45,018 research outputs found
Barwick, W J Brisbane, QX20025
No full textThis record was harvested from a previous catalogue system and will be withdrawn in 2025. Information in this record may be superseded or incomplete.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/370533Surname: BARWICK
Given Name(s) or Initials: W J BRISBANE
Military Service Number or Last Known Location: QX20025
Missing, Wounded and Prisoner of War Enquiry Card Index Number: 23583180793
Item: [2016.0049.02860] "Barwick, W J Brisbane, QX20025
A characterisation of tangent subplanes of PG(2, q (3))
No full textIn “Barwick and Jackson (Finite Fields Appl. 18:93–107 2012)”, the authors determine the representation of Order-q-subplanes s and order-q-sublines of PG(2, q³) in the Bruck–Bose representation in PG(6, q). In particular, they showed that an Order-q-subplanes of PG(2, q³) corresponds to a certain ruled surface in PG(6, q). In this article we show that the converse holds, namely that any ruled surface satisfying the required properties corresponds to a tangent Order-q-subplanes of PG(2, q³).S. G. Barwick, Wen-Ai Jackso
An optimal multisecret threshold scheme construction
No full textThe original publication can be found at www.springerlink.comA multisecret threshold scheme is a system which protects a number of secret keys among a group of n participants. There is a secret sK associated with every subset K of k participants such that any t participants in K can reconstruct the secret sK, but a subset of w participants cannot get any information about a secret they are not associated with. This paper gives a construction for the parameters t = 2, k = 3 and for any n and w that is optimal in the sense that participants hold the minimal amount of information.S. G. Barwick and Wen-Ai Jackso
O pułapce „skojarzeniowej” w humanistyce. (Na marginesie uroszczenia S. Gałkowskiego w jego próbie „logicznej” wykładni Znanieckiego)
No full textAutor polemiki we wstępie wskazuje na zjawisko "reductio ad absurdum" koncepcji Znanieckiego w wykładni adresata jego krytyki. Dalej jest zarysowana ogólna perspektywa sprzeciwu wobec podejścia Stanisława Gałkowskiego. Przedstawiono także krytycyzm i pochwały wobec Znanieckiego ze strony autora polemiki. W tekście wskazuje się na pułapkę czytania epistemicznego jako etyczne nadużycie logiki. Wreszcie, zamiast zakończenia, mówi się o traktowaniu tradycji myśli humanistycznej i uczula na błędy interpretacyjne popełnione przez krytykowanego autora. Główny błąd polega na skojarzeniach czytelnika blokujących mu głębszy dostęp do znaczenia czytanej koncepcji.In his introduction the author of this polemic indicates the phenomenon of "reductio ad absurdum" of Znaniecki's conception in the exegesis of the addressee of this criticism. Next there is an outline sketched concerning the general perspective of disagreement against the approach by S. Gałkowski. There is also outlined criticism and appraisal towards Znaniecki by the author of this polemics. The text illustrates the trap of an epistemic reading as an ethical abuse of logics. Finally instead of a conclusion one is discussing the ways of treatement of the tradition of humanistic reflection and it warns against interpretative errors committed by the criticised author. The basic error is perceived as the result of domination of application of harmful associations of the leader blocking the way to deeper sense of the conception
Characterising pointsets in PG(4,q) that correspond to conics
No full textReceived: 23 November 2014 / Revised: 8 April 2015 / Accepted: 1 May 2015 / Published online: 20 May 2015We consider a non-degenerate conic in PG(2,q2), q odd, that is tangent to ℓ∞ and look at its structure in the Bruck–Bose representation in PG(4,q). We determine which combinatorial properties of this set of points in PG(4,q) are needed to reconstruct the conic in PG(2,q2). That is, we define a set C in PG(4,q) with q2 points that satisfies certain combinatorial properties. We then show that if q≥7, we can use C to construct a regular spread S in the hyperplane at infinity of PG(4,q), and that C corresponds to a conic in the Desarguesian plane P(S)≅PG(2,q2) constructed via the Bruck–Bose correspondence.S. G. Barwick, Wen-Ai Jackso
Geometric constructions of optimal linear perfect hash families
No full textA linear (qd,q,t)-perfect hash family of size s in a vector space V of order qd over a field F of order q consists of a sequence 1,…,s of linear functions from V to F with the following property: for all t subsets XV there exists i{1,…,s} such that i is injective when restricted to F. A linear (qd,q,t)-perfect hash family of minimal size d(t−1) is said to be optimal. In this paper we use projective geometry techniques to completely determine the values of q for which optimal linear (q3,q,3)-perfect hash families exist and give constructions in these cases. We also give constructions of optimal linear (q2,q,5)-perfect hash families.S.G. Barwick, and Wen-Ai Jackso
A sequence approach to linear perfect hash families
No full textA linear (q d, q, t)-perfect hash family of size s in a vector space V of order q d over a field F of order q consists of a set S = {φ1, ⋯, φs} of linear functionals from V to F with the following property: for all t subsets X\subseteq V there exists φi ∈ S such that φi is injective when restricted to F. A linear (q d, q, t)-perfect hash family of minimal size d(t - 1) is said to be optimal. In this paper, we extend the theory for linear perfect hash families based on sequences developed by Blackburn and Wild. We develop techniques which we use to construct new optimal linear (q 2, q, 5)-perfect hash families and (q 4, q, 3)-perfect hash families. The sequence approach also explains a relationship between linear (q 3, q, 3)-perfect hash families and linear (q 2, q, 4)-perfect hash families. © 2007 Springer Science+Business Media, LLC.Susan G. Barwick and Wen-Ai Jackso
Sublines and subplanes of PG(2, q(3)) in the Bruck-Bose representation in PG(6, q)
No full textIn this article we look at the Bruck-Bose representation of PG(2,q 3) in PG(6,q). We look at sublines and subplanes of order q in PG(2,q 3) and describe their representation in PG(6,q). We then show how these results can be generalized to the Bruck-Bose representation of PG(2,q n) in PG(2n,q). © 2011 Elsevier Inc. All rights reserved.S.G. Barwick, Wen-Ai Jackso
Seeing the world anew : the radical vision of Martin Waldseemüller's 1507 & 1516 world maps /
No full text9781929154470 (ISBN). 192915447X (ISBN). First edition 2012. Accompanied by 2 foldeds map in front and back pockets: 1507 map -- 1516 map.; Includes bibliographical references: pages 98-107.; Maps from pockets also available online http://nla.gov.au/nla.map-vn6254227; Original version of the 1507 map: Universalis cosmographiae secundum Ptholomaei traditionem et Americi Vespucii alioru que lustrationes. [St. Dié, France? : s.n., 1507]; Original version of the 1516 map: Carta marina, navigatoria Portugallen, navigationes atque tocius cogniti orbis terre marisque formam naturamq[u]e situs et terminos nostris temporibus recognitos et ab antiquorum traditione differentes eciam quor[um] vetusti non meminerunt auctores hec generaliter indicat / consumatum est in oppido S. Deodati compositione et digestione Martini Waldseemuller Ilacomili. [St. Dié, France? : s.n., 1516]. Prologue: In a Renaissance Vision, a Glimpse of the Modern / John W. Hessler -- "An island surrounded on all sides by sea" : The World Map, 1507 / John W. Hessler -- "Land of Cuba, part of Asia" : The Carta marina, 1516 / Chet Van Duzer -- Epilogue: A Renaissance That Resonates Still / John W. Hessler -- Notes -- Afterword / Ralph E. Ehrenberg -- About the authors -- Acknowledgments -- The Maps: The 1507 World Map, 12 sheets, with commentary -- Composite: front pocket -- The 1516 Carta marina, 13 sheets, with commentary -- Composite: back pocket
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