Mathematics

Calculating Fourier transform of the probability density function of the normal distribution.

This text describes the Cantor set, a null set with the cardinality of the continuum.

Deriving the equation of an ellipse.

Find the family of curves that are orthogonal to a family of parabolas.

An explanation of the solution to the Basel Problem.

Although this is a basic problem, calculating the average of angles can be tricky and prone to mistakes. This article explains how to correctly find the average angle.

I calculated the expected value of the cosine of a random variable following the standard normal distribution.