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2011-03-13T22:54:04Z

latex formulas help page

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= Writing mathematical formulas using latex syntax =

You can now use latex syntax to write formulas!

Have a look at the examples below, and see http://meta.wikimedia.org/wiki/Help:Formula for a comprehensive help on the latex syntax you can use in the <nowiki><math></math></nowiki> tags.

== Examples ==

===Quadratic Polynomial===

<nowiki><math>ax^2 + bx + c = 0</math></nowiki>

<math>ax^2 + bx + c = 0</math>

===Quadratic Polynomial (Force PNG Rendering)===

<nowiki><math>ax^2 + bx + c = 0\,\!</math></nowiki>

<math>ax^2 + bx + c = 0\,\!</math>

===Quadratic Formula===

<nowiki><math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math></nowiki>

<math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>

===Tall Parentheses and Fractions ===

<nowiki><math>
2 = \left(
\frac{\left(3-x\right) \times 2}{3-x}
\right)</math></nowiki>

<math>2 = \left( \frac{\left(3-x\right) \times 2}{3-x} \right)</math>

<nowiki><math>
S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2}
</math></nowiki>

<math>S_{\text{new}} = S_{\text{old}} - \frac{ \left( 5-T \right) ^2} {2}</math>

===Integrals===

<nowiki><math>\int_a^x \!\!\!\int_a^s f(y)\,dy\,ds
= \int_a^x f(y)(x-y)\,dy</math></nowiki>

<math>\int_a^x \!\!\!\int_a^s f(y)\,dy\,ds = \int_a^x f(y)(x-y)\,dy</math>

===Summation===

<nowiki><math>\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n}
{3^m\left(m\,3^n+n\,3^m\right)}</math></nowiki>

<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 ===

<nowiki><math>u'' + p(x)u' + q(x)u=f(x),\quad x>a</math></nowiki>

<math>u'' + p(x)u' + q(x)u=f(x),\quad x>a</math>

===Complex numbers===

<nowiki><math> |\bar{z}| = |z|,
|(\bar{z})^n| = |z|^n,
\arg(z^n) = n \arg(z)</math></nowiki>

<math> |\bar{z}| = |z|, |(\bar{z})^n| = |z|^n, \arg(z^n) = n \arg(z)</math>

===Limits===

<nowiki><math>\lim_{z\rightarrow z_0} f(z)=f(z_0)</math></nowiki>

<math>\lim_{z\rightarrow z_0} f(z)=f(z_0)</math>

===Integral Equation===

<nowiki><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></nowiki>

<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===

<nowiki><math>\phi_n(\kappa) =
0.033C_n^2\kappa^{-11/3},\quad
\frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0}</math></nowiki>

<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===

<nowiki><math>
f(x) =
\begin{cases}
1 & -1 \le x < 0 \\
\frac{1}{2} & x = 0 \\
1 - x^2 & \mbox{otherwise}
\end{cases}
</math></nowiki>

<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===

<nowiki> <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></nowiki>

<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===

<nowiki><math> \frac {a}{b}\ \tfrac {a}{b} </math></nowiki>

<math> \frac {a}{b}</math> &emsp; <math> \tfrac {a}{b} </math>

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