MathML test

This post is for testing MathJax on Blogger.

${\mathit{x}}^2-{\mathit{y}}^2$

$\left(\begin{array}{cc}1& 2\\ 3& 4\end{array}\right)$

The above examples are generated by Microsoft Mathematics.

The following is from MathML Samples.

$$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$

$$f\left(a\right)={\oint }_{\gamma }\frac{f\left(z\right)}{z-a}dz$$

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

$${\int }_D(\nabla \cdot F)dV={\int }_{\partial D}F\cdot ndS$$

$$\overrightarrow{\nabla }\times \overrightarrow{F}=(\frac{\partial F_z}{\partial y}-\frac{\partial F_y}{\partial z})i+(\frac{\partial F_x}{\partial z}-\frac{\partial F_z}{\partial x})j+(\frac{\partial F_y}{\partial x}-\frac{\partial F_x}{\partial y})k$$

$$\sigma =\sqrt{\frac{1}{N}{\displaystyle \sum _{i=1}^N{(x_i-\mu )}^2}}.$$

$${\left({\nabla }_{X}Y\right)}^k=X^i{({\nabla }_{i}Y)}^k=X^i(\frac{\partial Y^k}{\partial x^i}+{\Gamma }_{im}^k{Y}^m)$$

The following is generated by formulator-mathml.

$$y={\mathrm{ax}}^2+\mathrm{bx}+c$$

Full adder

download Logisim Project file from Google Docs

Ukraine's population pyramid with R

UNPop_ukraine_age_sex_1985-2010.csv
(via World Population Prospects: The 2008 Revision Population Database)