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Now showing items 21-30 of 56
Uniform Weighted Compact / Non-compact Schemes For Shock / Boundary Layer Interaction
(Mathematics, 2008-08-08)
The critical problem of CFD is perhaps an accurate approximation of derivatives for a given discrete data set. Based on our previous work on the weighted compact scheme (WCS), a uniform weighted compact / non-compact scheme ...
SENDing MORE MONEY in any base
(Mathematical Association of America, 2006)
One of the most significant conceptual jumps involved in algebra is the use
of letters (and other symbols) to represent numbers. One way to get students
used to this notion is via puzzles. This paper describes a ...
The Uniqueness Of Minimal Acyclic Complexes
(Mathematics, 2009-09-16)
In this paper, we discuss conditions for uniqueness among minimal acyclic complexes of finitely generated free modules over a commutative local ring which share a common syzygy module. Although such uniqueness occurs over ...
On Progenitively Koszul Commutative Rings
(Mathematics, 2008-04-22)
This paper introduces and identifies classes of progenitively Koszul rings. A progenitively Koszul ring is a commutative ring that admits a Koszul complex A=K(R) that is formal, and such that the homology algebra H(A) ...
On The Image Of The Totalling Functor
(Mathematics, 2007-08-23)
Let A denote a DG algebra and k a field. The totalling functor, from the category of chain complexes over the graded A-modules to the catagory of DG modules over A, can be extended to one between their derived categories. ...
On a New Mathematical Model of the Molecular Bond
(University of Texas at Arlington, 2001-05)
**Please note that the full text is embargoed** ABSTRACT: Using a new model of the molecular bond, we produce a set of initial conditions for the ground state H2 molecule which yield, over one complete period, bond length ...
Discrete Spring Solitons
(University of Texas at Arlington, 2001-05)
**Please note that the full text is embargoed** ABSTRACT: A soliton is a local, traveling wave pulse. It is significant in a variety of unrelated areas, like studies of water waves, acoustic waves, electron transfer, gravity ...
A Geometric Inequality for Convex Polygons
(University of Texas at Arlington, 2001-05)
**Please note that the full text is embargoed** ABSTRACT: Consider a regular polygon with vertices P1, P2, , Pn. Assume P
is an interior point. Let [see pdf for notation] denote the Euclidean distance from P to Pi, i = ...
Minkowski's Inequality for Convex Curves
(University of Texas at Arlington, 2001-05)
**Please note that the full text is embargoed** ABSTRACT: Minkowski's inequality is a relation between mixed areas of two curves and their respective areas. The concept of mixed area is defined. A variational technique is ...
Geometrical Problems in Engineering Mechanics
(University of Texas at Arlington, 2005-11)
**Please note that the full text is embargoed** ABSTRACT: Four problems in two dimensional geometry are presented, which are applicable to education of the basic courses, statics. These problems represent geometrical ...