MathML in action
Here is a demonstration of MathML, using, as an example, the Taylor series for f at a, where f is a function which has derivatives of all orders on an open interval containing the real numbers a and x.
LibreOffice Math provides a language to enable complicated mathematical formulae to be displayed in LibreOffice documents. To display the equation above in LibreOffice, it is written in this language as
f(x) = sum from { n = 0 } to infinity { { f^(n)(a) } over { n! } (x - a)^n }To display formulae in a browser, another language, the Mathematical Markup Language or MathML, is used. For full details on the language, see the W3C specification . The MathML for the example equation is shown below; it was generated by LibreOffice and, as you can see, it takes up a bit more space!
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block"> <semantics> <mrow> <mi>f</mi> <mrow> <mrow> <mo fence="true" stretchy="false">(</mo> <mrow><mi>x</mi></mrow> <mo fence="true" stretchy="false">)</mo> </mrow> <mo stretchy="false">=</mo> <mrow> <munderover> <mo stretchy="false">∑</mo> <mrow><mi>n</mi><mo stretchy="false">=</mo><mn>0</mn></mrow> <mi mathvariant="normal">∞</mi> </munderover> <mrow> <mfrac> <mrow> <msup> <mi>f</mi> <mrow> <mo fence="true" stretchy="false">(</mo> <mrow><mi>n</mi></mrow> <mo fence="true" stretchy="false">)</mo> </mrow> </msup> <mrow> <mo fence="true" stretchy="false">(</mo> <mrow><mi>a</mi></mrow> <mo fence="true" stretchy="false">)</mo> </mrow> </mrow> <mrow><mi>n</mi><mi>!</mi></mrow> </mfrac> <msup> <mrow> <mo fence="true" stretchy="false">(</mo> <mrow> <mrow><mi>x</mi><mo stretchy="false">−</mo><mi>a</mi></mrow> </mrow> <mo fence="true" stretchy="false">)</mo> </mrow> <mi>n</mi> </msup> </mrow> </mrow> </mrow> </mrow> <annotation encoding="StarMath 5.0"> f(x) = sum from { n = 0 } to infinity { { f^(n)(a) } over { n! } (x - a)^n } </annotation> </semantics> </math>