さい.
28196 \begin_layout Itemize
28197 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
28198 \begin_inset Formula $-B^{2}$
28201 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.
28204 \begin_layout Itemize
28206 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
28210 \begin_layout Plain Layout
28211 \begin_inset CommandInset href
28213 name "LyX-bug #1429"
28214 target "https://www.lyx.org/trac/ticket/1429"
28225 \begin_inset Flex Ruby
28228 \begin_layout Plain Layout
28230 \begin_inset Argument post:1
28233 \begin_layout Plain Layout
28252 \begin_layout Itemize
28254 \begin_inset CommandInset ref
28256 reference "subsec:multline環境"
28261 \begin_inset CommandInset ref
28263 reference "subsec:数式の一部の多行化"
28267 節で述べられている環境を用いる方法があります.
28270 \begin_layout Subsubsection
28272 \begin_inset CommandInset label
28274 name "subsec:多行にわたる分数"
28279 \begin_inset Index idx
28284 \begin_layout Plain Layout
28285 ぶんすう@分数 ! たぎょうにわたる@多行にわたる
28293 \begin_layout Standard
28294 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,
28301 \begin_inset Index idx
28306 \begin_layout Plain Layout
28314 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
28323 \begin_inset Index idx
28328 \begin_layout Plain Layout
28329 ぱっけーじ@パッケージ ! mathtools
28347 \begin_layout Standard
28352 splitfrac{1行目}{2行目}
28355 \begin_layout Standard
28356 となっており,分母にも分子にも使うことができます.
28359 \begin_layout Standard
28360 \begin_inset Formula
28362 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}
28367 上記の最初の分子に使われているコマンドは,
28370 \begin_layout Standard
28375 splitfrac{xy+xy+xy+xy+xy
28376 \begin_inset space \textvisiblespace{}
28384 \begin_layout Standard
28388 \begin_layout Subsubsection
28390 \begin_inset CommandInset label
28392 name "subsec:多行にわたる括弧"
28397 \begin_inset Index idx
28402 \begin_layout Plain Layout
28403 かっこ@括弧 ! たぎょうすうしきよう@多行数式用
28411 \begin_layout Standard
28412 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.
28413 \begin_inset Formula
28415 A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
28416 & & \left.\cdots+B-D\right]
28424 \begin_layout Standard
28425 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.
28428 \begin_layout Standard
28429 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
28436 \begin_inset Index idx
28441 \begin_layout Plain Layout
28457 \begin_layout Plain Layout
28471 \begin_inset CommandInset ref
28473 reference "subsec:自動の括弧丈"
28485 \begin_inset Index idx
28490 \begin_layout Plain Layout
28498 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,
28511 \begin_inset space \textvisiblespace{}
28521 \begin_inset space \textvisiblespace{}
28531 \begin_inset space \textvisiblespace{}
28537 \begin_inset Formula $\downarrow$
28543 \begin_inset Index idx
28548 \begin_layout Plain Layout
28559 \begin_layout Standard
28561 \begin_inset Formula
28563 A & = & \sin(x)\left[\prod_{R=1}^{\infty}\frac{1}{R}+\cdots\right.\\
28564 & & \left.\vphantom{\prod_{R=1}^{\infty}}\cdots+B-D\right]
28572 \begin_layout Subsection
28576 \begin_layout Standard
28577 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.
28580 \begin_layout Standard
28581 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.
28584 \begin_layout Standard
28587 挿入\SpecialChar menuseparator
28592 編集\SpecialChar menuseparator
28593 数式\SpecialChar menuseparator
28596 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.
28599 \begin_layout Standard
28600 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
28603 arg "tabular-feature append-column"
28609 arg "tabular-feature delete-column"
28614 編集\SpecialChar menuseparator
28620 \begin_layout Subsubsection
28622 \begin_inset CommandInset label
28624 name "subsec:標準align環境"
28629 \begin_inset Index idx
28634 \begin_layout Plain Layout
28636 \begin_inset space \thinspace{}
28639 —— ! alignかんきょう@align環境
28647 \begin_layout Standard
28651 arg "newline-insert newline"
28656 挿入\SpecialChar menuseparator
28657 数式\SpecialChar menuseparator
28663 \begin_layout Standard
28664 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.
28665 \begin_inset Formula
28667 A & =\sin(B) & C & =D\\
28668 C & \ne A & B & \ne D
28673 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
28681 \begin_layout Plain Layout
28689 \begin_inset CommandInset ref
28691 reference "subsec:可変長の空白"
28702 があるかのように配置されます.数式様式として
28708 \begin_layout Plain Layout
28714 \begin_inset CommandInset ref
28716 reference "sec:数式様式"
28736 \begin_layout Subsubsection
28738 \begin_inset Index idx
28743 \begin_layout Plain Layout
28745 \begin_inset space \thinspace{}
28748 —— ! alignatかんきょう@alignat環境
28756 \begin_layout Standard
28757 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
28758 \begin_inset CommandInset ref
28760 reference "subsec:空白"
28764 節に述べられている空白を使用して手動で入れます.
28767 \begin_layout Standard
28768 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
28769 \begin_inset space \thinspace{}
28773 \begin_inset Formula
28774 \begin{alignat*}{2}
28775 A & =\sin(B) & \hspace{1cm}C & =D\\
28776 C & \ne A & B & \ne D
28781 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.
28784 \begin_layout Subsubsection
28786 \begin_inset CommandInset label
28788 name "subsec:flalign環境"
28793 \begin_inset Index idx
28798 \begin_layout Plain Layout
28800 \begin_inset space \thinspace{}
28803 —— ! flalignかんきょう@flalign環境
28811 \begin_layout Standard
28812 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.
28813 \begin_inset Formula
28815 A & =1 & B & =2 & C & =3\\
28816 X & =\textrm{-}1 & Y & =\textrm{-}2 & Z & =4
28824 \begin_layout Standard
28825 奇数列のflalign環境を作成し,最後の列に空の\SpecialChar TeX
28830 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
28831 \begin_inset CommandInset ref
28833 reference "eq:VolInt"
28838 \begin_inset Formula
28840 \hspace{30pt}\iiint\limits_{V}X\,\mathrm{d}V & =U & {}
28845 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
28846 \begin_inset space \thinspace{}
28849 ptの空白が第1列の頭に入れてあります.
28852 \begin_layout Subsection
28854 \begin_inset CommandInset label
28856 name "subsec:eqnarray環境"
28861 \begin_inset Index idx
28866 \begin_layout Plain Layout
28868 \begin_inset space \thinspace{}
28871 —— ! eqnarrayかんきょう@eqnarray環境
28879 \begin_layout Standard
28880 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
28881 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.
28882 \begin_inset Formula
28884 \frac{ABC}{D} & \frac{ABC}{D} & \frac{ABC}{D}\\
28894 \begin_layout Subsection
28896 \begin_inset Index idx
28901 \begin_layout Plain Layout
28903 \begin_inset space \thinspace{}
28906 —— ! gatherかんきょう@gather環境
28914 \begin_layout Standard
28915 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.
28916 \begin_inset Formula
28927 \begin_layout Subsection
28929 \begin_inset CommandInset label
28931 name "subsec:multline環境"
28936 \begin_inset Index idx
28941 \begin_layout Plain Layout
28943 \begin_inset space \thinspace{}
28946 —— ! multlineかんきょう@multpline環境
28954 \begin_layout Standard
28955 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
28956 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,
28957 \begin_inset CommandInset ref
28959 reference "eq:lefteqn"
28963 式をmultline環境に置いたものを示します.
28964 \begin_inset Formula
28966 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}\\
28967 -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}\\
28968 =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}}
28976 \begin_layout Standard
28977 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
28981 \begin_layout Plain Layout
28983 \begin_inset CommandInset ref
28985 reference "sec:数式様式"
28997 \begin_layout Standard
29003 \begin_inset Index idx
29008 \begin_layout Plain Layout
29019 \begin_inset Index idx
29024 \begin_layout Plain Layout
29034 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.
29037 \begin_layout Standard
29051 \begin_layout Standard
29052 \begin_inset VSpace medskip
29060 \begin_inset Index idx
29065 \begin_layout Plain Layout
29075 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
29076 \begin_inset space \thinspace{}
29082 \begin_layout Standard
29086 \begin_layout Standard
29096 \begin_layout Standard
29097 というコマンドを,\SpecialChar TeX
29102 \begin_layout Plain Layout
29114 \begin_inset Formula
29116 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}\\
29117 \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}}\\
29118 =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}}
29127 \begin_layout Plain Layout
29147 \begin_layout Subsection
29149 \begin_inset CommandInset label
29151 name "subsec:数式の一部の多行化"
29156 \begin_inset Index idx
29161 \begin_layout Plain Layout
29163 \begin_inset space \thinspace{}
29166 —— ! すうしきのいちぶ@数式の一部
29174 \begin_layout Standard
29175 数式の一部分のみを多行表示したい場合には,
29191 のうちのいずれかの環境を使用します.これらは,
29193 挿入\SpecialChar menuseparator
29196 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.
29199 \begin_layout Standard
29204 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,
29205 \begin_inset Formula
29207 \left.\begin{aligned}\Delta x\Delta p & \ge\frac{\hbar}{2}\\
29208 \Delta E\Delta t & \ge\frac{\hbar}{2}
29210 \right\} \textrm{不確定性原理}
29218 \begin_layout Standard
29219 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
29224 \begin_inset Index idx
29229 \begin_layout Plain Layout
29239 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
29243 \begin_layout Standard
29244 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
29245 に配置できる利点があります.以下に例として,
29246 \begin_inset CommandInset ref
29248 reference "eq:shortlong"
29252 式にaligned環境を適用したものを示します.
29253 \begin_inset Formula
29255 \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}|}\\
29256 & -\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}|}
29265 \begin_layout Standard
29285 \begin_inset Index idx
29290 \begin_layout Plain Layout
29305 \begin_inset Index idx
29310 \begin_layout Plain Layout
29325 \begin_inset Index idx
29330 \begin_layout Plain Layout
29338 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.
29341 \begin_layout Subsection
29343 \begin_inset CommandInset label
29345 name "subsec:多行数式中のテキスト"
29350 \begin_inset Index idx
29355 \begin_layout Plain Layout
29356 てきすと @ テキスト ! すうしきちゅうの @ 数式中の
29362 \begin_inset Index idx
29367 \begin_layout Plain Layout
29368 すうしき @ 数式 ! たぎょう @ 多行
29369 \begin_inset space \thinspace{}
29380 \begin_layout Standard
29381 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
29389 \begin_inset Index idx
29394 \begin_layout Plain Layout
29405 \begin_layout Standard
29413 \begin_layout Standard
29414 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
29421 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,
29427 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.
29428 \begin_inset Formula
29430 I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
29431 \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
29439 \begin_layout Standard
29446 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
29455 \begin_inset Index idx
29460 \begin_layout Plain Layout
29461 ぱっけーじ@パッケージ ! mathtools
29470 に設定してください.そうすると,以下のように,
29483 \begin_inset Index idx
29488 \begin_layout Plain Layout
29497 \begin_inset Formula
29499 I & =a\sqrt{2}\int_{0}^{2\pi}\sqrt{1+\cos(\phi)}\;\mathrm{d}\phi\\
29500 \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
29508 \begin_layout Section
29510 \begin_inset Index idx
29515 \begin_layout Plain Layout
29522 \begin_inset Index idx
29527 \begin_layout Plain Layout
29532 \begin_layout Plain Layout
29543 \begin_layout Plain Layout
29558 \begin_layout Subsection
29562 \begin_layout Standard
29565 挿入\SpecialChar menuseparator
29566 数式\SpecialChar menuseparator
29570 \begin_inset Flex Ruby
29573 \begin_layout Plain Layout
29575 \begin_inset Argument post:1
29578 \begin_layout Plain Layout
29592 \begin_inset space ~
29597 )で作ることができます.既存の数式に番号を振るには,
29599 編集\SpecialChar menuseparator
29600 数式\SpecialChar menuseparator
29606 arg "math-number-toggle"
29609 )を使います.\SpecialChar LyX
29610 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.
29613 \begin_layout Standard
29614 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,
29616 編集\SpecialChar menuseparator
29617 数式\SpecialChar menuseparator
29623 arg "math-number-line-toggle"
29626 )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.
29629 \begin_layout Standard
29630 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
29631 \begin_inset CommandInset ref
29633 reference "sec:数式様式"
29640 \begin_layout Subsection
29642 \begin_inset Index idx
29647 \begin_layout Plain Layout
29648 そうごさんしょう@相互参照 ! すうしきへの@数式への
29656 \begin_layout Standard
29657 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,
29659 挿入\SpecialChar menuseparator
29668 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
29672 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
29673 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,
29675 挿入\SpecialChar menuseparator
29681 \begin_layout Standard
29683 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.
29686 \begin_layout Standard
29689 挿入\SpecialChar menuseparator
29695 arg "dialog-show-new-inset ref"
29698 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「
29702 」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.
29703 \begin_inset Newline newline
29707 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.
29710 \begin_layout Standard
29711 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.
29712 \begin_inset Note Note
29715 \begin_layout Plain Layout
29716 相互参照の型の違いに留意してください.
29724 \begin_layout Standard
29725 \begin_inset CommandInset ref
29732 \begin_inset CommandInset ref
29739 \begin_inset CommandInset ref
29746 \begin_inset CommandInset ref
29752 )式では,付番にラテン数字を使用しています.
29755 \begin_layout Standard
29756 \begin_inset VSpace medskip
29767 \begin_layout Plain Layout
29775 \begin_inset CommandInset ref
29777 reference "subsec:自己定義番号"
29789 \begin_inset CommandInset ref
29791 reference "subsec:段落ボックス"
29795 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.
29798 \begin_layout Subsection
29800 \begin_inset Index idx
29805 \begin_layout Plain Layout
29806 すうしきばんごう@数式番号 ! さいもくばんごう@細目番号
29814 \begin_layout Standard
29817 Formulas can be numbered as subequations.
29818 To activate this feature, add the module
29822 to the document in the menu
29824 Document\SpecialChar menuseparator
29825 Settings\SpecialChar menuseparator
29829 To insert subequations use the menu
29831 Insert\SpecialChar menuseparator
29832 Custom Insets\SpecialChar menuseparator
29838 \begin_layout Standard
29841 The equations to be subnumbered are put into the
29848 \begin_inset Formula
29856 \begin_inset VSpace -5mm
29860 \begin_inset Flex Subequations
29863 \begin_layout Plain Layout
29864 \begin_inset Formula
29872 \begin_inset Formula
29887 \begin_layout Standard
29890 Every formula in the
29894 inset will be subnumbered with
29896 a・b・c\SpecialChar ldots
29900 \begin_layout Standard
29902 \begin_inset CommandInset ref
29909 \begin_inset CommandInset ref
29917 If you want to reference the subequations collectively, insert a label as
29925 \begin_inset CommandInset ref
29934 \begin_layout Standard
29937 By inserting subequations vertical space is added before it
29940 \begin_inset space \thinspace{}
29945 vertical space right before the
29957 \begin_layout Plain Layout
29959 \begin_inset CommandInset ref
29961 reference "sec:数式様式"
29973 \begin_inset space \thinspace{}
29979 \begin_layout Standard
29982 To get another subnumber instead of small Latin letters, insert this command
29983 as \SpecialChar TeX
29984 code before the equations in the
29991 \begin_layout Standard
30000 theparentequation -
30005 \begin_layout Standard
30008 theparentequationは親番号を生成し,
30010 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
30011 \begin_inset CommandInset ref
30013 reference "subsec:ローマ数字や文字を使った付番"
30020 \begin_layout Standard
30021 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.
30022 \begin_inset Flex Subequations
30025 \begin_layout Plain Layout
30026 \begin_inset CommandInset label
30036 \begin_layout Plain Layout
30044 theparentequation -
30052 \begin_inset Formula
30054 A & = & (B-Z)^{2}=(B-Z)(B-Z)\\
30055 & = & B^{2}-ZB-BZ+Z^{2}\nonumber \\
30056 & = & B^{2}-2BZ+Z^{2}
30069 \begin_layout Subsection
30071 \begin_inset CommandInset label
30073 name "subsec:ローマ数字や文字を使った付番"
30078 \begin_inset Index idx
30083 \begin_layout Plain Layout
30084 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
30090 \begin_inset Index idx
30095 \begin_layout Plain Layout
30096 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
30104 \begin_layout Standard
30105 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
30109 \begin_layout Standard
30121 \begin_layout Standard
30129 \begin_inset Index idx
30134 \begin_layout Plain Layout
30158 \begin_layout Plain Layout
30166 \begin_inset CommandInset ref
30168 reference "subsec:newcommandコマンド"
30193 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
30205 \begin_inset Index idx
30210 \begin_layout Plain Layout
30220 は,カウンタを小文字のローマ数字として出力します.
30223 \begin_layout Standard
30234 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
30247 \begin_inset Index idx
30252 \begin_layout Plain Layout
30262 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,
30269 \begin_inset Index idx
30274 \begin_layout Plain Layout
30282 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,
30289 \begin_inset Index idx
30294 \begin_layout Plain Layout
30307 \begin_layout Standard
30308 \begin_inset Note Greyedout
30311 \begin_layout Plain Layout
30316 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.
30322 \begin_inset Newpage newpage
30328 \begin_layout Standard
30332 \begin_layout Plain Layout
30348 \begin_layout Standard
30349 \begin_inset Formula
30351 A=\textrm{小文字ローマ数字}
30360 \begin_layout Plain Layout
30374 \begin_inset Formula
30376 B=\textrm{大文字ローマ数字}\label{eq:Rom}
30385 \begin_layout Plain Layout
30399 \begin_inset Formula
30401 C=\textrm{小文字ラテン文字}
30410 \begin_layout Plain Layout
30424 \begin_inset Formula
30426 D=\textrm{大文字ラテン文字}\label{eq:Lat}
30434 \begin_layout Standard
30435 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.
30438 \begin_layout Standard
30448 \begin_inset Index idx
30453 \begin_layout Plain Layout
30464 \begin_layout Standard
30468 \begin_layout Plain Layout
30482 \begin_inset Formula
30492 \begin_layout Standard
30493 \begin_inset VSpace medskip
30496 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
30497 てはなりません.この点に関する説明は,ファイル
30498 \begin_inset CommandInset href
30500 name "Formula-numbering.lyx"
30501 target "run:Formula-numbering.lyx"
30509 \begin_layout Subsection
30511 \begin_inset CommandInset label
30513 name "subsec:自己定義番号"
30518 \begin_inset Index idx
30523 \begin_layout Plain Layout
30524 すうしきばんごう@数式番号 ! じこていぎ@自己定義
30532 \begin_layout Standard
30533 \begin_inset Note Greyedout
30536 \begin_layout Plain Layout
30542 If the document language is a right-to-left language such as Arabic, you
30543 must add this to the to the \SpecialChar LaTeX
30544 -preamble to be able to use the commands described
30548 \begin_inset Newline newline
30556 \begin_inset Newline newline
30560 \begin_inset Phantom HPhantom
30563 \begin_layout Plain Layout
30564 \begin_inset space ~
30590 \begin_layout Standard
30591 \begin_inset Index idx
30596 \begin_layout Plain Layout
30597 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
30602 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
30603 プリアンブルに以下の行を付け加えます.
30606 \begin_layout Standard
30612 \begin_inset Newline newline
30616 \begin_inset Phantom HPhantom
30619 \begin_layout Plain Layout
30620 \begin_inset space ~
30637 \begin_inset Formula $\boldsymbol{|}$
30645 \begin_inset Formula $\boldsymbol{|}$
30653 \begin_inset Note Note
30656 \begin_layout Plain Layout
30657 このマクロは,テスト用に\SpecialChar LaTeX
30658 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.
30666 \begin_layout Standard
30671 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.
30674 \begin_layout Standard
30675 \begin_inset VSpace bigskip
30678 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
30685 \begin_inset Index idx
30690 \begin_layout Plain Layout
30699 \begin_inset Formula
30701 A+B=C\tag{何とかかんとか}\label{eq:tag}
30711 \begin_inset space \textvisiblespace{}
30716 というコマンドを数式に打ち込んでいます.
30719 \begin_layout Standard
30725 \begin_inset space \textvisiblespace{}
30730 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.
30731 \begin_inset Formula
30733 A+B=C\tag*{something}
30741 \begin_layout Standard
30742 \begin_inset VSpace bigskip
30745 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
30746 \begin_inset Newline newline
30753 @addtoreset{equation}{part}
30756 \begin_inset Index idx
30761 \begin_layout Plain Layout
30770 \begin_layout Plain Layout
30781 \begin_layout Plain Layout
30794 \begin_inset Newline newline
30798 \begin_inset Newline newline
30805 @addtoreset{equation}{section}
30806 \begin_inset Newline newline
30814 \begin_layout Standard
30815 これらのコマンドを\SpecialChar TeX
30822 コマンドで「@」字を\SpecialChar LaTeX
30823 中で「有効」にしてやらなくてはなりません.一方,
30829 コマンドはこれを無効にします.したがって,\SpecialChar TeX
30833 \begin_layout Standard
30839 \begin_inset Newline newline
30844 @addtoreset{equation}{section}
30845 \begin_inset Newline newline
30851 \begin_inset Newline newline
30859 \begin_layout Standard
30874 が内部的に自動で挿入するので省略してかまいません.
30877 \begin_layout Standard
30884 を戻すには,まず\SpecialChar LaTeX
30888 \begin_layout Standard
30893 usepackage{remreset}
30896 \begin_layout Standard
30905 \begin_layout Plain Layout
30910 は,\SpecialChar LaTeX
30916 \begin_inset Index idx
30921 \begin_layout Plain Layout
30922 ぱっけーじ@パッケージ ! carlisle
30927 の一部として含まれており,\SpecialChar LaTeX
30934 \begin_inset Index idx
30939 \begin_layout Plain Layout
30940 ぱっけーじ@パッケージ ! remreset
30945 ファイルを読み込んでおかなくてはなりません.その後
30946 \begin_inset Newline newline
30956 \begin_inset Index idx
30961 \begin_layout Plain Layout
30970 \begin_layout Plain Layout
30981 \begin_layout Plain Layout
31008 \begin_layout Standard
31009 \begin_inset VSpace bigskip
31015 \begin_layout Standard
31021 \begin_layout Standard
31022 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.
31025 \begin_layout Standard
31033 \begin_inset Index idx
31038 \begin_layout Plain Layout
31049 \begin_layout Standard
31054 numberwithin{カウンタ}{節階層}
31057 \begin_layout Standard
31058 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.
31061 \begin_layout Standard
31062 したがって,ここでは\SpecialChar LaTeX
31063 プリアンブルか\SpecialChar TeX
31067 \begin_layout Standard
31072 numberwithin{equation}{section}
31075 \begin_layout Standard
31076 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.
31080 \begin_layout Plain Layout
31084 numberwithin{equation}{section}
31090 \begin_inset Formula
31100 \begin_layout Standard
31101 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
31102 \begin_inset Newline newline
31109 numberwithin{table}{part}
31114 \begin_layout Standard
31115 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,
31118 \begin_layout Standard
31128 \begin_inset Index idx
31133 \begin_layout Plain Layout
31147 \begin_layout Plain Layout
31163 \begin_inset Newline newline
31171 \begin_inset Newline newline
31183 \begin_layout Standard
31184 というコマンドを\SpecialChar TeX
31185 コードとして入れるか,\SpecialChar LaTeX
31198 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.
31202 \begin_layout Plain Layout
31209 \begin_layout Plain Layout
31213 @removefromreset{equation}{section}
31216 \begin_layout Plain Layout
31228 \begin_layout Section
31230 \begin_inset CommandInset label
31232 name "subsec:化学記号と化学式"
31237 \begin_inset Index idx
31242 \begin_layout Plain Layout
31243 かがくきごう@化学記号 ! きごう@記号
31249 \begin_inset Index idx
31254 \begin_layout Plain Layout
31261 \begin_inset Index idx
31266 \begin_layout Plain Layout
31275 \begin_layout Standard
31279 \begin_layout Quote
31280 \begin_inset Formula $\mathrm{SO_{4}^{2-}}$
31284 \begin_inset Formula $\mathrm{Na^{+}}$
31288 \begin_inset Formula $\left(\mathrm{Na_{2}SO_{4}}\right)$
31291 を形成します.この化学式は以下のようになります.
31292 \begin_inset Formula
31294 \mathrm{2\,Na^{+}+SO_{4}^{2-}\longrightarrow Na_{2}SO_{4}}\label{eq:chem-reaction}
31302 \begin_layout Standard
31303 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
31304 \begin_inset Flex Ruby
31307 \begin_layout Plain Layout
31309 \begin_inset Argument post:1
31312 \begin_layout Plain Layout
31329 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
31333 \begin_layout Plain Layout
31335 \begin_inset CommandInset ref
31337 reference "subsec:書体様式"
31349 \begin_layout Standard
31350 化学式を組版するのにもう少し便利な方法は,\SpecialChar LaTeX
31356 \begin_inset Index idx
31361 \begin_layout Plain Layout
31362 ぱっけーじ@パッケージ ! mhchem
31367 が導入されているときに使用することができる
31374 \begin_inset Index idx
31379 \begin_layout Plain Layout
31393 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.
31396 \begin_layout Standard
31398 \begin_inset Tabular
31399 <lyxtabular version="3" rows="10" columns="2">
31400 <features booktabs="true" tabularvalignment="middle">
31401 <column alignment="center" valignment="top" width="0pt">
31402 <column alignment="center" valignment="top">
31404 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
31407 \begin_layout Plain Layout
31413 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
31416 \begin_layout Plain Layout
31424 <cell alignment="center" valignment="top" leftline="true" usebox="none">
31427 \begin_layout Plain Layout
31431 \begin_inset space \textvisiblespace{}
31439 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
31442 \begin_layout Plain Layout
31443 \begin_inset Formula $\ce{H2CO3}$
31452 <row topspace="1.5mm">
31453 <cell alignment="center" valignment="top" usebox="none">
31456 \begin_layout Plain Layout
31460 \begin_inset space \textvisiblespace{}
31468 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
31471 \begin_layout Plain Layout
31472 \begin_inset Formula $\ce{SO4^{2-}}$
31481 <row topspace="1.5mm">
31482 <cell alignment="center" valignment="top" usebox="none">
31485 \begin_layout Plain Layout
31489 \begin_inset space \textvisiblespace{}
31497 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
31500 \begin_layout Plain Layout
31501 \begin_inset Formula $\ce{(NH4)2S}$
31510 <row topspace="1.5mm">
31511 <cell alignment="center" valignment="top" usebox="none">
31514 \begin_layout Plain Layout
31518 \begin_inset space \textvisiblespace{}
31526 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
31529 \begin_layout Plain Layout
31530 \begin_inset Formula $\ce{KCr(SO4)2.12H2O}$
31539 <row topspace="1.5mm">
31540 <cell alignment="center" valignment="top" usebox="none">
31543 \begin_layout Plain Layout
31547 \begin_inset space \textvisiblespace{}
31553 \begin_inset space \textvisiblespace{}
31559 \begin_inset space \textvisiblespace{}
31567 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
31570 \begin_layout Plain Layout
31571 \begin_inset Formula $\ce{A-B\dbond C\tbond D}$
31580 <row topspace="1.5mm">
31581 <cell alignment="center" valignment="top" usebox="none">
31584 \begin_layout Plain Layout
31588 \begin_inset space \textvisiblespace{}
31592 \begin_inset Formula $\downarrow$
31596 \begin_inset Formula $\to$
31604 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
31607 \begin_layout Plain Layout
31608 \begin_inset Formula $\ce{_{90}^{227}Th+}$
31618 <cell alignment="center" valignment="top" leftline="true" usebox="none">
31621 \begin_layout Plain Layout
31625 \begin_inset space \textvisiblespace{}
31631 \begin_inset space \textvisiblespace{}
31637 \begin_inset space \textvisiblespace{}
31645 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
31648 \begin_layout Plain Layout
31649 \begin_inset Formula $\ce{\ensuremath{\mu\hyphen}Cl}$
31659 <cell alignment="center" valignment="top" topline="true" leftline="true" usebox="none">
31662 \begin_layout Plain Layout
31666 \begin_inset space \textvisiblespace{}
31670 \begin_inset space \textvisiblespace{}
31674 \begin_inset space \textvisiblespace{}
31678 \begin_inset space \textvisiblespace{}
31682 \begin_inset space \textvisiblespace{}
31690 <cell alignment="center" valignment="top" topline="true" leftline="true" rightline="true" usebox="none">
31693 \begin_layout Plain Layout
31694 \begin_inset Formula $\ce{CO2 + C <=> 2CO}$
31703 <row topspace="1.5mm">
31704 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
31707 \begin_layout Plain Layout
31711 \begin_inset space \textvisiblespace{}
31715 \begin_inset space \textvisiblespace{}
31719 \begin_inset space \textvisiblespace{}
31723 \begin_inset space \textvisiblespace{}
31731 \begin_inset space \textvisiblespace{}
31739 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
31742 \begin_layout Plain Layout
31743 \begin_inset Formula $\ce{CO2 + C ->[\alpha][\beta] 2CO}$
31759 \begin_layout Standard
31760 \begin_inset Note Greyedout
31763 \begin_layout Plain Layout
31773 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
31780 \begin_inset Formula $\ce{Fe + 2H+ -> Fe^{2+} + H2\negthinspace\uparrow}$
31791 \begin_layout Standard
31799 \begin_inset CommandInset ref
31801 reference "eq:chem-reaction"
31806 \begin_inset Newline newline
31814 \begin_inset space \textvisiblespace{}
31818 \begin_inset space \textvisiblespace{}
31822 \begin_inset space \textvisiblespace{}
31826 \begin_inset space \textvisiblespace{}
31830 \begin_inset space \textvisiblespace{}
31834 \begin_inset space \textvisiblespace{}
31838 \begin_inset Newline newline
31846 \begin_layout Standard
31848 \begin_inset CommandInset ref
31850 reference "sec:多行数式"
31854 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
31861 \begin_inset CommandInset ref
31863 reference "eq:TEOS-reaction-1"
31868 \begin_inset CommandInset ref
31870 reference "eq:TEOS-reaction-2"
31874 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.
31875 \begin_inset Formula
31877 \ce{TEOS + 4O} & \ce{->} & \ce{Si(OH)4 + 4C2H4O}\label{eq:TEOS-reaction-1}\\
31878 \ce{Si(OH)4} & \ce{->} & \ce{SiO2 + 2H2O}\label{eq:TEOS-reaction-2}
31886 \begin_layout Standard
31904 \begin_inset Index idx
31909 \begin_layout Plain Layout
31928 \begin_inset CommandInset citation
31938 \begin_layout Section
31942 \begin_layout Standard
31952 をサポートしており,以下でこれらの説明をします.
31955 \begin_layout Subsection
31957 \begin_inset Index idx
31962 \begin_layout Plain Layout
31971 \begin_layout Standard
31972 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.
31973 \begin_inset Formula
31975 \begin{CD}A@>>>B@>>>C\\
31986 \begin_layout Standard
31992 \begin_inset Index idx
31997 \begin_layout Plain Layout
32007 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.
32010 arg "newline-insert newline"
32013 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.
32016 \begin_layout Standard
32017 関係を作るには,以下のコマンドがあります.
32020 \begin_layout Itemize
32021 \begin_inset Formula $\boldsymbol{@<<<}$
32025 \begin_inset Formula $\boldsymbol{@>>>}$
32035 \begin_layout Itemize
32045 \begin_inset Formula $\boldsymbol{@|}$
32051 \begin_layout Itemize
32059 \begin_layout Standard
32060 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.
32063 \begin_layout Itemize
32065 \begin_inset Formula $<$
32069 \begin_inset Formula $>$
32072 」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「
32073 \begin_inset Formula $<$
32077 \begin_inset Formula $>$
32080 」のあいだに入れると,矢印の下に表示されます.
32083 \begin_layout Itemize
32084 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
32085 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
32089 \begin_layout Standard
32090 以下は,上記のすべての関係を使った例です.
32093 \begin_layout Standard
32094 \begin_inset Formula
32096 \begin{CD}A@>j>>B@>>k>C@=F\\
32107 \begin_layout Standard
32108 これを作るコマンドは,以下のとおりです.
32109 \begin_inset Newline newline
32117 \begin_inset space \textvisiblespace{}
32121 \begin_inset Formula $\boldsymbol{@>}$
32125 \begin_inset Formula $\boldsymbol{>>}$
32129 \begin_inset Formula $\boldsymbol{@>>}$
32133 \begin_inset Formula $\boldsymbol{>}$
32137 \begin_inset Newline newline
32141 \begin_inset Phantom HPhantom
32144 \begin_layout Plain Layout
32150 \begin_inset space \textvisiblespace{}
32163 \begin_inset Formula $\to$
32169 \begin_inset Formula $\boldsymbol{@|}$
32173 \begin_inset Newline newline
32177 \begin_inset Phantom HPhantom
32180 \begin_layout Plain Layout
32186 \begin_inset space \textvisiblespace{}
32195 \begin_inset Formula $\boldsymbol{@<<}$
32199 \begin_inset Formula $\boldsymbol{<}$
32203 \begin_inset Formula $\boldsymbol{@>}$
32207 \begin_inset Formula $\boldsymbol{>>}$
32213 \begin_layout Subsection
32215 \begin_inset Index idx
32220 \begin_layout Plain Layout
32229 \begin_layout Standard
32230 xymatricesを使うには,\SpecialChar LaTeX
32235 が導入済みである必要があります.xymatrixは,数式中に
32241 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
32242 \begin_inset CommandInset ref
32251 \begin_layout Standard
32252 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,
32254 ヘルプ\SpecialChar menuseparator
32255 用途別説明書\SpecialChar menuseparator
32265 \begin_layout Subsection
32269 \begin_inset Index idx
32274 \begin_layout Plain Layout
32283 \begin_layout Standard
32284 ファインマン図を使うには,\SpecialChar LaTeX
32289 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
32295 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
32296 \begin_inset CommandInset ref
32305 \begin_layout Standard
32307 でのファインマン図の作り方は,メニュー
32309 ヘルプ\SpecialChar menuseparator
32319 \begin_layout Section
32321 \begin_inset Index idx
32326 \begin_layout Plain Layout
32335 \begin_layout Standard
32336 \begin_inset Note Greyedout
32339 \begin_layout Plain Layout
32340 【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.
32348 \begin_layout Subsection
32352 \begin_inset CommandInset label
32354 name "subsec:newcommandコマンド"
32359 \begin_inset Index idx
32364 \begin_layout Plain Layout
32365 じこていぎこまんど@自己定義コマンド !
32373 \begin_inset Index idx
32378 \begin_layout Plain Layout
32389 \begin_layout Standard
32390 頻繁に用いるには,長すぎる\SpecialChar LaTeX
32397 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.
32400 \begin_layout Standard
32410 \begin_layout Standard
32415 newcommand{新コマンド名}[引数の数][オプションの値]
32416 \begin_inset Newline newline
32420 \begin_inset Phantom HPhantom
32423 \begin_layout Plain Layout
32436 \begin_layout Standard
32440 \begin_layout Standard
32441 \begin_inset Note Greyedout
32444 \begin_layout Plain Layout
32449 新コマンド名が,使用中の文書や呼び出している\SpecialChar LaTeX
32450 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,
32469 \begin_inset Formula $\le$
32472 」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.
32480 \begin_layout Standard
32482 \begin_inset space \thinspace{}
32486 \begin_inset space \thinspace{}
32489 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
32494 引数は,自動的に非必須の引数になります.
32497 \begin_layout Standard
32501 \begin_layout Itemize
32514 というコマンドを定義するには,\SpecialChar LaTeX
32516 \begin_inset VSpace medskip
32520 \begin_inset Newline newline
32534 \begin_layout Itemize
32547 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.
32548 \begin_inset VSpace medskip
32552 \begin_inset Newline newline
32566 \begin_inset VSpace medskip
32570 \begin_inset Newline newline
32577 」という文字は,引数の入る場所を示し,その後ろの「
32581 」は,これが第1引数の入る場所であることを示します.
32584 \begin_layout Itemize
32598 \begin_inset VSpace medskip
32602 \begin_inset Newline newline
32613 framebox#1#2{$#3$}}
32616 \begin_inset VSpace medskip
32620 \begin_inset Newline newline
32629 が必要とする内部の数式を作り出します.第
32630 \begin_inset CommandInset ref
32632 reference "subsec:枠付きボックス"
32639 \begin_layout Itemize
32646 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.
32647 \begin_inset VSpace medskip
32651 \begin_inset Newline newline
32662 fcolorbox{#2}{#1}{$#3$}}
32665 \begin_inset VSpace medskip
32669 \begin_inset Newline newline
32678 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
32685 \begin_layout Standard
32686 以下は,上で定義したコマンドの動作テストです.
32689 \begin_layout Standard
32691 \begin_inset Tabular
32692 <lyxtabular version="3" rows="6" columns="2">
32693 <features booktabs="true" tabularvalignment="middle">
32694 <column alignment="center" valignment="top" width="0pt">
32695 <column alignment="center" valignment="top">
32697 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
32700 \begin_layout Plain Layout
32706 <cell alignment="center" valignment="top" topline="true" bottomline="true" leftline="true" rightline="true" usebox="none">
32709 \begin_layout Plain Layout
32717 <cell alignment="center" valignment="top" leftline="true" usebox="none">
32720 \begin_layout Plain Layout
32724 \begin_inset space \textvisiblespace{}
32732 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
32735 \begin_layout Plain Layout
32736 \begin_inset Formula $A\gr B$
32746 <cell alignment="center" valignment="top" leftline="true" usebox="none">
32749 \begin_layout Plain Layout
32757 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
32760 \begin_layout Plain Layout
32761 \begin_inset Formula $\us{ABcd}$
32770 <row topspace="1mm">
32771 <cell alignment="center" valignment="top" usebox="none">
32774 \begin_layout Plain Layout
32778 \begin_inset Formula $\to$
32784 \begin_inset Formula $\to$
32792 \begin_inset space \textvisiblespace{}
32800 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
32803 \begin_layout Plain Layout
32804 \begin_inset Formula $\fb{[2cm]}{}{\int A=B}$
32813 <row topspace="1.5mm">
32814 <cell alignment="center" valignment="top" usebox="none">
32817 \begin_layout Plain Layout
32821 \begin_inset Formula $\to$
32829 \begin_inset space \textvisiblespace{}
32837 <cell alignment="center" valignment="top" leftline="true" rightline="true" usebox="none">
32840 \begin_layout Plain Layout
32841 \begin_inset Formula $\cb{red}{\int A=B}$
32850 <row topspace="1.5mm" bottomspace="1mm">
32851 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
32854 \begin_layout Plain Layout
32860 \begin_inset Formula $\to$
32868 \begin_inset space \textvisiblespace{}
32876 <cell alignment="center" valignment="top" bottomline="true" leftline="true" rightline="true" usebox="none">
32879 \begin_layout Plain Layout
32880 \begin_inset Formula $\cb[green]{red}{\int A=B}$
32896 \begin_layout Subsection
32898 \begin_inset Index idx
32903 \begin_layout Plain Layout
32904 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
32910 \begin_inset Index idx
32915 \begin_layout Plain Layout
32924 \begin_layout Standard
32925 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
32927 \begin_inset Formula
32929 0=\lambda^{2}+p\lambda+q
32935 \begin_inset Formula
32937 \lambda_{1,2}=-\frac{p}{2}\pm\sqrt{\frac{p²}{4}-q}
32945 \begin_layout Standard
32947 \begin_inset Formula $\lambda$
32951 \begin_inset Formula $p$
32955 \begin_inset Formula $q$
32958 の3つのパラメータを指定することが必須であり,
32959 \begin_inset Formula $\lambda$
32962 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
32964 \begin_inset Newline newline
32980 \begin_inset Newline newline
32984 \begin_inset Phantom HPhantom
32987 \begin_layout Plain Layout
33001 frac{#3^{2}}{4}-#4}}
33004 \begin_layout Standard
33006 \begin_inset Newline newline
33016 \begin_inset Formula $\to$
33022 \begin_inset Formula $\to$
33032 \begin_layout Standard
33033 新コマンドを定義する方法は,たとえば\SpecialChar LaTeX
33040 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
33041 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
33042 あり,それをやってしまうと,\SpecialChar LyX
33043 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
33050 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.
33053 \begin_layout Standard
33056 挿入\SpecialChar menuseparator
33057 数式\SpecialChar menuseparator
33063 arg "math-macro newmacroname_newcommand"
33066 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.
33067 \begin_inset Newline newline
33071 \begin_inset space \hspace*{\fill}
33075 \begin_inset Graphics
33076 filename clipart/macrobox.png
33082 \begin_inset space \hspace*{\fill}
33086 \begin_inset Newline newline
33090 \begin_inset FormulaMacro
33091 \newcommand{\qG}[4][1,\,2]{#2_{#1}=-\frac{#3}{2}\pm\sqrt{\frac{#3^{2}}{4}-#4}}
33096 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,
33108 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
33111 arg "math-macro-add-param"
33114 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
33117 arg "math-macro-add-optional-param"
33120 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
33123 arg "math-macro-make-optional"
33126 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
33127 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
33128 ,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
33129 \begin_inset Newline newline
33159 \begin_inset Newline newline
33164 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
33165 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
33167 \begin_inset Newline newline
33170 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,
33172 表示\SpecialChar menuseparator
33175 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.
33178 \begin_layout Standard
33179 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,
33185 とします.このマクロは,\SpecialChar LyX
33187 \begin_inset Newline newline
33191 \begin_inset space \hspace*{\fill}
33195 \begin_inset Graphics
33196 filename ../clipart/macrouse.png
33202 \begin_inset space \hspace*{\fill}
33206 \begin_inset Newline newline
33210 \begin_inset Formula $x$
33214 \begin_inset Formula $\ln(x)$
33218 \begin_inset Formula $B$
33224 \begin_layout Standard
33225 \begin_inset Formula
33235 \begin_layout Standard
33239 ツール\SpecialChar menuseparator
33240 設定\SpecialChar menuseparator
33241 編集\SpecialChar menuseparator
33244 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
33248 \begin_layout Standard
33249 数式マクロは,文書書き出し時に,内部的に
33255 コマンドに変換されます.こうして生成された
33261 コマンドは,\SpecialChar LaTeX
33262 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.
33265 \begin_layout Standard
33272 コマンドから直接作ることもできます.たとえば,\SpecialChar LyX
33276 \begin_inset Newline newline
33285 xleftarrow[#2]{#1}}
33286 \begin_inset Newline newline
33291 というコマンドを書き入れ,この全体を選択して,
33292 \begin_inset Flex Ruby
33295 \begin_layout Plain Layout
33297 \begin_inset Argument post:1
33300 \begin_layout Plain Layout
33315 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,
33321 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
33325 \begin_layout Standard
33326 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
33327 \begin_inset CommandInset ref
33329 reference "subsec:newcommandコマンド"
33339 は,マクロとしては作ることができません.
33342 \begin_layout Standard
33343 カーソルがマクロ定義ボックスの中にあるとき,\SpecialChar LyX
33344 中に以下のようなマクロツールバーが表示されます.
33347 \begin_layout Standard
33348 \begin_inset VSpace defskip
33354 \begin_layout Standard
33355 \begin_inset Graphics
33356 filename ../clipart/MacroToolbar.png
33361 \begin_inset Index idx
33366 \begin_layout Plain Layout
33367 まくろ@マクロ ! つーるばー@ツールバー
33375 \begin_layout Standard
33376 \begin_inset VSpace defskip
33382 \begin_layout Standard
33383 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.
33386 \begin_layout Standard
33387 \begin_inset VSpace defskip
33393 \begin_layout Standard
33394 \begin_inset Tabular
33395 <lyxtabular version="3" rows="9" columns="2">
33396 <features islongtable="true" longtabularalignment="center">
33397 <column alignment="left" valignment="top">
33398 <column alignment="left" valignment="top" width="85col%">
33399 <row interlinespace="2.5mm">
33400 <cell alignment="center" valignment="top" usebox="none">
33403 \begin_layout Plain Layout
33406 arg "math-macro-remove-param"
33414 <cell alignment="center" valignment="top" usebox="none">
33417 \begin_layout Plain Layout
33420 編集\SpecialChar menuseparator
33421 数式\SpecialChar menuseparator
33422 マクロ定義\SpecialChar menuseparator
33429 <row interlinespace="2.5mm">
33430 <cell alignment="center" valignment="top" usebox="none">
33433 \begin_layout Plain Layout
33436 arg "math-macro-add-param"
33444 <cell alignment="center" valignment="top" usebox="none">
33447 \begin_layout Plain Layout
33450 編集\SpecialChar menuseparator
33451 数式\SpecialChar menuseparator
33452 マクロ定義\SpecialChar menuseparator
33459 <row interlinespace="2.5mm">
33460 <cell alignment="center" valignment="top" usebox="none">
33463 \begin_layout Plain Layout
33466 arg "math-macro-make-optional"
33474 <cell alignment="center" valignment="top" usebox="none">
33477 \begin_layout Plain Layout
33480 編集\SpecialChar menuseparator
33481 数式\SpecialChar menuseparator
33482 マクロ定義\SpecialChar menuseparator
33484 \begin_inset Newline newline
33488 \begin_inset Phantom HPhantom
33491 \begin_layout Plain Layout
33494 編集\SpecialChar menuseparator
33495 数式\SpecialChar menuseparator
33496 マクロ定義\SpecialChar menuseparator
33508 <row interlinespace="2.5mm">
33509 <cell alignment="center" valignment="top" usebox="none">
33512 \begin_layout Plain Layout
33515 arg "math-macro-make-nonoptional"
33523 <cell alignment="center" valignment="top" usebox="none">
33526 \begin_layout Plain Layout
33529 編集\SpecialChar menuseparator
33530 数式\SpecialChar menuseparator
33531 マクロ定義\SpecialChar menuseparator
33533 \begin_inset Newline newline
33537 \begin_inset Phantom HPhantom
33540 \begin_layout Plain Layout
33543 編集\SpecialChar menuseparator
33544 数式\SpecialChar menuseparator
33545 マクロ定義\SpecialChar menuseparator
33557 <row interlinespace="2.5mm">
33558 <cell alignment="center" valignment="top" usebox="none">
33561 \begin_layout Plain Layout
33564 arg "math-macro-remove-optional-param"
33572 <cell alignment="center" valignment="top" usebox="none">
33575 \begin_layout Plain Layout
33578 編集\SpecialChar menuseparator
33579 数式\SpecialChar menuseparator
33580 マクロ定義\SpecialChar menuseparator
33587 <row interlinespace="2.5mm">
33588 <cell alignment="center" valignment="top" usebox="none">
33591 \begin_layout Plain Layout
33594 arg "math-macro-add-optional-param"
33602 <cell alignment="center" valignment="top" usebox="none">
33605 \begin_layout Plain Layout
33608 編集\SpecialChar menuseparator
33609 数式\SpecialChar menuseparator
33610 マクロ定義\SpecialChar menuseparator
33617 <row interlinespace="2.5mm">
33618 <cell alignment="center" valignment="top" usebox="none">
33621 \begin_layout Plain Layout
33624 arg "math-macro-remove-greedy-param"
33632 <cell alignment="center" valignment="top" usebox="none">
33635 \begin_layout Plain Layout
33638 編集\SpecialChar menuseparator
33639 数式\SpecialChar menuseparator
33640 マクロ定義\SpecialChar menuseparator
33642 \begin_inset Newline newline
33646 \begin_inset Phantom HPhantom
33649 \begin_layout Plain Layout
33652 編集\SpecialChar menuseparator
33653 数式\SpecialChar menuseparator
33654 マクロ定義\SpecialChar menuseparator
33666 <row interlinespace="2.5mm">
33667 <cell alignment="center" valignment="top" usebox="none">
33670 \begin_layout Plain Layout
33673 arg "math-macro-append-greedy-param"
33681 <cell alignment="center" valignment="top" usebox="none">
33684 \begin_layout Plain Layout
33687 編集\SpecialChar menuseparator
33688 数式\SpecialChar menuseparator
33689 マクロ定義\SpecialChar menuseparator
33691 \begin_inset Newline newline
33695 \begin_inset Phantom HPhantom
33698 \begin_layout Plain Layout
33701 編集\SpecialChar menuseparator
33702 数式\SpecialChar menuseparator
33703 マクロ定義\SpecialChar menuseparator
33715 <row interlinespace="2.5mm">
33716 <cell alignment="center" valignment="top" usebox="none">
33719 \begin_layout Plain Layout
33722 arg "math-macro-add-greedy-optional-param"
33730 <cell alignment="center" valignment="top" usebox="none">
33733 \begin_layout Plain Layout
33736 編集\SpecialChar menuseparator
33737 数式\SpecialChar menuseparator
33738 マクロ定義\SpecialChar menuseparator
33740 \begin_inset Newline newline
33744 \begin_inset Phantom HPhantom
33747 \begin_layout Plain Layout
33750 編集\SpecialChar menuseparator
33751 数式\SpecialChar menuseparator
33752 マクロ定義\SpecialChar menuseparator
33771 \begin_layout Section
33775 \begin_layout Standard
33777 では,\SpecialChar LyX
33778 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,
33794 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.
33797 \begin_layout Subsection
33801 \begin_layout Standard
33804 編集\SpecialChar menuseparator
33805 数式\SpecialChar menuseparator
33808 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.
33811 \begin_layout Standard
33812 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
33819 \begin_layout Itemize
33820 \begin_inset Formula $\frac{37}{3}*2-\sum_{i=1}^{3}i^{i}=-\frac{22}{3}$
33826 \begin_layout Itemize
33827 \begin_inset Formula $\frac{37.0}{3}=12.33333333333333$
33833 \begin_layout Itemize
33834 \begin_inset Formula $\int_{1}^{2}\sin(x)dx=\cos1-\cos2$
33840 \begin_layout Itemize
33841 \begin_inset Formula $\int\left(\frac{1}{1+x^{3}}\right)dx=-\frac{\log\left(x^{2}-x+1\right)}{6}+\frac{\arctan\left(\frac{2\,x-1}{\sqrt{3}}\right)}{\sqrt{3}}+\frac{\log\left(x+1\right)}{3}$
33845 \begin_inset Newline newline
33849 \begin_inset Note Greyedout
33852 \begin_layout Plain Layout
33857 単純な「(」「)」文字ではなく,適切な区切り差込枠
33858 \begin_inset Formula $\left(\right)$
33869 \begin_layout Itemize
33870 \begin_inset Formula $\det\left[\begin{array}{ccc}
33874 \end{array}\right]=-56$
33880 \begin_layout Itemize
33881 \begin_inset Formula $\lim_{x\rightarrow0}\left(\frac{\sin(x)}{x}\right)=1$
33887 \begin_layout Itemize
33888 \begin_inset Formula $powerseries\left(-\log\left(5-x\right),x,1\right)=\sum_{{\mathit{i}_{2}}=0}^{\infty}{\frac{4^{-{\mathit{i}_{2}}-1}\,\left(x-1\right)^{{\mathit{i}_{2}}+1}}{{\mathit{i}_{2}}+1}}-\log4$
33894 \begin_layout Itemize
33895 \begin_inset Formula $solve\left(x_{1}+y_{1}^{3}=y_{1}+x_{1}^{2},x_{1}\right)=\left[x_{1}=-\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}-1}{2},x_{1}=\frac{\sqrt{4\,y_{1}^{3}-4\,y_{1}+1}+1}{2}\right]$
33901 \begin_layout Subsection
33905 \begin_layout Standard
33906 現在のところ,代数プログラムを呼び出すための
33907 \begin_inset Flex Ruby
33910 \begin_layout Plain Layout
33912 \begin_inset Argument post:1
33915 \begin_layout Plain Layout
33931 関数にバインドすることは容易です(取扱説明書『
33943 \begin_inset Flex Ruby
33946 \begin_layout Plain Layout
33948 \begin_inset Argument post:1
33951 \begin_layout Plain Layout
33962 をバインドさせることもできます.それを
33966 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.
33969 \begin_layout Standard
33972 command-alternatives paragraph-break;math-extern maxima
33975 \begin_layout Section
33977 \begin_inset Index idx
33982 \begin_layout Plain Layout
33991 \begin_layout Subsection
33993 \begin_inset Index idx
33998 \begin_layout Plain Layout
34007 \begin_layout Standard
34008 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
34012 \begin_layout Standard
34013 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.
34016 \begin_layout Standard
34020 \begin_layout Standard
34022 \begin_inset Tabular
34023 <lyxtabular version="3" rows="3" columns="2">
34024 <features booktabs="true" tabularvalignment="middle">
34025 <column alignment="right" valignment="top" width="0pt">
34026 <column alignment="left" valignment="top">
34028 <cell alignment="right" valignment="top" topline="true" leftline="true" usebox="none">
34031 \begin_layout Plain Layout
34037 <cell alignment="center" valignment="top" topline="true" rightline="true" usebox="none">
34040 \begin_layout Plain Layout
34048 <cell alignment="right" valignment="top" leftline="true" usebox="none">
34051 \begin_layout Plain Layout
34057 <cell alignment="center" valignment="top" rightline="true" usebox="none">
34060 \begin_layout Plain Layout
34061 \begin_inset Formula $x=-2$
34071 <cell alignment="right" valignment="top" topline="true" bottomline="true" leftline="true" usebox="none">
34074 \begin_layout Plain Layout
34080 <cell alignment="center" valignment="top" topline="true" bottomline="true" rightline="true" usebox="none">
34083 \begin_layout Plain Layout
34084 \begin_inset Formula $x=\textrm{-}2$
34100 \begin_layout Subsection
34102 \begin_inset Index idx
34107 \begin_layout Plain Layout
34114 \begin_inset Index idx
34119 \begin_layout Plain Layout
34124 \begin_layout Plain Layout
34135 \begin_layout Plain Layout
34150 \begin_layout Standard
34152 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.
34155 \begin_layout Standard
34156 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(
34157 \begin_inset Flex Ruby
34160 \begin_layout Plain Layout
34162 \begin_inset Argument post:1
34165 \begin_layout Plain Layout
34185 \begin_layout Standard
34186 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
34190 \begin_layout Standard
34198 \begin_layout Standard
34207 \begin_layout Plain Layout
34212 は,\SpecialChar LaTeX
34218 \begin_inset Index idx
34223 \begin_layout Plain Layout
34228 \begin_layout Plain Layout
34248 \begin_inset Index idx
34253 \begin_layout Plain Layout
34254 ぱっけーじ@パッケージ ! icomma
34262 \begin_layout Subsection
34264 \begin_inset CommandInset label
34266 name "subsec:物理ベクトル"
34271 \begin_inset Index idx
34276 \begin_layout Plain Layout
34278 \begin_inset space \thinspace{}
34289 \begin_layout Standard
34299 \begin_layout Plain Layout
34304 は標準的\SpecialChar LaTeX
34311 \begin_inset Index idx
34316 \begin_layout Plain Layout
34317 ぱっけーじ@パッケージ ! braket
34322 には,定義済みのベクトルが提供されており,
34325 \begin_layout Standard
34333 \begin_layout Standard
34334 という\SpecialChar LaTeX
34335 プリアンブル行で読み込むことができます.
34338 \begin_layout Standard
34342 \begin_layout Plain Layout
34352 \begin_inset Note Note
34355 \begin_layout Plain Layout
34361 パッケージが導入済みのときのみ表示されます.
34369 \begin_layout Standard
34371 \begin_inset Tabular
34372 <lyxtabular version="3" rows="4" columns="2">
34373 <features booktabs="true" tabularvalignment="middle">
34374 <column alignment="center" valignment="top" width="0pt">
34375 <column alignment="center" valignment="top">
34377 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34380 \begin_layout Plain Layout
34386 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34389 \begin_layout Plain Layout
34397 <cell alignment="center" valignment="top" usebox="none">
34400 \begin_layout Plain Layout
34410 <cell alignment="center" valignment="top" usebox="none">
34413 \begin_layout Plain Layout
34414 \begin_inset Formula $\Bra{\psi}$
34424 <cell alignment="center" valignment="top" usebox="none">
34427 \begin_layout Plain Layout
34437 <cell alignment="center" valignment="top" usebox="none">
34440 \begin_layout Plain Layout
34441 \begin_inset Formula $\Ket{\psi}$
34451 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
34454 \begin_layout Plain Layout
34466 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
34469 \begin_layout Plain Layout
34470 \begin_inset Formula $\Braket{\psi|\phi}$
34486 \begin_layout Standard
34493 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.
34494 \begin_inset Formula
34496 \Braket{\phi|J=\frac{3}{2}\,,\,M_{J}}
34505 \begin_layout Plain Layout
34515 \begin_inset Note Note
34518 \begin_layout Plain Layout
34524 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.
34532 \begin_layout Standard
34541 \begin_layout Standard
34545 \begin_layout Plain Layout
34557 \begin_layout Standard
34565 \begin_inset CommandInset ref
34567 reference "subsec:自動の括弧丈"
34577 コマンドを用いることによっても実現できます.
34580 \begin_layout Subsection
34582 \begin_inset CommandInset label
34584 name "subsec:自己定義の分数"
34589 \begin_inset Index idx
34594 \begin_layout Plain Layout
34595 ぶんすう@分数 ! じこていぎの@自己定義の
34603 \begin_layout Standard
34604 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
34611 \begin_inset Index idx
34616 \begin_layout Plain Layout
34627 \begin_layout Standard
34632 genfrac{左括弧}{右括弧}{分数線の厚み}{様式}
34633 \begin_inset Newline newline
34637 \begin_inset Phantom HPhantom
34640 \begin_layout Plain Layout
34653 \begin_layout Standard
34655 \begin_inset space \thinspace{}
34659 \begin_inset space \thinspace{}
34665 \begin_layout Standard
34667 \begin_inset Tabular
34668 <lyxtabular version="3" rows="5" columns="2">
34669 <features booktabs="true" tabularvalignment="middle">
34670 <column alignment="center" valignment="top" width="0pt">
34671 <column alignment="center" valignment="top">
34673 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34676 \begin_layout Plain Layout
34682 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34685 \begin_layout Plain Layout
34693 <cell alignment="center" valignment="top" usebox="none">
34696 \begin_layout Plain Layout
34702 <cell alignment="center" valignment="top" usebox="none">
34705 \begin_layout Plain Layout
34713 <cell alignment="center" valignment="top" usebox="none">
34716 \begin_layout Plain Layout
34722 <cell alignment="center" valignment="top" usebox="none">
34725 \begin_layout Plain Layout
34733 <cell alignment="center" valignment="top" usebox="none">
34736 \begin_layout Plain Layout
34742 <cell alignment="center" valignment="top" usebox="none">
34745 \begin_layout Plain Layout
34753 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
34756 \begin_layout Plain Layout
34762 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
34765 \begin_layout Plain Layout
34779 \begin_layout Standard
34786 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.
34789 \begin_layout Standard
34790 「分数線の厚み」を指定しないときには,既定値である0.4
34791 \begin_inset space \thinspace{}
34797 \begin_layout Standard
34798 \begin_inset VSpace medskip
34802 \begin_inset CommandInset ref
34804 reference "subsec:分数"
34823 \begin_layout Standard
34832 genfrac{}{}{}{0}{#1}{#2}}
34835 \begin_layout Standard
34839 \begin_layout Standard
34848 genfrac{(}{)}{0pt}{1}{#1}{#2}}
34851 \begin_layout Standard
34855 \begin_layout Standard
34856 \begin_inset VSpace medskip
34859 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
34863 \begin_layout Standard
34872 genfrac{}{}{#1}{}{#2}{#3}}
34875 \begin_layout Standard
34879 \begin_layout Standard
34881 \begin_inset Formula
34883 \text{コマンド} & & \mathrm{\backslash fracS[1mm]\backslash\{A\to\backslash\{B} & & \mathrm{\backslash fracS[5mm]\backslash\{A\to\backslash\{B}\\
34884 \text{出力} & & \fracS[1mm]{A}{B} & & \fracS[5mm]{A}{B}
34889 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.
34892 \begin_layout Subsection
34894 \begin_inset Index idx
34899 \begin_layout Plain Layout
34908 \begin_layout Standard
34909 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.
34912 \begin_layout Standard
34917 \begin_layout Plain Layout
34927 \begin_inset Note Note
34930 \begin_layout Plain Layout
34931 下記の表は,\SpecialChar LaTeX
34944 \begin_layout Standard
34946 \begin_inset Tabular
34947 <lyxtabular version="3" rows="5" columns="2">
34948 <features booktabs="true" tabularvalignment="middle">
34949 <column alignment="center" valignment="top" width="0pt">
34950 <column alignment="center" valignment="top">
34952 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34955 \begin_layout Plain Layout
34961 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
34964 \begin_layout Plain Layout
34972 <cell alignment="center" valignment="top" usebox="none">
34975 \begin_layout Plain Layout
34979 \begin_inset space \textvisiblespace{}
34985 \begin_inset space \textvisiblespace{}
34993 <cell alignment="center" valignment="top" usebox="none">
34996 \begin_layout Plain Layout
34997 \begin_inset Formula $\cancel{\int A=B}$
35006 <row topspace="1.5mm">
35007 <cell alignment="center" valignment="top" usebox="none">
35010 \begin_layout Plain Layout
35014 \begin_inset space \textvisiblespace{}
35020 \begin_inset space \textvisiblespace{}
35028 <cell alignment="center" valignment="top" usebox="none">
35031 \begin_layout Plain Layout
35032 \begin_inset Formula $\bcancel{\int A=B}$
35041 <row topspace="1.5mm">
35042 <cell alignment="center" valignment="top" usebox="none">
35045 \begin_layout Plain Layout
35049 \begin_inset space \textvisiblespace{}
35055 \begin_inset space \textvisiblespace{}
35063 <cell alignment="center" valignment="top" usebox="none">
35066 \begin_layout Plain Layout
35067 \begin_inset Formula $\xcancel{\int A=B}$
35077 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
35080 \begin_layout Plain Layout
35084 \begin_inset space \textvisiblespace{}
35090 \begin_inset space \textvisiblespace{}
35094 \begin_inset Formula $\to$
35102 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
35105 \begin_layout Plain Layout
35106 \begin_inset Formula $\cancelto{1}{\int A=B}\hspace{3mm}$
35122 \begin_layout Standard
35129 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.
35130 \begin_inset Formula
35132 \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}}}
35140 \begin_layout Standard
35147 の「下付き文字」寸法の大きさを変えるには,
35150 \begin_layout Standard
35155 PassOptionsToPackage{オプション}{cancel}
35158 \begin_layout Standard
35159 という行を\SpecialChar LaTeX
35160 プリアンブルに書き加えてください.ここで,
35168 にすると,取り消した部分と同じ寸法になり,
35172 にすると,通常よりも少し小さくなります.
35175 \begin_layout Standard
35176 取り消し線に色を付けるには,\SpecialChar TeX
35177 コードで以下のコマンドを書き加えてください.
35180 \begin_layout Standard
35192 \begin_layout Standard
35197 は,お好みの色に変更することができます.
35200 \begin_layout Standard
35204 \begin_layout Plain Layout
35220 \begin_layout Standard
35221 \begin_inset Formula
35223 \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}}}
35231 \begin_layout Standard
35235 \begin_layout Plain Layout
35249 \begin_inset Note Note
35252 \begin_layout Plain Layout
35261 \begin_layout Standard
35267 \begin_inset CommandInset citation
35275 \begin_inset Index idx
35280 \begin_layout Plain Layout
35281 ぱっけーじ@パッケージ ! cancel
35289 \begin_layout Standard
35293 \begin_layout Plain Layout
35303 \begin_inset Note Note
35306 \begin_layout Plain Layout
35307 下記の表は,\SpecialChar LaTeX
35320 \begin_layout Standard
35321 本小節の続きを見るには,\SpecialChar LaTeX
35329 \begin_layout Standard
35333 \begin_layout Plain Layout
35345 \begin_layout Subsection
35347 \begin_inset CommandInset label
35349 name "subsec:節見出し中の数式"
35354 \begin_inset Index idx
35359 \begin_layout Plain Layout
35360 すうしき@数式 ! せつみだしちゅうの@節見出し中の
35368 \begin_layout Standard
35369 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.
35372 \begin_layout Standard
35373 \begin_inset Note Greyedout
35376 \begin_layout Plain Layout
35386 \begin_inset Index idx
35391 \begin_layout Plain Layout
35392 ぱっけーじ@パッケージ ! hyperref
35397 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
35398 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.
35406 \begin_layout Standard
35409 挿入\SpecialChar menuseparator
35412 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
35413 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.
35416 \begin_layout Standard
35417 数式を目次中でも使わなくてもならないが,
35424 \begin_layout Standard
35429 texorpdfstring{部分}{代替文字列}
35430 \begin_inset Index idx
35435 \begin_layout Plain Layout
35446 \begin_layout Standard
35447 というコマンドを\SpecialChar TeX
35451 \begin_layout Standard
35452 「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
35456 \begin_layout Standard
35458 \begin_inset VSpace -3mm
35465 \begin_layout Plain Layout
35477 \begin_layout Subsubsection
35479 \begin_inset Formula $\sqrt{-1}=\mathrm{i}$
35483 \begin_inset Argument 1
35486 \begin_layout Plain Layout
35495 \begin_layout Subsubsection
35500 \begin_layout Plain Layout
35510 \begin_inset Formula $\sqrt{-1}=\mathrm{i}$
35517 \begin_layout Plain Layout
35527 \begin_layout Standard
35531 \begin_layout Plain Layout
35540 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
35549 \begin_layout Standard
35550 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
35558 \begin_layout Plain Layout
35560 \begin_inset CommandInset ref
35562 reference "subsec:ボールド体の数式"
35574 \begin_layout Subsection
35576 \begin_inset Index idx
35581 \begin_layout Plain Layout
35582 すうしき@数式 ! ただんくみぶんちゅうの@多段組文中の
35590 \begin_layout Standard
35591 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,
35599 \begin_layout Plain Layout
35604 は,標準的\SpecialChar LaTeX
35611 \begin_inset Index idx
35616 \begin_layout Plain Layout
35617 ぱっけーじ@パッケージ ! multicol
35626 \begin_layout Standard
35631 usepackage{multicol}
35634 \begin_layout Standard
35635 という\SpecialChar LaTeX
35636 プリアンブル行を書いて読み込むことで,実現できます.
35639 \begin_layout Standard
35640 \begin_inset Note Greyedout
35643 \begin_layout Plain Layout
35646 文書\SpecialChar menuseparator
35669 \begin_layout Standard
35673 \begin_layout Standard
35678 begin{multicols}{段数}
35681 \begin_layout Standard
35682 というコマンドを\SpecialChar TeX
35684 \begin_inset space \thinspace{}
35688 \begin_inset space \thinspace{}
35691 10のあいだの数字です.多段組文の終わる数式の前には,
35694 \begin_layout Standard
35702 \begin_layout Standard
35703 というコマンドを\SpecialChar TeX
35707 \begin_layout Standard
35708 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
35709 \begin_inset space \thinspace{}
35712 mmの垂直空白を入れて下さい.数式様式
35718 \begin_layout Plain Layout
35720 \begin_inset CommandInset ref
35722 reference "sec:数式様式"
35738 \begin_inset space \thinspace{}
35744 \begin_layout Standard
35745 以下は,別行立て数式を含む,多段組文の例です.
35748 \begin_layout Standard
35752 \begin_layout Plain Layout
35756 begin{multicols}{2}
35763 Das Spektrum wird fouriertransformiert.
35764 Die Fouriertransformation wird verwendet, um die überlagerten Signale
35765 (Netzwerk, Lösungsmittel) zu trennen.
35766 Nachdem wir die Phasenverschiebung bestimmen konnten, interessiert uns
35767 nun das Aussehen des Ausgangssignals.
35768 Im Experiment haben wir es mit sehr vielen Teilchen zu tun, so das man
35769 über alle Phasen integrieren muss.
35771 \begin_inset Formula $S$
35774 unser normiertes Ausgangssignal und
35775 \begin_inset Formula $P$
35778 die Phasenverteilungsfunktion, so ergibt sich die Beziehung
35784 \begin_layout Plain Layout
35794 \begin_inset VSpace -6mm
35798 \begin_inset Formula
35800 S(t)=S_{0}(t)\int_{-\infty}^{\infty}P(\phi,t)\mathrm{e}^{\mathrm{i}\phi}\,\mathrm{d}\phi
35809 \begin_layout Plain Layout
35813 begin{multicols}{2}
35821 \begin_inset Formula $S_{0}$
35824 das Signal ohne Gradient ist und die Normierungsbedingung
35825 \begin_inset Formula $\int_{-\infty}^{\infty}P(\phi,t)\,\mathrm{d}\phi=1$
35829 Nun dürfen wir aber nicht den Relaxationsprozess außer Acht lassen.
35831 \begin_inset Formula $\nicefrac{\pi}{2}$
35835 \begin_inset space \thinspace{}
35838 -rf-Puls beginnt sich die Magnetisierung zu entfokussieren, wodurch sich
35839 das Signal zusätzlich abschwächt.
35840 Diese Abschwächung verläuft exponentiell in Abhängigkeit der so genannten
35842 \begin_inset Formula $T_{2}$
35848 \begin_layout Standard
35852 \begin_layout Plain Layout
35864 \begin_layout Subsection
35866 \begin_inset Index idx
35871 \begin_layout Plain Layout
35872 すうしき@数式 ! へんすうのせつめいつき@変数の説明付き
35880 \begin_layout Standard
35881 \begin_inset CommandInset ref
35883 reference "eq:within"
35887 式のように,数式内で変数の説明をするには,
35888 \begin_inset Formula $n$
35891 個の変数が使われている場合,左寄せの列を持つ
35892 \begin_inset Formula $2\times n$
35899 \begin_layout Plain Layout
35901 \begin_inset CommandInset ref
35912 .説明を小さな文字にするには,行列の前に,たとえば
35922 \begin_layout Plain Layout
35924 \begin_inset CommandInset ref
35926 reference "subsec:書体寸法"
35938 \begin_layout Standard
35945 \begin_layout Plain Layout
35947 \begin_inset CommandInset ref
35949 reference "sec:数式様式"
35960 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
35970 \begin_layout Plain Layout
35982 \begin_inset CommandInset ref
35984 reference "subsec:可変長の空白"
35996 \begin_layout Standard
36001 を使っている場合,数式を字下げするには,第
36002 \begin_inset CommandInset ref
36004 reference "subsec:flalign環境"
36009 \begin_inset CommandInset ref
36011 reference "eq:within"
36015 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
36017 \begin_inset Formula
36019 \hspace{30pt}F_{A} & =\rho·V·g & \footnotesize\begin{array}{ll}
36020 \rho & \textrm{density}\\
36021 V & \textrm{volume}\\
36022 g & \textrm{gravitational acceleration}
36023 \end{array} & & {}\label{eq:within}
36031 \begin_layout Subsection
36033 \begin_inset CommandInset label
36035 name "subsec:アップライト体ギリシャ小文字"
36040 \begin_inset Index idx
36045 \begin_layout Plain Layout
36046 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
36054 \begin_layout Standard
36055 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,
36056 \begin_inset Formula $\pi$
36059 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.
36067 \begin_layout Plain Layout
36077 \begin_inset Index idx
36082 \begin_layout Plain Layout
36087 \begin_layout Plain Layout
36108 \begin_inset Index idx
36113 \begin_layout Plain Layout
36114 ぱっけーじ@パッケージ ! upgreek
36122 \begin_layout Standard
36127 usepackage{upgreek}
36130 \begin_layout Standard
36131 という\SpecialChar LaTeX
36132 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.
36136 \begin_layout Plain Layout
36146 \begin_inset Note Note
36149 \begin_layout Plain Layout
36155 パッケージが導入済みのときのみ表示されます.
36160 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
36164 を付けると作ることができます.たとえば
36171 \begin_inset Formula $\uptau$
36177 \begin_layout Standard
36178 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.
36179 \begin_inset Formula
36181 \uppi^{+}\to\upmu^{+}+\upnu_{\upmu}
36189 \begin_layout Standard
36190 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「
36191 \begin_inset Formula $\mu m$
36194 」のような単位に使うべきではありません.
36197 \begin_layout Standard
36201 \begin_layout Plain Layout
36211 \begin_inset Note Note
36214 \begin_layout Plain Layout
36220 パッケージが導入されていないときのみ表示されます.
36228 \begin_layout Standard
36237 \begin_layout Standard
36241 \begin_layout Plain Layout
36253 \begin_layout Subsection
36255 \begin_inset Index idx
36260 \begin_layout Plain Layout
36261 てきすと @ テキスト ! すうしきちゅうの @ 数式中の
36269 \begin_layout Standard
36270 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
36271 \begin_inset Formula $\nu=5·10^{5}\,\mathrm{Hz}$
36274 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
36284 \begin_layout Plain Layout
36286 \begin_inset CommandInset ref
36288 reference "subsec:二項演算子"
36297 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,
36300 \begin_layout Standard
36305 Declare Inputtext{183}{
36315 f\SpecialChar ligaturebreak
36319 \begin_layout Standard
36320 という\SpecialChar LaTeX
36321 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.
36324 \begin_layout Standard
36327 文書\SpecialChar menuseparator
36328 設定\SpecialChar menuseparator
36332 \begin_inset Flex Ruby
36335 \begin_layout Plain Layout
36337 \begin_inset Argument post:1
36340 \begin_layout Plain Layout
36351 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
36357 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
36358 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
36359 て,正しいコマンドが自動的に選択されます.
36362 \begin_layout Standard
36363 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,
36367 エンコーディングは,\SpecialChar LaTeX
36372 ファイルに定義されています.エンコーディングは,\SpecialChar LaTeX
36373 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
36374 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.
36377 \begin_layout Standard
36378 \begin_inset VSpace medskip
36382 \begin_inset Formula $^{\circ}$
36385 」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
36390 \begin_layout Plain Layout
36391 【訳註】p\SpecialChar LaTeX
36392 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.
36400 \begin_layout Standard
36405 DeclareInputtext{176}{
36415 f\SpecialChar ligaturebreak
36419 \begin_layout Subsection
36420 数式中の\SpecialChar LaTeX
36422 \begin_inset Index idx
36427 \begin_layout Plain Layout
36428 L atexこめんと@\SpecialChar LaTeX
36437 \begin_layout Standard
36438 本文中では,ファイルの\SpecialChar LaTeX
36439 ソースコードでのみ見ることのできるコメントを,
36443 \SpecialChar menuseparator
36448 \SpecialChar menuseparator
36453 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,
36456 \begin_layout Standard
36464 \begin_layout Standard
36465 というコマンドを使えば,\SpecialChar LaTeX
36466 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
36471 \begin_layout Plain Layout
36472 \begin_inset CommandInset href
36474 name "LyX-bug #9002"
36475 target "https://www.lyx.org/trac/ticket/9002"
36485 ,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
36486 出力中に,\SpecialChar LaTeX
36490 \begin_inset Newline newline
36495 下記は,\SpecialChar LaTeX
36497 \begin_inset Formula
36499 A=B%\text{これはコメントです。}
36507 \begin_layout Section
36510 \begin_inset Index idx
36515 \begin_layout Plain Layout
36516 くみばんじょうのじょげん@組版上の助言
36524 \begin_layout Standard
36525 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
36529 \begin_layout Plain Layout
36530 この要約の一部は,ISO規則を取り上げている「Duden」
36531 \begin_inset CommandInset citation
36538 と呼ばれるドイツの半公的辞書から採られています.
36546 \begin_layout Itemize
36547 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
36551 \begin_layout Plain Layout
36553 \begin_inset CommandInset ref
36555 reference "subsec:書体様式"
36565 \begin_inset space \thinspace{}
36569 \begin_inset Newline newline
36572 値と単位の間には,最小空白を入れます.第
36573 \begin_inset CommandInset ref
36575 reference "subsec:定義済みの空白"
36580 \begin_inset Newline newline
36589 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
36591 \begin_inset Formula $\unit[30]{km/h}$
36595 \begin_inset space \thinspace{}
36604 は,\SpecialChar LaTeX
36611 というコマンドです.したがって,これを\SpecialChar TeX
36615 \begin_layout Itemize
36616 百分率記号と千分率記号は,物理単位と同様に組みます:
36617 \begin_inset Newline newline
36621 \begin_inset space \thinspace{}
36627 \begin_layout Itemize
36629 \begin_inset Formula $15^{\circ}$
36632 .しかし,単位として用いられるときは別です:15
36633 \begin_inset space \thinspace{}
36637 \begin_inset Formula $^{\circ}\negmedspace\mbox{C}$
36643 \begin_layout Itemize
36644 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
36645 \begin_inset space \thinspace{}
36649 \begin_inset space \thinspace{}
36655 \begin_layout Itemize
36656 \begin_inset Formula $120\times90\times40$
36660 \begin_inset space \thinspace{}
36664 \begin_inset Formula $\times$
36675 挿入\SpecialChar menuseparator
36676 特殊文字\SpecialChar menuseparator
36682 \begin_layout Itemize
36683 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
36684 \begin_inset CommandInset ref
36686 reference "subsec:定義済み函数"
36693 \begin_layout Itemize
36694 複数の文字を含む指数は,アップライト体にします:
36695 \begin_inset Formula $E_{\mathrm{kin}}$
36699 \begin_inset Newline newline
36703 \begin_inset Formula $\hat{H}_{kl}$
36709 \begin_layout Itemize
36710 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.
36713 \begin_layout Itemize
36723 \begin_inset space \textvisiblespace{}
36729 \begin_inset Index idx
36734 \begin_layout Plain Layout
36744 挿入\SpecialChar menuseparator
36745 特殊文字\SpecialChar menuseparator
36746 記号\SpecialChar menuseparator
36750 \begin_inset Formula $\mathscr{F}$
36756 \begin_layout Standard
36757 \begin_inset Newpage newpage
36763 \begin_layout Section
36765 \begin_inset Index idx
36770 \begin_layout Plain Layout
36779 \begin_layout Standard
36780 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.
36783 \begin_layout Standard
36784 \begin_inset VSpace bigskip
36788 \begin_inset space \hfill{}
36792 \begin_inset Tabular
36793 <lyxtabular version="3" rows="12" columns="2">
36794 <features booktabs="true" tabularvalignment="middle">
36795 <column alignment="center" valignment="top" width="0pt">
36796 <column alignment="center" valignment="top" width="0pt">
36798 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
36801 \begin_layout Plain Layout
36807 <cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
36810 \begin_layout Plain Layout
36818 <cell alignment="center" valignment="top" usebox="none">
36821 \begin_layout Plain Layout
36829 <cell alignment="center" valignment="top" usebox="none">
36832 \begin_layout Plain Layout
36840 <cell alignment="center" valignment="top" usebox="none">
36843 \begin_layout Plain Layout
36851 <cell alignment="center" valignment="top" usebox="none">
36854 \begin_layout Plain Layout
36864 <cell alignment="center" valignment="top" usebox="none">
36867 \begin_layout Plain Layout
36875 <cell alignment="center" valignment="top" usebox="none">
36878 \begin_layout Plain Layout
36888 <cell alignment="center" valignment="top" usebox="none">
36891 \begin_layout Plain Layout
36899 <cell alignment="center" valignment="top" usebox="none">
36902 \begin_layout Plain Layout
36910 <cell alignment="center" valignment="top" usebox="none">
36913 \begin_layout Plain Layout
36921 <cell alignment="center" valignment="top" usebox="none">
36924 \begin_layout Plain Layout
36932 <cell alignment="center" valignment="top" usebox="none">
36935 \begin_layout Plain Layout
36943 <cell alignment="center" valignment="top" usebox="none">
36946 \begin_layout Plain Layout
36956 <cell alignment="center" valignment="top" usebox="none">
36959 \begin_layout Plain Layout
36967 <cell alignment="center" valignment="top" usebox="none">
36970 \begin_layout Plain Layout
36980 <cell alignment="center" valignment="top" usebox="none">
36983 \begin_layout Plain Layout
36991 <cell alignment="center" valignment="top" usebox="none">
36994 \begin_layout Plain Layout
37004 <cell alignment="center" valignment="top" usebox="none">
37007 \begin_layout Plain Layout
37015 <cell alignment="center" valignment="top" usebox="none">
37018 \begin_layout Plain Layout
37028 <cell alignment="center" valignment="top" usebox="none">
37031 \begin_layout Plain Layout
37039 <cell alignment="center" valignment="top" usebox="none">
37042 \begin_layout Plain Layout
37050 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
37053 \begin_layout Plain Layout
37061 <cell alignment="center" valignment="top" bottomline="true" usebox="none">
37064 \begin_layout Plain Layout
37076 \begin_inset space \hfill{}
37080 \begin_inset Tabular
37081 <lyxtabular version="3" rows="12" columns="2">
37082 <features booktabs="true" tabularvalignment="middle">
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