Formula examples

From DIYWiki

Examples of how to use mathematical expressions, and formula in this wiki.

Chemical Equations


<ce>\mathit{A} ->[\ce{+H2O}] \mathit{B}</ce>

<ce>{SO4^{2-}} + Ba^2+ -> BaSO4 v</ce>

<math chem>A \ce{->[\ce{+H2O}]} B</math>












Quadratic Polynomial

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

Quadratic Polynomial (Force PNG Rendering)

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

Quadratic Formula


Tall Parentheses and Fractions

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

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


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



Differential Equation

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

Complex numbers

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


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

Integral Equation

<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>


<math>\phi_n(\kappa) = 

Continuation and cases

 f(x) =
 1 & -1 \le x < 0 \\
 \frac{1}{2} & x = 0 \\
 1 - x^2 & \mbox{otherwise}

Prefixed subscript

 = \sum_{n=0}^\infty

Fraction and small fraction

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

Alternate layout for expressions using math Template

This layout renders simpler expressions using HTML rather than the full blown rendering of the <math> tag. E.g:

xn + yn = 1
{{math|1=''x''<sup>''n''</sup> + ''y''<sup>''n''</sup> {{=}} 1}}