Sand Box

This is a sand box page. Feel free to do whatever you want here.

Tuesday, August, 2024

pages in this Wiki.

--Hugo Arnaut 19:32, 20 October 2008 (UTC)


 * $$e^x=\sum_{n=0}^\infty\frac{x^n}{n!}$$
 * $$\int\limits_1^\infty \frac{1}{k}\,dk$$
 * $$\sqrt{x^2+2x+1}=|x+1| - \left(\left(\frac{2x^2}{x}\right)^2\right)^2$$
 * $$\sqrt{\sqrt{\sqrt{x}}}$$
 * $$\ E = \sum_{i=1}^N e^{- J_{ij} \sigma_i \sigma_j} $$


 * $$\varepsilon=\sum_{i=1}^{n-1}   \frac1{\Delta x}\int_{x_i}^{x_{i+1}}\left\{\frac1{\Delta x}\big[    (x_{i+1}-x)y_i^\ast+(x-x_i)y_{i+1}^\ast\big]-f(x)\right\}^2dx$$


 * $$\therefore$$
 * $$x_{1,2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$