Question

Two endomorphisms, $u$ and $v$, of $\mathbb{C^n}$ such that $[u,v] = \alpha u + \beta v$ are both triangular in the same basis

score 50 · Answer 1 · 2018-06-04 12:02:35

50

Views

Two endomorphisms, $u$ and $v$, of $\mathbb{C^n}$ such that $[u,v] = \alpha u + \beta v$ are both triangular in the same basis

Published on 04 Jun 2018 - 12:02

score 909 · Answer 2 · 2026-03-26 04:51:13

909

Views

Is it possible to prove that a triangle has 180 degrees, without using parallel line properties?

Published on 26 Mar 2026 - 4:51

score 427 · Answer 3 · 2026-03-25 06:04:34

427

Views

Is it possible to prove the zero product property in a vector space the other way around.

Published on 25 Mar 2026 - 6:04

score 118 · Answer 4 · 2018-06-08 10:13:52

118

Views

$(x\in y\land y\in x)\to\bot$ in FOL

Published on 08 Jun 2018 - 10:13

score 310 · Answer 5 · 2018-06-09 20:33:56

310

Views

Is my proof of "Theorem 1.2" correct?

Published on 09 Jun 2018 - 20:33

score 170 · Answer 6 · 2018-06-09 23:50:27

170

Views

Characterizing the irreducible complex representations of a group - trying to find a simpler method

Published on 09 Jun 2018 - 23:50

score 695 · Answer 7 · 2018-06-10 15:28:59

695

Views

Tensor product identity: proof without explicit construction

Published on 10 Jun 2018 - 15:28

score 742 · Answer 8 · 2026-03-25 12:53:12

742

Views

Alternative way of proving a level set is closed if the function is continuous

Published on 25 Mar 2026 - 12:53

score 243 · Answer 9 · 2018-06-12 02:41:24

243

Views

Probabilistic/combinatoric proof of $\sum_{k=0}^{n}\binom{tk+r}{k}\binom{t(n-k)+s}{n-k}\frac{r}{tk+r}=\binom{tn+r+s}{n}$

Published on 12 Jun 2018 - 2:41

score 55 · Answer 10 · 2026-03-25 09:10:38

55

Views

What are some other ways to prove $\sum_{k=1}^n\left(\prod_{i=1}^k\frac{n-k+i}{k-i+1}\right)=2^n-1$?

Published on 25 Mar 2026 - 9:10

score 66 · Answer 11 · 2018-06-13 14:58:11

66

Views

Each element of a class is a set

Published on 13 Jun 2018 - 14:58

score 204 · Answer 12 · 2026-03-25 12:46:30

204

Views

Harmonic function with condition $\lim_{y\to\infty}u(x,y)=0$

Published on 25 Mar 2026 - 12:46

score 233 · Answer 13 · 2026-03-26 01:07:53

233

Views

Alternative proof that $\mbox{tr}(A)$ is an eigenvalue of a rank-$1$ matrix

Published on 26 Mar 2026 - 1:07

score 105 · Answer 14 · 2026-03-23 14:32:11

105

Views

Cone of tangents is a subset of $\{d\in\mathbb R^n\mid\nabla g_i(\overline x)^td\le 0\}$

Published on 23 Mar 2026 - 14:32

score 177 · Answer 15 · 2026-03-25 01:36:16

177

Views

Is there a double integral lurking in this proof?

Published on 25 Mar 2026 - 1:36

List Question

Two endomorphisms, $u$ and $v$, of $\mathbb{C^n}$ such that $[u,v] = \alpha u + \beta v$ are both triangular in the same basis

Is it possible to prove that a triangle has 180 degrees, without using parallel line properties?

Is it possible to prove the zero product property in a vector space the other way around.

$(x\in y\land y\in x)\to\bot$ in FOL

Is my proof of "Theorem 1.2" correct?

Characterizing the irreducible complex representations of a group - trying to find a simpler method

Tensor product identity: proof without explicit construction

Alternative way of proving a level set is closed if the function is continuous

Probabilistic/combinatoric proof of $\sum_{k=0}^{n}\binom{tk+r}{k}\binom{t(n-k)+s}{n-k}\frac{r}{tk+r}=\binom{tn+r+s}{n}$

What are some other ways to prove $\sum_{k=1}^n\left(\prod_{i=1}^k\frac{n-k+i}{k-i+1}\right)=2^n-1$?

Each element of a class is a set

Harmonic function with condition $\lim_{y\to\infty}u(x,y)=0$

Alternative proof that $\mbox{tr}(A)$ is an eigenvalue of a rank-$1$ matrix

Cone of tangents is a subset of $\{d\in\mathbb R^n\mid\nabla g_i(\overline x)^td\le 0\}$

Is there a double integral lurking in this proof?

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