Mediawiki with steroids
Contents
- 1 uploads
- 2 graphviz
- 3 gnuplot
- 4 Latex inline
- 5 math
- 6 physics
- 7 latex
- 7.1 Math Alphabets
- 7.2 Greek Symbols
- 7.3 Hebrew Symbols
- 7.4 Arrows
- 7.5 Functions, symbols, special characters
- 7.6 Larger Expressions
- 7.7 Alphabets and typefaces
- 7.8 Color
- 7.9 Formatting issues
- 7.10 Examples
- 7.10.1 Quadratic Polynomial
- 7.10.2 Quadratic Polynomial (Force PNG Rendering)
- 7.10.3 Quadratic Formula
- 7.10.4 Tall Parentheses and Fractions
- 7.10.5 Integrals
- 7.10.6 Summation
- 7.10.7 Differential Equation
- 7.10.8 Complex numbers
- 7.10.9 Limits
- 7.10.10 Integral Equation
- 7.10.11 Example
- 7.10.12 Continuation and cases
- 7.10.13 Prefixed subscript
- 7.10.14 Fraction and small fraction
- 7.10.15 Binary Operators
- 7.10.16 AMS Binary Operators
- 7.10.17 Variable-sized Math Operators
- 7.11 Bibliografia
uploads
graphviz
The ImageMap extension is not installed.
The ImageMap extension is not installed.
The ImageMap extension is not installed.
The ImageMap extension is not installed.
The ImageMap extension is not installed.
gnuplot
graph from equation
<gnuplot> plot sin(x) </gnuplot>
<gnuplot> plot x**2-3 </gnuplot>
<gnuplot> set title "Price of Opteron" set xlabel "Gigahertz" set zlabel "$$" set ylabel "Date" set ydata time set timefmt "%m/%d/%Y" set format y " %m/%Y" set ytics ("01/20/2008", "03/14/2008") set style data lines set view 50,200,1,1 set grid z splot \ <dataset> 2.2 01/20/2008 100 #gighz.. date.. dollars 2.4 01/20/2008 150 2.6 01/20/2008 270 2.8 01/20/2008 480 3.0 01/20/2008 700
2.2 03/14/2008 100 2.4 03/14/2008 122 2.6 03/14/2008 245 2.8 03/14/2008 410 3.0 03/14/2008 700 </dataset> using 1:2:3 title "Dual Core" with lines, \ <dataset> 1.9 01/20/2008 330 2.0 01/20/2008 415 2.2 01/20/2008 650 2.3 01/20/2008 800 2.4 01/20/2008 1115 2.5 01/20/2008 1275
1.9 03/14/2008 330 2.0 03/14/2008 270 2.2 03/14/2008 480 2.3 03/14/2008 720 2.4 03/14/2008 925 2.5 03/14/2008 1235 </dataset> using 1:2:3 title "Quad Core" with lines </gnuplot>
graph from data (inline)
<gnuplot>
plot '-' using 1:2 t 'curva1' with linesp lt 1 lw 3, \ '-' using 1:2 t 'curva2' with linesp lt 2 lw 3 1 2 2 4 3 8 4 2 5 4 6 8 7 2 8 4 9 8 e 1 2 2 4 3 8 4 16 5 32 6 64 7 128 8 256 9 512 e
</gnuplot>
Latex inline
Introduzione
Latex, installato sul server su cui girano i servizi necessari per eseguire il wiki, rende possibile inserire formule nel testo.
Le formule sono convertite in immagine e l'immagine automaticamente incorporata nel testo.
Vediamo alcuni esempi:
- Un promemoria per la sintassi di LaTex
math
trigonometry
physics
latex
Math Alphabets
| code | Alphabet, Numbers & Symbols |
|---|---|
| \mathrm{ } | |
| \mathit{ } | |
| \mathsf{ } | |
| \mathbf{ } | |
| \mathcal{ } | |
| \mathbb{ } | |
| \mathfrak{ } |
Greek Symbols
| Name | LaTeX Code | Lowcase | LaTeX Code | Capital | LaTeX Code | Bold Lowcase | LaTeX Code | Bold Capital |
|---|---|---|---|---|---|---|---|---|
| ALPHA | \alpha | \Alpha | \boldsymbol{\alpha} | \boldsymbol{\Alpha} | ||||
| BETA | \beta | \Beta | \boldsymbol{\beta} | \boldsymbol{\Beta} | ||||
| GAMMA | \gamma | \Gamma | \boldsymbol{\gamma} | \boldsymbol{\Gamma} | ||||
| DIGAMMA | \digamma | \boldsymbol{\digamma} | ||||||
| DELTA | \delta | \Delta | \boldsymbol{\delta} | \boldsymbol{\Delta} | ||||
| EPSILON | \epsilon | \Epsilon | \boldsymbol{\epsilon} | \boldsymbol{\Epsilon} | ||||
| VAREPSILON | \varepsilon | \boldsymbol{\varepsilon} | ||||||
| ZETA | \zeta | \Zeta | \boldsymbol{\zeta} | \boldsymbol{\Zeta} | ||||
| ETA | \eta | \Eta | \boldsymbol{\eta} | \boldsymbol{\Eta} | ||||
| THETA | \theta | \Theta | \boldsymbol{\theta} | \boldsymbol{\Theta} | ||||
| VARTHETA | \vartheta | \boldsymbol{\vartheta} | ||||||
| IOTA | \iota | \Iota | \boldsymbol{\iota} | \boldsymbol{\Iota} | ||||
| KAPPA | \kappa | \Kappa | \boldsymbol{\kappa} | \boldsymbol{\Kappa} | ||||
| VARKAPPA | \varkappa | \boldsymbol{\varkappa} | ||||||
| LAMBDA | \lambda | \Lambda | \boldsymbol{\lambda} | \boldsymbol{\Lambda} | ||||
| MU | \mu | \Mu | \boldsymbol{\mu} | \boldsymbol{\Mu} | ||||
| NU | \nu | \Nu | \boldsymbol{\nu} | \boldsymbol{\Nu} | ||||
| XI | \xi | \Xi | \boldsymbol{\xi} | \boldsymbol{\Xi} | ||||
| OMICRON | o | O | \boldsymbol{o} | \boldsymbol{O} | ||||
| PI | \pi | \Pi | \boldsymbol{\pi} | \boldsymbol{\Pi} | ||||
| VARPI | \varpi | \boldsymbol{\varpi} | ||||||
| RHO | \rho | \Rho | \boldsymbol{\rho} | \boldsymbol{\Rho} | ||||
| VARRHO | \varrho | \boldsymbol{\varrho} | ||||||
| SIGMA | \sigma | \Sigma | \boldsymbol{\sigma} | \boldsymbol{\Sigma} | ||||
| VARSIGMA | \varsigma | \boldsymbol{\varsigma} | ||||||
| TAU | \tau | \Tau | \boldsymbol{\tau} | \boldsymbol{\Tau} | ||||
| UPSILON | \upsilon | \Upsilon | \boldsymbol{\upsilon} | \boldsymbol{\Upsilon} | ||||
| PHI | \phi | \Phi | \boldsymbol{\phi} | \boldsymbol{\Phi} | ||||
| VARPHI | \varphi | \boldsymbol{\varphi} | ||||||
| CHI | \chi | \Chi | \boldsymbol{\chi} | \boldsymbol{\Chi} | ||||
| PSI | \psi | \Psi | \boldsymbol{\psi} | \boldsymbol{\Psi} | ||||
| OMEGA | \omega | \Omega | \boldsymbol{\omega} | \boldsymbol{\Omega} |
Hebrew Symbols
| LaTeX Code | Aleph | LaTeX Code | Beth | LaTeX Code | Gimel | LaTeX Code | Daleth |
|---|---|---|---|---|---|---|---|
| \aleph | \beth | \gimel | \daleth |
Arrows
| LaTeX Code | Output | LaTeX Code | Output | LaTeX Code | Output | LaTeX Code | Output |
|---|---|---|---|---|---|---|---|
| \Downarrow | \longleftarrow | \nwarrow | \downarrow | ||||
| \Longleftarrow | \Rightarrow | \hookleftarrow | \longleftrightarrow | ||||
| \rightarrow | \hookrightarrow | \Longleftrightarrow | \searrow | ||||
| \longmapsto | \swarrow | \leftarrow | \Updownarrow | ||||
| \Longrightarrow | \uparrow | \Leftarrow | \longrightarrow | ||||
| \Uparrow | \Leftrightarrow | \mapsto | \updownarrow | ||||
| \nearrow | \nwarrow | \searrow | \swarrow | ||||
| \leftrightarrow | \gets | \to |
- Accents
- Arrows
- Binary and relational operators
- Delimiters
- Greek letters
- Miscellaneous symbols
- Math functions
- Variable size math symbols
- Math Miscellany
The AMS dot symbols are named according to their intended usage: \dotsb between pairs of binary operators/relations, \dotsc between pairs of commas, \dotsi between pairs of integrals, \dotsm between pairs of multiplication signs, and \dotso between other symbol pairs.
Functions, symbols, special characters
Accents/Diacritics | |
|---|---|
\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}
|
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\check{a} \bar{a} \ddot{a} \dot{a}
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Standard functions | |
\sin a \cos b \tan c
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\sec d \csc e \cot f
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\arcsin h \arccos i \arctan j
|
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\sinh k \cosh l \tanh m \coth n\!
|
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\operatorname{sh}\,o\,\operatorname{ch}\,p\,\operatorname{th}\,q\!
|
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\operatorname{arsinh}\,r\,\operatorname{arcosh}\,s\,\operatorname{artanh}\,t
|
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\lim u \limsup v \liminf w \min x \max y\!
|
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\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g\!
|
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\deg h \gcd i \Pr j \det k \hom l \arg m \dim n
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Modular arithmetic | |
s_k \equiv 0 \pmod{m}
|
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a\,\bmod\,b
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Derivatives | |
\nabla \, \partial x \, dx \, \dot x \, \ddot y\, dy/dx\, \frac{dy}{dx}\, \frac{\partial^2 y}{\partial x_1\,\partial x_2}
|
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Sets | |
\forall \exists \empty \emptyset \varnothing
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\in \ni \not \in \notin \subset \subseteq \supset \supseteq
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\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus
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\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup
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Operators | |
+ \oplus \bigoplus \pm \mp -
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\times \otimes \bigotimes \cdot \circ \bullet \bigodot
|
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\star * / \div \frac{1}{2}
|
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Logic | |
\land (or \and) \wedge \bigwedge \bar{q} \to p
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\lor \vee \bigvee \lnot \neg q \And
|
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Root | |
\sqrt{2} \sqrt[n]{x}
|
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Relations | |
\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}
|
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\le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto
|
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Geometric | |
\Diamond \Box \triangle \angle \perp \mid \nmid \| 45^\circ
|
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Arrows | |
\leftarrow (or \gets) \rightarrow (or \to) \nleftarrow \nrightarrow \leftrightarrow \nleftrightarrow \longleftarrow \longrightarrow \longleftrightarrow
|
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\Leftarrow \Rightarrow \nLeftarrow \nRightarrow \Leftrightarrow \nLeftrightarrow \Longleftarrow \Longrightarrow \Longleftrightarrow (or \iff)
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\uparrow \downarrow \updownarrow \Uparrow \Downarrow \Updownarrow \nearrow \searrow \swarrow \nwarrow
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\rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \leftrightharpoons
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\curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \Rrightarrow \rightarrowtail \looparrowright
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\curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft
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\mapsto \longmapsto \hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow
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Special | |
\And \eth \S \P \% \dagger \ddagger \ldots \cdots
|
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\smile \frown \wr \triangleleft \triangleright \infty \bot \top
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\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar
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\ell \mho \Finv \Re \Im \wp \complement
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\diamondsuit \heartsuit \clubsuit \spadesuit \Game \flat \natural \sharp
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Unsorted (new stuff) | |
\vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown
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\blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge
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\veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes
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\rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant
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\eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq
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\fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft
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\Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot
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\ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq
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\Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork
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\varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq
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\lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid
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\nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr
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\subsetneq
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\ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq
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\succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq
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\nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq
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\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus
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\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq
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\dashv \asymp \doteq \parallel
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\ulcorner \urcorner \llcorner \lrcorner
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Larger Expressions
Subscripts, superscripts, integrals
| Feature | Syntax | How it looks rendered | |
|---|---|---|---|
| HTML | PNG | ||
| Superscript | a^2 |
||
| Subscript | a_2 |
||
| Grouping | a^{2+2} |
||
a_{i,j} |
|||
| Combining sub & super without and with horizontal separation | x_2^3 |
||
{x_2}^3 |
|||
| Super super | 10^{10^{ \,\!{8} } |
||
| Super super | 10^{10^{ \overset{8}{} }} |
||
| Super super (wrong in HTML in some browsers) | 10^{10^8} |
||
| Preceding and/or Additional sub & super | \sideset{_1^2}{_3^4}\prod_a^b |
||
{}_1^2\!\Omega_3^4 |
|||
| Stacking | \overset{\alpha}{\omega} |
||
\underset{\alpha}{\omega} |
|||
\overset{\alpha}{\underset{\gamma}{\omega}} |
|||
\stackrel{\alpha}{\omega} |
|||
| Derivative (forced PNG) | x', y'', f', f''\! |
||
| Derivative (f in italics may overlap primes in HTML) | x', y'', f', f'' |
||
| Derivative (wrong in HTML) | x^\prime, y^{\prime\prime} |
||
| Derivative (wrong in PNG) | x\prime, y\prime\prime |
||
| Derivative dots | \dot{x}, \ddot{x} |
||
| Underlines, overlines, vectors | \hat a \ \bar b \ \vec c |
||
\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f} |
|||
\overline{g h i} \ \underline{j k l} |
|||
| Arrows | A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C |
||
| Overbraces | \overbrace{ 1+2+\cdots+100 }^{5050} |
||
| Underbraces | \underbrace{ a+b+\cdots+z }_{26} |
||
| Sum | \sum_{k=1}^N k^2 |
||
Sum (force \textstyle) |
\textstyle \sum_{k=1}^N k^2 |
||
| Product | \prod_{i=1}^N x_i |
||
Product (force \textstyle) |
\textstyle \prod_{i=1}^N x_i |
||
| Coproduct | \coprod_{i=1}^N x_i |
||
Coproduct (force \textstyle) |
\textstyle \coprod_{i=1}^N x_i |
||
| Limit | \lim_{n \to \infty}x_n |
||
Limit (force \textstyle) |
\textstyle \lim_{n \to \infty}x_n |
||
| Integral | \int\limits_{1}^{3}\frac{e^3/x}{x^2}\, dx |
||
| Integral (alternate limits style) | \int_{1}^{3}\frac{e^3/x}{x^2}\, dx |
||
Integral (force \textstyle) |
\textstyle \int\limits_{-N}^{N} e^x\, dx |
||
Integral (force \textstyle, alternate limits style) |
\textstyle \int_{-N}^{N} e^x\, dx |
||
| Double integral | \iint\limits_D \, dx\,dy |
||
| Triple integral | \iiint\limits_E \, dx\,dy\,dz |
||
| Quadruple integral | \iiiint\limits_F \, dx\,dy\,dz\,dt |
||
| Line or path integral | \int_C x^3\, dx + 4y^2\, dy |
||
| Closed line or path integral | \oint_C x^3\, dx + 4y^2\, dy |
||
| Intersections | \bigcap_1^n p |
||
| Unions | \bigcup_1^k p |
||
Fractions, matrices, multilines
| Feature | Syntax | How it looks rendered |
|---|---|---|
| Fractions | \frac{2}{4}=0.5 |
|
| Small Fractions | \tfrac{2}{4} = 0.5 |
|
| Large (normal) Fractions | \dfrac{2}{4} = 0.5 \qquad \dfrac{2}{c + \dfrac{2}{d + \dfrac{2}{4}}} = a |
|
| Large (nested) Fractions | \cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a |
|
| Binomial coefficients | \binom{n}{k} |
|
| Small Binomial coefficients | \tbinom{n}{k} |
|
| Large (normal) Binomial coefficients | \dbinom{n}{k} |
|
| Matrices | \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} |
||
\bigl( \begin{smallmatrix}
a&b\\ c&d
\end{smallmatrix} \bigr)
|
||
| Case distinctions | f(n) =
\begin{cases}
n/2, & \mbox{if }n\mbox{ is even} \\
3n+1, & \mbox{if }n\mbox{ is odd}
\end{cases} |
|
| Multiline equations | \begin{align}
f(x) & = (a+b)^2 \\
& = a^2+2ab+b^2 \\
\end{align}
|
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\begin{alignat}{2}
f(x) & = (a-b)^2 \\
& = a^2-2ab+b^2 \\
\end{alignat}
|
||
| Multiline equations (must define number of colums used ({lcr}) (should not be used unless needed) | \begin{array}{lcl}
z & = & a \\
f(x,y,z) & = & x + y + z
\end{array} |
|
| Multiline equations (more) | \begin{array}{lcr}
z & = & a \\
f(x,y,z) & = & x + y + z
\end{array} |
|
| Breaking up a long expression so that it wraps when necessary |
<math>f(x) \,\!</math>
<math>= \sum_{n=0}^\infty a_n x^n </math>
<math>= a_0+a_1x+a_2x^2+\cdots</math>
|
|
| Simultaneous equations | \begin{cases}
3x + 5y + z \\
7x - 2y + 4z \\
-6x + 3y + 2z
\end{cases} |
|
| Arrays | \begin{array}{|c|c||c|} a & b & S \\
\hline
0&0&1\\
0&1&1\\
1&0&1\\
1&1&0\\
\end{array}
|
Parenthesizing big expressions, brackets, bars
| Feature | Syntax | How it looks rendered |
|---|---|---|
| Bad | ( \frac{1}{2} )
|
|
| Good | \left ( \frac{1}{2} \right )
|
You can use various delimiters with \left and \right:
| Feature | Syntax | How it looks rendered |
|---|---|---|
| Parentheses | \left ( \frac{a}{b} \right )
|
|
| Brackets | \left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack
|
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| Braces | \left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace
|
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| Angle brackets | \left \langle \frac{a}{b} \right \rangle
|
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| Bars and double bars | \left | \frac{a}{b} \right \vert \left \Vert \frac{c}{d} \right \|
|
|
| Floor and ceiling functions: | \left \lfloor \frac{a}{b} \right \rfloor \left \lceil \frac{c}{d} \right \rceil
|
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| Slashes and backslashes | \left / \frac{a}{b} \right \backslash
|
|
| Up, down and up-down arrows | \left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow
|
|
| Delimiters can be mixed, as long as \left and \right match |
\left [ 0,1 \right )</code> <br/> <code>\left \langle \psi \right |
|
|
| Use \left. and \right. if you don't want a delimiter to appear: |
\left . \frac{A}{B} \right \} \to X
|
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| Size of the delimiters | \big( \Big( \bigg( \Bigg( \dots \Bigg] \bigg] \Big] \big]/ |
|
\big\{ \Big\{ \bigg\{ \Bigg\{ \dots \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle
|
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\big\| \Big\| \bigg\| \Bigg\| \dots \Bigg| \bigg| \Big| \big|
|
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\big\lfloor \Big\lfloor \bigg\lfloor \Bigg\lfloor \dots \Bigg\rceil \bigg\rceil \Big\rceil \big\rceil
|
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\big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow \dots \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow
|
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\big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow \dots \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow
|
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\big / \Big / \bigg / \Bigg / \dots \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash
|
Alphabets and typefaces
Texvc cannot render arbitrary Unicode characters. Those it can handle can be entered by the expressions below. For others, such as Cyrillic, they can be entered as Unicode or HTML entities in running text, but cannot be used in displayed formulas.
| Greek alphabet | |
|---|---|
\Alpha \Beta \Gamma \Delta \Epsilon \Zeta
|
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\Eta \Theta \Iota \Kappa \Lambda \Mu
|
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\Nu \Xi \Pi \Rho \Sigma \Tau
|
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\Upsilon \Phi \Chi \Psi \Omega
|
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\alpha \beta \gamma \delta \epsilon \zeta
|
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\eta \theta \iota \kappa \lambda \mu
|
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\nu \xi \pi \rho \sigma \tau
|
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\upsilon \phi \chi \psi \omega
|
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\varepsilon \digamma \vartheta \varkappa
|
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\varpi \varrho \varsigma \varphi
|
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| Blackboard Bold/Scripts | |
\mathbb{A} \mathbb{B} \mathbb{C} \mathbb{D} \mathbb{E} \mathbb{F} \mathbb{G}
|
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\mathbb{H} \mathbb{I} \mathbb{J} \mathbb{K} \mathbb{L} \mathbb{M}
|
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\mathbb{N} \mathbb{O} \mathbb{P} \mathbb{Q} \mathbb{R} \mathbb{S} \mathbb{T}
|
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\mathbb{U} \mathbb{V} \mathbb{W} \mathbb{X} \mathbb{Y} \mathbb{Z}
|
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| boldface (vectors) | |
\mathbf{A} \mathbf{B} \mathbf{C} \mathbf{D} \mathbf{E} \mathbf{F} \mathbf{G}
|
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\mathbf{H} \mathbf{I} \mathbf{J} \mathbf{K} \mathbf{L} \mathbf{M}
|
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\mathbf{N} \mathbf{O} \mathbf{P} \mathbf{Q} \mathbf{R} \mathbf{S} \mathbf{T}
|
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\mathbf{U} \mathbf{V} \mathbf{W} \mathbf{X} \mathbf{Y} \mathbf{Z}
|
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\mathbf{a} \mathbf{b} \mathbf{c} \mathbf{d} \mathbf{e} \mathbf{f} \mathbf{g}
|
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\mathbf{h} \mathbf{i} \mathbf{j} \mathbf{k} \mathbf{l} \mathbf{m}
|
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\mathbf{n} \mathbf{o} \mathbf{p} \mathbf{q} \mathbf{r} \mathbf{s} \mathbf{t}
|
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\mathbf{u} \mathbf{v} \mathbf{w} \mathbf{x} \mathbf{y} \mathbf{z}
|
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\mathbf{0} \mathbf{1} \mathbf{2} \mathbf{3} \mathbf{4}
|
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\mathbf{5} \mathbf{6} \mathbf{7} \mathbf{8} \mathbf{9}
|
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| Boldface (greek) | |
\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}
|
|
| Italics | |
\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}
|
|
| Roman typeface | |
\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}
|
|
| Fraktur typeface | |
\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}
|
|
| Calligraphy/Script | |
\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}
|
|
| Hebrew | |
\aleph \beth \gimel \daleth
|
|
| Feature | Syntax | How it looks rendered | |
|---|---|---|---|
| non-italicised characters | \mbox{abc} | ||
| mixed italics (bad) | \mbox{if} n \mbox{is even} | ||
| mixed italics (good) | \mbox{if }n\mbox{ is even} | ||
| mixed italics (more legible: ~ is a non-breaking space, while "\ " forces a space) | \mbox{if}~n\ \mbox{is even} | ||
Color
Equations can use color:
{\color{Blue}x^2}+{\color{YellowOrange}2x}-{\color{OliveGreen}1}
x_{1,2}=\frac{-b\pm\sqrt{\color{Red}b^2-4ac}}{2a}
See here for all named colors supported by LaTeX.
Note that color should not be used as the only way to identify something, because it will become meaningless on black-and-white media or for color-blind people. See en:Wikipedia:Manual of Style#Color coding.
Formatting issues
Spacing
Note that TeX handles most spacing automatically, but you may sometimes want manual control.
| Feature | Syntax | How it looks rendered |
|---|---|---|
| double quad space | a \qquad b | |
| quad space | a \quad b | |
| text space | a\ b | |
| text space without PNG conversion | a \mbox{ } b | |
| large space | a\;b | |
| medium space | a\>b | [not supported] |
| small space | a\,b | |
| no space | ab | |
| small negative space | a\!b |
Alignment with normal text flow
Due to the default css
img.tex { vertical-align: middle; }
an inline expression like should look good.
If you need to align it otherwise, use <math style="vertical-align:-100%;">...</math> and play with the vertical-align argument until you get it right; however, how it looks may depend on the browser and the browser settings.
Also note that if you rely on this workaround, if/when the rendering on the server gets fixed in future releases, as a result of this extra manual offset your formulae will suddenly be aligned incorrectly. So use it sparingly, if at all.
Examples
A sample conforming diagram is commons:Image:PSU-PU.svg.
Examples
Quadratic Polynomial
<math>ax^2 + bx + c = 0</math>
Quadratic Polynomial (Force PNG Rendering)
<math>ax^2 + bx + c = 0\,\!</math>
Quadratic Formula
<math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>
Tall Parentheses and Fractions
<math>2 = \left(
\frac{\left(3-x\right) \times 2}{3-x}
\right)</math>
<math>S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2}</math>
Integrals
<math>\int_a^x \int_a^s f(y)\,dy\,ds
= \int_a^x f(y)(x-y)\,dy</math>
Summation
<math>\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n}
{3^m\left(m\,3^n+n\,3^m\right)}</math>
Differential Equation
<math>u'' + p(x)u' + q(x)u=f(x),\quad x>a</math>
Complex numbers
<math>|\bar{z}| = |z|,
|(\bar{z})^n| = |z|^n,
\arg(z^n) = n \arg(z)</math>
Limits
<math>\lim_{z\rightarrow z_0} f(z)=f(z_0)</math>
Integral Equation
<math>\phi_n(\kappa) =
\frac{1}{4\pi^2\kappa^2} \int_0^\infty
\frac{\sin(\kappa R)}{\kappa R}
\frac{\partial}{\partial R}
\left[R^2\frac{\partial D_n(R)}{\partial R}\right]\,dR</math>
Example
<math>\phi_n(\kappa) =
0.033C_n^2\kappa^{-11/3},\quad
\frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0}</math>
Continuation and cases
<math>
f(x) =
\begin{cases}
1 & -1 \le x < 0 \\
\frac{1}{2} & x = 0 \\
1 - x^2 & \mbox{otherwise}
\end{cases}
</math>
Prefixed subscript
<math>{}_pF_q(a_1,...,a_p;c_1,...,c_q;z)
= \sum_{n=0}^\infty
\frac{(a_1)_n\cdot\cdot\cdot(a_p)_n}{(c_1)_n\cdot\cdot\cdot(c_q)_n}
\frac{z^n}{n!}</math>
Fraction and small fraction
<math> \frac {a}{b}\ \tfrac {a}{b} </math>
Binary Operators
| Code | Output | Code | Output | Code | Output | Code | Output |
|---|---|---|---|---|---|---|---|
| \amalg | \cup | \oplus | \times | ||||
| \ast | \dagger | \oslash | \triangleleft | ||||
| \bigcirc | \ddagger | \otimes | \triangleright | ||||
| \bigtriangledown | \diamond | \pm | \unlhd | ||||
| \bigtriangleup | \div | \rhd | |||||
| \bullet | \lhd | \setminus | \uplus | ||||
| \cap | \mp | \sqcap | \vee | ||||
| \cdot | \odot | \sqcup | \wedge | ||||
| \circ | \ominus | \star | \wr |
AMS Binary Operators
| Code | Output | Code | Output | Code | Output |
|---|---|---|---|---|---|
| \barwedge | \circledcirc | \intercal | |||
| \boxdot | \circleddash | \leftthreetimes | |||
| \boxminus | \Cup | \ltimes | |||
| \boxplus | \curlyvee | \rightthreetimes | |||
| \boxtimes | \curlywedge | \rtimes | |||
| \Cap | \divideontimes | \smallsetminus | |||
| \centerdot | \dotplus | \veebar | |||
| \circledast | \doublebarwedge |
Variable-sized Math Operators
| Code | Output | Code | Output | Code | Output | Code | Output |
|---|---|---|---|---|---|---|---|
| \bigcap | \bigotimes | \bigwedge | \prod | ||||
| \bigcup | \bigsqcup | \coprod | \sum | ||||
| \bigodot | \biguplus | \int | |||||
| \bigoplus | \bigvee | \oint |