Question

Putnam and Beyond: Problem 87 (Matrices and algebra)

score 149 · Answer 1 · 2026-03-27 05:36:25

149

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Putnam and Beyond: Problem 87 (Matrices and algebra)

Published on 27 Mar 2026 - 5:36

score 1k · Answer 2 · 2018-08-09 19:09:29

1k

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Show that each connected component of a topological space $X$ is connected.

Published on 09 Aug 2018 - 19:09

score 178 · Answer 3 · 2018-08-09 23:12:17

178

Views

Implicit function theorem hyperplane

Published on 09 Aug 2018 - 23:12

score 79 · Answer 4 · 2026-03-29 02:29:05

79

Views

Using P(X=n) in normal distribution questions.

Published on 29 Mar 2026 - 2:29

score 201 · Answer 5 · 2026-03-25 17:44:41

201

Views

Does my rearrangement of the sequence to prove that - any $n\in\mathbb N$ can be written as the sum of Fibonacci numbers - look fine?

Published on 25 Mar 2026 - 17:44

score 419 · Answer 6 · 2026-03-28 20:58:30

419

Views

Non-trivial natural endomorphisms on $\operatorname{Top}$

Published on 28 Mar 2026 - 20:58

score 128 · Answer 7 · 2026-03-26 17:37:31

128

Views

Showing that $\lim_{n \rightarrow \infty} \prod_{k=m} (z + N_{k}) \rightarrow h(z)$ uniformly on compact subsets of $\mathbb{C}$?

Published on 26 Mar 2026 - 17:37

score 76 · Answer 8 · 2018-08-10 13:03:31

If $f:\mathbb R\to \mathbb R$ a differentiable function s.t. $f'(x)\neq 0$ for all $x$ and $f^{-1}$ continuous, then $f^{-1}$ is differentiable.

score 45 · Answer 9 · 2026-03-26 13:01:43

45

Views

Belongs or not?

Published on 26 Mar 2026 - 13:01

score 97 · Answer 10 · 2026-03-25 17:40:14

97

Views

Path component of a topological space containing $x_0$ contains all the loops based at $x_0$.

Published on 25 Mar 2026 - 17:40

score 1.6k · Answer 11 · 2026-04-05 23:47:41

1.6k

Views

Show that if $a_n > 0$ and $lim(na_n) = l$ with $l \not= 0$, then the series $\sum a_n$ diverges

Published on 05 Apr 2026 - 23:47

score 2.7k · Answer 12 · 2018-08-11 13:28:08

2.7k

Views

Proof of convergence for reciprocal of convergent sequence

Published on 11 Aug 2018 - 13:28

score 436 · Answer 13 · 2026-03-25 07:42:37

436

Views

How many distinct composition series does the group $D_{12}$ have?

Published on 25 Mar 2026 - 7:42

score 90 · Answer 14 · 2018-08-11 20:46:32

90

Views

Showing that $\oint_{\partial D(0,1)} \prod_{j}^{n}(z-a_{j}) \overline z^{j} dz = 0$?

Published on 11 Aug 2018 - 20:46

score 72 · Answer 15 · 2026-04-06 14:19:33

72

Views

Is the union of non-standard analogs of a family of sets a proper subset of the non-standard analog of the union of those sets?

Published on 06 Apr 2026 - 14:19

List Question

Putnam and Beyond: Problem 87 (Matrices and algebra)

Show that each connected component of a topological space $X$ is connected.

Implicit function theorem hyperplane

Using P(X=n) in normal distribution questions.

Does my rearrangement of the sequence to prove that - any $n\in\mathbb N$ can be written as the sum of Fibonacci numbers - look fine?

Non-trivial natural endomorphisms on $\operatorname{Top}$

Showing that $\lim_{n \rightarrow \infty} \prod_{k=m} (z + N_{k}) \rightarrow h(z)$ uniformly on compact subsets of $\mathbb{C}$?

If $f:\mathbb R\to \mathbb R$ a differentiable function s.t. $f'(x)\neq 0$ for all $x$ and $f^{-1}$ continuous, then $f^{-1}$ is differentiable.

Belongs or not?

Path component of a topological space containing $x_0$ contains all the loops based at $x_0$.

Show that if $a_n > 0$ and $lim(na_n) = l$ with $l \not= 0$, then the series $\sum a_n$ diverges

Proof of convergence for reciprocal of convergent sequence

How many distinct composition series does the group $D_{12}$ have?

Showing that $\oint_{\partial D(0,1)} \prod_{j}^{n}(z-a_{j}) \overline z^{j} dz = 0$?

Is the union of non-standard analogs of a family of sets a proper subset of the non-standard analog of the union of those sets?

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