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Convolution of $e^{-at}u(t)$ and $e^{at}u(-t)$

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#integration #definite-integrals #convolution #step-function
169
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Heavyside function and Laplace transform

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#self-learning #laplace-transform #step-function
44
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Solving the integral of a step function

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#integration #riemann-integration #riemann-sum #step-function
105
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construction of step functions to show integrability using Beppo Levi's theorem

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#measure-theory #convergence-divergence #lebesgue-integral #step-function
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Continuity and Differentiability of Step function?

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#derivatives #continuity #dirac-delta #step-function
213
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Is the mentioned method appropriate to solve $\int_{-\infty}^{\infty}\frac{\sin x}{x}\, dx$?

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#integration #fourier-transform #dirac-delta #step-function
2.2k
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Fourier series of Heaviside step function?

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#analysis #exponential-function #fourier-series #trigonometric-series #step-function
143
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Heaviside step function with function as argument

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#step-function
1k
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Show step functions are Riemann integrable

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#real-analysis #integration #riemann-integration #step-function
65
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Why is $ \prod_{n=0}^{N-1} u[x_n + \theta] - u[x_n-\theta] = u[\theta - \max(|x_n| )]$?

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#calculus #probability #statistics #products #step-function
1.2k
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How do we calculate integrals without knowing differentiation?

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#calculus #definite-integrals #indefinite-integrals #step-function #partitions-for-integration
60
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showing that $\|f\|_1=\sup \{\int_{[a,b]}\tau(x)dx \mid \tau \text{ step function and } \tau\le f\} $

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#integration #measure-theory #lebesgue-integral #step-function
25
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An exemple of integral of distributions

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#integration #limits #dirac-delta #step-function
157
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Contour Integral over Heaviside Function

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#contour-integration #greens-function #step-function
265
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Representing rounding algebraically

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#algebra-precalculus #integer-programming #rounding-error #step-function

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