In mathematics (in particular, functional analysis), convolution is a mathematical operation on two functions and that produces a third function , as the integral of the product of the two functions after …

A convolution is a mathematical operation performed on two functions that yields a function that is a combination of the two original functions.

Dec 22, 2025 · A convolution is an integral that expresses the amount of overlap of one function g as it is shifted over another function f. It therefore "blends" one function with another.

Convolution creates multiple overlapping copies that follow a pattern you've specified. Real-world systems have squishy, not instantaneous, behavior: they ramp up, peak, and drop down.

This subchapter demonstrates how convolution provides a powerful tool for handling products of transforms and for solving equations that involve both derivatives and integrals, which are a common …

In this chapter we introduce a fundamental operation, called the convolution product. The idea for convolution comes from considering moving averages. Suppose we would like to analyze a smooth …

Convolution is a mathematical operation that combines two functions to describe the overlap between them. Convolution takes two functions and “slides” one of them over the other, multiplying the …

In this video, I'm going to introduce you to the concept of the convolution, one of the first times a mathematician's actually named something similar to what it's actually doing.

Convolution is the correlation function of f (τ) with the reversed function g (t-τ).

We define convolution and use it in Green’s formula, which connects the response to arbitrary input q (t) with the unit impulse response.