Displaying similar documents to “Asymptotic behaviour of the time dependent Norton-Hoff law in plasticity theory and regularity”

Guidance properties of a cylindrical defocusing waveguide

Oldřich John, Charles A. Stuart (1994)

Commentationes Mathematicae Universitatis Carolinae

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We discuss the propagation of electromagnetic waves of a special form through an inhomogeneous isotropic medium which has a cylindrical symmetry and a nonlinear dielectric response. For the case where this response is of self-focusing type the problem is treated in [1]. Here we continue this study by dealing with a defocusing dielectric response. This tends to inhibit the guidance properties of the medium and so guidance can only be expected provided that the cylindrical stratification...

Baireness of for ordered

Michael Granado, Gary Gruenhage (2006)

Commentationes Mathematicae Universitatis Carolinae

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We show that if is a subspace of a linearly ordered space, then is a Baire space if and only if is Choquet iff has the Moving Off Property.

On the vanishing of Iwasawa invariants of absolutely abelian p-extensions

Gen Yamamoto (2000)

Acta Arithmetica

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1. Introduction. Let p be a prime number and the ring of p-adic integers. Let k be a finite extension of the rational number field ℚ, a -extension of k, the nth layer of , and the p-Sylow subgroup of the ideal class group of . Iwasawa proved the following well-known theorem about the order of : Theorem A (Iwasawa). Let be a -extension and the p-Sylow subgroup of the ideal class group of , where is the th layer of . Then there exist integers , , , and n₀ ≥ 0...

A note on evaluations of some exponential sums

Marko J. Moisio (2000)

Acta Arithmetica

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1. Introduction. The recent article [1] gives explicit evaluations for exponential sums of the form where χ is a non-trivial additive character of the finite field , odd, and . In my dissertation [5], in particular in [4], I considered more generally the sums S(a,N) for all factors N of . The aim of the present note is to evaluate S(a,N) in a short way, following [4]. We note that our result is also valid for even q, and the technique used in our proof can also be used to evaluate...

Kneser’s theorem for upper Banach density

Prerna Bihani, Renling Jin (2006)

Journal de Théorie des Nombres de Bordeaux

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Suppose is a set of non-negative integers with upper Banach density (see definition below) and the upper Banach density of is less than . We characterize the structure of by showing the following: There is a positive integer and a set , which is the union of arithmetic sequences [We call a set of the form an arithmetic sequence of difference and call a set of the form an arithmetic progression of difference . So an arithmetic progression is finite and an arithmetic...