List questions from change-of-variable

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How to prove $\frac{\theta(t)}{4\pi a^2 t}\delta_{Sat}(x) = \frac{\theta(t)}{2\pi a}\delta( a^2t^2 - |x|^2)$?

Published on 11 Jul 2017 - 7:16

85

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Validity of transformation of coherent state completeness proof

Published on 12 Jul 2017 - 22:38

91

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Given a probability density function $f(x)$ such that $\int_{-\infty}^{\infty}f(x)dx=1$. Do we always have $\int_{-\infty}^{\infty}f(-x)dx=1$?

Published on 17 Jul 2017 - 20:36

636

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Prove rigorously the equivalence of two optimization problems

Published on 17 Jul 2017 - 22:52

3.3k

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Understanding Variable of Integration

Published on 18 Jul 2017 - 3:20

122

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Surface integral in a non-centered circle.

Published on 19 Jul 2017 - 12:36

19

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How to find the CDF in the following formula?

Published on 20 Jul 2017 - 15:08

70

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If $X$ is standard normal, how to compute the PDF of $Y=X/(1+ e^{-X})$?

Published on 23 Jul 2017 - 23:15

355

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Change of order in polar coordinates

Published on 25 Jul 2017 - 21:18

42

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double integral integrand and region

Published on 26 Jul 2017 - 7:41

695

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limit of integration after change of variables

Published on 26 Jul 2017 - 22:31

38

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multivariable calculus determing region and limits of integration

Published on 27 Jul 2017 - 21:37

873

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Distribution of $X\sqrt {2Y}$ where $X\sim N (0,1)$ and $Y\sim \operatorname{Exp} (1)$

Published on 29 Jul 2017 - 22:41

119

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Change of coordinates using Lebesgue area measure on $\mathbb C$

Published on 28 Mar 2026 - 3:34

37

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Inverse transformation formal series

Published on 27 Mar 2026 - 14:29

List Question

How to prove $\frac{\theta(t)}{4\pi a^2 t}\delta_{Sat}(x) = \frac{\theta(t)}{2\pi a}\delta( a^2t^2 - |x|^2)$?

Validity of transformation of coherent state completeness proof

Given a probability density function $f(x)$ such that $\int_{-\infty}^{\infty}f(x)dx=1$. Do we always have $\int_{-\infty}^{\infty}f(-x)dx=1$?

Prove rigorously the equivalence of two optimization problems

Understanding Variable of Integration

Surface integral in a non-centered circle.

How to find the CDF in the following formula?

If $X$ is standard normal, how to compute the PDF of $Y=X/(1+ e^{-X})$?

Change of order in polar coordinates

double integral integrand and region

limit of integration after change of variables

multivariable calculus determing region and limits of integration

Distribution of $X\sqrt {2Y}$ where $X\sim N (0,1)$ and $Y\sim \operatorname{Exp} (1)$

Change of coordinates using Lebesgue area measure on $\mathbb C$

Inverse transformation formal series

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