The word correlation is used in everyday life to denote some form of association. We…

 A variable is a quantity whose value changes.   A discrete variable is a variable whose value is obtained by…

Bayes' Theorem is a simple mathematical formula used for calculating conditional probabilities. It figures prominently…

The conditional probability of an event B is the probability that the event will occur given the knowledge that…

Chance is a slippery concept. We all know that some random events are more likely…

If a function is defined over half the range, say , instead of the full range…

A Fourier series is an expansion of a periodic function  in terms of an infinite sum of sines and cosines.…

Line integrals (also referred to as path or curvilinear integrals) extend the concept of simple integrals (used to find areas of flat,…

Let (1) where (2) so (3) The total derivative of  with respect to  is then (4)(5) In…