14,255 research outputs found
Le Prin-Temps D'Yver : Contenant cinq histoires, discouruës par cinq iournées, en vne noble compagnie, au chasteau du Prin-temps / Par Iaques Yuer, seigneur de Plaisance ...
No full textVorlageform der Veröffentlichungsangabe: A Paris, Chez Iean Borel, au Palais, pres la Chancellerie. 1576
Catalogue Ch. Borel-Clerc éditeur - Les œuvres du catalogue des œuvres de Charles Borel-Clerc
No full textCatalogue Ch. Borel-Clerc éditeur - Les œuvres du catalogue des œuvres de Charles Borel-Clerc - Verso Elle est gentille. Chanson - Répertoire Mayol [cotage C.B.9 - non daté - image recto medihal-00584767] ; contient des titres attribués à Joanyd, Mayol, Darcet, Dona [Gaston Dona], Bérard, De Lilo, Carmen Vildez, Esther Lekain, Lanthenay [Adeline Lanthenay (1870-1952)], Lucy Nanon, Myriame, Helda [Camille Helda], I.Huart [Isabelle Huard] ; datation exemplaire : 1909 par analyse des titres
Catalogue complet des œuvres de Charles Borel Clerc (97 titres)
No full textCatalogue complet des œuvres de Charles Borel Clerc (compositeur-éditeur) ; 97 titres ; verso La Baltique (©1913) ; artistes cités : Dona … ; répertoires Bérard, Mayol, Marcelly ; chansons-danses à succès ; chansons de guerre : Bérard, Dalbret, Nine Pinson [Nine Pinson (1881-1949)] ; Ch. Borel-Clerc editeur ; datation : catalogue présent sur les "chansons de guerre" de Borel-Clerc, à partir de 1915
Catalogue Borel-Clerc Éditeur
No full textCatalogue Borel-Clerc Éditeur. Verso Qui a gagné la guerre ?. Le catalogue propose plusieurs "répertoires" : Mayol, Marcelly, Nine Pinson [Nine Pinson (1881-1949)], Bérard, et 13 chansons dans une rubrique "Les chansons de guerre" ; aussi des titres attribués à Gaston Dona, Paul Dalbret, Emma Liébel… ; datation approximative 1917 (à confirmer)
Representing Probability Measures using Probabilistic Processes
No full textIn the Type-2 Theory of Effectivity, one considers representations of topological spaces in which infinite words are used as "names" for the elements they represent. Given such a representation, we show that probabilistic processes on infinite words, under which each successive symbol is determined by a finite probabilistic choice, generate Borel probability measures on the represented space. Conversely, for several well-behaved types of space, every Borel probability measure is represented by a corresponding probabilistic process. Accordingly, we consider probabilistic processes as providing "probabilistic names" for Borel probability measures. We show that integration is computable with respect to the induced representation of measures
On the Borel-Cantelli Lemma and moments
No full textsummary:We present some extensions of the Borel-Cantelli Lemma in terms of moments. Our result can be viewed as a new improvement to the Borel-Cantelli Lemma. Our proofs are based on the expansion of moments of some partial sums by using Stirling numbers. We also give a comment concerning the results of Petrov V.V., {\it A generalization of the Borel-Cantelli Lemma\/}, Statist. Probab. Lett. {\bf 67} (2004), no. 3, 233--239
Catalogue Ch. Borel Clerc éditeur (verso La Danse du Zambèze)
No full textCatalogue Ch. Borel-Clerc, éditeur, 18 passage de l'Industrie, Paris (verso La danse du Zambèze - recto cf. medihal-00519398) ; parmi les artistes cités : Mayol, Dona ; datation par titre
Borel multivalued mappings
No full textВ статье рассматриваются многозначные отображения метрического пространства Y в компактное метрическое пространство X. Показывается, что полунепрерывные многозначные отображения являются борелевскими отображениями первого класса. Изучается вопрос о сохранении борелевости при выполнении над многозначными отображениями операций пересечения, объединения, взятия верхнего и нижнего топологического предела. Показывается, что операции пересечения конечного или счетного числа отображений, а также операция объединения счетного числа отображений увеличивают борелевский класс на единицу; операция объединения конечного числа отображений не изменяет борелевского класса; операция взятия верхнего топологического предела последовательности многозначных отображений увеличивает борелевский класс на два; операция взятия нижнего топологического предела увеличивает борелевский класс на три. Эти результаты применяются далее к отображениям, задаваемым радиальными предельными множествами.The article studies multivalued mappings of metric space Y into compact metric space X. It is demonstrated that semi continuous multivalued mappings are Borel mappings of the first class. The author investigates whether Borel measurability remains after the operations of intersection, union, taking upper and lower topological limit performed on multi-valued mappings. It is demonstrated that the operations of intersection of finite or countable number of mappings, and also operation of union of countable number of mappings increase a Borel class by one; the operation of union of finite number of mappings does not change a Borel class; the operation of tacking upper topological limit of sequence of multi-valued mappings increases a Borel class by two; the operation of tacking lower topological limit increases a Borel class by three. These results are applied further to the mappings determined by radial limit sets
Additive Families of Low Borel Classes and Borel Measurable Selectors
No full textAbstractAn important conjecture in the theory of Borel sets in non-separable metric spaces is whether any point-countable Borel-additive family in a complete metric space has a σ-discrete refinement. We confirm the conjecture for point-countable -additive families, thus generalizing results of R. W. Hansell and the first author. We apply this result to the existence of Borel measurable selectors for multivalued mappings of low Borel complexity, thus answering in the affirmative a particular version of a question of J. Kaniewski and R. Pol.</jats:p
Émile Borel Versus John Maynard Keynes:The Two Opposing Views on Probability
No full textTechnical ReportThis paper aims to compare French mathematician Émile Borel and British economist John Maynard Keynes with special reference to probability theory. Borel and Keynes were the contemporaries who crossing over the English channel, greatly influenced each other in the twentieth century. In his influential book, Borel (1938) harshly criticized Keynes' position on probability theory. In plain English, Borel regarded probability as a measurable object, thus constituting one important branch of mathematics. In contrast, Keynes thought of probability as a non-measurable item, thereby belonging rather to one branch of logic. Their controversies were rather well-known in the academic world, producing so many papers even after their deaths until today. In hindsight, it seems that differences in their views are very deep-rooted and originated in the critical gulf between the abstract-minded French spirit and the empirical-oriented British tradition. In this paper, I wish to offer a set of fresh angles, thus shedding new light on the French-British probability controversy. The first angle is provided by the rediscovery of Keynes's romantic poem on probability, which can be found at the very end of Keynes's 1921 book but has long been neglected until today. The second angle is given by the reinvestigation of Keynes's original yet almost forgotten concept of "interval-valued probability," and the third angle by the new interpretation of Keynes' strange diagram on non-comparable probabilities. The fourth angle arises from the question of how and to what extent probability is related to non-measurability and ambiguity. There remain so many unsolved problems, waiting for future investigation.Discussion Paper, Series E, No. E-1, pp. 1-20technical repor
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