User:Cruise/Math


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Obviously, x&sup2; &ge; 0 is true.



s^2 =\frac{n}{n-1} \sigma^2

$$



\sigma^2 =\frac{\sum x^2}{n}

$$


 * $$\sum_{n=0}^\infty \frac{x^n}{n!}$$



\int_{-\infty}^{\infty} e^x\, dx $$



u^2 =\frac{\sum_{i=1}^{n^2} x^2_{\Delta_i}}{n^2}

$$



u^2 =\frac{\sum_{i=-\infty}^{\infty} \sum_{i=-\infty}^{\infty} (x_i - x_j)^2 f(x_i) f(x_j)}{n^2}

$$



\int_{-\infty}^{\infty} \int_{-\infty}^{\infty} (x-y)^2\, dF(x) dF(y) $$