133,691 research outputs found

    Réponse de Monsieur Jean Kahn

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    Kahn Jean. Réponse de Monsieur Jean Kahn. In: Bulletin de l'Académie Vétérinaire de France tome 153 n°4, 2000. pp. 337-340

    Kahn Bros. Wholesale Grocery and N. S. Ransohoff Wholesale Liquors

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    Sepia photograph of Kahn Bros. Wholesale Grocery and N. S. Ransohoff Wholesale Liquors

    Zadoc Kahn

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    Zadoc Kahn. In: Revue des études juives, tome 51, n°101, janvier-mars 1906. pp. 1-2

    40th anniversary of the American Joint Distribution Committee Ceremonies

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    Seated left to right: Adolf Held, Bernard Semel, James N. Rosenberg, Senator Herbert H. Lehman, Paul Baerwald. Standing left to right: Rabbi David de Sola Pool, Alexander Kahn, Bernhard Kahn, Alex. A. Landesco, Baruch Zuckermann, I. Edwin Goldwasser, Rabbi Jonah B. WiseDigital Imag

    Herman Kahn. The Coming Bom

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    Berg Eugène. Herman Kahn. The Coming Bom. In: Politique étrangère, n°1 - 1983 - 48ᵉannée. pp. 207-209

    On the Second Kahn--Kalai Conjecture

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    For any given graph HH, we are interested in pcrit(H)p_\mathrm{crit}(H), the minimal pp such that the Erd\H{o}s-R\'enyi graph G(n,p)G(n,p) contains a copy of HH with probability at least 1/21/2. Kahn and Kalai (2007) conjectured that pcrit(H)p_\mathrm{crit}(H) is given up to a logarithmic factor by a simpler "subgraph expectation threshold" pE(H)p_\mathrm{E}(H), which is the minimal pp such that for every subgraph HHH'\subseteq H, the Erd\H{o}s-R\'enyi graph G(n,p)G(n,p) contains \emph{in expectation} at least 1/21/2 copies of HH'. It is trivial that pE(H)pcrit(H)p_\mathrm{E}(H) \le p_\mathrm{crit}(H), and the so-called "second Kahn-Kalai conjecture" states that pcrit(H)pE(H)loge(H)p_\mathrm{crit}(H) \lesssim p_\mathrm{E}(H) \log e(H) where e(H)e(H) is the number of edges in HH. In this article, we present a natural modification pE,new(H)p_\mathrm{E, new}(H) of the Kahn--Kalai subgraph expectation threshold, which we show is sandwiched between pE(H)p_\mathrm{E}(H) and pcrit(H)p_\mathrm{crit}(H). The new definition pE,new(H)p_\mathrm{E, new}(H) is based on the simple observation that if G(n,p)G(n,p) contains a copy of HH and HH contains \emph{many} copies of HH', then G(n,p)G(n,p) must also contain \emph{many} copies of HH'. We then show that pcrit(H)pE,new(H)loge(H)p_\mathrm{crit}(H) \lesssim p_\mathrm{E, new}(H) \log e(H), thus proving a modification of the second Kahn--Kalai conjecture. The bound follows by a direct application of the set-theoretic "spread" property, which led to recent breakthroughs in the sunflower conjecture by Alweiss, Lovett, Wu and Zhang and the first fractional Kahn--Kalai conjecture by Frankston, Kahn, Narayanan and Park.Comment: 4 page

    O. Kahn-Freund, Selected Writings

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    O. Kahn-Freund, Selected Writings. In: Revue internationale de droit comparé. Vol. 30 N°4, Octobre-décembre 1978. pp. 1094-1095

    «PUTTING ARCHITECTURE ON A BUSINESS BASIS»: ALBERT KAHN AND THE SCIENTIFIC MANAGEMENT OF DESIGN WORK

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    In 1909, after having projected the first reinforced concrete factory in Detroit (Packard Building n. 10), Albert Kahn (1869-1942) is introduced to Henry Ford (1863-1947). From the joint work of those two self-made-men, an industrial capitalist and a promising architect, derives a revolutionary way of considering mass production and industrial architecture. The text examines the most innovative aspects of Albert Kahn work, that are the organization of designing following the hints given by Henry Ford in his factory organization. Federico Bucci, author of the book Albert Kahn: Architect of Ford (Princeton Architectural Press, New York 1994), inquires into the methods of work organization applied in the Albert Kahn Inc., that acquired enormous importance during the II World War climate

    O. Kahn-Freund, Selected Writings

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    O. Kahn-Freund, Selected Writings. In: Revue internationale de droit comparé. Vol. 30 N°4, Octobre-décembre 1978. pp. 1094-1095
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