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Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.
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Why is it so cool to square numbers (in terms of finding the standard deviation)?
If you are dealing with negative numbers, you need to square them (or use absolute value) to capture the appropriate distance from the mean.
Using a square allows one to have a continuously differenti …