Question

Derivative of norm function

score 192 · Answer 1 · 2026-04-11 12:27:54

192

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Derivative of norm function

Published on 11 Apr 2026 - 12:27

score 25 · Answer 2 · 2026-04-14 14:42:58

25

Views

Proving a homeomorphism

Published on 14 Apr 2026 - 14:42

score 57 · Answer 3 · 2026-04-16 21:58:19

57

Views

proof verification for completeness of a metric space $(M,f)$ where $M=X \times Y$ and $f((x_1,y_1),(x_2,y_2))=d(x_1,x_2)+e(y_1,y_2)$

Published on 16 Apr 2026 - 21:58

score 79 · Answer 4 · 2026-04-11 16:24:57

79

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Show $-A \neq \emptyset$

Published on 11 Apr 2026 - 16:24

score 60 · Answer 5 · 2026-04-11 12:45:53

60

Views

Quotient Topology and Subspaces - Proof Verification

Published on 11 Apr 2026 - 12:45

score 163 · Answer 6 · 2026-04-30 03:37:47

163

Views

Let $a^2+b^2=1,c^2+d^2=1$ and $ac+bd=0.$ Prove that $a^2+c^2=1, b^2+d^2=1$ and $ab+cd=0.$

Published on 30 Apr 2026 - 3:37

score 135 · Answer 7 · 2026-04-15 23:08:54

135

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Solution check request for an exercise in Arbib and Manes's showing the existence of $\textbf{equalizer}$ in the category of vector spaces

Published on 15 Apr 2026 - 23:08

score 90 · Answer 8 · 2026-04-15 18:15:16

90

Views

Proving sequence $x_n= \sum_{k=1}^{n} \frac{1}{k}$ diverges

Published on 15 Apr 2026 - 18:15

score 133 · Answer 9 · 2026-04-17 06:20:44

133

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Evaluate the limit $\;\lim_{n \to \infty} \sin\bigg(\pi\sqrt{n^2+n-3}\bigg)$

Published on 17 Apr 2026 - 6:20

score 51 · Answer 10 · 2026-04-16 00:59:08

51

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Determine the basis transformation matrix of the linear map $A=\begin{pmatrix} -1 &1 &2 \\ 3& 3 &4 \\ 2& 1 & 1 \end{pmatrix}$

Published on 16 Apr 2026 - 0:59

score 91 · Answer 11 · 2026-04-16 07:54:02

91

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$\cos^2(a)+\sin^2(a)=1$, where $a\in A$ and $A$ is a $C^*$-algebra

Published on 16 Apr 2026 - 7:54

score 65 · Answer 12 · 2026-04-15 00:02:54

65

Views

If a binary number is greater or equal than another one, does it have the same or more number of digits?

Published on 15 Apr 2026 - 0:02

score 58 · Answer 13 · 2026-04-11 01:12:07

58

Views

Doubt on complexity of multiplying two binary numbers.

Published on 11 Apr 2026 - 1:12

score 45 · Answer 14 · 2026-04-12 21:28:37

45

Views

What are the justifications for the steps involved finding the potential of a vector field by line integrating the latter?

Published on 12 Apr 2026 - 21:28

score 188 · Answer 15 · 2026-04-16 03:20:34

188

Views

Solution check request for an exercise in Arbib and Manes's showing the existence of $\textbf{coequalizer}$ in category $\textbf{Vect}$

Published on 16 Apr 2026 - 3:20

List Question

Derivative of norm function

Proving a homeomorphism

proof verification for completeness of a metric space $(M,f)$ where $M=X \times Y$ and $f((x_1,y_1),(x_2,y_2))=d(x_1,x_2)+e(y_1,y_2)$

Show $-A \neq \emptyset$

Quotient Topology and Subspaces - Proof Verification

Let $a^2+b^2=1,c^2+d^2=1$ and $ac+bd=0.$ Prove that $a^2+c^2=1, b^2+d^2=1$ and $ab+cd=0.$

Solution check request for an exercise in Arbib and Manes's showing the existence of $\textbf{equalizer}$ in the category of vector spaces

Proving sequence $x_n= \sum_{k=1}^{n} \frac{1}{k}$ diverges

Evaluate the limit $\;\lim_{n \to \infty} \sin\bigg(\pi\sqrt{n^2+n-3}\bigg)$

Determine the basis transformation matrix of the linear map $A=\begin{pmatrix} -1 &1 &2 \\ 3& 3 &4 \\ 2& 1 & 1 \end{pmatrix}$

$\cos^2(a)+\sin^2(a)=1$, where $a\in A$ and $A$ is a $C^*$-algebra

If a binary number is greater or equal than another one, does it have the same or more number of digits?

Doubt on complexity of multiplying two binary numbers.

What are the justifications for the steps involved finding the potential of a vector field by line integrating the latter?

Solution check request for an exercise in Arbib and Manes's showing the existence of $\textbf{coequalizer}$ in category $\textbf{Vect}$

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