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Weakly one-based geometric theories

2012
*
Journal of Symbolic Logic (JSL)
*

We also show that the lovely pair expansion of a non-trivial

doi:10.2178/jsl/1333566629
fatcat:75rkdyzb4bbbrpw37m2jd6c72i
*weakly**one*-*based*ω-categorical*geometric**theory*interprets an infinite vector space over a finite field. ... We study the class of*weakly*locally modular*geometric**theories*introduced in [4], a common generalization of the classes of linear SU-rank 1 and linear o-minimal*theories*. ...*one*-*based**geometric**theory*. ...##
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Book Review: Vertex algebras and algebraic curves

2002
*
Bulletin of the American Mathematical Society
*

Frenkel, Lepowsky and Meurman

doi:10.1090/s0273-0979-02-00955-2
fatcat:lrutac4r6rc2jefhy7luzukfbi
*based**on*their earlier construction of and their results*on*the moonshine module. ... This superb book contains the first published systematic exposition of the algebro-*geometric*approach to vertex algebras and its relation with the algebraic approach. ... To construct the algebro-*geometric*portions of general*weakly*conformal field*theories*,*one*first has to formulate these algebro-*geometric*portions in general. ...##
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Page 6267 of Mathematical Reviews Vol. , Issue 99i
[page]

1999
*
Mathematical Reviews
*

In

*geometrical*terms, the evolution equations in mechanics are described by a vector field*on*the phase space. ... Multisymplectic geometry provides a nice*geometric*framework for classical field*theories*which is very close to the symplectic formal- ism for mechanics. ...##
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Geometric duality and parametric duality for multiple objective linear programs are equivalent
[article]

2018
*
arXiv
*
pre-print

We show the converse statement: parametric duality can be derived from

arXiv:1803.05546v2
fatcat:6ccz4voqejflri4sedrpatxzpa
*geometric*duality. We point out that an easy*geometric*transformation embodies the relationship between both duality*theories*. ... The advantages of each*theory*are discussed. ... The*theories*we consider in this paper are*geometric*duality by Heyde and Löhne [3] and parametric duality as introduced by Luc in [8, Section 4] . ...##
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New Z-Eigenvalue Localization Set for Tensor and Its Application in Entanglement of Multipartite Quantum States

2022
*
Mathematics
*

*On*the other hand, we present theoretical bounds of the

*geometric*measure of entanglement for a

*weakly*symmetric multipartite quantum state with non-negative amplitudes by virtue of different distance ... This study focuses

*on*tensor Z-eigenvalue localization and its application in the

*geometric*measure of entanglement for multipartite quantum states. ... As applications, we are devoted to the

*geometric*measure of entanglement

*on*the ground of tensor Z-eigenvalue

*theory*. ...

##
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Page 1217 of Mathematical Reviews Vol. 43, Issue 5
[page]

1972
*
Mathematical Reviews
*

D. 6704

*Geometric**theory*of Banach spaces. I.*Theory*of basic and minimal systems. (Russian) Uspehi Mat. Nauk 25 (1970), no. 3 (153), 113-174. ... In this paper the authors now | succeed in giving an affirmative answer to this question, solving*one*of the fundamental problems of basis*theory*. ...##
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Page 1778 of Mathematical Reviews Vol. , Issue 91C
[page]

1991
*
Mathematical Reviews
*

(D-FRNK)

*On*the connectedness of the set of*weakly*efficient points of a vector optimization problem in locally convex spaces. J. Optim.*Theory*Appl. 65 (1990), no. 2, 257-270. ... Previous results*on*the connectedness of*weakly*efficient sets are extended to the infinite case. ...##
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On the relation between continuous and combinatorial

2016
*
Journal of Homotopy and Related Structures
*

Also, given a

doi:10.1007/s40062-016-0131-5
fatcat:prcbtoalvvbotayvzqwkoolzeu
*geometric*morphism g : F → E between pre-cohesive toposes F and E (over the same*base*), we define what it means for g to preserve pieces. ... We introduce*weakly*Kan objects in a pre-cohesive topos. ... In Sect. 8 we show that if g : F → E (over the same*base*) preserves pieces then the direct image g * : F → E preserves*weakly*Kan objects. ...##
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Weak One-Basedness

2013
*
Notre Dame Journal of Formal Logic
*

Our main results are that this notion characterises linearity in the setting of

doi:10.1215/00294527-2143934
fatcat:j2opkh3imbahbmxzc5yli7akeu
*geometric*þ-rank 1 structures and that lovely pairs of*weakly**one*-*based**geometric*þ-rank 1 structures are*weakly**one*-*based*... We study the notion of weak*one*-*basedness*introduced in recent work of Berenstein and Vassiliev. ... We prove in §4 that if M is*geometric*with þ-rank 1 and (M, | acl ) is*weakly**one*-*based*then | þ in a sufficiently saturated model of the corresponding*theory*of lovely pairs will also be*weakly**one*-*based*...##
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Classifying topoi and the axiom of infinity

1989
*
Algebra Universalis
*

In the known constructions [1, 4, 6] of classifying topoi for

doi:10.1007/bf01211840
fatcat:nbwueiqid5fihkge7di5iiihky
*geometric**theories*, it is always assumed that the*base*topos fie satisfies the axiom of infinity. ... Let T be the*one*-sorted*geometric**theory*having*one*constant symbol o,*one*unary function symbol ~, no other non-logical symbols, and no axioms. ...##
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Emergent Strings, Duality and Weak Coupling Limits for Two-Form Fields
[article]

2019
*
arXiv
*
pre-print

Concretely we first consider

arXiv:1904.06344v2
fatcat:cnnfdkplajebfde3japvjrefri
*weakly*coupled tensor fields in six-dimensional compactifications of F-*theory*, where the arising tensionless strings play the role of dual*weakly*coupled heterotic strings. ... IIB strings, again*on*K3 surfaces. ... Six-dimensional Type IIA compactifications*on*K3 surfaces do not have 2-forms which can become*weakly*coupled in the*geometric*moduli space. ...##
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High‐frequency nonlinear acoustic beams and wave packets

1992
*
Journal of the Acoustical Society of America
*

The

doi:10.1121/1.405213
fatcat:zgpo6hvcpnexflcc3txcix2hai
*theory*of*weakly*nonlinear high-frequency waves is extended in this paper to allow for complex phase solutions. ...*Geometrical*singularities due to caustics and loci do not occur, and the only singularities in the*theory*are purely nonlinear. ... waves, 9 and also to the linear*theory*of*geometrical*optics. m-12 The effects of refraction enter the*weakly*nonlinear*theories*through the rays of*geometrical*optics while nonlinear effects enter via ...##
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Impact of nonlinear hydrodynamic modelling on geometric optimisation of a spherical heaving point absorber

2021
*
Zenodo
*

In order to focus

doi:10.5281/zenodo.5503857
fatcat:762q24agzratjbkx7hpjhepzfu
*on*the essential issues, this study takes the simplest possible device for optimisation, a heaving sphere (with just*one*free parameter), but*one*which exhibits nonlinear hydrodynamic ... Due to the amount of iterative computation involved, researchers involved in*geometric*optimisation of wave energy devices typically employ linear hydrodynamic models. ... energy*based**on*those principles. ...##
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Page 2715 of Mathematical Reviews Vol. , Issue 2003d
[page]

2003
*
Mathematical Reviews
*

of the field

*theory**based**on*the canonical field 2-form. ...*On*account of the fact that the*geometrical*objects associated to *gi;(x,y) are generally found to be complicated, the authors choose particular values of a,b and B; and consider the special form of the ...##
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Page 6620 of Mathematical Reviews Vol. , Issue 99j
[page]

1999
*
Mathematical Reviews
*

More generally, given a cost function f

*on*the unit d-sphere Uz, we can define an elliptic distribution*based**on*the second moments of f. ... (If “induced” is replaced by “finite induced”, we get*weakly*compat- ible.) A*weakly*compatible topology*on*the vertex set completely determines the graph structure. ...
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