MathOverflow

I have the following conjecture:
Let � ⊂ �^2 be a finite polyomino (a finite, edge‑connected set of unit squares) where each square is represented by an ordered pair (x,y) in Z^2. Can you create a movement pattern for any given polyomino P such that you can always know which square...

The Stieltjes constants are the Laurent coefficients of $\zeta (s)$ $$\zeta (s)=:\frac {1}{s-1}+\sum _{n=1}^\infty \frac {(-1)^n\gamma _n}{n!}(s-1)^n$$ see e.g. https://en.wikipedia.org/wiki/Stieltjes_constants. From the Wikipedia page I gather that...

First of all, let me warn that my knowledge of the correspondence is rather superficial, and I apologize for any technical inaccuracies below.
Setting
Let $X$ be a smooth complex algebraic variety, and $D_X$ the sheaf of differential operators on $X$. A $D$-module on $X$ is a sheaf of $D_X$-modules....

Let $S_n$ be the symmetric group, $\pi\in S_n$ a uniformly random permutation and $L_n:=L_n(\pi)$ denoting the length of the longest increasing subsequence (LIS). We know that $\lim_{n\rightarrow\infty}\frac{E[L_n]}{2\sqrt{n}}=1$. My question is, what...