Математические структуры и моделирование (Выпуск 13)
Журнал / Под ред. А.К.Гуца.
Омск: Омск. гос. ун-т, 2004. Вып. 13. 190 с.
ISBN 5-8239-0152-6
Для научных работников, аспирантов и студентов старших курсов.
Полная версия журнала
К пятидесятилетию от рождества Виктора Матвеевича Гичева
Прикладная математика и моделирование
С.Н. Астраков, А.И. Ерзин.
Одна модель саморегулирующейся системы.
In this article a system of interactive elements is
investigated. The interrelation of two elements may be presented
by the edge in a given graph and depends on the quantity of
resources directed from one to another. Depends on the
distribution of limited amount of resources among the incident
arcs and of strategy of elements the quality of the relations can
be evaluated. In this paper we consider the case, when the
valuation function reflects the threat from the neighbors, and a strategy
of resource redistribution aim at minimization of maximum threat from the
adjacent elements. The system evolution is investigated. An effective
approach to find limiting and balanced state is proposed. In the case of
complete graph the analytical representation for these states
is found.
Е.Е. Голденок.
Прямая и обратная эвентологические задачи Марковица: управление персоналом
и заполнение ресурсов.
The paper offers an attempt of eventologically
formulating, solving and interpreting the classic portfolio
Markowitz problem and also new inverse version of this problem and
pursues an end in theory and practice. A familiarization by
eventology of portfolio analysis of a set of random events and a
new notion of optimal portfolio of events assists to theoretical
development of eventology without doubt. Portfolio methods of
solving direct and inverse eventological problems expand an area
of eventological applications.
М.А. Добренко, А.К. Гуц.
Интуиционизм экономической арифметики.
In this article the intuitionistic aspects of real numbers
and mathematical analysis that are applied in economics are
discussed. The some axioms of economical arithmetics are
postulated.
Н.Т. Копылова.
Cтабилизация решения нестационарной задачи электрогазодинамики в случае вязкого теплопроводного газа.
In this article one problem of stability the
non-stationary solution electrogasdynamics is presented.
К.В. Логинов.
Эквивалентирование гидравлических схем при моделировании крупных районов
теплосетей.
In this article is presented algorithms of decision of
problem of flow in network, founded on method of progressive
approximations, provide convergence on systems with number unknown
5 000-10 000 at number of iterations does not exceed 50; the
number of regulators and parallel working in network of sources of
pressure -- is not limited. Suitable visual shell for work with
principle scheme of network is oriented on engineers, using heat
networks.
Л.В. Недорезов, А.М. Садыков. О влиянии периодических возмущений на динамику популяции с перекрывающимися поколениями.
In paper there is the consideration of model of population dynamics
with overlapping generations. Within the framework of model it is assumed
that trajectories are broken periodically (there are the "jumps down")
that can correspond to influence of winter periods onto insect population
dynamics. The global properties of model are analyzed and, in particular,
it was shown that if the probability of surviving during the winter
period is constant there are no cyclic regimes in model (but at the same
time there is the possibility of existence of regimes with several
non-trivial stationary states). Also there are the considerations of some
partial cases of model for the situations when the probability of surviving
during the winter period depends on average of population size on any
time interval. For considering partial cases one-parameter sets of discrete
models were obtained (the time moments of determination of population size
are used as set parameter) which are produced by the respective
continuous-discrete model.
И.В. Уразова.
О смежности дробных и целочисленных вершин многогранника задачи коммивояжера.
In given paper some properties concerning adjacency of
vertices of polytope of Humiltonian cycles are shown.
Теоретическая физика
А.К. Гуц.
Время, сознание, мультиверс.
In this article a new theory of time is presented. We
assume that a number of parallel realities exists. Time is a form
of consciousness. The collection of these realities is called
multiverse.
В.В. Клишевич, Р.А. Кузякин.
О расслоениях римановых пространств, допускающих второй оператор
Дирака.
We consider Riemannian spaces where a second Dirac
operator exists. In such spaces one can construct main bundle with
a structure group and some specific bundles. The group of
conjugations of Dirac operators is a structure group in the main
bundle. Examples with the Minkowski space and one curved space are
discussed.
О.Л. Курнявко, И.В. Широков, Ю.А. Юревич.
Поляризация вакуума в поле Ааронова--Бома.
It is considered the charged scalar field, interactive with external Aharonov-Bohm field. An
analytical expression for a vacuum energy-momentum tensor is received and dependence of a scalar field vacuum
energy density on distance and field magnitude.
Е.В. Палешева.
Решения уравнения Дирака с нулевым тензором
энергии-импульса.
Spinor fields that have a property of vanishing
energy-momentum tensor though non-zero current density are named
ghost spinors, in a particular case of zero mass they are ghost
neutrinos. In this direction some results have been received. In
this article respective survey is presented.
В.А. Тюменцев.
Полнота алгебры операторов симметрии уравнения Дирака в пространстве де Ситтера и
функциональные соотношения между операторами.
In the four-dimensional space de Sitter of any signature
all solutions for the Yano and Yano-Killing fields are found. According work
Л.А. Паутова, А.К. Гуц.
Использование теории хаоса и странных аттракторов в исследованиях
индивидуального и социального сознания.
In this paper the problems of theory chaos and strange
attractors in sociology are discussed.
Методы защиты информации
О.Т. Данилова, Р.Т. Файзуллин.
Автоматы Кауффмана как циклические генераторы заранее заданных команд.
In this article an application of NK Kauffman
like automata for cyclic and exact generation for preliminary
given some code words is presented.
В.И. Ефимов.
Система контроля разграничения доступа на основе исследования корреляций
потоков данных.
In this article а new approach for traffic control is
presented.
Т.М. Опарина.
Политика безопасности СУБД, обеспечивающая защиту от получения информации путем логических выводов.
In this articletechnology of a database security from reception the information from it by the way of logic conclusions
is described .
Информационные технологии
О.А. Голованова, В.А. Когут, Е.Ю. Ачкасова, Е.В. Желяев.
Разработка программного обеспечения для моделирования нуклеации в многофазных системах.
The mathematical model of dispersed phase crystallization based on Fokker-Plank equation is builded and its properties
are studied. Numerical robust method solving nonlinear boundary problem and modeling software are developed.
О.Л. Епанчинцева, Е.А. Костюшина, Т.А. Погромская.
Описание бизнес-процессов проведения приемной кампании в ОмГУ.
In this article a business processes of entrance
examination at the Omsk State University is described . These
models were realized by using such CASE Tools as BPWin and ARIS
Toolset. The authors compare CASE Tools and give advices how to
select convenient tools to construct business models.
Д.В. Малыгин.
Выполнение свойства соединения без потерь на некоторых типах схем
баз данных.
Building a correct query is of great importance in
query-generating systems, and particularly, in systems that
translate natural language queries to SQL-queries. It is
sufficient to bound a set of relations, which are addressed in the
query, to confront only objects related in the data domain. This
problem is solved by execution of nonloss join on the set of
relations forming the query. In this article a special case of
nonloss join execution is considered – nonloss joins on the
"star" and "snowflake" schemas, that are used in OLAP
applications.
Образование
И.М. Зырянова, В.А. Мухин, О.В. Новикова.
Разработка контролирующе-обучающей компьютерной программы «Электролиз».
To consideration the computer learning-supervising program on general and inorganic
chemistry "Elektroliz" is offered. The program has block-modular structure, which can work as
independently, and in a uniform complete set. The blocks contain a necessary theoretical material,
set of exercises and tasks of a various degree of complexity. The module of adjustment allows to
vary time of the answer for questions. The program works in operational systems Widows 95; 98; NT;
2000; ME (Millennium); the program is developed in environment C++ Builder 6. The minimal
technical requirements: P – 133; RAM – 16 MB.
Е.В. Морозова.
Повышение творческой активности в процессе цветовосприятия в ходе обучения
студентов художественно-графических факультетов.
The article contains a brief review of activation of the creative process
in the sphere of educational activity,
using color preferences.
Е.В. Морозова.
Фоновое окружение как фактор активизации
творческой деятельности в процессе дизайна.
The gist of the article is in the importance of comfortable conditions in the course of educational process.
Background environment is the factor which influences on creation of the students.