S\mathcal{S}-Matrix of Nonlocal Scalar Quantum Field Theory in the Representation of Basis Functions

Nonlocal quantum theory of one-component scalar field in $D$-dimensional Euclidean spacetime is studied in representations of $\mathcal{S}$-matrix theory for both polynomial and nonpolynomial interaction Lagrangians. The theory is formulated on coupling constant $g$ in the form of an infrared smooth function of argument $x$ for space without boundary. Nonlocality is given by evolution of Gaussian propagator for the local free theory with ultraviolet form factors depending on ultraviolet length parameter $l$. By representation of the $\mathcal{S}$-matrix in terms of abstract functional integral over primary scalar field, the $\mathcal{S}$ form of a grand canonical partition function is found. And, by expression of $\mathcal{S}$-matrix in terms of the partition function, the representation for $\mathcal{S}$ in terms of basis functions is obtained. Derivations are given for discrete case where basis functions are Hermite functions, and for continuous case where basis functions are trigonometric functions. The obtained expressions for the $\mathcal{S}$-matrix are investigated within the framework of variational principle based on Jensen inequality. Equations with separable kernels satisfied by variational function $q$ are found and solved, yielding results for both the polynomial theory $\varphi^{4}$ and the nonpolynomial sine-Gordon theory. A new definition of the $\mathcal{S}$-matrix is proposed to solve additional divergences which arise in application of Jensen inequality for the continuous case. Analytical results are illustrated numerically. For simplicity of numerical calculation: the $D=1$ case is considered, and propagator for the free theory $G$ is in the form of Gaussian function typically in the Virton-Quark model. The formulation for nonlocal QFT in momentum $k$ space of extra dimensions with subsequent compactification into physical spacetime is discussed.Comment: 38 pages, 18 figures; v2: significant text editing; v3: text and plots edited, references and acknowledgments added; prepared for the special issue of the journal Particles in memory of G.V. Efimo

Analysis of Collectivism and Egoism Phenomena within the Context of Social Welfare

Comparative benefits provided by the basic social strategies including collectivism and egoism are investigated within the framework of democratic decision-making. In particular, we study the mechanism of growing "snowball" of cooperation.Comment: 12 pages, 5 figures. Translated from Russian. Original Russian Text published in Problemy Upravleniya, 2008, No. 4, pp. 30-3

Determination of operation parameters and indicators of surface miners in marble quarrying

The growth in marble quarrying requires the implementation at mining enterprises new high-performance equipment. In this connection, it is advisable to consider the possibility of use in the development of marble deposits surface milling miners. To improve the efficiency of their operation it is necessary develop a technique of operational definition of surface miners` basic parameters according to conditions existing at marble mining enterprises. Experience shows that when choosing miner`s model the determination of its parameters can be carried out using regression dependences. As a result of processing initial information about technical characteristics of surface miners the dependences determining connection between milling width, engine power and operating weight were obtained. In the largest Russian Koelginskoe marble deposit during 2014-2015 chronometer monitoring the work of surface milling miner Wirtgen 2500SM were conducted in different modes and conditions. In the study miner`s speed was varied from 7 to 9 m/min and cutting depth from 0.1 to 0.15 m. Surface miner worked according to the shuttle scheme with a turn at the end of the site. Rock was loaded into dump trucks with carrying capacity of 25-30 tons. Processing of observational results allowed to get dependence for the operational definition of miner`s performance in marble deposits developing. A nomogram for determining the engine power, weight and miner`s operational performance with different milling widths was constructed. Dependences obtained during the study can be used when selecting miner for a particular deposit, as well as when forecasting engine power, operating weight and performance of surface miner`s perspective models

FUNCTIONAL FOOD COMPOSITIONS BASED ON WHEY PROTEIN ISOLATE, FISH OIL AND SOY PHOSPHOLIPIDS

The aim of the research was to study the impact of whey protein isolate on the solubility and oxidative stability of the lipid composition based on soy phosphatidylcholine and fish oil. The relationship between the molecular parameters (density; ζ-potential) of the formed complex particles and their functional properties was found using laser light scattering (static, dynamic, electrophoretic) and spectrophotometry. The studied compositions could be used as the basis for the development of multifunctional food additives with an objective of the enrichment of foods and beverages with omega-3 polyunsaturated fatty acids (PUFAs). The main advantages of such composition are a high level of protection of the lipids against oxidation and degradation, a high solubility in an aqueous medium and the clean label.The aim of the research was to study the impact of whey protein isolate on the solubility and oxidative stability of the lipid composition based on soy phosphatidylcholine and fish oil. The relationship between the molecular parameters (density; ζ-potential) of the formed complex particles and their functional properties was found using laser light scattering (static, dynamic, electrophoretic) and spectrophotometry. The studied compositions could be used as the basis for the development of multifunctional food additives with an objective of the enrichment of foods and beverages with omega-3 polyunsaturated fatty acids (PUFAs). The main advantages of such composition are a high level of protection of the lipids against oxidation and degradation, a high solubility in an aqueous medium and the clean label

Surface modification of Nd-Fe-B based materials with pulsed helium plasma streams

X-ray amorphous Nd₂Fe₂₃B₃ phase have been synthesized under the interaction of accelerated helium plasma with Nd₈Fe₈₇B₅ and Nd₄,₅Fe₇₇B₁₈,₅ alloys. Microstructure and composition of modified layer have been examined.Рентгеноаморфна фаза Nd₂Fe₂₃B₃ синтезована при взаємодії імпульсних потоків гелієвої плазми зі сплавами Nd₈Fe₈₇B₅ і Nd₄,₅Fe₇₇B₁₈,₅. Досліджено мікроструктуру і склад модифікованого шару.Рентгеноаморфная фаза Nd₂Fe₂₃B₃ синтезирована при взаимодействии импульсных потоков гелиевой плазмы со сплавами Nd₈Fe₈₇B₅ и Nd₄,₅Fe₇₇B₁₈,₅,5. Исследованы микроструктура и состав модифицированного слоя

УСТРАНЕНИЕ ДЕФЕКТОВ ОСНОВАНИЯ ЧЕРЕПА И СРЕДНЕЙ ЗОНЫ ЛИЦА ПОСЛЕ ХИРУРГИЧЕСКОГО ЛЕЧЕНИЯ РАСПРОСТРАНЕННЫХ КРАНИОМАКСИЛЛЯРНЫХ ОПУХОЛЕЙ

Introduction. Performance the radical surgical treatment in patients with widespread cranio-maxillary tumors is followed by appearance of extensive defects.Objective. To explore the possibility of the applying the basic methods of eliminating defects cranio-maxillary localization after surgical treatment of tumors and their impact on quality of life and survival.Material and methods. The results of surgical treatment of 94 patients with the widespread cranio-maxillary tumors, depending on the performed type of the surgery and method of eliminating postoperative defects were analyzed.Results. Efficiency of different methods of reconstruction of defects of the midface and anterior skull base and their impact on quality of life and survival after the surgery were estimated. The use of general oncological methods in combination with the methods of the primary effectively correction of formed defects allows to achieve better results in the treatment of patients with widespread cranio-maxillary tumors. .Введение. Выполнение радикального оперативного пособия у пациентов с распространенными краниомаксиллярными опухолями сопровождается возникновением обширных дефектов.Цель исследования – изучить возможности применения основных методик устранения дефектов краниомаксиллярной локализации после хирургического лечения опухолей, их влияние на качество жизни и выживаемость.Материал и методы. Проанализированы результаты хирургического лечения 94 больных с распространенными краниомаксиллярными опухолями в зависимости от характера выполненного оперативного вмешательства, применяемой методики устранения послеоперационных дефектов.Результаты. Выполнена оценка эффективности использования различных методов в реконструкции дефектов средней зоны лица и основания черепа после хирургического лечения, их влияния на качество жизни и выживаемость. Применение онкологических методик в сочетании с первичным устранением образовавшихся дефектов позволяет добиться более высоких результатов лечения краниомаксиллярных опухолей

ФОРМИРОВАНИЕ ПУЛА МИТОХОНДРИАЛЬНОЙ ДНК БЕЛОРУССКИХ ТАТАР: ДАЛЬНИЕ МИГРАЦИИ И СМЕШЕНИЕ ГЕНОФОНДОВ

Belarusian Tatars are an ethnic group with an interesting population history: being descendants of the Golden Horde inhabitants, Belarusian Tatars have been living in the territory of present-day Belarus, Lithuania and Poland for 6 centuries. To figure out their phylogenetic relationships with other peoples, as well as the intensity of gene flow with the host population we have studied the mitochondrial DNA gene pool of Belarusian Tatars. Our data suggest an admixed nature of their matrilineal gene pool with some lineages being phylogenetically close to lineages from Siberia and Central Asia, while others having a Western-Eurasian origin. There is also evidence of women-driven gene flow from the Belarusians to the Belarusian Tatars.Белорусские татары – потомки переселенцев из Золотой Орды, проживающие на территории современной Беларуси уже более шести столетий, представляют собой народ с интересной популяционной историей. Для выявления их филогенетической близости с другими этносами, а также интенсивности генетического обмена с хозяйской популяцией нами было предпринято изучение генофонда белорусских татар по маркерам митохондриальной ДНК. Полученные результаты позволяют говорить о смешанном происхождении пула мтДНК белорусских татар: часть гаплотипов филогенетически близки к мтДНК из популяций Сибири и Центральной Азии, в то время как другая часть имеет западно-евразийское происхождение. Также найдены свидетельства потока генов по женской линии от белорусов к белорусским татарам