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The Complexity Of Linear Algebra, Leann Kay Christensen Jan 2013

The Complexity Of Linear Algebra, Leann Kay Christensen

Theses Digitization Project

This study examines the complexity of linear algebra. Complexity means how much work, or the number of calculations or time it takes to perform a task. As linear algebra is used more and more in different fields, it becomes useful to study ways of reducing the amount of work required to complete basic procedures.


An Algorithm For Facial Expression Recognition To Assist Handicapped Individuals With Eating Disabilities, Anthony Rudolph De La Loza Jan 2011

An Algorithm For Facial Expression Recognition To Assist Handicapped Individuals With Eating Disabilities, Anthony Rudolph De La Loza

Theses Digitization Project

The purpose of this thesis is to describe an algorithm and implement a software system based upon facial expression recognition that will accurately determine the specific need of a handicapped individual pertaining to the eating process. Then based upon that need, determine the appropriate action that should be executed. This thesis aims to present a solution to allow a special needs individual to eat more efficienty and foster independence, while providing a platform for further research in the area of feature detection to assist individuals with special needs.


Comparative Analysis Of Expected Utility Theory Versus Prospect Theory And Critique Of Their Recent Developments, Sassan Sadeghi Jan 2011

Comparative Analysis Of Expected Utility Theory Versus Prospect Theory And Critique Of Their Recent Developments, Sassan Sadeghi

Theses Digitization Project

This study is an investigation of the decision making theories, their developments, and especially, their applications. After locating the two rivals, the Expected Utility Theory (EUT) and the Prospect Theory (PT), within the general context of decision making situations, it compares their main features and examines the PT extensions.


Snort: A Combinatorial Game, Keiko Kakihara Jan 2010

Snort: A Combinatorial Game, Keiko Kakihara

Theses Digitization Project

This paper focuses on the game Snort, which is a combinatorial game on graphs. This paper will explore the characteristics of opposability through examples. More fully, we obtain some neccessary conditions for a graph to be opposable. Since an opposable graph guarantees a second player win, we examine graphs that result in a first player win.


The Evolution Of Equation-Solving: Linear, Quadratic, And Cubic, Annabelle Louise Porter Jan 2006

The Evolution Of Equation-Solving: Linear, Quadratic, And Cubic, Annabelle Louise Porter

Theses Digitization Project

This paper is intended as a professional developmental tool to help secondary algebra teachers understand the concepts underlying the algorithms we use, how these algorithms developed, and why they work. It uses a historical perspective to highlight many of the concepts underlying modern equation solving.


Symmetric Representations Of Elements Of Finite Groups, Abeir Mikhail Kasouha Jan 2004

Symmetric Representations Of Elements Of Finite Groups, Abeir Mikhail Kasouha

Theses Digitization Project

This thesis demonstrates an alternative, concise but informative, method for representing group elements, which will prove particularly useful for the sporadic groups. It explains the theory behind symmetric presentations, and describes the algorithm for working with elements represented in this manner.


The Embedding Of Complete Bipartite Graphs Onto Grids With A Minimum Grid Cutwidth, Mário Rocha Jan 2003

The Embedding Of Complete Bipartite Graphs Onto Grids With A Minimum Grid Cutwidth, Mário Rocha

Theses Digitization Project

Algorithms will be domonstrated for how to embed complete bipartite graphs onto 2xn type grids, where the imimum grid cutwidth is attained.


Fundamental Theorem Of Algebra, Paul Shibalovich Jan 2002

Fundamental Theorem Of Algebra, Paul Shibalovich

Theses Digitization Project

The fundamental theorem of algebra (FTA) is an important theorem in algebra. This theorem asserts that the complex field is algebracially closed. This thesis will include historical research of proofs of the fundamental theorem of algebra and provide information about the first proof given by Gauss of the theorem and the time when it was proved.


Neural Computation Of All Eigenpairs Of A Matrix With Real Eigenvalues, Serafim Theodore Perlepes Jan 1999

Neural Computation Of All Eigenpairs Of A Matrix With Real Eigenvalues, Serafim Theodore Perlepes

Theses Digitization Project

No abstract provided.


Torus Routing In The Presence Of Multicasts, Hiroki Ishibashi Jan 1996

Torus Routing In The Presence Of Multicasts, Hiroki Ishibashi

Theses Digitization Project

No abstract provided.