List questions from periodic-functions

Published on 25 Mar 2015 - 15:42

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How do I find the period of the sine function $y = 20\sin\left[\frac{5 \pi}{2}\left(\frac{x -2}{5}\right)\right] + 100$

Published on 28 Mar 2015 - 5:03

403

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Simple harmonic motion~

Published on 28 Mar 2015 - 8:30

49

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If $f(t)$ is periodic, is there any $t$ that would equal to DC components?

Published on 30 Mar 2026 - 7:09

53

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How to check periodicity of $f(t)$ using samples

Published on 30 Mar 2026 - 8:58

118

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How to prove $ I_t=\int_{0}^{\infty}g(u)\,\cos\bigl(\frac{\pi\,u}{2t }\bigr)\,du$ is positive?

Published on 30 Mar 2015 - 11:15

155

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On the weak closedness of a closed ball with fixed $L^2$-norm in a periodic Sobolev space

Published on 02 Apr 2015 - 19:48

195

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Prove that $\int_{-\infty}^{\infty}e^{-\frac{\cosh^2(u)}{2x}}\,e^{-\frac{u^2}{2 t}}\,\cos\left(\frac{\pi\,u}{2t }\right)\,\cosh(u)\,du$ is positive

Published on 08 Apr 2015 - 12:22

27

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Show that $n\bmod m$ is periodic $\forall n,m \in \mathbb{N}^+$

Published on 09 Apr 2015 - 11:32

125

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Complex Fourier Series of $t^3$

Published on 11 Apr 2015 - 16:54

797

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Period of a function?

Published on 14 Apr 2015 - 8:05

182

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Given two piece-wise functions, prove their composition is periodic.

Published on 28 Mar 2026 - 16:44

100

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Same Expansion for Different Functions! What's Wrong?

Published on 28 Mar 2026 - 16:19

4.8k

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How to find periodic points non-algebraically

Published on 31 Mar 2026 - 9:22

467

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How to calculate power of a non-continuous signal

Published on 30 Mar 2026 - 12:28

List Question

Improper Integral of a periodic function converges

How do I find the period of the sine function $y = 20\sin\left[\frac{5 \pi}{2}\left(\frac{x -2}{5}\right)\right] + 100$

Simple harmonic motion~

If $f(t)$ is periodic, is there any $t$ that would equal to DC components?

How to check periodicity of $f(t)$ using samples

How to prove $ I_t=\int_{0}^{\infty}g(u)\,\cos\bigl(\frac{\pi\,u}{2t }\bigr)\,du$ is positive?

On the weak closedness of a closed ball with fixed $L^2$-norm in a periodic Sobolev space

Prove that $\int_{-\infty}^{\infty}e^{-\frac{\cosh^2(u)}{2x}}\,e^{-\frac{u^2}{2 t}}\,\cos\left(\frac{\pi\,u}{2t }\right)\,\cosh(u)\,du$ is positive

Show that $n\bmod m$ is periodic $\forall n,m \in \mathbb{N}^+$

Complex Fourier Series of $t^3$

Period of a function?

Given two piece-wise functions, prove their composition is periodic.

Same Expansion for Different Functions! What's Wrong?

How to find periodic points non-algebraically

How to calculate power of a non-continuous signal

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