Gaussian integral
id:
gaussian-integral-187-14976411
title:
Gaussian integral
text:
The Gaussian integral, also known as the Euler–Poisson integral, is the integral of the Gaussian function f = e − x 2 over the entire real line. Named after the German mathematician Carl Friedrich Gauss, the integral is ∫ − ∞ ∞ e − x 2 d x = π. Abraham de Moivre originally discovered this type of integral in 1733, while Gauss published the precise integral in 1809. The integral has a wide range of applications. For example, with a slight change of variables it is used to compute the normalizing
brand slug:
wiki
category slug:
encyclopedia
description:
Integral of the Gaussian function, equal to sqrt(π)
original url:
https://en.wikipedia.org/wiki/Gaussian_integral
date created:
2004-03-31T20:46:55Z
date modified:
2024-09-08T16:11:57Z
main entity:
{"identifier":"Q1060321","url":"https://www.wikidata.org/entity/Q1060321"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/c/c2/Gaussian_Integral.svg","width":370,"height":140}
fields total:
13
integrity:
16