「Mathjax2.x 練習場」の版間の差分
編集の要約なし |
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(同じ利用者による、間の22版が非表示) | |||
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<freescript></script> | <freescript></script> | ||
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Main; src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Main-Regular.woff?V=2.7.9') format('woff'), url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Main-Regular.otf?V=2.7.9') format('opentype')}</style> | |||
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Size1; src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Size1-Regular.woff?V=2.7.9') format('woff'), url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Size1-Regular.otf?V=2.7.9') format('opentype')}</style> | |||
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Size3; src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Size3-Regular.woff?V=2.7.9') format('woff'), url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Size3-Regular.otf?V=2.7.9') format('opentype')}</style> | |||
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Size2; src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Size2-Regular.woff?V=2.7.9') format('woff'), url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Size2-Regular.otf?V=2.7.9') format('opentype')}</style> | |||
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Variants; src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Variants-Regular.woff?V=2.7.9') format('woff'), url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Variants-Regular.otf?V=2.7.9') format('opentype')}</style> | |||
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Normal; src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Normal-Regular.woff?V=2.7.9') format('woff'), url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Normal-Regular.otf?V=2.7.9') format('opentype')}</style> | |||
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Alphabets; src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Alphabets-Regular.woff?V=2.7.9') format('woff'), url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Alphabets-Regular.otf?V=2.7.9') format('opentype')}</style> | |||
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Marks; src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Marks-Regular.woff?V=2.7.9') format('woff'), url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Marks-Regular.otf?V=2.7.9') format('opentype')}</style> | |||
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Arrows; src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Arrows-Regular.woff?V=2.7.9') format('woff'), url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Arrows-Regular.otf?V=2.7.9') format('opentype')}</style> | |||
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Operators; src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Operators-Regular.woff?V=2.7.9') format('woff'), url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Operators-Regular.otf?V=2.7.9') format('opentype')}</style> | |||
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Symbols; src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Symbols-Regular.woff?V=2.7.9') format('woff'), url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Symbols-Regular.otf?V=2.7.9') format('opentype')}</style> | |||
<style type="text/css">@font-face {font-family: NeoEulerMathJax_Shapes; src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_Shapes-Regular.woff?V=2.7.9') format('woff'), url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_Shapes-Regular.otf?V=2.7.9') format('opentype')}</style> | |||
<style type="text/css">@font-face {font-family: NeoEulerMathJax_NonUnicode; src: url('https://wiki.yo-net.jp/font/NeoEuler/woff/NeoEulerMathJax_NonUnicode-Regular.woff?V=2.7.9') format('woff'), url('https://wiki.yo-net.jp/font/NeoEuler/otf/NeoEulerMathJax_NonUnicode-Regular.otf?V=2.7.9') format('opentype')}</style> | |||
<script type="text/x-mathjax-config"> | <script type="text/x-mathjax-config"> | ||
MathJax.Ajax.config.path["Contrib"]="https://wiki.yo-net.jp/mathjax/"; | MathJax.Ajax.config.path["Contrib"]="https://wiki.yo-net.jp/mathjax/"; | ||
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{ | { | ||
tex2jax:{ | tex2jax:{ | ||
inlineMath: [['\\@','\\@'],['\\(','\\)']], | displayMath: [['$$', '$$'],['\\[', '\\]']], | ||
inlineMath: [['\\@', '\\@'],['\\(', '\\)']], | |||
processEscapes: true | processEscapes: true | ||
}, | }, | ||
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}, | }, | ||
"HTML-CSS": { | "HTML-CSS": { | ||
undefinedFamily: " | undefinedFamily: "Meiryo, STIXGeneral, 'Arial Unicode MS', serif", | ||
webFont :"Euler" | webFont :"Neo-Euler" | ||
} | } | ||
} | } | ||
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[[Mathjax 2.7]]に戻る。 | [[Mathjax 2.7]]に戻る。 | ||
[[ | [[Mathjax2.x コード一覧]]に戻る。 | ||
== '''概要''' == | == '''概要''' == | ||
Mathjax2. | Mathjax2.x系で使えるコード一覧を作成したいと思います。<span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_\frac{3}{5}" style="width: 0.718em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.821em, 1000.57em, 2.866em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.36em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.383em, 1000.26em, 2.406em, -999.997em); top: -2.656em; left: 50%; margin-left: -0.151em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">3</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.26em, 2.406em, -999.997em); top: -1.634em; left: 50%; margin-left: -0.151em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">5</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.36em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.36em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.841em; border-left: 0px solid; width: 0px; height: 2.341em;"></span></span></span>しばらくはコード動作確認調整期間になります。Mathjax3.x系向けのサンプルを全部貼りましたので、<span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_\frac{5}{9}" style="width: 0.718em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.565em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.821em, 1000.57em, 2.866em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.36em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.383em, 1000.26em, 2.406em, -999.997em); top: -2.656em; left: 50%; margin-left: -0.151em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">5</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1000.26em, 2.406em, -999.997em); top: -1.634em; left: 50%; margin-left: -0.151em;"><span class="mn" style="font-size: 70.7%;"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">9</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.36em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.36em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.841em; border-left: 0px solid; width: 0px; height: 2.341em;"></span></span></span>動いていないものは非対応だったんだなと思っていいと思います。 | ||
ア <span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_\frac{\rho}{1-\rho}_\times_Ts" style="width: 4.707em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.684em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.63em, 2.917em, -999.997em); top: -2.145em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.23em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(3.479em, 1000.36em, 4.297em, -999.997em); top: -4.548em; left: 50%; margin-left: -0.202em;"><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">ρ</span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.275em, 1001.08em, 4.297em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.56em;"><span class="mrow"><span class="mn" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">1</span><span class="texatom"><span class="mrow"><span class="mo" style="font-size: 70.7%;"><span style="font-family: STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">-</span></span></span></span><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">ρ</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.23em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.23em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="font-family: NeoEulerMathJax_Main; padding-left: 0.207em;">×</span><span class="mi" style="font-family: NeoEulerMathJax_Main; padding-left: 0.207em;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.105em;"></span></span><span class="mi" style="font-family: NeoEulerMathJax_Main;">s</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.841em; border-left: 0px solid; width: 0px; height: 2.016em;"></span></span></span> | |||
イ <span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_\frac{\rho}{1-2\rho}_\times_Ts" style="width: 5.167em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.042em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1003.99em, 2.917em, -999.997em); top: -2.145em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.588em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(3.479em, 1000.36em, 4.297em, -999.997em); top: -4.548em; left: 50%; margin-left: -0.202em;"><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">ρ</span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.275em, 1001.43em, 4.297em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.713em;"><span class="mrow"><span class="mn" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">1</span><span class="texatom"><span class="mrow"><span class="mo" style="font-size: 70.7%;"><span style="font-family: STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">-</span></span></span></span><span class="mn" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">2</span><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">ρ</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.59em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.588em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="font-family: NeoEulerMathJax_Main; padding-left: 0.207em;">×</span><span class="mi" style="font-family: NeoEulerMathJax_Main; padding-left: 0.207em;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.105em;"></span></span><span class="mi" style="font-family: NeoEulerMathJax_Main;">s</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.841em; border-left: 0px solid; width: 0px; height: 2.016em;"></span></span></span> | |||
ウ <span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_\frac{2\rho}{1-\rho}_\times_Ts" style="width: 4.707em; display: inline-block;"><span style="display: inline-block; position: relative; width: 3.684em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.974em, 1003.63em, 2.917em, -999.997em); top: -2.145em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.23em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(3.326em, 1000.72em, 4.297em, -999.997em); top: -4.548em; left: 50%; margin-left: -0.355em;"><span class="mrow"><span class="mn" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">2</span><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">ρ</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.275em, 1001.08em, 4.297em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.56em;"><span class="mrow"><span class="mn" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">1</span><span class="texatom"><span class="mrow"><span class="mo" style="font-size: 70.7%;"><span style="font-family: STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">-</span></span></span></span><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">ρ</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.23em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.23em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="font-family: NeoEulerMathJax_Main; padding-left: 0.207em;">×</span><span class="mi" style="font-family: NeoEulerMathJax_Main; padding-left: 0.207em;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.105em;"></span></span><span class="mi" style="font-family: NeoEulerMathJax_Main;">s</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.841em; border-left: 0px solid; width: 0px; height: 2.211em;"></span></span></span> | |||
< | |||
< | |||
// | |||
エ <span class="MathJax_Preview" style="color: inherit;"></span><span class="MathJax" tabindex="0" style="position: relative;" role="presentation"><span class="none-math" id="Inline:_\frac{2\rho}{1-2\rho}_\times_Ts" style="width: 5.167em; display: inline-block;"><span style="display: inline-block; position: relative; width: 4.042em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.974em, 1003.99em, 2.917em, -999.997em); top: -2.145em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 1.588em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(3.326em, 1000.72em, 4.297em, -999.997em); top: -4.548em; left: 50%; margin-left: -0.355em;"><span class="mrow"><span class="mn" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">2</span><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">ρ</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(3.275em, 1001.43em, 4.297em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.713em;"><span class="mrow"><span class="mn" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">1</span><span class="texatom"><span class="mrow"><span class="mo" style="font-size: 70.7%;"><span style="font-family: STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">-</span></span></span></span><span class="mn" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">2</span><span class="mi" style="font-size: 70.7%; font-family: NeoEulerMathJax_Main;">ρ</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1001.59em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 1.588em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="font-family: NeoEulerMathJax_Main; padding-left: 0.207em;">×</span><span class="mi" style="font-family: NeoEulerMathJax_Main; padding-left: 0.207em;">T<span style="display: inline-block; overflow: hidden; height: 1px; width: 0.105em;"></span></span><span class="mi" style="font-family: NeoEulerMathJax_Main;">s</span></span><span style="display: inline-block; width: 0px; height: 2.15em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.841em; border-left: 0px solid; width: 0px; height: 2.211em;"></span></span></span> | |||
</ | |||
< | |||
73行目: | 70行目: | ||
=== 数 === | === 数 === | ||
* | *キャンセル4 | ||
<freescript></script> | <freescript></script> | ||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | ||
<code class="tex">\ | <code class="tex">\cancel{a} | ||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | ||
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\cancel{a}" style="width: 1.332em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.025em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.872em, 1001.02em, 2.712em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="menclose"><span style="display: inline-block; position: relative; width: 1.025em; height: 0px;"><span style="border: 1.5px none; display: inline-block; overflow: hidden; width: 1.025em; height: 1.536em; vertical-align: -0.049em; position: absolute; top: -1.071em; left: 0em;"></span><span style="position: absolute; clip: rect(1.127em, 1000.46em, 2.457em, -999.997em); top: -2.094em; left: 0.258em;"><span class="mrow"><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">a</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.298em; left: 0em;"><svg style="width: 1.025em; height: 1.536em;"><g fill="none" stroke="currentColor" stroke-width="1.46685"><line x1="1" y1="28.84805" x2="18.29005" y2="1.46685"></line></g></svg><span style="display: inline-block; width: 0px; height: 2.764em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.646em; border-left: 0px solid; width: 0px; height: 2.081em;"></span></span></span></div> | |||
</div> | </div> | ||
87行目: | 84行目: | ||
<code class="tex">\frac{1}{2} | <code class="tex">\frac{1}{2} | ||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | ||
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0"><span class="math" style="width: 0.923em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1000.72em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div> | <span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\frac{1}{2}" style="width: 0.923em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1000.72em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div> | ||
</div> | </div> | ||
96行目: | 93行目: | ||
<code class="tex">\displaystyle \frac{1}{2} | <code class="tex">\displaystyle \frac{1}{2} | ||
</code></pre></div><script></freescript><div align="center" style="background-color:#eeeeee; border:2px solid;"> | </code></pre></div><script></freescript><div align="center" style="background-color:#eeeeee; border:2px solid;"> | ||
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\displaystyle_\frac{1}{2}" style="width: 0.923em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1000.72em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div> | |||
</div> | </div> | ||
105行目: | 102行目: | ||
<code class="tex">\dfrac{1}{2} | <code class="tex">\dfrac{1}{2} | ||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | ||
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\dfrac{1}{2}" style="width: 0.923em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.718em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.463em, 1000.72em, 3.224em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mstyle"><span class="mrow"><span class="mfrac"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.202em;"><span class="mn"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.51em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.514em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.295em; border-left: 0px solid; width: 0px; height: 3.25em;"></span></span></span></div> | |||
</div> | </div> | ||
115行目: | 112行目: | ||
x & \cdots & -1 & \cdots & 1 & \cdots \\ | x & \cdots & -1 & \cdots & 1 & \cdots \\ | ||
\hline | \hline | ||
f^{\prime}(x) & + & 0 & – & 0 & + \\ | |||
\hline | \hline | ||
f(x) & \nearrow & e & \searrow & -e & \nearrow | f(x) & \nearrow & e & \searrow & -e & \nearrow | ||
\end{array} | \end{array} | ||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | ||
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{array}{c|ccccc}\vbCrLf\vbCrLf_x_____&_\cdots_&_-1_&_\cdots_&_1_&_\cdots_\\_\vbCrLf_\hline\vbCrLf_f^{\prime}(x)_&_+_&_0_&_–_&_0_&_+_\\_\vbCrLf_\hline\vbCrLf_f(x)__&_\nearrow_&_e_&_\searrow_&_-e_&_\nearrow\vbCrLf\vbCrLf\end{array}" style="width: 15.086em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.865em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-0.509em, 1011.87em, 4.195em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 11.558em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.559em, 1001.54em, 6.803em, -999.997em); top: -4.906em; left: 0.412em;"><span style="display: inline-block; position: relative; width: 1.536em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.025em, 1001.54em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.764em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.452em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">′</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1001.38em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.662em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.77em, 6.803em, -999.997em); top: -4.906em; left: 2.917em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">↗</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.97em, 6.803em, -999.997em); top: -4.906em; left: 4.707em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.458em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mn"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.77em, 6.803em, -999.997em); top: -4.906em; left: 6.649em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -2.145em; left: 50%; margin-left: -0.253em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">–</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">↘</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.97em, 6.803em, -999.997em); top: -4.906em; left: 8.439em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.458em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.77em, 6.803em, -999.997em); top: -4.906em; left: 10.433em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">↗</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-left: 1.3px solid; width: 0px; height: 4.349em; position: absolute; top: -2.452em; left: 2.457em; border-top-style: solid; border-right-style: solid; border-bottom-style: solid;"></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 11.558em; height: 0px; position: absolute; top: -1.071em; left: 0em;"></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 11.558em; height: 0px; position: absolute; top: 0.463em; left: 0em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -2.529em; border-left: 0px solid; width: 0px; height: 5.653em;"></span></span></span></div> | |||
\end{array} | |||
</div> | </div> | ||
135行目: | 126行目: | ||
<code class="tex">\sqrt{ 2 } | <code class="tex">\sqrt{ 2 } | ||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | ||
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\sqrt{_2_}" style="width: 1.383em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.923em, 1001.08em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msqrt"><span style="display: inline-block; position: relative; width: 1.076em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -2.094em; left: 0.667em;"><span class="mrow"><span class="mn"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">2</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.974em, 1000.41em, 1.281em, -999.997em); top: -2.145em; left: 0.667em;"><span style="display: inline-block; overflow: hidden; vertical-align: -0.049em; border-top: 1.3px solid; width: 0.412em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span><span style="position: absolute; clip: rect(3.019em, 1000.67em, 4.349em, -999.997em); top: -4.19em; left: 0em;"><span><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">√</span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.692em;"></span></span></span></div> | |||
</div> | </div> | ||
142行目: | 133行目: | ||
<freescript></script> | <freescript></script> | ||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | ||
<code class="tex">f | <code class="tex">f^{\prime} | ||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | ||
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_f^{\prime}" style="width: 0.667em; display: inline-block;"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.974em, 1000.51em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">′</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -0.321em; border-left: 0px solid; width: 0px; height: 1.627em;"></span></span></span></div> | |||
</div> | </div> | ||
152行目: | 143行目: | ||
<div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | <div class="hljs-wrap"><pre data-label="MathJaxSample" class="pre-wrap"> | ||
<code class="tex">\begin{eqnarray} | <code class="tex">\begin{eqnarray} | ||
f | f^{\prime}(x) | ||
= \frac{ df }{ dx } | = \frac{ df }{ dx } | ||
= \lim_{ \Delta x \to 0 } \frac{ f(x + \Delta x) - f(x) }{ \Delta x } | = \lim_{ \Delta x \to 0 } \frac{ f(x + \Delta x) - f(x) }{ \Delta x } | ||
\end{eqnarray} | \end{eqnarray} | ||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | ||
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{eqnarray}\vbCrLff^{\prime}(x)\vbCrLf\vbCrLf=_\frac{_df_}{_dx_}\vbCrLf=_\lim\_{_\Delta_x_\to_0_}_\frac{_f(x_+_\Delta_x)_-_f(x)_}{_\Delta_x_}\vbCrLf\vbCrLf\end{eqnarray}" style="width: 16.518em; display: inline-block;"><span style="display: inline-block; position: relative; width: 12.99em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(0.36em, 1012.99em, 3.326em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 12.683em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.252em, 1012.68em, 5.218em, -999.997em); top: -3.986em; left: 0em;"><span style="display: inline-block; position: relative; width: 12.683em; height: 0px;"><span style="position: absolute; clip: rect(0.463em, 1012.68em, 3.428em, -999.997em); top: -2.196em; right: 0em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.503em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">′</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="mfrac" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1000.82em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -0.406em;"><span class="mrow"><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.87em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.406em;"><span class="mrow"><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">d</span></span><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1000.97em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 0.974em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span><span class="mo" style="padding-left: 0.258em;"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">=</span></span><span class="munderover" style="padding-left: 0.258em;"><span style="display: inline-block; position: relative; width: 1.536em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.28em, 2.457em, -999.997em); top: -2.094em; left: 0.156em;"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">l</span><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">i</span><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">m</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.383em, 1001.54em, 2.508em, -999.997em); top: -1.173em; left: 0em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">Δ</span></span><span class="mi" style="font-size: 70.7%;"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="font-size: 70.7%;"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">→</span></span><span class="mn" style="font-size: 70.7%;"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mfrac" style="padding-left: 0.156em;"><span style="display: inline-block; position: relative; width: 5.831em; height: 0px; margin-right: 0.105em; margin-left: 0.105em;"><span style="position: absolute; clip: rect(1.127em, 1005.73em, 2.457em, -999.997em); top: -2.758em; left: 50%; margin-left: -2.861em;"><span class="mrow"><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">Δ</span></span><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span><span class="mo" style="padding-left: 0.207em;"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mi" style="padding-left: 0.207em;"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -1.327em; left: 50%; margin-left: -0.458em;"><span class="mrow"><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">Δ</span></span><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(0.872em, 1005.83em, 1.23em, -999.997em); top: -1.276em; left: 0em;"><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 5.831em; height: 0px;"></span><span style="display: inline-block; width: 0px; height: 1.076em;"></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 3.991em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.425em; border-left: 0px solid; width: 0px; height: 3.51em;"></span></span></span></div> | |||
\end{eqnarray} | |||
</div> | </div> | ||
171行目: | 158行目: | ||
x & \cdots & -1 & \cdots & 1 & \cdots \\ | x & \cdots & -1 & \cdots & 1 & \cdots \\ | ||
\hline | \hline | ||
f^{\prime}(x) & + & 0 & – & 0 & + \\ | |||
\hline | \hline | ||
f(x) & \nearrow & e & \searrow & -e & \nearrow | f(x) & \nearrow & e & \searrow & -e & \nearrow | ||
\end{array} | \end{array} | ||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | ||
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\begin{array}{c|ccccc}\vbCrLf\vbCrLf_x_____&_\cdots_&_-1_&_\cdots_&_1_&_\cdots_\\_\vbCrLf_\hline\vbCrLf_f^{\prime}(x)_&_+_&_0_&_–_&_0_&_+_\\_\vbCrLf_\hline\vbCrLf_f(x)__&_\nearrow_&_e_&_\searrow_&_-e_&_\nearrow\vbCrLf\vbCrLf\end{array}" style="width: 15.086em; display: inline-block;"><span style="display: inline-block; position: relative; width: 11.865em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(-0.509em, 1011.87em, 4.195em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mtable"><span style="display: inline-block; position: relative; width: 11.558em; height: 0px; margin-right: 0.156em; margin-left: 0.156em;"><span style="position: absolute; clip: rect(2.559em, 1001.54em, 6.803em, -999.997em); top: -4.906em; left: 0.412em;"><span style="display: inline-block; position: relative; width: 1.536em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.025em, 1001.54em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.764em;"><span class="mtd"><span class="mrow"><span class="msubsup"><span style="display: inline-block; position: relative; width: 0.514em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.31em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; top: -2.452em; left: 0.309em;"><span class="texatom"><span class="mrow"><span class="mi" style="font-size: 70.7%;"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">′</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1001.38em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.662em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">f</span></span><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">(</span></span><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">x</span></span><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">)</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.77em, 6.803em, -999.997em); top: -4.906em; left: 2.917em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">↗</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.97em, 6.803em, -999.997em); top: -4.906em; left: 4.707em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.458em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mn"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.77em, 6.803em, -999.997em); top: -4.906em; left: 6.649em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.281em, 1000.51em, 2.61em, -999.997em); top: -2.145em; left: 50%; margin-left: -0.253em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">–</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.252em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">↘</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.97em, 6.803em, -999.997em); top: -4.906em; left: 8.439em;"><span style="display: inline-block; position: relative; width: 0.974em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">1</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.41em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.202em;"><span class="mtd"><span class="mrow"><span class="mn"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">0</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.97em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.458em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">−</span></span><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">e</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="position: absolute; clip: rect(2.559em, 1000.77em, 6.803em, -999.997em); top: -4.906em; left: 10.433em;"><span style="display: inline-block; position: relative; width: 0.77em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -3.525em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">⋯</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -1.992em; left: 50%; margin-left: -0.304em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">+</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.77em, 2.457em, -999.997em); top: -0.56em; left: 50%; margin-left: -0.355em;"><span class="mtd"><span class="mrow"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">↗</span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; width: 0px; height: 4.911em;"></span></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-left: 1.3px solid; width: 0px; height: 4.349em; position: absolute; top: -2.452em; left: 2.457em; border-top-style: solid; border-right-style: solid; border-bottom-style: solid;"></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 11.558em; height: 0px; position: absolute; top: -1.071em; left: 0em;"></span><span style="display: inline-block; overflow: hidden; vertical-align: 0em; border-top: 1.3px solid; width: 11.558em; height: 0px; position: absolute; top: 0.463em; left: 0em;"></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -2.529em; border-left: 0px solid; width: 0px; height: 5.653em;"></span></span></span></div> | |||
\end{array} | |||
</div> | </div> | ||
200行目: | 181行目: | ||
<code class="tex">\underline{ A } | <code class="tex">\underline{ A } | ||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | ||
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\underline{A\phantom{B}}" style="width: 1.434em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1000.77em, 3.633em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1000.62em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="texatom"><span class="mrow"><span class="mphantom"><span class="mrow" style="visibility: hidden;"><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.36em, 2.457em, -999.997em); top: -0.918em; left: 0.412em;"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">_</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.815em; border-left: 0px solid; width: 0px; height: 2.925em;"></span></span></span></div> | |||
</div> | </div> | ||
209行目: | 190行目: | ||
<code class="tex">\underline{ AB } | <code class="tex">\underline{ AB } | ||
</code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | </code></pre></div><script></freescript><div style="background-color:#eeeeee; border:2px solid;"> | ||
<span class="MathJax_Preview" style="color: inherit;"></span><div class="MathJax_Display" style="text-align: center;"><span class="MathJax" tabindex="0" style="text-align: center; position: relative;" role="presentation"><span class="none-math" id="Display:_\underline{AB}" style="width: 1.434em; display: inline-block;"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px; font-size: 127%;"><span style="position: absolute; clip: rect(1.127em, 1001.13em, 3.633em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="munderover"><span style="display: inline-block; position: relative; width: 1.127em; height: 0px;"><span style="position: absolute; clip: rect(1.127em, 1001.13em, 2.457em, -999.997em); top: -2.094em; left: 0em;"><span class="mrow"><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">A</span></span><span class="mi"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">B</span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span><span style="position: absolute; clip: rect(1.127em, 1000.36em, 2.457em, -999.997em); top: -0.918em; left: 0.412em;"><span class="mo"><span style="font-family: "Neo Euler Medium", Meiryo, STIXGeneral, "Arial Unicode MS", serif; font-size: 79%; font-style: normal; font-weight: normal;">_</span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span></span></span><span style="display: inline-block; width: 0px; height: 2.099em;"></span></span></span><span style="display: inline-block; overflow: hidden; vertical-align: -1.815em; border-left: 0px solid; width: 0px; height: 2.925em;"></span></span></span></div> | |||
</div> | </div> |
2025年1月27日 (月) 16:36時点における最新版
Mathjax 2.7に戻る。
Mathjax2.x コード一覧に戻る。
概要
Mathjax2.x系で使えるコード一覧を作成したいと思います。35しばらくはコード動作確認調整期間になります。Mathjax3.x系向けのサンプルを全部貼りましたので、59動いていないものは非対応だったんだなと思っていいと思います。
ア ρ1-ρ×Ts
イ ρ1-2ρ×Ts
ウ 2ρ1-ρ×Ts
エ 2ρ1-2ρ×Ts
数
- キャンセル4
\cancel{a}
a
- 分数(NonMathjax)
\frac{1}{2}
12
- 分数(大)
\displaystyle \frac{1}{2}
12
- 分数(大)2
\dfrac{1}{2}
12
- 増減表
\begin{array}{c|ccccc}
x & \cdots & -1 & \cdots & 1 & \cdots \\
\hline
f^{\prime}(x) & + & 0 & – & 0 & + \\
\hline
f(x) & \nearrow & e & \searrow & -e & \nearrow
\end{array}
xf′(x)f(x)⋯+↗−10e⋯–↘10−e⋯+↗
- 平方根
\sqrt{ 2 }
2√
- 微分(ラグランジュ)
f^{\prime}
f′
- 微分サンプル
\begin{eqnarray}
f^{\prime}(x)
= \frac{ df }{ dx }
= \lim_{ \Delta x \to 0 } \frac{ f(x + \Delta x) - f(x) }{ \Delta x }
\end{eqnarray}
f′(x)=dfdx=limΔx→0f(x+Δx)−f(x)Δx
- 表サンプル
\begin{array}{c|ccccc}
x & \cdots & -1 & \cdots & 1 & \cdots \\
\hline
f^{\prime}(x) & + & 0 & – & 0 & + \\
\hline
f(x) & \nearrow & e & \searrow & -e & \nearrow
\end{array}
xf′(x)f(x)⋯+↗−10e⋯–↘10−e⋯+↗
- 下線
\underline{ A }
$$ \underline{ A } $$
- 下線
\underline{ A }
A_
- 下線
\underline{ AB }
AB_