Question

If $f=\prod_{k=1}^m f_k$ in $L[X]$ show that there is an automorphism in $L$ such that $f_k^{\sigma }=f_j$

score 37 · Answer 1 · 2026-05-16 03:53:29

37

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If $f=\prod_{k=1}^m f_k$ in $L[X]$ show that there is an automorphism in $L$ such that $f_k^{\sigma }=f_j$

Published on 16 May 2026 - 3:53

score 66 · Answer 2 · 2026-04-13 06:49:28

66

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Show that $(\lambda, \theta)$ is a smooth coordinate map for the sphere $\mathbb{S}^2$

Published on 13 Apr 2026 - 6:49

score 58 · Answer 3 · 2026-04-14 20:06:29

58

Views

solution verification of $\lim_{n\to\infty}\left(\prod_{k=0}^n \frac{2n+2k}{2n+2k+1}\right)$

Published on 14 Apr 2026 - 20:06

score 69 · Answer 4 · 2026-04-15 19:15:26

69

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Let $f(x) = x\ln(x)+{1 \over x}\sin(x^3)$. Prove/disprove: $f(x)$ is uniformly continuous in: $(0, \infty)$ and $(0,20)$.

Published on 15 Apr 2026 - 19:15

score 76 · Answer 5 · 2026-03-25 20:39:48

76

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Additive Combinatorics: Dyson's transform

Published on 25 Mar 2026 - 20:39

score 111 · Answer 6 · 2026-04-15 22:11:22

111

Views

number of green and red edge colorings on a complete graph such that there's at least one triangle with $2$ green sides and $1$ red side

Published on 15 Apr 2026 - 22:11

score 65 · Answer 7 · 2026-04-18 03:02:38

65

Views

Prove $\limsup_{n \to \infty}(a_nb_n)$ = a $\cdot \limsup_{n \to \infty}b_n$.

Published on 18 Apr 2026 - 3:02

score 139 · Answer 8 · 2026-04-10 17:37:18

139

Views

Proof that not every number can be named

Published on 10 Apr 2026 - 17:37

score 67 · Answer 9 · 2026-04-12 08:37:07

67

Views

Inclusion of $|.|$ in the Chebyshev inequality

Published on 12 Apr 2026 - 8:37

score 167 · Answer 10 · 2026-04-09 04:01:02

167

Views

Problems in finding the marginal distribution

Published on 09 Apr 2026 - 4:01

score 139 · Answer 11 · 2026-04-14 15:33:01

139

Views

Proving that the union of two subspaces is not, in general, a subspace

Published on 14 Apr 2026 - 15:33

score 52 · Answer 12 · 2026-04-10 10:07:59

52

Views

Questions on the construction of a stochastic model

Published on 10 Apr 2026 - 10:07

score 90 · Answer 13 · 2026-04-14 01:56:33

90

Views

No analytic function can satisfy $|f(z)|\ge \frac{1}{\sqrt{|z|}}$ for all $z\ne 0$.

Published on 14 Apr 2026 - 1:56

score 47 · Answer 14 · 2026-04-09 00:24:11

47

Views

Solutions verification on a problem about probability

Published on 09 Apr 2026 - 0:24

score 40 · Answer 15 · 2026-04-11 14:56:18

40

Views

Stability of the Trapezoidal method for solving IVPs (Proof verification)

Published on 11 Apr 2026 - 14:56

List Question

If $f=\prod_{k=1}^m f_k$ in $L[X]$ show that there is an automorphism in $L$ such that $f_k^{\sigma }=f_j$

Show that $(\lambda, \theta)$ is a smooth coordinate map for the sphere $\mathbb{S}^2$

solution verification of $\lim_{n\to\infty}\left(\prod_{k=0}^n \frac{2n+2k}{2n+2k+1}\right)$

Let $f(x) = x\ln(x)+{1 \over x}\sin(x^3)$. Prove/disprove: $f(x)$ is uniformly continuous in: $(0, \infty)$ and $(0,20)$.

Additive Combinatorics: Dyson's transform

number of green and red edge colorings on a complete graph such that there's at least one triangle with $2$ green sides and $1$ red side

Prove $\limsup_{n \to \infty}(a_nb_n)$ = a $\cdot \limsup_{n \to \infty}b_n$.

Proof that not every number can be named

Inclusion of $|.|$ in the Chebyshev inequality

Problems in finding the marginal distribution

Proving that the union of two subspaces is not, in general, a subspace

Questions on the construction of a stochastic model

No analytic function can satisfy $|f(z)|\ge \frac{1}{\sqrt{|z|}}$ for all $z\ne 0$.

Solutions verification on a problem about probability

Stability of the Trapezoidal method for solving IVPs (Proof verification)

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