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Will R's user avatar
Will R's user avatar
Will R's user avatar
Will R
  • Member for 8 years, 10 months
  • Last seen this week
17 votes
2 answers
2k views

Does there exist a complex function which is differentiable at one point and nowhere else continuous?

11 votes
3 answers
1k views

A reason for the value of $\int_{0}^{1}\log{(x)}\log{(1-x)}\,\mathrm{d}x$

10 votes
2 answers
167 views

How big can $U\subset\mathbb{C}$ be if there exists a non-constant holomorphic $f\colon U\to\mathbb{C}$ with $2f(2z)=f(z)+f(z+1)?$

5 votes
3 answers
628 views

If $\lim_{x\to\infty}f(x)$ and $\lim_{x\to\infty}f^{\prime}(x)$ both exist, then $\lim_{x\to\infty}f^{\prime}(x) = 0$

3 votes
1 answer
1k views

Are $I\otimes_{R}J$ and $IJ$ isomorphic as $R$-modules? [duplicate]

3 votes
1 answer
75 views

Computation of $\Phi(T,[\gamma])$ in a paper of Poonen and Rodriguez-Villegas

2 votes
0 answers
29 views

When is it true that $(R[t]/f(t))[u]/(g(u))\cong R[t,u]/(f(t),g(u))$?

2 votes
1 answer
189 views

Proving that $\mathbb{P}^{n}(\mathbb{C})$ is homeomorphic to $S^{2n+1}/S^{1}$

2 votes
2 answers
399 views

Spivak's 'Calculus', 5-21(b): Is there an easier/shorter way?

2 votes
2 answers
167 views

If $f:[a,b]\to\mathbb{R}$ is continuous but unbounded, then on which subintervals is $f$ unbounded?

1 vote
1 answer
413 views

The set of points in $\Omega$ which belong to exactly $k$ events is an event

1 vote
1 answer
40 views

If two plane lattices scale to contain each other, then are they equal?

1 vote
1 answer
135 views

If every subring of $S$ containing $v\in S$ is ring-finite over $R,$ is $v$ necessarily integral over $R$?

0 votes
1 answer
78 views

If $\nabla_{p}f(v)$ is the directional derivative of $f$ at $v$ in the direction of $p,$ then what is $(\nabla_{\bullet}f)(v)?$