Rate of Convergence of Space Time Approximations for stochastic evolution equations

Stochastic evolution equations in Banach spaces with unbounded nonlinear drift and diffusion operators driven by a finite dimensional Brownian motion are considered. Under some regularity condition assumed for the solution, the rate of convergence of various numerical approximations are estimated under strong monotonicity and Lipschitz conditions. The abstract setting involves general consistency conditions and is then applied to a class of quasilinear stochastic PDEs of parabolic type.Comment: 33 page

Abelian groups as artinian or noetherian modules above endomorphism rings

The A and B Abellian groups, such that the Hom(A, B) homomorphism group is the Artin module over the ring of the B group endomorphism, are described. Description of the A and B group for which the Hom(A,B) group is the Artin module over the ring of the A group endomorphism is reduced to the case when the A group has no torsion and the B group is either a quasi-cyclic group or a divisible group without torsion. The A and B Abellian groups for which the Hom(A,B) group is the Neter module over the E(A) or E(B) ring are characterized. The research of arbitrary Abellian group with the link Neter ring of endomorphisms is reduced to the research of the group without torsion with the link Neter ring of endomorphisms. The research of the right Neter ring of endomorphisms remained uncompleted. The separable Abele groups without torsion with the link and right Neter rings of endomorphisms are described

A Design of a Material Assembly in Space-Time Generating and Storing Energy

The paper introduces a theoretical background of the mechanism of electromagnetic energy and power accumulation and its focusing in narrow pulses travelling along a transmission line with material parameters variable in 1D-space and time. This mechanism may be implemented due to a special material geometry- a distribution of two different dielectrics in a spatio-temporal checkerboard. We concentrate on the practically reasonable means to bring this mechanism into action in a device that may work both as energy generator and energy storage. The basic ideas discussed below appear to be fairly general; we have chosen their electromagnetic implementation as an excellent framework for the entire concept

Identification of antischistosomal leads by evaluating peroxides of beta-dicarbonyl compounds and their heteroanalogs : bridged 1,2,4,5-tetraoxanes and alphaperoxides, and beta,delta-triketones: tricyclic monoperoxides

Although antischistosomal properties of peroxides were studied in recent years, systematic structure-activity relationships have not been conducted. We evaluated the antischistosomal potential of 64 peroxides belonging to bridged 1,2,4,5-tetraoxanes, alphaperoxides and beta,delta-triketones. Thirty-nine compounds presented IC50 values > 15 microM on newly transformed schistosomula. Active drugs featured phenyl-, adamantane- or alkyl residues at the methylene bridge. Lower susceptibility was documented on adult schistosomes, with most hit compounds being tricyclic monoperoxides (IC50: 7.7-13.4 microM). A bridged 1,2,4,5-tetraoxane characterized by an adamantane residue showed the highest activity (IC50: 0.3 microM) on adult Schistosoma mansoni. Studies with hemin and heme supplemented medium indicated that antischistosomal activation of peroxides is not necessarily triggered by iron porphyrins. Two compounds (tricyclic monoperoxide; bridged 1,2,4,5-tetraoxane) revealed high worm burden reductions in the chronic (WBR: 75.4-82.8 %) but only moderate activity in the juvenile (WBR:18.9-43.1%) S. mansoni mouse model. Our results might serve as starting point for the preparation and evaluation of related derivative

The level of somatic health, sports specialization and qualification of an athlete as indicators of intermediate selection in the mixed martial arts

This article presents the results of experimental research to identify high-priority types of martial arts whose representatives successfully implement their skills in mixed martial arts, as well as the results of the study of somatic healt

Electron energy relaxation under terahertz excitation in (Cd1−xZnx)3As2 Dirac semimetals

We demonstrate that measurements of the photo-electromagnetic effect using terahertz laser radiation provide an argument for the existence of highly conductive surface electron states with a spin texture in Dirac semimetals (Cd₁-xZnx)₃As

Materials based on BIFEVOX and bismuth or iron simple oxides nanopowders

Received: 22.09.2017; accepted: 17.10.2017; published: 20.10.2017.Compositions of composite materials based on BIFEVOX and nanopowders of bismuth and iron oxides have been obtained. The absence of chemical interaction between the components has been proved, the total electrical conductivity of materials in the average temperature region has been determined. It has been shown that under the selected formation conditions, it has not yet been possible to achieve significant improvement of the functional characteristics of heterogeneous compositions in comparison with individual phases. However positive results on chemical and structural stability give way to further investigations.The work was partially supported by the Scholarship of the President (SP-3376.2016.1) and Russian Foundation for Basic Research (project No 17-53-04098)

TOWARDS THE ISSUE ON DEMAND GENERATION IN THE SERVICE MARKET

The features of supply and demand in the service market, the main trends in the market of household services, its dynamics for the period from 2010 to the present in the Russian Federation have been considered. The level of influence of marketing tools on the customer’s perception (collaboration, full information about the service, advertising campaign, employee motivation, presentation of new products, etc.) has been studied, the results of the study have been given, the main measures for creating demand for a company providing consumer services, event budget have been defined. An economic assessment of the effectiveness of the proposed measures in the form of an expected increase in revenue and payback periods has been given. Using the proposed set of measures will allow you to actively influence the process of forming the company’s demand in the market of household services

Gas chromatographic-mass spectrometric analysis of high purity germane

Изучена возможность применения капиллярных адсорбционных колонок в сочетании с масс-спектрометрическим детектированием для определения содержания примесей в высокочистом германе. Исследовано влияние количества основного вещества на определение примесей. Увеличение количества дозируемого германа приводит к значительному уширению пиков примесей, расположенных на тыле его хроматографической полосы, и ограничивает снижение пределов их обнаружения. Исследован примесный состав германа. Определены примеси постоянных газов, углеводородов С₁-С₉, фтор-, хлорсодержащих и ароматических углеводородов, эфиров, сероводорода, гомологов германа, алкилпроизводных германа, хлоргермана. Примеси углеводородов С₆-С₉, тригермана, этилдигермана и ряда хлор-, фторсодержащих углеводородов определены впервые. Содержание отдельных примесей в германе высокой чистоты составляет 1.2∙10⁻³-2∙10⁻⁶ % об. Пределы обнаружения примесей составляют 5∙10⁻⁵-4∙10⁻⁸ % об. Достигнутые пределы обнаружения находятся на уровне лучших известных из литературы, а для ряда примесей ниже в 2-5000 раз. Правильность анализа подтверждена методом варьирования величины пробы и сравнением с результатами независимого газохроматографического анализа.The use of capillary adsorption columns in combination with mass spectrometric detection for determining the content of impurities in high-purity germane has been studied. The influence of the amount of the main substance on the separation and determination of impurities was investigated. Increase in the number of dosed germane leads to the substantial broadening of the peaks of impurities located at the end of its chromatographic band and limits the lowering of their limits of detection. The impurity composition of germane has been investigated. The impurities of permanent gases, hydrocarbons С₁-С₉, fluorine-, chlorine-containing and aromatic hydrocarbons, esters, hydrogen sulfide, homologs of germane, alkyl-derivatives of germane, and chlorogermane have been determined. It is for the first time that the impurities of С₆-С₉ hydrocarbons, trigermane, ethyl germane and a number of chlorine- and fluorine-containing hydrocarbons have been discovered. The content of the individual impurities in high-purity germane was 1.2∙10⁻³-2∙10⁻⁶ % vol. The achieved limits of detection correspond to the best results available in the literature and for a number of substances they are by 2-5000 times less. The accuracy of the analysis has been proven by the method of varying the sample volume and by comparison with the results of the independent gas-chromatographic analysis