Question

How to prove that the difference between two consecutive squares is odd?

score 1.1k · Answer 1 · 2020-02-04 23:00:51

1.1k

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How to prove that the difference between two consecutive squares is odd?

Published on 04 Feb 2020 - 23:00

score 1.2k · Answer 2 · 2020-02-04 23:20:55

1.2k

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Proving that if $n^4$ is odd then $n$ is odd by contradiction

Published on 04 Feb 2020 - 23:20

score 511 · Answer 3 · 2020-02-04 23:38:55

511

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Show that the collection of cylinders form an algebra.

Published on 04 Feb 2020 - 23:38

score 887 · Answer 4 · 2020-02-05 02:05:22

887

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(Basic properties of order for natural numbers) Proofs

Published on 05 Feb 2020 - 2:05

score 84 · Answer 5 · 2026-04-02 12:30:46

84

Views

If $H,K$ are subgroups of $G$ s.t. $o(H), o(K)$ are relativily prime $\implies H \cap K = \{ e \}$.

Published on 02 Apr 2026 - 12:30

score 40 · Answer 6 · 2020-02-05 05:10:43

40

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Disprove Division Statement

Published on 05 Feb 2020 - 5:10

score 101 · Answer 7 · 2020-02-05 06:26:36

101

Views

Simple proof that $i \neq 0$

Published on 05 Feb 2020 - 6:26

score 217 · Answer 8 · 2026-02-23 06:38:05

217

Views

Union of a sequence of increasing CW-complexes and Retract

Published on 23 Feb 2026 - 6:38

score 186 · Answer 9 · 2026-03-31 11:23:46

186

Views

Prove $a^2 = b^2$ implies that $|a| = |b|$

Published on 31 Mar 2026 - 11:23

score 716 · Answer 10 · 2020-02-05 09:21:26

716

Views

Injective chain map need not induce injective map on homology

Published on 05 Feb 2020 - 9:21

score 1.1k · Answer 11 · 2020-02-05 09:30:54

1.1k

Views

How to show that $f(x,y)=x+y$ and $g(x,y)=xy$ are continuous functions?

Published on 05 Feb 2020 - 9:30

score 136 · Answer 12 · 2020-02-05 14:28:59

136

Views

Computation of: $\lim_{n\to\infty}\left(\ln\left(1+\frac{1}{n^2+1}\right)^n+\ldots+\ln\left(1+\frac{1}{n^2+n}\right)^n\right)$

Published on 05 Feb 2020 - 14:28

score 54 · Answer 13 · 2020-02-05 15:36:15

54

Views

$ v(\omega) : = \inf \{ n \geq 2 : \omega \in A_n \} $ , proving that $v$ is a random variable

Published on 05 Feb 2020 - 15:36

score 157 · Answer 14 · 2020-02-05 18:32:14

157

Views

Proof that there are countably many polynomials of degree $n$ with integer coefficients

Published on 05 Feb 2020 - 18:32

score 891 · Answer 15 · 2026-03-26 22:58:44

891

Views

If $g$ and $g\circ f$ are continuous function, then $f$ is a continuous function?

Published on 26 Mar 2026 - 22:58

List Question

How to prove that the difference between two consecutive squares is odd?

Proving that if $n^4$ is odd then $n$ is odd by contradiction

Show that the collection of cylinders form an algebra.

(Basic properties of order for natural numbers) Proofs

If $H,K$ are subgroups of $G$ s.t. $o(H), o(K)$ are relativily prime $\implies H \cap K = \{ e \}$.

Disprove Division Statement

Simple proof that $i \neq 0$

Union of a sequence of increasing CW-complexes and Retract

Prove $a^2 = b^2$ implies that $|a| = |b|$

Injective chain map need not induce injective map on homology

How to show that $f(x,y)=x+y$ and $g(x,y)=xy$ are continuous functions?

Computation of: $\lim_{n\to\infty}\left(\ln\left(1+\frac{1}{n^2+1}\right)^n+\ldots+\ln\left(1+\frac{1}{n^2+n}\right)^n\right)$

$ v(\omega) : = \inf \{ n \geq 2 : \omega \in A_n \} $ , proving that $v$ is a random variable

Proof that there are countably many polynomials of degree $n$ with integer coefficients

If $g$ and $g\circ f$ are continuous function, then $f$ is a continuous function?

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