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Why does $\nabla\delta(t-\frac{r}{c}) = \frac{-\vec{e_r}}{c}\delta(t-\frac{r}{c})$?

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#dirac-delta #laplacian #greens-function
3.6k
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Solving $y'' - 2y' + y = \delta(t-2)$ for y(0) = 0, y'(0) = 0 by using Laplace Transforms. Need help finishing the problem.

Published on
#integration #ordinary-differential-equations #laplace-transform #convolution #dirac-delta
103
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Help needed with evaluating a matrix delta-function.

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#linear-algebra #integration #dirac-delta #random-matrices
60
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Infinite sum over $e^{i \frac{\pi (n-x)^2}{a}}$

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#sequences-and-series #dirac-delta #exponential-sum
607
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Inverse Fourier transform of sign function

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#fourier-analysis #fourier-transform #dirac-delta #mathematica
116
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About Function Composition with Dirac Delta Function: $g(t)$ = $\delta(e^t)$

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#calculus #physics #distribution-theory #dirac-delta
146
Views

Distribution identity involving Dirac delta

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#distribution-theory #dirac-delta #laplacian
127
Views

Second derivative of regular distribution of the absolute value

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#distribution-theory #dirac-delta #weak-derivatives
56
Views

Solution of a distributional differential equation

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#distribution-theory #dirac-delta
21
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Compute the derivative of the Dirac expectation of a norm

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#derivatives #partial-derivative #normed-spaces #dirac-delta
177
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Dirac delta function as a derivative of some function

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#dirac-delta #kronecker-delta
87
Views

doubt in Dirac Delta function

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#distribution-theory #dirac-delta
550
Views

Scaling property of the Dirac- Delta function does not preserve normalization

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#normal-distribution #dirac-delta
47
Views

Limiting case of linear canonical transform

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#fourier-analysis #fourier-transform #distribution-theory #dirac-delta #integral-transforms
542
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Derivative of $\mbox{sgn}$

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#calculus #derivatives #distribution-theory #dirac-delta #step-function

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