Pantelis Sopasakis
Reputation
1,130
Top tag
Next privilege 2,000 Rep.
6 22
Impact
~16k people reached

 3 $\phi(x) := \tan({\frac{\|x\|\pi}{2\epsilon}})\frac{x}{\|x\|}$ is defined on the open ball $B_{\epsilon}(0) \subset \mathbb{R}^n$? 3 Is distance function defined on a convex set is always convex? 3 What are some modern books on Markov Chains with plenty of good exercises? 3 Find a sequence $a_n$ such that $\lim_{n \to \infty}|a_{n+1} - a_n | = 0$ while the sequence does not converge 3 Is the set $\{\{1\},\emptyset\}$ a subset of $\{\{1\}\}$?

### Reputation (1,130)

 +10 Proximal operator of the sum of two norms +10 How many times can strictly convex functions intersect? +2 How many times can strictly convex functions intersect? +2 Proving function is convex argmin

### Questions (25)

 11 Number of roots of $x^a-1=0$ with $a \in \mathbb{C}$ 11 Measure-driven differential equations 5 Pretty lower bound on the gamma function 5 Continuity of $f\circ f \circ \cdots$ 5 On the derivative along the trajectories of a dynamical system

### Tags (64)

 8 measure-theory × 10 5 probability-theory × 3 7 real-analysis × 8 5 metric-spaces × 2 7 general-topology × 7 3 analysis × 11 6 optimization × 5 3 convex-optimization × 6 5 convex-analysis × 12 3 probability × 5

### Accounts (16)

 Mathematics 1,130 rep 622 English Language & Usage 991 rep 11017 Stack Overflow 972 rep 21031 Philosophy 316 rep 111 Area 51 151 rep 1