Moon-type theorems on circuits in strongly connected tournaments of order NN and diameter DD

Let $T$ be a strongly connected tournament of order $n\ge 4$ whose diameter does not exceed $d\ge 3.$ Denote by $c_{\ell}(T)$ the number of circuits of length $\ell$ in $T.$ In our recent paper, we construct a strongly connected tournament $T_{d,n}$ of order $n$ with diameter $d$ and conjecture that $c_{\ell}(T)\ge c_{\ell}(T_{d,n})$ for any $\ell=3,...,n.$ In particular, for $d=n-1,$ this inequality is true and yields the known Moon (lower) bound $c_{\ell}(T)\ge n-\ell+1.$ Moreover, we suggest that if $n+3\le 2d,$ then for any given $\ell$ taken in the range $n-d+3,...,d,$ the equality $c_{\ell}(T)=c_{\ell}(T_{d,n})$ implies that $T$ is isomorphic to $T_{d,n}$ or its converse $T_{d,n}^{-}.$ For $d=n-1,$ the corresponding particular statement is nothing else than Las Vergnas' theorem. Recently, we have confirmed the posed conjecture for the case $d=n-2.$ In the present paper, we show that it is also true for $d=n-3.

On the number of 8-cycles for two particular regular tournaments of order N with diametrically opposite local properties

For a regular tournament $T$ of order $n,$ denote by $c_{8}(T)$ the number of cycles of length $8$ in $T.$ Let $DR_{n}$ be a doubly-regular tournament of order $n\equiv 3\mod4$ (so, the out-sets and in-sets of its vertices are also regular and hence, contain the maximum possible number of cyclic triples) and $RLT_{n}$ be the unique regular locally transitive tournament of (odd) order $n$ (so, the out-sets and in-sets of its vertices are transitive and hence, contain no cyclic triples, at all). Some arguments based on the spectral properties of tournaments allow us to suggest that $c_{8}(T) \le c_{8}(RLT_{n}),$ where $n$ is sufficiently large. This restriction on $n$ is essential because our computer processing of B. McKay's file of tournaments implies that for $n=9,11,13,$ the maximum of $c_{8}(T)$ is attained at tournaments with regular structure of the out and in-sets of their vertices. In the present paper, we show that $c_{8}(DR_{n})$ does not depend on a particular choice of $DR_{n}$ and determine expressions for $c_{8}(DR_{n})$ and $c_{8}(RLT_{n}).$ They are both polynomials of degree $8$ in $n.$ Comparing $c_{8}(DR_{n})$ with $c_{8}(RLT_{n})$ yields the inequality $c_{8}(DR_{n})>c_{8}(RLT_{n})$ for $11\le n\le 35,$ while $c_{8}(RLT_{n}) > c_{8}(DR_{n})$ for $n\ge 39.$ This allows us to treat the value $n=39$ as the point of phase transition in the local properties of maximizers and minimizers of $c_{8}(T)$ in the class of regular tournaments of order $n.

Disposal of Liquid Combustible Wastes using Flameless Burners with Porous Carbon Matrix

Two modifications of flameless burners with a carbon porous media in the combustion area were investigated. Kerosene TS-1 and mixtures of highly flammable liquids wastes (HIL) were used as fuel. Experimental data are presented in a graphical form as plot of the burner thermal capacity. Results show capacity for of the developed devices and prove the prospects of disposal of liquid combustible wastes using flameless burners with porous carbon matrix

The influence of porosity on the elasticity and strength of alumina and zirconia ceramics

This work investigates the behavior of porous alumina (with the porosity ranging from 18% to 70%) and zirconia (with the porosity ranging from 10% to 60%) ceramics when subjected to deformation by compression and shearing. The analysis of stress-strain curves showed that there is a transition from a typical brittle state for relatively dense ceramics, to a pseudo-plastic one for ceramics with high porosity. The values of the effective Young’s modulus, effective shear modulus and Poisson’s ratio decrease with the increase of the pore space volume of ceramics, which correlates with the appearance of multiple cracking during the deformation of the high porosity ceramics

Barless flocculent galaxies: a dynamic puzzle

We draw attention to the bright galaxies that do not show a bar in their structure but have a flocculent spiral structure. Using the THINGS' and HERACLES' kinematic data for four barless galaxies (NGC~2841, NGC~3512, NGC~5055, NGC~7331) we built their mass models including dark halos. We concluded that the fraction of the dark matter does not exceed 50\% within the optical radii of the galaxies. This is too little to explain the lack of a bar in these galaxies. In an attempt to understand the featureless structure of these galaxies we constructed several $N$-body models with an initially reduced content of dark matter. We concluded that, in addition to the low mass of the dark halo, the decisive factor that leads to a barless disc is the start from an initially unstable state. An isolated dynamically cold disc (with the Toomre parameter $Q < 0.5$) settled into rotational equilibrium passes trough the short stage of violent instability with fragmentation and formation of stellar clumps. After that, it evolves passively and ends up with a featureless structure. We assume that the barless flocculent galaxies studied in the present work may be descendants of galaxies at high redshifts with rotation curves which are consistent with the high mass fraction of baryons relative to the total dark matter halo.Comment: 18 page

RELIGION IN PERCEPTION OF RUSSIAN YOUTH: FIGURES AND COMMENTS

Цель. Исследовать показатели религиозности/нерелигиозности современной российской молодежи.Методы проведения работы. На основе материалов социологического опроса «Религиозные ориентиры современного студенчества» изучается отношение молодых людей в современной России к религии, вере и атеизму. Используются качественные и количественные методы сбора и анализа результатов исследования. Работа проводилась с применением общенаучных методов познания общественных явлений (анализа, аналогии, сравнения и др.) с опорой на методологические положения и выводы, в которых этноконфессиональная динамика признается целостным процессом. Такое понимание потребовало применения системного подхода.Результаты. Выявляются сложные противоречия в восприятии молодыми людьми религиозных феноменов современного общества. Особое внимание уделяется оценочным позициям студентов в отношении религиозности, атеизма, христианства, ислама и иных религий.Область применения результатов. Молодежная политика в сфере этноконфенссиональных отношений. Материалы статьи могут быть использованы в образовательном процессе высших и средних учебных заведений в ходе преподавания гуманитарных дисциплин. На фоне дискуссий о клерикализации образования приставленные в статье результаты исследования помогут грамотно выстроить учебные курсы.Purpose. To research indexes of religiousness/irreligiousness of modern Russian youth.Methodology. On the basis of sociological poll “Religious reference points of modern students” the relation of young people in modern Russia to religion, belief and atheism is studied. Qualitative and quantitative methods of collecting and analysis of research results of are used. Work was carried out with application of general scientific methods of social phenomena knowledge (analysis, analogy, comparison, etc.) with support on methodological provisions and conclusions recognizing ethno confessional dynamics as complete process. Such understanding demanded application of system approach.Results. Difficult contradictions in young people perception of modern society religious phenomena come to light. Special attention is paid to critical estimated students positions concerning religiousness, atheism, Christianity, Islam and other religions.Practical implications. Youth policy in sphere of the ethno-religious relations

ETHNO-CULTURAL ASPECTS OF SOCIAL INTERACTION IN LAW ENFORCEMENT FIELD

Цель. Установить особенности правоохранительной деятельности в многоэтничном сообществе и на этой основе определить возможности совершенствования работы полиции в условиях поликультурности.Методы проведения работы. Исследовательская работа проводилась с применением общенаучных методов познания общественных явлений (анализа, аналогии, сравнения и др.) с опорой на методологические положения и выводы, в которых этнокультурные процессы признаются целостным, но противоречивым явлением. Такое понимание обусловило использование системного и диалектического подходов.Эмпирическую базу статьи составили материалы интервью «Этническая проблематика в работе сотрудника полиции», проведенного в период с октября 2016 по май 2017. Исследование проводилось в Приволжском федеральном округе на базе Нижегородской академии МВД России среди офицеров полиции из числа среднего и старшего начальствующего состава, обучающихся на факультете повышения квалификации и в адъюнктуре Академии и представляющих различные регионы России: Нижегородскую область, Московскую область, Краснодарский край, Пермский край, Красноярский край, Ставропольский край и др. Целевая выборка – 134 чел.Результаты. Выявляются сложные противоречия, сопутствующие полиэтнизации российского общества, анализируется влияние этих противоречий на правоохранительную практику. На основе материалов отечественных и зарубежных исследований раскрываются различные аспекты деятельности сотрудников полиции в условиях этнической гетерогенности. Представлен эмпирический анализ особенностей правоохранительной деятельности в обстоятельствах культурной разнородности. Осуждаются этнокультурные аспекты подготовки сотрудников ОВД в образовательных заведениях МВД России. Определяются векторы кросскультурного взаимодействия в работе сотрудника полиции.Область применения результатов. Результаты работы предназначены для совершенствования работы правоохранительных органов в условиях этнокультурной разнородности.Purpose. To show problems of law-enforcement activity in multiethnic community and to define on this basis possibilities of police work improvement in culture diversity conditions.Methodology. The study was carried out with application of general scientific methods of social phenomena knowledge (analysis, analogy, comparison, etc.) with a support on methodological provisions and conclusions recognizing ethnocultural social processes as a complete, but contradictory phenomenon. Such understanding caused use of system and dialectic approach.The empirical base of article includes materials of interview “Ethnic prodlems in police officer activity” (October, 2016 – May, 2017). The research was conducted in Volga Federal District on basis of Nizhny Novgorod Academy of Ministry of Internal Affairs of Russia among police officers from among average and the senior commanding structure studying at the departement of professional development and at the graduate military course in Academy and representing various regions of Russia: Nizhny Novgorod Region, Moscow region, Krasnodar Krai, Perm Krai, Krasnoyarsk Krai, Stavropol Krai, etc. Target selection – 134 persons.Results. The difficult contradictions accompanying the society polietnization come to light, an influence of these contradictions on activity law-enforcement practice is analyzed. On the basis of Russian and foreign researches materials theoretical aspects of police officers activity in conditions of ethnic heterogeneity are revealed. The empirical analysis of law-enforcement activity in cultural heterogeneity circumstances is submitted. Ethnocultural aspects of police officers training in educational institutions of the Ministry of Internal Affairs of Russia are condemned. Vectors of cross-cultural communication in police officer work are defined.Practical implications. Results of work are intended for improvement of law-enforcement system work in conditions of ethnocultural heterogeneity