In the past few decades, multi-linear algebra also known as tensor algebra has been adapted and employed as a tool for various engineering applications. Recent developments in tensor algebra have ...

With the recent explosion in the amount, the variety, and the dimensionality of available data, identifying, extracting, and exploiting their underlying structure has become a problem of fundamental ...

In the early 1980s, it was discovered that alternating sign matrices (ASMs), which are also commonly encountered in statistical mechanics, are counted by the same numbers as two classes of plane ...

Robert Granger holds an MSci from the School of Mathematics, University of Bristol (2002) and a PhD from the Department of Computer Science, University of Bristol (2006). He has held postdoctoral ...

In this paper, we show that the algebra of permutation group is one of the inherent structures of reversible logic for quantum computation. In this venture, we discuss necessary properties of cycle ...

Math 307 is a theoretical course in linear algebra, geared primarily for students majoring in mathematics, mathematics and physics, and applied mathematics. (Although everyone is welcome, if you're ...

I mentioned in my intro that as wonderful as n n-categories are, they’re really just one (important) part of the zoo of “higher categorical structures” out there. Today I want to tell you about ...

This is an implementation of the MD5 hash function, as specified by RFC 1321, in pure Python. It was implemented using Bruce Schneier's excellent book "Applied Cryptography", 2nd ed., 1996.