In this paper, a semi-analytical solution for magneto-thermo-elastic problem in an axisymmetric functionally graded (FG) hollow rotating disk with constant thickness placed in uniform magnetic and thermal fields with heat convection from disk’s surfaces is presented. Solution for stresses and perturbation of magnetic field vector in a thin FG rotating disk is determined using infinitesimal theo...

We prove a new lower bound on the critical density ρc of the hard disk model, i.e., the density below which it is possible to efficiently sample random configurations of n non-overlapping disks in a unit torus. We use a classic Markov chain which moves one disk at a time, but with an improved path coupling analysis. Our main tool is an optimized metric on neighboring pairs of configurations, i....

Abstract In areas with a pronounced relief, water erosion causes great harm to agriculture and other sectors of the national economy. It leads destruction soil cover, reduction in area arable land, decrease fertility, removal products into floodplains, siltation ponds rivers road network. The scientific goal was identify influence main natural factors (snow reserves, freezing moisture) on forma...

Heterogeneous disk arrays are becoming a common configuration in many sites and specially in storage area networks (SAN). As new disks have different characteristics than old ones, adding new disks or replacing old ones ends up in a heterogeneous disk array. Current solutions to this kind of arrays do not take advantage of the improved characteristics of the new disks. In this paper, we present...

We prove a new lower bound on the critical density ρc of the hard disk model, i.e., the density below which it is possible to efficiently sample random configurations of n non-overlapping disks in a unit torus. We use a classic Markov chain which moves one disk at a time, but with an improved path coupling analysis. Our main tool is an optimized metric on neighboring pairs of configurations, i....

The performance gap between the processor and the memory speeds has been ever increasing. Whereas processor speeds have improved by 60% annually, secondary storage speed has only improved by 10% annually. Although there have been many efficient techniques introduced to minimize this speed gap, it still remains a bottleneck in various commercial implementations. Since secondary memory technologi...