# List of Equations

The equations below are formatted with MathML. They are rendered in MathJax so should work across all browsers, mobile phones etc.

### Copying an equation.

• Right click on the equation
• From the popup menu chose: Show Math As, MathML Code.
• A new window will open. Select and copy the MathML code.

### To convert to other formats such as GIF

Paste the mathml code into http://www.mathmlcentral.com/Tools/FromMathML.jsp

### Paste into Microsoft word

In most word versions a shortcut is to right-click within the word document and select "Keep Text Only (T)"

• Insert, equation
• Paste the MathML code
• It should magically turn into a word equation that you can also edit
• If you still see MathML code, click on the drop down menu in word and change it to "Keep Text Only (T)"

$$Azimuth=cos^{-1}[\frac{sin\delta cos\varphi-cos\delta sin \varphi cos(HRA)}{cos\alpha}]$$

${R}_{b}=\frac{\rho l}{A}=\frac{{\rho }_{b}W}{A}$

$F\left(\lambda \right)=\frac{2\pi h{c}^{2}}{{\lambda }^{5}\left(\mathrm{exp}\left(\frac{hc}{k\lambda T}\right)-1\right)}$

${R}_{CH}=\frac{{V}_{MP}}{{I}_{MP}}\approx \frac{{V}_{OC}}{{I}_{SC}}$

$Cl+{e}^{-}\to C{l}^{-}$

$\sigma =q\left({\mu }_{n}n+{\mu }_{p}p\right)$

$\mathrm{cos}\left(\theta +\phi \right)=\mathrm{cos}\left(\theta \right)\mathrm{cos}\left(\phi \right)-\mathrm{sin}\left(\theta \right)\mathrm{sin}\left(\phi \right)$