Question

$ \int_{0}^{1} \sum_{m=1}^{\infty} a_m \sin(m\pi x)\sin(l \pi x)dx = \frac{a_l}{2}$

score 34 · Answer 1 · 2026-03-25 14:36:50

34

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$ \int_{0}^{1} \sum_{m=1}^{\infty} a_m \sin(m\pi x)\sin(l \pi x)dx = \frac{a_l}{2}$

Published on 25 Mar 2026 - 14:36

score 103 · Answer 2 · 2018-12-08 10:27:39

103

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Strict Inequality for Fourier Coefficients

Published on 08 Dec 2018 - 10:27

score 401 · Answer 3 · 2018-12-09 18:19:46

401

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Fourier transform of $f(t)\cos(at)$ given fourier transform of $f(t)$

Published on 09 Dec 2018 - 18:19

score 101 · Answer 4 · 2018-12-10 02:16:29

101

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how to compute the coefficients for half-range expansion of Fourier Series?

Published on 10 Dec 2018 - 2:16

score 182 · Answer 5 · 2018-12-11 00:07:01

182

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recurrence relation for $\zeta(2n)$

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score 1.1k · Answer 6 · 2018-12-11 11:37:15

1.1k

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Is there a continuous waveform that sounds the same as a square wave?

Published on 11 Dec 2018 - 11:37

score 40 · Answer 7 · 2026-03-26 04:53:45

40

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Why the coefficients of G(t) depends on "n" in solving PDE wave equation by separation of variables

Published on 26 Mar 2026 - 4:53

score 238 · Answer 8 · 2026-03-26 02:54:29

238

Views

Extra factor of 2 when evaluating an infinite sum using fourier series and parseval's theorem.

Published on 26 Mar 2026 - 2:54

score 3.8k · Answer 9 · 2018-12-16 00:20:02

3.8k

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Fourier series of $\frac{1}{x}$

Published on 16 Dec 2018 - 0:20

score 775 · Answer 10 · 2018-12-19 15:33:43

775

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Fourier coefficients of $\sin{(2 \pi f_0 t)}$

Published on 19 Dec 2018 - 15:33

score 60 · Answer 11 · 2018-12-21 23:04:43

60

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Why are the coefficients in this proof multiplied by T?

Published on 21 Dec 2018 - 23:04

score 213 · Answer 12 · 2026-03-25 14:22:16

213

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Determine the normalised eigenfunctions for the BVP: $y''+λy=0, y(0)=0, y(1)=0$

Published on 25 Mar 2026 - 14:22

score 28 · Answer 13 · 2018-12-23 17:52:17

If one expands a function $\phi(x,v(\theta),t)$ to complex Fourier: $\sum_{k=-\infty}^{\infty} \phi_k(x,t) e^{ik\theta}$, then where's $v$?

score 199 · Answer 14 · 2026-03-25 13:58:11

199

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$\sum\limits_{m\geq1}\sum\limits_{n\geq1}\frac{(-1)^n}{n^3}\sin\left(\frac{n}{m^2}\right)=\frac{\pi^6}{11340}-\frac{\pi^4}{72}$ Numerical evidence

Published on 25 Mar 2026 - 13:58

score 53 · Answer 15 · 2018-12-25 16:31:27

53

Views

Finding Fourier Series Trouble

Published on 25 Dec 2018 - 16:31

List Question

$ \int_{0}^{1} \sum_{m=1}^{\infty} a_m \sin(m\pi x)\sin(l \pi x)dx = \frac{a_l}{2}$

Strict Inequality for Fourier Coefficients

Fourier transform of $f(t)\cos(at)$ given fourier transform of $f(t)$

how to compute the coefficients for half-range expansion of Fourier Series?

recurrence relation for $\zeta(2n)$

Is there a continuous waveform that sounds the same as a square wave?

Why the coefficients of G(t) depends on "n" in solving PDE wave equation by separation of variables

Extra factor of 2 when evaluating an infinite sum using fourier series and parseval's theorem.

Fourier series of $\frac{1}{x}$

Fourier coefficients of $\sin{(2 \pi f_0 t)}$

Why are the coefficients in this proof multiplied by T?

Determine the normalised eigenfunctions for the BVP: $y''+λy=0, y(0)=0, y(1)=0$

If one expands a function $\phi(x,v(\theta),t)$ to complex Fourier: $\sum_{k=-\infty}^{\infty} \phi_k(x,t) e^{ik\theta}$, then where's $v$?

$\sum\limits_{m\geq1}\sum\limits_{n\geq1}\frac{(-1)^n}{n^3}\sin\left(\frac{n}{m^2}\right)=\frac{\pi^6}{11340}-\frac{\pi^4}{72}$ Numerical evidence

Finding Fourier Series Trouble

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