SearchOnMath

Bayes's theorem, \(P(A|B) = \frac{P(B|A)P(A)}{P(B)}\), relates the two conditional probabilities involving events \(A\) and \(B\).

Prime numbers are key to Euler's product formula, \(\sum_{k=1}^{\infty}\frac{1}{k^s}=\prod_{p \;\; \mathrm{prime}}\frac{1}{1-p^{-s}}\), which establishes equality between an infinite sum and product for fixed \(s>1\).

Newton's mutual attraction force for masses \(m_1\), \(m_2\) is \(F=G\frac{m_1 m_2}{d^2}\), where \(d\) is the distance between them and \(G\) is the gravitational constant.