2,944 research outputs found
Iain Baxter : Landscape Works
No full textCatalogue to accompany Baxter’s exhibition of approximately 40 multidisciplinary landscape works (1965-1999) in painting, photography, printmaking, video and sculpture. Tupper’s foreword draws attention to the artist’s connections with Alberta and its landscape. The author also refers to the role of landscape in Baxter’s art as a “container for the social and the self.” The artist’s statement describes the various uses of landscape in his studies and work since the late 1950s. In her biographical essay, curator Townsend analyses Baxter’s artistic contribution over four decades, giving special attention to landscape and the impact of the N. E. Thing Company (founded with Ingrid Baxter in 1966) on the genre’s renewal. Bibliography 1p. 4 bibl. ref
David Walker collection, 1834-1879
No full textThis collection contains correspondence from prominent Arkansans to David Walker, and other miscellaneous documents.; Correspondents include: Benjamin F. Danley, C. C. Danley, Thomas Drew, Elbert English, W. B. Flippen, Absalom Fowler, Benjamin Johnson, Augustus Garland, William R. Miller, James Mitchell, Isaac Murphy, Henry Rector, Logan Roots, R. W. Trimble, George C. Watkins, A. J. Wilson, William Woodruff, and Archibald Yell. The correspondence concerns legal, financial, and political matters from the 1830s until the 1870s, including secession, the Civil War, and the Brooks-Baxter War.; This collection was originally numbered H-12 and is part of the J. N. Heiskell Historical Collection, courtesy Arkansas Gazette Foundation.David Walker collection, 1834-187
Bijections for Baxter families and related objects
No full textThe Baxter number can be written as . These numbers have first appeared in the enumeration of so-called Baxter permutations; is the number of Baxter permutations of size , and is the number of Baxter permutations with descents and rises. With a series of bijections we identify several families of combinatorial objects counted by the numbers . Apart from Baxter permutations, these include plane bipolar orientations with vertices and faces, 2-orientations of planar quadrangulations with white and black vertices, certain pairs of binary trees with left and right leaves, and a family of triples of non-intersecting lattice paths. This last family allows us to determine the value of as an application of the lemma of Gessel and Viennot. The approach also allows us to count certain other subfamilies, e.g., alternating Baxter permutations, objects with symmetries and, via a bijection with a class of plan bipolar orientations also Schnyder woods of triangulations, which are known to be in bijection with 3-orientations.Postprint (published version
Special Solutions of the Quantum Yang-Baxter Equation
No full textWe present solutions of the Quantum Yang-Baxter Equation that satisfy the condition R ab cd 6= 0 ) (fa; bg = fc; dg) or (b = oe(a) and d = oe(c)); where oe denotes the involution on f1; : : : ; ng given by oe(i) = n + 1 \Gamma i. AMS Subject Classification (1991): 81R50, 57M25. Keywords and Phrases: multiparameter R-matrix, Quantum Yang-Baxter equation. Note: The author is supported by NWO, Grant N. 611-307-100. 1 Introduction In this report we construct special solutions of the Quantum Yang-Baxter Equation (QYBE). The QYBE involves a regular n 2 \Theta n 2 -matrix R over the field of complex numbers and can shortly be written as R12R13R23 = R23R13R12 . In this equation, R12 denotes the n 3 \Theta n 3 - matrix that arises by letting R act on the first and second factor of the tensor product C n\Omega C n\Omega C n . The matrices R13 and R23 are defined similarly. Written out in components the QYBE takes the following form: X i;j;k R ab ij R ic uk R jk vw = ..
Physiotherapy based on the Bobath concept in stroke rehabilitation: a survey within the UK
No full textPURPOSE: The Bobath concept is one of the most widely used approaches in stroke rehabilitation within Europe. This survey aimed to provide an expert consensus view of the theoretical beliefs underlying current Bobath practise in the UK.METHOD: Questionnaires (with sections related to: therapist background, physiotherapy management, theoretical beliefs and gait re-education strategies used) were posted to all senior level physiotherapists working in stroke care (n = 1,022).RESULTS: The majority of respondents had more than 10 year's experience overall and at least 5 years experience in stroke care. The Bobath concept was the preferred approach (n = 67%) followed by an 'eclectic' approach (n = 31%). Despite a high level of consensus between groups, there were 13 significant differences highlighted between Bobath and 'eclectic' groups related to recovery, control of tone, the analysis and facilitation of normal movement and function. In summary. Bobath therapists considered that patients needed to have normal tone and use normal movement patterns in order to perform functional tasks. They would delay patients from performing tasks independently if abnormal tone and movement would be reinforced by task practice. They were not opposed to the use of walking aids and orthotics.CONCLUSIONS: This survey has raised several issues for debate within physiotherapy such as the automatic translation of movement into function, carry over outside therapy, and the way in which tasks should be practiced. The dominance of the Bobath concept needs to be justified by establishing that it is both effective and efficient at achieving its treatment aims of: normalizing tone, improving intrinsic recovery of the affected side and function within everyday tasks
Rota-Baxter operators on dihedral and alternating groups
No full textRota-Baxter operators on algebras, which appeared in 1960, have connections
with different versions of the Yang-Baxter equation, pre- and postalgebras,
double Poisson algebras, etc. In 2020, the notion of Rota-Baxter operator on a
group was defined by L. Guo, H. Lang, Yu. Sheng.
In 2023, V. Bardakov and the second author showed that all Rota-Baxter
operators on simple sporadic groups are splitting, i. e. they are defined via
exact factorizations. In the current work, we clarify for which , there
exist non-splitting Rota-Baxter operators on the alternating group
. For the corresponding , we describe all non-splitting
Rota-Baxter operators on . Moreover, we describe Rota-Baxter
operators on dihedral groups providing the general construction which
lies behind all non-splitting Rota-Baxter operators on and
.Comment: 20
Bijections for Baxter families and related objects
No full textThe Baxter number can be written as . These numbers have first appeared in the enumeration of so-called Baxter permutations; is the number of Baxter permutations of size , and is the number of Baxter permutations with descents and rises. With a series of bijections we identify several families of combinatorial objects counted by the numbers . Apart from Baxter permutations, these include plane bipolar orientations with vertices and faces, 2-orientations of planar quadrangulations with white and black vertices, certain pairs of binary trees with left and right leaves, and a family of triples of non-intersecting lattice paths. This last family allows us to determine the value of as an application of the lemma of Gessel and Viennot. The approach also allows us to count certain other subfamilies, e.g., alternating Baxter permutations, objects with symmetries and, via a bijection with a class of plan bipolar orientations also Schnyder woods of triangulations, which are known to be in bijection with 3-orientations
Deformations of relative Rota-Baxter operators on Leibniz Triple Systems
No full textIn this paper, we introduce the cohomology theory of relative Rota-Baxter
operators on Leibniz triple systems. We use the cohomological approach to study
linear and formal deformations of relative Rota-Baxter operators. In
particular, formal deformations and extendibility of order deformations of
a relative Rota-Baxter operators are also characterized in terms of the
cohomology theory. We also consider the relationship between cohomology of
relative Rota-Baxter operators on Leibniz algebras and associated Leibniz
triple systems.Comment: 24pages. arXiv admin note: text overlap with arXiv:2005.00729,
arXiv:2204.04872 by other author
On finite involutive Yang-Baxter groups
No full text[EN] A group G is said to be an involutive Yang¿Baxter group, or simply an IYB-group, if it is isomorphic to the permutation group of an involutive, nondegenerate set-theoretic solution of the Yang-Baxter equation. We give new sufficient conditions for a group that can be factorised as a product of two IYB-groups to be an IYB-group. Some earlier results are direct consequences of our main theorem.The research of this paper was supported by the grant PGC2018-095140-B-I00 from the Ministerio de Ciencia, Innovacion y Universidades and the Agencia Estatal de Investigacion, Spain, and FEDER, European Union, and by the grant PROMETEO/2017/057 from the Generalitat, Valencian Community, Spain.
The first author was supported by the predoctoral grant 201606890006 from the China Scholarship Council.
The fourth author was supported by a predoctoral grant from the "Atraccio del talent" Programme from the Universitat de Valencia.Meng, H.; Ballester-Bolinches, A.; Esteban Romero, R.; Fuster-Corral, N. (2021). On finite involutive Yang-Baxter groups. Proceedings of the American Mathematical Society. 149(2):793-804. https://doi.org/10.1090/proc/15283S793804149
Pindar the pious poet: prayer and its significance in Pindar's epinician odes
No full textScholars studying Pindar’s epinician odes have often focused on the relationship of the victor with his family, his community, and the poet. The odes have even been labeled secular poems because of this perceived emphasis on mortal parties. An athletic victory is a moment of divine favor, however, and Pindar’s epinician odes deal with the relationship between the victor and his gods. The victor has received favor from the gods in the form of his victory, and now must discharge his debt to the gods through praise and thanks. He may then reassess his relationship with the gods, and attempt to secure future favors from them. Pindar uses the epinician performance as a medium in which to mediate this interaction. Prayers act as a nexus of communication between men and the gods. By studying the prayers of five of Pindar’s epinician odes (Pythian 8, Isthmian 6, Nemean 9, and Olympian 13), I show how Pindar uses his position as an aoidos, an intermediary between men and gods, to facilitate communication between them. Acting on behalf of the victor, Pindar frequently calls the gods to attention and reminds them of their previous relationship with the victor, especially the previous victories they have bestowed on him. He also assures the gods that the victor embraces the positive qualities that make him a worthy candidate for further favor, as he shows the gods that the victor will offer the gods their due of thanks for success, and that the victor will not attempt to transgress the limits the gods have set on mortal men. At the same time, Pindar acts on behalf of the gods by reminding the victor of those very conditions that accompany their divine favor. These elements are woven together neatly into the larger structure of the odes, and allow Pindar, and the victor, to feel hopeful that the gods will continue to show favor to the victor, his family, and his community in the future. The epinician ode is a numinous moment when communication between men and gods is possible, and Pindar takes care to facilitate these negotiations.Ph. D.Includes bibliographical referencesby Kristen N. Baxte
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