List questions from proof-verification

Published on 15 Apr 2026 - 2:25

35

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Is $p\neq 0$, then there are $x_+, x_- \in \mathbb{C}$ with $x_\pm ^2=p$.

Published on 15 Apr 2026 - 2:39

59

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Proof-check: Proving that a rectangle of area $A$ necessarily has minimal perimeter when it is a square of side $|\sqrt A|$

Published on 12 Apr 2026 - 20:59

713

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Find the algebraic dimension of space of matrices

Published on 16 Apr 2026 - 14:30

170

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Proof that a sequence converges.

Published on 13 Apr 2026 - 22:16

1.1k

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What's the probability that in a box of a dozen donuts with flavors randomly picked out of 14 no more than 3 flavors are in the box? (Check my work)

Published on 16 Apr 2026 - 12:27

552

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If every open cover of a set $F\in\mathbb{R}$ admits a finite subcover, then $F$ is closed and bounded.

Published on 15 Apr 2026 - 6:12

53

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Let $K$ be a ring. Then $K[X_1,X_2] \cong K[X_1][X_2]$

Published on 10 May 2026 - 23:27

283

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Arithmetic sequence questions

Published on 11 May 2026 - 6:10

91

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Proof-Verification:$\int x[3+\ln(1+x^2)]\arctan x{\rm d}x$.

Published on 15 Apr 2026 - 23:19

52

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Find covariance of a random process

Published on 12 Apr 2026 - 12:40

51

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Is this a valid proof for the general Leibniz rule?

Published on 12 Apr 2026 - 17:58

131

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Example of noncompact space in which every real valued continuous function on it is uniformly continuous

Published on 12 Apr 2026 - 12:33

90

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Alternative proof that $\pi$ is irrational

Published on 13 Apr 2026 - 2:10

209

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Proving that weird topology is compact

Published on 14 Apr 2026 - 17:43

List Question

Find number of leaves of a tree (Proof)

Is $p\neq 0$, then there are $x_+, x_- \in \mathbb{C}$ with $x_\pm ^2=p$.

Proof-check: Proving that a rectangle of area $A$ necessarily has minimal perimeter when it is a square of side $|\sqrt A|$

Find the algebraic dimension of space of matrices

Proof that a sequence converges.

What's the probability that in a box of a dozen donuts with flavors randomly picked out of 14 no more than 3 flavors are in the box? (Check my work)

If every open cover of a set $F\in\mathbb{R}$ admits a finite subcover, then $F$ is closed and bounded.

Let $K$ be a ring. Then $K[X_1,X_2] \cong K[X_1][X_2]$

Arithmetic sequence questions

Proof-Verification:$\int x[3+\ln(1+x^2)]\arctan x{\rm d}x$.

Find covariance of a random process

Is this a valid proof for the general Leibniz rule?

Example of noncompact space in which every real valued continuous function on it is uniformly continuous

Alternative proof that $\pi$ is irrational

Proving that weird topology is compact

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