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Darae-Uri
  • Member for 9 years, 5 months
  • Last seen more than 5 years ago
6 votes
1 answer
427 views

For differentiable functions $f,g$, $\nabla f(x)=g(x)x$. Then $f$ is constant on S.

5 votes
3 answers
301 views

How can I show that $G$ is non abelian of order 20?

5 votes
2 answers
2k views

Characterisation of limit points of subsets of Hausdorff spaces

4 votes
1 answer
3k views

$Aut(G)$ is abelian if and only if $G$ is cyclic. [duplicate]

4 votes
1 answer
2k views

A group-ring is commutative if and only if that group is abelian

3 votes
1 answer
5k views

$G\oplus H$ is cyclic iff finite groups $G$ and $H$ are cyclic and $\gcd(|G|,|H|)=1$

3 votes
3 answers
5k views

Show that $R_P$ has a unique maximal ideal

3 votes
1 answer
107 views

Exercise from mathematical Logic about length of sentences in SL

3 votes
1 answer
178 views

How to show $T=\{\forall x(x\neq S^{n}x)|1\leq n\}\cup\{\sigma\}$ in $\mathcal{L}=\{S\}$ is $\kappa$-categorical

3 votes
1 answer
96 views

What is the automorphism on $\mathbb R$ which maps $\pi$ to $-\pi$?

2 votes
0 answers
219 views

Find the orbits of the action of $\mathrm{Aut}(G)$ on $G$.

2 votes
1 answer
2k views

What is area form?

2 votes
1 answer
237 views

List out all the definable set in given model

2 votes
1 answer
74 views

How to prove UG is sound?

2 votes
1 answer
399 views

Simple exercise in differential geometry

2 votes
1 answer
40 views

Simple calculation of integration

2 votes
1 answer
3k views

Formula for composition of pull back

2 votes
0 answers
76 views

Show that $(\mathbb{Z}\oplus\mathbb{Z})[x]$ is not isomorphic to $\mathbb{Z}[x]\oplus\mathbb{Z}[x] $ . [duplicate]

2 votes
1 answer
397 views

$Df(x_0)$ is nonzero $\Rightarrow $invertible. What about the reverse?

2 votes
0 answers
43 views

Taylor's Theorem for a function whose domain is $\mathbb R^n$

1 vote
1 answer
519 views

Determining the number and order of all cyclic subgroup $Z_5 \oplus Z_{15}$

1 vote
0 answers
204 views

How to prove Rouche's theorem in $\mathbb R^2$

1 vote
3 answers
126 views

How to show that for any $r>0$ , $\lim_{n\rightarrow\infty}\int_{\mathbb{R}\backslash[-r,r]}\sqrt{\frac{n}{\pi}}e^{-nx^{2}}=0 $

1 vote
1 answer
160 views

Uniform convergence of $\sum_{n=1}^{\infty}x^{n}/n^{2}$

1 vote
1 answer
119 views

how to show that $n^k x^n$ is convergent?

1 vote
0 answers
229 views

How to show that F is recursive?

1 vote
1 answer
175 views

How to show that there is a deduction of $\varphi\leftrightarrow\psi$

1 vote
1 answer
7k views

Proving $k^{m+l} = k^m k^l$ by constructing a bijective function F : $ ^MK \times ^LK \to ^{L\bigcup M}K $

1 vote
4 answers
101 views

How to show that $f_{n}(x)=\frac{x^{2}}{x^{2}+(1-nx)^{2}},\,0\leq x\leq1 $ is not uniformly convergent

1 vote
1 answer
293 views

Automorphism for definable set [duplicate]