13,948 research outputs found

    'Symbol ratio minimax sequences in the lexicographic order'

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    Consider the space of sequences of k letters ordered lexicographically. We study the set M(α) of all maximal sequences for which the asymptotic proportions α of the letters are prescribed, where a sequence is said to be maximal if it is at least as great as all of its tails. The infimum of M(α) is called the α-infimax sequence, or the α-minimax sequence if the infimum is a minimum. We give an algorithm which yields all infimax sequences, and show that the infimax is not a minimax if and only if it is the α-infimax for every α in a simplex of dimension 1 or greater. These results have applications to the theory of rotation sets of beta-shifts and torus homeomorphisms

    On digit frequencies in beta-expansions

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    We study the sets DF(β) of digit frequencies of β-expansions of numbers in [0,1]. We show that DF(β) is a compact convex set with countably many extreme points which varies continuously with β; that there is a full measure collection of non-trivial closed intervals on each of which DF(β) mode locks to a constant polytope with rational vertices; and that the generic digit frequency set has infinitely many extreme points, accumulating on a single non-rational extreme point whose components are rationally independent

    Evidenzbasierte Praxis: Patient mit Kopfschmerzen / Management of headache: from evidence to practice

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    Erkrankung und Symptom: Das trifft auf Kopfschmerzen zu und macht ihre Diagnose und Behandlung zu einer komplexen Herausforderung. Physiotherapeuten können zwischen verschiedenen Kopfschmerzarten differenzieren – und Patienten identifizieren, denen Manuelle Therapie helfen wird. Die aktuelle Evidenz bestätigt das [20]. Dr. Toby Hall zeigt, wie’s funktioniert

    Kirby Hall, Northamptonshire (Proof)

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    Lithotint by William L Walton (1796-1872), depicting a mansion with two workers standing in the entrance, two men loading grass on a horse cart and two more are relaxing on the grass. Original drawing by James Duffield Harding (1797-1863). Published in London May 1, 1844 by Chapman & Hall. Artist Proof. Originally produced for "The Baronial Halls, and Picturesque Edifices of England", London 1848, author; Samuel Carter Hall.Mr JA van Tilburg bequeathed his "prentenkabinet" of over 10 000 graphic works to the University of PretoriaJacob van Tilburgab201

    In response to: Cook C. How about a little love for non-thrust manipulation? [1]

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    I’d like to thank James Dunning, Anita Gross, Charlie Goldsmith, Toby Hall, Ken Olson, Valerie Phelps, Philip Sizer Jr, and Jean-Michel Brismée, for contributing their invited responses to my recent editorial titled ‘How about a little love for non-thrust manipulation’. I invited these individuals because I appreciate their contributions toward policy, evidence, and teaching, and desired to fully represent multiple viewpoints. As you can see by the responses, thoughts regarding the continued debate of thrust versus non-thrust are as polarizing as ever, and based on these responses, one can see that one answer does not fully cover all the questions on this issue

    supplemental_2 – Supplemental material for Reporting on the level of validity and reliability of questionnaires measuring Katakori severity: A systematic review

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    Supplemental material, supplemental_2 for Reporting on the level of validity and reliability of questionnaires measuring Katakori severity: A systematic review by Kaori Aoki, Toby Hall and Hiroshi Takasaki in SAGE Open Medicine</p

    supplemental – Supplemental material for Reporting on the level of validity and reliability of questionnaires measuring Katakori severity: A systematic review

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    Supplemental material, supplemental for Reporting on the level of validity and reliability of questionnaires measuring Katakori severity: A systematic review by Kaori Aoki, Toby Hall and Hiroshi Takasaki in SAGE Open Medicine</p

    Alister Spence Trio

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    This performance was a demonstration of the research in music composition and performance undertaken by Dr Alister Spence from UNSW, and musician colleagues, Lloyd Swanton, and Toby Hall, performing together as the Alister Spence Trio. This research investigates the agency of contingency in inter-genre, music making, and the continuum between composition and improvisation. (What I have termed the Experimental Composition, Improvisation Continuum or ECIC.

    Stanley Russon (Sir Toby Belch), publicity photograph, William Shakespeare\u27s "Twelfth Night" performed at Kingsbury Hall, University of Utah, April 26-28, 1945

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    Publicity photograph of Stanley Russon (Sir Toby Belch), in a scene from William Shakespeare\u27s "Twelfth Night," performed at Kingsbury Hall, University of Utah, April 26-28, 1945

    VCU Spring Jazz Festival, video disc two

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    Disc Two of Two VCU Spring Jazz Festival Small Jazz Ensembles Tony Martucci & Toby Whitaker, Directors Jazz Orchestra II Toby Whitaker, Director and Guests via video Taylor Barnett Ensemble Toby Whitaker Ensembles ensembles primarily of VCU faculty and former students 8 p.m. Thursday, April 8, 2021 Streamed live from the Sonia Vlahcevic Concert Hall / W.E. Singleton Center for the Performing Arts 922 Park Avenue | Richmond, V
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