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Can we formulate a probability density distribution (not function!) for every probability measure?

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#probability-theory #measure-theory #distribution-theory #dirac-delta
875
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Modelling Dirac Delta Function and Proving its Area Property

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#integration #limits #dirac-delta
292
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A doubt about a trivial Dirac Delta Integral

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#integration #definite-integrals #dirac-delta
231
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Fourier transform of tempered distribution $x^{\alpha}$

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#distribution-theory #dirac-delta
811
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Laplace-transform of $\delta''(t-1)\theta(t)$

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#laplace-transform #distribution-theory #dirac-delta
59
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Distribution equation.

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#distribution-theory #dirac-delta
558
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occupation measure

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#calculus #measure-theory #distribution-theory #dirac-delta #characteristic-functions
725
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Integral involving the derivative of the Dirac's Delta "function"

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#functional-analysis #distribution-theory #dirac-delta
595
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Probability measures and dirac measures

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#probability-theory #measure-theory #convex-analysis #dirac-delta
1.1k
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Dirac delta function composition

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#dirac-delta
50
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Is there a differentiable function that can approximate 5 impulse responses?

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#special-functions #signal-processing #dirac-delta
31.3k
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What is the product of a Dirac delta function with itself?

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#distribution-theory #dirac-delta
2k
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ODE Laplace Transforms: what impulse brings an oscillating system to rest?

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#ordinary-differential-equations #laplace-transform #convolution #dirac-delta
602
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Heaviside unit step- and delta function

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#calculus #integration #dirac-delta
5.7k
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Change of variables for a Dirac delta function

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#integration #notation #distribution-theory #dirac-delta

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