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math maniac.
  • Member for 5 years, 6 months
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8 votes
1 answer
236 views

Prove that $\mu^* (F \setminus E) = 0.$

6 votes
1 answer
812 views

Isn't the Lebesgue measure space complete?

5 votes
2 answers
159 views

Find the cardinality of the image of $\varphi.$

5 votes
1 answer
174 views

What can be said about the sum of the series?

5 votes
3 answers
141 views

Prove that $T(v) = v,$ for some $v \in \Bbb R^3 \setminus \{0\}.$

4 votes
1 answer
101 views

Is $(A+B)$ necessarily singular?

4 votes
2 answers
1k views

Show that the sequence of functions $\{f_n\}$ is not uniformly convergent on $\Bbb R.$

4 votes
3 answers
410 views

Isn't $I$ a maximal ideal in $\Bbb Z_{11} [X]$?

3 votes
0 answers
75 views

Prove that $\ell^p$ is complete.

3 votes
2 answers
464 views

What is meant by the absolute convergence of the infinite product $\prod\limits_{n=1}^{\infty} \frac {1} {1+a_n}$?

3 votes
3 answers
3k views

Who has more probability of winning the game?

3 votes
1 answer
5k views

Eigenvalues of a real orthogonal matrix.

3 votes
1 answer
168 views

How to extend Euler's identity regarding partition on the unit disk?

3 votes
2 answers
211 views

Problem in solving an inequality.

3 votes
2 answers
86 views

Prove that $\chi_y = \prod\limits_{\sigma \in G} \left (X-\sigma(y) \right ).$

3 votes
1 answer
94 views

Is it necessarily true that $\lim\limits_{x \rightarrow \infty} f(x) = 0$?

3 votes
3 answers
902 views

Why is the directional derivative zero at any point of the level curve along the direction of the tangent line to the level curve at that point?

2 votes
1 answer
43 views

What is $\|g\|_{\text {op}}$?

2 votes
1 answer
655 views

Finding the order of the product of disjoint cycles in $S_n$.

2 votes
2 answers
71 views

Show that $E_1$ is algebraic over $K.$

2 votes
0 answers
47 views

Can $L|K$ be a Galois extension if $\text {Fix}_{G}\ (L) = K$?

2 votes
0 answers
57 views

Is $\Bbb K^n$ a $\Bbb K$-algebra?

2 votes
0 answers
599 views

An example of a field extension which is not Galois.

2 votes
0 answers
39 views

How does $[M:K] = \#\ \text {Gal} \left (M|K \right)$?

2 votes
0 answers
62 views

Why does $\langle \bar a \rangle \cap \overline K = \{\bar e \}$?

2 votes
4 answers
398 views

Solve the equation $x^{x^5} = 5$ over $\Bbb R.$

2 votes
1 answer
102 views

Any finite subgroup of a multiplicative group of a field is cyclic.

2 votes
1 answer
118 views

For any prime number $p$ and $m \in \Bbb N$ there exists a field of cardinality $p^m.$

2 votes
1 answer
212 views

Prove that $u-i$ is a maximal ideal of $\frac {\Bbb C[X,Y]} {\left (X^2+Y^2-1 \right )}.$

2 votes
0 answers
274 views

Recurrence relation for partition function for pentagonal numbers.

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