Question

Using Fourier Series of $|x|$ to find $\sum \frac{1}{n^2}$

score 216 · Answer 1 · 2026-04-13 17:25:52

216

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Using Fourier Series of $|x|$ to find $\sum \frac{1}{n^2}$

Published on 13 Apr 2026 - 17:25

score 115 · Answer 2 · 2026-04-11 09:48:27

115

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Choosing a function whose Fourier coefficients are the given sequence

Published on 11 Apr 2026 - 9:48

score 24 · Answer 3 · 2026-04-12 04:23:27

24

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How to get the $n$ value for a Fourier Series knowing the frequency?

Published on 12 Apr 2026 - 4:23

score 38 · Answer 4 · 2026-04-16 09:21:49

38

Views

Let $f(x)=g(x)$ for all $x$ in $[-\pi,\pi]$ except when $x=0$. Show that $f(x)$ and $g(x)$ have the same Fourier Coefficients?

Published on 16 Apr 2026 - 9:21

score 52 · Answer 5 · 2026-04-12 23:36:50

52

Views

Base for Fourier series in an interval.

Published on 12 Apr 2026 - 23:36

score 138 · Answer 6 · 2026-04-13 12:44:14

138

Views

How to find the Fourier Coefficient to this discrete time signal?

Published on 13 Apr 2026 - 12:44

score 29 · Answer 7 · 2026-04-12 20:17:27

29

Views

What is the intuitive reason behind vanishing of $a_n$ for odd $n$ in Fourier expansion of the full wave rectifier output signal?

Published on 12 Apr 2026 - 20:17

score 43 · Answer 8 · 2026-04-25 17:35:27

43

Views

Solution verification for this Fourier series problem

Published on 25 Apr 2026 - 17:35

score 57 · Answer 9 · 2026-04-16 06:27:47

57

Views

Given specific real Fourier coefficients, does there have to be a function that matches that?

Published on 16 Apr 2026 - 6:27

score 116 · Answer 10 · 2026-04-10 07:14:13

116

Views

Need help evaluating this infinite sum involving a sine function and squared denominator

Published on 10 Apr 2026 - 7:14

score 141 · Answer 11 · 2026-04-11 20:56:50

141

Views

How can one calculate $\sum_{n=1}^{\infty} \frac{(-1)^n}{n^2}$?

Published on 11 Apr 2026 - 20:56

score 511 · Answer 12 · 2026-04-12 05:00:58

511

Views

Limit of fourier series

Published on 12 Apr 2026 - 5:00

score 35 · Answer 13 · 2026-04-15 01:28:43

35

Views

Characterisation for real analytic function vis Fourier coefficient

Published on 15 Apr 2026 - 1:28

score 134 · Answer 14 · 2026-04-12 05:41:54

134

Views

Fourier series of a complex exponential of a periodic function

Published on 12 Apr 2026 - 5:41

score 29 · Answer 15 · 2026-04-12 12:14:44

29

Views

Orthogonality in the context of Fourier coefficients

Published on 12 Apr 2026 - 12:14

List Question

Using Fourier Series of $|x|$ to find $\sum \frac{1}{n^2}$

Choosing a function whose Fourier coefficients are the given sequence

How to get the $n$ value for a Fourier Series knowing the frequency?

Let $f(x)=g(x)$ for all $x$ in $[-\pi,\pi]$ except when $x=0$. Show that $f(x)$ and $g(x)$ have the same Fourier Coefficients?

Base for Fourier series in an interval.

How to find the Fourier Coefficient to this discrete time signal?

What is the intuitive reason behind vanishing of $a_n$ for odd $n$ in Fourier expansion of the full wave rectifier output signal?

Solution verification for this Fourier series problem

Given specific real Fourier coefficients, does there have to be a function that matches that?

Need help evaluating this infinite sum involving a sine function and squared denominator

How can one calculate $\sum_{n=1}^{\infty} \frac{(-1)^n}{n^2}$?

Limit of fourier series

Characterisation for real analytic function vis Fourier coefficient

Fourier series of a complex exponential of a periodic function

Orthogonality in the context of Fourier coefficients

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