Question

How would one calculate maximum profit from jobs of different lengths while not crossing given time limit

score 24 · Answer 1 · 2026-04-14 12:52:28

24

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How would one calculate maximum profit from jobs of different lengths while not crossing given time limit

Published on 14 Apr 2026 - 12:52

score 102 · Answer 2 · 2026-04-15 22:07:13

102

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Show that $\sum\limits_{n\leq x} \varphi(n)=\frac{1}{2}\sum\limits_{n\leq x}\mu(n)[\frac{x}{n}]^2+\frac{1}{2}$.

Published on 15 Apr 2026 - 22:07

score 176 · Answer 3 · 2026-04-22 20:44:02

176

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A functional equation problem: $f(f(x))=x^2-x+1$

Published on 22 Apr 2026 - 20:44

score 51 · Answer 4 · 2026-04-15 07:46:12

51

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Is it possible to express $f(x) = \frac{C_1a_1^x+C_2a_2^x}{C_3a_3^x+C_4a_4^x}$ in the form $ce^{dx}$?

Published on 15 Apr 2026 - 7:46

score 109 · Answer 5 · 2026-04-17 01:23:54

109

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Prove that $(X^2 + 1)^n + p$ is irreducible over $\mathbb{Q}[X]$

Published on 17 Apr 2026 - 1:23

score 31 · Answer 6 · 2026-04-12 13:38:52

31

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General properties of "weakly linked" families of sets

Published on 12 Apr 2026 - 13:38

score 185 · Answer 7 · 2026-04-13 16:09:03

185

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Clean proof of Fermat's last theorem for $n=3$

Published on 13 Apr 2026 - 16:09

score 196 · Answer 8 · 2026-04-15 06:43:56

196

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Trigonometric equation $\tan x \tan 2x = \cot 2x \cot 3x$

Published on 15 Apr 2026 - 6:43

score 459 · Answer 9 · 2026-04-13 23:26:19

459

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Verify that an implicit equation is the solution to the differential equation.

Published on 13 Apr 2026 - 23:26

score 286 · Answer 10 · 2026-04-13 16:04:53

286

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Finding the covariance of two random variables knowing the joint probability distribution

Published on 13 Apr 2026 - 16:04

score 62 · Answer 11 · 2026-04-16 06:06:23

62

Views

Average order of $\frac{d(n)}{n^\alpha}$ where $\alpha>0,\alpha\neq 1$.

Published on 16 Apr 2026 - 6:06

score 689 · Answer 12 · 2026-04-12 06:54:41

689

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Introduction to Topological Manifolds: Problem Suggestions

Published on 12 Apr 2026 - 6:54

score 83 · Answer 13 · 2026-04-17 11:09:39

83

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Finding expression for $\sum\limits_{n\leq x}\frac{\varphi(n)}{n^\alpha}$.

Published on 17 Apr 2026 - 11:09

score 167 · Answer 14 · 2026-04-10 07:22:05

167

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General mathematical solution to this problem? Code solution given

Published on 10 Apr 2026 - 7:22

score 54 · Answer 15 · 2026-04-17 09:23:58

54

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If $X\subset\mathbb{N}$ such that $\vert\mathbb{N}\setminus X\vert=\aleph_0,$ does $X$ or $\mathbb{N}\setminus X$ contain an arithmetic sequence?

Published on 17 Apr 2026 - 9:23

List Question

How would one calculate maximum profit from jobs of different lengths while not crossing given time limit

Show that $\sum\limits_{n\leq x} \varphi(n)=\frac{1}{2}\sum\limits_{n\leq x}\mu(n)[\frac{x}{n}]^2+\frac{1}{2}$.

A functional equation problem: $f(f(x))=x^2-x+1$

Is it possible to express $f(x) = \frac{C_1a_1^x+C_2a_2^x}{C_3a_3^x+C_4a_4^x}$ in the form $ce^{dx}$?

Prove that $(X^2 + 1)^n + p$ is irreducible over $\mathbb{Q}[X]$

General properties of "weakly linked" families of sets

Clean proof of Fermat's last theorem for $n=3$

Trigonometric equation $\tan x \tan 2x = \cot 2x \cot 3x$

Verify that an implicit equation is the solution to the differential equation.

Finding the covariance of two random variables knowing the joint probability distribution

Average order of $\frac{d(n)}{n^\alpha}$ where $\alpha>0,\alpha\neq 1$.

Introduction to Topological Manifolds: Problem Suggestions

Finding expression for $\sum\limits_{n\leq x}\frac{\varphi(n)}{n^\alpha}$.

General mathematical solution to this problem? Code solution given

If $X\subset\mathbb{N}$ such that $\vert\mathbb{N}\setminus X\vert=\aleph_0,$ does $X$ or $\mathbb{N}\setminus X$ contain an arithmetic sequence?

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