List questions from solution-verification

Published on 30 Mar 2026 - 22:49

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Does the Cauchy-Schwarz integral inequality still hold for convergent improper integrals?

Published on 26 Mar 2026 - 21:12

156

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Maximum interval for every initial condition

Published on 13 Mar 2020 - 23:31

48

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How to compute the magnetic field given a circularly polarised electric field?

Published on 25 Mar 2026 - 10:57

96

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Prop: Image of $f(X)$ is compact under $f$

Published on 04 Apr 2026 - 12:37

213

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Find a diagonal matrix congruent to the following given matrix.

Published on 28 Mar 2026 - 5:59

44

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Proof By Induction: Correct?

Published on 14 Mar 2020 - 13:48

120

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Where is the flaw in this proof by induction?

Published on 28 Mar 2026 - 22:26

66

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Derived PDF calculation - where did it go wrong?

Published on 26 Mar 2026 - 14:40

59

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Derived PDF calculation - how do I do substitution between X and Y in this case?

Published on 26 Mar 2026 - 14:34

154

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Show $|\mathbb R| = |(0, 1)|$

Published on 14 Mar 2020 - 18:43

680

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Proving set $(0,1)\times\{0\} \subseteq\mathbb{R^2}$ is not open.

Published on 14 Mar 2020 - 21:47

62

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Proof Review: Fundamental group abelian if and only if isomorphisms are equivalent

Published on 15 Mar 2020 - 4:09

626

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The Veronese Embeddings (Exercise I.2.12 in Hartshorne)

Published on 15 Mar 2020 - 13:58

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Prove that for every real number $x$, if $x>2$ then there is a real number $y$ such that $y+1/y = x$.

Published on 15 Mar 2020 - 15:27

List Question

Calculate $\int_0^\infty e^{-\frac{x}{2}}\frac{|\sin x-\cos x|}{\sqrt{\sin x}}\ dx$

Does the Cauchy-Schwarz integral inequality still hold for convergent improper integrals?

Maximum interval for every initial condition

How to compute the magnetic field given a circularly polarised electric field?

Prop: Image of $f(X)$ is compact under $f$

Find a diagonal matrix congruent to the following given matrix.

Proof By Induction: Correct?

Where is the flaw in this proof by induction?

Derived PDF calculation - where did it go wrong?

Derived PDF calculation - how do I do substitution between X and Y in this case?

Show $|\mathbb R| = |(0, 1)|$

Proving set $(0,1)\times\{0\} \subseteq\mathbb{R^2}$ is not open.

Proof Review: Fundamental group abelian if and only if isomorphisms are equivalent

The Veronese Embeddings (Exercise I.2.12 in Hartshorne)

Prove that for every real number $x$, if $x>2$ then there is a real number $y$ such that $y+1/y = x$.

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