588 research outputs found
What I know about my ancestors, and their families : also, some account of my wife's ancestors, and their families /
No full textIncludes index."This book is donated by Dr. Victor J. Andrew, great grandson of the author, who copied it from the original manuscript which is in the possession of Mr. Morton O. Perkins, grandson of the author, and who still lives on the author's farm."Reprint of: What I know about my ancestors, and their families : also some account of my wife's ancestors, and their families / Edward Perkins. Weymouth, Ohio : Perkins, 1888.Mode of access: Internet
On the Distribution of Atkin and Elkies Primes
No full textGiven an elliptic curve E over a finite field F[subscript q] of q elements, we say that an odd prime ℓ∤q is an Elkies prime for E if t[superscript 2][subscript E]−4q is a square modulo ℓ, where t[subscript E]=q+1−#E(F[subscript q]) and #E(F[subscript q]) is the number of F[subscript q]-rational points on E; otherwise, ℓ is called an Atkin prime. We show that there are asymptotically the same number of Atkin and Elkies primes ℓ0 and a sufficiently large q. We use this result to design and analyze a fast algorithm to generate random elliptic curves with #E(F[subscript p]) prime, where p varies uniformly over primes in a given interval [x,2x]
Hyperelliptic Curves, L-Polynomials, and Random Matrices
No full textWe analyze the distribution of unitarized L-polynomials Lp(T)
(as p varies) obtained from a hyperelliptic curve of genus g [less than or equal to] 3 defined over Q. In the generic case, we find experimental agreement with a predicted correspondence
(based on the Katz-Sarnak random matrix model) between the
distributions of Lp(T) and of characteristic polynomials of random matrices
in the compact Lie group USp(2g). We then formulate an analogue of the
Sato-Tate conjecture for curves of genus 2, in which the generic distribution is
augmented by 22 exceptional distributions, each corresponding to a compact
subgroup of USp(4). In every case, we exhibit a curve closely matching the
proposed distribution, and can find no curves unaccounted for by our classification.National Science Foundation (U.S.) (NSF CAREER grant DMS-0545904)Alfred P. Sloan Foundation (Sloan Fellowship
Cerebellum’s role in dual tasking with automaticity of movements
No full textPeople perform dual task performances involving cognitive and motor processes. For example, a skilled typist can type while holding a conversation. The cerebellum plays a key role in allowing individuals to perform these kinds of tasks simultaneously. In the performance of these dual tasks, motor movements are “automatic” or trivial to many individuals and thus, do not require explicit attention. Damage to this brain region may impair the performance of automatic motor tasks. Through neuroimaging, researchers were able to show the importance and involvement of the cerebellum in automation during the performance of two concurrent tasks. However, the specific role of the cerebellum in cognition and true mechanism of automation remains a challenge for future investigations.M.S.Includes bibliographical referencesby Victor La
Sato–Tate distributions and Galois endomorphism modules in genus 2
No full textFor an abelian surface A over a number field k, we study the limiting distribution of the normalized Euler factors of the L-function of A. This distribution is expected to correspond to taking characteristic polynomials of a uniform random matrix in some closed subgroup of USp(4); this Sato–Tate group may be obtained from the Galois action on any Tate module of A. We show that the Sato–Tate group is limited to a particular list of 55 groups up to conjugacy. We then classify A according to the Galois module structure on the ℝ-algebra generated by endomorphisms of [superscript A][line over Q] (the Galois type), and establish a matching with the classification of Sato–Tate groups; this shows that there are at most 52 groups up to conjugacy which occur as Sato–Tate groups for suitable A and k, of which 34 can occur for k=ℚ. Finally, we present examples of Jacobians of hyperelliptic curves exhibiting each Galois type (over ℚ whenever possible), and observe numerical agreement with the expected Sato–Tate distribution by comparing moment statistics.National Science Foundation (U.S.) (CAREER Grant DMS-0545904)National Science Foundation (U.S.) (Grant DMS-1101343)United States. Defense Advanced Research Projects Agency (Grant HR0011-09-1-0048)NEC Research Support FundIda M. Green FellowshipUniversity of California, San Diego (Warschawski Professorship)National Science Foundation (U.S.) (Grant DMS-1115455
Letter from [John Victor Carson], Dominguez Estate Company to Selective Service Board 227, May 18, 1945
No full textCarson asks for the Selective Service Board 227 to consider Mr. Andrew Blua's responsibilities in managing 120 acres of farm land when "examining" his status for military service
Art, Biography, Sexuality: Patrick Procktor and Keith Vaughan
No full textThis critical review forms a reflection on the research published within the following publications:
Patrick Procktor: Art and Life (Unicorn Press, 2010)
Keith Vaughan: The Mature Oils 1946-1977, (Sansom & Co., 2012)
The research is on two artists, Patrick Procktor (1936-2003), and Keith Vaughan (1912-1977). The monograph on Procktor – previously one of the least documented of the generation of artists who came to prominence in London in the Sixties – positions him in a history of art from which he had been notably absent. The research on Vaughan asserts a new reading of his work, one that is both deeper and more nuanced in its analysis of the ways in which personal experience and sexuality are encoded autobiographically within his work. Crucially, in both artists biography and work are symbiotically linked; the research therefore examines the links between life and art.
Revisionary in intent, the work examines trajectories of experience of gay British (or rather, English) artists in the twentieth century, artists who sought to express themselves and forge careers within the constraints of a heteronormative society, albeit one in which attitudes to sexuality were undergoing change. As gay men, both were constrained by the social mores of their times, and each used painting as a means to affirm personal and sexual identities. A key research interest is in the ways in which sexuality and persona are reflected in critical responses to the artist’s work: in Vaughan, Procktor and other gay male artists of the period. The writing on both Procktor and Vaughan examines the relationship between their personal and professional/artistic lives, framed within a broader socio-political and art historical context. It asserts the place of biography as a means to understand and form new readings of the work. The work adds substantially to the literature and wider discourse on post-war British painting and social history
Corrigendum: A Severe Lack of Evidence Limits Effective Conservation of the World's Primates
No full textIn the originally published version of this article, the author's name, Kathy Slater, was incorrectly spelt in the author list and within the “Author Biographical” section. This has now been corrected online.Additional co-authors: Fabiano R de MELO, P Fan, Cyril C Grueter, Diana C Guzmán-Caro, Eckhard W Heymann, Ilka Herbinger, Minh D Hoang, Robert H Horwich, Tatyana Humle, Rachel A Ikemeh, Inaoyom S Imong, Leandro Jerusalinsky, Steig E Johnson, Peter M Kappeler, Maria Cecília M Kierulff, Inza Koné, Rebecca Kormos, Khac Q LE, Baoguo Li, Andrew J Marshall, Erik Meijaard, Russel A Mittermeier, Yasuyuki Muroyama, Eleonora Neugebauer, Lisa Orth, Erwin Palacios, Sarah K Papworth, Andrew J Plumptre, Ben M Rawson, Johannes Refisch, Jonah Ratsimbazafy, Christian Roos, Joanna M Setchell, Rebecca K Smith, Tene Sop, Christoph Schwitzer, Kathy Slater, Shirley C Strum, William J Sutherland, Maurício Talebi, Janette Wallis, Serge Wich, Roman M Wittig, Hjalmar S Küh
1967 Liberal Arts Ground Breaking Ceremonies
No full textFrom L2R Front Row Kneeling: Roger Sutherland (Biology Instructor), William Ryan (Geology Instructor), Dr Eric Bradner (College President). Standing: Anthony Rizzo (Geography Instructor), Robert Stenger (English Instructor), Carolyn Dodge (English Intructor), John Bedford (Geology Instructor), Unknown, L. Dell Reed, Victor Dodge, Claren Jones (Chemistry Intructor), Angelo Chinni (Philosophy Instructor), Andrew Watson (Chemistry Instructor), Ceclia Kelly (Art Instructor), Unknown, Peter Attalai (German-Spanish Instructor), Harold Fischer (Board of Trustee, with the shovel), Fred Stefanski (Director of Evening College), Gordon Snyder (Biology Instructor), Unknown, Claude Sweet (Business Instructor), Bryce Lockwood (Physics Instructor), Unknown, Unknown, Phobe Woltz (Business Instructor), John Wilson (History Instructor), Marion Ochs (Business Instructor), Harold Fortney(History Instructor), Albert Agosti (Sociology Instructor
Sato-Tate distributions of twists of the Fermat and the Klein quartics
No full text33 pages, comments welcomeInternational audienceWe determine the limiting distribution of the normalized Euler factors of an abelian threefold A defined over a number field k when A is geometrically isogenous to the cube of a CM elliptic curve defined over k. As an application, we classify the Sato-Tate distributions of the Jacobians of twists of the Fermat and Klein quartics, obtaining 54 and 23, respectively, and 60 in total. We encounter a new phenomenon not visible in dimensions 1 or 2: the limiting distribution of the normalized Euler factors is not determined by the limiting distributions of their coefficients
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