scholarly journals Classical Characterization of quantum waves:Comparison between the caustic and the zeros of theMadelung-Bohm potential

2021 ◽  
Author(s):  
Ernesto Ramos ◽  
Gilberto Silva-Ortigoza ◽  
Citlalli Sosa Sánchez ◽  
Israel Julián Macías ◽  
Adriana Juárez ◽  
...  
Keyword(s):  
Bohm Potential ◽  
Classical Characterization

scholarly journals PRÜFER ⋆-MULTIPLICATION DOMAINS AND SEMISTAR OPERATIONS

2003 ◽  
Vol 02 (01) ◽  
pp. 21-50 ◽  
Author(s):  
M. FONTANA ◽  
P. JARA ◽  
E. SANTOS
Keyword(s):  
Characterization Theorem ◽  
Field Extensions ◽  
Star Operation ◽  
Classical Characterization ◽  
Integrally Closed ◽  
Prufer Domains ◽  
Semistar Operation ◽  
Prüfer Domains ◽  
The Given

Starting from the notion of semistar operation, introduced in 1994 by Okabe and Matsuda [49], which generalizes the classical concept of star operation (cf. Gilmer's book [27]) and, hence, the related classical theory of ideal systems based on the works by W. Krull, E. Noether, H. Prüfer, P. Lorenzen and P. Jaffard (cf. Halter–Koch's book [32]), in this paper we outline a general approach to the theory of Prüfer ⋆-multiplication domains (or P⋆MDs), where ⋆ is a semistar operation. This approach leads to relax the classical restriction on the base domain, which is not necessarily integrally closed in the semistar case, and to determine a semistar invariant character for this important class of multiplicative domains (cf. also J. M. García, P. Jara and E. Santos [25]). We give a characterization theorem of these domains in terms of Kronecker function rings and Nagata rings associated naturally to the given semistar operation, generalizing previous results by J. Arnold and J. Brewer ]10] and B. G. Kang [39]. We prove a characterization of a P⋆MD, when ⋆ is a semistar operation, in terms of polynomials (by using the classical characterization of Prüfer domains, in terms of polynomials given by R. Gilmer and J. Hoffman [28], as a model), extending a result proved in the star case by E. Houston, S. J. Malik and J. Mott [36]. We also deal with the preservation of the P⋆MD property by ascent and descent in case of field extensions. In this context, we generalize to the P⋆MD case some classical results concerning Prüfer domains and PvMDs. In particular, we reobtain as a particular case a result due to H. Prüfer [51] and W. Krull [41] (cf. also F. Lucius [43] and F. Halter-Koch [34]). Finally, we develop several examples and applications when ⋆ is a (semi)star given explicitly (e.g. we consider the case of the standardv-, t-, b-, w-operations or the case of semistar operations associated to appropriate families of overrings).

Classical characterization of biphoton correlation in waveguide lattices

2011 ◽  
Vol 83 (1) ◽  
Author(s):  
Robert Keil ◽  
Felix Dreisow ◽  
Matthias Heinrich ◽  
Andreas Tünnermann ◽  
Stefan Nolte ◽  
...  
Keyword(s):  
Classical Characterization

scholarly journals Quantum and Classical Characterization of Single/Few Photon Detectors

2015 ◽  
Vol 4 (3) ◽  
pp. 200-212 ◽  
Author(s):  
M. G. Mingolla ◽  
F. Piacentini ◽  
A. Avella ◽  
M. Gramegna ◽  
L. Lolli ◽  
...  
Keyword(s):  
Photon Detectors ◽  
Classical Characterization

scholarly journals Characterization of ellipsoids as K-dense sets

2016 ◽  
Vol 146 (1) ◽  
pp. 213-223
Author(s):  
Rolando Magnanini ◽  
Michele Marini
Keyword(s):  
Convex Body ◽  
Asymptotic Formula ◽  
Lebesgue Measure ◽  
Positive Lebesgue Measure ◽  
Measurable Set ◽  
Classical Characterization ◽  
Dense Sets

Let K ⊂ ℝN be any convex body containing the origin. A measurable set G ⊂ ℝN with finite and positive Lebesgue measure is said to be K-dense if, for any fixed r > 0, the measure of G ⋂ (x + rK) is constant when x varies on the boundary of G (here, x + rK denotes a translation of a dilation of K). In a previous work, we proved for the case N = 2 that if G is K-dense, then both G and K must be homothetic to the same ellipse. Here, we completely characterize K-dense sets in ℝN: if G is K-dense, then both G and K must be homothetic to the same ellipsoid. Our proof, which builds upon results obtained in our previous work, relies on an asymptotic formula for the measure of G ⋂ (x + rK) for large values of the parameter r and a classical characterization of ellipsoids due to Petty.

A cohomological characterization of amenable actions

1991 ◽  
Vol 110 (3) ◽  
pp. 491-504
Author(s):  
C. Anantharaman-Delaroche
Keyword(s):  
Dynamical Systems ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact ◽  
Classical Characterization

AbstractWe give a new characterization of amenability for dynamical systems, in cohomological terms, which generalizes the classical characterization of amenable locally compact groups stated by Johnson.

scholarly journals Characterization of Modular Join-Semilattices

1970 ◽  
Vol 29 ◽  
pp. 43-49
Author(s):  
MR Talukder ◽  
MHB Arif
Keyword(s):  
Key Words ◽  
Classical Characterization ◽  
Join Semilattices ◽  
Distributive Semilattices

In this paper we have proved a classical characterization of modular join-semilattices. We have also given some characterizations of modular ideals of join-semilattices through congruences. Key words: Join-semilattices; modular semilattices; distributive semilattices; quotient semilattices GANIT J. Bangladesh Math. Soc. (ISSN 1606-3694) 29 (2009) 43-49  DOI: http://dx.doi.org/10.3329/ganit.v29i0.8514

The Modal Laws of Economics

1998 ◽  
Vol 63 (2) ◽  
pp. 182-205
Author(s):  
Adolfo García de la Sienra
Keyword(s):  
Economic Theory ◽  
Neoclassical Economic ◽  
Static Case ◽  
Human Needs ◽  
Classical Characterization ◽  
Neoclassical Economic Theory ◽  
Fundamental Law ◽  
Definition Of ◽  
Alternative Choice

Herman Dooyeweerd’s classical characterization of the meaning-kernel of the economic modality runs as follows: the sparing or frugal mode of administering scarce goods, implying an alternative choice of their destination with regard to the satisfaction of different human needs. My first aim in this paper is to show that Dooyeweerd’s characterization of the meaning-kernel of the economic modality naturally leads to neoclassical economic theory. In order to do this, I will provide an argument that, departing from Dooyeweerd’s definition of the meaning-kernel of the economic modality, concludes in a logical reconstruction of (the static case of) neoclassical economic theory (from now on denoted as NET). The fundamental law of this theory will turn out to be thus, naturally, a formulation of the fundamental modal law of economics. The second aim of the paper is epistemological since it discusses the methodological problem of the empirical claim of the theory. It is my hope that this discussion will clarify the limits of NET and provide a reply to the objections raised against it by Reformed scholars like Goudzwaard (1980).

Purity and approximation with respect to a class of morphisms

2020 ◽  
pp. 2150170
Author(s):  
Lixin Mao
Keyword(s):  
General Setting ◽  
Projective Cover ◽  
Classical Characterization

We investigate purity and approximation with respect to a class of morphisms of modules. Let [Formula: see text] be a class of left [Formula: see text]-module morphisms. An epimorphism [Formula: see text] of left [Formula: see text]-modules is called [Formula: see text]-pure if for any morphism [Formula: see text] in [Formula: see text], there is a morphism [Formula: see text] such that [Formula: see text]. An [Formula: see text]-pure epimorphism [Formula: see text] is called [Formula: see text]-superfluous if every morphism [Formula: see text] with [Formula: see text] [Formula: see text]-pure is itself [Formula: see text]-pure. We get many properties of [Formula: see text]-pure and [Formula: see text]-superfluous morphisms. As an application, we generalize the classical characterization of a projective cover to a general setting of an [Formula: see text]-cover. It is proven that an epimorphism [Formula: see text] in [Formula: see text] is an [Formula: see text]-cover of [Formula: see text] if and only if [Formula: see text] has an [Formula: see text]-cover and [Formula: see text] is an [Formula: see text]-superfluous epimorphism if and only if [Formula: see text] is [Formula: see text]-pure and there is no proper submodule [Formula: see text] of [Formula: see text] such that [Formula: see text] and [Formula: see text] is [Formula: see text]-pure. In addition, some dual results are also given.

scholarly journals Normal characterization by zero correlations

2006 ◽  
Vol 81 (3) ◽  
pp. 351-361 ◽  
Author(s):  
Eugene Seneta ◽  
Gabor J. Szekely
Keyword(s):  
Normal Distribution ◽  
Elementary Approach ◽  
Absolute Value ◽  
Classical Characterization ◽  
Zero Condition

AbstractSuppose Xi, i = 1,…,n are indepedent and identically distributed with E/X1/r < ∞, r = 1,2,…. If Cov (( − μ)r, S2) = 0 for r = 1, 2,…, where μ = EX1, S2 = , and , then we show X1 ~ N (μ, σ2), where σ2 = Var(X1). This covariance zero condition charaterizes the normal distribution. It is a moment analogue, by an elementary approach, of the classical characterization of the normal distribution by independence of and S2 using semi invariants. More generally, if Cov = 0 for r = 1,…, k, then E((X1 − μ)/σ)r+2 = EZr+2 for r = 1,… k, where Z ~ N(0, 1). Conversely Corr may be arbitrarily close to unity in absolute value, but for unimodal X1, Corr2( < 15/16, and this bound is the best possible.

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