Sailing to Sicily

2018 ◽  
Author(s):  
Margaret Foster
Keyword(s):  
Coherent Pair

Chapter 2 addresses the partnership between Odysseus and the seer Theoklymenos in the Odyssey. I argue that the seer and the hero operate as a coherent pair within the framework of colonization and that Theoklymenos aids Odysseus-as-oikist in effecting the metaphorical refoundation of Ithaka. Theoklymenos and Odysseus reveal that the pairing of the seer and oikist is a possible and productive construct. Yet Homer’s presentation of Theoklymenos as a doublet of Odysseus also suggests the potential for competition between the seer and oikist in post-Homeric foundation tales.

An Extension of the Coherent Pair of Measures of the Second Kind on the Unit Circle

2021 ◽  
pp. 113-142
Author(s):  
Lino G. Garza ◽  
F. Marcellán ◽  
A. Sri Ranga
Keyword(s):  
Unit Circle ◽  
Coherent Pair

scholarly journals A Reduction of the NF consistency Problem

2007 ◽  
Vol 72 (1) ◽  
pp. 285-304 ◽  
Author(s):  
Athanassios Tzouvaras
Keyword(s):  
Generic Extension ◽  
Sufficient Condition ◽  
Ground Model ◽  
Necessary And Sufficient Condition ◽  
Coherent Pair ◽  
Consistency Problem ◽  
Coherent Pairs ◽  
Necessary And Sufficient ◽  
Type Shifting

AbstractWe give a necessary and sufficient condition in order that a type-shifting automorphism be constructed on a model of the Theory of Simple Types (TST) by forcing. Namely it is proved that, if for every n ≥ 1 there is a model of TST in the ground model M of ZFC that contains an n-extendible coherent pair, then there is a generic extension M[G] of M that contains a model of TST with a type-shifting automorphism, and hence M[G] contains a model of NF. The converse holds trivially. It is also proved that there exist models of TST containing 1-extendible coherent pairs.

scholarly journals Coherent pair creation in linear colliders

1989 ◽  
Vol 63 (17) ◽  
pp. 1796-1799 ◽  
Author(s):  
Pisin Chen ◽  
Valery I. Telnov
Keyword(s):  
Pair Creation ◽  
Linear Colliders ◽  
Coherent Pair

scholarly journals COHERENT PAIR PRODUCTION IN DEFORMED CRYSTALS WITH A COMPLEX BASE

2006 ◽  
Vol 20 (25) ◽  
pp. 1617-1627 ◽  
Author(s):  
A. R. MKRTCHYAN ◽  
A. A. SAHARIAN ◽  
V. V. PARAZIAN
Keyword(s):  
Differential Cross Section ◽  
Single Crystal ◽  
Cross Section ◽  
High Energy ◽  
Pair Creation ◽  
Deformation Field ◽  
Crystallographic Axis ◽  
Electron Positron ◽  
Coherent Pair ◽  
Electron Positron Pair

We investigate the coherent electron–positron pair creation by high-energy photons in a periodically deformed single crystal with a complex base. The formula for the corresponding differential cross-section is derived for an arbitrary deformation field. The conditions are specified under which the influence of the deformation is considerable. The case is considered in detail when the photon enters into the crystal at small angles with respect to a crystallographic axis. The results of the numerical calculations are presented for SiO 2 single crystal and Moliere parametrization of the screened atomic potentials in the case of the deformation field generated by the acoustic wave of S type. In dependence of the parameters, the presence of deformation can either enhance or reduce the pair creation cross-section. This can be used to control the parameters of the positron sources for storage rings and colliders.

scholarly journals ON THE THEORY OF COHERENT PAIR PRODUCTION IN CRYSTALS IN THE PRESENCE OF ACOUSTIC WAVES

2002 ◽  
Vol 17 (39) ◽  
pp. 2571-2580 ◽  
Author(s):  
A. R. MKRTCHYAN ◽  
A. A. SAHARIAN ◽  
L. SH. GRIGORYAN ◽  
B. V. KHACHATRYAN
Keyword(s):  
Differential Cross Section ◽  
Cross Section ◽  
Acoustic Waves ◽  
High Energy ◽  
Pair Creation ◽  
Wave Number ◽  
Electron Positron ◽  
Coherent Pair ◽  
Electron Positron Pair ◽  
Coherent Part

The influence of hypersonic waves excited in a single crystal is investigated on the process of electron–positron pair creation by high-energy photons. The coherent part of the corresponding differential cross-section is derived as a function of the amplitude and wave number of the hypersound. The values of the parameters are specified for which the latter affects remarkably on the pair creation cross-section. It is shown that under certain conditions the presence of hypersonic waves can result in enhancement of the process cross-section.

scholarly journals (1,1)-Coherent Pairs on the Unit Circle

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Luis Garza ◽  
Francisco Marcellán ◽  
Natalia C. Pinzón-Cortés
Keyword(s):  
Orthogonal Polynomials ◽  
Unit Circle ◽  
Linear Functional ◽  
Linear Functionals ◽  
Spectral Transformation ◽  
Coherent Pair ◽  
Coherent Pairs

A pair(𝒰,𝒱)of Hermitian regular linear functionals on the unit circle is said to be a(1,1)-coherent pair if their corresponding sequences of monic orthogonal polynomials{ϕn(x)}n≥0and{ψn(x)}n≥0satisfyϕn[1](z)+anϕn-1[1](z)=ψn(z)+bnψn-1(z),an≠0,n≥1, whereϕn[1](z)=ϕn+1′(z)/(n+1). In this contribution, we consider the cases when𝒰is the linear functional associated with the Lebesgue and Bernstein-Szegő measures, respectively, and we obtain a classification of the situations where𝒱is associated with either a positive nontrivial measure or its rational spectral transformation.

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