Question

How can the domains of all variables of this hyperoperation function be extended to the entire complex plane?

score 126 · Answer 1 · 2026-03-25 13:56:58

126

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How can the domains of all variables of this hyperoperation function be extended to the entire complex plane?

Published on 25 Mar 2026 - 13:56

score 202 · Answer 2 · 2026-03-30 04:58:43

202

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Proof of $\inf\left \{ \frac{\mathrm{d} (n^2)}{\mathrm{d} (n)} \; \bigg| \; n \in \mathbb{N} \right \}=0$, where $d(n)$ is the sum of digits of $n$

Published on 30 Mar 2026 - 4:58

score 124 · Answer 3 · 2023-05-31 00:46:35

124

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Proof that the area of a parallelogram is the product of any two adjacent sides and the sine of the angle between them.

Published on 31 May 2023 - 0:46

score 607 · Answer 4 · 2023-05-31 02:33:41

607

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Australian Mathematics Competition 2022 Junior Level Question 25

Published on 31 May 2023 - 2:33

score 108 · Answer 5 · 2023-05-31 15:57:18

108

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Coloring the faces of n^3 unit cubes s.t., for each color j between 1 and n, the cubes can be arranged to form nxnxn cube with j-colored outer faces

Published on 31 May 2023 - 15:57

score 1.7k · Answer 6 · 2026-03-25 06:09:16

1.7k

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Optimizing Cookie Clicker garden mutation layout

Published on 25 Mar 2026 - 6:09

score 162 · Answer 7 · 2023-06-01 22:15:42

162

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Maximum possible number of 1012-element subsets of {1,2,...,2024} such that no three intersect at more than one element

Published on 01 Jun 2023 - 22:15

score 216 · Answer 8 · 2023-06-03 12:25:31

216

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Solving the infinite sum $\sum_{n=-\infty}^{\infty}\int_{2n\pi}^{\left(2n+1\right)\pi}\tan^{-1}\left(\frac{\ln\left(\sin x\right)}{x^{2}}\right)dx$

Published on 03 Jun 2023 - 12:25

score 513 · Answer 9 · 2026-04-07 22:59:20

513

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find infinitely many (or all) positive integers n so that n and rev(n) are perfect squares

Published on 07 Apr 2026 - 22:59

score 130 · Answer 10 · 2026-03-29 08:20:55

130

Views

A very interesting integral: $\int\limits^{2}_{1}\sqrt{x-\sqrt{x!-\sqrt{(x!)!-\sqrt{((x!)!)!-\dots}}}}dx$

Published on 29 Mar 2026 - 8:20

score 383 · Answer 11 · 2023-06-06 14:01:18

383

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Why doesn't math introduce an axiom $0÷0=0$ as a means to claim the multiplication by $0$ is irreversible?

Published on 06 Jun 2023 - 14:01

score 324 · Answer 12 · 2026-04-09 07:30:13

324

Views

How to think and deduce optimal strategy move for both Alice and Bob

Published on 09 Apr 2026 - 7:30

score 73 · Answer 13 · 2023-06-10 12:32:03

73

Views

How many good distributions of coins are there?

Published on 10 Jun 2023 - 12:32

score 56 · Answer 14 · 2026-04-09 19:43:37

56

Views

Showing that the strategy of picking the adjacent numbers from last leads to minimum value at last

Published on 09 Apr 2026 - 19:43

score 102 · Answer 15 · 2026-03-26 22:26:09

102

Views

Find the number of subsets of n chairs in a circle containing at least three adjacent chairs

Published on 26 Mar 2026 - 22:26

List Question

How can the domains of all variables of this hyperoperation function be extended to the entire complex plane?

Proof of $\inf\left \{ \frac{\mathrm{d} (n^2)}{\mathrm{d} (n)} \; \bigg| \; n \in \mathbb{N} \right \}=0$, where $d(n)$ is the sum of digits of $n$

Proof that the area of a parallelogram is the product of any two adjacent sides and the sine of the angle between them.

Australian Mathematics Competition 2022 Junior Level Question 25

Coloring the faces of n^3 unit cubes s.t., for each color j between 1 and n, the cubes can be arranged to form nxnxn cube with j-colored outer faces

Optimizing Cookie Clicker garden mutation layout

Maximum possible number of 1012-element subsets of {1,2,...,2024} such that no three intersect at more than one element

Solving the infinite sum $\sum_{n=-\infty}^{\infty}\int_{2n\pi}^{\left(2n+1\right)\pi}\tan^{-1}\left(\frac{\ln\left(\sin x\right)}{x^{2}}\right)dx$

find infinitely many (or all) positive integers n so that n and rev(n) are perfect squares

A very interesting integral: $\int\limits^{2}_{1}\sqrt{x-\sqrt{x!-\sqrt{(x!)!-\sqrt{((x!)!)!-\dots}}}}dx$

Why doesn't math introduce an axiom $0÷0=0$ as a means to claim the multiplication by $0$ is irreversible?

How to think and deduce optimal strategy move for both Alice and Bob

How many good distributions of coins are there?

Showing that the strategy of picking the adjacent numbers from last leads to minimum value at last

Find the number of subsets of n chairs in a circle containing at least three adjacent chairs

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