Random fields are frequently used in computational simulations of real-life processes. In particular, in this work they are used in modeling of flow and transport in porous media. Porous media as they arise in geological ...

A fundamental question related to any Lie algebra is to know its subalgebras. This is particularly true in the case of E6, an algebra which seems just large enough to contain the algebras which describe the fundamental ...

Quantization is a non-linear operation of converting a continuous signal into a discrete one, assuming a finite number of levels N. A study is made of the quantization procedure, starting from the year 1898 to the pre ...

In this thesis we investigate the extension of certain theorems of additive number theory to three algebraic systems. A generalization of a theorem by Cauchy and Davenport on the cardinality of the sum of two sets of ...

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A general theory of micromorphic materials was developed by Eringen for the prediction of continuum behavior of materials with inner structure, such as, granular solids, composite materials, anisotropic and polymeric ...

For cell-like upper semicontinuous(usc) decompositions G of finite dimensional manifolds M, the decomposition space M/G turns out to be an ANR provided M/G is finite dimensional ([Dav07], page 129 ). Furthermore, if M/G ...

Topological results are applied to boundary value problems modeling nonlinear beams and dry friction. A classical continuation theorem is used to prove existence results for nonlinear beams. Unified proofs, where possi ...

First, topological vector spaces are examined from a partial order structure derived from neighborhood bases of the origin. This structure is used to produce a minimal vector norm for every Hausdorff locally convex sp ...

This dissertation arose out of an awareness of difficulties undergraduate linear algebra students encounter when solving linear algebra problems from novel, non-isomorphic settings, even when the problems could be solved ...