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On Semi-Uniformity, Quasi-Uniformity, Local Uniformity and Uniformity
In this paper we shall study the notions of semi-uniformity, quasi-uniformity, local uniformity and uniformity and we can establish some relations among them. Here it can be shown that a uniform space has always a base of symmetric vicinities.
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Gaussian limits for discrepancies. I: Asymptotic results [PDF]
We consider the problem of finding, for a given quadratic measure of non-uniformity of a set of $N$ points (such as $L_2$ star-discrepancy or diaphony), the asymptotic distribution of this discrepancy for truly random points in the limit $N\to\infty$. We
André van Hameren +20 more
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Uniform Contractification [PDF]
AbstractLet (X, τ) be a metrizable space and {fn: n = 1,2,…} be a commuting family of continuous mappings on X with a common fixed point ξ ∈ X such that (I) for each k = l, 2, … and (II) Then for each c ∈ (0,1), there exists a metric d on X inducing the topology τ such that , for all x, y∈X and n = l, 2, ….
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Theory of photoferroelectric response in SmC* liquids
We are concerned with the modification of liquid crystalline and polar order in SmC* liquids by illumination. In particular we show that non-uniformity due to absorption and also dynamics, can be complex.
Gennes P. G. d. +2 more
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Efficiency droop in InGaN/GaN multiple quantum well light-emitting diodes with nonuniform current spreading [PDF]
We demonstrate that the efficiency droop phenomenon in multiple quantum well InGaN/GaN light-emitting diodes (LEDs) may be connected to the current crowding effect.
Kudryk, Y. Y., Zinovchuk, A. V.
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Uniformity, Universality, and Computability Theory
We prove a number of results motivated by global questions of uniformity in computability theory, and universality of countable Borel equivalence relations. Our main technical tool is a game for constructing functions on free products of countable groups.
Marks, Andrew S
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In this paper, the notion of uniformly strong differentiable functions is introduced and the Henstock and McShane integrals in terms of equi-integrability and uniform strong differentiability are investigated. The proofs rely on related tools in measure theory.
Benitez, Julius V. +2 more
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Enhanced temperature uniformity by tetrahedral laser heating [PDF]
emperature profile on a spherical sample that is heated by laser beams in various geometries while processed in vacuum is analyzed. Sample heating by one or four laser beams was considered.
Bossuyt, Sven +5 more
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m-Bounded Uniformities Between Two Given Uniformities [PDF]
Introduction. This paper is an attempt to gain some information about the lattice of the uniformities which can be defined on a set X. Our results are stated in terms of the m-boundedness of uniformities, where m is an infinite cardinal. We define a pseudo-metric p on X to be m-bounded if for e > 0, X can be written as a union of fewer than m sets ...
Reed, Ellen E., Thron, W. J.
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Cooperation on Competition: The Multistate Tax Commission and State Corporate Tax Uniformity [PDF]
This report explores how interstate uniformity of state corporate income taxes has varied over time, the role played by the MTC, and how likely it is that uniformity will be achieved.
David L. Sjoquist +2 more
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