List questions from solution-verification

Published on 04 Jan 2020 - 0:19

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Why -since this set is also closed in $E$, and $E$ is connected, it follows that it must be all of $E$-?

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Show that $(X\times Y)\cup(Z\times Y) = (X\cup Z)\times Y$

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205

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Questions in Hatcher, Algebraic Topology, Proposition 3B.1

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54

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Problem in calculation of SVD for a matrix

Published on 26 Mar 2026 - 21:12

383

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Solve in $\mathbb{R^{3}}$ : $\begin{cases}x+y+xy=19\\y+z+yz=11\\x+z+xz=14\end{cases}$

Published on 04 Jan 2020 - 7:45

337

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Prove that for any integer $x$ and any integer $k$ that $x \equiv_k x$

Published on 04 Jan 2020 - 9:03

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If $\lim\limits_{x\rightarrow x_0} f(x) = \infty$ then $\exists \alpha<x_0\exists C\ :\ 1+f^2(x)\le Cf^2(x)\ \forall x\in[\alpha,x_0)$

Published on 04 Jan 2020 - 10:03

69

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Solution verification: $2851^{604^{20}}\overset{\text{?}} \equiv\pmod{14}$

Published on 29 Mar 2026 - 22:12

48

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Proof: For any positive integer $n$, there exists a prime whose first digits are the digits of $n$

Published on 04 Jan 2020 - 17:35

387

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Using Yoneda's Lemma to show that limits are unique

Published on 25 Mar 2026 - 21:01

72

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Property of bounded linear operators

Published on 04 Jan 2020 - 19:08

299

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Which integer is closest to the difference?

Published on 29 Mar 2026 - 10:55

58

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Validation of a proof

Published on 04 Jan 2020 - 21:54

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Prove that for any integers x and y and any integer k that if $x \equiv_k y$, then $y \equiv_k x$.

Published on 04 Jan 2020 - 23:12

List Question

The product of a linear map and its adjoint is invertible

Why -since this set is also closed in $E$, and $E$ is connected, it follows that it must be all of $E$-?

Show that $(X\times Y)\cup(Z\times Y) = (X\cup Z)\times Y$

Questions in Hatcher, Algebraic Topology, Proposition 3B.1

Problem in calculation of SVD for a matrix

Solve in $\mathbb{R^{3}}$ : $\begin{cases}x+y+xy=19\\y+z+yz=11\\x+z+xz=14\end{cases}$

Prove that for any integer $x$ and any integer $k$ that $x \equiv_k x$

If $\lim\limits_{x\rightarrow x_0} f(x) = \infty$ then $\exists \alpha<x_0\exists C\ :\ 1+f^2(x)\le Cf^2(x)\ \forall x\in[\alpha,x_0)$

Solution verification: $2851^{604^{20}}\overset{\text{?}} \equiv\pmod{14}$

Proof: For any positive integer $n$, there exists a prime whose first digits are the digits of $n$

Using Yoneda's Lemma to show that limits are unique

Property of bounded linear operators

Which integer is closest to the difference?

Validation of a proof

Prove that for any integers x and y and any integer k that if $x \equiv_k y$, then $y \equiv_k x$.

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