Question

Computing the product $A_1 A_2 \cdots A_n$ with $A_n =\left(\displaystyle\begin{smallmatrix} n^2&1\\-1&n^2\end{smallmatrix}\right)$

score 140 · Answer 1 · 2026-04-16 22:36:13

140

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Computing the product $A_1 A_2 \cdots A_n$ with $A_n =\left(\displaystyle\begin{smallmatrix} n^2&1\\-1&n^2\end{smallmatrix}\right)$

Published on 16 Apr 2026 - 22:36

score 138 · Answer 2 · 2026-04-17 12:24:16

138

Views

Find all pairs $(n,k)$

Published on 17 Apr 2026 - 12:24

score 415 · Answer 3 · 2026-05-10 12:38:28

415

Views

What is the value of $f(100)$?

Published on 10 May 2026 - 12:38

score 200 · Answer 4 · 2026-04-11 23:05:11

200

Views

Inequality concerning complex numbers and their modulus properties

Published on 11 Apr 2026 - 23:05

score 530 · Answer 5 · 2026-04-12 04:42:43

530

Views

What is the largest possible number of moves that can be taken to color the whole grid?

Published on 12 Apr 2026 - 4:42

score 127 · Answer 6 · 2026-04-14 11:43:55

127

Views

A combinatorial argument for IMO 1972, Problem 3.

Published on 14 Apr 2026 - 11:43

score 253 · Answer 7 · 2026-04-15 18:12:43

253

Views

Ways to change a cube's position?

Published on 15 Apr 2026 - 18:12

score 154 · Answer 8 · 2026-04-13 21:54:53

154

Views

Lower bound of the sum of some natural numbers

Published on 13 Apr 2026 - 21:54

score 594 · Answer 9 · 2026-05-10 12:33:15

594

Views

Prove that $x^x+y^y=z^z$ doesn't have integer solutions

Published on 10 May 2026 - 12:33

score 7.8k · Answer 10 · 2026-04-16 01:26:39

7.8k

Views

Find $xy+yz+zx$ given systems of three homogenous quadratic equations for $x, y, z$

Published on 16 Apr 2026 - 1:26

score 142 · Answer 11 · 2026-04-20 06:11:54

142

Views

Proving $\frac{B_1B_2}{A_1A_3}+ \frac{B_2B_3}{A_2A_4}+...+\frac{B_nB_1}{A_nA_2}>1$

Published on 20 Apr 2026 - 6:11

score 354 · Answer 12 · 2026-04-13 23:36:58

354

Views

Consider an $n\times n$ grid which is made up of $n^2$ unit squares and $2n(n+1)$ edges.

Published on 13 Apr 2026 - 23:36

score 550 · Answer 13 · 2026-04-29 12:31:20

550

Views

What is the logic in this number sequence?

Published on 29 Apr 2026 - 12:31

score 88 · Answer 14 · 2026-04-10 16:59:34

88

Views

Rules of 4 colored problem

Published on 10 Apr 2026 - 16:59

score 133 · Answer 15 · 2026-05-10 12:35:41

133

Views

Find all the solutions $\in \Bbb R^+$ that satisfy $x(6-y)=9$, $y(6-z)=9$, $z(6-x)=9$

Published on 10 May 2026 - 12:35

List Question

Computing the product $A_1 A_2 \cdots A_n$ with $A_n =\left(\displaystyle\begin{smallmatrix} n^2&1\\-1&n^2\end{smallmatrix}\right)$

Find all pairs $(n,k)$

What is the value of $f(100)$?

Inequality concerning complex numbers and their modulus properties

What is the largest possible number of moves that can be taken to color the whole grid?

A combinatorial argument for IMO 1972, Problem 3.

Ways to change a cube's position?

Lower bound of the sum of some natural numbers

Prove that $x^x+y^y=z^z$ doesn't have integer solutions

Find $xy+yz+zx$ given systems of three homogenous quadratic equations for $x, y, z$

Proving $\frac{B_1B_2}{A_1A_3}+ \frac{B_2B_3}{A_2A_4}+...+\frac{B_nB_1}{A_nA_2}>1$

Consider an $n\times n$ grid which is made up of $n^2$ unit squares and $2n(n+1)$ edges.

What is the logic in this number sequence?

Rules of 4 colored problem

Find all the solutions $\in \Bbb R^+$ that satisfy $x(6-y)=9$, $y(6-z)=9$, $z(6-x)=9$

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