62,017 research outputs found
Rota-Baxter operators on the polynomial algebras, integration and averaging operators
No full textThe concept of a Rota–Baxter operator is an algebraic abstraction of integration. Following this classical connection, we study the relationship between Rota–Baxter operators and integrals in the case of the polynomial algebra k[x]
k[x]
. We consider two classes of Rota–Baxter operators, monomial ones and injective ones. For the first class, we apply averaging operators to determine monomial Rota–Baxter operators. For the second class, we make use of the double product on Rota–Baxter algebras
Baxter, D E, Malaya 855
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete. Visit this record in UMA's new catalogue at: https://archives.library.unimelb.edu.au/nodes/view/370723Surname: BAXTER
Given Name(s) or Initials: D E
Military Service Number or Last Known Location: MALAYA 855
Missing, Wounded and Prisoner of War Enquiry Card Index Number: 15704181078
Item: [2016.0049.03050] "Baxter, D E, Malaya 855
Yang-Baxter maps and the discrete KP hierarchy
No full textWe present a systematic construction of the discrete KP hierarchy in terms of Sato–Wilson-type shift operators. Reductions of the equations in this hierarchy to 1+1-dimensional integrable lattice systems are considered, and the problems that arise with regard to the symmetry algebra underlying the reduced systems as well as the ultradiscretizability of these systems are discussed. A scheme for constructing ultradiscretizable reductions that give rise to Yang–Baxter maps is explained in two explicit examples
Using the Arts in Black Worship and Preaching
No full textA recording of a Zoom webinar on December 3, 2020 featuring Rev. Dr. Otis Moss III and members of the Lancaster Theological Seminary Faculty. Digital video recording (mp4). Duration: 1 hour.Rev. Dr. Otis Moss, III is the senior pastor of Trinity United Church of Christ in Chicago, IL. He is joined in this webinar by members of the Lancaster Theological Seminary: Rev. Dr. Catherine E. Williams, Assistant Professor of Preaching and Worship and Rt. Rev. Dr. Nathan D. Baxter, Senior Adjunct Professor and Retired Bishop of the Central Pennsylvania Episcopal Dioces
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
The clinical and cost-effectiveness of peginterferon alfa and ribavirin for the treatment of chronic hepatitis C in children and young people
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