Question

Prove that for every integer $n$, $n^3$mod$6$=$n$mod$6$

score 481 · Answer 1 · 2026-04-24 23:45:53

481

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Prove that for every integer $n$, $n^3$mod$6$=$n$mod$6$

Published on 24 Apr 2026 - 23:45

score 453 · Answer 2 · 2026-04-15 19:10:35

453

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Proving that the set of all finite subsets of a countable set is coutable

Published on 15 Apr 2026 - 19:10

score 60 · Answer 3 · 2026-04-16 01:59:06

60

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Evaluate: $\lim_{n\to\infty}\frac{\sum_{k=1}^n\lfloor kx\rfloor}{n^2}$

Published on 16 Apr 2026 - 1:59

score 110 · Answer 4 · 2026-04-17 01:22:22

110

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Prove that $\lim_{n\to \infty} a_n=\frac{\sqrt{5}-1}{2}$ if $a_{n+1}=\sqrt{1-a_n}$ and $0<a_0<1$.

Published on 17 Apr 2026 - 1:22

score 975 · Answer 5 · 2026-04-11 04:10:48

975

Views

Proof of the continuity of composite functions in metric spaces.

Published on 11 Apr 2026 - 4:10

score 1k · Answer 6 · 2026-04-10 04:08:52

1k

Views

How to prove that a sequence is Cauchy

Published on 10 Apr 2026 - 4:08

score 99 · Answer 7 · 2026-04-16 11:07:13

99

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Vector Congruence (Beachy & Blair 2.2 - Equivalence Classes) proofs

Published on 16 Apr 2026 - 11:07

score 405 · Answer 8 · 2026-04-16 08:22:50

405

Views

If $ax+by+cz = 0$, show that $span(x,y)=span(y,z)$

Published on 16 Apr 2026 - 8:22

score 68 · Answer 9 · 2026-04-12 03:04:47

68

Views

Is this proof sufficient?

Published on 12 Apr 2026 - 3:04

score 71 · Answer 10 · 2026-04-16 23:23:57

71

Views

Proving that If $\overline K \trianglelefteq \overline G$ , then $\phi^{-1}(\overline K)=\{k\in G: \phi(k)\in\overline K\}\trianglelefteq G$.

Published on 16 Apr 2026 - 23:23

score 52 · Answer 11 · 2026-04-15 03:38:52

52

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Do theorems concerning isomorphisms that apply to Vector spaces also apply to subspaces?

Published on 15 Apr 2026 - 3:38

score 72 · Answer 12 · 2026-04-09 07:40:40

72

Views

Is this proof valid?

Published on 09 Apr 2026 - 7:40

score 103 · Answer 13 · 2026-04-15 20:03:33

103

Views

Is $b=[-1,0,2]^T$ the column space of $A=\left[\begin{smallmatrix}1&1&2\\1&0&1\\2&1&3\end{smallmatrix}\right]$?

Published on 15 Apr 2026 - 20:03

score 714 · Answer 14 · 2026-04-15 08:54:11

714

Views

How do we prove the finite subadditivity property of the elementary measure?

Published on 15 Apr 2026 - 8:54

score 87 · Answer 15 · 2026-04-17 15:14:05

87

Views

Find the basis for column space $A=\left[\begin{smallmatrix}1&-1&3\cr 5&-4&-4\cr 7&-6&2\end{smallmatrix}\right]$

Published on 17 Apr 2026 - 15:14

List Question

Prove that for every integer $n$, $n^3$mod$6$=$n$mod$6$

Proving that the set of all finite subsets of a countable set is coutable

Evaluate: $\lim_{n\to\infty}\frac{\sum_{k=1}^n\lfloor kx\rfloor}{n^2}$

Prove that $\lim_{n\to \infty} a_n=\frac{\sqrt{5}-1}{2}$ if $a_{n+1}=\sqrt{1-a_n}$ and $0<a_0<1$.

Proof of the continuity of composite functions in metric spaces.

How to prove that a sequence is Cauchy

Vector Congruence (Beachy & Blair 2.2 - Equivalence Classes) proofs

If $ax+by+cz = 0$, show that $span(x,y)=span(y,z)$

Is this proof sufficient?

Proving that If $\overline K \trianglelefteq \overline G$ , then $\phi^{-1}(\overline K)=\{k\in G: \phi(k)\in\overline K\}\trianglelefteq G$.

Do theorems concerning isomorphisms that apply to Vector spaces also apply to subspaces?

Is this proof valid?

Is $b=[-1,0,2]^T$ the column space of $A=\left[\begin{smallmatrix}1&1&2\\1&0&1\\2&1&3\end{smallmatrix}\right]$?

How do we prove the finite subadditivity property of the elementary measure?

Find the basis for column space $A=\left[\begin{smallmatrix}1&-1&3\cr 5&-4&-4\cr 7&-6&2\end{smallmatrix}\right]$

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