List questions from alternative-proof

Published on 13 Apr 2026 - 3:30

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Solving Inequality with positive numbers $a,b,c$.

Published on 12 Apr 2026 - 21:59

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Prove that $\iota(Y):=\operatorname{ext}(X\setminus Y)$ is an interior operator?

Published on 13 Apr 2026 - 4:13

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Does there exists a function $f:\Bbb{R}\to \Bbb{R}$ s.t $f$ is continuous on a dense $G_{\delta}$ set and discontinuous a.e on $\Bbb{R}$?

Published on 14 Apr 2026 - 17:45

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Exercise 10, Section 3.2 of Hoffman’s Linear Algebra

Published on 11 Apr 2026 - 14:41

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Probability that $4A+2B+C$ is a multiple of $8$ (better proof)

Published on 14 Apr 2026 - 13:00

56

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Exercise 11, Section 3.2 of Hoffman’s Linear Algebra

Published on 11 Apr 2026 - 3:59

93

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Proof of "big norm" lemma from Kreyszig section 2.4

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Proof of Heine Borel without proof by contradiction( closed and bounded $\iff$ compact direction)

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Alternative Proofs: Closed proper subspace of Hilbert space has non-empty orthogonal complement

Published on 14 Apr 2026 - 13:30

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Euler transform without generating functions

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Prove that $\frac {AN}{ND}=\frac{1}{2} \cdot \frac{AM}{MD}$ elementary.

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Exercise 6, Section 3.3 of Hoffman’s Linear Algebra

Published on 10 Apr 2026 - 18:14

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Exercise 7, Section 3.3 of Hoffman’s Linear Algebra

Published on 10 Apr 2026 - 21:38

107

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Let $\mathbb F$ be an extension of a field $\mathbb K$...

Published on 15 Apr 2026 - 14:21

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(complex variables)Let $D \subset C$ be an open connected...

Solving Inequality with positive numbers $a,b,c$.

Prove that $\iota(Y):=\operatorname{ext}(X\setminus Y)$ is an interior operator?

Does there exists a function $f:\Bbb{R}\to \Bbb{R}$ s.t $f$ is continuous on a dense $G_{\delta}$ set and discontinuous a.e on $\Bbb{R}$?

Exercise 10, Section 3.2 of Hoffman’s Linear Algebra

Probability that $4A+2B+C$ is a multiple of $8$ (better proof)

Exercise 11, Section 3.2 of Hoffman’s Linear Algebra

Proof of "big norm" lemma from Kreyszig section 2.4

Proof of Heine Borel without proof by contradiction( closed and bounded $\iff$ compact direction)

Alternative Proofs: Closed proper subspace of Hilbert space has non-empty orthogonal complement

Euler transform without generating functions

Prove that $\frac {AN}{ND}=\frac{1}{2} \cdot \frac{AM}{MD}$ elementary.

Exercise 6, Section 3.3 of Hoffman’s Linear Algebra

Exercise 7, Section 3.3 of Hoffman’s Linear Algebra

Let $\mathbb F$ be an extension of a field $\mathbb K$...

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