Mathematics

A streamlined way to compute integrals of products of exponential and trigonometric functions.

This article discusses the general theory of self-reciprocal functions in the Fourier transform, particularly focusing on the eigenspaces of the Fourier transform.

An overview of Gray code.

As an example of a self-reciprocal function in the Fourier transform, we introduce |t|^(-1/2).

Basic concepts of the Mellin transform.

On the pursuit of truth and the importance of making concepts understandable to others.

Calculate the Gaussian integral using the Wallis integral.

This article discusses Wallis’ formula, which provides an approximation of the intermediate binomial coefficients.

An overview of Fresnel integrals.

Discusses various conventions for defining the Fourier transform.