List questions from proof-explanation

Published on 16 Apr 2026 - 1:55

158

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Infinity Summation problem (ANSWERED)

Published on 12 Apr 2026 - 18:47

145

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The Hahn-Banach Extension theorem Elaboration

Published on 25 Mar 2026 - 16:09

168

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Probability of a random variable and its counterpart raised to power of $n$

Published on 12 Apr 2026 - 1:38

145

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Explanation about a proof regarding the standard topology

Published on 09 Apr 2026 - 17:13

150

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Limits in $\mathbf {Set}$

Published on 26 Apr 2026 - 15:32

49

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Understanding the idea of the proof in a question.

Published on 10 Apr 2026 - 6:43

902

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$X^*$ is separable then $X$ is separable [Proof explanation]

Published on 25 Mar 2026 - 16:07

1.1k

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How to prove that the difference between two consecutive squares is odd?

Published on 10 Apr 2026 - 23:52

93

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What is $\displaystyle\lim_{x\to\infty}(\left \lfloor{-\dfrac{1}{x}}\right \rfloor )$?

Published on 15 Apr 2026 - 13:07

57

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$ v(\omega) : = \inf \{ n \geq 2 : \omega \in A_n \} $ , proving that $v$ is a random variable

Published on 14 Apr 2026 - 9:31

72

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How to prove: If $n \in N$, then $n^2=2\binom{n}{2} + \binom{n}{1}$

Published on 14 Apr 2026 - 12:47

55

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How to prove that $\sqrt{2} + \sqrt{7}$ is irrational?

Published on 11 Apr 2026 - 16:52

54

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How come $\{ \omega; S_N(\Omega) \in A \} = \cup_{k \in N} \{ \sum^{N(\omega)}_{i=1} X_i(\omega) \in A$ and $N(\omega)=k \}$

Published on 15 Apr 2026 - 5:42

2.6k

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If $A, B$ are positive semi-definite, then $Tr(AB) = 0$ iff $AB = 0.$

Published on 26 Mar 2026 - 11:04

List Question

How $\sum_{p-1}^{2p-1} |c_N|=(1+k)^p$ holds?

Infinity Summation problem (ANSWERED)

The Hahn-Banach Extension theorem Elaboration

Probability of a random variable and its counterpart raised to power of $n$

Explanation about a proof regarding the standard topology

Limits in $\mathbf {Set}$

Understanding the idea of the proof in a question.

$X^*$ is separable then $X$ is separable [Proof explanation]

How to prove that the difference between two consecutive squares is odd?

What is $\displaystyle\lim_{x\to\infty}(\left \lfloor{-\dfrac{1}{x}}\right \rfloor )$?

$ v(\omega) : = \inf \{ n \geq 2 : \omega \in A_n \} $ , proving that $v$ is a random variable

How to prove: If $n \in N$, then $n^2=2\binom{n}{2} + \binom{n}{1}$

How to prove that $\sqrt{2} + \sqrt{7}$ is irrational?

How come $\{ \omega; S_N(\Omega) \in A \} = \cup_{k \in N} \{ \sum^{N(\omega)}_{i=1} X_i(\omega) \in A$ and $N(\omega)=k \}$

If $A, B$ are positive semi-definite, then $Tr(AB) = 0$ iff $AB = 0.$

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