List questions from proof-explanation

687

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Prove, by induction, that $\varphi^{n+1} = \varphi \cdot F_{n+1} + F_n$ for all natural numbers $n$.

Published on 15 Apr 2026 - 18:54

64

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verify $\mu = \sum^{+\infty}_{n=1} e^{-n} \delta_{1/n}$ $\nu = \sum^{+\infty}_{n=1} e^{n} \delta_{1/n}$ are measures and define their negligeable sets

Published on 16 Apr 2026 - 13:20

65

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Clarification about isometric imbedding of a metric space into its completion

Published on 26 Mar 2026 - 1:34

350

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What does it mean by "bounded sub-martingale"?

Published on 12 Apr 2026 - 5:20

469

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Banach-Alaoglu Theorem Proof Understanding

Published on 25 Mar 2026 - 16:07

206

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If p is prime and $p > 2$, then $p^2+4$ is prime.

Published on 15 Apr 2026 - 23:22

148

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Square root of a sum

Published on 08 Apr 2026 - 20:09

51

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How the authors conclude ${Y_{S}} =\phi_{N}\left({X_{S}}\right)$ in the proof of Optional Sampling Theorem?

Published on 16 Apr 2026 - 5:12

58

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I can't understand this limit of a sum proof

Published on 15 Apr 2026 - 4:11

619

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Area: concentric circles vs concentric rectangles

Published on 28 Apr 2026 - 17:40

208

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Forgetful functors from categories of algebra create limits?

Published on 25 Mar 2026 - 22:23

89

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Let $L$ be a Lie algebra. Is $Z(L) \subset [L,L]$?

Published on 17 Apr 2026 - 2:29

85

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General description of colimits in $\mathbf{Set}$ - 2

Published on 25 Mar 2026 - 22:25

38

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Show that there is a number $a \in (0,1]$ such that $U = [0,a) \bigcup W.$

Published on 16 Apr 2026 - 12:46

152

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Open subsets of the closed unit interval.

Published on 14 Apr 2026 - 10:33

List Question

Prove, by induction, that $\varphi^{n+1} = \varphi \cdot F_{n+1} + F_n$ for all natural numbers $n$.

verify $\mu = \sum^{+\infty}_{n=1} e^{-n} \delta_{1/n}$ $\nu = \sum^{+\infty}_{n=1} e^{n} \delta_{1/n}$ are measures and define their negligeable sets

Clarification about isometric imbedding of a metric space into its completion

What does it mean by "bounded sub-martingale"?

Banach-Alaoglu Theorem Proof Understanding

If p is prime and $p > 2$, then $p^2+4$ is prime.

Square root of a sum

How the authors conclude ${Y_{S}} =\phi_{N}\left({X_{S}}\right)$ in the proof of Optional Sampling Theorem?

I can't understand this limit of a sum proof

Area: concentric circles vs concentric rectangles

Forgetful functors from categories of algebra create limits?

Let $L$ be a Lie algebra. Is $Z(L) \subset [L,L]$?

General description of colimits in $\mathbf{Set}$ - 2

Show that there is a number $a \in (0,1]$ such that $U = [0,a) \bigcup W.$

Open subsets of the closed unit interval.

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