Help:Math Help part 3: Difference between revisions

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== Please note: Math is not completely enabled yet : some script error? ==
'''Please note that non standard characters will probably not render properly'''


The complete helpfile is over 50kB in size.  Some browsers may have difficulty in rendering the page, because many have a notional upper limit of 32kB per page.  Please choose from one of the following options to access the help file:
The complete helpfile is over 50kB in size.  Some browsers may have difficulty in rendering the page, because many have a notional upper limit of 32kB per page.  Please choose from one of the following options to access the help file:
== Related Math Help pages ==


* [[Complete math help file]] - over 50kB in size
* [[Complete math help file]] - over 50kB in size
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* [[Math Help part 5]] - contains information on Alphabets and Typefaces
* [[Math Help part 5]] - contains information on Alphabets and Typefaces


* [[Math Help part 6]] - contains information on Parenthesising big exprssions, Brackets and Bars
* [[Math Help part 6]] - contains information on Parenthesising big expressions, Brackets and Bars


* [[Math Help part 7]] - contains information about Spacing, Aligning with normal text flow,Forced PNG rendering, Color and examples.
* [[Math Help part 7]] - contains information about Spacing, Aligning with normal text flow,Forced PNG rendering, Color and examples.
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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.
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.
__TOC__


== Subscripts, superscripts, integrals ==  
== Subscripts, superscripts, integrals ==  
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|Combining sub & super||<code>x_2^3</code>||colspan=2|<math>x_2^3</math>
|Combining sub & super||<code>x_2^3</code>||colspan=2|<math>x_2^3</math>
|-
|-
|rowspan="2"|Preceding and/or Additional sub & super||<code>\sideset{_1^2}{_3^4}\prod_a^b</code>||colspan=2|<math>\sideset{_1^2}{_3^4}\prod_a^b</math>
|rowspan="2"|Preceding and/or Additional sub & super|
|-
|-
|<code>{}_1^2\!\Omega_3^4</code>||colspan=2|<math>{}_1^2\!\Omega_3^4</math>
|<code>{}_1^2\!\Omega_3^4</code>||colspan=2|<math>{}_1^2\!\Omega_3^4</math>
|-
|rowspan="4"|Stacking
|<code>\overset{\alpha}{\omega}</code>||colspan="2"|<math>\overset{\alpha}{\omega}</math>
|-
|<code>\underset{\alpha}{\omega}</code>||colspan="2"|<math>\underset{\alpha}{\omega}</math>
|-
|<code>\overset{\alpha}{\underset{\gamma}{\omega}}</code>||colspan="2"|<math>\overset{\alpha}{\underset{\gamma}{\omega}}</math>
|-
|<code>\stackrel{\alpha}{\omega}</code>||colspan="2"|<math>\stackrel{\alpha}{\omega}</math>
|-
|-
|Derivative (forced PNG)||<code>x', <nowiki>y''</nowiki>, f', <nowiki>f''</nowiki>\!</code>||&nbsp;||<math>x', y'', f', f''\!</math>
|Derivative (forced PNG)||<code>x', <nowiki>y''</nowiki>, f', <nowiki>f''</nowiki>\!</code>||&nbsp;||<math>x', y'', f', f''\!</math>
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|-
|-
|<code>\overline{g h i} \ \underline{j k l}</code>||colspan=2|<math>\overline{g h i} \ \underline{j k l}</math>
|<code>\overline{g h i} \ \underline{j k l}</code>||colspan=2|<math>\overline{g h i} \ \underline{j k l}</math>
|-
|Arrows||<code> A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C</code>||colspan=2|<math> A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C</math>
|-
|-
|Overbraces||<code>\overbrace{ 1+2+\cdots+100 }^{5050}</code>||colspan=2|<math>\overbrace{ 1+2+\cdots+100 }^{5050}</math>
|Overbraces||<code>\overbrace{ 1+2+\cdots+100 }^{5050}</code>||colspan=2|<math>\overbrace{ 1+2+\cdots+100 }^{5050}</math>
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|-
|-
|Sum||<code>\sum_{k=1}^N k^2</code>||colspan=2|<math>\sum_{k=1}^N k^2</math>
|Sum||<code>\sum_{k=1}^N k^2</code>||colspan=2|<math>\sum_{k=1}^N k^2</math>
|-
|Sum (force&nbsp;<code>\textstyle</code>)||<code>\textstyle \sum_{k=1}^N k^2 </code>||colspan=2|<math>\textstyle \sum_{k=1}^N k^2</math>
|-
|-
|Product||<code>\prod_{i=1}^N x_i</code>||colspan=2|<math>\prod_{i=1}^N x_i</math>
|Product||<code>\prod_{i=1}^N x_i</code>||colspan=2|<math>\prod_{i=1}^N x_i</math>
|-
|Product (force&nbsp;<code>\textstyle</code>)||<code>\textstyle \prod_{i=1}^N x_i</code>||colspan=2|<math>\textstyle \prod_{i=1}^N x_i</math>
|-
|-
|Coproduct||<code>\coprod_{i=1}^N x_i</code>||colspan=2|<math>\coprod_{i=1}^N x_i</math>
|Coproduct||<code>\coprod_{i=1}^N x_i</code>||colspan=2|<math>\coprod_{i=1}^N x_i</math>
|-
|Coproduct (force&nbsp;<code>\textstyle</code>)||<code>\textstyle \coprod_{i=1}^N x_i</code>||colspan=2|<math>\textstyle \coprod_{i=1}^N x_i</math>
|-
|-
|Limit||<code>\lim_{n \to \infty}x_n</code>||colspan=2|<math>\lim_{n \to \infty}x_n</math>
|Limit||<code>\lim_{n \to \infty}x_n</code>||colspan=2|<math>\lim_{n \to \infty}x_n</math>
|-
|Limit (force&nbsp;<code>\textstyle</code>)||<code>\textstyle \lim_{n \to \infty}x_n</code>||colspan=2|<math>\textstyle \lim_{n \to \infty}x_n</math>
|-
|-
|Integral||<code>\int_{-N}^{N} e^x\, dx</code>||colspan=2|<math>\int_{-N}^{N} e^x\, dx</math>
|Integral||<code>\int_{-N}^{N} e^x\, dx</code>||colspan=2|<math>\int_{-N}^{N} e^x\, dx</math>
|-
|
|Integral (force&nbsp;<code>\textstyle</code>)||<code>\textstyle \int_{-N}^{N} e^x\, dx</code>||colspan=2|<math>\textstyle \int_{-N}^{N} e^x\, dx</math>
|-
|-
|Double integral||<code>\iint_{D}^{W} \, dx\,dy</code>||colspan=2|<math>\iint_{D}^{W} \, dx\,dy</math>
|Double integral||<code>\iint_{D}^{W} \, dx\,dy</code>||colspan=2|<math>\iint_{D}^{W} \, dx\,dy</math>

Latest revision as of 16:30, 8 April 2009

Please note that non standard characters will probably not render properly

The complete helpfile is over 50kB in size. Some browsers may have difficulty in rendering the page, because many have a notional upper limit of 32kB per page. Please choose from one of the following options to access the help file:

Related Math Help pages

  • Math Help part 1 - contains information on Syntax, Rendering and Pros and Cons of TeX and HTML for math functions
  • Math Help part 2 - contains information on Functions, Symbols and Special characters
  • Math Help part 6 - contains information on Parenthesising big expressions, Brackets and Bars
  • Math Help part 7 - contains information about Spacing, Aligning with normal text flow,Forced PNG rendering, Color and examples.

This wiki 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. In the future, as more browsers are smarter, it will be able to generate enhanced HTML or even MathML in many cases.

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.

Subscripts, superscripts, integrals

Feature Syntax How it looks rendered
HTML PNG
Superscript a^2 <math>a^2</math> <math>a^2 \,\!</math>
Subscript a_2 <math>a_2</math> <math>a_2 \,\!</math>
Grouping a^{2+2} <math>a^{2+2}</math> <math>a^{2+2}\,\!</math>
a_{i,j} <math>a_{i,j}</math> <math>a_{i,j}\,\!</math>
Combining sub & super x_2^3 <math>x_2^3</math>
Preceding and/or Additional sub & super|
{}_1^2\!\Omega_3^4 <math>{}_1^2\!\Omega_3^4</math>
Derivative (forced PNG) x', y'', f', f''\!   <math>x', y, f', f\!</math>
Derivative (f in italics may overlap primes in HTML) x', y'', f', f'' <math>x', y, f', f</math> <math>x', y, f', f\!</math>
Derivative (wrong in HTML) x^\prime, y^{\prime\prime} <math>x^\prime, y^{\prime\prime}</math> <math>x^\prime, y^{\prime\prime}\,\!</math>
Derivative (wrong in PNG) x\prime, y\prime\prime <math>x\prime, y\prime\prime</math> <math>x\prime, y\prime\prime\,\!</math>
Derivative dots \dot{x}, \ddot{x} <math>\dot{x}, \ddot{x}</math>
Underlines, overlines, vectors \hat a \ \bar b \ \vec c <math>\hat a \ \bar b \ \vec c</math>
\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f} <math>\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f}</math>
\overline{g h i} \ \underline{j k l} <math>\overline{g h i} \ \underline{j k l}</math>
Overbraces \overbrace{ 1+2+\cdots+100 }^{5050} <math>\overbrace{ 1+2+\cdots+100 }^{5050}</math>
Underbraces \underbrace{ a+b+\cdots+z }_{26} <math>\underbrace{ a+b+\cdots+z }_{26}</math>
Sum \sum_{k=1}^N k^2 <math>\sum_{k=1}^N k^2</math>
Product \prod_{i=1}^N x_i <math>\prod_{i=1}^N x_i</math>
Coproduct \coprod_{i=1}^N x_i <math>\coprod_{i=1}^N x_i</math>
Limit \lim_{n \to \infty}x_n <math>\lim_{n \to \infty}x_n</math>
Integral \int_{-N}^{N} e^x\, dx <math>\int_{-N}^{N} e^x\, dx</math>
Double integral \iint_{D}^{W} \, dx\,dy <math>\iint_{D}^{W} \, dx\,dy</math>
Triple integral \iiint_{E}^{V} \, dx\,dy\,dz <math>\iiint_{E}^{V} \, dx\,dy\,dz</math>
Quadruple integral \iiiint_{F}^{U} \, dx\,dy\,dz\,dt <math>\iiiint_{F}^{U} \, dx\,dy\,dz\,dt</math>
Path integral \oint_{C} x^3\, dx + 4y^2\, dy <math>\oint_{C} x^3\, dx + 4y^2\, dy</math>
Intersections \bigcap_1^{n} p <math>\bigcap_1^{n} p</math>
Unions \bigcup_1^{k} p <math>\bigcup_1^{k} p</math>
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