Physical Sciences and Mathematics Commons^™

Exact P-Adic Orders For Differences Of Motzkin Numbers, Tamas Lengyel

Tamas Lengyel

For any prime p, we establish congruences modulo pn+1 for the difference of the pn+1th and pnth Motzkin numbers and determine the p-adic order of the difference. The results confirm recent conjectures on the order. The applied techniques involve the use of congruences for the differences of certain Catalan numbers and binomial coefficients, congruential identities for sums of Catalan numbers, central binomial and trinomial coefficients, infinite incongruent disjoint covering systems and the solution of congruential recurrences.

A Chebyshev Pseudo-Spectral Method To Solve The Space-Time Tempered Fractional Diffusion Equation

Cecile M Piret

Some Mathematical Problems In Numerical Relativity, Maria Babiuc-Hamilton, B´Ela Szilagyi, Jeffrey Winicour

Maria Babiuc-Hamilton

The main goal of numerical relativity is the long time simulation of highly nonlinear spacetimes that cannot be treated by perturbation theory. This involves analytic, computational and physical issues. At present, the major impasses to achieving global simulations of physical usefulness are of an analytic/ computational nature. We present here some examples of how analytic insight can lend useful guidance for the improvement of numerical approaches.

Generating A Dynamic Synthetic Population – Using An Age-Structured Two-Sex Model For Household Dynamics, Mohammad-Reza Namazi-Rad, Payam Mokhtarian, Pascal Perez

Payam Mokhtarian

Generating a reliable computer-simulated synthetic population is necessary for knowledge processing and decision-making analysis in agent-based systems in order to measure, interpret and describe each target area and the human activity patterns within it. In this paper, both synthetic reconstruction (SR) and combinatorial optimisation (CO) techniques are discussed for generating a reliable synthetic population for a certain geographic region (in Australia) using aggregated- and disaggregated-level information available for such an area. A CO algorithm using the quadratic function of population estimators is presented in this paper in order to generate a synthetic population while considering a two-fold nested structure for …

Construction Of Spline Type Orthogonal Scaling Functions And Wavelets, Tian-Xiao He, Tung Nguyen, '15

Tian-Xiao He

No abstract provided.

Purchasing Nonprescription Contraceptives: The Underlying Structure Of A Multi-Item Scale, Chris Manolis, Robert Winsor, Sheb True

Robert D. Winsor

The authors develop a multi-item scale measuring attitudes associated with purchasing nonprescription contraceptives. Although contraceptives represent a common as well as consequential purchase for many people, published research has not addressed measures of attitudes associated with this purchase decision. A scale development method is presented measuring both male and female consumer attitudes toward purchasing contraceptives. Ultimately, a multi-item scale demonstrating a high degree of invariance across 2 samples (men and women) is developed.