Question

The effect of filtering a general input time function $f(t)$ by $g(t)$, with $g(t)$ being the Gaussian function

score 43 · Answer 1 · 2023-03-03 22:04:08

43

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The effect of filtering a general input time function $f(t)$ by $g(t)$, with $g(t)$ being the Gaussian function

Published on 03 Mar 2023 - 22:04

score 146 · Answer 2 · 2026-03-25 15:49:56

146

Views

Showing that $\mathrm{support}(\mu\ast\nu)=\mathrm{support}(\mu)+\mathrm{support}(\nu)$ when $\mathrm{support}(\mu),\mathrm{support}(\nu)$ are compact

Published on 25 Mar 2026 - 15:49

score 89 · Answer 3 · 2026-03-25 15:52:36

89

Views

Showing that the convolution of two Borel measures is a Borel measure

Published on 25 Mar 2026 - 15:52

score 53 · Answer 4 · 2023-03-06 22:58:10

53

Views

Regarding convolution and multiplication of polynomials

Published on 06 Mar 2023 - 22:58

score 49 · Answer 5 · 2023-03-09 03:16:32

49

Views

Closed-form expression of unit square pulse convolved with itself N times

Published on 09 Mar 2023 - 3:16

score 144 · Answer 6 · 2023-03-10 07:15:12

144

Views

Finding the relation between Laplace and the CTFT

Published on 10 Mar 2023 - 7:15

score 54 · Answer 7 · 2023-03-12 14:46:48

54

Views

What's the fourier transform convolution of $f(t) = \sin(t) \cdot \exp(-t)$ and $g(t) = \cos(t) \cdot \exp(-t)$?

Published on 12 Mar 2023 - 14:46

score 184 · Answer 8 · 2026-03-27 18:07:52

184

Views

Solving $ y'' + a y = f(x) $ with zero initial conditions

Published on 27 Mar 2026 - 18:07

score 454 · Answer 9 · 2026-03-28 18:16:20

454

Views

Mixture of two independent exponential distributions

Published on 28 Mar 2026 - 18:16

score 83 · Answer 10 · 2023-03-15 19:42:37

83

Views

Bounding $\widehat{G_{m+1}}\ast\widehat{H_m}(0)$ when $\frac{1}{2}\leq\widehat{H_m}(0)\leq\frac{3}{2}$ and $H_m,G_{m+1}$ are smooth over $\mathbb{T}$

Published on 15 Mar 2023 - 19:42

score 112 · Answer 11 · 2026-02-24 13:35:04

112

Views

Convergence of a mollifier function.

Published on 24 Feb 2026 - 13:35

score 174 · Answer 12 · 2023-03-17 19:09:33

174

Views

How to compute the $n$th self-convolution of the PDF of $U(0, 1)$? The PDF of $U(0, 1)$ is $f(x) = 1$ for $0 < x < 1$ and $f(x) = 0$ otherwise.

Published on 17 Mar 2023 - 19:09

score 278 · Answer 13 · 2026-03-30 05:28:43

278

Views

How do I find the probability distributions for multiple dice rolls for dice with a differing number of sides?

Published on 30 Mar 2026 - 5:28

score 107 · Answer 14 · 2026-03-30 02:10:09

107

Views

Convolution of shifted function with Delta Dirac Function

Published on 30 Mar 2026 - 2:10

score 222 · Answer 15 · 2023-03-20 18:19:39

222

Views

Convolution of multivariate distributions

Published on 20 Mar 2023 - 18:19

List Question

The effect of filtering a general input time function $f(t)$ by $g(t)$, with $g(t)$ being the Gaussian function

Showing that $\mathrm{support}(\mu\ast\nu)=\mathrm{support}(\mu)+\mathrm{support}(\nu)$ when $\mathrm{support}(\mu),\mathrm{support}(\nu)$ are compact

Showing that the convolution of two Borel measures is a Borel measure

Regarding convolution and multiplication of polynomials

Closed-form expression of unit square pulse convolved with itself N times

Finding the relation between Laplace and the CTFT

What's the fourier transform convolution of $f(t) = \sin(t) \cdot \exp(-t)$ and $g(t) = \cos(t) \cdot \exp(-t)$?

Solving $ y'' + a y = f(x) $ with zero initial conditions

Mixture of two independent exponential distributions

Bounding $\widehat{G_{m+1}}\ast\widehat{H_m}(0)$ when $\frac{1}{2}\leq\widehat{H_m}(0)\leq\frac{3}{2}$ and $H_m,G_{m+1}$ are smooth over $\mathbb{T}$

Convergence of a mollifier function.

How to compute the $n$th self-convolution of the PDF of $U(0, 1)$? The PDF of $U(0, 1)$ is $f(x) = 1$ for $0 < x < 1$ and $f(x) = 0$ otherwise.

How do I find the probability distributions for multiple dice rolls for dice with a differing number of sides?

Convolution of shifted function with Delta Dirac Function

Convolution of multivariate distributions

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