Question

Showing that $H\leq S_n$ containing rotations must be isomorphic to $D_n$

score 176 · Answer 1 · 2026-04-14 06:07:52

176

Views

Showing that $H\leq S_n$ containing rotations must be isomorphic to $D_n$

Published on 14 Apr 2026 - 6:07

score 327 · Answer 2 · 2026-04-14 22:55:47

327

Views

Prove that minimizing the variance is equal to minimize the pairwise distance

Published on 14 Apr 2026 - 22:55

score 146 · Answer 3 · 2026-04-10 06:53:26

146

Views

Am I correct in my understanding of the importance of homotopy in my proof?

Published on 10 Apr 2026 - 6:53

score 55 · Answer 4 · 2026-04-11 11:36:16

55

Views

Polynomials with equal minima and maxima

Published on 11 Apr 2026 - 11:36

score 37 · Answer 5 · 2026-04-14 21:59:45

37

Views

Let A be a set, totally ordered under relation ≤. Let x ∈ A. Then x is a maximal element of A if and only if x is the greatest element of A.

Published on 14 Apr 2026 - 21:59

score 54 · Answer 6 · 2026-04-09 12:17:38

54

Views

Proof involving non-existent limits

Published on 09 Apr 2026 - 12:17

score 58 · Answer 7 · 2026-04-13 17:27:56

58

Views

Can you build blocks with cube? inductive proof

Published on 13 Apr 2026 - 17:27

score 747 · Answer 8 · 2026-04-17 03:50:14

747

Views

Proving the limit of a sequence of functions must be polynomial.

Published on 17 Apr 2026 - 3:50

score 167 · Answer 9 · 2026-04-12 23:48:21

167

Views

Proving that a subset of polynomials is an ideal

Published on 12 Apr 2026 - 23:48

score 1.7k · Answer 10 · 2026-04-17 00:08:59

1.7k

Views

IMO 2017: Determine all functions $f: \mathbb{R} \to\mathbb{R}$ such that, for all real numbers $x$ and $y$, $f(f(x)f(y)) + f(x +y) = f(xy)$.

Published on 17 Apr 2026 - 0:08

score 1.5k · Answer 11 · 2026-04-12 22:13:09

1.5k

Views

Pigeonhole Principle Issue five integers where their sum or difference is divisible by seven.

Published on 12 Apr 2026 - 22:13

score 53 · Answer 12 · 2026-04-16 08:41:48

53

Views

Finding $g(x)$ such that $\lim_{x\to 0} g(x)$ DNE, but $\lim_{x\to 0}f(x)g(x)$ exists.

Published on 16 Apr 2026 - 8:41

score 138 · Answer 13 · 2026-04-16 03:10:08

138

Views

Show that if $f_{n}$ $\in$ $L^2(a,b)$ and $f_{n} \to f$ in norm, then $(f_{n}, g) \to (f,g)$ for all $g \in L^2(a,b)$.

Published on 16 Apr 2026 - 3:10

score 219 · Answer 14 · 2026-04-15 22:26:32

219

Views

If $\lim_{x\to 0}|f(x)|=\infty$ and $\lim_{x\to 0}g(x)$ DNE, show $\lim_{x\to 0}f(x)g(x)$ DNE

Published on 15 Apr 2026 - 22:26

score 208 · Answer 15 · 2026-04-15 14:21:40

208

Views

Proving $T_0$ is a topological property

Published on 15 Apr 2026 - 14:21

List Question

Showing that $H\leq S_n$ containing rotations must be isomorphic to $D_n$

Prove that minimizing the variance is equal to minimize the pairwise distance

Am I correct in my understanding of the importance of homotopy in my proof?

Polynomials with equal minima and maxima

Let A be a set, totally ordered under relation ≤. Let x ∈ A. Then x is a maximal element of A if and only if x is the greatest element of A.

Proof involving non-existent limits

Can you build blocks with cube? inductive proof

Proving the limit of a sequence of functions must be polynomial.

Proving that a subset of polynomials is an ideal

IMO 2017: Determine all functions $f: \mathbb{R} \to\mathbb{R}$ such that, for all real numbers $x$ and $y$, $f(f(x)f(y)) + f(x +y) = f(xy)$.

Pigeonhole Principle Issue five integers where their sum or difference is divisible by seven.

Finding $g(x)$ such that $\lim_{x\to 0} g(x)$ DNE, but $\lim_{x\to 0}f(x)g(x)$ exists.

Show that if $f_{n}$ $\in$ $L^2(a,b)$ and $f_{n} \to f$ in norm, then $(f_{n}, g) \to (f,g)$ for all $g \in L^2(a,b)$.

If $\lim_{x\to 0}|f(x)|=\infty$ and $\lim_{x\to 0}g(x)$ DNE, show $\lim_{x\to 0}f(x)g(x)$ DNE

Proving $T_0$ is a topological property

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