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 138 · Answer 1 · 2026-03-24 23:45:46

138

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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 24 Mar 2026 - 23:45

score 133 · Answer 2 · 2018-02-06 08:52:47

133

Views

Find all pairs $(n,k)$

Published on 06 Feb 2018 - 8:52

score 411 · Answer 3 · 2026-03-24 23:46:13

411

Views

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

Published on 24 Mar 2026 - 23:46

score 197 · Answer 4 · 2018-02-06 14:37:01

197

Views

Inequality concerning complex numbers and their modulus properties

Published on 06 Feb 2018 - 14:37

score 527 · Answer 5 · 2018-02-06 20:53:13

527

Views

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

Published on 06 Feb 2018 - 20:53

score 124 · Answer 6 · 2018-02-07 16:22:17

124

Views

A combinatorial argument for IMO 1972, Problem 3.

Published on 07 Feb 2018 - 16:22

score 249 · Answer 7 · 2018-02-07 22:35:58

249

Views

Ways to change a cube's position?

Published on 07 Feb 2018 - 22:35

score 151 · Answer 8 · 2018-02-08 17:23:51

151

Views

Lower bound of the sum of some natural numbers

Published on 08 Feb 2018 - 17:23

score 591 · Answer 9 · 2026-03-25 01:16:59

591

Views

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

Published on 25 Mar 2026 - 1:16

score 7.8k · Answer 10 · 2018-02-09 11:44:34

7.8k

Views

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

Published on 09 Feb 2018 - 11:44

score 138 · Answer 11 · 2026-03-22 15:27:12

138

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 22 Mar 2026 - 15:27

score 351 · Answer 12 · 2018-02-10 18:27:07

351

Views

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

Published on 10 Feb 2018 - 18:27

score 543 · Answer 13 · 2026-03-11 22:37:08

543

Views

What is the logic in this number sequence?

Published on 11 Mar 2026 - 22:37

score 84 · Answer 14 · 2026-03-25 03:17:09

84

Views

Rules of 4 colored problem

Published on 25 Mar 2026 - 3:17

score 129 · Answer 15 · 2018-02-11 19:48:01

129

Views

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

Published on 11 Feb 2018 - 19:48

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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