List questions from periodic-functions

82

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If $f$ is $2 \pi$ periodic and $\int_{0}^{2 \pi} f(t) dt=0$ then $\int_{0}^{2 \pi} (f(t))^2 dt \le \int_{0}^{2 \pi} (f'(t))^2 dt$

Published on 26 Mar 2026 - 4:34

210

Views

Periodic expansion of function

Published on 21 May 2014 - 9:04

132

Views

Periodicity of the triginometric function $g(x) = \sin\Big(2 \pi b (x-a) \cos\big(2 \pi c (x - a) \big)\Big) + d$

Published on 28 May 2014 - 12:53

92

Views

Hidden subgroup problem for $\mathbb{Z} mod 2$

Published on 25 Mar 2026 - 11:08

151

Views

Period of hypocycloid

Published on 04 Jun 2014 - 5:26

556

Views

Approximate Periodic Function by shifting Basis Functions

Published on 26 Mar 2026 - 20:36

81

Views

Promise of the hidden subgroup problem for $\mathbb{Z} mod 2$

Published on 25 Mar 2026 - 12:54

131

Views

Is there a relationship between a function's period and number of roots?

Published on 26 Mar 2026 - 12:57

304

Views

Real-analytic periodic $f(z)$ that has more than 50 % of the derivatives positive?

Published on 19 Jun 2014 - 19:26

174

Views

A system of $n$ equations , how does it behave for growing $n$?

Published on 20 Jun 2014 - 11:22

12.2k

Views

How to find out the period of fractional part of x

Published on 25 Mar 2026 - 10:58

89

Views

A calculus problem

Published on 24 Jun 2014 - 9:18

411

Views

Cayley on "trivial transformations"

Published on 25 Jun 2014 - 20:07

110

Views

Period of $\frac{\sin(Ny)}{\sin y}$ with $N$ odd?

Published on 26 Jun 2014 - 18:21

188

Views

Periodic continuous function which is integrable on $\mathbb{R}$

Published on 27 Jun 2014 - 14:41

List Question

If $f$ is $2 \pi$ periodic and $\int_{0}^{2 \pi} f(t) dt=0$ then $\int_{0}^{2 \pi} (f(t))^2 dt \le \int_{0}^{2 \pi} (f'(t))^2 dt$

Periodic expansion of function

Periodicity of the triginometric function $g(x) = \sin\Big(2 \pi b (x-a) \cos\big(2 \pi c (x - a) \big)\Big) + d$

Hidden subgroup problem for $\mathbb{Z} mod 2$

Period of hypocycloid

Approximate Periodic Function by shifting Basis Functions

Promise of the hidden subgroup problem for $\mathbb{Z} mod 2$

Is there a relationship between a function's period and number of roots?

Real-analytic periodic $f(z)$ that has more than 50 % of the derivatives positive?

A system of $n$ equations , how does it behave for growing $n$?

How to find out the period of fractional part of x

A calculus problem

Cayley on "trivial transformations"

Period of $\frac{\sin(Ny)}{\sin y}$ with $N$ odd?

Periodic continuous function which is integrable on $\mathbb{R}$

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