List questions from periodic-functions

Published on 08 Dec 2020 - 17:04

319

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How to generate an oscillating integer sequence without trig functions?

Published on 09 Dec 2020 - 18:56

60

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Prove or disprove: product of irrational matrix and any vector into the integral numbers.

Published on 09 Dec 2020 - 21:07

93

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Determine the common period

Published on 10 Dec 2020 - 13:22

39

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Show that $\lim_n \int_A f(nx)dx =\lambda(A) \frac1T \int_0^T f(t) dt$ for a measurable, bounded, T-periodic function.

Published on 11 Dec 2020 - 7:38

54

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Under what condition on $a$, the function $\cos ax \cos (ax+\pi)$ will be periodic over $x>0$?

Published on 12 Dec 2020 - 21:42

90

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Relation between integrals of absolute value cosine and sine of a multiple angle in a fraction period

Published on 13 Dec 2020 - 20:27

70

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Wave rider function

Published on 14 Dec 2020 - 12:46

65

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Finding $\alpha$ such that $\alpha(f(x)-\sqrt{\pi})=\cos(2\pi x)$, where $f(x)=\sum_{n\in\mathbb{Z}}{e^{-(x-n)^2}}$

Published on 26 Mar 2026 - 14:23

34

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how can calculate discrete value of $sinc^2x$

Published on 21 Dec 2020 - 6:35

17

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Finding the Image of an endomorphism on periodic indefinitely differentiable functions

Published on 12 Mar 2026 - 11:39

138

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Integration and periodic divergent series

Published on 28 Dec 2020 - 21:24

77

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Solving a differential equation on the torus $\mathbb{T}^1$.

Published on 06 Jan 2021 - 7:46

35

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Is pushdown transduction of a periodic sequence periodic?

Published on 24 Feb 2026 - 5:27

175

Views

Find the period of $f(x)=\sin^2(x)$

Published on 08 Jan 2021 - 23:14

List Question

Limit of periodic function at infinity

How to generate an oscillating integer sequence without trig functions?

Prove or disprove: product of irrational matrix and any vector into the integral numbers.

Determine the common period

Show that $\lim_n \int_A f(nx)dx =\lambda(A) \frac1T \int_0^T f(t) dt$ for a measurable, bounded, T-periodic function.

Under what condition on $a$, the function $\cos ax \cos (ax+\pi)$ will be periodic over $x>0$?

Relation between integrals of absolute value cosine and sine of a multiple angle in a fraction period

Wave rider function

Finding $\alpha$ such that $\alpha(f(x)-\sqrt{\pi})=\cos(2\pi x)$, where $f(x)=\sum_{n\in\mathbb{Z}}{e^{-(x-n)^2}}$

how can calculate discrete value of $sinc^2x$

Finding the Image of an endomorphism on periodic indefinitely differentiable functions

Integration and periodic divergent series

Solving a differential equation on the torus $\mathbb{T}^1$.

Is pushdown transduction of a periodic sequence periodic?

Find the period of $f(x)=\sin^2(x)$

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