Directory UMM :Journals:Journal_of_mathematics:OTHER:
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We prove upper and lower bounds on the lifetime of excited states for a relativistic hydrogen (-like) atom coupled to the quantized radiation field and show that it is described
In this section we show by example that a Lindel¨of absolute CR -epic space need not satisfy the CNP, that a perfect quotient of a Lindel¨of absolute CR -epic space need not be
As a consequence (see Corollary 6.2), we find that in the case of categories of distributive Ω 2 -groups, such as the categories of groups, rings, Lie algebras, and all the
We show that formulae of Gessel for the generating functions for Young standard tableaux of height bounded by k (see [ 2 ]) satisfy linear differential equations, with
In our third proof, we use Lagrange inversion to prove Lemma 4 (from which, as we have seen, Theorem 2 follows easily) by giving an explicit formula for Z ( u, y ) r that makes
Next, we develop a technique for constructing square-free morphisms with extremely small density for one letter that gives upper bounds on the minimal density.. As an application of
In this note, we show that improved bounds for the factorial polynomial can be found using the Kober inequality [5] together with the Lagrange iden- tity [1]. The Lagrange identity
It is not surprising that the quantity or the content of two major classes of storage proteins, gliadin and glutenin, is significantly related to total protein, modified essentially
