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01. Arab Journal of Basic and Applied Sciences
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Volume 07
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Now showing items 1-14 of 14

Algorithm for quantum simulation

Sanders, Barry C. (2009)

We summarize our algorithm for simulating Hamiltonian evolution and show that the cost of the simulation, in terms of black-box calls to the Hamiltonian oracle, is nearly linear in time and the space complexity for given ...
Bioinformatics: A Challenge for Statisticians

Upton, Graham J. G. (2009)

Bioinformatics is a subject that requires the skills of biologists, computer scientists, mathematicians and statisticians. This paper introduces the reader to one small aspect of the subject: the study of microarrays. It ...
Complexity of Parallel Block Gauss Jordan Algorithm

Abbas, Salman H. (2009)

In this paper the block Gauss-Jordan algorithm for solving linear systems of equations is presented in the proposed for multitasking. The paper indicates how the availability of more than one processor must change our ...
Decay Rates of Solutions to A Nonlinear Viscoelastic Evolution Equation of Fourth Order

Kafini, Mohammad; Messaoudi, Salim A. (2009)

In this paper we consider a nonlinear viscoelastic equation of fourth order. Under suitable conditions on the initial data and the relaxation function, we prove uniform decay results
Four-level atom via intensity dependent atom-field coupling

Zidan , Nour A. (2009)

We study the interaction of a four level-atom with a single mode in a cavity, involving intensity dependent coupling with additional a kirr-like medium. The wave function is obtained when the atom is initially in superposition ...
Geometrically Induced Spectrum of the Schr?dinger Operator

Eastham, Michael S.P. (2009)

New and recent results concerning the spectrum of the operator with a boundary condition on a given curve in the Ÿ(x,y) - plane are presented. The geometry of the curve influences the nature of the spectrum, and the ...
A linear weighted estimator for estimating population total or mean of the study variable

Al Mannai, Mariam; Agarwal, Satish K. (2009)

In this paper we have extended the expressions of Bias and Mean square error of the estimators of Agarwal and Al-Mannai (2008) from first order of approximation to the second order of approximation. This helps further to ...
Massless Dirac equation as a special case of Cosserat elasticity

Chervova, Olga; Vassiliev, Dmitri (2009)

We suggest an alternative mathematical model for the massless neutrino. Consider an elastic continuum in 3-dimensional Euclidean space and assume that points of this continuum can experience no displacements, only rotations. ...
Maximum Principles for Second Order Elliptic Systems

Almahameed, Mohammad (2009)

In this paper we discuss a classical maximum principle for weakly coupled second order homogeneous elliptic systems. We find a sufficient condition for the classical maximum principle which extend the result of Winter and ...
Numerically solving the Schr?dinger Equation for SQUID rings

Everitt, Mark J. (2009)

Here we present some mathematical and computational tools for the numerical analysis of SQUID rings. Much of this text is taken from my own thesis based on work done by many others and as such this does not comprise original ...
On T-Equivariant Rational Equivalence of T-Equivariant Cycles

Al-Sabbagh, Mutaz (2009)

Let m be the m-dimensional projective space over the field of complex numbers acted on by the algebraic torus T m 1 . Let X be an equivariantly embedded variety in m via the map , i.e., is an embedding and t . x X whenever ...
On The Existence and the Uniqueness of Solutions of the Fredholm Integral Equations of the Second Kind on the Contour

Nadir, Mostefa (2009)

The basic goal of this work is to obtain the conditions of existence and uniqueness of the solution of the integral equations of the second kind. Noting that, except the Banach's theorem where the norm of the integral ...
Self-Similar Solutions of Bianchi Type iii Space-Times Using Partial Differential Equations

Shabbir, Ghulam; Khan, Suahil (2009)

A different approach is developed to study self-similar solutions in Bianchi type III spacetimes. Self-similar solutions in both tilted and non tilted cases are obtained. By solving a system of six non linear and inhomogeneous ...
Weisner’s Method to Obtain Generating Functions for the Incomplete 2D Hermite Polynomials

Shahwan, M. J. S. (2009)

In this paper, we derive some generating functions for Incomplete 2D Hermite polynomials );,( , ? yxh nm by giving suitable interpretations to the indices (m) and (n) through Weisner's method.

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