List questions from gaussian-integral

Published on 12 Jan 2018 - 10:29

602

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Result on the expectation of zero-mean Gaussian with variance $\sigma^2$

Published on 12 Jan 2018 - 23:06

157k

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Evaluation of Gaussian integral $\int_{0}^{\infty} \mathrm{e}^{-x^2} dx$

Published on 07 Nov 2010 - 16:33

7.3k

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Which functions are tempered distributions?

Published on 23 Apr 2011 - 11:47

1.7k

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Why do zeta regularization and path integrals agree on functional determinants?

Published on 24 Feb 2026 - 5:31

192

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Strange integrand: $\int \sqrt{x} e^{x}dx$

Published on 21 Mar 2012 - 14:00

20.8k

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reference for multidimensional gaussian integral

Published on 26 Mar 2026 - 17:44

178

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How to solve the following Gaussian integral where $A$ is not symmetric?

Published on 31 Jul 2020 - 17:42

233

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Gaussian integral with quadratic coefficients given by a non-symmetric complex matrix

Published on 02 Aug 2020 - 20:48

968

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$\int_0^{\infty} \exp(-0.5x^2dx)$

Published on 09 Aug 2020 - 21:00

48

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Origin of identity: $\int_{-\infty}^{\infty} \exp\{ - \pi x^2 - 2 \pi^{1/2} a x\} \,da = \exp\left\{a^2\right\}$

Published on 12 Aug 2020 - 17:38

162

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A Gaussian integral containing a logarithm with applications to finance.

Published on 26 Aug 2020 - 9:59

625

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Why does the Gaussian function has an additional factor of 1/2 in the exponent?

Published on 23 Feb 2026 - 13:26

184

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Why is the normal distribution defined exactly the way it is defined?

Published on 23 Feb 2026 - 15:05

92

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An integral involving a Gaussian and a power of a normal cumulative distribution function

Published on 28 Mar 2026 - 7:00

List Question

Marginalizing a product of multivariate normal distributions

Result on the expectation of zero-mean Gaussian with variance $\sigma^2$

Evaluation of Gaussian integral $\int_{0}^{\infty} \mathrm{e}^{-x^2} dx$

Which functions are tempered distributions?

Why do zeta regularization and path integrals agree on functional determinants?

Strange integrand: $\int \sqrt{x} e^{x}dx$

reference for multidimensional gaussian integral

How to solve the following Gaussian integral where $A$ is not symmetric?

Gaussian integral with quadratic coefficients given by a non-symmetric complex matrix

$\int_0^{\infty} \exp(-0.5x^2dx)$

Origin of identity: $\int_{-\infty}^{\infty} \exp\{ - \pi x^2 - 2 \pi^{1/2} a x\} \,da = \exp\left\{a^2\right\}$

A Gaussian integral containing a logarithm with applications to finance.

Why does the Gaussian function has an additional factor of 1/2 in the exponent?

Why is the normal distribution defined exactly the way it is defined?

An integral involving a Gaussian and a power of a normal cumulative distribution function

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