Question

How to prove $\frac{m(r_1 + r_2 + \cdots + r_m - 1)!}{r_1! r_2! \cdots r_m!}$ is an integer?

score 71 · Answer 1 · 2026-03-27 04:18:43

71

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How to prove $\frac{m(r_1 + r_2 + \cdots + r_m - 1)!}{r_1! r_2! \cdots r_m!}$ is an integer?

Published on 27 Mar 2026 - 4:18

score 106 · Answer 2 · 2026-03-25 09:36:37

106

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Prove there are 4 integer roots on $x^2+y^2=2^n$

Published on 25 Mar 2026 - 9:36

score 183 · Answer 3 · 2026-03-25 19:05:37

183

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Quotienting by kernel of a monoid homomorphism in the integers.

Published on 25 Mar 2026 - 19:05

score 178 · Answer 4 · 2019-12-25 15:55:57

178

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Find the nearest value in multiplication table

Published on 25 Dec 2019 - 15:55

score 90 · Answer 5 · 2026-03-25 22:04:42

90

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Formula for $M_{p^k} = \{ x \in \Bbb{Z} : x^2 = 1 \pmod {p^k}\}$?

Published on 25 Mar 2026 - 22:04

score 770 · Answer 6 · 2026-03-26 14:29:02

770

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Notation for set of integers in a range

Published on 26 Mar 2026 - 14:29

score 36 · Answer 7 · 2019-12-29 11:25:43

36

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Is there a connection between the integer part [x] of a sum and the limit?

Published on 29 Dec 2019 - 11:25

score 11 · Answer 8 · 2026-02-26 17:10:33

11

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multivariable scalar integer injections

Published on 26 Feb 2026 - 17:10

score 50 · Answer 9 · 2026-03-28 07:59:32

50

Views

Implications of representative of $p$-adic factor $g$ of $f$ dividing $f$ in $\mathbb{Z}[X]$

Published on 28 Mar 2026 - 7:59

score 141 · Answer 10 · 2019-12-31 16:01:23

141

Views

Finding shortcuts in solving Diophantine equation

Published on 31 Dec 2019 - 16:01

score 57 · Answer 11 · 2026-03-25 21:31:29

57

Views

proving $\big \lfloor xn-\frac 1n \big\rfloor\neq \big\lfloor xn+\frac 1n\big\rfloor$

Published on 25 Mar 2026 - 21:31

score 231 · Answer 12 · 2026-03-26 08:02:28

If n approaches infinity, will the descending numbers in n number system divided by the ascending numbers of n number system be closer to an integer?

score 2.3k · Answer 13 · 2020-01-04 10:27:23

2.3k

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How could we calculate the final weight, knowing the initial and final water percentage, and initial weight‽??

Published on 04 Jan 2020 - 10:27

score 298 · Answer 14 · 2020-01-04 20:23:05

298

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Which integer is closest to the difference?

Published on 04 Jan 2020 - 20:23

score 916 · Answer 15 · 2020-01-08 13:21:43

916

Views

Difference between $\mathbb{Z}^+$ and $\mathbb{N}^+$

Published on 08 Jan 2020 - 13:21

List Question

How to prove $\frac{m(r_1 + r_2 + \cdots + r_m - 1)!}{r_1! r_2! \cdots r_m!}$ is an integer?

Prove there are 4 integer roots on $x^2+y^2=2^n$

Quotienting by kernel of a monoid homomorphism in the integers.

Find the nearest value in multiplication table

Formula for $M_{p^k} = \{ x \in \Bbb{Z} : x^2 = 1 \pmod {p^k}\}$?

Notation for set of integers in a range

Is there a connection between the integer part [x] of a sum and the limit?

multivariable scalar integer injections

Implications of representative of $p$-adic factor $g$ of $f$ dividing $f$ in $\mathbb{Z}[X]$

Finding shortcuts in solving Diophantine equation

proving $\big \lfloor xn-\frac 1n \big\rfloor\neq \big\lfloor xn+\frac 1n\big\rfloor$

If n approaches infinity, will the descending numbers in n number system divided by the ascending numbers of n number system be closer to an integer?

How could we calculate the final weight, knowing the initial and final water percentage, and initial weight‽??

Which integer is closest to the difference?

Difference between $\mathbb{Z}^+$ and $\mathbb{N}^+$

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