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Sequences of step functions and measurable functions

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#measure-theory #lebesgue-measure #measurable-functions #step-function
62
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Can a step function be "smoothed" yet have the same definite integral?

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#real-analysis #smooth-functions #step-function
87
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Deriving the Unit-Height Impulse Function from Limit of Difference of Heaviside Functions

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#limits #measure-theory #step-function
178
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Difficult ODE with Heaviside as coefficient

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#calculus #ordinary-differential-equations #step-function
824
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Why is minimizing the Heaviside step function a combinatorial problem?

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#optimization #discrete-optimization #step-function
497
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Question on Heaviside step function (distribution) identities

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#distribution-theory #dirac-delta #step-function
46
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Does the function $u_{\alpha}(x)$ has a canonical name? What is the derivative of it at $\dfrac{\alpha}{2}$?

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#derivatives #step-function
355
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How do I correctly report whether a unit step function is "increasing" or "decreasing"?

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#limits #dirac-delta #continuity #step-function
1k
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Piecewise Relation for the Floor and Ceiling Functions

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#functions #ceiling-and-floor-functions #piecewise-continuity #step-function
69
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Identity function and floor function

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#real-analysis #functions #step-function
166
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Does Fourier Transform Convention Change Convolution

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#fourier-analysis #convolution #fast-fourier-transform #step-function
144
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Finding a sequence of step-functions to represent integrals

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#real-analysis #analysis #step-function
57
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Simple question on the antiderivative of a two variable function (or distribution)?

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#integration #terminology #distribution-theory #dirac-delta #step-function
44
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Confusion about $L^1$ and $\mathcal{L}^1$

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#integration #measure-theory #normed-spaces #lp-spaces #step-function
716
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Derivative of Contour Integral Representation of Step Function

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#complex-analysis #complex-integration #dirac-delta #step-function

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