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 53 · Answer 1 · 2026-04-16 14:35:13

53

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 16 Apr 2026 - 14:35

score 911 · Answer 2 · 2026-04-10 04:24:13

911

Views

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

Published on 10 Apr 2026 - 4:24

score 430 · Answer 3 · 2026-05-10 17:16:00

430

Views

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

Published on 10 May 2026 - 17:16

score 121 · Answer 4 · 2026-04-13 11:17:16

121

Views

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

Published on 13 Apr 2026 - 11:17

score 313 · Answer 5 · 2026-04-14 04:43:01

313

Views

Is my proof of "Theorem 1.2" correct?

Published on 14 Apr 2026 - 4:43

score 173 · Answer 6 · 2026-04-12 17:04:57

173

Views

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

Published on 12 Apr 2026 - 17:04

score 697 · Answer 7 · 2026-04-09 18:17:00

697

Views

Tensor product identity: proof without explicit construction

Published on 09 Apr 2026 - 18:17

score 744 · Answer 8 · 2026-04-09 20:57:30

744

Views

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

Published on 09 Apr 2026 - 20:57

score 246 · Answer 9 · 2026-04-15 04:24:22

246

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 15 Apr 2026 - 4:24

score 58 · Answer 10 · 2026-05-10 17:39:18

58

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 10 May 2026 - 17:39

score 69 · Answer 11 · 2026-04-15 10:41:21

69

Views

Each element of a class is a set

Published on 15 Apr 2026 - 10:41

score 206 · Answer 12 · 2026-04-14 18:21:42

206

Views

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

Published on 14 Apr 2026 - 18:21

score 235 · Answer 13 · 2026-04-15 23:22:30

235

Views

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

Published on 15 Apr 2026 - 23:22

score 106 · Answer 14 · 2026-03-26 07:52:14

106

Views

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

Published on 26 Mar 2026 - 7:52

score 180 · Answer 15 · 2026-05-10 15:45:16

180

Views

Is there a double integral lurking in this proof?

Published on 10 May 2026 - 15:45

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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