Question

Linear Algebra-Orthogonal Vectors

score 27 · Answer 1 · 2026-03-25 14:21:39

27

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Linear Algebra-Orthogonal Vectors

Published on 25 Mar 2026 - 14:21

score 17 · Answer 2 · 2026-03-16 23:12:41

17

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Could some one help me about this proof? it is about closure.

Published on 16 Mar 2026 - 23:12

score 357 · Answer 3 · 2018-04-06 01:45:47

357

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Let $\mu$ be a measure and $\mu_1, \mu_2$ are mutually singular measures on a space $(X, \mathcal{B})$ where $\mu = \mu_1 - \mu_2$. Show $\mu_2 = 0$.

Published on 06 Apr 2018 - 1:45

score 1.8k · Answer 4 · 2018-04-06 03:55:01

1.8k

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Suppose that $A$ is finite and that $f:A \to B$ is surjective. Then $B$ is finite and $\vert{B}\vert \leq \vert{A}\vert$

Published on 06 Apr 2018 - 3:55

score 1.1k · Answer 5 · 2018-04-06 07:24:47

1.1k

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Is Finite Cartesian Product of Connected Spaces is Connected?

Published on 06 Apr 2018 - 7:24

score 91 · Answer 6 · 2026-03-25 10:57:24

91

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Let $H = \{e, (12)\} \subset S_3$. Find the orbit of $H$ under conjugation by $G$.

Published on 25 Mar 2026 - 10:57

score 4k · Answer 7 · 2026-03-26 16:57:31

4k

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Prove $\lambda^2-tr(A)\lambda+\det(A)=0$ is an alternate characteristic equation.

Published on 26 Mar 2026 - 16:57

score 220 · Answer 8 · 2026-03-25 07:46:30

220

Views

If $\forall x,y \in B$ if $(x,y) \in S$ and if $x+y$ is even then $x=y$ then each class of $S$ has at most $2$ elements

Published on 25 Mar 2026 - 7:46

score 24 · Answer 9 · 2026-03-25 04:41:37

24

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What are some other ways to find the joint distribution of $(X,S)$?

Published on 25 Mar 2026 - 4:41

score 41 · Answer 10 · 2026-03-25 07:45:54

41

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Is it true that $\forall x\in \mathbb Z: (-x-1,x)\in R^2$ if $(x,y)\in R \iff x^2+x = y^2+y$?

Published on 25 Mar 2026 - 7:45

score 49 · Answer 11 · 2018-04-06 10:10:25

49

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$I \subseteq I_n$ and $I \neq \varnothing \implies I$ has the greatest element [Proof Verification]

Published on 06 Apr 2018 - 10:10

score 89 · Answer 12 · 2018-04-06 10:53:50

89

Views

$I$ is an initial segment of $\mathbb{N} \implies I=\mathbb{N}$ or $I=I_n$ [Proof Verification]

Published on 06 Apr 2018 - 10:53

score 205 · Answer 13 · 2026-03-25 19:02:24

205

Views

An exercise in Banach Space Theory

Published on 25 Mar 2026 - 19:02

score 46 · Answer 14 · 2018-04-06 11:26:05

46

Views

$n \in \mathbb{N} \wedge n>0 \iff \exists r \in \mathbb{N},n=r+1$

Published on 06 Apr 2018 - 11:26

score 188 · Answer 15 · 2018-04-06 11:44:08

188

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If $f: \mathbb{C} \rightarrow \mathbb{C}$ is holomorphic and $|f(z)| \geq 1 \forall z \in \mathbb{C}$, show $f$ is constant

Published on 06 Apr 2018 - 11:44

List Question

Linear Algebra-Orthogonal Vectors

Could some one help me about this proof? it is about closure.

Let $\mu$ be a measure and $\mu_1, \mu_2$ are mutually singular measures on a space $(X, \mathcal{B})$ where $\mu = \mu_1 - \mu_2$. Show $\mu_2 = 0$.

Suppose that $A$ is finite and that $f:A \to B$ is surjective. Then $B$ is finite and $\vert{B}\vert \leq \vert{A}\vert$

Is Finite Cartesian Product of Connected Spaces is Connected?

Let $H = \{e, (12)\} \subset S_3$. Find the orbit of $H$ under conjugation by $G$.

Prove $\lambda^2-tr(A)\lambda+\det(A)=0$ is an alternate characteristic equation.

If $\forall x,y \in B$ if $(x,y) \in S$ and if $x+y$ is even then $x=y$ then each class of $S$ has at most $2$ elements

What are some other ways to find the joint distribution of $(X,S)$?

Is it true that $\forall x\in \mathbb Z: (-x-1,x)\in R^2$ if $(x,y)\in R \iff x^2+x = y^2+y$?

$I \subseteq I_n$ and $I \neq \varnothing \implies I$ has the greatest element [Proof Verification]

$I$ is an initial segment of $\mathbb{N} \implies I=\mathbb{N}$ or $I=I_n$ [Proof Verification]

An exercise in Banach Space Theory

$n \in \mathbb{N} \wedge n>0 \iff \exists r \in \mathbb{N},n=r+1$

If $f: \mathbb{C} \rightarrow \mathbb{C}$ is holomorphic and $|f(z)| \geq 1 \forall z \in \mathbb{C}$, show $f$ is constant

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