We introduce asymptotic analysis of stochastic games with shortstage duration. The play of stage k, k ≥ 0, of a stochastic game Γδ with stage duration δ is interpreted as the play in time kδ ≤ t < (k+ 1)δ, and therefore the average payoff of the n-stage play per unit of time is the sum of the payoffs in the first n stages divided by nδ, and the λ-discounted present value of a payoff g in stage ...

In the thermochemical process of low-carbon steel nitridation, improvements of mechanical properties are governed by the nature (hardness, thickness, etc.) of the compound layer since the compound layer will be kept under working conditions. Because of low nitrogen diffusivity in steel and low mass transfer between gaseous reaction and steel, long duration and high temperature are classically u...

Purpose The purpose of this study is to develop, test and examine econometric methodology for Sharīʿah-compliant duration models Islamic banks. Design/methodology/approach research evaluates all existing from Sharīʿah’s perspective develops a four-stage framework testing models. consists multiple regression, Johansen co-integration, error correction model, vector model (VECM) threshold (TVECM)....

Waterlogging reduces shoot and root growth and final yield of wheat. Waterlogged sites have a combination of low slope, high rainfall, heavy texture and low permeability. This study was aimed the importance of waterlogging on root growth and wheat yield. In order to study the effects of different waterlogging duration (0, 10, 20 and 30 days) at growth stages (1-leaf stage, tillering stage and s...

The aim of the present work was to determine the duration of the adolescent peak growth spurt using cervical vertebral maturation analysis in class I and II malocclusion subjects. The study was conducted on a sample which consisted of 154 lateral cephalograms of children and adolescents aged 9-15 years (84 females and 70 males). The evaluation of skeletal maturation stage was performed using a ...