A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In
short, it states that quantum mechanics is in conflict with classical models in which the result …

Computational geometry is concerned with the design and analysis of algorithms for
geometrical problems. In addition, other more practically oriented, areas of computer …

In control theory, complex models of physical processes, such as systems of differential or
difference equations, are usually checked against simple specifications, such as stability …

Our goal is to provide an introduction to the study of minimal energy problems, particularly
from the perspective of generating point configurations that provide useful discretizations of …

Despite the empirical successes of self-supervised learning (SSL) methods, it is unclear
what characteristics of their representations lead to high downstream accuracies. In this …

We present a new descriptor for activity recognition from videos acquired by a depth sensor.
Previous descriptors mostly compute shape and motion features independently; thus, they …

The first interesting array of numbers a typical mathematics student encounters is Pascal's
triangle, shown in Table 1.1. It has many beautiful properties, some of which we will review …

The purpose of this book is to describe the global properties of complete simply connected
spaces that are non-positively curved in the sense of AD Alexandrov and to examine the …

Chapter 1 summarizes fundamental material on monomial ideals. In particular, we consider
the integral closure of monomial ideals, squarefree normally torsionfree ideals, squarefree …

Toric varieties form a beautiful and accessible part of modern algebraic geometry. This book
covers the standard topics in toric geometry; a novel feature is that each of the first nine …