List questions from proof-explanation

Published on 25 Mar 2026 - 23:37

77

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How can I prove that $(a+b)^{1/p} > a^{1/p} +b^{1/p}$ for every $0< p< 1.$ and for every $a,b > 0.$

Published on 15 Apr 2026 - 10:33

315

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Proof $\mathbb{Q}$ Is Dense In $\mathbb{R}$

Published on 16 Apr 2026 - 14:20

146

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Confusion about proof that Hopf fibration is a bundle

Published on 10 Apr 2026 - 19:36

60

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Question on Alf van Poorten's proof of the Four Square Theorem

Published on 11 Apr 2026 - 21:37

79

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Prove by induction that for any $n \ge 2$ : $\sum_{k=n+1}^{2n}\frac{1}{k} \ge \frac{13}{24}$

Published on 16 Apr 2026 - 8:29

292

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Finding discriminant of a monic polynomial.

Published on 25 Mar 2026 - 6:01

266

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Doubt in proof of Riesz representation theorem for $L^1$

Published on 11 Apr 2026 - 17:31

60

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Doubt in understanding why $L^1$ is not reflexive

Published on 08 Apr 2026 - 23:51

44

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Used the ratio test. Having problems reducing it by canceling out factorials.

Published on 12 Apr 2026 - 21:22

312

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How to prove that $\sin 1^\circ$ is irrational?

Published on 12 Apr 2026 - 22:07

68

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Is this sufficient for proving $a^3\equiv a\pmod{3}, a\in\Bbb{Z}$?

Published on 15 Apr 2026 - 9:33

86

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Doubt in Example realted to dual of $L^{\infty}$ is strictly bigger than $L^1$

Published on 11 Apr 2026 - 16:59

76

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Prove that $f(x) - f(a) = \int_{a}^{x} f^{'}, \forall x \in [a,b].$

Published on 16 Apr 2026 - 2:40

366

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Suppose that X is a cell complex with $\tilde{H}_{*}(X) = 0.$ Prove that the suspension $SX$ is contractible.

Published on 14 Apr 2026 - 12:56

List Question

How to interpret the intuitive idea behind Szemerédi regularity lemma?

How can I prove that $(a+b)^{1/p} > a^{1/p} +b^{1/p}$ for every $0< p< 1.$ and for every $a,b > 0.$

Proof $\mathbb{Q}$ Is Dense In $\mathbb{R}$

Confusion about proof that Hopf fibration is a bundle

Question on Alf van Poorten's proof of the Four Square Theorem

Prove by induction that for any $n \ge 2$ : $\sum_{k=n+1}^{2n}\frac{1}{k} \ge \frac{13}{24}$

Finding discriminant of a monic polynomial.

Doubt in proof of Riesz representation theorem for $L^1$

Doubt in understanding why $L^1$ is not reflexive

Used the ratio test. Having problems reducing it by canceling out factorials.

How to prove that $\sin 1^\circ$ is irrational?

Is this sufficient for proving $a^3\equiv a\pmod{3}, a\in\Bbb{Z}$?

Doubt in Example realted to dual of $L^{\infty}$ is strictly bigger than $L^1$

Prove that $f(x) - f(a) = \int_{a}^{x} f^{'}, \forall x \in [a,b].$

Suppose that X is a cell complex with $\tilde{H}_{*}(X) = 0.$ Prove that the suspension $SX$ is contractible.

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