A Note on the Problem of Three Bodies
J.K. Whittemore (1907)
Mathematische Annalen
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J.K. Whittemore (1907)
Mathematische Annalen
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Renze, John, Wagon, Stan, Wick, Brian (2001)
Experimental Mathematics
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Rovskiĭ, V.A. (2004)
Zapiski Nauchnykh Seminarov POMI
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R.B. BARRAR (1965)
Mathematische Annalen
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Manfred G. Madritsch (2008)
Acta Arithmetica
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Elliot H. Lieb (1990)
Inventiones mathematicae
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Nathan Keller, Elchanan Mossel, Arnab Sen (2014)
Annales de l'I.H.P. Probabilités et statistiques
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In a recent paper, we presented a new definition of influences in product spaces of continuous distributions, and showed that analogues of the most fundamental results on discrete influences, such as the KKL theorem, hold for the new definition in Gaussian space. In this paper we prove Gaussian analogues of two of the central applications of influences: Talagrand’s lower bound on the correlation of increasing subsets of the discrete cube, and the Benjamini–Kalai–Schramm (BKS) noise sensitivity...
F. Barthe, D. Cordero-Erausquin, M. Fradelizi (2001)
Studia Mathematica
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We derive the equivalence of different forms of Gaussian type shift inequalities. This completes previous results by Bobkov. Our argument strongly relies on the Gaussian model for which we give a geometric approach in terms of norms of barycentres. Similar inequalities hold in the discrete setting; they improve the known results on the so-called isodiametral problem for the discrete cube. The study of norms of barycentres for subsets of convex bodies completes the exposition. ...
V. KLEE, C. BESSAGA (1966)
Mathematische Annalen
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Werner Linde (1988)
Mathematische Zeitschrift
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Yuichi Futa, Hiroyuki Okazaki, Daichi Mizushima, Yasunari Shidama (2013)
Formalized Mathematics
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Gaussian integer is one of basic algebraic integers. In this article we formalize some definitions about Gaussian integers [27]. We also formalize ring (called Gaussian integer ring), Z-module and Z-algebra generated by Gaussian integer mentioned above. Moreover, we formalize some definitions about Gaussian rational numbers and Gaussian rational number field. Then we prove that the Gaussian rational number field and a quotient field of the Gaussian integer ring are isomorphic. ...
Ball (1875)
Mathematische Annalen
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K. Ball (1993)
Discrete & computational geometry
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Waclaw Timoszyk (1974)
Colloquium Mathematicae
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Rolf Schneider (1979)
Mathematische Annalen
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