A Probabilistic proof of the breakdown of Besov regularity in LL-shaped domains

{We provide a probabilistic approach in order to investigate the smoothness of the solution to the Poisson and Dirichlet problems in $L$-shaped domains. In particular, we obtain (probabilistic) integral representations for the solution. We also recover Grisvard's classic result on the angle-dependent breakdown of the regularity of the solution measured in a Besov scale

A Comparison between Neural Networks and Traditional Forecasting Methods: A Case Study

Forecasting accuracy drives the performance of inventory management. This study is to investigate and compare different forecasting methods like Moving Average (MA) and Autoregressive Integrated Moving Average (ARIMA) with Neural Networks (NN) models as Feed-forward NN and Nonlinear Autoregressive network with eXogenous inputs (NARX). Data used to forecast is acquired from inventory database of Panasonic Refrigeration Devices Company located in Singapore. Results have shown that forecasting with NN offers better performance in comparison with traditional methods

THE EFFICIENCY OF CERTAIN PESTICIDE COMPLEXES ON THE HEALTH OF CERTAIN VARIETIES OF VINES CULTIVATED BY S.C.VIE VIN VANJU MARE COMPANY DURING 2016-2017

The long experience in the field of vines' phytoprotection is highlighted by the multitude of studies that wanted to elucidate certain aspects related to the biological efficiency of the various plant protection products according to the farming area and the cultivated variety. In this context, this study wanted to monitor the effect of some treatment regimes on the main phytoparasites of some varieties of vines (Fetească neagră, Cabernet sauvignon,Tămâioasă românească) cultivated by S.C. Vie Vin Vânju Mare company in the period 2016-2017

BiFS based approaches to remote display for mobile thin clients

Under the framework of the FP-7 European MobiThin project, the present study addresses the issue of remote display representation for mobile thin client. The main issue is to design a compressing algorithm for heterogeneous content (text, graphics, image and video) with low-complex decoding. As a first step in this direction, we propose a novel software architecture, based on BiFS - binary format for scenes (MPEG-4 Part 11). On the server side, the graphical content is parsed, converted and binary encoded into the BiFS format. This content is then streamed to the terminal, where it is played on a simple MPEG player. The viability of this solution is validated by comparing it to the most intensively used wired solutions, e.g. VNC - virtual network computing

The binding properties of some novel ruthenium (III) complexes with human serum transferrin

Aim. The transferrin cycle gained increased interest in recent years and it holds promise as an attractive system for strategies of drug targeting to tumors. Neoplasic cells exhibit a large demand of iron and therefore express highly transferrin receptors. As a consequence, transferrin conjugates can preferentially interact with cancer cells. This strategy is exploited nowadays for targeting novel anti-cancer drugs. Recent data showed that ruthenium (III) compounds possess antitumor and antimetastatic effects, due to their affinity for crucial biomolecules (like transferrin). Methods. The paper presents the transferrin-binding properties of some novel ruthenium (III) complexes with general formula RuL2 (DMSO) mCl3 ·nH2O ((Ru-nf) L: norfloxacin (nf), m = 1, n = 1; (Ru-cpx) L: ciprofloxacin (cpx), m = 2, n = 2; (Ru-oflo) L: ofloxacin (oflo), m = 1, n = 1; (Ru-levo) L: levofloxacin (Levo), m = 2, n = 8; (Ru-pip) L: pipemidic acid (pip), m = 1, n = 2, DMSO: dimethylsulfoxide). We investigated, in vitro, the interactions of these ligands with human transferrin through spectroscopic techniques, with the ultimate goal of preparing adducts with good selectivity for cancer cells. Results. All studied complexes interact with human serum transferrin; the molar ratio [complex]/[transferrin] strongly influences the binding affinity. Conclusions. The best interaction between the complexes studied and transferrin is achieved for a molar ratio of 8; the best interaction was registered for Ru-pip, followed by Ru-nf. Keywords: ruthenium (III) complexes, transferrin.Мета. Останніми роками трансфериновий цикл викликає по - силений інтерес як перспективна система цільової доставки протипухлинних препаратів безпосередньо в пухлину. Неопластичні клітини потребують багато заліза, через що експресують велику кількість трансферинових рецепторів. Внаслідок цього кон ’югати трансферину здатні насамперед взаємодіяти з раковими клітинами. Цю стратегію у наш час використовують для пошуку нових протиракових препаратів. Останні дані демонструють, що сполукам рутенію (III) притаманні протипухлинні і антиметастатичні ефекти завдяки їхній афінності до важливих біомолекул (таких як трансферин). Методи. У статті представлено трансферин-зв’язувальні властивості деяких нових комплексів рутенію (III) загальною формулою RuL2 (DMSO) mCl3 ×nH2O ((Ru-nf) L: норфлоксацин (nf), m = 1, n = = 1; (Ru-cpx) L: ципрофлоксацин (cpx), m = 2, n = 2; (Ru-of) L: офлоксацин (oflo), m = 1, n = 1; (Ru-levo) L: левофлоксацин (Levo), m = 2, n = 8; (Ru-pip) L: піпемідинова кислота (pip), m = = 1, n = 2, DMSO: диметилсульфоксид). Ми вивчали взаємодію in vitro цих лігандів з трансферином людини методом спектроскопії для одержання адуктів з високою селективністю до ракових клітин. Результати і висновки. Всі досліджувані комплекси взаємодіють з сироватковим трансферином людини, молярне співвідношення [комплекс]/[трансферин] значно впливає на зв’язувальні властивості. Найкращу взаємодію між аналізованими комплексами і трансферином відмічено при молярному співвідношенні 8:1, а також для Ru-pip і Ru-nf. Ключові слова: комплекси рутенію (III), трансферин.Цель. В последние годы трансферриновый цикл вызывает повышенный интерес как перспективная система целевой доставки противоопухолевых препаратов непосредственно в опухоль. Неопластические клетки испытывают высокую потребность в железе и, следовательно, экспрессируют много трансферриновых рецепторов. Вследствие этого конъюгаты трансферрина способны преимущественно взаимодействовать с раковыми клетками. Эту стратегию в настоящее время используют для поиска новых противораковых препаратов. Последние данные показывают, что соединения рутения (III) обладают противоопухолевым и антиметастатическим эффектами благодаря их аффинности к важным биомолекулам (таким как трансферрин). Методы. В статье представлены трансферрин-связывающие свойства некоторых новых комплексов рутения (III) с общей формулой RuL2 (DMSO) mCl3 ×nH2O ((Ru-nf) L: норфлоксацин (nf), m = 1, n = 1; (Ru-cpx) L: ципрофлоксацин (cpx), m = 2, n = 2; (Ru-of) L: офлоксацин (oflo), m = 1, n = 1; (Ru-levo) L: левофлоксацин (Levo), m = 2, n = 8; (Ru-pip) L: пипемидиновая кислота (pip), m = 1, n = 2, DMSO: диметилсульфоксид). Мы изучили взаимодействие in vitro этих лигандов с человеческим трансферрином методом спектроскопии для получения аддуктов, обладающих хорошей селективностью к раковым клеткам. Результаты и выводы. Все исследуемые комплексы взаимодействуют с человеческим сывороточным трансферрином, молярное соотношение [комплекс]/ [трансферрин] сильно влияет на связывающие свойства. Наилучшее взаимодействие между изучаемыми комплексами и трансферрином отмечено при молярном соотношении 8:1, а также для Ru-pip и Ru-nf. Ключевые слова: комплексы рутения (III), трансферрин

The mixed problem for the Laplacian in Lipschitz domains

We consider the mixed boundary value problem or Zaremba's problem for the Laplacian in a bounded Lipschitz domain in R^n. We specify Dirichlet data on part of the boundary and Neumann data on the remainder of the boundary. We assume that the boundary between the sets where we specify Dirichlet and Neumann data is a Lipschitz surface. We require that the Neumann data is in L^p and the Dirichlet data is in the Sobolev space of functions having one derivative in L^p for some p near 1. Under these conditions, there is a unique solution to the mixed problem with the non-tangential maximal function of the gradient of the solution in L^p of the boundary. We also obtain results with data from Hardy spaces when p=1.Comment: Version 5 includes a correction to one step of the main proof. Since the paper appeared long ago, this submission includes the complete paper, followed by a short section that gives the correction to one step in the proo

Discrete exterior calculus (DEC) for the surface Navier-Stokes equation

We consider a numerical approach for the incompressible surface Navier-Stokes equation. The approach is based on the covariant form and uses discrete exterior calculus (DEC) in space and a semi-implicit discretization in time. The discretization is described in detail and related to finite difference schemes on staggered grids in flat space for which we demonstrate second order convergence. We compare computational results with a vorticity-stream function approach for surfaces with genus 0 and demonstrate the interplay between topology, geometry and flow properties. Our discretization also allows to handle harmonic vector fields, which we demonstrate on a torus.Comment: 21 pages, 9 figure

The essential spectrum of the Neumann–Poincaré operator on a domain with corners

Exploiting the homogeneous structure of a wedge in the complex plane, we compute the spectrum of the anti-linear Ahlfors-Beurling transform acting on the associated Bergman space. Consequently, the similarity equivalence between the Ahlfors--Beurling transform and the Neumann-Poincare operator provides the spectrum of the latter integral operator on a wedge. A localization technique and conformal mapping lead to the first complete description of the essential spectrum of the Neumann-Poincare operator on a planar domain with corners, with respect to the energy norm of the associated harmonic field