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ふじきみひろもり
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1 MathJax 1 MathJax MathJax JavaScript : MathJax IE6 Chrome 0.2 Safari 2 Opera 9.6 MathJax MathJax 2010 MathJax MathJax JavaScript MathJax JavaScript MathJax MathJax 2 HTML MathJax HTML HTML mathjax.html html ) mathjax.html <html> <head> <title>mathjax </title> </head> MathJax </html> MathJax MathJax TeX 1

2 3 MathJax HTML \ Y \ Y mathjax.html <html> <head> <script type="text/javascript" src=" /2.7.0/MathJax.js?config=TeX-AMS_CHTML"></script> <title>mathjax </title> </head> MathJax <br> $ax+b=0$ \[ x = -\frac{b}{a} \] </html> <head></head> <script type="text/javascript" src=" rg/mathjax/latest/mathjax.js?config=tex-ams_chtml"></script> MathJax <br>  \[ \] \frac{}{} HTML MathJax ax + b = 0 x = b a \ 2

3 \ Y TeX TeX mathjax.html $ax^{2}+bx+c=0$ \[ x = \frac{-b\pm\sqrt{b^{2}-4ac}}{2a} \tag{1} \] ax 2 + bx + c = 0 x = b ± b 2 4ac 2a (1) ^{} e^{x} \pm ± \sqrt{} n n \sqrt[n]{} \tag{} \tag{*} ( ) \pm a ±a \pma 3

4 4 1 HTML \[ \sum_{k=1}^{n} a_{k} = a_{1} + a_{2} + \dots + a_{n} \] n a k = a 1 + a a n k=1 \sum_{}^{} _{} ^{} _{} \dots 2 HTML \[ \int_{-\infty}^{\infty} e^{-x^{2}} \, dx = \sqrt{\pi} \] e x2 dx = π \int_{}^{} \infty \, \pi π 4

5 3 HTML $f(x)$ \[ f (x) = \lim_{\delta x \to 0} \frac{ f(x+\delta x) - f(x) }{\Delta x} \] f(x) \lim_{} \to \Delta f f(x + x) f(x) (x) = lim x 0 x 4 HTML \[ \int \tan\theta \, d\theta = \int \frac{\sin\theta}{\cos\theta} \, d\theta = -\log \cos\theta + C \] tan θ dθ = sin θ dθ = log cos θ + C cos θ \sin, \cos, \tan, \log sin, cos, tan, log sin sin s i n \theta θ 5

6 5 HTML \begin{align} \cos 2\theta &= \cos^{2} \theta - \sin^{2} \theta \\ &= 2\cos^{2} \theta - 1 \\ &= 1-2\sin^{2} \theta \end{align} cos 2θ = cos 2 θ sin 2 θ = 2 cos 2 θ 1 = 1 2 sin 2 θ \begin{align}\end{align} \\ & 6 HTML \[ x = \begin{cases} x & \text{$x\ge0$ } \\ -x & \text{$x<0$ } \end{cases} \] x = { x x x 0 x < 0 \begin{cases}\end{cases} & \\ \text{} \ge \le 6

7 7 HTML $n \times n$ \[ A = \begin{pmatrix} a_{11} & a_{12} & \ldots & a_{1n} \\ a_{21} & a_{22} & \ldots & a_{2n} \\ \vdots & \vdots & \ddots & \vdots \\ a_{n1} & a_{n2} & \ldots & a_{nn} \end{pmatrix} \] $A^{-1}$ $\det A \neq 0$ n n a 11 a a 1n a 21 a a 2n A = a n1 a n2... a nn A 1 det A 0 \times \begin{pmatrix}\end{pmatrix} & \\ \ldots, \vdots, \ddots \det det \neq pmatrix ( ) bmatrix [ ] Bmatrix { } vmatrix Vmatrix matrix 7

8 5 MathJax MathJax config.js mathjax.html config.js window.mathjax = { TeX: { equationnumbers: {autonumber: "AMS"}, Macros: { x: {\\times}, bm: [ {\\boldsymbol{#1}},1], dd: [ {\\frac{\\partial #1}{\\partial #2}},2] } }, CommonHTML: { scale: 110, mtextfontinherit: true } }; equationnumbers \[ \] \begin{equation} \end{equation} Macros x \times \x bm 1 \bm{} \boldsymbol{a} \bm{a} dd 2 \dd{}{} \frac{{\partial A}{\partial B} \dd{a}{b} scale 110% mtextfontinherit false MathJax 8

9 HTML mathjax.html <html> <head> <script type="text/javascript" src="config.js"></script> <script type="text/javascript" src=" /2.7.0/MathJax.js?config=TeX-AMS_CHTML"></script> <title>mathjax </title> </head> $\bm{b}(x,y,z)$ \begin{equation} \bm{b} = \nabla \x \bm{a} \label{a} \end{equation} \begin{equation} \nabla \cdot \bm{b} = \dd{b_{x}}{x} + \dd{b_{y}}{y} + \dd{b_{z}}{z} \end{equation} 0 \eqref{a} $\bm{a}$ $\bm{b}$ </html> \nabla \cdot <head></head> MathJax config.js HTML B(x, y, z) B = A (1) B = B x x + B y y + B z z (2) 0 (1) A B \label{} \eqref{} a \eqref{a} \notag 9

10 f(x) = f(x) = e iθ = cos θ + i sin θ n=0 f (n) (a) (x a) n n! ( ) 1 exp (x µ)2 2πσ 2 2σ 2 \pi, \mu, \sigma π, µ, σ \exp exp \left( \right) \left \right () [] \{\} 4 m d2 r dt 2 = F \vec{} \overrightarrow{} AB 5 d dt ( ) L L q q = 0 \partial \mathcal{} \mathcal{l} \dot{} 10

11 6 ˆf(ξ) = f(x) e 2πix ξ dx R n \hat{} ˆ \xi ξ \mathbb{} \cdot 7 \alpha α \oint f(α) = 1 f(z) 2πi C z α dz 8 A dv = A n ds V V \iint, \iiint, \iiiint,, \nabla \boldsymbol{} 9 iħ ( ) t ψ(r, t) = ħ2 2m 2 + V (r, t) ψ(r, t) \hbar ħ \psi ψ \biggl( \biggr) \bigl, \Bigl, \biggl, \Biggl l r l m 11

12 10 H 2 (g) O 2(g) = H 2 O(l) kj \mathrm{} \mathrm{} \, 11 A B = { x x A x B } \{ \} {} {} \cap, \cup, \wedge, \vee,,, \in, \ni, \notin, \subset, \supset,, /,, \emptyset, \forall, \exists, \neg,,, 12 1 Γ (z) = zeγz n=1 ( 1 + z ) e z/n n \gamma, \Gamma, \vargamma γ, Γ, Γ \prod_{}^{} 13 E = ρ ε 0, B = 0, E = B t B = µ 0 i + 1 E c 2 t \rho, \varepsillon, \mu ρ, ε, µ \times \begin{align}\end{align} & & & 12

13 A \ \quad \qquad \quad 2 \, \quad 3/18 \: \quad 4/18 \; \quad 5/18 \! \quad 3/18 \alpha \beta \gamma \delta \epsilon \varepsilon α β γ δ ϵ ε \zeta \eta \theta \vartheta \iota \kappa ζ η θ ϑ ι κ \lambda λ \mu µ \nu ν \xi ξ o o \pi π \varpi \rho \varrho \sigma \varsigma \tau ϖ ρ ϱ σ ς τ \upsilon \phi \varphi \chi \psi \omega υ ϕ φ χ ψ ω \Gamma \vargamma \Delta \vardelata \Theta \vartheta Γ Γ Θ Θ \Lambda \varlambda \Xi \varxi \Pi \varpi Λ Λ Ξ Ξ Π Π \Sigma \varsigma \Upsilon \varupsilon \Phi \varphi Σ Σ Υ Υ Φ Φ \Psi \varpsi \Omega \varomega Ψ Ψ Ω Ω (x) [x] \{x\} \langle x \rangle \lfloor x \rfloor \lceil x \rceil (x) [x] {x} x x x x x \ x\ x / / \backslash \ 13

14 + + - \pm ± \mp \times \div \ast \star \cdot \bullet \circ \bigcirc \setminus \ \wr \cap \cup \sqcap \sqcup \wedge \vee \oplus \ominus \otimes \oslash \odot \dagger \ddagger \amalg = = \neq \doteq \doteqdot \equiv \sim \backsim \simeq \backsimeq \eqsim \approx \approxeq. = \cong = \propto \varpropto \perp \mid \shortmid \parallel \shortparallel \therefore \because \risingdotseq \fallingdotseq < < > > \ll \gg \lll \ggg \le, \leq \ge, \geq \leqq \geqq \leqslant \geqslant \lesssim \gtrsim \subset \supset \subseteq \supseteq \subseteqq \supseteqq \in \ni \notin / \backepsilon \not \not\equiv \emptyset \varnothing \infty \aleph \complement \partial \digamma \hbar \hslash \imath \jmath ℵ ϝ ħ ħ ı ȷ \Bbbk k \varkappa κ \ell l \Re R \Im I \mho \eth ð \prime \backprime \surd \nabla \triangle \square \blacksquare \bigstar \spadesuit \heartsuit \diamondsuit \clubsuit \angle \measuredangle \sphericalangle \top \bot \diagup \diagdown \forall \exists \nexists \neg, \lnot \sharp \flat \natural 14

15 \sin sin \cos cos \tan tan \cot cot \sec sec \csc csc \arcsin arcsin \arccos arccos \arctan arctan \sinh sinh \cosh cosh \tanh tanh \coth coth \exp exp \log log \ln ln \lg lg \arg arg \Pr Pr \det det \hom hom \ker ker \dim dim \deg deg \gcd gcd \bmod mod \pmod{n} (mod n) \lim lim \min min \max max \inf inf \sup sup \liminf lim inf \limsup lim sup \sum \prod \coprod \bigcap \bigcup \biguplus \bigsqcup \bigwedge \bigvee \bigoplus \bigotimes \bigodot \int \oint \iint \iiint \iiiint \idotsint _{}^{} \rightarrow, \to \leftarrow, \gets \longrightarrow \longleftarrow \leftrightarrow \longleftrightarrow \mapsto \longmapsto \hookrightarrow \hookleftarrow \rightleftarrows \leftrightarrows \rightrightarrows \leftleftarrows \uparrow \downarrow \updownarrow \upuparrows \downdownarrows \nearrow \searrow \nwarrow \swarrow \Rightarrow \Leftarrow \Longrightarrow = \Longleftarrow = \Leftrightarrow \Longleftrightarrow \Uparrow \Downarrow \Updownarrow \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \rightleftharpoons \leftrightharpoons \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright 15

16 \vec{x} \bar{x} \tilde{x} \breve{x} \hat{x} \check{x} x x x x ˆx ˇx \acute{x} x \grave{x} \dot{x} \ddot{x} \dddot{x} \ddddot{x} `x ẋ ẍ... x... x \overrightarrow{xyz} \overleftarrow{xyz} \overline{xyz} \underline{xyz} \widetilde{xyz} \widehat{xyz} xyz xyz xyz xyz xyz xyz 16

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