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A NOTE ON SUMS OF POWERS WHICH HAVE A FIXED NUMBER OF PRIME FACTORS.. RAFAEL JAKIMCZUK D EPARTMENT OF

Theorems 1.7–1.9 are close in spirit to the extension for Glauber dynamics of Ising spins when an alternating external field is included, as carried out in Nardi and Olivieri [22],

A lemma of considerable generality is proved from which one can obtain inequali- ties of Popoviciu’s type involving norms in a Banach space and Gram determinants.. Key words

(ii) The cases discussed in Theorem 1.1 were chosen as representative of the basic method, but there are pairs of positive integers not covered by the conditions of Theorem 1.1

de la CAL, Using stochastic processes for studying Bernstein-type operators, Proceedings of the Second International Conference in Functional Analysis and Approximation The-

[3] JI-CHANG KUANG, Applied Inequalities, 2nd edition, Hunan Education Press, Changsha, China, 1993J. FINK, Classical and New Inequalities in Analysis, Kluwer Academic

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Daoxuan 道 璿 was the eighth-century monk (who should not be confused with the Daoxuan 道宣 (596–667), founder of the vinaya school of Nanshan) who is mentioned earlier in