MathOverflow

Let $A =\{a_1<a_2<\dots <a_h\}$, $h\geq 2$ be a set of real numbers. Define $$ g(A):= \max_{1\leq i\leq h-1} (a_{i+1}-a_i) $$ the biggest gap between consecutive members of $A$ and
$$c_n(A):= a_h-a_1- g(nA) $$
where $nA$ denotes the set $A+A+\dots A$ ($n$ times)....

Given an integer sequence $a\colon\mathbb N\to\mathbb N$, we are often interested in the asymptotics of $a_n$ for large $n$. As far as I can tell, it is extremely common to first analytically continue $a\colon\mathbb C\to\mathbb C$, and then use analytic...

My question is motivated by a geometry problem about special folded rectangle:
'A rectangle with sides $a$, $b$ ($a<b$) is folded along the line that passes through the center of the rectangle in order to get the minimum area of crossing intersections: a unique rectangle exists for two solutions with equal area but different...

In computational geometry, the Heritage Lemma (Clarkson and Shor, "Applications of random sampling in computational geometry, II", 1989) provides a conditional independence property for randomised incremental hull construction: when a new hull facet...