Help:Math - davidar/scholarpedia GitHub Wiki

• Syntax
• Functions, symbols, special characters
• Subscripts, superscripts, integrals
• Fractions, matrices, multilines
• Alphabets and typefaces
• Parenthesizing big expressions, brackets, bars
• Spacing
• Align with normal text flow
• Color
• Examples
  • Quadratic Polynomial
  • Quadratic Formula
  • Tall Parentheses and Fractions
  • Integrals
  • Summation
  • Differential Equation
  • Complex numbers
  • Limits
  • Integral Equation
  • Example
  • Continuation and cases
  • Prefixed subscript
• Acknowledgement
• Bug reports
• External links

\begin{matrix}
  x & y \\
  z & v 
\end{matrix}

\begin{vmatrix}
  x & y \\
  z & v 
\end{vmatrix}

\begin{Vmatrix}
  x & y \\
  z & v
\end{Vmatrix}

\begin{bmatrix}
  0      & \cdots & 0      \\
  \vdots & \ddots & \vdots \\ 
  0      & \cdots & 0
\end{bmatrix}

\begin{Bmatrix}
  x & y \\
  z & v
\end{Bmatrix}

\begin{pmatrix}
  x & y \\
  z & v 
\end{pmatrix}

f(n) = 
\begin{cases} 
  n/2,  & \mbox{if }n\mbox{ is even} \\
  3n+1, & \mbox{if }n\mbox{ is odd} 
\end{cases}

\begin{array}{lcl}
 f(n+1) & = & (n+1)^2     \\
        & = & n^2 + 2n + 1 
\end{array}

\begin{array}{lcr}
  f(x)   & = & x^2 + 2x + 1 \\
  f(n+1) & = & (n+1)^2 + 2(n+1) + 1     
\end{array}

<math>f(x) \,\!</math>
<math>= \sum_{n=0}^\infty a_n x^n </math>
<math>= a_0 + a_1 x + a_2 x^2 + a_3 x^3 + \cdots</math>

\begin{cases}
    3 x + 5 y +   z \\
    7 x - 2 y + 4 z \\
   -6 x + 3 y + 2 z 
\end{cases}

\Alpha \Beta \Gamma \Delta \Epsilon \Zeta

\Eta \Theta \Iota \Kappa \Lambda \Mu

\Nu \Xi \Pi \Rho \Sigma \Tau

\Upsilon \Phi \Chi \Psi \Omega

\alpha \beta \gamma \delta \epsilon \zeta

\eta \theta \iota \kappa \lambda \mu

\nu \xi \pi \rho \sigma \tau

\upsilon \phi \chi \psi \omega

\varepsilon \digamma \vartheta \varkappa

\varpi \varrho \varsigma \varphi

\mathbb{A} \mathbb{B} \mathbb{C} \mathbb{D} \mathbb{E} \mathbb{F} \mathbb{G}

\mathbb{H} \mathbb{I} \mathbb{J} \mathbb{K} \mathbb{L} \mathbb{M}

\mathbb{N} \mathbb{O} \mathbb{P} \mathbb{Q} \mathbb{R} \mathbb{S} \mathbb{T}

\mathbb{U} \mathbb{V} \mathbb{W} \mathbb{X} \mathbb{Y} \mathbb{Z}

\mathbf{A} \mathbf{B} \mathbf{C} \mathbf{D} \mathbf{E} \mathbf{F} \mathbf{G}

\mathbf{H} \mathbf{I} \mathbf{J} \mathbf{K} \mathbf{L} \mathbf{M}

\mathbf{N} \mathbf{O} \mathbf{P} \mathbf{Q} \mathbf{R} \mathbf{S} \mathbf{T}

\mathbf{U} \mathbf{V} \mathbf{W} \mathbf{X} \mathbf{Y} \mathbf{Z}

\mathbf{a} \mathbf{b} \mathbf{c} \mathbf{d} \mathbf{e} \mathbf{f} \mathbf{g}

\mathbf{h} \mathbf{i} \mathbf{j} \mathbf{k} \mathbf{l} \mathbf{m}

\mathbf{n} \mathbf{o} \mathbf{p} \mathbf{q} \mathbf{r} \mathbf{s} \mathbf{t}

\mathbf{u} \mathbf{v} \mathbf{w} \mathbf{x} \mathbf{y} \mathbf{z}

\mathbf{0} \mathbf{1} \mathbf{2} \mathbf{3} \mathbf{4}

\mathbf{5} \mathbf{6} \mathbf{7} \mathbf{8} \mathbf{9}

\boldsymbol{\Alpha} \boldsymbol{\Beta} \boldsymbol{\Gamma} \boldsymbol{\Delta} \boldsymbol{\Epsilon} \boldsymbol{\Zeta}

\boldsymbol{\Eta} \boldsymbol{\Theta} \boldsymbol{\Iota} \boldsymbol{\Kappa} \boldsymbol{\Lambda} \boldsymbol{\Mu}

\boldsymbol{\Nu} \boldsymbol{\Xi} \boldsymbol{\Pi} \boldsymbol{\Rho} \boldsymbol{\Sigma} \boldsymbol{\Tau}

\boldsymbol{\Upsilon} \boldsymbol{\Phi} \boldsymbol{\Chi} \boldsymbol{\Psi} \boldsymbol{\Omega}

\boldsymbol{\alpha} \boldsymbol{\beta} \boldsymbol{\gamma} \boldsymbol{\delta} \boldsymbol{\epsilon} \boldsymbol{\zeta}

\boldsymbol{\eta} \boldsymbol{\theta} \boldsymbol{\iota} \boldsymbol{\kappa} \boldsymbol{\lambda} \boldsymbol{\mu}

\boldsymbol{\nu} \boldsymbol{\xi} \boldsymbol{\pi} \boldsymbol{\rho} \boldsymbol{\sigma} \boldsymbol{\tau}

\boldsymbol{\upsilon} \boldsymbol{\phi} \boldsymbol{\chi} \boldsymbol{\psi} \boldsymbol{\omega}

\boldsymbol{\varepsilon} \boldsymbol{\digamma} \boldsymbol{\vartheta} \boldsymbol{\varkappa}

\boldsymbol{\varpi} \boldsymbol{\varrho} \boldsymbol{\varsigma} \boldsymbol{\varphi}

\mathit{A} \mathit{B} \mathit{C} \mathit{D} \mathit{E} \mathit{F} \mathit{G}

\mathit{H} \mathit{I} \mathit{J} \mathit{K} \mathit{L} \mathit{M}

\mathit{N} \mathit{O} \mathit{P} \mathit{Q} \mathit{R} \mathit{S} \mathit{T}

\mathit{U} \mathit{V} \mathit{W} \mathit{X} \mathit{Y} \mathit{Z}

\mathit{a} \mathit{b} \mathit{c} \mathit{d} \mathit{e} \mathit{f} \mathit{g}

\mathit{h} \mathit{i} \mathit{j} \mathit{k} \mathit{l} \mathit{m}

\mathit{n} \mathit{o} \mathit{p} \mathit{q} \mathit{r} \mathit{s} \mathit{t}

\mathit{u} \mathit{v} \mathit{w} \mathit{x} \mathit{y} \mathit{z}

\mathit{0} \mathit{1} \mathit{2} \mathit{3} \mathit{4}

\mathit{5} \mathit{6} \mathit{7} \mathit{8} \mathit{9}

\mathrm{A} \mathrm{B} \mathrm{C} \mathrm{D} \mathrm{E} \mathrm{F} \mathrm{G}

\mathrm{H} \mathrm{I} \mathrm{J} \mathrm{K} \mathrm{L} \mathrm{M}

\mathrm{N} \mathrm{O} \mathrm{P} \mathrm{Q} \mathrm{R} \mathrm{S} \mathrm{T}

\mathrm{U} \mathrm{V} \mathrm{W} \mathrm{X} \mathrm{Y} \mathrm{Z}

\mathrm{a} \mathrm{b} \mathrm{c} \mathrm{d} \mathrm{e} \mathrm{f} \mathrm{g}

\mathrm{h} \mathrm{i} \mathrm{j} \mathrm{k} \mathrm{l} \mathrm{m}

\mathrm{n} \mathrm{o} \mathrm{p} \mathrm{q} \mathrm{r} \mathrm{s} \mathrm{t}

\mathrm{u} \mathrm{v} \mathrm{w} \mathrm{x} \mathrm{y} \mathrm{z}

\mathrm{0} \mathrm{1} \mathrm{2} \mathrm{3} \mathrm{4}

\mathrm{5} \mathrm{6} \mathrm{7} \mathrm{8} \mathrm{9}

\mathfrak{A} \mathfrak{B} \mathfrak{C} \mathfrak{D} \mathfrak{E} \mathfrak{F} \mathfrak{G}

\mathfrak{H} \mathfrak{I} \mathfrak{J} \mathfrak{K} \mathfrak{L} \mathfrak{M}

\mathfrak{N} \mathfrak{O} \mathfrak{P} \mathfrak{Q} \mathfrak{R} \mathfrak{S} \mathfrak{T}

\mathfrak{U} \mathfrak{V} \mathfrak{W} \mathfrak{X} \mathfrak{Y} \mathfrak{Z}

\mathfrak{a} \mathfrak{b} \mathfrak{c} \mathfrak{d} \mathfrak{e} \mathfrak{f} \mathfrak{g}

\mathfrak{h} \mathfrak{i} \mathfrak{j} \mathfrak{k} \mathfrak{l} \mathfrak{m}

\mathfrak{n} \mathfrak{o} \mathfrak{p} \mathfrak{q} \mathfrak{r} \mathfrak{s} \mathfrak{t}

\mathfrak{u} \mathfrak{v} \mathfrak{w} \mathfrak{x} \mathfrak{y} \mathfrak{z}

\mathfrak{0} \mathfrak{1} \mathfrak{2} \mathfrak{3} \mathfrak{4}

\mathfrak{5} \mathfrak{6} \mathfrak{7} \mathfrak{8} \mathfrak{9}

\mathcal{A} \mathcal{B} \mathcal{C} \mathcal{D} \mathcal{E} \mathcal{F} \mathcal{G}

\mathcal{H} \mathcal{I} \mathcal{J} \mathcal{K} \mathcal{L} \mathcal{M}

\mathcal{N} \mathcal{O} \mathcal{P} \mathcal{Q} \mathcal{R} \mathcal{S} \mathcal{T}

\mathcal{U} \mathcal{V} \mathcal{W} \mathcal{X} \mathcal{Y} \mathcal{Z}

\aleph \beth \gimel \daleth