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6 votes
1 answer
307 views

Maurice Frechet's 1904 Definitions of Compactness

6 votes
2 answers
131 views

Putting objects in a line.

5 votes
2 answers
264 views

Is this Harmonic Polynomial Identically Zero?

4 votes
2 answers
70 views

What is the module structure here?

4 votes
2 answers
79 views

How can I show that this sequence of integrals tends to the value $\infty$?

4 votes
1 answer
88 views

Modeling particles moving through a chamber

4 votes
1 answer
209 views

Distance between two particles traveling the same curve

4 votes
0 answers
179 views

Show that $f * F$ is locally integrable

3 votes
1 answer
139 views

If $f$ is a polynomial and $g(n+1)-g(n)=f(n)$, then $g$ is a polynomial. [closed]

3 votes
0 answers
79 views

Gradient of a function $f \colon L^2[0, 1] \rightarrow \mathbb{R}$.

3 votes
2 answers
772 views

Formula for the greatest common divisor of two odd numbers

3 votes
2 answers
67 views

How can I verify the image and and the fibers of this map?

3 votes
0 answers
2k views

What happens when the determinant of the Jacobian is zero?

3 votes
2 answers
687 views

Every commutative subring is contained in a maximal commutative subring.

3 votes
1 answer
530 views

The Galois closure

3 votes
1 answer
730 views

To what extent is a function that is analytic on the unit disk determined by its boundary values?

2 votes
1 answer
52 views

Is this function part of the Galois group?

2 votes
1 answer
438 views

Banach spaces: Convergence in terms of the Schauder basis.

2 votes
1 answer
49 views

Rank of a Holomorphism

2 votes
1 answer
81 views

Why is this proof incorrect? (Group Theory)

2 votes
2 answers
60 views

If a field element is simultaneously an $m$th and $n$th power... [closed]

1 vote
1 answer
141 views

Does the splitting field of an irreducible polynomial contain all extensions over which the polynomial factors?

1 vote
1 answer
82 views

Is there a rational function $f$ satisfying $f(x) =f\left( \frac{1}{1-x} \right)$ for all $x$?

1 vote
1 answer
172 views

How does one compute quotients of $\Bbb Z$-modules?

1 vote
2 answers
58 views

What is $(1 + O(h))^{-1}$?

1 vote
1 answer
247 views

Fréchet derivative of a map from $\mathbb{R} \rightarrow L^2(\mathbb{R})$

1 vote
1 answer
36 views

Can I find a Galois extension which contains a finite set of algebraic elements?

1 vote
1 answer
117 views

What does it mean to vanish at infinity faster than any power of $|x|$?

1 vote
1 answer
29 views

Find a sequence $a_f(k)$ so that $\sum_{k=1}^\infty a_f(k) \operatorname{sinc} (\pi k f) = 0$.

1 vote
1 answer
63 views

Is a vector field a closed map?