1 Introduction The purpose of this paper is to solve a class of combinatorial games consisting of one-pile counter pickup games for which the maximum number of counters that can be removed on each successive move changes during the play of the game. Two players alternate removing a positive number of counters from the pile. An ordered pair (N, x) of positive integers is called a position. The n...

A numerical method is presented herein to study soil-pile interaction systems in a stratified media. The method is based on a coupling of the finite element method and the boundary element method. The near field is modeled by the finite elements whereas the far field is modeled by the boundary dement formulation using the multi-layer dynamic fimdamental solution that satisfies the radiation con...

this paper studies the dynamic behavior of price elasticity and its effects on the overall profit. although price elasticity has a significant effect on sales, its dynamics have not been examined so far in pricing models. in this paper, a simple pricing model is suggested in which, price elasticity is considered dynamic. the suggested pricing model is concerned with a monopolist that its object...

Simple methods of analysis are developed for computing the dynamic steady-state axial response of floating pile groups embedded in homogeneous and non-homogeneous soil deposits. Physically-motivated approximations are introduced to account for the interaction between two individual piles. It is found that such an interaction arises chiefly from the ‘interference’ of wave fields originating alon...

Approved for public release; distribution is unlimited. 1. Purpose. This manual provides information, foundation exploration and testing procedures, load test methods, analysis techniques, allowable criteria , design procedures, and construction consideration for the selection, design, and installation of pile foundations. The guidance is based on the present state of the technology for pile-so...

A completely general method of analysis for three-dimensional raked piles under harmonic excitation is discussed. The piles have been represented by a three-dimensional frame structure and the soil has been represented by a boundary element discretization scheme. A computer program has been written which carries out this analysis and produces a group stiffness matrix that can be included as a f...

The isolation of the vibration due to a harmonic vertical load using pile rows embedded in a saturated poroelastic half-space is investigated in this study. Using the fundamental solution for a circular patch load and Muki’s method, the second kind of Fredholm integral equations describing the dynamical interaction between the pile rows and the saturated poroelastic half-space are obtained. Num...