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The results of computer investigation of the sign changes of the difference between the number of twin primes pi2 (x) and the Hardy-Littlewood conjecture C2Li2 (x) are reported. It turns out that d2 (x) = pi2 (x) - C2Li2 (x) changes the sign at unexpectedly low values of x and for x less than 248 = 2.81... x 1014 there are 477118 sign changes of this difference. It is conjectured that the number of...
A batch biotransformation process running in the presence of microorganisms cells revealing a specified enzyme activity has been considered. A non-linear deactivation model suggested by Do and Weiland has been taken into account for modeling of the process. Based on variational calculus computations aimed at finding an optimal selection of temperature conditions that ensure obtaining maximum conversion...
An analytical solution of the flow of a hydromagnetic fluid through a porous medium between permeable beds is obtained and studied. The fluid is under an exponential decaying pressure gradient and the uniform magnetic field in a direction normal to the flow saturated porous medium is considered. Two governing equations, namely Navier-Stokes equations and Darcy's law, are employed for the flow between...
Systematic studies on the structure of platinum clusters consisting of N = 2-15 atoms were performed using density functional theory. The results show that up to N = 9 atoms planar structures are as stable as three- dimensional ones. For larger clusters, both distorted and disordered spatial structures are preferred. The global minima of N = 10- and 14-atom clusters were found to possess fcc-like...
Computational modelling with multi-agent systems has become an important technique in studying language evolution. We present a brief introduction into this rapidly developing field, as well as our own contributions, which include an analysis of the evolutionary naming game model. In this model, communicating agents, which try to establish a common vocabulary, are equipped with an evolutionarily selected...
The problem of scheduling workflow applications in a grid environment is considered. The problem is divided into two stages: (i) resource allocation, which consists in allocating distributed grid resources to tasks of a workflow in such a way that the resource demands of each task are satisfied, and (ii) scheduling performed by local grid schedulers. Grid resources are divided into computational and...
The unique set of aromaticity indices was identified for thermally induced changes of pi-electron delocalization by means of PCA (Principal Component Analysis). It was demonstrated that solvents polarity can influence not only the values of aromaticity indices but also their contribution to Principal Components. Therefore, in different phases one should select different indices for a proper description...
This paper shows how the renewal process in which the sums of independent random variables of the modified Makeham distribution appear can be approximated by the surrogate distribution.
Using the self-consistent field theory (SCFT) in spherical unit cells of various dimensionalities, D, a phase diagram of a diblock, A-b-B, is calculated in 5 dimensional space, d = 5. This is an extension of a previuos work for d = 4. The phase diagram is parameterized by the chain composition, f, and incompatibility between A and B, quantified by the product chi N. We predict 5 stable nanophases:...
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