Math Test

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Bayes’ Theorem

$$ \Pr (A\vert B)=\frac{\Pr (A)\times \Pr (B \vert A)}{\Pr (B)} = \frac{\Pr (A)\times \Pr (B \vert A)}{\Pr (A)\times \Pr (B \vert A) + \Pr (\neg A)\times \Pr (B \vert \neg A)} $$

Array

$$ \left[ \begin{array}{ccc} \lambda - a & -b & -c
-d & \lambda - e & -f
-g & -h & \lambda - i \end{array} \right] $$

Differential

$$ \iint xy^2\,dx\,dy =\frac{1}{6}x^2y^3, $$

Vector Problem

$$ u=\frac{-y}{x^2+y^2}\,,\quad v=\frac{x}{x^2+y^2}\,,\quad\text{and}\quad w=0\,. $$

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