A Poincar\'e section for the general heavy rigid body

A general recipe is developed for the study of rigid body dynamics in terms of Poincar\'e surfaces of section. A section condition is chosen which captures every trajectory on a given energy surface. The possible topological types of the corresponding surfaces of section are determined, and their 1:1 projection to a conveniently defined torus is proposed for graphical rendering.Comment: 25 pages, 10 figure

Ivan Tatarinov, Organ

Praeludium in e minor ( Big ) / Nicolaus Bruhns; Trio-sonata in e minor BWV 528 / Johann Sebastian Bach; Dieu parmi nous from La Nativité du Seigneur”(1935) / Olivier Messiaen; Preludes Op. 103 Nos. 2, 3 ( Imitating Old Masters ) / Mikael Tariverdiev; Fantasy and fugue on choral Ad nos, ad salutarem undam S. 259 (edited by Karl Straube) / Franz Lisz

MODELLING OF STRASS-STAIN STATE IN EPICENTRAL ZONE OF STRONG EARTHQUAKE

This article describes the results of modeling the stress-strain state of the epicentral earthquake zone, which occurred on December 26, 2003 in the southeast of Iran in the province of Kerman (Bam), before and after the formation of the fault. It is shown that the main earthquake shock is located in the zone of high intensity of stresses, and the formed fault traces this zone on the surface and corresponds to its extent. Aftershocks are localized in the area of the maximum released stress intensity after the formation of the fault. Stress release stimulates the discharge of accumulated tectonic stresses in the subsequent aftershock process. The results obtained can be useful for deterministic approach to assessment and prediction of seismic hazard, as well as for geophysical observations clearly suited for the goal of predicting strong crustal earthquakes in continental regions.

DEFORMATION TRANSVERSE SHEAR BENDING STATE OF A THIN PLATE LAYER OF AN ANISOTROPIC GEOLOGICAL MEDIUM FROM THE ACTION OF CONCENTRATED ENERGY IMPULSES

A method is proposed for study the structural stability of the deformation state of structural blocks of the earth's crust, approximated in the form of plate layers of the geological medium when transverse shear bending from the action of concentrated energy impulses. Advances here are carried out in the two directions. First, in contrast to the previous article, the physical and mechanical model of the geological medium is endowed with anisotropic properties, which makes it possible to increase the adequacy of the obtained numerical results to the specifics of the real problem. Secondly, instead of the simplest bilinear 4-node finite elements, the special spectral non-algebraic 8-node finite iso-parametric finite elements are used, the use of which significantly increases both the accuracy of calculations and their reliability in the sense of ensuring the robustness of calculations for relatively small values of the plate thickness. It should be noted that the Finite Element Method uses exclusively only algebraic finite elements (power polynomials in the h-version and orthogonal polynomials in the p-version). It is known from approximation theory that the use of spectral non-algebraic approximations improves the quality of approximations. Therefore, their introduction into the structure of finite element calculations can improve the quality of modeling in the study of the strain-stress-state (SSS) of the geological medium. A structural block (SB) is understood as a plate layer with plan dimensions exceeding the thickness by more than 10 times. The identification of hazardous zones in the rock massive due to stress concentration is complemented by the development of mechanical, mathematical and computational tools for modeling the curvature of the earth's crust during bending based on the classical theory of Kirchhoff and refined Reissner-Mindlin theory. Test calculations have shown that the accuracy of the calculation and the quality of geometric modeling of fragments of an anisotropic geological environment based on the refined 8-node spectral finite element is significantly better than for the 8-node algebraic finit

THE ASSESSMENT OF HEAVY METALS POLLUTION OF WATER BODIES AND SOIL IN THE ZONE OF ECOLOGICAL DISASTER (CITY KARABASH)

The report gives intermediate results of research carried out as the start of the INTAS Project “Strategy development for long term pollution control in regions of extreme environmental risk (ENVRISK)” The work on the project is a logical continuation of the research by project INCO-Copernicus TOXICAL (Contract No ICA2- CT2001-0016) [Ref. to preceding Conference] [14]. The major goal of the work is to elaborate a strategy and methods of pollution assessment and monitoring of Argazinskoye water storage basin, which is a reserve of drinking water supply for he city of Chelyabinsk in order to take steps for mitigating the health risk of the population of the region. The Russian project participants of the United Institute of Physics of the Earth, Russian Academy of Sciences, were presented with the following tasks. ? Grading and summing up the available data on the geological and tectonic structure and heavy metal pollution of the region; ? To substantiate field observation stations network and points of sampling of soil, biomass and surface water for laboratory analysis of heavy metal content; ? Rating stations of monitoring surface water pollution by neutron logging in relation to ecological conditions of the region; ? To obtain data on areal distribution of heavy metals pollution of soils, underground water and biomass; ? To elaborate a model of major pollutants spreading with surface runoff and hydrology system of the region on the basis of GIS technologies; ? To work out recommendations for local authorities to minimize health risk of the population. Currently a map of sampling has been made, sampling techniques have been elaborated in compliance with effective norms (GOST), samples processing and partial chemical analysis have been carried out. Some results of the research are given below

Aspects of the Activities of the Russian Command in the Lower Danube during the First World War

The region of the lower Danube has always been of great strategic importance. During the First World War, there were important military bases of the Russian Empire, so the Russian command took measures to protect the region. The article analyzes the military-strategic planning in the region on the eve of the war. The history of the activity of the Expedition of Special Purpose on the Danube is studied. The author, on the basis of archival documents, studied defense works on the lower Danube and the involvement of local people on them

Analysis of the Size of the Carcinoembryonic Antigen (CEA) Gene Family

Five members of the human CEA gene family [human pregnancy-specific β1-glycoprotein (PSβG), hsCGM1, 2, 3 and 4] have been isolated and identified through sequencing the exons containing their N-terminal domains. Sequence comparisons with published data for CEA and related molecules reveal the existence of highly-conserved gene subgroups within the CEA family. Together with published data eleven CEA family members have so far been determined. Apart from the highly conserved coding sequences, these genes also show strong sequence conservation in their introns, indicating a duplication of whole gene units during the evolution of the CEA gene family

Search for New Light Bosons in Higgs Boson Decays

The Standard Model (SM) of particle physics is a theory that summarizes our current knowledge about the most fundamental constituents of matter and interactions between them. The Higgs boson is a central part of the SM as it provides masses to all other particles. After many decades of searches for it, on the 4th of July 2012 CERN announced a discovery of a new particle by CMS and ATLAS collaborations at the Large Hadron Collider (LHC). The properties of the new particle and the properties of the Higgs boson predicted by the SM are consistent at the level of precision of current measurements. The extensive physics program of the LHC experiments includes searches for new physics beyond the SM which complement further precision measurements of the properties of the new particle. These searches may lead to earlier confirmation that the particle is not the SM Higgs boson in case the new physics is found. This dissertation is dedicated to a search for decays of the newly discovered particle to pairs of new light bosons, each of which decays into the μ+μ- final state. The data set corresponds to an integrated luminosity of 5.3 fb^-1 of proton-proton collisions at √s = 7 TeV, recorded by the CMS experiment at the LHC in 2011. No excess of events above the SM predictions is observed. A model-independent upper limit of 0.86 fb on the product of the cross section times branching fraction times acceptance is set. The obtained limit is applicable to models where the new light bosons have lifetimes corresponding to flight distances within a few cm from the proton beamline before their decay. The recipe for application of the results to an arbitrary model with the same final state is provided. Interpretation of the results in the context of two benchmark models significantly surpasses the sensitivity of previous similar searches