Question

Finitely additive function on an infinite set, s.t., $m(A)=0$ for any finite set and $m(X)=1$ (constructive approach)

score 422 · Answer 1 · 2014-10-14 00:01:36

422

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Finitely additive function on an infinite set, s.t., $m(A)=0$ for any finite set and $m(X)=1$ (constructive approach)

Published on 14 Oct 2014 - 0:01

score 185 · Answer 2 · 2014-10-14 18:22:03

185

Views

Is $\int f=f-1\iff f(\cdot)=e^{\cdot}$ proved this way correct?

Published on 14 Oct 2014 - 18:22

score 3.3k · Answer 3 · 2014-10-14 23:22:17

3.3k

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Set of open intervals in R with rational endpoints is a basis for standard topology on R

Published on 14 Oct 2014 - 23:22

score 104 · Answer 4 · 2014-10-20 00:39:46

104

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If d is a norm on V, is $\frac{d(x,y)}{1+d(x,y)}$ a norm on V?

Published on 20 Oct 2014 - 0:39

score 147 · Answer 5 · 2026-03-28 01:12:47

147

Views

What more can i do to this infinite sum?

Published on 28 Mar 2026 - 1:12

score 2.8k · Answer 6 · 2014-10-21 06:17:51

2.8k

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If $G$ is simple, then $\epsilon \leq {v \choose 2}$ - Bondy/Murty - Graph Theory with Applications Page 4

Published on 21 Oct 2014 - 6:17

score 4.7k · Answer 7 · 2014-10-24 00:09:11

4.7k

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Prove that if p divides xy then p divides x or p divides y

Published on 24 Oct 2014 - 0:09

score 176 · Answer 8 · 2026-03-29 06:30:29

176

Views

Proving $P(A|(B \cap C)) = P(B | (A \cap C)) P(A | C) / P(B | C)$ using Bayes' theorem.

Published on 29 Mar 2026 - 6:30

score 655 · Answer 9 · 2014-10-25 12:37:17

655

Views

Metrics and the Kuratowski closure axioms

Published on 25 Oct 2014 - 12:37

score 1.1k · Answer 10 · 2014-10-29 02:47:39

1.1k

Views

What is Neyman-Pearson lemma? Why is this proof of Neyman-Pearson's lemma look so diffcult?

Published on 29 Oct 2014 - 2:47

score 149 · Answer 11 · 2014-10-29 21:36:17

149

Views

$\frac{1}{1+2}+\frac{1}{1+2+3}+\dots+\frac{1}{1+2+3+\dots+x}=\frac{2011}{2013}$

Published on 29 Oct 2014 - 21:36

score 3.8k · Answer 12 · 2026-03-28 17:39:32

3.8k

Views

Prove that every nonempty finite set has a maximum.

Published on 28 Mar 2026 - 17:39

score 84 · Answer 13 · 2014-11-02 06:22:30

84

Views

Placing bricks on Board

Published on 02 Nov 2014 - 6:22

score 4.6k · Answer 14 · 2026-03-28 03:02:22

4.6k

Views

Elements of order 5 in $A_6$

Published on 28 Mar 2026 - 3:02

score 70 · Answer 15 · 2026-03-25 21:50:00

70

Views

Need alternative proof to $ \exists x (k(x) \rightarrow t)$ entails $\forall x (k(x)) \rightarrow t $

Published on 25 Mar 2026 - 21:50

List Question

Finitely additive function on an infinite set, s.t., $m(A)=0$ for any finite set and $m(X)=1$ (constructive approach)

Is $\int f=f-1\iff f(\cdot)=e^{\cdot}$ proved this way correct?

Set of open intervals in R with rational endpoints is a basis for standard topology on R

If d is a norm on V, is $\frac{d(x,y)}{1+d(x,y)}$ a norm on V?

What more can i do to this infinite sum?

If $G$ is simple, then $\epsilon \leq {v \choose 2}$ - Bondy/Murty - Graph Theory with Applications Page 4

Prove that if p divides xy then p divides x or p divides y

Proving $P(A|(B \cap C)) = P(B | (A \cap C)) P(A | C) / P(B | C)$ using Bayes' theorem.

Metrics and the Kuratowski closure axioms

What is Neyman-Pearson lemma? Why is this proof of Neyman-Pearson's lemma look so diffcult?

$\frac{1}{1+2}+\frac{1}{1+2+3}+\dots+\frac{1}{1+2+3+\dots+x}=\frac{2011}{2013}$

Prove that every nonempty finite set has a maximum.

Placing bricks on Board

Elements of order 5 in $A_6$

Need alternative proof to $ \exists x (k(x) \rightarrow t)$ entails $\forall x (k(x)) \rightarrow t $

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