The goals of the article are a definition of patterns of change in demand and supply of milk and dairy in the market of Ukraine and revealing the regularities of establishing of partial equilibrium state. The scientific methods which used in the process of the research: simulation was used for defining trends of supply and demand changing and their balancing in the dairy market; economic and st...

A local partitioning algorithm finds a set with small conductance near a specified seed vertex. In this paper, we present a generalization of a local partitioning algorithm for undirected graphs to strongly connected directed graphs. In particular, we prove that by computing a personalized PageRank vector in a directed graph, starting from a single seed vertex within a set S that has conductanc...

This is a brief history of physical analogies that begins at the time of Coulomb. Then it was universally believed that gravity, electricity and magnetism all obeyed Newton’s inverse square law. The current era—dominated by quantum mechanics, general relativity, strings and inflationary cosmology—is clearly more complex. A new analogy may be helpful. Evidence is given that, in the non-relativis...

The locations of the peaks of the CMB spectrum are sensitive indicators of cosmological parameters, yet there is no known analytic formula which accurately describes their dependence on them. We parametrize the location of the peaks as lm = lA(m−φm), where lA is the analytically calculable acoustic scale and m labels the peak number. Fitting formulae for the phase shifts φm for the first three ...

For the first time, we demonstrate experimentally that by using HfLaO high-κ gate dielectric, the flat-band voltage (Vfb) and the threshold voltage (Vth) of metal-electrode-gated MOS devices can be tuned effectively in a wide range (wider than that from the Si-conduction band edge to the Si-valence band edge) after a 1000-◦C annealing required by a conventional CMOS source/drain activation proc...

Abstract The accurate calculations of adsorption equilibrium for multicomponent gas systems are of great importance in many applications. In this paper, five two-dimensional equations of state 2D-EOS, i.e. Van der Waals, Eyring, Zhou-Ghasem-Robinson, Soave-Redlich-Kwong and Peng-Robinson, were examined to find out their abilities to predict adsorption equilibrium for pure and multi-component ga...

In the present paper, a new 2-D Van der Polstructural oscillator model is introduced for the vortex induced vibrations of circular cylinders.The main purpose of this task is to control the recently introduced model by means of modern control definitions in state space. In order to control the system, the whole model is linearized about its equilibrium point by deriving state-space matrices. The...

in this paper we study the dynamics of hepatitis b virus (hbv) infection under administration of a vaccine and treatment, where the disease is transmitted directly from the parents to the offspring  and also through contact with infective individuals. stability of the disease-free steady state is investigated. the basic reproductive rate, $r_0$, is derived. the results show that the dynamics of...