Question

Prove $n=m^3-3m^2+2m$, for any integer $m$, then $n$ is a multiple of $6$.

score 1.1k · Answer 1 · 2026-04-16 14:26:43

1.1k

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Prove $n=m^3-3m^2+2m$, for any integer $m$, then $n$ is a multiple of $6$.

Published on 16 Apr 2026 - 14:26

score 51 · Answer 2 · 2026-04-16 14:31:28

51

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Prove that, for all $n\in{Z}$, if $3\mid{n}$ or $18\mid{n-7}$, then there exists $m\in{Z}$ such that $(n^2-9m)(n-9m+2)=0$.

Published on 16 Apr 2026 - 14:31

score 148 · Answer 3 · 2026-04-15 22:23:48

148

Views

If $f$ is integrable and and $g=f$ except at fintely many points. Prove that $g$ is integrable

Published on 15 Apr 2026 - 22:23

score 33 · Answer 4 · 2026-04-16 11:02:40

33

Views

Proving $(A\times B)'\supset A'\times B'$

Published on 16 Apr 2026 - 11:02

score 860 · Answer 5 · 2026-04-09 07:24:40

860

Views

Writing a proof

Published on 09 Apr 2026 - 7:24

score 37 · Answer 6 · 2026-04-17 10:22:01

37

Views

Proving $\mathbb{R}^n$ bounded implies $-M\leqslant x_i\leqslant M$

Published on 17 Apr 2026 - 10:22

score 80 · Answer 7 · 2026-04-17 14:07:16

80

Views

$(X_1,\tau_1)\times(X_2,\tau_2)\cong (X_2,\tau_2)\times(X_1,\tau_1) $

Published on 17 Apr 2026 - 14:07

score 57 · Answer 8 · 2026-04-13 13:56:00

57

Views

determine if the statement with limit is true

Published on 13 Apr 2026 - 13:56

score 92 · Answer 9 · 2026-04-12 18:09:31

92

Views

When is something considered to be a mathematical proof?

Published on 12 Apr 2026 - 18:09

score 95 · Answer 10 · 2026-04-16 12:23:08

95

Views

For $n$ by $n$ matrix A, prove if dimension of row space > $n/2$, then $A^2 \ne 0$

Published on 16 Apr 2026 - 12:23

score 73 · Answer 11 · 2026-04-11 12:03:25

73

Views

Is my proof that this limit does not exist correct?

Published on 11 Apr 2026 - 12:03

score 398 · Answer 12 · 2026-04-10 03:31:03

398

Views

Fourier expansion of periodic signal proof

Published on 10 Apr 2026 - 3:31

score 67 · Answer 13 · 2026-04-10 04:45:09

67

Views

FTC in Integral Equation

Published on 10 Apr 2026 - 4:45

score 338 · Answer 14 · 2026-04-16 07:25:06

338

Views

Proof $\sum_{k=0}^\infty \binom{k}{n-k} = f_{n+1}$ where $f_n$ is the n-th Fibonacci-number

Published on 16 Apr 2026 - 7:25

score 80 · Answer 15 · 2026-04-09 11:06:25

80

Views

Complex analysis proof triangle inequality:

Published on 09 Apr 2026 - 11:06

List Question

Prove $n=m^3-3m^2+2m$, for any integer $m$, then $n$ is a multiple of $6$.

Prove that, for all $n\in{Z}$, if $3\mid{n}$ or $18\mid{n-7}$, then there exists $m\in{Z}$ such that $(n^2-9m)(n-9m+2)=0$.

If $f$ is integrable and and $g=f$ except at fintely many points. Prove that $g$ is integrable

Proving $(A\times B)'\supset A'\times B'$

Writing a proof

Proving $\mathbb{R}^n$ bounded implies $-M\leqslant x_i\leqslant M$

$(X_1,\tau_1)\times(X_2,\tau_2)\cong (X_2,\tau_2)\times(X_1,\tau_1) $

determine if the statement with limit is true

When is something considered to be a mathematical proof?

For $n$ by $n$ matrix A, prove if dimension of row space > $n/2$, then $A^2 \ne 0$

Is my proof that this limit does not exist correct?

Fourier expansion of periodic signal proof

FTC in Integral Equation

Proof $\sum_{k=0}^\infty \binom{k}{n-k} = f_{n+1}$ where $f_n$ is the n-th Fibonacci-number

Complex analysis proof triangle inequality:

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