Математические структуры и моделирование (Выпуск 12)
Журнал / Под ред. А.К.Гуца.
Омск: Омск. гос. ун-т, 2003. Вып. 12. 176 с.
ISBN 5-8239-0144-5
Для научных работников, аспирантов и студентов старших курсов.
Фундаментальная математика
М.И.Бродский.
Применение FDP к многокритериальным методам принятия
решения.
The applications of fuzzy dynamic programming to
multicriteria multistage methods of decision-making is considered
in the paper.
А.Г. Гринь.
Уточнения центральной предельной теоремы
для сумм зависимых случайных величин.
Some new estimations of the rate of convergence in the
central limit theorem for weakly dependent variables are
received in this article. Also there is proved the elementary
asymptotic expansion for sums of dependent random variables.
А.В. Пролубников, Р.Т. Файзуллин. Класс графов, задача проверки изоморфизма для которых разрешима за полиномиальное время алгоритмом спектрального расщепления.
We propose an algorithm for solving the graph isomorphism
problem. The problem is not known to be NP-complete or to be
solvable in polinimial time for every pair of input graphs. Main heuristic used by the algorithm is inverse
matrices of graphs' adjacency matrices which modified to positive
defined matrices. These modified adjacency matrices can be viewed
as adja- cency matrices of graphs with weighted loops. The two
initial input graphs are isomorphic if and only if the two
obtained graphs with weighted loops are isomorphic. The graphs'
automorphism groups are consequently simplified and finally become
trivial during iterations of the algorithm by perturbations of
graphs (perturbations of their modified adjacency matrices). So we
can solve the isomorphism problem both for perturbed graphs with
weighted loops and so for the initial input graphs. Some results
relating to computational efficiency are considered. It is shown
that our algorithm can solve the isomorphism problem for the class
of graphs for which the problem is solvable at polinimial time by
the most universal algorithm designed for the graph isomorphism
problem.
В.Н. Степанов. Определение выпуклых тел по проекционным функциям.
The brief review of known results devoted to questions
of a convex body definition on its projection functions.
Моделирование
Г.А. Десятков, Е.В. Трофименко, В.С. Энгельшт.
Компьютерное исследование процессов плазменного разложения
зарина при высоком давлении и вариации добавок.
The thermodynamic analysis of processes of plasmachemical
decomposition of poison gas sarin was carried out at the high
pressure (0,1-1000 MPa) and influence of the oxide calcium
addition on structure of reaction products and influence of CaO
and \(CaCO_3\) addition in the closed volume at the pressure
150 MPa. The adiabatic temperatures and product composition of
processing were calculated. Results of research have shown that
pyrolysis of sarin with the oxide calcium addition at pressure
higher than 150 MPa is an ecologically clean process and
reaction products do not contain dangerous connections.
Replacement of CaO addition by cheaper \(CaCO_3\) does not lead
to increase of toxicity of pyrolysis products. Process is
energetically effective, expenses for generation of plasma are
minimal. The role of plasma is in initiation of course of
reaction.
И.С. Кострикина, Ю.В. Фролова.
Возможности моделирования в области психологии интеллекта
с использованием системы WizWhy.
The persons of keen intellect are public and cultural
property of society. The development and conservation of intelligence
are chief task of university education. Cognitive psychology is
situated in the methodological crisis. The findings rules of thumb
are mutually contradictory. Nonlinear interconnections in deep
structure of mental faculties, intellect threshold effect,
compensation effect makes difficult of experimental data
interpretation. Logical system "WizWhy" makes possible discovery
of hidden knowledge and unexpected interdependences.
Н.М. Лыченко.
Задачи децентрализованного слежения для взаимосвязанных
систем: разработка алгоритмов и моделирование .
The procedures of synthesis of decentralized coordinated
control of interconnecting continues and discrete systems with
known disturbances are submitted. The trajectories of
interconnecting systems should track some known trajectories.
The initial continues problem is stated as optimization problem
with performance index built on an errors between trajectories of
subsystem states and etalon models. The initial discrete
problem is reviewed as optimization problem with performance
index, built on a difference between desirable trajectories and
outputs of subsystems. The parallel calculation for coordination
parameters was used. Illustrative examples are submitted.
Н.Н. Нескреба, А.К. Гуц, В.М. Семенюк, А.В. Артюхов. Математическая модель двукорневого зуба после сепарации.
Математическая физика
С.П. Барановский, И.В. Широков, С.В. Шмаков.
Вычисление группы автоморфизмов конечномерной алгебры в
системе Maple.
In the present work the algorithm for the calculating of an arbitrary
finite-dimensional algebra's automorphism group has been proposed. The proper
Maple procedure
has been fully described.
А.А. Магазев.
Причинная функция Грина на однородных
пространствах с инвариантными и центральными метриками.
In this article the method of calculation of causal
Green's function on the homogeneous spaces with central and
Riemans's metrics is being developed. As an illustration of the
proposed method the Green's function on the four-dimension
solvable Lie group, which is the homogeneous space with trivial
subgroup of isotropy, have been calculated.
Математическая экономика
М.А. Добренко, А.К. Гуц.
Макроэкономические первичные структуры отношений
Кулакова.
In this article the Kulakov initial structures in macroeconomics are
considered.
Early the Kulakov initial structures were applied to physics, sociology and
microeconomics.
Теоретическая физика
А.К. Гуц.
Силовые эффекты хода времени.
In this article is shown that fractal characteristic of time capable to
manifest
themselves as force, acting upon material bodies.
The move of time creates the tidal forces and change of spin of classical
particle.
Е.В. Палешева.
Физические следствия многомерного Времени.
In this article we consider Time as many dimensional space. Existance of
nongravitational field which influences on space-time curvature is shown.
Potential of this field is positive.
Информационные технологии
В.И. Дулькейт, Д.Н. Лавров, П.И. Михайлов, А.А. Свенч.
Анализ надежности алгоритма разделения секрета
в сетевых потоках.
Analysis to reliability algorithm division of the secret in network flow
is conducted in this article.
Recommendations are given on the further improvement algorithm.
Т.А. Погромская.
Модель процесса приема абитуриентов в ВУЗ.
In this article is presented model of entrance examination process working
Р.Т. Файзуллин.
Алгоритм передачи информации с использованием
общей библиотечной среды.
Considered algorithm for short data transfer based on
references.
Математические методы в образовании
А.В. Кукин.
Математическая модель распределения учебной нагрузки в ВУЗе.
This article presents the mathematical model of organizing study
process in the university. The formulation of the task is suggested
which allows to find optimal solution for distributing occupation of
auditoria during one term from the aspect of different criteria and
restrictions.
Т.Н. Щеднова, А.Н. Романов.
Алгоритмический подход к рейтинговой оценке
знаний учащихся.
In this article is presented the algorithm of calculation of rating in
the limits of rating system training.