475 research outputs found
Instrument Science Report
No full textThis report describes preliminary calibration of the FOC polarizing filters. The approximate position angles of the filters were determined to be as follows. The POL0 filter passes light with electric vector parallel to the sample direction. The POL60 polarization direction is 60 ffi counterclockwise from POL0, as projected onto the sky, and the POL120 polarization direction is 120 ffi counterclockwise from POL0 as projected onto the sky. These position angles should be correct to within 10 ffi , and more accurate values will be obtained by further analysis of existing data. Additional observations will be needed to measure the image shifts and the relative throughputs of the polarizing filters. 0 DISTRIBUTION: FOC Project: D. Eaton, B. G. Taylor, R. Thomas, N. Towers IDT: entire FOC IDT TIB: D. Baxter, J. C. Blades, C. Cox, P. Greenfield, W. Hack, R. Jedrzejewski, A. Nota, F. Paresce, W. Sparks, All Instrument Scientists SCARS: D. Bazell, D. Gilmore, P. Hodge SESD: W. Baggett,..
Classical Yang-Baxter equation from supergravity
No full text© 2018 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the »https://creativecommons.org/licenses/by/4.0/» Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP 3 . We promote the open-closed string map, originally formulated by Seiberg & Witten, to a solution generating prescription in generalized supergravity. The approach hinges on a knowledge of an antisymmetric bivector Θ, built from antisymmetric products of Killing vectors, which is specified by the equations of motion. In the cases we study, the equations of motion reproduce the classical Yang-Baxter equation (CYBE) and Θ is the most general r-matrix solution. Our work generalizes Yang-Baxter deformations to non-coset spaces and unlocks gravity as a means to classify r-matrix solutions to the CYBE
Classical Yang-Baxter equation from supergravity
No full text© 2018 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the »https://creativecommons.org/licenses/by/4.0/» Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP 3 . We promote the open-closed string map, originally formulated by Seiberg & Witten, to a solution generating prescription in generalized supergravity. The approach hinges on a knowledge of an antisymmetric bivector Θ, built from antisymmetric products of Killing vectors, which is specified by the equations of motion. In the cases we study, the equations of motion reproduce the classical Yang-Baxter equation (CYBE) and Θ is the most general r-matrix solution. Our work generalizes Yang-Baxter deformations to non-coset spaces and unlocks gravity as a means to classify r-matrix solutions to the CYBE
Instrument Science Report
No full textThe algorithms and software used in the derivation of the results presented in the Instrument Science Report FOC-060 are described in greater detail. In particular, the details of the image preparation, nonlinear least squares fitting, and spline interpolation are described as well as the program listings included. DISTRIBUTION: TIB: D.A. Baxter, P. Greenfield, W. Hack SCARS: P. Hodge SPD: R. Jedrzejewski, F. Paresce 2 1. Introduction This Report will describe in more detail the algorithms and programs used to analyze the Orion Nebula UV flat field data, the results of which were described in Instrument Science Report FOC060. Ideally, this report would describe these in such detail and clarity that any reader would easily understand what I am talking about and would have no problem in running the software or writing new software to duplicate what I have done. Unfortunately time does not permit that. I hope to include enough information so that with sufficient effort, someone could..
Occupational health : additional support for the aging anesthesiologist : author reply
No full textReply to : FitzGerald D, Reid A, Fitzpatrick G, O'Neill D. Occupational health: additional support for the aging anesthesiologist. Can J Anaesth. 2015 Mar;62(3):329. doi: 10.1007/s12630-014-0296-5. Epub 2014 Dec 31. PMID: 25549987, which is a Comment on : Baxter AD, Boet S, Reid D, Skidmore G. The aging anesthesiologist: a narrative review and suggested strategies. Can J Anaesth. 2014 Sep;61(9):865-75. doi: 10.1007/s12630-014-0194-x. Epub 2014 Jul 2. PMID: 24985937; PMCID: PMC4160565. https://archive-ouverte.unige.ch/unige:183126</a
Yetter–Drinfeld post-Hopf algebras and Yetter–Drinfeld relative Rota–Baxter operators
No full textRecently, Li, Sheng and Tang introduced post-Hopf algebras and relative Rota–Baxter operators (on cocommutative Hopf algebras), providing an adjunction between the respective categories under the assumption that the structures involved are cocommutative. We introduce Yetter–Drinfeld post-Hopf algebras, which become usual post-Hopf algebras in the cocommutative setting. In analogy with the correspondence between cocommutative post-Hopf algebras and cocommutative Hopf braces, the category of Yetter–Drinfeld post-Hopf algebras is isomorphic to the category of Yetter–Drinfeld braces introduced by the author in a joint work with D. Ferri. This allows to explore the connection with matched pairs of actions and provide examples of Yetter–Drinfeld post-Hopf algebras. Moreover, we prove that the category of Yetter–Drinfeld post-Hopf algebras is equivalent to a subcategory of bijective Yetter–Drinfeld relative Rota–Baxter operators. The latter structures coincide with the inverse maps of Yetter–Drinfeld 1-cocycles introduced by the author and D. Ferri, and generalise bijective relative Rota–Baxter operators on cocommutative Hopf algebras. Hence the previous equivalence passes to cocommutative post-Hopf algebras and bijective relative Rota–Baxter operators. Once the surjectivity of the Yetter–Drinfeld relative Rota–Baxter operators is removed, the equivalence is replaced by an adjunction and one can recover the result of Li, Sheng and Tang in the cocommutative case
Yetter-Drinfeld post-Hopf algebras and Yetter-Drinfeld relative Rota-Baxter operators
No full textRecently, Li, Sheng and Tang introduced post-Hopf algebras and relative
Rota-Baxter operators (on cocommutative Hopf algebras), providing an adjunction
between the respective categories under the assumption that the structures
involved are cocommutative. We introduce Yetter-Drinfeld post-Hopf algebras,
which become usual post-Hopf algebras in the cocommutative setting. In analogy
with the correspondence between cocommutative post-Hopf algebras and
cocommutative Hopf braces, the category of Yetter-Drinfeld post-Hopf algebras
is isomorphic to the category of Yetter-Drinfeld braces introduced by the
author in a joint work with D. Ferri. This allows to explore the connection
with matched pairs of actions and provide examples of Yetter-Drinfeld post-Hopf
algebras. Moreover, we prove that the category of Yetter-Drinfeld post-Hopf
algebras is equivalent to a subcategory of Yetter-Drinfeld relative Rota-Baxter
operators. The latter structures coincide with the inverse maps of
Yetter-Drinfeld 1-cocycles introduced by the author and D. Ferri, and
generalise bijective relative Rota-Baxter operators on cocommutative Hopf
algebras. Hence the previous equivalence passes to cocommutative post-Hopf
algebras and bijective relative Rota-Baxter operators. Once the surjectivity of
the Yetter-Drinfeld relative Rota-Baxter operators is removed, the equivalence
is replaced by an adjunction and one can recover the result of Li, Sheng and
Tang in the cocommutative case.Comment: 22 page
The hyperbolic modular double and Yang-Baxter equation
No full textWe construct a hyperbolic modular double -- an algebra lying in between theFaddeev modular double for U_q(sl_2) and the elliptic modular double. Theintertwining operator for this algebra leads to an integral operator solutionof the Yang-Baxter equation associated with a generalized Faddeev-Volkovlattice model introduced by the second author. We describe also the L-operatorand finite-dimensional R-matrices for this model
Application of the optimized Baxter model to the hard-core attractive Yukawa system
No full textWe perform Monte Carlo simulations on the hard-core attractive Yukawa system to test the optimized Baxter model that was introduced by Prinsen and Odijk [J. Chem. Phys. 121, 6525 (2004) ] to study a fluid phase of spherical particles interacting through a short-range pair potential. We compare the chemical potentials and pressures from the simulations with analytical predictions from the optimized Baxter model. We show that the model is accurate to within 10% over a range of volume fractions from 0.1 to 0.4, interaction strengths up to three times the thermal energy, and interaction ranges from 6% to 20% of the particle diameter, and performs even better in most cases. We furthermore establish the consistency of the model by showing that the thermodynamic properties of the Yukawa fluid computed via simulations may be understood on the basis of one similarity variable, the stickiness parameter defined within the optimized Baxter model. Finally, we show that the optimized Baxter model works significantly better than an often used, naive method determining the stickiness parameter by equating the respective second virial coefficients based on the attractive Yukawa and Baxter potentials.Applied Science
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