4 resultados para problems in the real line

em SAPIENTIA - Universidade do Algarve - Portugal


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Some yeasts have the peculiar ability to grow in the presence of weak acids at rather low pH. These conditions are predominant in preserved foods and beverages such as fruit concentrates, juices, wine, where these yeasts are responsible for spoilage. The main preservatives currently utilized by food industries are sorbic, propionic, benzoic acids and SO2. It is usually assumed that weak acids diffuse through the plasma membrane in the undissociated form. In the cytoplasm, where the pH is higher, dissociation occurs resulting in accumulation of the lipid-insoluble anion and internal acidification. This is probably a very general mechanism of preventing microbial growth in foods.

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We study the Riemann boundary value problem , for analytic functions in the class of analytic functions represented by the Cauchy-type integrals with density in the spaces with variable exponent. We consider both the case when the coefficient is piecewise continuous and it may be of a more general nature, admitting its oscillation. The explicit formulas for solutions in the variable exponent setting are given. The related singular integral equations in the same setting are also investigated. As an application there is derived some extension of the Szegö-Helson theorem to the case of variable exponents.

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Isolationism and neutrality are two of the recurrent themes in the study of the history of the U.S. foreign policy in the interwar years. The trauma of the Great War, which had swept away 130.000 U.S. lives and had cost $30 billion, had led public opinion to strongly oppose any involvement with European affairs. Besides, the urgent need for economic recovery during the dismal years of the Great Depression did not leave Roosevelt much room for manoeuvre to influence international events. His positions regarding the intentions of the Fascist states remained, at best, ambivalent. These facts notwithstanding, about 2800 U.S. citizens crossed the Atlantic and rushed in to help democratic Spain, which was on the verge of becoming one more hostage in the hands of the Fascism. They joined the other British, Irish and Canadian volunteers and formed the XV International Brigade. 900 Americans never returned home. This alone should challenge the commonly held assumption that the American people were indifferent to the rise of the Fascist threat in Europe. But it also begs other questions. Considering the prevailing isolationist mood, what really motivated them? With what discursive elements did these men construct their anti Fascist representations? How far did their understanding of the Spanish democracy correspond to their own American democratic ideal? In what way did their war experience across the Atlantic mould their perception of U.S. politics (both domestic and foreign)? How far did the Spanish Civil War constitute one first step towards the realization that the U.S. might actually be drawn into another international conflict of unpredictable consequences? Last but not the least, what ideological, political and cultural complicity existed between the men from the English-speaking battalions? In order to unearth some of the answers, I intend to examine their letters and see how these men recorded the historical events in which they took part. Their correspondence emerged from the desire to prove their commitment to a common cause and spoke of a common war experience, but each letter, in its uniqueness, ends up mirroring not only the social and political background of each individual fighter, but also his own particular perspective of the war, of world politics and of the Spanish people. We shall see how these letters differ and converge and how these particular accounts weave, as in an epistolary novel, a larger-than-life narrative of outrage and solidarity, despair and hope.

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The migration of the hypophysiotropic GnRH (GnRH-I) neurons during early development is a crucial step in establishing a normally functioning reproductive system in all vertebrates. These neurons derive from progenitor cells in the olfactory placode and subsequently migrate to their final position in the ventral forebrain, where they mediate hypophysiotropic control over Lh. We use zebrafish as a model to investigate the path and the factors that mediate the migration of the GnRH-I neurons during early development. A transgenic line of zebrafish, in which GnRH- I neurons specifically express a reporter gene (GFP) has been developed in our lab. This was achieved by integrating a GnRH-I promoter/GFP reporter transgene into the zebrafish genome. The resulting transgenic line allows us to track the route of the GnRH-I neuronal migration in real time and in vivo. We have used this line to conduct time lapse imaging to ascertain the exact migrational path and the final position in the ventral forebrain of the GnRH-I neurons.