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algebraic properties of delta-function

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#distribution-theory #dirac-delta
90
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If $\pi$ has marginals $\mu = \frac{1}{2} \delta_x + \frac{1}{2} \delta_y$ and $\nu$, must $\pi = \mu \otimes \nu$?

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#measure-theory #examples-counterexamples #dirac-delta #ergodic-theory #product-space
154
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Solving $y'' + 2y' + 2y = 2\delta' + 2\delta$ without Laplace transform

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#ordinary-differential-equations #dirac-delta #step-function
52
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How to deal with a constant in the argument of a dirac delta function

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#dirac-delta
109
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Dirac delta of a sum of tri functions

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#solution-verification #dirac-delta
76
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How to approach a second order ODE with Dirac Delta and?

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#ordinary-differential-equations #stochastic-processes #brownian-motion #dirac-delta #stochastic-differential-equations
56
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Integral of Dirac delta times another function with vectorial variable

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#integration #functions #vectors #dirac-delta #divergence-operator
84
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Double delta function value

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#physics #dirac-delta
51
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An identity which is involved with dirac delta function.

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#calculus #integration #dirac-delta
65
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Fourier transform of a spectrum

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#integration #fourier-transform #substitution #dirac-delta
374
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Integral of Dirac[t] delta function

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#distribution-theory #dirac-delta
90
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Is my derivation of the derivative of a product of the Heaviside function and a function correct? (A follow-up question)

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#derivatives #distribution-theory #convolution #dirac-delta #step-function
46
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Finding the limit of a linear combination of sequences of functions

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#limits #dirac-delta #sequence-of-function
209
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Is there a classical solution to this Fokker-Planck equation?

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#probability-distributions #partial-differential-equations #dirac-delta
43
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What's the backgroud of $\int_{-\infty}^{+\infty}h(x)f(x)=\int_{-\infty}^{+\infty}h(x)g(x)$?

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#real-analysis #lebesgue-measure #signal-processing #dirac-delta

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