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{{TOCright}}{{Wikipedia how-to}}{{Commons Import}}
{{Wikipedia how-to}}
{{Commons Import}}
[[File:Editing a formula using VisualEditor.png|thumb|This screenshot shows the formula {{math|1=''E'' = ''mc''{{smallsup|2}}}} being edited using [[VisualEditor]]. The visual editor shows a button that allows to choose one of three offered modes to display a formula.]]
 
 
There are three methods for displaying formulas in Wikipedia: raw HTML, HTML with math templates (abbreviated here as {{tl|math}}), and a subset of LaTeX implemented with the HTML markup <syntaxhighlight lang="html5" inline><math></math></syntaxhighlight> (referred to as ''LaTeX'' in this article). Each method has some advantages and some disadvantages, which have evolved over the time with improvements of MediaWiki. The manual of style for math has not always evolved accordingly. So the how-to recommendations that appear below may differ from those of the manual of style.
[[File:Editing a formula using VisualEditor.png|thumb|This screenshot shows the formula {{math|1=''E'' = ''mc''{{smallsup|2}}}} being edited using [[wikipedia:VisualEditor|VisualEditor]]. The visual editor shows a button that allows to choose one of three offered modes to display a formula.]]
 
Math is rendered in EMEA Support Wiki's by TeX using Mathoid. There are three methods for displaying formulas in mediawiki: raw HTML, HTML with math templates (abbreviated here as {{tl|math}}), and a subset of LaTeX implemented with the HTML markup <syntaxhighlight lang="html5" inline><math></math></syntaxhighlight> (referred to as ''LaTeX'' in this article). Each method has some advantages and some disadvantages, which have evolved over the time with improvements of MediaWiki. The manual of style for math has not always evolved accordingly. So the how-to recommendations that appear below may differ from those of the manual of style.<ref>[[mediawikiwiki:Extension:Math/Help:Formula|Extension:Math/Help:Formula (Mediawiki-Wiki)]]</ref>
<ref>[[metawikimedia:Help:Displaying a formula |Help:Displaying a formula (Wiki-Source)]]</ref>
<ref>[[wikipedia:Help:Displaying_a_formula |Help:Displaying_a_formula (Wikipedia) ]]</ref>
<ref>[https://web.archive.org/web/20160305074303/https://www.math.upenn.edu/tex-stuff/cookbook.pdf {{TeX}} Cookbook]{{space}}[[Media:Tex-cookbook.pdf | local copy]]</ref>
 
For example, the famous Einstein formula can be entered in raw HTML as <syntaxhighlight lang="html5" inline>{{nowrap|''E'' {{=}} ''mc''<sup>2</sup>}}</syntaxhighlight>, which is rendered as {{nowrap|''E'' {{=}} ''mc''<sup>2</sup>}} (the template {{tl|nowrap}} is here only for avoiding a line break inside the formula). With {{tl|math}}, it can be entered as <syntaxhighlight lang="html5" inline>{{math|''E'' {{=}} ''mc''{{sup|2}}}}</syntaxhighlight>, which is rendered as {{math|''E'' {{=}} ''mc''{{sup|2}}}}. With LaTeX, it is entered as <syntaxhighlight lang="html5" inline><math>E=mc^2</math></syntaxhighlight>, and rendered as <math>E=mc^2</math>.
 
 
==Use of raw HTML==
Line 19 ⟶ 23:
{{anchor|LaTeX vs. math template}}
 
These two ways of writing mathematical formulas each have their advantages and disadvantages. They are both accepted by the manual of style [[wikipedia:MOS:MATH|manual of style]]. The rendering of variable names is very similar. So having a variable name displayed in the same paragraph with {{tlx|math}} and <syntaxhighlight lang="html5" inline><math></syntaxhighlight> is generally not a problem.
 
The disadvantages of LaTeX are the following:
On some browser configurations, LaTeX inline formulas appear with a slight vertical misalignment, or with a font size that is slightly different from that of the surrounding text. This is not a problem with a block displayed formula. This is generally also not a real problem with inline formulas that exceed the normal line height (for example formulas with subscripts and superscripts).
Also, the use of LaTeX in a [[WPwikipedia:piped link|piped link]] or in a section heading should appear in blue in the linked text or the table of content, but they do not. Moreover, links to section headings containing LaTeX formulas do not work always as expected.
Finally, too many LaTeX formulas may significantly increase the processing time of a page. LaTeX formulas should be avoided in image captions, because when the image is clicked for a larger display, LaTeX in the caption will not render.
 
The disadvantages of {{tl|math}} are the following:
not all formulas can be displayed. While it is possible to render a complicated formula with {{tl|math}}, it is often poorly rendered. Except for the most common ones, the rendering of non-alphanumeric [[Unicode]] symbols is often very poor and may depend on the browser configuration (misalignment, wrong size, ...). The spaces inside formulas are not managed automatically, and thus need some expertise for being rendered correctly. Except for short formulas, many more characters have to be typed for entering a formula, and the source is more difficult to read.
 
Therefore, the common practice of most members of [[WPwikipedia:WPM|WikiProject mathematics]] is the following:
* Use of {{tl|mvar}} and {{tl|math}} for isolated variables and very simple inline formulas
* Use of {{tl|mvar}} and {{tl|math}} for formulas in image captions, even if the rendering is mediocre
* Use of LaTeX for displayed formulas and more complicated inline formulas
* Use of LaTeX for formulas involving symbols that are not regularly rendered in Unicode (see [[wikipedia:MOS:BBB]])
* Avoid formulas in section headings, and when this is a problem, use raw HTML (see [[wikipedia:Finite field|Finite field]] for an example)
 
The choice between {{tl|math}} and LaTeX depends on the editor. So converting from a format to another one must be done with stronger reasons than editor preference.
Line 40 ⟶ 44:
=== Display format of LaTeX ===
{{see also|mw:Extension:Math}}
By default SVG images with non-visible [[wikipedia:MathML|MathML]] are generated. The text-only form of the LaTeX can be set via [[Help:Preferences|user preferences]] at [[Special:Preferences#mw-prefsection-rendering|My Preferences – Appearance – Math]].
 
The hidden MathML can be used by screen readers and other assistive technology. To display the MathML in Firefox:
 
* Install the [https://addons.mozilla.org/en-US/firefox/addon/native-mathml/ Native MathML] extension
* Or copy [https://github.com/fred-wang/webextension-native-mathml/blob/master/content-scripts/mediawiki.css its CSS rules] to your Wikipedia [[wikipedia:Help:User style|user stylesheet]].
 
In either case, you must have fonts that support MathML ([https://developer.mozilla.org/en-US/docs/Mozilla/MathML_Project/Fonts see developer.mozilla.org]) installed on your system. For copy-paste support in Firefox, you can also install [https://addons.mozilla.org/en-US/firefox/addon/mathml-copy/ MathML Copy].
 
==Use of HTML templates==
{{Shortcut|WP:MATHSYMBOL}}
{{See also|Wikipedia:Rendering math}}
TeX markup is not the only way to render mathematical formulas. For simple inline formulas, the template {{tl|math}} and its associated templates are often preferred. The following comparison table shows that similar results can be achieved with the two methods. See also [[wikipedia:Help:Special characters]].
 
{| class="wikitable"
Line 82 ⟶ 85:
| {{math|{{abs|''z'' + 1}} &le; 2}}
|}
 
===HTML entities===
 
Though Unicode characters are generally preferred, sometimes HTML entities are needed to avoid problems with wiki syntax or confusion with other characters:
 
{{aligned table|cols=10|style=text-align:center;|row1class=unicode|row2class=mw-code
| &lt; | &gt; | &minus; | &bull; |&prime; | &Prime; | &sdot; | &middot;| &ndash; | &mdash;
| &amp;lt; | &amp;gt; | &amp;minus; | &amp;bull; | &amp;prime; | &amp;Prime; | &amp;sdot; | &amp;middot; | &amp;ndash; | &amp;mdash; }}
 
In the table below, the codes on the left produce the symbols on the right, but these symbols can also be entered directly in the wikitext either by typing them if they are available on the keyboard, by copy-pasting them, or by using menus below the edit windows. (When editing any Wikipedia page in a desktop web browser, use the "Insert" pulldown menu immediately below the article text, or the "Special characters" menu immediately above the article text.) Normally, lowercase Greek letters should be entered in italics, that is, enclosed between two single quotes (<syntaxhighlight lang="html5" inline>''</syntaxhighlight>).
 
{| class="wikitable" border=1 <!--set border for MSIE browsers-->
|-
! HTML syntax
! Rendering
|- style="vertical-align:middle;"
|
<pre>&amp;alpha; &amp;beta; &amp;gamma; &amp;delta; &amp;epsilon; &amp;zeta;
&amp;eta; &amp;theta; &amp;iota; &amp;kappa; &amp;lambda; &amp;mu; &amp;nu;
&amp;xi; &amp;omicron; &amp;pi; &amp;rho; &amp;sigma; &amp;sigmaf;
&amp;tau; &amp;upsilon; &amp;phi; &amp;chi; &amp;psi; &amp;omega;</pre>
|
α β γ δ ε ζ<br>η θ ι κ λ μ ν<br>ξ ο π ρ σ ς<br>τ υ φ χ ψ ω<br>
|- style="vertical-align:middle;"
|
<pre>&amp;Gamma; &amp;Delta; &amp;Theta; &amp;Lambda; &amp;Xi; &amp;Pi;
&amp;Sigma; &amp;Phi; &amp;Psi; &amp;Omega;</pre>
|
Γ Δ Θ Λ Ξ Π<br>Σ Φ Ψ Ω
|- style="vertical-align:middle;"
| <pre>&amp;int; &amp;sum; &amp;prod; &amp;minus; &amp;plusmn; &amp;infin;
&amp;asymp; &amp;prop; = &amp;equiv; &amp;ne; &amp;le; &amp;ge;
&amp;times; &amp;middot; &amp;sdot; &amp;divide; &amp;part; &amp;prime; &amp;Prime;
&amp;nabla; &amp;permil; &amp;deg; &amp;there4; &amp;empty;</pre>
|
∫ ∑ ∏ − ± ∞<br/>≈ ∝ = ≡ ≠ ≤ ≥<br/>× · ⋅ ÷ ∂ ′ ″<br/>∇ ‰ ° ∴ ∅
|- style="vertical-align:middle;"
| <pre>&amp;isin; &amp;notin; &amp;cap; &amp;cup; &amp;sub; &amp;sup; &amp;sube; &amp;supe;
&amp;not; &amp;and; &amp;or; &amp;exist; &amp;forall;
&amp;rArr; &amp;hArr; &amp;rarr; &amp;harr; &amp;uarr; &amp;darr;
&amp;alefsym; - &amp;ndash; &amp;mdash;</pre>
|
∈ ∉ ∩ ∪ ⊂ ⊃ ⊆ ⊇<br>¬ ∧ ∨ ∃ ∀<br/>⇒ ⇔ → ↔ ↑ ↓<br/>ℵ - – —
|}
 
===Superscripts and subscripts===
{{aligned table|cols=3|style=text-align:center;|row1class=unicode|row2class=mw-code|x<sup>2</sup> | x<sub>3</sub> | x{{su|p=2|b=1}} |<nowiki>x<sup>2</sup></nowiki>|<nowiki>x<sub>3</sub></nowiki>|<nowiki>x{{su|p=2|b=1}}</nowiki>}}
 
===Spacing===
To avoid line-wrapping in the middle of a formula, use {{tl|math}}. If necessary, a non-breaking space (&nbsp;) can be inserted with "&amp;nbsp;".
 
Typically [[wikipedia:whitespace character|whitespace]] should be a regular space ( ) or none at all. In rare circumstances, such as where one character overlaps another due to one being in italics, a thin space can be added with {{tl|thin space}}.
 
== Fractions ==
Line 102 ⟶ 157:
 
Fractions can also be made with the TeX, but they do not match the Mediawiki typeface.
 
== Functions ==
 
Functions are rendered in EMEA Support Wiki's by TeX using Mathoid. The text here is from the following sources:
* [[mediawikiwiki:Help:Displaying a formula |Help:Displaying a formula (Meta-Wiki)]]
* [[wikisource:Help:Fractions_and_functions |Help:Fractions_and_functions (Wiki-Source)]]
* [[wikipedia:Help:Displaying_a_formula |Help:Displaying_a_formula (Wikipedia) ]]
* [https://web.archive.org/web/20160305074303/https://www.math.upenn.edu/tex-stuff/cookbook.pdf {{TeX}} Cookbook], [[Media:Tex-cookbook.pdf | Local Copy]]
 
==General==
Line 124 ⟶ 171:
=== Special characters ===
 
{{markupv
<nowiki><math>\text {abcdefghijklmnopqrstuvwxyzàáâãäåæçčďèéěêëìíîïňñòóôõöřšť÷øùúůûüýÿž}</math></nowiki>
|m=<math>\text {abcdefghijklmnopqrstuvwxyzàáâãäåæçčďèéěêëìíîïňñòóôõöřšť÷øùúůûüýÿž}</math>
<math>\text {abcdefghijklmnopqrstuvwxyzàáâãäåæçčèéêëìíîïñòóôõö÷øùúûüýÿ}\,</math>
|r=<nowiki><math>\text {abcdefghijklmnopqrstuvwxyzàáâãäåæçčďèéěêëìíîïňñòóôõöřšť÷øùúůûüýÿž}</math></nowiki>
<nowiki><math>\text {abcdefghijklmnopqrstuvwxyzàáâãäåæçčèéêëìíîïñòóôõö÷øùúûüýÿ}\,</math></nowiki>
}}
 
 
gives:
 
 
<math>\text {abcdefghijklmnopqrstuvwxyzàáâãäåæçčďèéěêëìíîïňñòóôõöřšť÷øùúůûüýÿž}</math>
<math>\text {abcdefghijklmnopqrstuvwxyzàáâãäåæçčèéêëìíîïñòóôõö÷øùúûüýÿ}\,</math>
 
 
Or, using <code>\mbox</code> instead of <code>\text</code>, pretty much the same:
 
{{markupv
 
|m=<math>\mbox {abcdefghijklmnopqrstuvwxyzàáâãäåæçčďèéěêëìíîïňñòóôõöřšť÷øùúůûüýÿž}</math>
For example,
<math>\mbox {abcdefghijklmnopqrstuvwxyzàáâãäåæçčèéêëìíîïñòóôõö÷øùúûüýÿ}\,</math>
<nowiki><math>\mbox {abcdefghijklmnopqrstuvwxyzàáâãäåæçčďèéěêëìíîïňñòóôõöřšť÷øùúůûüýÿž}</math></nowiki>
|r=<nowiki><math>\mbox {abcdefghijklmnopqrstuvwxyzàáâãäåæçčďèéěêëìíîïňñòóôõöřšť÷øùúůûüýÿž}</math></nowiki>
<nowiki><math>\mbox {abcdefghijklmnopqrstuvwxyzàáâãäåæçčèéêëìíîïñòóôõö÷øùúûüýÿ}\,</math></nowiki>
}}
 
 
gives:
<math>\mbox {abcdefghijklmnopqrstuvwxyzàáâãäåæçčďèéěêëìíîïňñòóôõöřšť÷øùúůûüýÿž}</math>
<math>\mbox {abcdefghijklmnopqrstuvwxyzàáâãäåæçčèéêëìíîïñòóôõö÷øùúûüýÿ}\,</math>
 
 
Line 155 ⟶ 196:
<math>\text {þ}</math>
 
For producing special characters without math tags, see [[mmediawikiwiki:Help:Special characters | Special characters]].
 
Comparison:
Line 179 ⟶ 220:
 
<code><nowiki><math> \hat{} \quad \tilde{} \quad \backslash </math></nowiki></code> gives <math> \hat{} \quad \tilde{} \quad \backslash </math>
 
=={{TeX}} and HTML==
 
 
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 [[w:Help:Special characters]]).
{| class="wikitable"
|-
! <!--T:240-->
{{TeX}} Syntax ([[#Forced_PNG_rendering|forcing PNG]])
! <!--T:241-->
{{TeX}} Rendering
! <!--T:242-->
HTML Syntax
! <!--T:243-->
HTML Rendering
|-
| <code><nowiki><math>\alpha</math></nowiki></code>
| <math>\alpha</math>
| <code><nowiki>{{math|<var>&amp;alpha;</var>}}</nowiki></code>
| {{math|<var>&alpha;</var>}}
|-
| <code><nowiki><math> f(x) = x^2\,</math></nowiki></code>
| <math> f(x) = x^2\,</math>
| <code><nowiki>{{math|''f''(<var>x</var>) {{=}} <var>x</var><sup>2</sup>}}</nowiki></code>
| {{math|''f''(<var>x</var>) {{=}} <var>x</var><sup>2</sup>}}
|-
| <code><nowiki><math>\sqrt{2}</math></nowiki></code>
| <math>\sqrt{2}</math>
| <code><nowiki>{{math|{{radical|2}}}}</nowiki></code>
| {{math|{{radical|2}}}}
|-
| <code><nowiki><math>\sqrt{1-e^2}</math></nowiki></code>
| <math>\sqrt{1-e^2}</math>
| <code><nowiki>{{math|{{radical|1 &amp;minus; ''e''&amp;sup2;}}}}</nowiki></code>
| {{math|{{radical|1 &minus; ''e''&sup2;}}}}
|}
 
 
The codes on the left produce the symbols on the right, but the latter can also be put directly in the wikitext, except for &lsquo;=&rsquo;.
 
{| class="wikitable"
|-
!
Syntax
!
Rendering
|- valign="top"
|<pre><nowiki>&amp;alpha; &amp;beta; &amp;gamma; &amp;delta; &amp;epsilon; &amp;zeta;
&amp;eta; &amp;theta; &amp;iota; &amp;kappa; &amp;lambda; &amp;mu; &amp;nu;
&amp;xi; &amp;omicron; &amp;pi; &amp;rho; &amp;sigma; &amp;sigmaf;
&amp;tau; &amp;upsilon; &amp;phi; &amp;chi; &amp;psi; &amp;omega;
&amp;Gamma; &amp;Delta; &amp;Theta; &amp;Lambda; &amp;Xi; &amp;Pi;
&amp;Sigma; &amp;Phi; &amp;Psi; &amp;Omega;
</nowiki></pre>
| style="texhtml" |α β γ δ ε ζ<br
/>η θ ι κ λ μ ν<br
/>ξ ο π ρ σ ς<br
/>τ υ φ χ ψ ω<br
/>Γ Δ Θ Λ Ξ Π<br
/>Σ Φ Ψ Ω
|- valign="top"
| valign="middle" | <pre><nowiki>&amp;int; &amp;sum; &amp;prod; &amp;radic; &amp;minus; &amp;plusmn; &amp;infty;
&amp;asymp; &amp;prop; {{=}} &amp;equiv; &amp;ne; &amp;le; &amp;ge;
&amp;times; &amp;sdot; &amp;divide; &amp;part; &amp;prime; &amp;Prime;
&amp;nabla; &amp;permil; &amp;deg; &amp;there4; &amp;Oslash; &amp;oslash;
&amp;isin; &amp;notin;
&amp;cap; &amp;cup; &amp;sub; &amp;sup; &amp;sube; &amp;supe;
&amp;not; &amp;and; &amp;or; &amp;exist; &amp;forall;
&amp;rArr; &amp;hArr; &amp;rarr; &amp;harr; &amp;uarr;
&amp;alefsym; - &amp;ndash; &amp;mdash;
</nowiki></pre>
| style="texhtml" |∫ ∑ ∏ √ − ± ∞<br
/>≈ ∝ = ≡ ≠ ≤ ≥<br
/>× ⋅ ÷ ∂ ′ ″<br
/>∇ ‰ ° ∴ Ø ø<br
/>∈ ∉ ∩ ∪ ⊂ ⊃ ⊆ ⊇<br
/>¬ ∧ ∨ ∃ ∀<br
/>⇒ ⇔ → ↔ ↑<br
/>ℵ - – —
|}
 
 
The project has settled on both HTML and TeX because each has advantages in some situations.
 
===Pros of HTML===
 
 
# 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 [[w:MathJax|MathJax]], and the alignment should not be a problem for PNG rendering once [[bugzilla:32694|bug 32694]] is fixed).
# The formula&rsquo;s background and font size match the rest of HTML contents (this can be fixed on {{TeX}} formulas by using the commands [[#Color|<code>\pagecolor</code> and <code>\definecolor</code>]]) 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. <code><nowiki>{{math|''i''}}</nowiki></code> for the [[w:imaginary unit|imaginary unit]] and <code><nowiki>{{math|<var>i</var>}}</nowiki></code> 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}}===
 
 
# {{TeX}} is semantically more precise than HTML.
## In {{TeX}}, "<code><nowiki><math>x</math></nowiki></code>" means "mathematical variable <math>x</math>", whereas in HTML "<code>x</code>" is generic and somewhat ambiguous.
## On the other hand, if you encode the same formula as "<code><nowiki>{{math|<var>x</var>}}</nowiki></code>", you get the same visual result {{math|<var>x</var>}} 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 [[w:MathJax|MathJax]], which was requested on [[bugzilla:31406|bug 31406]] for use on Wikimedia wikis and [http://www.gossamer-threads.com/lists/wiki/wikitech/260990 is being implemented] on [[mw:Extension:Math|Extension:Math]] as a new rendering option).
# One consequence of point&nbsp;1 is that {{TeX}} code can be transformed into HTML, but not vice-versa.{{ref|dilHTML}} 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 [[#Bug_reports|help improve the situation]].
# Another consequence of point&nbsp;1 is that {{TeX}} can be converted to [[w:MathML|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&rsquo;s graphic device.
# {{TeX}} is the preferred text formatting language of most professional mathematicians, scientists, and engineers. 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&nbsp;&lsquo;&nbsp;<var>{{IPA|a&#773;}}</var>&nbsp;&rsquo; and&nbsp;&lsquo;&nbsp;<var style="font-family: SERIF">a&#773;</var>&nbsp;&rsquo;).
# 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&rsquo;s intentions on a different browser.{{ref|browsupp}}
# {{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.
 
 
:<small>{{note|dilHTML}} unless your wikitext follows the style of point&nbsp;1.2</small>
:<small>{{note|entHTML}} 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. &amp;ndash; for &lsquo;&ndash;&rsquo; and &amp;minus; for &lsquo;&minus;&rsquo;).</small>
 
 
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==
Line 1,119 ⟶ 1,044:
 
== Alphabets and typefaces == <!--T:65-->
[[wwikipedia:Texvc|Texvc]] cannot render arbitrary [[wwikipedia:Unicode|Unicode]] characters. Those it can handle can be entered by the expressions below.
For others, such as [[wwikipedia:Cyrillic|Cyrillic]], they can be entered as Unicode or HTML entities in running text, but cannot be used in displayed formulas.
 
<!--T:66-->
Line 1,381 ⟶ 1,306:
|}
 
== Color ==
Equations can use color with the <code>\color</code> command. For example,
 
{| class="wikitable"
<!--T:69-->
|-
Equations can use color:
! How it looks rendered
! Syntax
! Feature
|-
| <math>{\color{Blue}x^2}+{\color{Orange}2x}-{\color{LimeGreen}1}</math>
| <syntaxhighlight lang="latex" inline>{\color{Blue}x^2}+{\color{Orange}2x}-{\color{LimeGreen}1}</syntaxhighlight>
|
|-
| <math>x=\frac{{\color{Blue}-b}\pm\sqrt{\color{Red}b^2-4ac}}{\color{Green}2a}</math>
| {{nowrap|1=<syntaxhighlight lang="latex" inline>x=\frac{{\color{Blue}-b}\pm\sqrt{\color{Red}b^2-4ac}}{\color{Green}2a}</syntaxhighlight>}}
|
|}
 
The <code>\color</code> command colors all symbols to its right.
<!--T:70-->
However, if the <code>\color</code> command is enclosed in a pair of braces (e.g. <code>{\color{Red}...}</code>) then no symbols outside of those braces are affected.
*<code>{\color{Blue}x^2}+{\color{YellowOrange}2x}-{\color{OliveGreen}1}</code>
*:<math>{\color{Blue}x^2}+{\color{YellowOrange}2x}-{\color{OliveGreen}1}</math>
 
{| class="wikitable"
<!--T:71-->
*<code>x_{1,2}=\frac{-b\pm\sqrt{\color{Red}b^2-4ac}}{2a}</code>
*:<math>x_{1,2}=\frac{-b\pm\sqrt{\color{Red}b^2-4ac}}{2a}</math>
 
<!--T:72-->
It is also possible to change the background color (since [[rev:59550|r59550]]), as in the following example:
{| class=wikitable
|-
! How it looks rendered
! Background
! Syntax
! Wikicode
! Feature
! Rendering (in PNG)
|-
| <math>x\color{red}\neq y=z</math>
! rowspan=2 | White
| <syntaxhighlight lang="latex" inline>x\color{red}\neq y=z</syntaxhighlight>
| <code>e^{i \pi} + 1 = 0</code>
|
| <math>e^{i \pi} + 1 = 0\,</math>
Colors <span style="color:red;">red</span> everything to the right of <code><nowiki>\color{red}</nowiki></code>. To only color the <math>\neq</math> symbol red, place braces around <code><nowiki>\color{red}\neq</nowiki></code> or insert <code><nowiki>\color{black}</nowiki></code> to the right of <code><nowiki>\neq</nowiki></code>.
|-
| <math>x{\color{red}\neq} y=z</math>
| <code>'''\definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}'''e^{i \pi} + 1 = 0</code>
| <syntaxhighlight lang="latex" inline>x{\color{red}\neq} y=z</syntaxhighlight>
| <math>\definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}e^{i \pi} + 1 = 0\,</math></span>
|
|-
| <math>x\color{red}\neq\color{black} y=z</math>
! rowspan=2 | Orange
| <syntaxhighlight lang="latex" inline>x\color{red}\neq\color{black} y=z</syntaxhighlight>
| <code>e^{i \pi} + 1 = 0</code>
|
| style="background-color:orange;" | <math>e^{i \pi} + 1 = 0\,</math>
|-
| <math>\frac{-b\color{Green}\pm\sqrt{b^2\color{Blue}-4{\color{Red}a}c}}{2a}=x</math>
| <code>'''\definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}'''e^{i \pi} + 1 = 0</code>
| {{nowrap|1=<syntaxhighlight lang="latex" inline>\frac{-b\color{Green}\pm\sqrt{b^2\color{Blue}-4{\color{Red}a}c}}{2a}=x</syntaxhighlight>}}
| style="background-color:orange;" | <math>\definecolor{orange}{RGB}{255,165,0}\pagecolor{orange}e^{i \pi} + 1 = 0\,</math>
| The outermost braces in <code>{\color{Red}a}c</code> limit the affect of <code>\color{Red}</code> to the symbol <code>a</code>. Similarly, <code>\color{Blue}</code> does not affect any symbols outside of the <code>\sqrt{}</code> that encloses it, and <code>\color{Green}</code> does not affect any symbols outside of the numerator.
|}
 
There are several alternate notations styles
<!--T:73-->
See here for [http://oregonstate.edu/%7Epeterseb/tex/samples/docs/color-package-demo.pdf all named colors] supported by LaTeX.
 
{| class="wikitable"
<!--T:74-->
|-
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]].
! How it looks rendered
! Syntax
! Feature
|-
| <math>{\color{Blue}x^2}+{\color{Orange}2x}-{\color{LimeGreen}1}</math>
| <syntaxhighlight lang="latex" inline>{\color{Blue}x^2}+{\color{Orange}2x}-{\color{LimeGreen}1}</syntaxhighlight>
| works with both texvc and MathJax
|-
| <math>\color{Blue}x^2\color{Black}+\color{Orange}2x\color{Black}-\color{LimeGreen}1</math>
| {{nowrap|1=<syntaxhighlight lang="latex" inline>\color{Blue}x^2\color{Black}+\color{Orange}2x\color{Black}-\color{LimeGreen}1</syntaxhighlight>}}
| works with both texvc and MathJax
|-
| <math>\color{Blue}{x^2}+\color{Orange}{2x}-\color{LimeGreen}{1}</math>
| <syntaxhighlight lang="latex" inline>\color{Blue}{x^2}+\color{Orange}{2x}-\color{LimeGreen}{1}</syntaxhighlight>
| only works with MathJax
|}
 
Some color names are predeclared according to the following table, you can use them directly for the rendering of formulas (or for declaring the intended color of the page background).
 
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.
 
Latex does not have a command for setting the background color. The most effective way of setting a background color is by setting a CSS styling rule for a table cell:
<pre style="display: inline-block;">
{| class="wikitable" align="center"
| style="background-color: gray;" | <math>x^2</math>
| style="background-color: Goldenrod;" | <math>y^3</math>
|}
</pre>
 
Rendered as:
{| class="wikitable" align="center"
| style="background-color: gray;" | <math>x^2</math>
| style="background-color: Goldenrod;" | <math>y^3</math>
|}
 
Custom colors can be defined using:
<syntaxhighlight lang="latex">\definecolor{myorange}{rgb}{1,0.65,0.4}\color{myorange}e^{i \pi}\color{Black} + 1 = 0</syntaxhighlight>
 
:<math>\definecolor{myorange}{rgb}{1,0.65,0.4}\color{myorange}e^{i \pi}\color{Black} + 1 = 0</math>
 
== Formatting issues == <!--T:75-->
Line 1,492 ⟶ 1,464:
<!--T:82-->
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==
===1 step method ===
<math>
\begin{array}{lcl}
& X & \overset{f}\rightarrow & Z & \\
& g \downarrow && \downarrow g'\\
& Y & \underset{f'}\rightarrow & W & \\
\end{array}
</math>
<syntaxhighlight lang="tex"><math>
\begin{array}{lcl}
& X & \overset{f}\rightarrow & Z & \\
& g \downarrow && \downarrow g'\\
& Y & \underset{f'}\rightarrow & W & \\
\end{array}
</math></syntaxhighlight>
 
===3 step method ===
[[File:First isomorphism theorem (plain).svg|thumb|A sample commutative diagram, created in the manner described]]
To make a [[commutative diagram]], there are three steps:
 
# write the diagram in [[TeX]]
# [[#Convert to SVG|convert to SVG]]
# [[commons:Commons:First steps/Upload form|upload the file]] to [[commons:|Wikimedia Commons]]
 
====Diagrams in TeX====
 
[http://www.tug.org/applications/Xy-pic/ Xy-pic]{{efn|Use the barr option for commutative diagrams, e.g., <code>\usepackage[cmtip,all,barr]{xy}</code>.}} ([http://tex.loria.fr/graph-pack/doc-xypic/xyguide-html/xyguide-html.html online manual]) is the most powerful and general-purpose diagram package in [[TeX]]. Diagrams created using it can be found at [[commons:Category:Xy-pic diagrams|Commons: Category:Xy-pic diagrams]].
 
Simpler packages include:
 
*[[American Mathematical Society|AMS's]] [http://www.dante.de/CTAN//help/Catalogue/entries/amscd.html amscd]
*Paul Taylor's [http://www.ctan.org/tex-archive/macros/generic/diagrams/taylor/ diagrams]
*François Borceux [http://www.ctan.org/tex-archive/help/Catalogue/entries/borceux.html Diagrams]
 
The following is a template for Xy-pic:
<syntaxhighlight lang=latex>
\documentclass[border=10pt]{standalone} % Crop to size, remove page numbers, leave margin
\usepackage[all]{xy} % Loading the XY-Pic package
\begin{document}
\SelectTips{eu}{} % Euler (shorter) arrowheads (tips)
$$
\xymatrix{
%%% Diagram goes here %%%
}
$$
\end{document}
</syntaxhighlight>
 
Using postscript drivers may in some cases give smoother curves and will handle fonts differently:
<syntaxhighlight lang=latex>\usepackage[all, ps, dvips]{xy}</syntaxhighlight>
 
====Convert to SVG====
 
Once you have produced your diagram in LaTeX (or TeX), you can convert it to an SVG file using the following sequence of commands:
 
<syntaxhighlight lang=bash>
pdflatex file.tex
pdf2svg file.pdf file.svg
</syntaxhighlight>
 
The [http://pdfcrop.sourceforge.net pdfcrop] and [http://www.cityinthesky.co.uk/opensource/pdf2svg pdf2svg] utilities are needed for this procedure. You can alternatively use [http://www.pdftron.com/pdf2svg/ pdf2svg] from PDFTron for the last step.
 
If you do not have [[pdfTeX]] (which is unlikely) you can use the following commands to replace the first step (TeX → PDF):
<syntaxhighlight lang=bash>
latex file.tex
dvipdfm file.dvi
</syntaxhighlight>
 
In general, you will not be able to get anywhere with diagrams without TeX and Ghostscript, and the <syntaxhighlight lang="latex" inline>inkscape</syntaxhighlight> program is a useful tool for creating or modifying your diagrams by hand. There is also a utility <syntaxhighlight lang="latex" inline>pstoedit</syntaxhighlight> 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, [[User:Ryan Reich|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====
{{See also|commons:Commons:First steps/Upload form}}
{{See also|Help:Contents/Images and media}}
 
As the diagram is your own work, upload it to [[commons:|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, 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#Support in applications|SVG application]] and viewing at default size (100% scaling), otherwise adjust the <code>-y</code> option to <code>dvips</code>.
; Name: Make sure the file has a [[WP:Naming conventions|meaningful name]].
; Upload: [[commons:Special:Userlogin|Login to Wikimedia Commons]], then <span class="plainlinks">[http://commons.wikimedia.org/w/index.php?title=Special:Upload&uselang=ownwork upload the file]</span>; for the '''Summary''', give a brief description.
 
Now go to the [[Help:Image page|image page]] and add a [[commons:Commons:First steps/Quality and description#Good file descriptions|description]], including the '''source code''', using this template:
 
<pre>
{{Information
|description =
{{en|1= '''Description [[:en:Link to WP page|topic]]'''}}
|source = {{own}}, created as per:
[[:en:Help:Displaying a formula#Commutative diagrams]];
source code below.
|date = '''The Creation Date, like 1999-12-31'''
|author = '''[[User:YourUserName|Your Real Name]]'''
|permission = {{self|PD-self '''(or [[commons:Licensing#Well-known licenses|other license]])'''
|author = '''[[User:YourUserName|Your Real Name]]'''}}
}}
 
====TeX source====
 
<syntaxhighlight lang="latex">
% TeX source here
</syntaxhighlight>
[[Category:Commutative diagrams]]
[[Category:Xy-pic diagrams]]
[[Category:Images with LaTeX source code]]
</pre>
 
; Source code
:*Include the source code in the [[Help:Image page|image page]], in the {{mono|Source}} section of the <code><nowiki>{{</nowiki>[[commons:Template:Information|Information]]}}</code> template, so that the diagram can be edited in future.
:*Include the complete <code>.tex</code> file, not just the fragment, so future editors do not need to reconstruct a compilable file.
:*You may optionally make the source code section collapsible, using the <code><nowiki>{{</nowiki>[[commons:Template:cot|cot]]}}</code> or <code><nowiki>{{</nowiki>[[commons:Template:cob|cob]]}}</code> templates.
:*(Don't include it in the Summary section, which is just supposed to be a summary.)
; License
: The most common license for commutative diagrams is <code>[[commons:Template:PD-self|PD-self]]</code>; some use <code>[[commons:Template:PD-self|PD-ineligible]]</code>, especially for simple diagrams, or other licenses. Please ''do not'' use the [http://www.gnu.org/copyleft/fdl.html 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. (The <code>1=</code> is necessary if you use nest templates within the description, and harmless otherwise.)
; Category
: Include <code><nowiki>[[Category:Commutative diagrams]]</nowiki></code>, 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 <code><nowiki>[[File:Diagram.svg]]</nowiki></code>
 
====Examples====
 
A sample conforming diagram is [[commons:File:PSU-PU.svg]].
 
==Chemistry==
Line 1,759 ⟶ 1,598:
<math chem><-></math></nowiki>|<math>\longleftrightarrow</math><br/><math chem><-></math>
}}
 
== Examples ==
 
=== Chemistry ===
<nowiki><math chem>C6H5-CHO</math></nowiki>
<math chem>C6H5-CHO</math>
 
<nowiki><math chem>{SO4^{2-}} + Ba^2+ -> BaSO4 v</math></nowiki>
<math chem>{SO4^{2-}} + Ba^2+ -> BaSO4 v</math>
 
<nowiki><math chem>H2O</math></nowiki>
<math chem>H2O</math>
 
<nowiki><math chem>Sb2O3</math></nowiki>
<math chem>Sb2O3</math>
 
<nowiki><math chem>H+</math></nowiki>
<math chem>H+</math>
 
<nowiki><math chem>CrO4^2-</math></nowiki>
<math chem>CrO4^2-</math>
 
<nowiki><math chem>AgCl2-</math></nowiki>
<math chem>AgCl2-</math>
 
<nowiki><math chem>[AgCl2]-</math></nowiki>
<math chem>[AgCl2]-</math>
 
<nowiki><math chem>Y^{99}+</math></nowiki>
<math chem>Y^{99}+</math>
 
<nowiki><math chem>Y^{99+}</math></nowiki>
<math chem>Y^{99+}</math>
 
<nowiki><math chem>H2_{(aq)}</math></nowiki>
<math chem>H2_{(aq)}</math>
 
<nowiki><math chem>NO3-</math></nowiki>
<math chem>NO3-</math>
 
<nowiki><math chem>(NH4)2S</math></nowiki>
<math chem>(NH4)2S</math>
 
==Examples of implemented TeX formulas==
Line 1,950 ⟶ 1,747:
\end{align}</math></syntaxhighlight>
}}
 
== References ==
{{Reflist}}