Hybrid functions approach to solve a class of Fredholm and Volterra integro-differential equations

In this paper, we use a numerical method that involves hybrid and block-pulse functions to approximate solutions of systems of a class of Fredholm and Volterra integro-differential equations. The key point is to derive a new approximation for the derivatives of the solutions and then reduce the integro-differential equation to a system of algebraic equations that can be solved using classical methods. Some numerical examples are dedicated for showing efficiency and validity of the method that we introduce

Uniform Artin-Rees Bounds for Syzygies

Let $(R,m)$ be a local Noetherian ring, let $M$ be a finitely generated $R$-module and let $(F_{\bullet},\partial_{\bullet})$ be a free resolution of $M$. We find a uniform bound $h$ such that the Artin-Rees containment $I^n F_i\cap Im \, \partial_{i+1} \subseteq I^{n-h} Im \, \partial_{i+1}$ holds for all integers $i\ge d$, for all integers $n\ge h$, and for all ideals $I$ of $R$. In fact, we show that a considerably stronger statement holds. The uniform bound $h$ holds for all ideals and all resolutions of $d$th syzygy modules. In order to prove our statements, we introduce the concept of Koszul annihilating sequences.Comment: 14 page

Reversed-phase high-performance liquid chromatography–fluorescence detection for the analysis of glutathione and its precursor γ-glutamyl cysteine in wines and model wines supplemented with oenological inactive dry yeast preparations

El pdf del artículo es la versión pre-print.A reversed-phase high-performance liquid chromatography-fluorescence detection methodology involving a pre-column derivatization procedure using 2,3-naphtalenedialdehyde in the presence of 5 and 0. 5 mM of dithiothreitol to determine total and reduced glutathione (GSH) and γ-glutamyl-cysteine (γ-glu-cys) in musts and wines has been set up and validated. The proposed method showed good linearity (R 2 >99% for reduced and total GSH, and R 2 >98% for γ-glu-cys) in synthetic wines, over a wide range of concentration (0-10 mg L -1). The limits of detection for reduced GSH in synthetic and real wines were almost the same (0. 13 and 0. 15 mg L -1, respectively) and slightly higher for γ-glu-cys (0. 24 mg L -1). The application of the method allowed knowing, for the first time, the amount of total and reduced GSH and γ-glu-cys released into synthetic wines by oenological preparations of commercial inactive dry yeast (IDY). In addition, the evolution of these three compounds during the winemaking and shelf life (0-9 months) of an industrially manufactured rosé wine supplemented with a GSH-enriched IDY showed that although GSH is effectively released from IDY, it is rapidly oxidized during alcoholic fermentation, contributing to the higher total GSH content determined in wines supplemented with GSH-enriched IDYs compared to control wines. © 2011 Springer Science+Business Media, LLC.IAO and JJRB acknowledge CAM and CSIC for their respective research grants. This work has been founded by PET2007-0134 project.Peer Reviewe

Coefficient theorems of Birancon-Skoda type

Title from PDF of title page (University of Missouri--Columbia, viewed on May 21, 2012).The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file.Dissertation supervisor: Dr. Ian AberbachVita.Includes bibliographical references."July 2011."[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] The original Briancon-Skoda theorem, proved for the ring of convergent power series over the field $mathbb{C}$ of complex numbers, was later generalized to arbitrary regular local rings by Lipman and Sathaye, who showed that if (R, m) is a regular local ring and $I$ an ideal of $R$ generated by $ell$ elements, then for all $w geq 0$, $overline{I^{ell+w}} subseteq I^{w+1}.$ If (R,m) is regular local, $I subseteq R$ an ideal of analytic spread $ell$ and $J subseteq I$ any reduction, then Lipman and Sathaye's theorem implies that $overline{I^{ell+w}} subseteq J^{w+1}$, for all $w geq 0$. Set w=0 to conclude that $I^{ell} subseteq overline{I^{ell}} subseteq J$. Hence any element of $I^ell$ is a linear combination of the generators of $J$ with coefficients in $R$. In this thesis, we study the coefficients involved in the Briancon-Skoda theorem when $J$ is a minimal reduction, to show that, under some hypotheses, one can get some information on those coefficients. We also show that, in the case where the ring $R$ is Gorenstein, the power $ell$ of $I$ in $overline{I^ell} subseteq J$ can be reduced. Concretely, we give results on when the integral closure of $I^{ell-1}$ is contained in $J$.--From short.pdf

External dependencies in software development

International audienceSuccessful software requires constant modifications. To guarantee the continuous proper functioning of the applications, developers need to understand them well, particularly by having an accurate map of the dependencies between the parts they are modifying. However, some of these dependencies are not easily identified. For example, in an Android application, there are dependencies between the Java source code and XML parts, some of which are materialized by a generated "R" Java class. We call such dependencies external because they are introduced by some agent external to the source code. On top of the categorization of dependencies defined in the literature, we define restrictions on the External Dependencies that allow us to verify the source code and identify possible flaws. We created a common approach relying on reusable patterns to search for containers and entities that are part of such dependencies and implemented it in a prototype that we validate on two different projects from GitHub and developed using different frameworks

Analyse de l’identité féminine dans la littérature arabo-américaine

Cette thèse étudie des œuvres littéraires arabo-américaines contemporaines écrites par des femmes, plus spécifiquement les écrits d’Evelyn Shakir tels que Bint Arab, ainsi que plusieurs autres romans dont Arabian Jazz et Crescent de Diana Abu Jaber, The Inheritance of Exile de Susan Muaddi Darraj, The Night Counter d’Alia Yunis, et Once in a Promised Land de Laila Halaby. Elle montre comment ces œuvres construisent des univers où peuvent être interrogées les notions d’identité, de culture, d’ethnicité, et de genre. Les conflits quotidiens autour de l’identité sont traités en se fondant à la fois sur les œuvres critiques des femmes arabo-américaines et sur les études psycho-sociales du biculturalisme. De plus, ce travail met l’accent sur la formation de solidarités entre les femmes de couleur, en élargissant le concept de « conscience des zones frontalières » d’Anzaldua pour inclure les œuvres des écrivaines arabo-américaines. Les théories développées après la colonisation, particulièrement les études sur l’orientalisme à la suite d’Edward Said, sont également invoquées pour remettre en question le modèle oriental de la féminité. Enfin, cette thèse analyse la narration et son rôle dans la création d’un point d’ancrage pour les identités « exilées », insistant plus particulièrement sur la figure de Shéhérazade. Ce travail montre ainsi la façon dont les productions littéraires peuvent créer de nouveaux espaces pour comprendre les problèmes sociaux, politiques, culturels, ou ethniques.This dissertation analyses contemporary Arab-American literary productions by female writers, specifically, Shakir’s collection of memoirs Bint Arab and her two short stories “Oh Lebanon” and “Name Calling,” as well as a selection of novels, Abu Jaber’s Arabian Jazz and Crescent, Darraj’s The Inheritance of Exile, Alia Yunis’s The Night Counter, and Laila Halaby’s Once in a Promised Land. It shows how these works construct a space which enables them to investigate questions of identity, culture, ethnicity and gender. Identity conflicts around everyday matters like physical appearance, color, dress codes, veiling, chastity, and marriage are addressed by drawing upon critical works by Arab-American female writers and psycho-social studies on biculturalism. Moreover, this work emphasizes coalition-building with women of color by extending Anzaldua’s concept of the “consciousness of the borderlands” to encompass works by Arab-American female writers. Theories by post-colonial thinkers, particularly Said’s studies on Orientalism, also contribute to the dissertation’s questioning of the Oriental model of womanhood. Finally, this dissertation envisages critical works that study storytelling and its role in creating a surrogate home for “exilic” identities, with special emphasis on the Scheherazadian narrative. This project views literary productions as an appropriate way to investigate social, political, cultural and ethnic issues. It shows how writings by Arab-American women contribute to exploring inner identity conflicts, how they connect with other minority groups, and how they create a new sense of home

Hepatitis C virus reactivation in patients receiving cancer treatment: A prospective observational study

Peer Reviewedhttps://deepblue.lib.umich.edu/bitstream/2027.42/141371/1/hep29344_am.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/141371/2/hep29344.pdfhttps://deepblue.lib.umich.edu/bitstream/2027.42/141371/3/hep29344-sup-0001-suppinfo01.pd