Question

Evaluating $I = \lim_{\varepsilon \to 0} \int_{-\varepsilon}^{\varepsilon} \frac{1}{\varepsilon} u(x) dx$ through a change of variables?

score 66 · Answer 1 · 2026-03-25 04:41:39

66

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Evaluating $I = \lim_{\varepsilon \to 0} \int_{-\varepsilon}^{\varepsilon} \frac{1}{\varepsilon} u(x) dx$ through a change of variables?

Published on 25 Mar 2026 - 4:41

score 84 · Answer 2 · 2018-07-20 10:57:48

84

Views

Is it possible to extend the notion of $H$-convergence to the case of distributions?

Published on 20 Jul 2018 - 10:57

score 80 · Answer 3 · 2018-07-24 10:30:24

80

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If $\phi \in C_c^{\infty}(\mathbb{R})$ then$ \frac{\phi}{x}\in L^1(\mathbb{R})$?

Published on 24 Jul 2018 - 10:30

score 770 · Answer 4 · 2018-07-29 20:08:00

770

Views

Prove $\lim_{t\to\infty} \sin(tx) \text{P.V.}\frac{1}{x} = \pi \delta$ in the distributional sense

Published on 29 Jul 2018 - 20:08

score 3.3k · Answer 5 · 2018-08-01 14:59:07

3.3k

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If X is a non-negative continuous random variable, show that $E[X]=\int_0^\infty (1-F(x)) dx$

Published on 01 Aug 2018 - 14:59

score 153 · Answer 6 · 2026-03-25 03:19:22

153

Views

Source of non-linear Laplace equation

Published on 25 Mar 2026 - 3:19

score 463 · Answer 7 · 2018-08-01 19:27:23

463

Views

Distribution theory - Find a solution to the linear partial differential equation $\partial u+au=\phi$

Published on 01 Aug 2018 - 19:27

score 184 · Answer 8 · 2026-02-23 04:33:46

184

Views

Expression for the density function of a smooth function

Published on 23 Feb 2026 - 4:33

score 85 · Answer 9 · 2018-08-03 16:30:06

85

Views

Contour Integral of Geometric Series

Published on 03 Aug 2018 - 16:30

score 193 · Answer 10 · 2018-08-05 10:36:14

193

Views

How does $\int (uv)dx = \int u dx \int v dx $ follow from $ (uv)w = u(v*w) $ by taking $w = 1$?

Published on 05 Aug 2018 - 10:36

score 87 · Answer 11 · 2018-08-05 16:15:20

87

Views

Confusion over definition of distributional derivatives

Published on 05 Aug 2018 - 16:15

score 314 · Answer 12 · 2018-08-06 12:37:00

314

Views

Fourier transform of the projection operator in 3D

Published on 06 Aug 2018 - 12:37

score 951 · Answer 13 · 2018-08-07 09:37:12

951

Views

Laplacian in 4-dimensions

Published on 07 Aug 2018 - 9:37

score 453 · Answer 14 · 2026-03-19 20:20:12

453

Views

Convolution Theorem for Distributions

Published on 19 Mar 2026 - 20:20

score 623 · Answer 15 · 2026-03-25 11:10:23

623

Views

Identifying $\int_{-\infty}^\infty e^{i k x} dx$ as Dirac delta distribution

Published on 25 Mar 2026 - 11:10

List Question

Evaluating $I = \lim_{\varepsilon \to 0} \int_{-\varepsilon}^{\varepsilon} \frac{1}{\varepsilon} u(x) dx$ through a change of variables?

Is it possible to extend the notion of $H$-convergence to the case of distributions?

If $\phi \in C_c^{\infty}(\mathbb{R})$ then$ \frac{\phi}{x}\in L^1(\mathbb{R})$?

Prove $\lim_{t\to\infty} \sin(tx) \text{P.V.}\frac{1}{x} = \pi \delta$ in the distributional sense

If X is a non-negative continuous random variable, show that $E[X]=\int_0^\infty (1-F(x)) dx$

Source of non-linear Laplace equation

Distribution theory - Find a solution to the linear partial differential equation $\partial u+au=\phi$

Expression for the density function of a smooth function

Contour Integral of Geometric Series

How does $\int (uv)dx = \int u dx \int v dx $ follow from $ (uv)w = u(v*w) $ by taking $w = 1$?

Confusion over definition of distributional derivatives

Fourier transform of the projection operator in 3D

Laplacian in 4-dimensions

Convolution Theorem for Distributions

Identifying $\int_{-\infty}^\infty e^{i k x} dx$ as Dirac delta distribution

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