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Non-metric Continua that support Whitney maps
(2009-02-23)
An example of a non-metric continuum is constructed, where every non-degenerate subcontinuum is non-metric, that supports a Whitney
map. Additional non-metric examples are given and examinations of conditions under which ...
Poroelasticity
(2009-02-23)
Poroelasticity is the study of elastic deformation of porous materials saturated with a fluid and the coupling between the fluid pressure and the solid deformation.
Considerable progress has been made in formulating ...
On O-Basis Groups and Generalizations
(2008-09-09)
A class of finite groups which we call o-basis groups is generalized and explored. One
reason for interest in these groups lies with the concept's origins. The notion of o-basis
group arose from the study of the existence, ...
Solving the Inverse Kinematic Robotics Problem: A Comparison Study of the Denavit-Hartenberg Matrix and Groebner Basis Theory
(2008-09-09)
The aim is to analyze two very di®erent methods for solving the inverse kinematic
robotics problem. The ¯rst method, called the Engineering Approach, uses the Denavit-
Hartenberg Matrix, and the second method, called the ...
k-star Decompositions of Lambda-Fold Complete Multipartite Graphs
(2008-09-09)
We examine the problem of k-star decompositions on lambda-fold complete multipartite
graphs. After a brief examination of the computational complexity issues involved, we
present complete proofs for necessary and sufficient ...
Development of Striae Distensae - A Mechanochemical Model
(2008-09-09)
Striae distensae, otherwise known as stretch marks, are common skin lesions found
in a variety of clinical settings. They occur frequently during adolescence or pregnancy
when there is rapid tissue expansion, but may ...
A novel finite element discretization of domains with spheroidal geometry
(2008-09-09)
We describe and analyze a new finite element discretizations for domains with spheroidal
geometry. In particular, we describe how the method can be used to approximate solutions
as well as eigenvalues and eigenfunctions ...
Hamilton Decompositions of Graphs with Primitive Complements
(2008-09-09)
A graph G is a pair (V, E) where V is the set of vertices(or nodes) and E is the set of edges connecting the vertices. A graph is called k-regular, if all of its vertices are incident with k edges. A k-factor of a graph G ...
Disjoint Intersection Problem For Steiner Triple Systems
(2008-09-09)
Let (S, T_1) and (S, T_2) be two Steiner Triple systems on the set S of symbols with the set of triples T_1 and T_2 respectively. They are said to intersect in m blocks if |T_1 intersection T_2| = m. Further, if the blocks ...
Path Curvature on a Convex Roof
(2008-09-09)
Given a set of rectangles, R1 through Rk, where Ri and Ri+1 share a common
edge and these common edges are congruent and parallel to each other. The resulting
”roof” is part of the surface of a convex body. We’ll consider ...