It is shown possibility for application a new class of spatial sets using multidimensional symmetrical and non-symmetrical combinatorial configurations "Ideal Ring Bundles" (IRB)s for vector data coding with minimal number of the digit weights. Mutual connection theory of the symmetrical and asymmetrical sets with algebraic structures in Galois fields is developed.
The stability of solutions in the problem of architecture design for software system is examined in the paper with taking to the account the quality attributes for software system, obtained with Analytical Hierarchic Process. For this purpose, for different values of elements' inconsistencies in the matrix of pairwise comparisons, given as random numbers, were compared inconsistency criteria of decision for optimization problem obtained with a classical and with a modified Analytical Hierarchic Process.
Oxidation of tert-butyl alcohol (TBA) to methacrolein (МA) over Fe-Te-Mo-Ox catalyst (Cat), promoted by Ca(NO3)2 has been investigated. Promoter concentration, which was optimal by the МA yield, has been established (Ca/Mo = 0.05). Using catalyst of such type the MA yield was 87.1 % (calculated for supplied TBA) at the temperature of 663 K, process time of 2.5 s and TBA concentration of 7.0 % with concentration of water vapour in the air of 20 %. Under mentioned conditions TBA conversion was 100 %, isobutylene conversion – 95.5 %, selectivity by MA was 87.6 % and by CO2 – 2.4 %.
Goal. The development of conceptual frameworks and proposals to optimize the geometry of Dnister PSPP control GNSS network and to identify ways to improve the accuracy of GNSS measurements. Methodology. To select optimal geometric deployment of new and to clarify the position of existing points of Dnister PSPP control GNSS network it was developed a special methodology of optimizing the geometric configuration of the network. It foresees detecting of points position at which the value of optimization criteria will be minimal.
Based on the experimental studies and mathematical modeling method, we have chosen the optimal conditions of the 2,3-dimetylbuta-1,3-diene and 2-hydroxyethylmethacrylate cyclization reaction with obtaining of 2-hydroxyethyl 1,3,4-trimethylcyclohex-3-encarboxylate.
The influence of basic technological parameters of the organosolvent delignification of corn stalks process on the pulps quality has been investigated. The adequate regression equations of the process of obtaining pulps using the method of full factorial experiment have been obtained. The optimal values of technological parameters of organosolvent delignification of corn stalks have been calculated.
The mathematical model has been developed to calculate the content of higher alcohols and esters depending on wort initial concentration and fermentation temperature. The process was optimized in accordance with the developed model. To obtain high-quality beer via high-gravity brewing technology the wort concentration was found to be 14-15 % relative to dry matter and main fermentation temperature of 284–285 K.