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01.00.00 Physical-mathematical sciences
DescriptionIn the article, the embodying of operation of integrating of systems, being generalization of operation of integrating of sets within the limits of system generalization of the theory of sets is considered. This operation is similar to bulean integrating operation of the classical theory of sets. However, unlike the classical theory of sets, the concrete algorithm of integrating of systems in its system generalization is offered and the quantitative standard system effect (synergetic, emergetic) arising with the application of integrating of systems is proved. For this standard, the unique name is offered: «The generalized coefficient of emerge by R.Hartley» because of likeness of its mathematical form to the local coefficient of emerge by Hartley, reflecting a degree of difference of system from the set of its base elements. The reference to the author's program realizing offered algorithm and providing numerical modeling of integrating of systems at various restrictions on complexity of systems and at various power of generating set is given, some effects of numerical modeling are given
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01.00.00 Physical-mathematical sciences
DescriptionIn the article general mathematical expression for a quantitative assessment of system (synergetic) effect, arising when integrating buleans (systems), being a generalization of sets in system generalization of the theory of varieties and independent of an expedient (algorithm) of formation of subsystems in system is offered. For this quantitative standard the name is offered: «Generalized coefficient of emergence by R.Hartli» because of likeness of its mathematical shape to the local coefficient of emergence of Hartli, reflecting a degree of difference of system from the variety of its base devices. For local coefficient of emergence of Hartli, the generalization independent of an expedient (algorithm) of formation of subsystems in system is offered. Numerical estimates of system's effect are given at integrating of two systems with ap-plication of the author's program to which the refer-ence is given