Математика. Механика: сборник научных трудов

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Математика. Механика: сборник научных трудов

Вып. 13. Саратов: Издательство Саратовского университета, 2011.

Editor-in-chief: Г. Хромова

О полных семействах гомоморфизмов игр с отношениями предпочтения

Савина Т. Ф. В кн.: Математика. Механика: сборник научных трудов. Вып. 13. Саратов: Издательство Саратовского университета, 2011. С. 92-95.

Added: Feb 18, 2013

Research target: Mathematics Computer Science

Priority areas: mathematics engineering science

Language: Russian

Keywords: algebra geometry discrete mathematics informatics mathematical analysis spectral theory of operators theory of approximations

Математика. Механика: сборник научных трудов

Units 33-36

Kuzmina T. A. In bk.: Учебно-методическое пособие к учебнику «Professional English in Use. ICT. For Computers and the Internet». M.: Higher School of Economics Publishing House, 2013. P. 184-203.

Added: Apr 8, 2013

Математический анализ: сборник индивидуальных заданий по курсу

Логинова В. В., Морозов Е. А., Морозова А. В. и др. Пермь: Пермский государственный университет, 2011.

Added: Feb 4, 2013

Методические указания к практическим занятиям для подготовительных курсов. Часть 2

Рыбакин А. С. Ч. 2. СПб.: Издательство СПбГЭТУ "ЛЭТИ", 1997.

Added: Feb 10, 2013

Системные проблемы надёжности, качества, информационно-телекоммуникационных и электронных технологий в инновационных проектах (ИННОВАТИКА - 2011). Часть 1

Ч. 1. М.: Энергоатомиздат, 2011.

Added: Feb 7, 2013

Generic algebras: rational parametrization and normal forms

Vladimir L. Popov. arxiv.org. math. Cornell University, 2014. No. 1411.6570.

For every algebraically closed field $\boldsymbol k$ of characteristic different from $2$, we prove the following: (1) Generic finite dimensional (not necessarily associative) $\boldsymbol k$-algebras of a fixed dimension, considered up to isomorphism, are parametrized by the values of a tuple of algebraically independent over $\boldsymbol k$ rational functions in the structure constants. (2) There exists an "algebraic normal form", to which the set of structure constants of every such algebra can be uniquely transformed by means of passing to its new basis, namely: there are two finite systems of nonconstant polynomials on the space of structure constants, $\{f_i\}_{i\in I}$ and $\{b_j\}_{j\in J}$, such that the ideal generated by the set $\{f_i\}_{i\in I}$ is prime and, for every tuple $c$ of structure constants satisfying the property $b_j(c)\neq 0$ for all $j\in J$, there exists a unique new basis of this algebra in which the tuple $c'$ of its structure constants satisfies the property $f_i(c')=0$ for all $i\in I$.

Added: Nov 25, 2014

Вычисление энтропии скрытой марковской цепи с одним "немарковским" состоянием

Бежаева З. И., Оселедец В. И. Обозрение прикладной и промышленной математики. 2011. Т. 18. № 4. С. 622-623.

Added: Mar 22, 2013

Quantum toroidal gl(1)-algebra: Plane partitions

Feigin B. L., Jimbo M., Miwa T. et al. Kyoto Journal of Mathematics. 2012. Vol. 52. No. 3. P. 621-659.

In this, the third paper of the series, we construct a large family of representations of the quantum toroidal gl(1)-algebra whose bases are parameterized by plane partitions with various boundary conditions and restrictions. We study the corresponding formal characters. As an application We obtain a Gelfand-Zetlin-type basis for a class of irreducible lowest weight gl(infinity)-modules.

Added: Feb 5, 2013

On-line Teaching of Calculus Using WebMathematica

Vorob'ev E. M. In bk.: Globalization: Business, Finance and Education. First International Conference. Sofia: Perun-Sprint Ltd., 2012. Ch. 6.5. P. 566-577.

The paper addresses the on-line teaching of Calculus using webMathematica interactive electronic tutorials developed by the author. The tutorials are available on the web site http://wm.iedu.ru. It is obvious that e-learning technologies need new pedagogy. It is usually called e-pedagogy. We share and realize the main pedagogical principle of webMathematica based learning. The principle is laid out as follows. To teach mathematics not calculation or math not equal calculating.

Added: Feb 19, 2013

Методические аспекты организации проектной деятельности студентов в рамках текущего контроля знаний по дисциплине «Информатика»

Борина Г. Б. Информатика и образование. 2012. № 5. С. 61-64.

In the article methodical aspects and technology of the organization of project work of students within the limits of one of monitoring elements - homework are considered. Work on the project forms skills of work with ICT, necessary for practical use at the subsequent grade levels, at performance of term papers and at the decision of typical problems in a professional field of activity of the future specialist.

Added: Sep 6, 2012

Методические указания к практическим занятиям для подготовительных курсов. Часть 1

Рыбакин А. С. Ч. 1. СПб.: Издательство СПбГЭТУ "ЛЭТИ", 1997.

Added: Feb 10, 2013

Разработка автоматизированного обеспечения для учебно-методического комплекса по специальности "Дискретная математика"

Михеев А. В. В кн.: Современное образование: содержание, технологии, качество. Материалы XIX международной научно-методической конференции. Т. 1. СПб.: Издательство СПбГЭТУ "ЛЭТИ", 2013. С. 123-123.

Added: May 3, 2013

Bounded limit cycles of polynomial foliations of ℂP²

Goncharuk N. B., Kudryashov Y. arxiv.org. math. Cornell University, 2015. No. 1504.03313.

In this article we prove in a new way that a generic polynomial vector field in ℂ² possesses countably many homologically independent limit cycles. The new proof needs no estimates on integrals, provides thinner exceptional set for quadratic vector fields, and provides limit cycles that stay in a bounded domain.

Added: Apr 15, 2015

Анализ эволюции лаговых структур в задачах экономического прогнозирования

Вавилов Б., Моторин В. И. Вопросы радиоэлектроники. 1983. № 3. С. 44-51.

Added: Mar 5, 2015

Сабейские этюды

Коротаев А. В. М.: Восточная литература, 1997.

Added: Mar 9, 2013

Dynamics of Information Systems: Mathematical Foundations

Iss. 20. NY: Springer, 2012.

This proceedings publication is a compilation of selected contributions from the “Third International Conference on the Dynamics of Information Systems” which took place at the University of Florida, Gainesville, February 16–18, 2011. The purpose of this conference was to bring together scientists and engineers from industry, government, and academia in order to exchange new discoveries and results in a broad range of topics relevant to the theory and practice of dynamics of information systems. Dynamics of Information Systems: Mathematical Foundation presents state-of-the art research and is intended for graduate students and researchers interested in some of the most recent discoveries in information theory and dynamical systems. Scientists in other disciplines may also benefit from the applications of new developments to their own area of study.

Added: Dec 19, 2012

Short lists with short programs in short time

Bauwens B., Makhlin A., Vereshchagin N. et al. Electronic Colloquium on Computational Complexity. Technical report. Hasso-Plattner-Institut, 2013. No. TR13-007.

Given a machine $U$, a $c$-short program for $x$ is a string $p$ such that $U(p)=x$ and the length of $p$ is bounded by $c$ + (the length of a shortest program for $x$). We show that for any universal machine, it is possible to compute in polynomial time on input $x$ a list of polynomial size guaranteed to contain a $O(\log |x|)$-short program for $x$. We also show that there exist computable functions that map every $x$ to a list of size $O(|x|^2)$ containing a $O(1)$-short program for $x$ and this is essentially optimal because we prove that such a list must have size $\Omega(|x|^2)$. Finally we show that for some machines, computable lists containing a shortest program must have length $\Omega(2^{|x|})$.

Added: Dec 14, 2013

Laminations from the Main Cubioid

Timorin V., Blokh A., Oversteegen L. et al. arxiv.org. math. Cornell University, 2013. No. 1305.5788.

According to a recent paper \cite{bopt13}, polynomials from the closure $\ol{\phd}_3$ of the {\em Principal Hyperbolic Domain} ${\rm PHD}_3$ of the cubic connectedness locus have a few specific properties. The family $\cu$ of all polynomials with these properties is called the \emph{Main Cubioid}. In this paper we describe the set $\cu^c$ of laminations which can be associated to polynomials from $\cu$.

Added: Oct 6, 2013

Анализ динамики структурных параметров в моделях экономического прогнозирования с элементами адаптации

Моторин В. И. Вопросы радиоэлектроники. 1984. № 2. С. 28-36.

Added: Mar 5, 2015

Консенсус в социальной сети со сложными узлами

Федянин Д. Н., Чхартишвили А. Г. Управление большими системами: сборник трудов. 2016. Т. 64. С. 137-150.

Added: Jun 1, 2018

Управление качеством информационных систем в экономике

Черников Б. В., Ильин В. В. М.: Издательский дом «Форум», 2010.

Added: Nov 29, 2012

High field ESR study of the new low dimensional S = ½ system: Cu(NO3)2∙H2O

Shutov V. V., Yehia M., Vavilova E. et al. Journal of Low Temperature Physics. 2010. Vol. 159. No. 1-2. P. 96-100.

Added: Apr 7, 2015

Качественный анализ, прогноз и компьютерное моделирование МОП и КМОП наносхемотехники для твердотельных классических суперкомпьютеров

Трубочкина Н. К. Качество. Инновации. Образование. 2010. № 8. С. 44-50.

Added: Apr 19, 2012

Instantons beyond topological theory II

Frenkel E., Losev A. S., Nekrasov N. arxiv.org. math. Cornell University, 2008

Added: Feb 27, 2013

Вопросы оптимизации проектирования РЭС с учетом ЭМС

Грачев Н. Н., Лазарев Д. В. Современная наука: актуальные проблемы теории и практики. Серия: Естественные и технические науки. 2012. № 3. С. 31-39.

Added: Nov 10, 2012

Математическое моделирование социальных процессов

Edited by: А. Михайлов Вып. 14. М.: Социологический факультет МГУ, 2012.

Added: Mar 14, 2013

Conjugacy classes in discrete Heisenberg groups

Roman Budylin. arxiv.org. math. Cornell University, 2014

We study some extension of a discrete Heisenberg group coming from the theory of loop-groups and find invariants of conjugacy classes in this group. In some cases including the case of the integer Heisenberg group we make these invariants more explicit.

Added: Nov 14, 2014