Difference between revisions of "Help:Math"

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==Intro==
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==LaTeX==
  
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Mathematics can be displayed on SolarSailWiki pages using [http://www1.chapman.edu/~jipsen/asciimath.html ASCIIMathML], which requires Javascript and MathML to be used fully.
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You can enter LaTeX equations by enclosing them in <nowiki><math>...</math></nowiki> tags. This uses the [http://www.mediawiki.org/wiki/Extension:Math Math extension]. For LaTeX math help, see:
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ASCIIMathML has a simple syntax for expressing equations that is converted to [http://www.w3.org/Math/ MathML] which can be rendered by newer web browsers.
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* [http://www.latex-project.org/guides/ LaTeX documentation]
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** [http://ctan.tug.org/tex-archive/info/lshort/english/lshort.pdf The Not so Short Introduction to LaTex] - with a very complete chapter on typesetting mathematical formulas
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===Examples===
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<nowiki><math>\sqrt[3]{a x + x^2}</math></nowiki> produces <math>\sqrt[3]{a x + x^2}</math>
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The acceleration of a solar sail due to solar pressure <math>\vec a_s</math> given the position vector from the sun to the sail <math>\vec r_s</math> is:
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<math>\vec a_s = a_c {AU^2 \over r_s^2} \left(\vec r_s \cdot \vec n\right)^2 \vec n</math>
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where <math>a_c</math> is max sail acceleration at Earth's distance from the sun (1 AU), <math>AU</math> is the length of an astronomical unit, <math>r_s</math> is the magnitude of <math>\vec r_s</math>, and <math>\vec n</math> is the unit vector normal to the sail surface.
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==Mimetex==
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''Deprecated. Please follow LaTeX instructions from now on.''
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Mathematics can be displayed on SolarSailWiki using the [http://www.forkosh.com/mimetex.html Mimetex] program, which uses a subset of the [http://www.latex-project.org/ LaTeX] math formulas.
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All you need to do is enclose a valid TeX/LaTeX formula inside <nowiki><tex>...</tex></nowiki> tags.
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Formulas will be rendered as GIF images.
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* [http://www.forkosh.com/mimetexmanual.html Mimetex documentation]
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* [http://www.latex-project.org/guides/ LaTeX documentation]
 +
** [http://ctan.tug.org/tex-archive/info/lshort/english/lshort.pdf The Not so Short Introduction to LaTex] - with a very complete chapter on typesetting mathematical formulas
 +
 
 +
Some examples:
 +
 
 +
<nowiki><tex>\sqrt[3]{a x + x^2}</tex></nowiki> produces <tex>\sqrt[3]{a x + x^2}</tex>
 +
 
 +
The acceleration of a solar sail due to solar pressure <tex>\vec a_s</tex> given the position vector from the sun to the sail <tex>\vec r_s</tex> is:
 +
 
 +
<tex>\vec a_s = a_c {AU^2 \over r_s^2} \(\vec r_s \cdot \vec n\)^2 \vec n</tex>
 +
 
 +
where <tex>a_c</tex> is max sail acceleration at Earth's distance from the sun (1 AU), <tex>AU</tex> is the length of an astronomical unit, <tex>r_s</tex> is the magnitude of <tex>\vec r_s</tex>, and <tex>\vec n</tex> is the unit vector normal to the sail surface.
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<!--
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==ASCIIMath Not Currently in Use==
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For the time being, ASCIIMath can be used, but MathML won't be properly displayed because of an incompatibility with Internet Explorer without MathPlayer installed.
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Mathematics can be displayed on SolarSailWiki pages using the PHP version of [http://www.jcphysics.com/ASCIIMath/ ASCIIMath].
 +
ASCIIMath has a simple syntax for expressing equations that is converted to [http://www.w3.org/Math/ MathML] which can be rendered by newer web browsers.
 
Browsers that support MathML are:
 
Browsers that support MathML are:
 
*[http://www.microsoft.com/ie/ Internet Explorer] - using the plugin [http://www.dessci.com/en/products/mathplayer/ Mathplayer]
 
*[http://www.microsoft.com/ie/ Internet Explorer] - using the plugin [http://www.dessci.com/en/products/mathplayer/ Mathplayer]
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* Linux - This requires more work, so it is discussed in more detail on its own page [[Help:MathML in Linux]]. Firefox may require additional steps.
 
* Linux - This requires more work, so it is discussed in more detail on its own page [[Help:MathML in Linux]]. Firefox may require additional steps.
  
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==ASCIIMathML==
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==ASCIIMath==
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For detailed ASCIIMathML usage, look at the [http://www1.chapman.edu/~jipsen/mathml/asciimathsyntax.xml ASCIIMathML syntax].
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ASCIIMath is contained in backquotes: \`...\`
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Literal back-quotes are typed by preceding them with a back-slash: \
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For example, typing: \\` will look like: \`
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For detailed ASCIIMath usage, look at the [http://www1.chapman.edu/~jipsen/mathml/asciimathsyntax.xml ASCIIMathML syntax].
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One important change is that in this implementation, ASCIIMath is NOT contained in backquotes: `...`
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Instead, it is contained within "am" tags: <nowiki><am>...</am></nowiki> ("am" for "ASCIIMath").
 
As an example, the cube-root of a-times-x plus x-squared can be expressed using the code:
 
As an example, the cube-root of a-times-x plus x-squared can be expressed using the code:
  
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\`root3 (a x + x^2)\`
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<nowiki><am>root3 (a x + x^2)</am></nowiki>
  
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This is displayed in MathML as: `root3 (a x + x^2)`
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This is displayed in MathML as: <am>root3 (a x + x^2)</am>
  
 
Go the the [[Sandbox]] to try it out.
 
Go the the [[Sandbox]] to try it out.
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Some other examples:
 
Some other examples:
  
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The acceleration of a solar sail due to solar pressure `vec a_s` given the position vector from the sun to the sail `vec r_s` is:
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The acceleration of a solar sail due to solar pressure <am>vec a_s</am> given the position vector from the sun to the sail <am>vec r_s</am> is:
  
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`vec a_s = a_c (AU^2)/(r_s^2) ( vec r_s * vec n)^2 vec n`
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<am>vec a_s = a_c (AU^2)/(r_s^2) ( vec r_s * vec n)^2 vec n</am>
  
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where `a_c` is max sail acceleration at Earth's distance from the sun (1 AU), `AU` is the length of an astronomical unit, `r_s` is the magnitude of `vec r_s`, and `vec n` is the unit vector normal to the sail surface.
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where <am>a_c</am> is max sail acceleration at Earth's distance from the sun (1 AU), <am>AU</am> is the length of an astronomical unit, <am>r_s</am> is the magnitude of <am>vec r_s</am>, and <am>vec n</am> is the unit vector normal to the sail surface.
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-->

Latest revision as of 11:32, 11 June 2012

LaTeX

You can enter LaTeX equations by enclosing them in <math>...</math> tags. This uses the Math extension. For LaTeX math help, see:

Examples

<math>\sqrt[3]{a x + x^2}</math> produces \sqrt[3]{a x + x^2}

The acceleration of a solar sail due to solar pressure \vec a_s given the position vector from the sun to the sail \vec r_s is: 

\vec a_s = a_c {AU^2 \over r_s^2} \left(\vec r_s \cdot \vec n\right)^2 \vec n

where a_c is max sail acceleration at Earth's distance from the sun (1 AU), AU is the length of an astronomical unit, r_s is the magnitude of \vec r_s, and \vec n is the unit vector normal to the sail surface.

Mimetex

Deprecated. Please follow LaTeX instructions from now on.

Mathematics can be displayed on SolarSailWiki using the Mimetex program, which uses a subset of the LaTeX math formulas. All you need to do is enclose a valid TeX/LaTeX formula inside <tex>...</tex> tags. Formulas will be rendered as GIF images.

Some examples:

<tex>\sqrt[3]{a x + x^2}</tex> produces \sqrt[3]{a x + x^2}

The acceleration of a solar sail due to solar pressure \vec a_s given the position vector from the sun to the sail \vec r_s is:

\vec a_s = a_c {AU^2 \over r_s^2} \(\vec r_s \cdot \vec n\)^2 \vec n

where a_c is max sail acceleration at Earth's distance from the sun (1 AU), AU is the length of an astronomical unit, r_s is the magnitude of \vec r_s, and \vec n is the unit vector normal to the sail surface.


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