Now showing items 51-60 of 105
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New constructions of strongly regular graphs
There are many open problems concerning strongly regular graphs: proving non-existence for parameters where none are known; proving existence for parameters where none are known; constructing more parameters where examples ...
General model-based decomposition framework for polarimetric SAR images
Polarimetric synthetic aperture radars emit a signal and measure the magnitude, phase, and polarization of the return. Polarimetric decompositions are used to extract physically meaningful attributes of the scatterers. Of ...
Group of the Mondello BLT-sets, The
Author(s):Nelson, Eric M.
A BLT-set is a set of (q+1) points of a Q(4,q) parabolic quadric with a collinearity condition. There are many infinite families of BLT-sets, all of which have had their stabilizers computed except for the Mondello BLT-sets ...
Weak Galerkin finite element methods for the Darcy equation
The Darcy equation models pressure-driven flow in porous media. Because of the importance of ground water flow in oil recovery and waste mitigation, several types of numerical methods have been developed for solving the ...
Improved stick number upper bounds
Author(s):Eddy, Thomas D.
A stick knot is a mathematical knot formed by a chain of straight line segments. For a knot K, define the stick number of K, denoted stick(K), to be the minimum number of straight edges necessary to form a stick knot which ...
Algorithms in numerical algebraic geometry and applications
Author(s):Hanson, Eric M.
The topics in this dissertation, while independent, are unified under the field of numerical algebraic geometry. With ties to some of the oldest areas in mathematics, numerical algebraic geometry is relatively young as a ...
FDOA-based passive source localization: a geometric perspective
Author(s):Cameron, Karleigh J.
We consider the problem of passively locating the source of a radio-frequency signal using observations by several sensors. Received signals can be compared to obtain time difference of arrival (TDOA) and frequency difference ...
Longer nilpotent series for classical unipotent groups
We compute the adjoint series for the unipotent subgroup, U, of the Chevalley group Ad(Zp). The adjoint series of U has length d2/4 + d/2 + θ(1), whose factors have order equal to either p or p2, whereas the lower central ...
Electrodiffusion on the surface of bilayer membranes
Author(s):Swager, Melissa R.
The cell memebrane is of utmost importance in the transportation of nutrients to the cell which are needed for survival. The magnitude of this is the inspiration for our study of the lipid bilayer which forms the cell ...
Steady state Hopf mode interaction in anisotropic systems
A paradigm example of pattern formation in anisotropic extended systems is the electroconvection of nematic liquid crystals, due to its easily accessible control parameters and the variety of patterns near onset. Some of ...