Set theory, the mathematical study of collections of objects, forms a foundation for much of modern mathematics, while cardinal functions provide a means to quantify the sizes of these sets, ...

A key fact in the theory of Boolean functions f: {0, 1}n → {0, 1} is that they often undergo sharp thresholds. For example, if the function f: {0, 1}n → {0, 1} is monotone and symmetric under a ...

Generalized functions, often formulated as distributions, have become indispensable in the rigorous mathematical formulation of quantum field theory (QFT). These constructs extend the classical notion ...

A Platonistic set theory with a universal set, CUSɩ, in the spirit of Alonzo Church's "Set Theory with a Universal Set," is presented; this theory uses a different sequence of restricted equivalence ...

Athabasca University’s Bachelor of Professional Arts, Communication Studies Major is an online degree program that brings together your real-world knowledge and experience with theory and research ...

The School of Communication has an international reputation for critical scholarship on urgent social and political problems affecting contemporary societies, locally and globally. We offer graduate ...