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The sum of the total curvatures of two orientable orthogonal foliations on the unit sphereS
2⊂R
3 is at least 4Π. The total curvature of a foliation with saddle singularities on a closed hyperbolic surfaceM is at least (12 Log 2–6 Log 3) ... |χ(M)|.
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H. Mache 《Monatshefte für Mathematik》1931,38(1):A58-A59
Ohne Zusammenfassung
Température des Flammes, Rayonnement des Gaz incandescents et des Flammes G. Ribaud, Conférences d'actualités scientifiques et industrielles X, 43 Seiten. Hermann & Cie., Paris 1930. Preis geh. Frs. 5相似文献
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《Comptes Rendus de l'Academie des Sciences Series IIA Earth and Planetary Science》1999,328(10):901-906
We study the dynamics of automorphisms of complex projective surfaces. Letbe such an automorphism whose topological entropy is not zero. We construct a probability measure associated toand the complex structure. This measure is -invariant, ergodic and has maximal entropy. This is the unique measure satisfying these properties and periodic points are equidistributed with respect to this measure. 相似文献
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Abdellah Youssfi 《manuscripta mathematica》1989,65(3):289-310
Our purpose is to give necessary and sufficient conditions for continuity, on Besov spaces \(\dot B_p^{s,q} \) , of singular integral operators whose kernels satisfy: $$|\partial _x^\alpha K(x, y)| \leqslant C_\alpha |x - y|^{ - n - |\alpha |} for|\alpha | \leqslant m,$$ where m ∈ ? and 0 < s < m. The criterion is compared to the M.Meyer theorem [11] where 0 p s,q spaces for s?1. For 0 p s,p space is characterized by the localization and by Besov-capacity. In particular we show that the BMO 1 s,1 space is characterized by generalized Carleson conditions. 相似文献
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In this article we answer a question proposed by Gelfond in 1968. We prove that the sum of digits of squares written in a
basis q ⩾ 2 is equidistributed in arithmetic progressions. 相似文献
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Jacques Doyen 《Semigroup Forum》1991,42(1):333-343
In this paper we give some results about minimal generating systems of a monoïd M. The main tool is a relation denoted “S” which is finer than the relation “J”. 相似文献
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Danielle Gondard-Cozette 《manuscripta mathematica》1990,69(1):267-274
Using Becker's results we obtain here a simple first order axiomatization, looking like those by Artin-Schreier and also written
in the language of fields, for the theory of Rolle fields (i.e. fields with the Rolle's property for every order). In fields
having a finite number of orders, we characterize Rolle fields as those which are pythagorean at level 4 and do not admit
any algebraic extension of odd degree.
Then we give an axiomatization for Rolle fields having exactly 2n orders (n≥0); in fact, for n=0 we recover an axiomatization of the theory of real-closed fields and for n=1 we get exactly
an axiomatization given for the theory of chain-closed fields by the author in [G1].
Finally we prove that a Rolle field with exactly 2n orders is the intersection of n+1 real closures of the field.
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Emmanuel Mazzilli 《Mathematische Zeitschrift》1998,227(4):607-622
Sans résumé
Received 17 April 1996; in final form 9 July 1996 相似文献
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B. N. Parlett 《Numerische Mathematik》1973,21(3):223-233
Summary We present a survey of recent work on the convergence of methods for computing eigenvalues and eigenvectors of matrices. We try to maintain a geometric point of view and give pride of place to the R algorithm.
Cet article a été ecrit pendant le sejour de l'auteur en laboratoire d'Analyse Numérique de l'Université de Paris 6 相似文献
Cet article a été ecrit pendant le sejour de l'auteur en laboratoire d'Analyse Numérique de l'Université de Paris 6 相似文献
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Since numerical calculations on a digital computer are performed on operands with a limited number of significant digits it follows that each operator in the computational arithmetic is merely an approximation of the corresponding mathematical operator.Therefore every numerical operation carried out on a computer generates a numerical error.The statistical evaluation of these errors is discussed in the first part of the paper. In the second part, the formulae obtained above are used to assess the validity of numerical results obtained in resolution of linear systems, algebraic equations and in matrix inversion. 相似文献