116 research outputs found

    Unitals in projective planes

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    Susan Barwick, Gary Eberthttp://trove.nla.gov.au/work/2743167

    A characterisation of the lines external to a quadric cone in PG(3,q), q odd

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    In this article, the lines not meeting a quadric cone in PG(3, q) (q odd) are characterised by their intersection properties with points and planes.Susan G. Barwick, David K. Butle

    Rebellion at Coranderrk

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    More than a century ago an Aboriginal community in Victoria campaigned for recognition of their right to occupy and control the small acreage they had farmed for 25 years. Others wanted to develop this tract. Government spokesmen denied that the occupants had inherited any rights to this land and declared that, anyway, they were not really Aborigines. This book is about the rebellion at Coranderrk Aboriginal Station between 1874 and 1886. It describes how Coranderrk families fought to keep their land. To explain why they fought I must begin with the years before, to show what this 'miserable spadeful of ground' meant to them, and how they came to be there. Finally, I sketch what ultimately happened. First published in 1998, 12 years after the death of its author Diane Barwick, Rebellion at Coranderrk was an attempt to rectify some of the injustices of the past two-hundred-plus years in Australia, and to prevent similar occurrences in the future. It remains acutely relevant

    Birmingham News sleeve BN0059460

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    Lifestyle / Scribblers / Author Jim Muir and Robert Moore and Mary Barwick signing Mur's book at Little Professor / They are signing Gail Sheppard of Hoover's book / Author Jim Muir has book-signing / Book is "Little Girls Have to Sleep" for children / Little Professor - Homewood / 2717 18th Street / Scribblers / Limit of 4 people / 1st lady not / 2nd woman Gail Sheppard - Hoover / Alexandria daughter / Robert Moore, Mary Barwick, Jim Muir / [Work order included

    Una lamentación de Jeremías compuesta en el siglo XVI para el uso de la Catedral de México. Anales del Instituto Nacional de Antropología e Historia. Num. 47 Tomo XVIII (1965) Sexta Época (1939-1966)

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    Bal y Gay, J., ed. Tesoro de la Música Polifónica en México, 1, El Códice del Convento del Carmen, Instituto Nacional de Bellas Artes. México, 1952.Barwick, S. Sacred Vocal Polyphony in Early Colonial Mexico. Harvard University Ph. D. dissertation,1949.Barwick, S. The Franco Codex, Transcription and Commentary. Southern Illinois University Press, 1965.Estrada, J. Clásicos de Nueva España: Ensayo histórico sobre los Maestros de Capilla de la Catedral de México, Scola Cantorum. Morelia, 1945.Saldívar, G. Historia de la Música en México: Epocas Precortesiana Colonial. México. 1934.Spell, L. M. Music in the Cathedral of Mexico in the Sixteenth Century. The Hispanic American Review, Agosto de 1946.Stevenson, R. Music in Mexico, A Historical Survey. New York, 1952

    RICE CHORALE THOMAS JABER, Music Director with JOSEPH CAUSBY, Organist and the CHAPELWOOD UNITED METHODIST CHURCH CHANCEL BELLS Andrea Jaber, Director CHRISTMAS CONCERT Monday, November 29, and Tuesday, November 30, 2010 8:00 p.m. Edythe Bates Old Recital Hall and Grand Organ

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    PROGRAM: It Came Upon The Midnight Clear -- Hark! The Herald Angels Sing -- Loi How A Rose E'er Blooming / Maria Failla -- Old Hundredth / Douglas Wagner -- 0 Come, All Ye Faithful / Sir David Willcocks -- 0 Come, 0 Come Emmanuel / Andrew Schneider -- Gloria / Susan Barwick -- Fantasie in E-jlat Major / Camille Saint-Saens -- Kyrie / Maurice Durufle -- Quelle est cette odeur agreable? / French Carol -- Sanctus / Maurice Durufle -- Fum,Fum,Fum / Chancel Bells -- I Remember from Evening Primrose / Stephen Sondheim -- Winter is good / Keith Allegretti -- I Heard The Bells On Christmas Day / Peter Johns -- Sweet Little Jesus Boy / Robert MacGimsey -- Gloria / Antonio Vivald

    Quadrics & Quadrals, Combinatorics & Characterisations: a Survey of Subspaces

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    Results which link two distinct branches of mathematics are oftentimes remarkable. In Projective Finite spaces, we are fortunate to often observe such links. For example, finite projective spaces, which are defined combinatorially, when of dimension n ≥ 3 are isomorphic to projective spaces defined over a field. In this way, an abstract definition is given an algebraic underpinning. In this thesis we survey results which characterise algebraic constructions – quadrics – in projective finite spaces using purely combinatorial terms. A quadric is the set of points satisfying a second order polynomial, and there are many combinatorial characterisations for quadrics. We further refine our survey by looking not at characterisations which describe quadrics directly, instead we seek those characterisations which identify subspaces that meet a quadric in a certain way. Perhaps unsurprisingly, there is not a way of uniquely describing every quadric using purely combinatorial methods. Perhaps surprisingly, there are few counterexamples (where “few” refers to two infinite families). Sets combinatorially indistinguishable from a quadric, such as the Suzuki-Tits Ovoids, are not completely understood, and provide an avenue for further research. Collectively, sets combinatorially indistinguishable from quadrics, along with the quadrics, are referred to as quadrals, a term coined in [14]. In this document we survey combinatorial characterisations of subspaces associated with quadrics in PG(n, q), the projective finite space of dimension n and order q. In particular, we focus on n = 3 and 4. Chapter 1 of this thesis is dedicated to the background information needed to begin the study of quadrals. We also present a few characterisations of quadrics as point sets. Point set characterisations are often used in the process of characterising subspaces associated with quadrals. We end the chapter by presenting a few of the early characterisations of subspaces. In Chapter 2, we begin our survey in earnest, examining existing results pertaining to the three dimensional quadrics. To begin, we present a proof typical in this area as means of demonstration for the commonly used techniques. We go on to present the many surveyed results for the irreducible three dimensional quadrics, before summarising all known characterisations in Table 2.1. Lastly we present the combinatorial properties of the three dimensional quadrics in Section 2.6. In Chapter 3, we prove new characterisations of the sets of planes which meet the 3-dimensional quadrics. Many of the characterisations are proved in two ways. Using purely combinatorial arguments and alternatively using dualisation arguments. In Chapter 4, we look at the four dimensional quadrics. There are few existing characterisations in PG(4, q) of the singular quadrics, so we focus on P4, the non-singular quadric in PG(4, q). We present some of the combinatorial properties of P4 in Section 4.2. Again, we summarise the surveyed results in Table 4.6. We finish the chapter by providing several conjectures for further study using the tables in Section 4.2 and Table 4.6 as well as proving a new characterisation for the generator lines of P4. Lastly, in Chapter 5, we survey results applicable in PG(n, q) for n ≥ 4. We also present a new interesting corollary of a recent result, currently under review. Lastly, we prove two new characterisations using a dualisation argument, and provide commentary on direction for future research.Thesis (MPhil) -- University of Adelaide, School of Computer and Mathematical Sciences, 202

    Translation Planes

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    Hermitian Curves and Unitals

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    Characterization Results

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