Decomposing the domain of a function into parts has many uses in mathematics. A domain may naturally be a union of pieces, a function may be defined by cases, or different bounda...
Jacques Carette, Alan P. Sexton, Volker Sorge, Ste...
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...
ESSENCE is a new formal language for specifying combinatorial problems in a manner similar to natural rigorous specifications that use a mixture of natural language and discrete ...
Alan M. Frisch, Matthew Grum, Christopher Jefferso...
Abstract. Essence is a formal language for specifying combinatorial problems, in a manner similar to natural rigorous specifications that use a mixture of natural language and disc...
Alan M. Frisch, Warwick Harvey, Christopher Jeffer...
As more and more genomes are sequenced, evolutionary biologists are becoming increasingly interested in evolution at the level of whole genomes, in scenarios in which the genome ev...
Mark Marron, Krister M. Swenson, Bernard M. E. Mor...