A rectangle P is divided into smaller rectangles by segments parallel to its sides. We call a point a t-point if its a vertex of two small rectangles.

score 44 · Answer 11 · 2021-04-06 13:02:05

44

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(notation question) what does $k//2$ means as in $\tilde{x}=\sum(-1)^{k // 2} x_{k}$?

Published on 06 Apr 2021 - 13:02

score 217 · Answer 12 · 2021-04-08 10:02:39

217

Views

Direct Proof of "If $5x^2+8$ is odd then $x$ is odd"

Published on 08 Apr 2021 - 10:02

score 119 · Answer 13 · 2021-04-20 01:29:18

119

Views

The Sierpiński triangle and the number of $(0,1)$-polynomials $p(x)$ where $p(x)^2$ has largest coefficient $k$.

Published on 20 Apr 2021 - 1:29

score 144 · Answer 14 · 2021-04-26 18:24:36

144

Views

Rearranging a $10 \times 10$ matrix of naturals $1\le n\le 100$ s.t. the sum of every two neighbouring numbers is composite in max. 35 steps

Published on 26 Apr 2021 - 18:24

score 195 · Answer 15 · 2021-05-16 20:02:25

195

Views

Using parity properties to evaluate the inner product of spherical harmonics

Published on 16 May 2021 - 20:02

List Question

Review of parity of integers acquaintances proof from "Permutations and the 15-Puzzle" by Peter Trapa (2004)

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A rectangle P is divided into smaller rectangles by segments parallel to its sides. We call a point a t-point if its a vertex of two small rectangles.

(notation question) what does $k//2$ means as in $\tilde{x}=\sum(-1)^{k // 2} x_{k}$?

Direct Proof of "If $5x^2+8$ is odd then $x$ is odd"

The Sierpiński triangle and the number of $(0,1)$-polynomials $p(x)$ where $p(x)^2$ has largest coefficient $k$.

Rearranging a $10 \times 10$ matrix of naturals $1\le n\le 100$ s.t. the sum of every two neighbouring numbers is composite in max. 35 steps

Using parity properties to evaluate the inner product of spherical harmonics

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