No Inv.: 735/P/Perp/97/1c
This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry. It focuses on the geometry of spaces of rational curves, with an emphasis on applications to arithmetic questions. Classically, arithmetic is the study of rational or integral solutions of diophantine equations and geometry is the study of lines …
No Inv.: 3616-3625/P/Perp/97/10c
People, problems, and proofs are the lifeblood of theoretical computer science. Behind the computing devices and applications that have transformed our lives are clever algorithms, and for every worthwhile algorithm there is a problem that it solves and a proof that it works. Before this proof there was an open problem: can one create an efficient algorithm to solve the computational problem? A…
No Inv.: 2567-2576/P/Perp/97/10c
No Inv.: 2297-2306/P/Perp/97/10c
No Inv.: 3057-3066/P/Perp/97/10c
No Inv.: 1106-1115/P/Perp/97/10c
No Inv.: 1192-1201/P/Perp/97/10c
Introduction to Global Optimization Exploiting Space-Filling Curves provides an overview of classical and new results pertaining to the usage of space-filling curves in global optimization. The authors look at a family of derivative-free numerical algorithms applying space-filling curves to reduce the dimensionality of the global optimization problem; along with a number of unconventional idea…