# Sleeper Theorems

This inspired me to compile a list:
Since, I’m not a mathematician(pure/applied) I just compiled things from the blog post combining
* Bayes Theorem $P(A|B) = P(B|A) *P(A)/P(B)$

• Jensen’s Inequality $\psi(E(X)) <= E(\psi(X))$ if $\psi$ is a convex function and X is
a random variable. Extends convexity from sums to integrals(aka discrete to continuous)
• lto’s lemma: aka(Merton, Black and Scholes option pricing formula)
• Complex analysis.. should i disqualify this as not a theorem??
• Standard error of the mean.details link
• Jordan Curve Theorem: A closed curve has an inside and an outside. (sounds obvious in 2D
and 3D, perhaps with time as 4D, keeping options open is staying outside closed curves??)
• kullback-leibler positivity:(no clue need to look up wolfram alpha or wikipedia)
• Hahn-Banach Theorem (again needs searching)