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Articles 1 - 5 of 5
Full-Text Articles in Physical Sciences and Mathematics
On Coherence And The Geometry Of Certain Families Of Lattices, David Booth Kogan
On Coherence And The Geometry Of Certain Families Of Lattices, David Booth Kogan
CGU Theses & Dissertations
The coherence of a lattice is, roughly speaking, a measure of non-orthogonality of its minimal vectors. It was introduced to lattices (by analogy with frame theory) by L. Fukshansky and others as a possible route to gaining insight into packing density, a central problem in lattice theory. In this work, we introduce the related measure of average coherence, explore connections between packing density and coherence, and prove several properties of certain families of lattices, most notably nearly orthogonal lattices, cyclotomic lattices, and cyclic lattices.
On Multiplication Groups Of Quasigroups, Ahmed Al Fares
On Multiplication Groups Of Quasigroups, Ahmed Al Fares
CGU Theses & Dissertations
Quasigroups are algebraic structures in which divisibility is always defined. In this thesis we investigate quasigroups using a group-theoretic approach. We first construct a family of quasigroups which behave in a group-like fashion. We then focus on the multiplication groups of quasigroups, which have first appeared in the work of A. A. Albert. These permutation groups allow us to study quasigroups using group theory. We also explore how certain natural operations on quasigroups affect the associated multiplication groups. Along the way we take the time and special care to pose specific questions that may lead to further work in the …
A Framework For And Design Of A Smart Academic Building Using Sensors, Citizen Participation, And Volunteered Geographic Information, Neelam Raigangar
A Framework For And Design Of A Smart Academic Building Using Sensors, Citizen Participation, And Volunteered Geographic Information, Neelam Raigangar
CGU Theses & Dissertations
Population growth and migration patterns have shown an influx of residents from rural to urban environments. To deal with the problems caused by unprecedented urban influx, cities should plan to use technology in a smart and distinctive way. Tackling at the city scale is hard. But a set of smart buildings that are interconnected by technology will lead to smarter communities which are then interconnected to create a smart city. Smart lobby, building, community, or city is distinguished by its application of integrated software, hardware, and network technologies, along with access to real-time data enabling decision-making, facilitating tracing, tracking and …
Data-Driven Methods For Low-Energy Nuclear Theory, Jordan M.R. Fox
Data-Driven Methods For Low-Energy Nuclear Theory, Jordan M.R. Fox
CGU Theses & Dissertations
The term data-driven describes computational methods for numerical problem solvingwhich have been developed by the field of data science; these are at the intersection of computer science,mathematics, and statistics. When applied to a domain science like nuclear physics, especially with the goalof deepening scientific insight, data-driven methods form a core pillar of the computational science endeavor.In this dissertation I explore two problems related to theoretical nuclear physics: one in the framework of numerical statistics, and the other in the framework of machine learning. I) Historically our understanding of the structure of the atomic nucleus, the quantum many-body problem, has been …
An Exponential Formula For Random Variables Generated By Multiple Brownian Motions, Maximilian Lawrence Baroi
An Exponential Formula For Random Variables Generated By Multiple Brownian Motions, Maximilian Lawrence Baroi
CGU Theses & Dissertations
The frozen operator has been used to develop Dyson-series like representations for random variables generated by classical Brownian motion, Lévy processes and fractional Brownian with Hurst index greater than 1/2.The relationship between the conditional expectation of a random variable (or fractional conditional expectation in the case of fractional Brownian motion)and that variable's Dyson-series like representation is the exponential formula. These results had not yet been extended to either fractional Brownian motion with Hurst index less than 1/2, or d-dimensional Brownian motion. The former is still out of reach, but we hope our review of stochastic integration for fractional Brownian motion …