Misunderstandings about the Concept of Limit among High School Seniors E. Reyhaani, Ph.D. Z. Sharifi M. Soltaani The concept of limit is one of the basic concepts in mathematics. As such, clear understanding of it is pre-requisite for learning many other concepts. However, many of high school students suffer from misunderstanding this basic concept. To identify and remedy these ...

This paper concerns the propagation of particles through a quenched random medium. In the oneand two-dimensional models considered, the local dynamics is given by expanding circle maps and hyperbolic toral automorphisms, respectively. The particle motion in both models is chaotic and found to fluctuate about a linear drift. In the proper scaling limit, the cumulative distribution function of th...

This paper is concerned with the dynamic assignment of servers to tasks in queueing networks where demand may exceed the capacity for service. The objective is to maximize the system throughput. We use fluid limit analysis to show that several quantities of interest, namely the maximum possible throughput, the maximum throughput for a given arrival rate, the minimum arrival rate that will yield...

The family of nonlinear weighted flux methods for solving the transport equation is derived for 2D Cartesian geometry. A linear polynomial weight is considered. An asymptotic diffusion limit analysis is performed on the discretized method. The analysis reveals conditions on the weight necessary for an accurate approximation of the diffusion equation. As a result, we developed a new weighted flu...

This paper deals with a variational model applicable to small-deformation structural analysis expressed for linearly elastic-perfectly plastic (von Mises-Hubcr-Hencky) material. The model comprises a unification of the minimum complementary energy principal, the Haar-von Karman principle for deformation elastoplasticity, and (in a sense) the lower bound theorem of Limit Analysis. Thus it corres...