We study in this paper polarized infinite exponent partition relations. We apply our results to constructing a model for the theory ``ZF+DC+ω 1 is the only regular, uncountable cardinal ≤ ω ω 1+1.''.

Calculus has provided humanity a window into the inner workings of the world around us since the fateful day Isaac Newton got conked by a falling apple. But we've only ever really applied these ...

Though calculus is a notoriously difficult and abstract area of mathematics, its applications form the basis for much of modern technology, science and engineering. Prof. Steven Strogatz, applied ...

Motivated by queues with multitype servers and multitype customers, we consider an infinite sequence of items of types C = {c₁,..., C i }, and another infinite sequence of items of types S = {s₁ ..., ...

Though calculus is a notoriously difficult and abstract area of mathematics, its applications form the basis for much of modern technology, science and engineering. Prof. Steven Strogatz, applied ...