Question

Packing Points into Region with Variable Distances

score 49 · Answer 1 · 2026-04-14 22:32:16

49

Views

Packing Points into Region with Variable Distances

Published on 14 Apr 2026 - 22:32

score 281 · Answer 2 · 2026-04-16 09:34:20

281

Views

Show that $\int_{0}^{2}\sqrt{x^2+1}\,dx$ is at least $2\sqrt{2}$ without evaluating the integral

Published on 16 Apr 2026 - 9:34

score 206 · Answer 3 · 2026-04-14 13:58:36

206

Views

Conjecture on the prime factorisation of the $\operatorname{lcm}(1,\dots,k) \pm 1$, $k \geq 2$

Published on 14 Apr 2026 - 13:58

score 141 · Answer 4 · 2026-04-14 18:18:43

141

Views

Given is a decomposition of a polynomial in a sum of cubed linear forms. Find the other decompositions!

Published on 14 Apr 2026 - 18:18

score 54 · Answer 5 · 2026-04-16 13:34:22

54

Views

Determine the location of the DVD screensaver logo at a specific time given different grid sizes.

Published on 16 Apr 2026 - 13:34

score 108 · Answer 6 · 2026-04-09 20:05:49

108

Views

how many white squares does a $2022 \times 2021$ block have?

Published on 09 Apr 2026 - 20:05

score 23 · Answer 7 · 2026-04-16 13:22:35

23

Views

For which value $a$ is the sphere $(x-2)^2+(y+1)^2+(z-2)^2\leq 10$ intersection with the plane x=a given by a cirle of area $6\pi$?

Published on 16 Apr 2026 - 13:22

score 153 · Answer 8 · 2026-04-17 00:41:04

153

Views

find positive integers $a,b,c,d,e$ so that $a,b^2,c^3,d^4,e^5$ form a nonconstant arithmetic progression

Published on 17 Apr 2026 - 0:41

score 207 · Answer 9 · 2026-04-30 07:08:20

207

Views

Patterns in the first digit of $2^n$

Published on 30 Apr 2026 - 7:08

score 95 · Answer 10 · 2026-04-16 14:03:25

95

Views

Proof or Disproof That $\sin(\pi x) = Im( (-1)^x)$

Published on 16 Apr 2026 - 14:03

score 35 · Answer 11 · 2026-04-16 15:56:55

35

Views

Any resources such as books, short courses, sites or other that I could avail myself of to improve my ability to model word problems as equations?

Published on 16 Apr 2026 - 15:56

score 74 · Answer 12 · 2026-04-14 20:15:57

74

Views

Sum of inverse tangents of the roots of a polynomial

Published on 14 Apr 2026 - 20:15

score 468 · Answer 13 · 2026-04-09 12:09:54

468

Views

Which rectangles can be tiled with L-trominos, when only two orientations are allowed?

Published on 09 Apr 2026 - 12:09

score 256 · Answer 14 · 2026-04-16 12:47:05

256

Views

How many time do we need to shuffle two decks red and blue to get back to initial colors?

Published on 16 Apr 2026 - 12:47

score 326 · Answer 15 · 2026-04-14 11:15:06

326

Views

What is the fractal dimension of the image given by a combinatorial sequence about permutation cycles?

Published on 14 Apr 2026 - 11:15

List Question

Packing Points into Region with Variable Distances

Show that $\int_{0}^{2}\sqrt{x^2+1}\,dx$ is at least $2\sqrt{2}$ without evaluating the integral

Conjecture on the prime factorisation of the $\operatorname{lcm}(1,\dots,k) \pm 1$, $k \geq 2$

Given is a decomposition of a polynomial in a sum of cubed linear forms. Find the other decompositions!

Determine the location of the DVD screensaver logo at a specific time given different grid sizes.

how many white squares does a $2022 \times 2021$ block have?

For which value $a$ is the sphere $(x-2)^2+(y+1)^2+(z-2)^2\leq 10$ intersection with the plane x=a given by a cirle of area $6\pi$?

find positive integers $a,b,c,d,e$ so that $a,b^2,c^3,d^4,e^5$ form a nonconstant arithmetic progression

Patterns in the first digit of $2^n$

Proof or Disproof That $\sin(\pi x) = Im( (-1)^x)$

Any resources such as books, short courses, sites or other that I could avail myself of to improve my ability to model word problems as equations?

Sum of inverse tangents of the roots of a polynomial

Which rectangles can be tiled with L-trominos, when only two orientations are allowed?

How many time do we need to shuffle two decks red and blue to get back to initial colors?

What is the fractal dimension of the image given by a combinatorial sequence about permutation cycles?

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