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Effects Of Discrete Time Delays And Parameters Variation On Dynamical Systems
(Mathematics, 2013-10-23)
To understand the effects of discrete time delays and of parameters variation on certain biological system models, we first consider a Delay Differential Equation model of human immunodeficiency virus (HIV). We investigate ...
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 ...
Solving The Optimization Control Problem For Lunar Soft Landing Using Minimization Technique
(Mathematics, 2013-10-23)
Minimizing fuel consumption in lunar missions has been a well studied and documented optimization problem. In this paper two cases of the lunar Lander are studied. The first case is the one dimensional problem where the ...
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 ...
Smooth Quantile Processes For Right Censored Data
(Mathematics, 2013-07-22)
The development of an estimator of a quantile function Q(p) is discussed. The smooth nonparametric estimator Qn(p) of a quantile function Q(p) is defined as the solution to Fn(Qn(p)) = p, where Fn is a smooth Kaplan-Meier ...
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 ...
On The Existence Of Totally Reflexive Modules
(Mathematics, 2011-07-14)
In this manuscript, we investigate the existence of non-free totally reflexive modules over two classes of commutative local (Noetherian) rings.First, we demonstrate existence over a class of local rings which are defined ...
Numerical Integration Of Matrix Riccati Differential Equations With Solution Singularities
(Mathematics, 2013-07-22)
A matrix Riccati differential equation (MRDE) is a quadratic ODE of the form X' = A₂₁ + A₂₂X - XA₁₁ - XA₁₂X ; where X is a function of t with X : R Rnxm and the Aij's are constant or functions of t with matrix sizes ...
Haplotype-based Statistical Inference For Case-control Genetic Association Studies With Complex Sampling
(Mathematics, 2014-09-17)
With the advances in human genome research, it is now believed that the risks of many complex diseases are triggered by the interplay of genetic susceptibilities and environmental exposures. The population-based case-control ...
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 ...