List questions from proof-verification

Published on 12 Apr 2026 - 11:53

117

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Transform $x^2u_{xx}-2xu_x+2u=\lambda x^2u$ into $w_{xx}=-\lambda w$ by choosing $M(x)$ where $u(x)=M(x)w(x)$

Published on 16 Apr 2026 - 13:14

198

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Is this proof of the uniqueness of prime factorizations unnecessarily long?

Published on 12 Apr 2026 - 17:58

325

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Laplace equation in 3D with numerous Non-Homogeneous BC(s) [Strategy Check]

Published on 25 Mar 2026 - 13:57

531

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Solving the BVP $u_{xx}+a^2u=\sin(\pi x)$ with $u(0)=1$ and $u(1)=-2$

Published on 28 Mar 2026 - 6:01

66

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Bijection between $\mathbb{N}$ and $A \subseteq \mathbb{N}$

Published on 17 Apr 2026 - 0:19

439

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Prove that $V = \text{null }\varphi \oplus \{au:a \in \mathbb{F}\}$

Published on 16 Apr 2026 - 1:28

42

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Center of $A=\left\{\left(\begin{smallmatrix} a & b \\ -\overline{b} & \overline{a}\end{smallmatrix}\right)\big\vert\ a,b\in\mathbb{C}\right\}$

Published on 17 Apr 2026 - 9:37

42

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Show that For $A$ closed in a metric space $(,)$ and $a$ isn't in A, $(,A):=inf[(a,x) : x \in A]$ > 0

Published on 15 Apr 2026 - 15:42

90

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Is there a positive integer $n$ where $14$ divide $30^n$? Explain why.

Published on 14 Apr 2026 - 9:34

165

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Proof: sum of even and odd integer is odd

Published on 10 May 2026 - 14:51

100

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Showing equality of 2 suprema in complete lattice

Published on 10 Apr 2026 - 16:24

62

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Problem with norms over $\mathbb{R}^2$

Published on 10 Apr 2026 - 18:58

181

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A question on sub-sequential limits of a partial sum of a convergent sequence.

Published on 12 Apr 2026 - 8:33

40

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Verification of understanding proving convergence of random variables.

Published on 14 Apr 2026 - 5:20

List Question

Baby Rudin ex. 3.8 proof verification

Transform $x^2u_{xx}-2xu_x+2u=\lambda x^2u$ into $w_{xx}=-\lambda w$ by choosing $M(x)$ where $u(x)=M(x)w(x)$

Is this proof of the uniqueness of prime factorizations unnecessarily long?

Laplace equation in 3D with numerous Non-Homogeneous BC(s) [Strategy Check]

Solving the BVP $u_{xx}+a^2u=\sin(\pi x)$ with $u(0)=1$ and $u(1)=-2$

Bijection between $\mathbb{N}$ and $A \subseteq \mathbb{N}$

Prove that $V = \text{null }\varphi \oplus \{au:a \in \mathbb{F}\}$

Center of $A=\left\{\left(\begin{smallmatrix} a & b \\ -\overline{b} & \overline{a}\end{smallmatrix}\right)\big\vert\ a,b\in\mathbb{C}\right\}$

Show that For $A$ closed in a metric space $(,)$ and $a$ isn't in A, $(,A):=inf[(a,x) : x \in A]$ > 0

Is there a positive integer $n$ where $14$ divide $30^n$? Explain why.

Proof: sum of even and odd integer is odd

Showing equality of 2 suprema in complete lattice

Problem with norms over $\mathbb{R}^2$

A question on sub-sequential limits of a partial sum of a convergent sequence.

Verification of understanding proving convergence of random variables.

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