Within the article attempt is made to study perception of XVIII century philosopher Hryhorii Skovoroda’s image and its philosophy through prism later national identities. The fact stressed that statement issue concerning Ukrainization history solution turns out be consequence process establishing Ukrainian modern self-identity which started in ХІХ century. situation emphasized within “all-Russi...

A network effect is introduced taking into account competition, cooperation, and mixed-type interaction among agents along a generalized Verhulst-Lotka-Volterra model. It is also argued that the presence of a market capacity undoubtedly enforces a definite limit on the agent's size growth. The state stability of triadic agents, i.e., the most basic network plaquette, is investigated analyticall...

We present an algorithm for computing the cumulative distribution function of the Kolmogorov{ Smirnov test statistic D n in the all-parameters-known case. Birnbaum (1952) gives an n-fold integral for the CDF of the test statistic which yields a function deened in a piecewise fashion, where each piece is a polynomial of degree n. Unfortunately, it is diicult to determine the appropriate limits o...

We analyze the long time behavior of transport equations for a class of dissi-pative quantum systems with Fokker-planck type scattering operator, subject to connning potentials of harmonic oscillator type. We establish the conditions under which there exists a thermal equilibrium state and prove exponential decay towards it, using (classical) entropy-methods. Additionally, we give precise dispe...

an in vitro experiment was conducted to determine the effect of supplemental non-fiber carbohydrate(nfc) on the disappearance kinetics of cellulose (ce) by mixed ruminal microorganisms. non-supplementedor nfc supplemented cellulose (467 mg nfc/g cellulose as sucrose (cesu) or starch (cest) or a 1:1 mixtureof sucrose + starch (cesust)) were incubated for 24, 48, and 96 h at 39°c. after each incu...

The Kuramoto-Sivashinsky equation arises in a variety of applications, among which are modeling reaction-diffusion systems, flame-propagation and viscous flow problems. It is considered here, as a prototype to the larger class of generalized Burgers equations: those consist of quadratic nonlinearity and arbitrary linear parabolic part. We show that such equations are well-posed, thus admitting ...

This paper reports the recent developments of the Gene Expression Messy Genetic Algorithm (GEMGA) research. It presents extensive experimental results for large problems with massive multi-modality, non-uniform scaling, and overlapping sub-problems. All the experimental results corroborate the linear time performance of the GEMGA for a wide range of problems, that can be decomposed into smaller...

One of the open problems in the max-plus-algebraic system theory for discrete event systems is the minimal realization problem. We consider a simpliied version of the general minimal realization problem: the boolean minimal realization problem, i.e., we consider models in which the entries of the system matrices are either equal to the max-plus-algebraic zero element or to the max-plus-algebrai...

With the growing demands from disciplinary and interdisciplinary elds of science and engineering for the numerical solution of the nonsymmetric eigenvalue problem, competitive new techniques have been developed for solving the problem. In this paper, we examine the start-of-the-art of the algorithmic techniques and the software scene for the problem. Some current developments are also outlined.