let denote the unit circle in the complex plane. given a function , one uses t usual (harmonic) poisson kernel for the unit disk to define the poisson integral of , namely . here we consider the biharmonic poisson kernel for the unit disk to define the notion of -integral of a given function ; this associated biharmonic function will be denoted by . we then consider the dilations for and . the ...

This study provides the first in vivo measures of the passive length-tension properties of relaxed human muscle fascicles and their tendons. A new method was used to derive passive length-tension properties of human gastrocnemius muscle-tendon units from measures of ankle stiffness obtained at a range of knee angles. Passive length-tension curves of the muscle-tendon unit were then combined wit...

Quadratic regression functionals are important for bandwidth selection of nonparametric regression techniques and for nonparametric goodness-of-t test. Based on local polynomial regression , we propose estimators for weighted integrals of squared derivatives of regression functions. The rates of convergence in mean square error are calculated under various degrees of smoothness and appropriate ...

Objective: The aim of this study was to compare the diagnostic efficacy of an electronic apex locator (EAL) and radiovisigraphy (RVG) in working length (WL) determination. Materials and Methods: This study was performed on Single-rooted maxillary/mandibular teeth requiring root canal treatment. After administration of local anesthesia, the teeth were isolated and the pulp cavities were accessed...

This study considers a -policy Geo/G/1 queue with startup and closedown times. The -policy operates as follows. On completion of the vacation, if there are customers in the queue, the server is either to activate with probability p or to stay dormant in the system with probability 1-p for waiting a new arrival; and if no customer presents in the queue, the server obeys classical sin...

the proposed method, the profit maximization problem is transformed into a minimization problem that can be solved by a traditional hydro-thermal unit commitment program after implementing a few modifications. The paper describes t he modifications introduced in a unit commitment program based on the Lagrangian relaxation approach and on a disaggregated Bundle method for the solution of the dua...

Let denote the unit circle in the complex plane. Given a function , one uses t usual (harmonic) Poisson kernel for the unit disk to define the Poisson integral of , namely . Here we consider the biharmonic Poisson kernel for the unit disk to define the notion of -integral of a given function ; this associated biharmonic function will be denoted by . We then consider the dilations ...

Let G(V; E) be a graph (either directed or undirected) with a non-negative length`(e) associated with each arc e in E. For two speciied nodes s and t in V , the k most vital arcs (or nodes) are those k arcs (nodes) whose removal maximizes the increase in the length of the shortest path from s to t. We prove that nding the k most vital arcs (or nodes) is NP-hard, even when all arcs have unit len...

In this essay, we presuppose basic knowledge of stochastic processes [1]. Let {Xt : t ≥ 0} be a zero mean, unit variance, stationary Gaussian process with twice differentiable correlation function r(|s − t|) = Cov(Xs,Xt). We wish to study the distribution of lengths of intervals between zeroes of Xt. There are two cases: the first in which r(τ) is analytic (implying differentiability up to all ...