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Proof that $\int\delta(t)\cos(t)dt = 1$ using integration by parts

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#integration #dirac-delta
135
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Dirac delta multiple integral bounds

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#integration #dirac-delta #quantum-field-theory
109
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$X$ r.v of a uniform law, find cdf of $Y=\min(X,a)$ $(a \in [0,1])$ prove the law of Y is linear combination of a density and a Dirac measure

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#probability-theory #random-variables #proof-explanation #solution-verification #dirac-delta
60
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Integral exp(ax+H(x))

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#exponential-function #indefinite-integrals #dirac-delta
89
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Problem with an integral in statistical mechanics

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#integration #dirac-delta #statistical-mechanics
135
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Derivative of Dirac delta distribution

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#calculus #derivatives #distribution-theory #dirac-delta
277
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Solving Dirac delta function for $ \int_{-\infty }^{\infty}e^{x}\delta (x^{2}-2x)dx $

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#dirac-delta
677
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Derivative of Heaviside step function multiplied by an exponential

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#dirac-delta
69
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Legendre Transformation of the functional $F=(\phi(x))^n$

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#functional-analysis #functional-equations #dirac-delta
221
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How can I compute the integral of the product of two Dirac delta and a polynomial?

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#integration #definite-integrals #distribution-theory #dirac-delta
71
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Replacement of the delta function, Free-space Green Function

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#reference-request #dirac-delta
920
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Dirac delta function composition rule

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#mathematical-physics #dirac-delta
1.2k
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Multiplying the dirac delta distribution by a function

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#distribution-theory #dirac-delta
50
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What is the result of $\delta'*H$?

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#fourier-analysis #distribution-theory #dirac-delta
442
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Rigorous definition of integration of hyperreal functions?

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#integration #dirac-delta #nonstandard-analysis

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