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Applied Mathematics Commons

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Articles 31 - 43 of 43

Full-Text Articles in Applied Mathematics

The Möbius Geometry Of Hypersurfaces, Michael Bolt Dec 2008

The Möbius Geometry Of Hypersurfaces, Michael Bolt

University Faculty Publications and Creative Works

No abstract provided.


The Möbius Geometry Of Hypersurfaces, Michael Bolt Dec 2008

The Möbius Geometry Of Hypersurfaces, Michael Bolt

University Faculty Publications and Creative Works

No abstract provided.


A Lower Estimate For The Norm Of The Kerzman-Stein Operator, Michael Bolt Dec 2007

A Lower Estimate For The Norm Of The Kerzman-Stein Operator, Michael Bolt

University Faculty Publications and Creative Works

We establish an elementary lower estimate for the norm of the Kerzman-Stein operator for a smooth, bounded domain. The estimate involves the boundary length and logarithmic capacity. The estimate is tested on model domains for which the norm is known explicitly. It is shown that the estimate is sharp for an annulus and a strip, and is asymptotically sharp for an ellipse and a wedge. © 2007 Rocky Mountain Mathematics Consortium.


Geometry Of Sub-Finsler Engel Manifolds, Jeanne N. Clelland, Christopher G. Moseley, George R. Wilkens Jan 2007

Geometry Of Sub-Finsler Engel Manifolds, Jeanne N. Clelland, Christopher G. Moseley, George R. Wilkens

University Faculty Publications and Creative Works

We analyze the geometry of sub-Finsler Engel manifolds, computing a complete set of local invariants for a large class of these manifolds. We derive geodesic equations for regular geodesics and show that in the symmetric case, the rigid curves are local minimizers. We end by illustrating our results with an example.


Cauchy Integrals And Möbius Geometry Of Curves, David E. Barrett, Michael Bolt Jan 2007

Cauchy Integrals And Möbius Geometry Of Curves, David E. Barrett, Michael Bolt

University Faculty Publications and Creative Works

No abstract provided.


A Geometric Characterization: Complex Ellipsoids And The Bochner-Martinelli Kernel, Michael Bolt Jan 2005

A Geometric Characterization: Complex Ellipsoids And The Bochner-Martinelli Kernel, Michael Bolt

University Faculty Publications and Creative Works

Boas' characterization of bounded domains for which the Bochner-Martinelli kernel is self-adjoint is extended to the case of a weighted measure. For strictly convex domains, this equivalently characterizes the ones whose Leray-Aǐzenberg kernel is self-adjoint with respect to weighted measure. In each case, the domains are complex linear images of a ball, and the measure is the Fefferman measure. The Leray-Aǐzenberg kernel for a strictly convex hypersurface in ℂn is shown to be Möbius invariant when defined with respect to Fefferman measure. © 2005 University of Illinois.


Algebraic Fiberings Of Grassmann Varieties, R. J. D. Ferdinands, R. E. Schultz Jan 1997

Algebraic Fiberings Of Grassmann Varieties, R. J. D. Ferdinands, R. E. Schultz

University Faculty Publications and Creative Works

No abstract provided.


Automorphisms Of The Lattice Of Recursively Enumerable Sets: Promptly Simple Sets, Peter Cholak, Rod G. Downey, Michael Stob Jan 1992

Automorphisms Of The Lattice Of Recursively Enumerable Sets: Promptly Simple Sets, Peter Cholak, Rod G. Downey, Michael Stob

University Faculty Publications and Creative Works

We show that for every coinfinite r.e. set A there is a complete r.e. set B such that ℒ⋆(A)≈ ℒ⋆(B) and that every promptly simple set is automorphic (in f⋆) to a complete set.


Automorphisms Of The Lattice Of Recursively Enumerable Sets: Orbits, Rod G. Downey, Michael Stob Jan 1992

Automorphisms Of The Lattice Of Recursively Enumerable Sets: Orbits, Rod G. Downey, Michael Stob

University Faculty Publications and Creative Works

No abstract provided.


Designing The Optimal Placement Of Spaces In A Parking Lot, R. Bingle, D. Meindertsma, W. Oostendorp, Gene A. Klaasen Jan 1987

Designing The Optimal Placement Of Spaces In A Parking Lot, R. Bingle, D. Meindertsma, W. Oostendorp, Gene A. Klaasen

University Faculty Publications and Creative Works

We develop a method for determining the optimal size and placement of parking spaces and approach aisles for an automobile parking lot. In particular, our solution concerns a parking lot of size 100' x 200' located at the corner of an intersection of two streets in a New England town. We begin by arguing the superiority of driver operation over attendant operation of vehicles to be parked. Then a statistical analysis is performed on a sampling of 160 1987 model automobiles to determine upper bounds and ideal values for the length and width of a parking space and for the …


Complement Theorems Beyond The Trivial Range1, I. Ivanšić, R. B. Sher, Gerard A. Venema Jan 1981

Complement Theorems Beyond The Trivial Range1, I. Ivanšić, R. B. Sher, Gerard A. Venema

University Faculty Publications and Creative Works

No abstract provided.


Chebyshev Approximation By Reciprocals Of Polynomials On [0, ∞), D. Brink, G. D. Taylor Jan 1976

Chebyshev Approximation By Reciprocals Of Polynomials On [0, ∞), D. Brink, G. D. Taylor

University Faculty Publications and Creative Works

No abstract provided.


Prime Ideals In A Large Class Of Nonassociatiye Rings, Paul J. Zwier Jan 1971

Prime Ideals In A Large Class Of Nonassociatiye Rings, Paul J. Zwier

University Faculty Publications and Creative Works

In this paper a definition is given for a prime ideal in an arbitrary nonassociative ring N under the single restriction that for a given positive integer 5^2, if A is an ideal in N, then A* is also an ideal. (N is called an snaring.) This definition is used in two ways. First it is used to define the prime radical of N and the usual theorems ensue. Second, under the assumption that the.s-naring N has a certain property (a), the Levitzki radical L(N) of N is defined and it is proved that L(N) is the intersection of those …