Question

Prove that if n is an odd integer, then $n^2-1$ is a multiple of 8

score 6.3k · Answer 1 · 2026-04-16 12:14:16

6.3k

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Prove that if n is an odd integer, then $n^2-1$ is a multiple of 8

Published on 16 Apr 2026 - 12:14

score 35 · Answer 2 · 2026-04-10 00:35:41

35

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Is ''some" equal to "any" in inductive hypothesis?

Published on 10 Apr 2026 - 0:35

score 287 · Answer 3 · 2026-04-13 11:37:51

287

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If $\mathbb{Z}$ satisfies the axioms for a commutative ring, then addition and multiplication are commutative in $\mathbb{Q}$

Published on 13 Apr 2026 - 11:37

score 1k · Answer 4 · 2026-04-10 21:20:57

1k

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What is the maximum of the inner product on the unit sphere?

Published on 10 Apr 2026 - 21:20

score 93 · Answer 5 · 2026-04-16 16:59:35

93

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Let $R$ be a relation defined on $A . \ R^{\left(0 \right)} = Id_{A}, R^{*} = \bigcup _{\left(n\in \mathbb{N} \right)} R^{\left(n \right)}$

Published on 16 Apr 2026 - 16:59

score 1.4k · Answer 6 · 2026-04-09 00:43:57

1.4k

Views

How to prove NOT big omega?

Published on 09 Apr 2026 - 0:43

score 161 · Answer 7 · 2026-04-10 22:48:04

161

Views

Question regarding the definition of eigenvalue and eigenvector

Published on 10 Apr 2026 - 22:48

score 182 · Answer 8 · 2026-04-10 20:08:36

182

Views

Does anyone find math proofs easy to comprehend?

Published on 10 Apr 2026 - 20:08

score 5.9k · Answer 9 · 2026-04-17 03:33:16

5.9k

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Meaning of expression : "uniquely determined"

Published on 17 Apr 2026 - 3:33

score 155 · Answer 10 · 2026-04-13 02:23:54

155

Views

Prove that,if $n$ is an integer, then $n^2 + 15n = 1$ is odd

Published on 13 Apr 2026 - 2:23

score 83 · Answer 11 · 2026-04-15 04:40:05

83

Views

Prove that for $z \in\mathbb C\setminus \{1\},\, 1 + z + z^2 +... + z^n = (1-z)^{n+1}/(1 - z)$ for $n = 1,2,3\ldots$

Published on 15 Apr 2026 - 4:40

score 25 · Answer 12 · 2026-04-11 10:27:42

25

Views

Probability theory(PDF of conditional multivariate random variables) - issues with derivation of formula.

Published on 11 Apr 2026 - 10:27

score 1k · Answer 13 · 2026-04-15 10:20:34

1k

Views

The Cardinality of $(a,b)$ and $\Bbb{R}$

Published on 15 Apr 2026 - 10:20

score 338 · Answer 14 · 2026-04-15 11:13:29

338

Views

Fibonacci Coding Inductive Proof

Published on 15 Apr 2026 - 11:13

score 441 · Answer 15 · 2026-04-11 11:37:41

441

Views

How to determine the scope of a proof?

Published on 11 Apr 2026 - 11:37

List Question

Prove that if n is an odd integer, then $n^2-1$ is a multiple of 8

Is ''some" equal to "any" in inductive hypothesis?

If $\mathbb{Z}$ satisfies the axioms for a commutative ring, then addition and multiplication are commutative in $\mathbb{Q}$

What is the maximum of the inner product on the unit sphere?

Let $R$ be a relation defined on $A . \ R^{\left(0 \right)} = Id_{A}, R^{*} = \bigcup _{\left(n\in \mathbb{N} \right)} R^{\left(n \right)}$

How to prove NOT big omega?

Question regarding the definition of eigenvalue and eigenvector

Does anyone find math proofs easy to comprehend?

Meaning of expression : "uniquely determined"

Prove that,if $n$ is an integer, then $n^2 + 15n = 1$ is odd

Prove that for $z \in\mathbb C\setminus \{1\},\, 1 + z + z^2 +... + z^n = (1-z)^{n+1}/(1 - z)$ for $n = 1,2,3\ldots$

Probability theory(PDF of conditional multivariate random variables) - issues with derivation of formula.

The Cardinality of $(a,b)$ and $\Bbb{R}$

Fibonacci Coding Inductive Proof

How to determine the scope of a proof?

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