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Lecture outline  : russell type theory  ; church's λ-calculus notation for functions   ; simple type theory and the HOL system   ; introduction to dependent types, AUTOMATH system   ; uniform treatment of mathematical objects and proofs   ; proof checking …

Abstract The publication of letters from the time of Zimri-Lim began with the corpus of governors' letters : Kibri-Dagan in Terqa and Bahdi-Lim in Mari, then Yaqqim-Addu in Saggaratum. Since then, the dossier has become both richer and more complex : …

Abstract This study of the emergence of a reading culture in ancient Greece starts from the beginnings of the written text and analyzes its evolution in the Greek world of the 5 th century BC and during the Hellenistic and Imperial periods. The first …

Abstract Type 2 diabetes   and obesity are global epidemics, associated with high rates of morbidity and mortality. These diseases significantly reduce patients' life expectancy and represent a major economic burden for public health systems. Often …

Abstract The Human Genome Project ushered in the era of modern human genetics, providing key insights into the structure and content of the genome. However, when it comes to the extent of genetic diversity between individuals or populations, sequencing …

Abstract Content of enhancers and links to transcription factors  ; orthography, syntax and grammar. Genomic topology of enhancers. In this fourth   lesson, the ways in which enhancers can bind transcription factors are described, along with the notion of …

Abstract Generative models based on dynamic transport have recently led to significant advances in unsupervised learning. Mathematically, these models are primarily built around the construction of a function between two probability distributions that …

Abstract Photochemical transformations are powerful tools for organic synthesis. In the contemporary context, marked by the importance of green chemistry principles and sustainable development, the use of light to carry out selective reactions offers …

Abstract Orthogonal wavelet bases are not optimal because they cannot capture all forms of regularity in a signal. In images, large wavelet coefficients appear along contours, but these coefficients do not capture the geometric regularity of the contour. …

Abstract Type theory was introduced by Bertrand Russell to avoid the paradoxes that arise in mathematics when the notion of a collection of objects is used too naively. This notion of types was refined by the notion of dependent types, with the aim of …

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Abstract It is now well established that rhetoric occupied an important place in the educational system of Greco-Roman antiquity. In recent years, scholarly interest in this discipline has intensified, paving the way for significant advances, particularly …

Abstract Continuation of previous lecture. Crossing the Jordan means entering the land. Before the conquest took place, Joshua circumcised the desert generation and celebrated the first Passover in the land (Jos 5). This raises the question of how these …

Abstract In Hesiod's Theogony , the expression "hiera erdein", "to make sacred portions", appears only once, in the introduction to the long passage that moderns have taken to calling the "hymn to Hecate". The forty or so verses (411-452) devoted to this …

Abstract At a time when the framers of the United Nations Charter were somewhat wary of regional bodies and the threats they could pose to the advent of a new, fully universal international law, the statute of the United Nations International Law …

Abstract This final lecture will discuss the proof of a recent result in joint work with Zakharov, bounding the size of subsets of F_p^n not containing p distinct vectors summing to zero. As discussed in the previous lecture, this leads to bounds for the …

Sandrine Lyonnard : "From atom to cell: looking inside batteries with the Grands Instruments" Hervé Beuffe : "Valley of hope for the French Na_ion …