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Characterization of regulated functions using step functions

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#analysis #step-function
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Delta function and Laplace transformation

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#calculus #ordinary-differential-equations #laplace-transform #dirac-delta #step-function
40
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What is value of integration of step function which has complex variable

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#complex-analysis #step-function
59
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Poles of analytic approximation of step function

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#complex-analysis #complex-numbers #residue-calculus #step-function
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Why Laplace Transform of 1 and u(t) are the same.

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#laplace-transform #step-function
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Pointwise sup of step functions is lower semicontinuous (a.e.)

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#real-analysis #pointwise-convergence #semicontinuous-functions #step-function
60
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Can every step function be partitioned into equally-sized subintervals?

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#elementary-number-theory #real-numbers #set-partition #step-function
41
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Need help understanding how to set up the following problem dealing with step functions.

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#solution-verification #step-function
203
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Approximate every monotonic increasing function $f$ uniformly by a sequence $(f_n)_n$ of step functions, s.t. $f_{n+1}-f_n$ is monotonous increasing?

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#calculus #uniform-convergence #monotone-functions #step-function
50
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Construct a sequence of step function $f_k$ so that $f_k \rightarrow f$ a.e.

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#measure-theory #lebesgue-integral #measurable-functions #step-function
43
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Length of integer repeats in an integer square root step function

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#sequences-and-series #elementary-number-theory #radicals #ceiling-and-floor-functions #step-function
204
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Riemann integrability of step functions

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#real-analysis #riemann-integration #step-function #simple-functions
183
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Computing the Fourier transform of three distributions - one last part

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#fourier-analysis #fourier-transform #distribution-theory #dirac-delta #step-function
266
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Chain rule use in discontinuous generalized function derivative

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#measure-theory #derivatives #distribution-theory #step-function
97
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Integral of Heaviside($R^2-x^2-y^2$)

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#integration #step-function

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