Question

How do I use induction to prove a claim of a recursive set definition?

score 29 · Answer 1 · 2026-04-10 13:30:27

29

Views

How do I use induction to prove a claim of a recursive set definition?

Published on 10 Apr 2026 - 13:30

score 88 · Answer 2 · 2026-04-11 21:32:47

88

Views

Proving $N_2$ is not normal subgroup of $H_2$ if $\phi$ is not surjective

Published on 11 Apr 2026 - 21:32

score 457 · Answer 3 · 2026-04-12 23:22:59

457

Views

A question regarding the Galois extension of the cyclotomic polynomial $\Phi_{15}$

Published on 12 Apr 2026 - 23:22

score 1.3k · Answer 4 · 2026-04-10 08:52:40

1.3k

Views

How to cite a theorem in the proof of another theorem?

Published on 10 Apr 2026 - 8:52

score 67 · Answer 5 · 2026-04-16 04:55:27

67

Views

Proving the uniqueness of x=sqrt(r)

Published on 16 Apr 2026 - 4:55

score 48 · Answer 6 · 2026-04-14 04:17:59

48

Views

How to prove this simple property for two sets?

Published on 14 Apr 2026 - 4:17

score 38 · Answer 7 · 2026-04-17 02:31:03

38

Views

Limit of $\sqrt[n]{n^k}$ for k $\in \mathbb{N}$ for $n \rightarrow \infty$

Published on 17 Apr 2026 - 2:31

score 64 · Answer 8 · 2026-04-17 09:34:23

64

Views

Attacking proof of a statement with the form: $(\forall x \in X): ( P_1(x) \lor P_2(x) ) \rightarrow Q$

Published on 17 Apr 2026 - 9:34

score 130 · Answer 9 · 2026-04-14 12:21:54

130

Views

For every $b$ in the power $a^{b}$, does there exist an $a$ such that the digit sum of this power is equal to $a$?

Published on 14 Apr 2026 - 12:21

score 2k · Answer 10 · 2026-04-14 19:45:10

2k

Views

Prove that $u\cdot v = \frac{1}{4}||u+v||^2 - \frac{1}{4}||u-v||^2 \forall u,v \in \mathbb{R^n}$

Published on 14 Apr 2026 - 19:45

score 645 · Answer 11 · 2026-04-16 03:38:42

645

Views

The units digit of a perfect square is 6. What are the possible values of the tens digit?

Published on 16 Apr 2026 - 3:38

score 218 · Answer 12 · 2026-04-15 04:03:50

218

Views

Showing that the simple continued fraction of $\sqrt{d}$ has period length 1 iff $d=a^2+1$

Published on 15 Apr 2026 - 4:03

score 39 · Answer 13 · 2026-04-16 06:15:18

39

Views

Prove that matrix $A = \sum_k^{n}x_k\lambda_ky_k^T$

Published on 16 Apr 2026 - 6:15

score 151 · Answer 14 · 2026-04-15 17:19:58

151

Views

Combinatorics Proof of $\sum_{i=0}^n \sum_{j=0}^{i-1} j = {n+1 \choose 3}$

Published on 15 Apr 2026 - 17:19

score 548 · Answer 15 · 2026-04-14 23:18:32

548

Views

Proof by contradiction, status of initial assumption after the proof is complete.

Published on 14 Apr 2026 - 23:18

List Question

How do I use induction to prove a claim of a recursive set definition?

Proving $N_2$ is not normal subgroup of $H_2$ if $\phi$ is not surjective

A question regarding the Galois extension of the cyclotomic polynomial $\Phi_{15}$

How to cite a theorem in the proof of another theorem?

Proving the uniqueness of x=sqrt(r)

How to prove this simple property for two sets?

Limit of $\sqrt[n]{n^k}$ for k $\in \mathbb{N}$ for $n \rightarrow \infty$

Attacking proof of a statement with the form: $(\forall x \in X): ( P_1(x) \lor P_2(x) ) \rightarrow Q$

For every $b$ in the power $a^{b}$, does there exist an $a$ such that the digit sum of this power is equal to $a$?

Prove that $u\cdot v = \frac{1}{4}||u+v||^2 - \frac{1}{4}||u-v||^2 \forall u,v \in \mathbb{R^n}$

The units digit of a perfect square is 6. What are the possible values of the tens digit?

Showing that the simple continued fraction of $\sqrt{d}$ has period length 1 iff $d=a^2+1$

Prove that matrix $A = \sum_k^{n}x_k\lambda_ky_k^T$

Combinatorics Proof of $\sum_{i=0}^n \sum_{j=0}^{i-1} j = {n+1 \choose 3}$

Proof by contradiction, status of initial assumption after the proof is complete.

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