Question

Family of Measurable Sets Implies Measurable Function

score 154 · Answer 1 · 2026-03-25 06:02:25

154

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Family of Measurable Sets Implies Measurable Function

Published on 25 Mar 2026 - 6:02

score 2.1k · Answer 2 · 2018-09-02 19:44:54

2.1k

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Proving the set of all real-valued functions on a set forms a vector space

Published on 02 Sep 2018 - 19:44

score 1.7k · Answer 3 · 2018-09-02 22:01:59

1.7k

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Alternate Proofs that $\inf A = - \sup\left(-A\right)$ from Rudin

Published on 02 Sep 2018 - 22:01

score 797 · Answer 4 · 2026-04-04 06:21:00

797

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If $f(x)$ is continuous at $x=g(a)$, and $g(x)$ is continuous at $x=a$, then $\lim_{x\rightarrow a} f(g(x)) = \lim_{g(x)\rightarrow g(a)} f(g(x))$

Published on 04 Apr 2026 - 6:21

score 241 · Answer 5 · 2026-03-25 19:02:54

241

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Does $GL_5(\mathbb{R})$ has subgroup of index $2$?

Published on 25 Mar 2026 - 19:02

score 1k · Answer 6 · 2026-04-01 14:24:45

1k

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How to prove that the range of orthogonal projection matrix $P=A(A^HA)^{-1}A^H$ is the same as $R(A)$?

Published on 01 Apr 2026 - 14:24

score 630 · Answer 7 · 2026-04-01 17:06:53

630

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Finding a First Integral of the Lotka-Volterra System

Published on 01 Apr 2026 - 17:06

score 208 · Answer 8 · 2018-09-03 06:46:30

208

Views

the probability of 2 people visiting the same hotel on two days

Published on 03 Sep 2018 - 6:46

score 59 · Answer 9 · 2026-03-26 01:11:54

59

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Prove/disprove: there's a max element on the order $\leq \ $,as $ \ A\leq B; \ $ if $ \ \forall b_1,b_2\in B\to(b_1<b_2 \to|[b_1,b_2]\cap A|\geq2)$

Published on 26 Mar 2026 - 1:11

score 92 · Answer 10 · 2026-03-26 16:57:21

92

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Congruence equation for distinct primes $p,q$.

Published on 26 Mar 2026 - 16:57

score 119 · Answer 11 · 2026-03-25 11:24:34

119

Views

Finite dimensionality of $V_1\times V_2\times \dots\times V_m$ implies $V_j$ is finite dimensional $\forall j$.

Published on 25 Mar 2026 - 11:24

score 77 · Answer 12 · 2026-03-29 10:14:34

77

Views

Proving that $\mathbb{Q}[X] = (X-1) + (X+1)$

Published on 29 Mar 2026 - 10:14

score 56 · Answer 13 · 2018-09-03 11:54:42

56

Views

Need help in proving $\cup_{n=1}^{\infty} \{ \omega \in \Omega | X(\omega) \leq x_n \} = \{ \omega \in \Omega | X(\omega) < x\}$

Published on 03 Sep 2018 - 11:54

score 875 · Answer 14 · 2026-03-31 22:46:06

875

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If $R$ is an integral domain then $R[x]$ forms an integral domain

Published on 31 Mar 2026 - 22:46

score 1.2k · Answer 15 · 2026-03-27 01:45:59

1.2k

Views

Elementary proof that all fields of four elements are isomorphic to each other

Published on 27 Mar 2026 - 1:45

List Question

Family of Measurable Sets Implies Measurable Function

Proving the set of all real-valued functions on a set forms a vector space

Alternate Proofs that $\inf A = - \sup\left(-A\right)$ from Rudin

If $f(x)$ is continuous at $x=g(a)$, and $g(x)$ is continuous at $x=a$, then $\lim_{x\rightarrow a} f(g(x)) = \lim_{g(x)\rightarrow g(a)} f(g(x))$

Does $GL_5(\mathbb{R})$ has subgroup of index $2$?

How to prove that the range of orthogonal projection matrix $P=A(A^HA)^{-1}A^H$ is the same as $R(A)$?

Finding a First Integral of the Lotka-Volterra System

the probability of 2 people visiting the same hotel on two days

Prove/disprove: there's a max element on the order $\leq \ $,as $ \ A\leq B; \ $ if $ \ \forall b_1,b_2\in B\to(b_1<b_2 \to|[b_1,b_2]\cap A|\geq2)$

Congruence equation for distinct primes $p,q$.

Finite dimensionality of $V_1\times V_2\times \dots\times V_m$ implies $V_j$ is finite dimensional $\forall j$.

Proving that $\mathbb{Q}[X] = (X-1) + (X+1)$

Need help in proving $\cup_{n=1}^{\infty} \{ \omega \in \Omega | X(\omega) \leq x_n \} = \{ \omega \in \Omega | X(\omega) < x\}$

If $R$ is an integral domain then $R[x]$ forms an integral domain

Elementary proof that all fields of four elements are isomorphic to each other

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