There are no magnetically charged particle-like solutions of the Einstein Yang-Mills equations for Abelian models

We prove that there are no magnetically charged particle-like solutions for Abelian models in Einstein Yang-Mills, but for non-Abelian models the possibility remains open. An analysis of the Lie algebraic structure of the Yang-Mills fields is essential to our results. In one key step of our analysis we use invariant polynomials to determine which orbits of the gauge group contain the possible asymptotic Yang-Mills field configurations. Together with a new horizontal/vertical space decomposition of the Yang-Mills fields this enables us to overcome some obstacles and complete a dynamical system existence theorem for asymptotic solutions with nonzero total magnetic charge. We then prove that these solutions cannot be extended globally for Abelian models and begin an investigation of the details for non-Abelian models.Comment: 48 pages, 1 figur

Model of expert assessment of psychic disorders in persons with dependence from psychoactive substances, who did criminal actions

Oliynyk O. P. Model of expert assessment of psychic disorders in persons with dependence from psychoactive substances, who did criminal actions. Journal of Education, Health and Sport. 2019;9(3):239-248. eISNN 2391-8306. DOI http://dx.doi.org/10.5281/zenodo.2592689 http://ojs.ukw.edu.pl/index.php/johs/article/view/6698 The journal has had 7 points in Ministry of Science and Higher Education parametric evaluation. Part B item 1223 (26/01/2017). 1223 Journal of Education, Health and Sport eISSN 2391-8306 7 © The Authors 2019; This article is published with open access at Licensee Open Journal Systems of Kazimierz Wielki University in Bydgoszcz, Poland Open Access. This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author (s) and source are credited. This is an open access article licensed under the terms of the Creative Commons Attribution Non commercial license Share alike. (http://creativecommons.org/licenses/by-nc-sa/4.0/) which permits unrestricted, non commercial use, distribution and reproduction in any medium, provided the work is properly cited. The authors declare that there is no conflict of interests regarding the publication of this paper. Received: 20.02.2019. Revised: 28.02.2019. Accepted: 13.03.2019. MODEL OF EXPERT ASSESSMENT OF PSYCHIC DISORDERS IN PERSONS WITH DEPENDENCE FROM PSYCHOACTIVE SUBSTANCES, WHO DID CRIMINAL ACTIONS O. P. Oliynyk State Enterprise "Research Institute of Psychiatry ", Kiev, Ukraine Abstract Background. Mental disorders as a result of various forms of addictions and high criminogenicity of such persons has led to the need for a number of legislative changes in the field of jurisprudence (law), medicine and expertise. Materials and methods. Mental state of 661 examinees persons was studied. The presence of states of dependence on psychoactive substances and their impact on the ability to apprehend the sense of one’s actions and manage (ASAM) them and apprehend the sense of one’s actions (ASA) was studied. Objective: to develop a model of forensic psychiatric expert assessment of the ability of persons with states of dependence on the psychoactive substances to apprehent their actions and (or) manage them in accordance with existing legislation. Results and conclusions. It was established that 1.1% of examenees could not ASAM completely in criminal proceedings, 93.2% could ASAM, and 5.7% could not ASAM. In the civil process, with a retrospective definition of the mental state at the time of the conclusion of an agreement, an expert decision on the significant impact of psychoactive substances was made in 45% of cases, on the preservation of the ability to ASAM - 31.7%, of the inability to ASAM - 23.3%. This testifies to the non-use of expert practice in making decisions on "restraint locus standi” in the widespread use of the category of "limited capacity" in the civil process, which leads to an unjustified restriction of judges in choosing medical and legal measures for the prevention of repeated crimes by persons with states of dependence on psychoactive substances. Key words: dependence on psychoactive substance, mental disorder, crime, forensic psychiatric examination

A Metric for Gradient RG Flow of the Worldsheet Sigma Model Beyond First Order

Tseytlin has recently proposed that an action functional exists whose gradient generates to all orders in perturbation theory the Renormalization Group (RG) flow of the target space metric in the worldsheet sigma model. The gradient is defined with respect to a metric on the space of coupling constants which is explicitly known only to leading order in perturbation theory, but at that order is positive semi-definite, as follows from Perelman's work on the Ricci flow. This gives rise to a monotonicity formula for the flow which is expected to fail only if the beta function perturbation series fails to converge, which can happen if curvatures or their derivatives grow large. We test the validity of the monotonicity formula at next-to-leading order in perturbation theory by explicitly computing the second-order terms in the metric on the space of coupling constants. At this order, this metric is found not to be positive semi-definite. In situations where this might spoil monotonicity, derivatives of curvature become large enough for higher order perturbative corrections to be significant.Comment: 15 pages; Erroneous sentence in footnote 14 removed; this version therefore supersedes the published version (our thanks to Dezhong Chen for the correction

On all possible static spherically symmetric EYM solitons and black holes

We prove local existence and uniqueness of static spherically symmetric solutions of the Einstein-Yang-Mills equations for any action of the rotation group (or SU(2)) by automorphisms of a principal bundle over space-time whose structure group is a compact semisimple Lie group G. These actions are characterized by a vector in the Cartan subalgebra of g and are called regular if the vector lies in the interior of a Weyl chamber. In the irregular cases (the majority for larger gauge groups) the boundary value problem that results for possible asymptotically flat soliton or black hole solutions is more complicated than in the previously discussed regular cases. In particular, there is no longer a gauge choice possible in general so that the Yang-Mills potential can be given by just real-valued functions. We prove the local existence of regular solutions near the singularities of the system at the center, the black hole horizon, and at infinity, establish the parameters that characterize these local solutions, and discuss the set of possible actions and the numerical methods necessary to search for global solutions. That some special global solutions exist is easily derived from the fact that su(2) is a subalgebra of any compact semisimple Lie algebra. But the set of less trivial global solutions remains to be explored.Comment: 26 pages, 2 figures, LaTeX, misprints corrected, 1 reference adde

A rigorous formulation of the cosmological Newtonian limit without averaging

We prove the existence of a large class of one-parameter families of cosmological solutions to the Einstein-Euler equations that have a Newtonian limit. This class includes solutions that represent a finite, but otherwise arbitrary, number of compact fluid bodies. These solutions provide exact cosmological models that admit Newtonian limits but, are not, either implicitly or explicitly, averaged

Метод нелінійних паралельних сценаріїв в постмодерністичному інтер’єрі

The method of the work of an architect on interior design in the style of post–modernism is considered as an example by the design–project of cafe "Shokoko" of "Group Bondarenko", Kharkiv; the modelling of non–linear scenarios of perception of such object is described.Рассматривается методика работы архитектора при разработке интерьера в стиле постмодернизма на примере проекта кафе «Шококо» харьковской «Группы Бондаренко», описываются способы построения нелинейных сценариев восприятия такого объекта.Розглядається методика роботи архітектора при розробці інтер’єрів у стилі постмодернізму на прикладі проекту кафе «Шококо» харківської «Групи Бондаренко», описані засоби побудови нелинійних сценаріїв сприйняття такого об’єкту

Model of expert assessment of psychic disorders in persons with dependence from psychoactive substances, who did criminal actions

Background. Mental disorders as a result of various forms of addictions and high criminogenicity of such persons has led to the need for a number of legislative changes in the field of jurisprudence (law), medicine and expertise. Materials and methods. Mental state of 661 examinees persons was studied. The presence of states of dependence on psychoactive substances and their impact on the ability to apprehend the sense of one’s actions and manage (ASAM) them and apprehend the sense of one’s actions (ASA) was studied. Objective: to develop a model of forensic psychiatric expert assessment of the ability of persons with states of dependence on the psychoactive substances to apprehent their actions and (or) manage them in accordance with existing legislation. Results and conclusions. It was established that 1.1% of examenees could not ASAM completely in criminal proceedings, 93.2% could ASAM, and 5.7% could not ASAM. In the civil process, with a retrospective definition of the mental state at the time of the conclusion of an agreement, an expert decision on the significant impact of psychoactive substances was made in 45% of cases, on the preservation of the ability to ASAM - 31.7%, of the inability to ASAM - 23.3%. This testifies to the non-use of expert practice in making decisions on "restraint locus standi” in the widespread use of the category of "limited capacity" in the civil process, which leads to an unjustified restriction of judges in choosing medical and legal measures for the prevention of repeated crimes by persons with states of dependence on psychoactive substances

Global behavior of solutions to the static spherically symmetric EYM equations

The set of all possible spherically symmetric magnetic static Einstein-Yang-Mills field equations for an arbitrary compact semi-simple gauge group $G$ was classified in two previous papers. Local analytic solutions near the center and a black hole horizon as well as those that are analytic and bounded near infinity were shown to exist. Some globally bounded solutions are also known to exist because they can be obtained by embedding solutions for the $G=SU(2)$ case which is well understood. Here we derive some asymptotic properties of an arbitrary global solution, namely one that exists locally near a radial value $r_{0}$, has positive mass $m(r)$ at $r_{0}$ and develops no horizon for all $r>r_{0}$. The set of asymptotic values of the Yang-Mills potential (in a suitable well defined gauge) is shown to be finite in the so-called regular case, but may form a more complicated real variety for models obtained from irregular rotation group actions.Comment: 43 page

АНАЛІЗ НОРМАТИВНО-ПРАВОВОЇ БАЗИ ФАРМАЦЕВТИЧНОГО ЗАБЕЗПЕЧЕННЯ НАСЕЛЕННЯ В УМОВАХ ЛІКВІДАЦІЇ НАСЛІДКІВ РАДІАЦІЙНИХ АВАРІЙ

Мета роботи. Аналіз сучасного стану законодавчих і нормативно-правових актів у галузі радіаційної безпеки та обґрунтування необхідності вдосконалення нормативної бази з організації фармацевтичного забезпечення населення в умовах надзвичайних ситуацій радіаційного походження. Матеріали і методи. У роботі використано законодавчі акти та нормативно-правові документи в галузі радіаційної безпеки, які стосуються фармацевтичного забезпечення населення в умовах надзвичайних ситуацій радіаційного походження в Україні і зарубіжних країнах. Використовували методи системного підходу, бібліографічного аналізу і контент-аналізу. Результати й обговорення. Проведено аналіз сучасного стану законодавчих та нормативно-правових актів і методичних матеріалів у галузі радіаційної безпеки населення України щодо засад державного управління з організації повного і своєчасного постачання лікарняних  закладів і медичних формувань лікарськими засобами та предметами медичного призначення для профілактики і лікування радіаційних уражень у період ліквідації наслідків радіаційних аварій. Висновки. На основі проведених досліджень встановлено, що нормативно-правового врегулювання потребують питання фармацевтичного забезпечення профілактики і лікування радіаційних уражень в період ліквідації наслідків радіаційних аварій мирного і воєнного часу. Необхідне наукове обґрунтування нових концептуальних підходів щодо вдосконалення системи фармацевтичного забезпечення радіаційної безпеки населення при перегляді вітчизняної нормативної бази і приведенні її до вимог документів міжнародних організацій