Question

Proving rank equality and solution existence in Rouche-Capelli's theorem

score 129 · Answer 1 · 2026-04-13 07:15:31

129

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Proving rank equality and solution existence in Rouche-Capelli's theorem

Published on 13 Apr 2026 - 7:15

score 71 · Answer 2 · 2026-04-14 22:24:18

71

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Approximation to $\int_a^bu(t/\epsilon)\,dt$ for periodic function $u$, small $\epsilon > 0$

Published on 14 Apr 2026 - 22:24

score 251 · Answer 3 · 2026-04-11 09:08:01

251

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Derivation of 2D / binormal / bivariate Gaussian general equation

Published on 11 Apr 2026 - 9:08

score 324 · Answer 4 · 2026-04-14 17:48:18

324

Views

Rank theorem on Zorich Analysis book I: an unclear step

Published on 14 Apr 2026 - 17:48

score 146 · Answer 5 · 2026-04-14 08:49:58

146

Views

Existence of chain homotopy from Dummit and Foote Chapter 17 Proposition 5

Published on 14 Apr 2026 - 8:49

score 131 · Answer 6 · 2026-04-09 15:21:09

131

Views

Why are the functions inside the integral integrable?

Published on 09 Apr 2026 - 15:21

score 49 · Answer 7 · 2026-04-16 09:27:53

49

Views

Why $\lim_{n\rightarrow\infty} \mbox{Re}(T_1\xi_n\mid \lambda T_2\xi_n)=\lim_{n\rightarrow\infty} (T_1\xi_n\mid \lambda T_2\xi_n)$?

Published on 16 Apr 2026 - 9:27

score 40 · Answer 8 · 2026-04-17 08:08:51

40

Views

Proving If A then B ...

Published on 17 Apr 2026 - 8:08

score 161 · Answer 9 · 2026-04-13 00:24:09

161

Views

To understand a proof of the theorem from Munkres' Topology (Section: Closed Sets and Lİmit Points)

Published on 13 Apr 2026 - 0:24

score 173 · Answer 10 · 2026-04-13 21:43:51

173

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From table of discrete joint distribution of $X$ and $Y$ to read the distribution of $X$ and $Y$ and $\mathbb{E}(Y|X)$ --- Durrett 1.4.2

Published on 13 Apr 2026 - 21:43

score 103 · Answer 11 · 2026-04-16 10:23:16

103

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Durrett Theorem 4.1.8: minimizes the mean square error $\mathbb{E}(X-Y)^{2}$ using conditional expectation $\mathbb{E}(X|\mathcal{F})$

Published on 16 Apr 2026 - 10:23

score 2.5k · Answer 12 · 2026-04-16 10:06:51

2.5k

Views

Proving the Splitting Lemma on pg.147 in AT.

Published on 16 Apr 2026 - 10:06

score 741 · Answer 13 · 2026-04-12 14:41:06

741

Views

Going down theorem: Atiyah and Macdonald

Published on 12 Apr 2026 - 14:41

score 20 · Answer 14 · 2026-04-11 21:07:03

20

Views

Corresponding homogenous system derivation question

Published on 11 Apr 2026 - 21:07

score 35 · Answer 15 · 2026-04-14 16:52:30

35

Views

Normalizers of subgroups of $p$-groups. Is my proof correct?

Published on 14 Apr 2026 - 16:52

List Question

Proving rank equality and solution existence in Rouche-Capelli's theorem

Approximation to $\int_a^bu(t/\epsilon)\,dt$ for periodic function $u$, small $\epsilon > 0$

Derivation of 2D / binormal / bivariate Gaussian general equation

Rank theorem on Zorich Analysis book I: an unclear step

Existence of chain homotopy from Dummit and Foote Chapter 17 Proposition 5

Why are the functions inside the integral integrable?

Why $\lim_{n\rightarrow\infty} \mbox{Re}(T_1\xi_n\mid \lambda T_2\xi_n)=\lim_{n\rightarrow\infty} (T_1\xi_n\mid \lambda T_2\xi_n)$?

Proving If A then B ...

To understand a proof of the theorem from Munkres' Topology (Section: Closed Sets and Lİmit Points)

From table of discrete joint distribution of $X$ and $Y$ to read the distribution of $X$ and $Y$ and $\mathbb{E}(Y|X)$ --- Durrett 1.4.2

Durrett Theorem 4.1.8: minimizes the mean square error $\mathbb{E}(X-Y)^{2}$ using conditional expectation $\mathbb{E}(X|\mathcal{F})$

Proving the Splitting Lemma on pg.147 in AT.

Going down theorem: Atiyah and Macdonald

Corresponding homogenous system derivation question

Normalizers of subgroups of $p$-groups. Is my proof correct?

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