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## Методическое пособие по математической физиологии. Новый способ численной оценки энерготрат человека

This paper analyzes Belarus energy system, relations between Belarus, Kazakhstan and Russia in the framework of the Customs Union and the Common Economic Space. The consequences of the recent political crisis in Ukraine will inevitably lead to the review of the relations between the European Union and Russia. In these new conditions, the members of the Common Economic Space of Belarus, Kazakhstan and Russia must develop a new concept of energy security. This new concept should allow to decrease substantially the influence of the export of hydrocarbons on the economic development of abovementioned countries, thus increasing the competitiveness of their national economies. As a first measure, the members of the Eurasian Union should create the single energy market

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.

The chapter constructs a new approach to legal approximation in EU-Russian energy relations

The article analyses the EU activity in assisting developing countries to develop energy sector throughperspective of the functional approach. The author identifies the EU approach by assessing EU compliance with the G8 commitments on assisting developing countries to develop energy sector. The assessment is made on the basis of the analysis of EU implementation of its commitments made in four major spheres of international engagement for energy development, such as ensuring developing countries’ access to modern energy sources, clean energy development, raw natural energy resources, sustainable management and environmental protection. In order to ensure comprehensive and unbiased assessment the author applies the methodology of global governance delivery function approach and compares EU compliance with compliance of other traditional donors such as USA and emerging donors such as Russia. In conclusion some recommendations on how to raise effectiveness in assisting developing countries to develop energy sector are made for the Russian Federation.

The paper explores the outcomes of Russian Federation G20 Presidency in 2013. The analysis is based on the model of balancing external conditions and national priorities for developing an agenda in informal institutions (supply-demand model). This analytical paradigm allows to reveal to what extent the Presidency has managed to ensure: 1) a high level of response to the key global governance challenges in the agenda and summit decisions; 2) a balance between national and other members’ interests in the Presidency priorities; 3) utilizing the institution’s capabilities; 4) conformity of the role chosen by the Presidency (organizer, mediator, political leader, national representative) to the combination of external and internal conditions.

Russia took over the responsibility for coordinating the G20 work from Mexico, accepting the rotating presidency of this premier forum for economic cooperation on December 1, 2012. The G20 met the fifth year of its work under conditions of a two speed recovery which by March 2013 transformed into a three speed recovery. Unsteady and sluggish growth, persisting imbalances and downside global economy risks demanded that this forum of the world largest economies concentrate the efforts on developing a set of measures aimed at boosting sustainable, inclusive and balanced growth and jobs creation around the world. These priorities constituted the core of the Russian G20 presidency concept, aimed at ensuring sustainable global growth and rebuilding of trust between the world economy different agents in accordance with the G20 mission and capability.

Consolidating efforts on its core economic and financial priorities, the G20 also launched collaboration to overcome such risks as increasing income disparities, chronic underinvestment into development of safe, secure and modern infrastructure, unforeseen consequences of regulation.

The analysis findings reveal that the Russian presidency managed to ensure a good balance of national interests and the partners’ prioritiesin the G20 agenda; utilizing the G20 capabilities to respond to the key global governance challenges. The choice of the presidency role depended on the nature of the issues and was defined by a combination of internal and external conditions. Thus, the acuteness of the problem for all summit participants determined demand for leadership in including into the economic forum agenda the debate on a peaceful resolution of the conflict in Syria. On employment and social policies the Russian presidency combining the roles of an organizer and a political leader helped upgrade the G20 dialogue to a new quality level.

A major success factor in deliberation and adoption of the comprehensive action plan on base erosion and profit shifting was the OECD capability to take responsibility for the plan development. With the OECD leadership, solid experts’ foundation, and a high level of relevance of the problem for all members, the presidency supported the process as the organizer.

On the topic of stimulating long-term investment, a priority for Russia as well as most of the G20 partners, the presidency managed to consolidate the efforts of several international institutions over a short period. On this priority, as well as on the financial regulation reform, the presidency acted as a representative of the national interests and an organizer. In developing the new development strategy the choice in favor of a combination of a mediator and an organizer proved most productive. As a result the G20 agreed a new cooperation for development outlook.

The presidency active collaboration with the international organizations and engagement with social partners was instrumental in harnessing their experts’ potential and enhancing the G20 transparency, legitimacy and effectiveness. The G20 institutions consolidation continued through development of new coordination mechanisms and strengthening accountability.

Under the Russian presidency the G20 reaffirmed its value as the premier economic cooperation forum. Emphasizing restoring strong and inclusive growth and employment while ensuring fiscal sustainability, the leaders for the first time in the history of the G20 stressed that the well-being of individual people should be at the center of the growth agenda. This consequential outcome of the five years collaboration might be a start of a new G20 agenda where inclusiveness is one of the pillars of growth.

A model for organizing cargo transportation between two node stations connected by a railway line which contains a certain number of intermediate stations is considered. The movement of cargo is in one direction. Such a situation may occur, for example, if one of the node stations is located in a region which produce raw material for manufacturing industry located in another region, and there is another node station. The organization of freight traﬃc is performed by means of a number of technologies. These technologies determine the rules for taking on cargo at the initial node station, the rules of interaction between neighboring stations, as well as the rule of distribution of cargo to the ﬁnal node stations. The process of cargo transportation is followed by the set rule of control. For such a model, one must determine possible modes of cargo transportation and describe their properties. This model is described by a ﬁnite-dimensional system of diﬀerential equations with nonlocal linear restrictions. The class of the solution satisfying nonlocal linear restrictions is extremely narrow. It results in the need for the “correct” extension of solutions of a system of diﬀerential equations to a class of quasi-solutions having the distinctive feature of gaps in a countable number of points. It was possible numerically using the Runge–Kutta method of the fourth order to build these quasi-solutions and determine their rate of growth. Let us note that in the technical plan the main complexity consisted in obtaining quasi-solutions satisfying the nonlocal linear restrictions. Furthermore, we investigated the dependence of quasi-solutions and, in particular, sizes of gaps (jumps) of solutions on a number of parameters of the model characterizing a rule of control, technologies for transportation of cargo and intensity of giving of cargo on a node station.

Let k be a field of characteristic zero, let G be a connected reductive algebraic group over k and let g be its Lie algebra. Let k(G), respectively, k(g), be the field of k- rational functions on G, respectively, g. The conjugation action of G on itself induces the adjoint action of G on g. We investigate the question whether or not the field extensions k(G)/k(G)^G and k(g)/k(g)^G are purely transcendental. We show that the answer is the same for k(G)/k(G)^G and k(g)/k(g)^G, and reduce the problem to the case where G is simple. For simple groups we show that the answer is positive if G is split of type A_n or C_n, and negative for groups of other types, except possibly G_2. A key ingredient in the proof of the negative result is a recent formula for the unramified Brauer group of a homogeneous space with connected stabilizers. As a byproduct of our investigation we give an affirmative answer to a question of Grothendieck about the existence of a rational section of the categorical quotient morphism for the conjugating action of G on itself.

Let G be a connected semisimple algebraic group over an algebraically closed field k. In 1965 Steinberg proved that if G is simply connected, then in G there exists a closed irreducible cross-section of the set of closures of regular conjugacy classes. We prove that in arbitrary G such a cross-section exists if and only if the universal covering isogeny Ĝ → G is bijective; this answers Grothendieck's question cited in the epigraph. In particular, for char k = 0, the converse to Steinberg's theorem holds. The existence of a cross-section in G implies, at least for char k = 0, that the algebra k[G]G of class functions on G is generated by rk G elements. We describe, for arbitrary G, a minimal generating set of k[G]G and that of the representation ring of G and answer two Grothendieck's questions on constructing generating sets of k[G]G. We prove the existence of a rational (i.e., local) section of the quotient morphism for arbitrary G and the existence of a rational cross-section in G (for char k = 0, this has been proved earlier); this answers the other question cited in the epigraph. We also prove that the existence of a rational section is equivalent to the existence of a rational W-equivariant map T- - - >G/T where T is a maximal torus of G and W the Weyl group.