Question

Proving that in $S \sqcup T,$ it must be that $S \cup T = S \sqcup T$.

score 64 · Answer 1 · 2020-01-25 21:50:25

64

Views

Proving that in $S \sqcup T,$ it must be that $S \cup T = S \sqcup T$.

Published on 25 Jan 2020 - 21:50

score 82 · Answer 2 · 2020-01-25 22:57:53

82

Views

My result of $\lim\limits_{n \to \infty} \frac{n\log_2n}{\log_2 n!}$ is different than Wolfram, where had I made a mistake?

Published on 25 Jan 2020 - 22:57

score 17 · Answer 3 · 2026-03-16 02:17:57

17

Views

If $S$ is symmetric, then its image of linear operator $Λ(S)$ is symmetric.

Published on 16 Mar 2026 - 2:17

score 42 · Answer 4 · 2026-03-29 22:33:47

42

Views

Find volume of body given by $x^2+y^2+z^2 \leq a^2$ and $x^2+y^2 \geq a(a-2z)$, $a>0$. Is this answer right? What are mistakes in my solution?

Published on 29 Mar 2026 - 22:33

score 249 · Answer 5 · 2026-03-25 17:38:05

249

Views

If $A$ commutes with $A^*A$, does it follow that $A$ is normal?

Published on 25 Mar 2026 - 17:38

score 235 · Answer 6 · 2020-01-26 00:32:21

235

Views

Does an increasing sequence always have a lower bound?

Published on 26 Jan 2020 - 0:32

score 80 · Answer 7 · 2020-01-26 03:07:11

80

Views

First attempt to solve a linear mod equation with one possible solution

Published on 26 Jan 2020 - 3:07

score 132 · Answer 8 · 2026-03-29 20:53:38

132

Views

How to find:$\lim_{x\to 0}\frac{\sin\left(e^{1-\cos^3x}-e^{1-\cos^4x}\right)}{x\arctan x}$

Published on 29 Mar 2026 - 20:53

score 127 · Answer 9 · 2026-03-25 16:21:17

127

Views

determine if the pair of vector spaces is isomorphic

Published on 25 Mar 2026 - 16:21

score 729 · Answer 10 · 2020-01-26 13:09:28

729

Views

Prove: a $\mathbb{C}\to\mathbb{C}$-polynomial of degree $>1$ is not injective

Published on 26 Jan 2020 - 13:09

score 178 · Answer 11 · 2026-03-27 19:30:26

178

Views

Direct sums producing the vector space R->R

Published on 27 Mar 2026 - 19:30

score 226 · Answer 12 · 2026-03-25 09:43:08

226

Views

If $T$ is normal and given $T$ is invertible, then is $T$ unitary? and Given two unitary operators $U$ and $R$ prove $U^{-1}R$ is also unitary.

Published on 25 Mar 2026 - 9:43

score 83 · Answer 13 · 2026-03-27 16:03:47

83

Views

find the $4th$ and $5th$ roots of unity

Published on 27 Mar 2026 - 16:03

score 316 · Answer 14 · 2026-03-27 07:44:00

316

Views

Show that $\int_a^b cf = c \int_a^b f$

Published on 27 Mar 2026 - 7:44

score 65 · Answer 15 · 2026-03-26 03:12:21

65

Views

Canonical Ramsey theorem in $m$-uniform setting admits $2^m$ canonical colorings.

Published on 26 Mar 2026 - 3:12

List Question

Proving that in $S \sqcup T,$ it must be that $S \cup T = S \sqcup T$.

My result of $\lim\limits_{n \to \infty} \frac{n\log_2n}{\log_2 n!}$ is different than Wolfram, where had I made a mistake?

If $S$ is symmetric, then its image of linear operator $Λ(S)$ is symmetric.

Find volume of body given by $x^2+y^2+z^2 \leq a^2$ and $x^2+y^2 \geq a(a-2z)$, $a>0$. Is this answer right? What are mistakes in my solution?

If $A$ commutes with $A^*A$, does it follow that $A$ is normal?

Does an increasing sequence always have a lower bound?

First attempt to solve a linear mod equation with one possible solution

How to find:$\lim_{x\to 0}\frac{\sin\left(e^{1-\cos^3x}-e^{1-\cos^4x}\right)}{x\arctan x}$

determine if the pair of vector spaces is isomorphic

Prove: a $\mathbb{C}\to\mathbb{C}$-polynomial of degree $>1$ is not injective

Direct sums producing the vector space R->R

If $T$ is normal and given $T$ is invertible, then is $T$ unitary? and Given two unitary operators $U$ and $R$ prove $U^{-1}R$ is also unitary.

find the $4th$ and $5th$ roots of unity

Show that $\int_a^b cf = c \int_a^b f$

Canonical Ramsey theorem in $m$-uniform setting admits $2^m$ canonical colorings.

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