Question

Improper integral associated with Basel problem.

score 98 · Answer 1 · 2022-10-15 00:50:34

98

Views

Improper integral associated with Basel problem.

Published on 15 Oct 2022 - 0:50

score 30 · Answer 2 · 2022-10-31 12:14:38

30

Views

Expressing $\sum_{k=1}^3(A_k\cos(x-\alpha_k)-C_k)^2$ in the form $A\cos(x-\alpha)+B$

Published on 31 Oct 2022 - 12:14

score 94 · Answer 3 · 2026-03-25 23:11:04

94

Views

The polynomial $1 + x_1^2 + \dots + x_n^2$ cannot be written as a sum of $n$ rational squares of polynomials.

Published on 25 Mar 2026 - 23:11

score 169 · Answer 4 · 2022-11-11 00:39:10

There is a set of numbers whose sum is equal to the sum of the elements squared. What's bigger: the sum of the cubes or the sum of the fourth powers?

score 180 · Answer 5 · 2026-02-24 07:06:08

180

Views

Proof about the properties of the centroid in a finite set?

Published on 24 Feb 2026 - 7:06

score 385 · Answer 6 · 2022-11-20 13:48:13

385

Views

Prove that there exist infinitely many values of $n$ such that $z_n, z_{n+1}, …, z_{n+2019}$ are all odd.

Published on 20 Nov 2022 - 13:48

score 81 · Answer 7 · 2026-03-28 06:59:45

81

Views

Solve for vector $r$ in an equation involving sum of the square elements of $r$ and the sum of the square elements of $Mr$ where $M$ is a known matrix

Published on 28 Mar 2026 - 6:59

score 19 · Answer 8 · 2022-12-11 18:19:20

19

Views

Show divergence of infinite sum outside of $(-1,1)\backslash\{0\}$.

Published on 11 Dec 2022 - 18:19

score 89 · Answer 9 · 2022-12-17 17:03:31

89

Views

show (or disprove) that numbers with at most two prime factors can be expressed as a sum of two squares in at most 2 ways

Published on 17 Dec 2022 - 17:03

score 168 · Answer 10 · 2022-12-18 11:51:09

168

Views

Why do I get this value?

Published on 18 Dec 2022 - 11:51

score 124 · Answer 11 · 2023-01-16 01:36:40

124

Views

For what integers $n$, do we have $30n+11=6x^2+5y^2$ for some integers $x,y$?

Published on 16 Jan 2023 - 1:36

score 34 · Answer 12 · 2023-01-18 09:21:57

34

Views

Find $\mathop {\lim }\limits_{n \to \infty } \,n\left( {\frac{{{1^{2022}} + {2^{2022}} + ... + {n^{2022}}}}{{{n^{2023}}}} - \frac{1}{{2023}}} \right)$

Published on 18 Jan 2023 - 9:21

score 191 · Answer 13 · 2023-01-19 13:40:23

191

Views

BMO2 1994 Q1 - Need Help

Published on 19 Jan 2023 - 13:40

score 264 · Answer 14 · 2023-01-24 14:45:01

264

Views

All natural number solutions for the equation $a^2+b^2=2c^2$

Published on 24 Jan 2023 - 14:45

score 249 · Answer 15 · 2023-01-25 15:30:44

249

Views

All natural number solutions to the equation $a^2+b^2=c^2+d^2=2x^2$

Published on 25 Jan 2023 - 15:30

List Question

Improper integral associated with Basel problem.

Expressing $\sum_{k=1}^3(A_k\cos(x-\alpha_k)-C_k)^2$ in the form $A\cos(x-\alpha)+B$

The polynomial $1 + x_1^2 + \dots + x_n^2$ cannot be written as a sum of $n$ rational squares of polynomials.

There is a set of numbers whose sum is equal to the sum of the elements squared. What's bigger: the sum of the cubes or the sum of the fourth powers?

Proof about the properties of the centroid in a finite set?

Prove that there exist infinitely many values of $n$ such that $z_n, z_{n+1}, …, z_{n+2019}$ are all odd.

Solve for vector $r$ in an equation involving sum of the square elements of $r$ and the sum of the square elements of $Mr$ where $M$ is a known matrix

Show divergence of infinite sum outside of $(-1,1)\backslash\{0\}$.

show (or disprove) that numbers with at most two prime factors can be expressed as a sum of two squares in at most 2 ways

Why do I get this value?

For what integers $n$, do we have $30n+11=6x^2+5y^2$ for some integers $x,y$?

Find $\mathop {\lim }\limits_{n \to \infty } \,n\left( {\frac{{{1^{2022}} + {2^{2022}} + ... + {n^{2022}}}}{{{n^{2023}}}} - \frac{1}{{2023}}} \right)$

BMO2 1994 Q1 - Need Help

All natural number solutions for the equation $a^2+b^2=2c^2$

All natural number solutions to the equation $a^2+b^2=c^2+d^2=2x^2$

Trending Questions

Popular # Hahtags

Popular Questions