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Full-Text Articles in Physical Sciences and Mathematics

Qualitative Behavior Of Solutions To Differential Equations In RN And In Hilbert Space, Qian Dong May 2009

Qualitative Behavior Of Solutions To Differential Equations In RN And In Hilbert Space, Qian Dong

Masters Theses & Specialist Projects

The qualitative behavior of solutions of differential equations mainly addresses the various questions arising in the study of the long run behavior of solutions. The contents of this thesis are related to three of the major problems of the qualitative theory, namely the stability, the boundedness and the periodicity of the solution. Learning the qualitative behavior of such solutions is crucial part of the theory of differential equations. It is important to know if a solution is bounded or unbounded or if a solution is stable. Moreover, the periodicity of a solution is also of great significance for practical purposes.


A Framework For Consistency Based Feature Selection, Pengpeng Lin May 2009

A Framework For Consistency Based Feature Selection, Pengpeng Lin

Masters Theses & Specialist Projects

Feature selection is an effective technique in reducing the dimensionality of features in many applications where datasets involve hundreds or thousands of features. The objective of feature selection is to find an optimal subset of relevant features such that the feature size is reduced and understandability of a learning process is improved without significantly decreasing the overall accuracy and applicability. This thesis focuses on the consistency measure where a feature subset is consistent if there exists a set of instances of length more than two with the same feature values and the same class labels. This thesis introduces a new …


On The Breadth Of The Jones Polynomial For Certain Classes Of Knots And Links, Cody Lorton May 2009

On The Breadth Of The Jones Polynomial For Certain Classes Of Knots And Links, Cody Lorton

Masters Theses & Specialist Projects

The problem of finding the crossing number of an arbitrary knot or link is a hard problem in general. Only for very special classes of knots and links can we solve this problem. Often we can only hope to find a lower bound on the crossing number Cr(K) of a knot or a link K by computing the Jones polynomial of K, V(K). The crossing number Cr(K) is bounded from below by the difference between the greatest degree and the smallest degree of the polynomial V(K). However the computation of the Jones polynomial of an arbitrary knot or link is …


Fractional Calculus: Definitions And Applications, Joseph M. Kimeu Apr 2009

Fractional Calculus: Definitions And Applications, Joseph M. Kimeu

Masters Theses & Specialist Projects

No abstract provided.