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Dirac delta function integral only at a specific point

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#limits #dirac-delta
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Proof that a zero-variance Gaussian function becomes a Delta distribution

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#probability #probability-theory #distribution-theory #dirac-delta
245
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Dirac delta translation property: product of functions in the integrand

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How proves rigurously that Fourier transform of $f(x)=x$ is $i\delta'$

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#fourier-transform #dirac-delta
360
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Multiplication with discrete delta function

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#dirac-delta #kronecker-delta #discrete-time
303
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How to deal with this Dirac-Delta-function integral

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#calculus #integration #mathematical-physics #dirac-delta #quantum-field-theory
202
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Derivative of a delta function reference

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#real-analysis #derivatives #probability-distributions #distribution-theory #dirac-delta
206
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For $g(x) = 1/x$ extended to complex-values, what is antiderivative of $g$?

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#complex-analysis #lebesgue-integral #complex-integration #dirac-delta
150
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Theoretically estimating error for an approximation of the $\delta(x)$ function.

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41
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How can i prove Delta function property with derivative?

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138
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Integral over to dirac delta functions of different arguments

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#dirac-delta
51
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Laplace transform of an unusual convolution

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#ordinary-differential-equations #laplace-transform #convolution #dirac-delta #greens-function
1.1k
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Integrating Dirac delta functions with trigonometric arguments

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#integration #definite-integrals #fourier-transform #dirac-delta #trigonometric-integrals
220
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Dirac comb Fourier transform

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#fourier-analysis #fourier-series #fourier-transform #signal-processing #dirac-delta
286
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Fourier transform for $H(t)$ and test function

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#fourier-analysis #fourier-transform #distribution-theory #dirac-delta

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