The scalar form of Laplace's equation is the partial differential equation (1) where  is the Laplacian. Note that…

An Euler-Cauchy equation is where b and c are constant numbers. Let us consider the change of variable x = et.…

Integrals don't have to get very complicated before symbolic methods fail to work. Consider, for…

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.…