Question

Solve the Laplace Equation $u_{xx} + u_{yy} = 0$ inside the square $0 \leq x \leq 1$, $0 \leq y \leq 1$

score 1.8k · Answer 1 · 2018-06-01 18:03:40

1.8k

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Solve the Laplace Equation $u_{xx} + u_{yy} = 0$ inside the square $0 \leq x \leq 1$, $0 \leq y \leq 1$

Published on 01 Jun 2018 - 18:03

score 6k · Answer 2 · 2018-06-01 21:29:51

6k

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Why isn't Fourier Series taught in calculus 2?

Published on 01 Jun 2018 - 21:29

score 80 · Answer 3 · 2026-03-25 17:44:33

80

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What is the rate of convergence of $f^N(x) = \sum_{n=-N}^N f_n e^{in x}$ to $f(x) = \sum_{n=-\infty}^\infty f_n e^{in x}$ in $L^2([0,2\pi])$?

Published on 25 Mar 2026 - 17:44

score 57 · Answer 4 · 2018-06-03 20:51:32

57

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Sign of exponential in Fourier Coefficient

Published on 03 Jun 2018 - 20:51

score 1.1k · Answer 5 · 2018-06-04 03:37:39

1.1k

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Find the fourier series of $\sin(x-\pi/6)$

Published on 04 Jun 2018 - 3:37

score 60 · Answer 6 · 2018-06-04 21:07:42

60

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Fourier series of $\psi (x) = \cos(2x)$ using the basis $e_n = \dfrac{e^{inx}}{\sqrt{2\pi}}$

Published on 04 Jun 2018 - 21:07

score 238 · Answer 7 · 2026-03-25 23:39:18

238

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Prove that finite linear combination of $x^n$ is dense in $L^2 ([0,1]) $

Published on 25 Mar 2026 - 23:39

score 1.8k · Answer 8 · 2018-06-06 13:52:17

1.8k

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Complex Fourier Series Coefficients

Published on 06 Jun 2018 - 13:52

score 85 · Answer 9 · 2026-03-25 08:08:57

85

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Solving a Poisson Equation to Obtain the Flow Field Inside a Groove

Published on 25 Mar 2026 - 8:08

score 324 · Answer 10 · 2018-06-06 16:42:19

324

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Deducing sums of certain series from the Fourier series of $f(x)=\begin{cases} 0 & -\pi< x<0 \\\sin x & 0\leq x\leq \pi \end{cases}$

Published on 06 Jun 2018 - 16:42

score 2.1k · Answer 11 · 2018-06-07 13:21:06

2.1k

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How to choose between real and complex coefficients of Fourier series?

Published on 07 Jun 2018 - 13:21

score 660 · Answer 12 · 2018-06-07 18:42:19

660

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Fourier series and coefficients c1

Published on 07 Jun 2018 - 18:42

score 450 · Answer 13 · 2018-06-08 12:50:07

450

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Function with positive Fourier coefficients decaying as $\frac{1}{n}$

Published on 08 Jun 2018 - 12:50

score 45 · Answer 14 · 2026-03-25 21:51:09

45

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Does $f$ periodic and continuous over $\Bbb R$ not imply that it is $L^p(0,T)\ \forall p\in[1,\infty]$ and the Fourier series converges a.e.?

Published on 25 Mar 2026 - 21:51

score 206 · Answer 15 · 2026-03-25 21:50:04

206

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Problem about convergence of sequence of partial sums of Fourier series

Published on 25 Mar 2026 - 21:50

List Question

Solve the Laplace Equation $u_{xx} + u_{yy} = 0$ inside the square $0 \leq x \leq 1$, $0 \leq y \leq 1$

Why isn't Fourier Series taught in calculus 2?

What is the rate of convergence of $f^N(x) = \sum_{n=-N}^N f_n e^{in x}$ to $f(x) = \sum_{n=-\infty}^\infty f_n e^{in x}$ in $L^2([0,2\pi])$?

Sign of exponential in Fourier Coefficient

Find the fourier series of $\sin(x-\pi/6)$

Fourier series of $\psi (x) = \cos(2x)$ using the basis $e_n = \dfrac{e^{inx}}{\sqrt{2\pi}}$

Prove that finite linear combination of $x^n$ is dense in $L^2 ([0,1]) $

Complex Fourier Series Coefficients

Solving a Poisson Equation to Obtain the Flow Field Inside a Groove

Deducing sums of certain series from the Fourier series of $f(x)=\begin{cases} 0 & -\pi< x<0 \\\sin x & 0\leq x\leq \pi \end{cases}$

How to choose between real and complex coefficients of Fourier series?

Fourier series and coefficients c1

Function with positive Fourier coefficients decaying as $\frac{1}{n}$

Does $f$ periodic and continuous over $\Bbb R$ not imply that it is $L^p(0,T)\ \forall p\in[1,\infty]$ and the Fourier series converges a.e.?

Problem about convergence of sequence of partial sums of Fourier series

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