Question

How Fourier coefficients of $\sum_{k\in \mathbb Z} g(x+ 2k\pi)$ and $\sum_{k\in \mathbb Z} g(x+ (2k+1)\pi) $ are related?

score 66 · Answer 1 · 2026-03-26 14:34:57

66

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How Fourier coefficients of $\sum_{k\in \mathbb Z} g(x+ 2k\pi)$ and $\sum_{k\in \mathbb Z} g(x+ (2k+1)\pi) $ are related?

Published on 26 Mar 2026 - 14:34

score 429 · Answer 2 · 2026-04-02 12:24:45

429

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Show that the polynomial has at least one zero in the interval $(0,1)$.

Published on 02 Apr 2026 - 12:24

score 2k · Answer 3 · 2018-06-16 10:31:53

2k

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Two continuous functions equal in a dense subset are equal in set.

Published on 16 Jun 2018 - 10:31

score 442 · Answer 4 · 2026-03-29 11:44:29

442

Views

Postulate or Theorem: The areas of similar plane figures are proportional their linear dimensions squared?

Published on 29 Mar 2026 - 11:44

score 627 · Answer 5 · 2018-06-16 17:38:07

627

Views

Show that $a$ is limit point to the set $[a,b]$

Published on 16 Jun 2018 - 17:38

score 3.3k · Answer 6 · 2026-03-25 06:03:25

3.3k

Views

Proving that d(n) is odd if and only if n is a perfect square

Published on 25 Mar 2026 - 6:03

score 279 · Answer 7 · 2018-06-16 22:15:39

279

Views

Irrationality of square roots of non-perfect squares using infinte descent

Published on 16 Jun 2018 - 22:15

score 2.4k · Answer 8 · 2018-06-17 00:54:10

2.4k

Views

Show that any set of n vectors in V spans V if and only if it is linearly independent.

Published on 17 Jun 2018 - 0:54

score 231 · Answer 9 · 2026-03-27 18:35:49

231

Views

$13^{11^{7^{5^{3^2}}}}\bmod 100$ - answer verification

Published on 27 Mar 2026 - 18:35

score 2.9k · Answer 10 · 2018-06-17 07:09:17

2.9k

Views

Example that if |f| is measurable, then f is not necessarily

Published on 17 Jun 2018 - 7:09

score 175 · Answer 11 · 2026-03-25 07:44:47

175

Views

How to prove axiom of pairs from power set axiom and replacement?

Published on 25 Mar 2026 - 7:44

score 1.1k · Answer 12 · 2026-03-26 07:57:01

1.1k

Views

prove that the three points are collinear

Published on 26 Mar 2026 - 7:57

score 106 · Answer 13 · 2018-06-17 13:46:45

106

Views

Boundary of boundary of open set is equal to the boundary of said set

Published on 17 Jun 2018 - 13:46

score 151 · Answer 14 · 2026-03-28 12:02:52

151

Views

$|\mathbb{Q}(a):\mathbb{Q}|=n,|\mathbb{Q}(b):\mathbb{Q}| =m$ and $\gcd(m,n)=1 \implies|\mathbb{Q}(ab):\mathbb{Q}|=mn$

Published on 28 Mar 2026 - 12:02

score 1.8k · Answer 15 · 2018-06-17 22:58:03

1.8k

Views

Where is the mistake in my reasoning?

Published on 17 Jun 2018 - 22:58

List Question

How Fourier coefficients of $\sum_{k\in \mathbb Z} g(x+ 2k\pi)$ and $\sum_{k\in \mathbb Z} g(x+ (2k+1)\pi) $ are related?

Show that the polynomial has at least one zero in the interval $(0,1)$.

Two continuous functions equal in a dense subset are equal in set.

Postulate or Theorem: The areas of similar plane figures are proportional their linear dimensions squared?

Show that $a$ is limit point to the set $[a,b]$

Proving that d(n) is odd if and only if n is a perfect square

Irrationality of square roots of non-perfect squares using infinte descent

Show that any set of n vectors in V spans V if and only if it is linearly independent.

$13^{11^{7^{5^{3^2}}}}\bmod 100$ - answer verification

Example that if |f| is measurable, then f is not necessarily

How to prove axiom of pairs from power set axiom and replacement?

prove that the three points are collinear

Boundary of boundary of open set is equal to the boundary of said set

$|\mathbb{Q}(a):\mathbb{Q}|=n,|\mathbb{Q}(b):\mathbb{Q}| =m$ and $\gcd(m,n)=1 \implies|\mathbb{Q}(ab):\mathbb{Q}|=mn$

Where is the mistake in my reasoning?

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