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Now showing items 1-10 of 62

#### Applications And Adaptations Of A Globally Convergent Numerical Method In Inverse Problems

(Mathematics, 2013-07-22)

In our terminology "globally convergent numerical method" means a numerical method whose convergence to a good approximation of the correct solution is independent of the initial approximation in inverse problems. A numerical ...

#### Non-traditional Socio-mathematical Norms In Undergraduate Real Analysis

(Mathematics, 2010-03-03)

This study builds upon the framework of classroom norms (Cobb, Wood, & Yackel, 1993) and socio-mathematical norms (Cobb & Yackel, 1996) to understand how non-traditional socio-mathematical norms influence student reasoning ...

#### High Order DNS For Late Flow Transition

(Mathematics, 2012-07-25)

In this report, a new high order scheme for boundary points is introduced when calculating the derivative of smooth functions by Compact Scheme. The primitive function reconstruction method of ENO schemes is applied to ...

#### New Results In Finite Geometries Pertaining To Albert-like Semifields

(Mathematics, 2012-07-25)

One of the most widely studied class of semifields are the generalized twisted fields defined by Albert in the 50s and 60s. The collineation groups of generalized twisted field planes have been completely described. In a ...

#### Cuspidal Modules Of The Lie Superalgebras Osp(1|2n)

(Mathematics, 2010-11-01)

The classification of all bounded weight modules for the classical Lie superalgebras is an open question. Only recently, in fact, has the question been closed for the Lie algebras (see Mathieu). We give a differential ...

#### A Study On The Two Component Periodic Shallow Water Systems

(Mathematics, 2012-07-25)

In this dissertation we study the generalized periodic two-component Camassa-Holm system and the generalized periodic two-component Dullin-Gottwald-Holm system, which can be derived from the Euler equation with nonzero ...

#### Resolutions And Tor Algebra Structures For Trivariate Monomial Ideals

(Mathematics, 2012-07-25)

In this manuscript we explore properties of minimal free resolutions and their relationship to the Tor-algebra structure for trivariate monomial ideals. We begin with an in-depth analysis of minimal free resolutions of ...

#### Predictive Model For Bigheaded Carps In Mississippi River

(Mathematics, 2012-04-11)

Bigheaded carps refer to two species of fish called Silver carp and Bigheaded carp which have invaded the Upper Mississippi River System and are causing nuisance to the native fish like catfish, paddlefish and gizzard Shad ...

#### From Discrete To Continuous Models Of Cell Movement: An Application To Medical Implants

(Mathematics, 2013-03-20)

Mathematical modeling of cell movement is needed to aid in the deeper understanding of vital processes such as embryogenesis, angiogenesis, tumor metastasis, and immune reactions to foreign bodies. In this work, cell ...

#### On Primitivity And Dimension Of Finite Semifields And Their Planes

(Mathematics, 2013-03-20)

The study of semifields was originated by L.E. Dickson in 1905 and was greatly developed in the 1960s by Albert, Knuth, Walker, Kleinfeld among others. Two problems of interest in this area are the primitivity of semifields ...