Question

Proof for mean value inequality for vector functions

score 28 · Answer 1 · 2019-12-18 22:36:33

28

Views

Proof for mean value inequality for vector functions

Published on 18 Dec 2019 - 22:36

score 128 · Answer 2 · 2019-12-19 02:14:45

128

Views

Prove the set of reals $\textbf{R}$ is not a finite-dimensional vector space over the set of rationals $\textbf{Q}$

Published on 19 Dec 2019 - 2:14

score 54 · Answer 3 · 2019-12-19 10:14:17

54

Views

Prove that $a_n$ is null sequence for $a_{n}=n$ when $10\ge n$ and $a_{n}=\frac1n$ when $n>10. $

Published on 19 Dec 2019 - 10:14

score 212 · Answer 4 · 2019-12-19 12:29:06

212

Views

Prove that if $A$ is a countable infinite set, then $A^n$ is also countable infinite

Published on 19 Dec 2019 - 12:29

score 53 · Answer 5 · 2019-12-19 15:12:35

53

Views

Given the matrices $A\in M_{m\times n}, B\in M_{n\times p}: \ B\neq 0$, suppose $AB=0$. Prove: there exists a non-trivial solution for $Ax=0$

Published on 19 Dec 2019 - 15:12

score 66 · Answer 6 · 2019-12-19 20:11:12

66

Views

$A \in M_n(\mathbb F)$, sum in all rows and column transformation

Published on 19 Dec 2019 - 20:11

score 249 · Answer 7 · 2019-12-19 23:30:38

249

Views

Is my proof valid? Prove that the Well-Ordering Principle implies the Principle of Mathematical Induction

Published on 19 Dec 2019 - 23:30

score 453 · Answer 8 · 2019-12-20 00:07:45

453

Views

Homology of a disjoint union

Published on 20 Dec 2019 - 0:07

score 102 · Answer 9 · 2019-12-20 04:22:39

102

Views

Find value of $a_1$ such that $a_{101}=5075$

Published on 20 Dec 2019 - 4:22

score 140 · Answer 10 · 2019-12-20 09:08:11

140

Views

Is it right that $\{2x : x \in\mathbb{Z}, |x| < 4\} = \{−6,−4,−2,0,2,4,6\}$?

Published on 20 Dec 2019 - 9:08

score 664 · Answer 11 · 2019-12-20 15:50:21

664

Views

Does every non-empty closed subset of a scheme $X$ contain closed points in $X$ ($X$ not necessarily quasi-compact)

Published on 20 Dec 2019 - 15:50

score 86 · Answer 12 · 2019-12-20 19:04:39

86

Views

Matrix rank and discontinuous real function $\varphi(t)=\operatorname{rank}(t\cdot A)$

Published on 20 Dec 2019 - 19:04

score 141 · Answer 13 · 2026-03-25 01:28:05

141

Views

Prove $[z^{1/2}]$ has no holomorphic branch on any open ball $B(0,R)$

Published on 25 Mar 2026 - 1:28

score 144 · Answer 14 · 2019-12-21 01:59:04

144

Views

Prove that the series $\sum_{n=1}^\infty \frac{3n^2+x^4\cos(nx)}{n^4+x^2}$ converges.

Published on 21 Dec 2019 - 1:59

score 360 · Answer 15 · 2019-12-21 02:26:43

360

Views

existence of a minimal generating set of a finitely generated module

Published on 21 Dec 2019 - 2:26

List Question

Proof for mean value inequality for vector functions

Prove the set of reals $\textbf{R}$ is not a finite-dimensional vector space over the set of rationals $\textbf{Q}$

Prove that $a_n$ is null sequence for $a_{n}=n$ when $10\ge n$ and $a_{n}=\frac1n$ when $n>10. $

Prove that if $A$ is a countable infinite set, then $A^n$ is also countable infinite

Given the matrices $A\in M_{m\times n}, B\in M_{n\times p}: \ B\neq 0$, suppose $AB=0$. Prove: there exists a non-trivial solution for $Ax=0$

$A \in M_n(\mathbb F)$, sum in all rows and column transformation

Is my proof valid? Prove that the Well-Ordering Principle implies the Principle of Mathematical Induction

Homology of a disjoint union

Find value of $a_1$ such that $a_{101}=5075$

Is it right that $\{2x : x \in\mathbb{Z}, |x| < 4\} = \{−6,−4,−2,0,2,4,6\}$?

Does every non-empty closed subset of a scheme $X$ contain closed points in $X$ ($X$ not necessarily quasi-compact)

Matrix rank and discontinuous real function $\varphi(t)=\operatorname{rank}(t\cdot A)$

Prove $[z^{1/2}]$ has no holomorphic branch on any open ball $B(0,R)$

Prove that the series $\sum_{n=1}^\infty \frac{3n^2+x^4\cos(nx)}{n^4+x^2}$ converges.

existence of a minimal generating set of a finitely generated module

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