The generalized change of variables technique allows us to find the joint distribution of the transformations of two random variables.

In statistics, a moment is a quantitative measure of the shape of a distribution. The moment generating function of a random variable, when it exists, is a unique descriptor of the variable's probability distribution.

Musical Notes is written entirely using quarter notes (crotchet), half notes (minim), dotted half notes (dotted minim), and whole notes (semibreve) of various pitches.

If you want to solve the Project Euler problems on your own, stop here. The answer is spoiled in this article. For more detailed information on th...