Fraisse Limits, Ramsey Theory, and Topological Dynamics of Automorphism Groups

We study in this paper some connections between the Fraisse theory of amalgamation classes and ultrahomogeneous structures, Ramsey theory, and topological dynamics of automorphism groups of countable structures.Comment: 73 pages, LaTeX 2e, to appear in Geom. Funct. Ana

Solid-state structure of copper complexes of N-(2-carboxyethyl)chitosan

The sorptivity for ions of the Irving-Williams series (Zn2+, Cu2+, Co2+, Ni2+) was estimated for the chelate sorbent N-(2-carboxyethyl)chitosan cross-linked by nanosecond electron-beam irradiation. The maximum capacity reaches 3.7 mmol/g using a mixture of the appropriate sulfates at pH 4.5. The selectivity of copper sorption is 80%. The structure of the coordination sphere of the copper complexes with N-(2-carboxyethyl)chitosan was investigated by ESR spectroscopy

Учебно-производственный комплекс компьютерного 3D-моделирования технологической системы и обработки деталей на оборудовании с ЧПУ

Developed training and production complex computer simulation of the technological system and the machining on the equipment with computer numerical control (CNC) is designed for studying the software VERICUT by students and for working with the product specialists of industrial enterprises.Разработанный учебно-производственный комплекс компьютерного моделирования технологической системы и обработки деталей на оборудовании с числовым программным управлением (ЧПУ) предназначен как для изучения программного продукта VERICUT студентами учебных заведений, так и для работы с этим продуктом специалистами промышленных предприятий

Infinite dimensional integrals beyond Monte Carlo methods: yet another approach to normalized infinite dimensional integrals

An approach to (normalized) infinite dimensional integrals, including normalized oscillatory integrals, through a sequence of evaluations in the spirit of the Monte Carlo method for probability measures is proposed. in this approach the normalization through the partition function is included in the definition. For suitable sequences of evaluations, the ("classical") expectation values of cylinder functions are recoveredComment: Submitted as a communication in the ICMSQUARE conference, september 201

On Alternative Supermatrix Reduction

We consider a nonstandard odd reduction of supermatrices (as compared with the standard even one) which arises in connection with possible extension of manifold structure group reductions. The study was initiated by consideration of the generalized noninvertible superconformal-like transformations. The features of even- and odd-reduced supermatrices are investigated on a par. They can be unified into some kind of "sandwich" semigroups. Also we define a special module over even- and odd-reduced supermatrix sets, and the generalized Cayley-Hamilton theorem is proved for them. It is shown that the odd-reduced supermatrices represent semigroup bands and Rees matrix semigroups over a unit group.Comment: 22 pages, Standard LaTeX with AmS font

АСПЕКТЫ ФИНАНСИРОВАНИЯ ГОСУДАРСТВЕННЫХ КАПИТАЛЬНЫХ ВЛОЖЕНИЙ

One of the major tools and conditions of modernization and transition to investment development is carrying out effective investment policy by the state in the field of the state capital investments. In the conditions of limitation of financial resources of means of the state, according to the author, have to go first of all to such forms of capital construction as modernization and modernization of the existing research and production base.Meanwhile contradictions and shortcomings of the developed conceptual framework in financing of the state capital investments create considerable difficulties in the solution of a problem of ensuring rhythmical and effective financing from the budget of modernization and modernization. In the article the author considers concepts of modernization, new construction, reconstruction and modernization, expansion of production and their reflection in the current legislation and standard and legal documents, shows discrepancy of interpretation of these concepts in different legislative and normative legal acts that results in difficulties in practical activities on implementation of the state capital investments. The reasons of the developed situation are analyzed and offers on its correction are made. Одним из важнейших инструментов и условий модернизации и перехода на инвестиционное развитие является проведение государством эффективной инвестиционной политики в области государственных капитальных вложений. В условиях ограниченности финансовых ресурсов средства государства, по мнению автора, должны направляться в первую очередь в такие формы капитального строительства, как техническое перевооружение и модернизация существующей научно-производственной базы.Между тем противоречия и недостатки в сложившемся понятийном аппарате в финансировании государственных капитальных вложений создают значительные трудности в решении задачи обеспечения ритмичного и эффективного финансирования из бюджета технического перевооружения и модернизации. В своей статье автор рассматривает понятия технического перевооружения, нового строительства, реконструкции и модернизации, расширения производства и их отражение в действующем законодательстве и нормативно-правовых документах, показывает противоречивость трактовки этих понятий в разных законодательных и нормативно-правовых актах, что приводит к трудностям в практической деятельности по осуществлению государственных капитальных вложений. Анализируются причины сложившегося положения дел и вносятся предложения по его исправлению.

Filling minimality of Finslerian 2-discs

We prove that every Riemannian metric on the 2-disc such that all its geodesics are minimal, is a minimal filling of its boundary (within the class of fillings homeomorphic to the disc). This improves an earlier result of the author by removing the assumption that the boundary is convex. More generally, we prove this result for Finsler metrics with area defined as the two-dimensional Holmes-Thompson volume. This implies a generalization of Pu's isosystolic inequality to Finsler metrics, both for Holmes-Thompson and Busemann definitions of Finsler area.Comment: 16 pages, v2: improved introduction and formattin

Universal minimal flows of automorphism groups

We investigate some connections between the Fraïssé theory of amalgamation classes and ultrahomogeneous structures, Ramsey theory, and topological dynamics of automorphism groups of countable structures. We show, in particular, that results from the structural Ramsey theory can be quite useful in recognizing the universal minimal flows of this kind of groups. As a result we compute the universal minimal flows of several well known topological groups such as, for example, the automorphism group of the random graph, the automorphism group of the random triangle-free graph, the automorphism group of the ∞-dimensional vector space over a finite field, the automorphism group of the countable atomless Boolean algebra, etc. So we have here a reversal in the traditional relationship between topological dynamics and Ramsey theory: the Ramsey-theoretic results are used in proving theorems of topological dynamics rather than vice versa