Математические структуры и моделирование (Выпуск 10)
Журнал / Под ред. А.К.Гуца. Омск: Омск. гос. ун-т, 2002. Вып. 10. 198 с.
Полная версия журнала
А.К. Гуц.
Машина времени Геделя и проблема Александрова.
In this paper reminiscences on academician A.D.Alexandrov
and the history of time machine problem are given.
Фундаментальная математика
С.Г. Кузьмин.
Свойство Коэна-Маколея алгебры конкомитантов 2×2 матриц.
Algebras of concomitants of 2 by 2 matrices over any infinite
field are described. It is proved that they are free modules over
parameter subalgebras.
Б.К. Нартов.
Об алгоритмах оптимального поиска неподвижных целей.
The problems of the control of searching the fixed targets
in real time scale and the problems of the planning of searching the fixed
targets with the loss risk are reduced to the optimum control
problems in the work.
В.Е. Рольщиков.
Однопараметрическое семейство аппроксимационных экстремалей в задаче Больца.
In this article the question of existence
one-parameter family's decisions of Eller's equation in Bolza
problem for nonsmooth functional is studied.
В.Н. Степанов.
Замечания об интегралах кривизны выпуклой гиперповерхности .
The integrated equation of the first kind with the kernel
dependent on scalar product within the Banach space of measures
on \(S^{n-1}\), is being considered here. The theorem of the
uniqueness of the equation solution relatively to the
measures, which is used to prove the simple definiteness of the
closed convex hypersurface on its integrals of curvature has been
proved. The theorem of existence of the central symmetric closed
convex hypersurface with the given integral of projection
curvature has been proved.
Моделирование
Н.Ф. Богаченко, Р.Т. Файзуллин.
Компьютерное моделирование начальной стадии коллапса на плоскости.
For collaps mass points cloud
it is suggested the ring density characteristic
which describes "in" shock wave formation.
А.К. Гуц.
Игровой подход к решению задачи выбора оптимального управления
аппаратом, двигающимся к группе целей.
The game theory approach to optimal conrol of apparatus that is moving to some group of
aims is given. The well-known results of Krasovsky are used.
М.А. Добренко, А.К. Гуц.
Математическая модель и оптимальное
управление ценовой политикой торгового предприятия.
The mathematical model of the trade enterprise is constructed. The enterprises
consists of two parts, one of which is selling the goods on on cashless
calculation, а other is selling on available one.
С.В. Зыкин, А.В. Кукин.
Построение математической модели учебного
процесса для долгосрочного планирования.
In this article are presented the main aspects of the
mathematical model of organization of the study process in
university. As the basis for creation of the model five main
elements were used: students, teachers, subjects, classrooms and
time. The principles of coding information were given. The results
of interaction between the basic elements were considered through
the principles of creating adequate database. The schemes of the
unified database on the principle of reduction of redundant
information were proposed.
В.А. Маренко.
Оценка индивидуальных знаний.
A comparison of the semantic human space and that of an
amateur is presented in graphic form. A conclusion is given that
the results of the investigation can be recommended for testing
the users of consultation systems end for evaluation of human
knowledge.
Н.А. Широкова.
Математическое моделирование баланса инсулин–глюкоза в крови.
In this article the mathematical model of balance
insulin-glucose in the blood of a human is presented.
Теоретическая физика
С.В. Белим.
Исследование влияния упругих деформаций на критическое поведение
неупорядоченных систем, описываемых двумя параметрами порядка.
A field-theoretical description of the behavior of disordered,
elastically isotropic, compressible systems characterized by two
order parameters at the bicritical and tetracritical points is
presented. The description is performed in the two-loop
approximation in three dimensions with the use of the Pade-Borel
summation technique. The renormalization group equations are
analyzed, and the fixed points corresponding to different types of
multicritical behavior are determined. It is shown that the effect
of elastic deformations causes a change in the regime of the
tetracritical behavior of disordered systems because of the
interaction of the order parameters through the deformation field.
Е.В. Палешева.
Некоторые следствия разложения Гордона.
We use a new view to the our reality which is presented by
Guts-Deutsch multiverse. In this article we consider some
conclusions of the Gordon decomposition of Dirac current.
Р.В. Филиппов.
O возможной нетождественности микрочастиц и волн
де Бройля в квантовой теории.
The completeness of quantum theory can be achieved by introducing
of DeBroglie waves and particles nonidentity principle. According to the
principle particles are not identical in their free motion to corresponding
DeBroglie waves, and can be experimentally separated from them. On the other
hand existence of isolated DeBroglie wave is predicted, and its experimental
detection is discussed. Different aspects of modeling experiments of
separation procedure are analyzed.
Математическая социология и психология
В.В. Коробицын, Ю.В. Фролова.
Социальная система: иерархия уровней и мультиагентное моделирование .
Тhe paper presents the hierarchical approach to construct
the simulation model of complex social system on the base of
multi-agent modelling technology. The system has the hierarchical
structure. We consider the following subsystem levels: biosphere,
ethnosphere, sociosphere, psychosphere, anthroposphere. To
construct the multi-agent models for each subsystems. They are the
separate parts of general complex system. We give the approach for
merging these parts in a whole model of complex social system.
А.А. Лаптев.
Аналитическое исследование математической модели «политическая
дифференциация – степень адаптации».
This article is about analytical qualitative investigation the
system of
differential equations. This system describes the
behaviour of the political and economic society systems.
States of the equilibrium are explored. Phase-plane
portraits are plotted.
Л.В. Розанова.
Математическое моделирование влияния темпераментов
.
On the basis of Hanter's model of interpersonal interaction in small
groups and experiments on measurement of parameters of a nervous system,
the model circumscribing dynamics of interpersonal attitudes with
allowance for of temperaments in ideal small group is offered.
It is supposed, that all members of group carry out identical
time in conversations with the colleagues on group.
The implementation of model on the programming language
C++ Builder and outcomes of computer experiments is described.
Информационные технологии
В.И. Ефимов, Р.Т. Файзуллин.
Система мультиплексирования разнесенного TCP/IP трафика.
Some special redirect points was added for security IP traffic construction.
И.А. Земсков.
Имитационное исследование концепций сбора информации для индексов поисковых систем.
In the e article the description of web resources'
information state \linebreak monitoring system is presented. Then
two simulation models of this system for two building concepts
were built. Computer models were realized on Python with SimPy
package. The result of our own experiment is considered.
Д.Н. Лавров.
Схема разделения секрета для потоков данных маршрутизируемой сети.
Scheme of division of secret for dataflows of network is offered.