In this thesis we develop a theory of Fourier analysis and fast Fourier transforms (FFTs) for finite inverse semigroups. Our results generalize results in the theory of Fourier analysis for finite groups. There is a general method for generating...
Nanoparticles have made significant advances in recent years in the realm of cancer therapy. These nanoparticles typically range in size from 10-250nm in diameter, allowing for differential systemic-based biodistribution. The enhanced permeability...
Polynomials. Finite fields (Algebra). Algebraic functions. Number theory.
The ring of univariate polynomials over a finite field shares many foundational arithmetic properties with the ring of rational integers. This similarity makes it possible for many problems in elementary number theory to be translated 'through the...
The main driving force behind the development of computers was the attempt to solve problems that would otherwise require a large amount of time to be solved. Despite the technological development that has made computers ubiquitous in daily lives,...
Genes at the mammalian Î²-globin loci are arranged in the order of their developmental activation. Expression of individual genes at this locus is controlled by gene proximal and distal cis -regulatory elements. This thesis focused on the function...
Part 1 . A computational study targeting the lowest energy structure, electronic state and physical properties of small carbon clusters containing one or two heteroatoms has been done. The structural properties sought included whether the most...