Question

Is $f(x) = \sum_{n\geq 1} \frac{\cos n x }{\sqrt{n}}$ monotonic on $(0,0.1)$?

score 179 · Answer 1 · 2026-03-26 04:35:12

179

Views

Is $f(x) = \sum_{n\geq 1} \frac{\cos n x }{\sqrt{n}}$ monotonic on $(0,0.1)$?

Published on 26 Mar 2026 - 4:35

score 24 · Answer 2 · 2019-03-26 05:01:36

24

Views

Fourier transform: How long should the observed period be with respect to the frequencies that I expect to observe?

Published on 26 Mar 2019 - 5:01

score 893 · Answer 3 · 2026-03-25 17:19:52

893

Views

How do I solve the non-homogeneous wave equation with homogeneous boundary and initial conditions?

Published on 25 Mar 2026 - 17:19

score 1.3k · Answer 4 · 2026-03-25 22:04:20

1.3k

Views

For Fourier series, where does the $\pi$ and the $2\pi$ come from?

Published on 25 Mar 2026 - 22:04

score 146 · Answer 5 · 2026-03-27 05:15:50

146

Views

Convolution of Delta Functions with a pole

Published on 27 Mar 2026 - 5:15

score 115 · Answer 6 · 2019-03-29 18:48:57

115

Views

Partial sums on Fourier Series; Simple function

Published on 29 Mar 2019 - 18:48

score 106 · Answer 7 · 2019-03-30 08:03:02

106

Views

Fourier series trigonometric bn/an value

Published on 30 Mar 2019 - 8:03

score 104 · Answer 8 · 2026-03-27 07:50:25

104

Views

$2 \cdot \int_0^1 \log\big(\Gamma(x)\big) \cdot \sin(2 \pi n x) dx = \frac{\gamma + \log(2 \pi) + \log(n)}{n \pi}$

Published on 27 Mar 2026 - 7:50

score 30 · Answer 9 · 2026-03-26 04:53:28

30

Views

Is there something similar to Fourier Series where the harmonics are division by n?

Published on 26 Mar 2026 - 4:53

score 48 · Answer 10 · 2019-03-31 22:09:34

48

Views

Is the function $f(x) = \sum_{n=1}^\infty \cos(nx)/\sqrt{n}$ differentiable on $(0,\pi)$?

Published on 31 Mar 2019 - 22:09

score 888 · Answer 11 · 2026-03-25 22:04:12

888

Views

Prove that trigonometric series is/isn't a Fourier series

Published on 25 Mar 2026 - 22:04

score 79 · Answer 12 · 2019-04-02 14:50:48

79

Views

Fourier Series Convergence Question

Published on 02 Apr 2019 - 14:50

score 33 · Answer 13 · 2019-04-02 17:47:46

33

Views

Even and odd expansion of a function in [-2L,2L]

Published on 02 Apr 2019 - 17:47

score 492 · Answer 14 · 2019-04-02 20:16:45

492

Views

Question about an Incomplete Orthonormal System in $L^2([-\pi,\pi]).$

Published on 02 Apr 2019 - 20:16

score 5.7k · Answer 15 · 2019-04-02 21:27:09

5.7k

Views

Fourier Series for $\cos^3(x)$

Published on 02 Apr 2019 - 21:27

List Question

Is $f(x) = \sum_{n\geq 1} \frac{\cos n x }{\sqrt{n}}$ monotonic on $(0,0.1)$?

Fourier transform: How long should the observed period be with respect to the frequencies that I expect to observe?

How do I solve the non-homogeneous wave equation with homogeneous boundary and initial conditions?

For Fourier series, where does the $\pi$ and the $2\pi$ come from?

Convolution of Delta Functions with a pole

Partial sums on Fourier Series; Simple function

Fourier series trigonometric bn/an value

$2 \cdot \int_0^1 \log\big(\Gamma(x)\big) \cdot \sin(2 \pi n x) dx = \frac{\gamma + \log(2 \pi) + \log(n)}{n \pi}$

Is there something similar to Fourier Series where the harmonics are division by n?

Is the function $f(x) = \sum_{n=1}^\infty \cos(nx)/\sqrt{n}$ differentiable on $(0,\pi)$?

Prove that trigonometric series is/isn't a Fourier series

Fourier Series Convergence Question

Even and odd expansion of a function in [-2L,2L]

Question about an Incomplete Orthonormal System in $L^2([-\pi,\pi]).$

Fourier Series for $\cos^3(x)$

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