Help:Displaying a formula
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MediaWiki uses a subset of TeX markup, including some extensions from LaTeX and AMS-LaTeX, for mathematical formulae. It generates either PNG images or simple HTML markup, depending on user preferences and the complexity of the expression.
More precisely, MediaWiki filters the markup through Texvc, which in turn passes the commands to TeX for the actual rendering. Thus, only a limited part of the full TeX language is supported; see below for details.
To have math rendered, you have to load the Math extension.
Technicals
[edit]Syntax
[edit]Traditionally, math markup goes inside the XML-style tag math: <math> ... </math>
. The old edit toolbar had the button for this, and it is possible to customize the WikiEditor toolbar to add a similar button. The icons are like these: and .
However, one can also use parser function #tag: {{#tag:math|...}}
; this is more versatile: the wikitext at the dots is first expanded before interpreting the result as TeX code. Thus it can contain parameters, variables, parser functions and templates. Note however that with this syntax double braces in the TeX code must have a space in between, to avoid confusion with their use in template calls etc. Also, to produce the character "|" inside the TeX code, use {{!}}.
In TeX, as in HTML, extra spaces and newlines are ignored.
Rendering
[edit]The alt text of the PNG images, which is displayed to visually impaired and other readers who cannot see the images, and is also used when the text is selected and copied, defaults to the wikitext that produced the image, excluding the <math>
and </math>
. You can override this by explicitly specifying an alt
attribute for the math
element. For example, <math alt="Square root of pi">\sqrt{\pi}</math>
generates an image whose alt text is "Square root of pi".
Apart from function and operator names, as is customary in mathematics for variables, letters are in italics; digits are not. For other text, (like variable labels) to avoid being rendered in italics like variables, use \text
, \mbox
, or \mathrm
. You can also define new function names using \operatorname{...}
. For example, <math>\text{abc}</math>
gives . You can also define new function names using \operatorname{...}
.
Special characters
[edit]The following symbols are reserved characters that either have a special meaning under LaTeX or are unavailable in all the fonts.
# $ % ^ & _ { } ~ \
Some of these can be entered with a backslash in front:
<math>\# \$ \% \& \_ \{ \} </math>
gives
Others have special names:
<math> \hat{} \quad \tilde{} \quad \backslash </math>
gives
TeX and HTML
[edit]Before introducing TeX markup for producing special characters, it should be noted that, as this comparison table shows, sometimes similar results can be achieved in HTML (see help about special characters).
TeX Syntax (forcing PNG) | TeX Rendering | HTML Syntax | HTML Rendering |
---|---|---|---|
<math>\alpha</math>
|
{{math|<var>α</var>}}
|
α | |
<math> f(x) = x^2\,</math>
|
{{math|''f''(<var>x</var>) {{=}} <var>x</var><sup>2</sup>}}
|
f(x) = x2 | |
<math>\sqrt{2}</math>
|
{{math|{{radical|2}}}}
|
√2 | |
<math>\sqrt{1-e^2}</math>
|
{{math|{{radical|1 − ''e''²}}}}
|
√1 − e² |
The codes on the left produce the symbols on the right, but the latter can also be put directly in the wikitext, except for ‘=’.
Syntax | Rendering |
---|---|
α β γ δ ε ζ η θ ι κ λ μ ν ξ ο π ρ σ ς τ υ φ χ ψ ω Γ Δ Θ Λ Ξ Π Σ Φ Ψ Ω |
α β γ δ ε ζ η θ ι κ λ μ ν ξ ο π ρ σ ς τ υ φ χ ψ ω Γ Δ Θ Λ Ξ Π Σ Φ Ψ Ω |
∫ ∑ ∏ √ − ± &infty; ≈ ∝ {{=}} ≡ ≠ ≤ ≥ × ⋅ ÷ ∂ ′ ″ ∇ ‰ ° ∴ Ø ø ∈ ∉ ∩ ∪ ⊂ ⊃ ⊆ ⊇ ¬ ∧ ∨ ∃ ∀ ⇒ ⇔ → ↔ ↑ ℵ - – — |
∫ ∑ ∏ √ − ± ∞ ≈ ∝ = ≡ ≠ ≤ ≥ × ⋅ ÷ ∂ ′ ″ ∇ ‰ ° ∴ Ø ø ∈ ∉ ∩ ∪ ⊂ ⊃ ⊆ ⊇ ¬ ∧ ∨ ∃ ∀ ⇒ ⇔ → ↔ ↑ ℵ - – — |
The project has settled on both HTML and TeX because each has advantages in some situations.
Pros of HTML
[edit]- Formulas in HTML behave more like regular text. In-line HTML formulae always align properly with the rest of the HTML text and, to some degree, can be cut-and-pasted (this is not a problem if TeX is rendered using MathJax, and the alignment should not be a problem for PNG rendering once bug 32694 is fixed).
- The formula’s background and font size match the rest of HTML contents (this can be fixed on TeX formulas by using the commands
\pagecolor
and\definecolor
) and the appearance respects CSS and browser settings while the typeface is conveniently altered to help you identify formulae. - Pages using HTML code for formulae use less data to transmit, which is important to users with slow or capped Internet connections (e.g. those using dialup or mobile Internet connections which are either slow or have a data cap).
- Formulae typeset with HTML code will be accessible to client-side script links (a.k.a. scriptlets).
- The display of a formula entered using mathematical templates can be conveniently altered by modifying the templates involved; this modification will affect all relevant formulae without any manual intervention.
- The HTML code, if entered diligently, will contain all semantic information to transform the equation back to TeX or any other code as needed. It can even contain differences TeX does not normally catch, e.g.
{{math|''i''}}
for the imaginary unit and{{math|<var>i</var>}}
for an arbitrary index variable. - Formulae using HTML code will render as sharp as possible no matter what device is used to render them.
Pros of TeX
[edit]- TeX is semantically more precise than HTML.
- In TeX, "
<math>x</math>
" means "mathematical variable ", whereas in HTML "x
" is generic and somewhat ambiguous. - On the other hand, if you encode the same formula as "
{{math|<var>x</var>}}
", you get the same visual result x and no information is lost. This requires diligence and more typing that could make the formula harder to understand as you type it. However, since there are far more readers than editors, this effort is worth considering if no other rendering options are available (such as MathJax, which was requested on bug 31406 for use on Wikimedia wikis and is being implemented on Extension:Math as a new rendering option).
- In TeX, "
- One consequence of point 1 is that TeX code can be transformed into HTML, but not vice-versa.[1] This means that on the server side we can always transform a formula, based on its complexity and location within the text, user preferences, type of browser, etc. Therefore, where possible, all the benefits of HTML can be retained, together with the benefits of TeX. It is true that the current situation is not ideal, but that is not a good reason to drop information/contents. It is more a reason to help improve the situation.
- Another consequence of point 1 is that TeX can be converted to MathML (e.g. by MathJax) for browsers which support it, thus keeping its semantics and allowing the rendering to be better suited for the reader’s graphic device.
- TeX is the preferred text formatting language of most professional mathematicians, scientists, and engineers writing in English. It is easier to persuade them to contribute if they can write in TeX.
- TeX has been specifically designed for typesetting formulae, so input is easier and more natural if you are accustomed to it, and output is more aesthetically pleasing if you focus on a single formula rather than on the whole containing page.
- Once a formula is done correctly in TeX, it will render reliably, whereas the success of HTML formulae is somewhat dependent on browsers or versions of browsers. Another aspect of this dependency is fonts: the serif font used for rendering formulae is browser-dependent and it may be missing some important glyphs. While the browser generally capable to substitute a matching glyph from a different font family, it need not be the case for combined glyphs (compare ‘ a̅ ’ and ‘ a̅ ’).
- When writing in TeX, editors need not worry about whether this or that version of this or that browser supports this or that HTML entity. The burden of these decisions is put on the software. This does not hold for HTML formulae, which can easily end up being rendered wrongly or differently from the editor’s intentions on a different browser.[2]
- TeX formulae, by default, render larger and are usually more readable than HTML formulae and are not dependent on client-side browser resources, such as fonts, and so the results are more reliably WYSIWYG.
- While TeX does not assist you in finding HTML codes or Unicode values (which you can obtain by viewing the HTML source in your browser), cutting and pasting from a TeX PNG in Wikipedia into simple text will return the LaTeX source.
- ^ unless your wikitext follows the style of point 1.2
- ^ The entity support problem is not limited to mathematical formulae though; it can be easily solved by using the corresponding characters instead of entities, as the character repertoire links do, except for cases where the corresponding glyphs are visually indiscernible (e.g. – for ‘–’ and − for ‘−’).
In some cases it may be the best choice to use neither TeX nor the html-substitutes, but instead the simple ASCII symbols of a standard keyboard (see below, for an example).
Functions, symbols, special characters
[edit]Accents/diacritics
[edit]\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}
|
|
\check{a} \bar{a} \ddot{a} \dot{a}
|
Standard functions
[edit]\sin a \cos b \tan c
|
|
\sec d \csc e \cot f
|
|
\arcsin h \arccos i \arctan j
|
|
\sinh k \cosh l \tanh m \coth n
|
|
\operatorname{sh}o\,\operatorname{ch}p\,\operatorname{th}q
|
|
\operatorname{arsinh}r\,\operatorname{arcosh}s\,\operatorname{artanh}t
|
|
\lim u \limsup v \liminf w \min x \max y
|
|
\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g
|
|
\deg h \gcd i \Pr j \det k \hom l \arg m \dim n
|
Modular arithmetic
[edit]s_k \equiv 0 \pmod{m}
|
|
a\,\bmod\,b
|
Derivatives
[edit]\nabla \, \partial x \, dx \, \dot x \, \ddot y\, dy/dx\, \frac{dy}{dx}\, \frac{\partial^2 y}{\partial x_1\,\partial x_2}
|
Sets
[edit]\forall \exists \empty \emptyset \varnothing
|
|
\in \ni \not\in \notin \not\ni \subset \subseteq \supset \supseteq
|
|
\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus
|
|
\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup
|
Operators
[edit]+ \oplus \bigoplus \pm \mp -
|
|
\times \otimes \bigotimes \cdot \circ \bullet \bigodot
|
|
\star * / \div \frac{1}{2}
|
Logic
[edit]\land (or \and) \wedge \bigwedge \bar{q} \to p
|
|
\lor \vee \bigvee \lnot \neg q \And
|
Root
[edit]\sqrt{2} \sqrt[n]{x}
|
Relations
[edit]\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}
|
|
< \le \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto
|
\equiv \not \equiv \neq {\mbox{or}}\neq \propto \,}"/> |
\lessapprox \lesssim \eqslantless \leqslant \leqq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox
|
Geometric
[edit]\Diamond \Box \triangle \angle \perp \mid \nmid \| 45^\circ
|
Arrows
[edit]\leftarrow (or \gets) \rightarrow (or \to) \nleftarrow \nrightarrow \leftrightarrow \nleftrightarrow \longleftarrow \longrightarrow \longleftrightarrow
|
|
\Leftarrow \Rightarrow \nLeftarrow \nRightarrow \Leftrightarrow \nLeftrightarrow \Longleftarrow (or \impliedby) \Longrightarrow (or \implies) \Longleftrightarrow (or \iff)
|
|
\uparrow \downarrow \updownarrow \Uparrow \Downarrow \Updownarrow \nearrow \searrow \swarrow \nwarrow
|
|
\rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft \upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \leftrightharpoons
|
|
\curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \Rrightarrow \rightarrowtail \looparrowright
|
|
\curvearrowright \circlearrowright \Rsh \downdownarrows \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft
|
|
\mapsto \longmapsto \hookrightarrow \hookleftarrow \multimap \leftrightsquigarrow \rightsquigarrow
|
Special
[edit]\And \eth \S \P \% \dagger \ddagger \ldots \cdots \colon
|
|
\smile \frown \wr \triangleleft \triangleright \infty \bot \top
|
|
\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar
|
|
\ell \mho \Finv \Re \Im \wp \complement
|
|
\diamondsuit \heartsuit \clubsuit \spadesuit \Game \flat \natural \sharp
|
Unsorted (new stuff)
[edit] \vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown
|
|
\square \blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge
|
|
\veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes
|
|
\rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant
|
|
\eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq
|
|
\fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft
|
|
\Vvdash \bumpeq \Bumpeq \eqsim \gtrdot
|
|
\ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq
|
|
\Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \between \shortparallel \pitchfork
|
|
\varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq
|
|
\lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid
|
|
\nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr
|
|
\subsetneq
|
|
\ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq
|
|
\succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq
|
|
\nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq
|
|
\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus
|
|
\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq
|
|
\dashv \asymp \doteq \parallel
|
|
\ulcorner \urcorner \llcorner \lrcorner
|
|
\Coppa\coppa\Digamma\Koppa\koppa\Sampi\sampi\Stigma\stigma\varstigma
|
Larger expressions
[edit]Subscripts, superscripts, integrals
[edit]Feature | Syntax | How it looks rendered | |
---|---|---|---|
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}} |
||
Preceding and/or Additional sub & super | _nP_k |
||
\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} |
|||
Derivatives | x', y'', f', f'' |
||
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} |
|||
\not 1 \ \cancel{123} |
|||
Arrows | A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C |
||
Overbraces | \overbrace{ 1+2+\cdots+100 }^{\text{sum}\,=\,5050} |
||
Underbraces | \underbrace{ a+b+\cdots+z }_{26\text{ terms}} |
||
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
[edit]Feature | Syntax | How it looks rendered |
---|---|---|
Fractions | \frac{1}{2}=0.5
|
|
Small ("text style") fractions | \tfrac{1}{2} = 0.5
|
|
Large ("display style") fractions | \dfrac{k}{k-1} = 0.5
|
|
Mixture of large and small fractions | \dfrac{ \tfrac{1}{2}[1-(\tfrac{1}{2})^n] }{ 1-\tfrac{1}{2} } = s_n
|
|
Continued fractions (note the difference in formatting) | \cfrac{2}{ c + \cfrac{2}{ d + \cfrac{1}{2} } } = a \qquad \dfrac{2}{ c + \dfrac{2}{ d + \dfrac{1}{2} } } = a |
|
Binomial coefficients | \binom{n}{k}
|
|
Small ("text style") binomial coefficients | \tbinom{n}{k}
|
|
Large ("display style") 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) |
||
Arrays | \begin{array}{|c|c||c|} a & b & S \\ \hline 0&0&1\\ 0&1&1\\ 1&0&1\\ 1&1&0 \end{array} |
|
Cases | f(n) = \begin{cases} n/2, & \mbox{if }n\mbox{ is even} \\ 3n+1, & \mbox{if }n\mbox{ is odd} \end{cases} |
|
System of equations | \begin{cases} 3x + 5y + z &= 1 \\ 7x - 2y + 4z &= 2 \\ -6x + 3y + 2z &= 3 \end{cases} |
|
Breaking up a long expression so it wraps when necessary | <math>f(x) = \sum_{n=0}^\infty a_n x^n</math> <math>= a_0 + a_1x + a_2x^2 + \cdots</math> |
|
Multiline equations | \begin{align} f(x) & = (a+b)^2 \\ & = a^2+2ab+b^2 \end{align} |
|
\begin{alignat}{2} f(x) & = (a-b)^2 \\ & = a^2-2ab+b^2 \end{alignat} |
||
Multiline equations with aligment specified (left, center, right) | \begin{array}{lcl} z & = & a \\ f(x,y,z) & = & x + y + z \end{array} |
|
\begin{array}{lcr} z & = & a \\ f(x,y,z) & = & x + y + z \end{array} |
Parenthesizing big expressions, brackets, bars
[edit]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
|
|
Braces (note the backslash before the braces in the code) | \left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace
|
|
Angle brackets | \left \langle \frac{a}{b} \right \rangle
|
|
Bars and double bars (note: "bars" provide the absolute value function) | \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
|
|
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 are both used
|
\left [ 0,1 \right ) \left \langle \psi \right |
|
|
Use \left. or \right. if you don't want a delimiter to appear:
|
\left . \frac{A}{B} \right \} \to X
|
|
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
|
||
\big| \Big| \bigg| \Bigg| \dots \Bigg\| \bigg\| \Big\| \big\|
|
||
\big\lfloor \Big\lfloor \bigg\lfloor \Bigg\lfloor \dots \Bigg\rceil \bigg\rceil \Big\rceil \big\rceil
|
||
\big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow \dots \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow
|
||
\big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow \dots \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow
|
||
\big / \Big / \bigg / \Bigg / \dots \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash
|
Alphabets and typefaces
[edit]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
|
|
\Eta \Theta \Iota \Kappa \Lambda \Mu
|
|
\Nu \Xi \Omicron \Pi \Rho \Sigma \Tau
|
|
\Upsilon \Phi \Chi \Psi \Omega
|
|
\alpha \beta \gamma \delta \epsilon \zeta
|
|
\eta \theta \iota \kappa \lambda \mu
|
|
\nu \xi \omicron \pi \rho \sigma \tau
|
|
\upsilon \phi \chi \psi \omega
|
|
\varepsilon \digamma \vartheta \varkappa
|
|
\varpi \varrho \varsigma \varphi
|
|
Blackboard Bold/Scripts | |
\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}
|
|
\C \N \Q \R \Z
|
|
boldface (vectors) | |
\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}
|
|
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{\Omicron} \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{\omicron} \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
[edit]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 (archived) 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
[edit]Spacing
[edit]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
|
Automatic spacing may be broken in very long expressions (because they produce an overfull hbox in TeX):
<math>0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\cdots</math>
This can be remedied by putting a pair of braces { } around the whole expression:
<math>{0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\cdots}</math>
Empty horizontal or vertical spacing
[edit]The phantom
commands create empty horizontal and/or vertical space the same height and/or width of the argument.
Feature | Syntax | How it looks rendered |
---|---|---|
Empty horizontal and vertical spacing | \Gamma^{\phantom{i}j}_{i\phantom{j}k}
|
|
Empty vertical spacing | -e\sqrt{\vphantom{p'}p},\; -e'\sqrt{p'},\; \ldots
|
|
Empty horizontal spacing | \int u^2\,du=\underline{\hphantom{(2/3)u^3+C}}
|
Alignment with normal text flow
[edit]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.
Commutative diagrams
[edit]To make a commutative diagram, there are three steps:
- Write the diagram in TeX
- Convert to SVG
- Upload the file to Wikimedia Commons
Diagrams in TeX
[edit]Xy-pic (online manual) is the most powerful and general-purpose diagram package in TeX.
Simpler packages include:
The following is a template for Xy-pic, together with a hack to increase the margins in dvips, so that the diagram is not truncated by over-eager cropping (suggested in TUGboat TUGboat, Volume 17 1996, No. 3):
\documentclass{amsart}
\usepackage[all, ps]{xy} % Loading the XY-Pic package
% Using postscript driver for smoother curves
\usepackage{color} % For invisible frame
\begin{document}
\thispagestyle{empty} % No page numbers
\SelectTips{eu}{} % Euler arrowheads (tips)
\setlength{\fboxsep}{0pt} % Frame box margin
{\color{white}\framebox{{\color{black}$$ % Frame for margin
\xymatrix{ % The diagram is a 3x3 matrix
%%% Diagram goes here %%%
}
$$}}} % end math, end frame
\end{document}
If the document class \documentclass[preview]{standalone}
is used instead, then the outputted pdf file is automatically cropped.[1]
Convert to SVG
[edit]Once you have produced your diagram in LaTeX (or TeX), you can convert it to an SVG file using the following sequence of commands:
pdflatex file.tex pdfcrop --clip file.pdf tmp.pdf pdf2svg tmp.pdf file.svg (rm tmp.pdf at the end)
pdflatex and the pdfcrop and pdf2svg utilities are needed for this procedure.
If you do not have these programs, you can also use the commands
latex file.tex dvipdfm file.dvi
to get a PDF version of your diagram.
Programs
[edit]In general, you will not be able to get anywhere with diagrams without TeX and Ghostscript, and the inkscape
program is a useful tool for creating or modifying your diagrams by hand. There is also a utility pstoedit
which supports direct conversion from Postscript files to many vector graphics formats, but it requires a non-free plugin to convert to SVG, and regardless of the format, this editor has not been successful in using it to convert diagrams with diagonal arrows from TeX-created files.
These programs are:
- a working TeX distribution, such as TeX Live
- Ghostscript
- pstoedit
- Inkscape
Upload the file
[edit]As the diagram is your own work, upload it to Wikimedia Commons, so that all projects (notably, all languages) can use it without having to copy it to their language's Wiki. (If you've previously uploaded a file to somewhere other than Commons, transwiki it to Commons.)
- Check size
- Before uploading, check that the default size of the image is neither too large nor too small by opening in an SVG application and viewing at default size (100% scaling), otherwise adjust the
-y
option todvips
. - Name
- Make sure the file has a meaningful name.
- Upload
- Login to Wikimedia Commons, then upload the file; for the Summary, give a brief description.
Now go to the image page and add a description, including the source code, using this template (using {{Information}}
):
{{Information |Description = {{en| Description [[:en:Link to WP page|topic]]}} |Source = {{own}} Created as per: [[:en:meta:Help:Displaying a formula#Commutative diagrams]]; source code below. |Date = The Creation Date, like 1999-12-31 |Author = [[User:YourUserName|Your Real Name]] |Permission = Public domain; (or other license) see below. }} == LaTeX source == <source lang="latex"> % LaTeX source here </source> == [[Commons:Copyright tags|Licensing]]: == {{self|PD-self (or other license)|author=[[User:YourUserName|Your Real Name]]}} [[Category:Descriptive categories, such as "Group theory"]] [[Category:Commutative diagrams]]
- Source code
- Include the source code in the image page, in a
LaTeX source
section, so that the diagram can be edited in future. - Include the complete
.tex
file, not just the fragment, so future editors do not need to reconstruct a compilable file.
- License
- The most common license for commutative diagrams is
PD-self
; some usePD-ineligible
, especially for simple diagrams, or other licenses. Please do not use the GFDL, as it requires the entire text of the GFDL to be attached to any document that uses the diagram. - Description
- If possible, link to a Wikipedia page relevant to the diagram.
- Category
- Include
[[Category:Commutative diagrams]]
, so that it appears in commons:Category:Commutative diagrams. There are also subcategories, which you may choose to use. - Include image
- Now include the image on the original page via
[[Image:Diagram.svg]]
Examples
[edit]A sample conforming diagram is commons:Image:PSU-PU.svg.
Chemistry
[edit]There are two ways to render chemical sum formulae as used in chemical equations:
<math chem>
<chem>
<chem>X</chem>
is short for <math chem>\ce{X}</math>
.
(where X
is a chemical sum formula)
Technically, <math chem>
is a math
tag with the extension mhchem
enabled, according to the mathjax documentation.
Note, that the commands \cee
and \cf
are disabled, because they are marked as deprecated in the mhchem LaTeX package documentation.
If the formula reaches a certain "complexity", spaces might be ignored (<chem>A + B</chem>
might be rendered as if it were <chem>A+B</chem>
with a positive charge). In that case, write <chem>A{} + B</chem>
(and not <chem>{A} + {B}</chem>
as was previously suggested). This will allow auto-cleaning of formulae once the bug will be fixed and/or a newer mhchem
version will be used.
See examples below.
Examples
[edit]Chemistry
[edit]<chem>C6H5-CHO</chem>
<chem>\mathit{A} ->[\ce{+H2O}] \mathit{B}</chem>
[{\ce {+H2O}}]{\mathit {B}}}}}"/>
<math chem>A \ce{->[\ce{+H2O}]} B</math>
[{\ce {+H2O}}]}}B}"/>
<chem>SO4^2- + Ba^2+ -> BaSO4 v</chem>
BaSO4 v}}}"/>
<chem>H2NCO2- + H2O <=> NH4+ + CO3^2-</chem>
NH4+ + CO3^2-}}}"/>
<chem>H2O</chem>
<chem>Sb2O3</chem>
<chem>H+</chem>
<chem>CrO4^2-</chem>
<chem>AgCl2-</chem>
<chem>[AgCl2]-</chem>
<chem>Y^{99}+</chem>
<chem>Y^{99+}</chem>
<chem>H2_{(aq)}</chem>
<chem>NO3-</chem>
<chem>(NH4)2S</chem>
Quadratic Polynomial
[edit]
<math>ax^2 + bx + c = 0</math>
Quadratic Polynomial (Force PNG Rendering)
[edit]
<math>ax^2 + bx + c = 0\,</math>
Quadratic Formula
[edit]
<math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>
Tall Parentheses and Fractions
[edit]
<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
[edit]
<math>\int_a^x \!\!\!\int_a^s f(y)\,dy\,ds
= \int_a^x f(y)(x-y)\,dy</math>
Summation
[edit]
<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
[edit]
<math>u'' + p(x)u' + q(x)u=f(x),\quad x>a</math>
a}"/>
Complex numbers
[edit]
<math>|\bar{z}| = |z|,
|(\bar{z})^n| = |z|^n,
\arg(z^n) = n \arg(z)</math>
Limits
[edit]
<math>\lim_{z\rightarrow z_0} f(z)=f(z_0)</math>
Integral Equation
[edit]
<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
[edit]
<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
[edit]
<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
[edit]
<math>{}_pF_q(a_1,\dots,a_p;c_1,\dots,c_q;z)
= \sum_{n=0}^\infty
\frac{(a_1)_n\cdots(a_p)_n}{(c_1)_n\cdots(c_q)_n}
\frac{z^n}{n!}</math>
Fraction and small fraction
[edit]<math> \frac {a}{b}\ \tfrac {a}{b} </math>
Bug reports
[edit]Discussions, bug reports and feature requests should go to the Wikitech-l mailing list. These can also be filed on Mediazilla under MediaWiki extensions.
Future
[edit]In the future, once the MathJax option which was added to the Math extension is stable enough, it may be enabled on Wikimedia wikis (per bug 31406) as a better alternative for the PNG rendering of TeX formulas. MathJax is a JavaScript library for inline rendering of mathematical formulae, and can be used to translate LaTeX into MathML for direct interpretation by the browser.
See also
[edit]- Comparison between ParserFunctions syntax and TeX syntax
- Typesetting of mathematical formulas
- Score — extension for music markup
- Table of mathematical symbols
- mw:Extension:Blahtex, or blahtex: a LaTeX to MathML converter for Wikipedia
- General help for editing a Wiki page
- Mimetex alternative for another way to display mathematics using Mimetex.cgi
Notes
[edit]- ↑ "How to make a standalone document with one equation?". StackExchange.
External links
[edit]- A LaTeX tutorial
- LaTeX, A Short Course: Typesetting Mathematics
- A paper introducing TeX—see page 39 onwards for a good introduction to the maths side of things.
- A paper introducing LaTeX—skip to page 49 for the math section. See page 63 for a complete reference list of symbols included in LaTeX and AMS-LaTeX.
- The Comprehensive LaTeX Symbol List
- Comprehensive List of Mathematical Symbols
- AMS-LaTeX guide
- A set of public domain fixed-size math symbol bitmaps
- MathML: A product of the W3C Math working group, is a low-level specification for describing mathematics as a basis for machine to machine communication.
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- Show preview · Reverting edits
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