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In recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems. This collection is based on the topics discussed during the Research Semester on Harmonic Analysis and Convexity at the Institute for Computational and Experimental Research in Mathematics in Providence RI in Fall 2022. The volume brings together experts working in related fields to report on the status of major problems in the area including the isomorphic Busemann-Petty and slicing problems for arbitrary measures, extremal problems for Fourier extension and extremal problems for classical singular integrals of martingale type, among others.
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This is a true story, happened in France in the XVIII century. It talks about the hunt, lasted for a good four years, against a mysterious anthropophagous beast, which plunged into terror the poor people of the Gevaudan and of the Auvergne, today Lozere. This is the story of the men in charge of killing what was simply nicknamed the Beast, of the strategies which were carried out, of the beatings that were made even with dozens of thousands of men and many packs of dogs, of the long posts in the wild mountains of that area with such a terrible climate, so described: "Nine months of winter, three months of hell." In spite of the soldiers and the famous hunters sent by the King of France, the monstrous beast continued committing slaughters most of all of women and children, attacking hundreds of times and making at least 131 victims, many of which were devoured. Only after years of terror the Beast was finally killed and they were able to ascertain which species it belonged to.
This book introduces a novel approach to comprehending and assessing oxidative stress and antioxidant activity as fundamental components in both health and disease. It explores the advantages and peculiarities of innovative electrochemical methods for estimating and monitoring these processes. Recognizing the electrochemical nature of oxidative stress, the book advocates for electrochemical methods as the preferred means of determination. A central focus of the book is the presentation of a new electrochemical method for evaluating oxidative stress and antioxidant activity: potentiometric determination. The book presents results of antioxidant activity analyses for both healthy individuals a...