14,403 research outputs found
Rota-Baxter operators on the polynomial algebras, integration and averaging operators
The 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
Yang-Baxter maps and the discrete KP hierarchy
We 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
Interviews with James K. and Millicent Baxter
Side 1. An interview with James k. Baxter about the Jerusalem community, Wanganui (1970's) -- Side 2. An interview with Millicent Baxter on how she came to write her memoirs at the age of 93 (1980).
Millicent Baxter is the mother of James K. Baxter.Radio New Zealand Sound Archive recordings dubbed by the Stout Research Centre Literary Archive
An interview with Millicent Baxter
Author and mother of James K. Baxter talks of her life and family.A Radio New Zealand Sound Archive recording dubbed by the Stout Research Centre Literary Archive
Australia, news from home [picture] /
After the oil painting by Harden S. Melville.; Title from blind stamp on mount.; Rex Nan Kivell Collection NK420/B, NK5786/B.; U2449; U2450
Michael Rodriguez interviews writer Charles Baxter
Charles Baxter talks about his book "The Feast of Love", the relationship between the landscape of Michigan and the setting of his novels, metaphysics in his novels, his career as both a writer and a college teacher, how a male author writes female characters, and voyeurism in his book. Baxter is interviewed by Michigan State University Librarian Michael Rodriguez. Part of the MSU Libraries' Michigan Writers Series
Photograph of Dr Neville Baxter: University of Tasmania Collection
A photograph (c.1970's) of Dr Neville Baxter (1930-1979), Chemistry Department, 1969-1979. From University Collection UT PH 1(B)
Baxter, David S.
David S. Baxter - Acting Senior Associate Director of Student Aid.https://digitalcommons.library.umaine.edu/univ_photos/1688/thumbnail.jp
Pattern avoidance in partial permutations
Motivated by the concept of partial words, we introduce an analogous concept of partial permutations. A partial permutation of length n with k holes is a sequence of symbols in which each of the symbols from the set {1,2,...,n-k} appears exactly once, while the remaining k symbols of are "holes". We introduce pattern-avoidance in partial permutations and prove that most of the previous results on Wilf equivalence of permutation patterns can be extended to partial permutations with an arbitrary number of holes. We also show that Baxter permutations of a given length k correspond to a Wilf-type equivalence class with respect to partial permutations with (k-2) holes. Lastly, we enumerate the partial permutations of length n with k holes avoiding a given pattern of length at most four, for each n >= k >= 1
Iain Baxter : Landscape Works
Catalogue 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
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