74,697 research outputs found

    Una generalización de la función aritmética g(n)=∏_(j=1)^n(j,n) y algunas de sus aplicaciones

    No full text
    Para una función aritmética h(x), consideramos la función g(n;h)=∏_(j=1)^n h((j,n)), donde (j,n) es el máximo común divisor de j y n. Damos evaluaciones en términos de potencias de primos, series de Dirichlet, y comportamientos asintóticos para g(n;h). La serie de Dirichlet da lugar a varias identidades donde participa la función zeta de Riemann. Además, se discuten algunos comportamientos asintóticos para el caso especial g(n)=g(n;e) donde e(x)=x. Finalmente mencionamos algunas aplicaciones relacionadas con esta función, por ejemplo, mostrar que para un entero positivo n, el número de soluciones distintas módulo n de la congruencia x^(n-1)≡1(mod n) está dado por la fórmula ∏_(p|n)(p-1,n-1). Otra aplicación se presenta en el estudio de puntos reticulares sobre rectas en el plano: dados dos puntos en el plano P(a,b) y Q(c,d), el número de puntos reticulares sobre el segmento (PQ) ̅ esta dado por (a-c,b-d )+1. / Abstract. For a given arithmetic function h(x), we consider the function g(n;h)=∏_(j=1)^n h((j,n)), where (j,n) is the greatest common divisor of j and n. Evaluations in terms of prime powers, Dirichlet series, and asymptotic formulae involving g(n;h) are given. The Dirichlet series leads to several identities involving the Riemann Zeta function. Also, some asymptotic formulae for the special case g(n)=g(n;e) where e(x)=x are discussed. Finally, some applications related to these functions are discussed: for example, given a positive integer n, the number of distinct solutions modulo n of the congruence x^(n-1)≡1(mod n) is given by the formula ∏_(p|n)(p-1,n-1). Another application arises in the study of lattice points on lines in the plane: given two integer lattice points P(a,b) and Q(c,d), the number of lattice points on the segment (PQ) ̅ is given by (a-c,b-d)+1.Maestrí

    Alienación y realidad en Rojas Zorrilla

    No full text
    Rodríguez-Puértolas J. Alienación y realidad en Rojas Zorrilla. In: Bulletin Hispanique, tome 69, n°3-4, 1967. pp. 325-346

    Solar Power in the Garden State

    No full text
    This special issue on energy and solar power in New Jersey was made possible because of the extensive portfolio of research centers and institutes at the Edward J. Bloustein School of Planning and Public Policy. Dr. Frank A. Felder, an Associate Research Professor, has been director of the School’s Center for Energy, Economic & Environmental Policy (CEEEP) since 2006. Frank is a nuclear engineer with a PhD degree from MIT, and he, along with his CEEEP colleague, Shankar N. Chandramowli, coauthored the main article in this issue of the Advance & Rutgers Report. CEEEP has worked extensively with the New Jersey Board of Public Utilities on projects, including New Jersey’s current Energy Master Plan.Shining Brightly: Bloustein's Centers of Excellence / by James W. Hughes and Joseph S. Seneca -- Solar Power in the Garden States / by Shankar N. Chandramowli and Frank A. Felder.Guest contributors include Shankar N. Chandramowli and Frank A. Felder, PhD, Director—Center for Energy, Economic and Environmental Policy at the Edward J. Bloustein School of Planning and Public PolicyReports published as Issue Paper Number 5, May 2011, in Advance & Rutgers Report, Special Issue

    José J. Rojas Garcidueñas, El Teatro de Nueva España en el Siglo XVI.

    No full text
    Ricard Robert. José J. Rojas Garcidueñas, El Teatro de Nueva España en el Siglo XVI.. In: Bulletin Hispanique, tome 40, n°3, 1938. pp. 320-321

    Evidence for the decay B0→J/ψω and measurement of the relative branching fractions of meson decays to J/ψη and J/ψη′

    No full text
    First evidence of the B 0 → J / ψ ω decay is found and the B s 0 → J / ψ η and B s 0 → J / ψ η ′ decays are studied using a dataset corresponding to an integrated luminosity of 1.0 fb -1 collected by the LHCb experiment in proton-proton collisions at a centre-of-mass energy of sqrt(s) = 7 TeV. The branching fractions of these decays are measured relative to that of the B 0 → J / ψ ρ 0 decay:frac(B (B 0 → J / ψ ω), B (B 0 → J / ψ ρ 0)) = 0.89 ± 0.19 (stat) - 0.13 + 0.07 (syst),frac(B (B s 0 → J / ψ η), B (B 0 → J / ψ ρ 0)) = 14.0 ± 1.2 (stat) - 1.5 + 1.1 (syst) - 1.0 + 1.1 (frac(f d, f s)),frac(B (B s 0 → J / ψ η ′), B (B 0 → J / ψ ρ 0)) = 12.7 ± 1.1 (stat) - 1.3 + 0.5 (syst) - 0.9 + 1.0 (frac(f d, f s)), where the last uncertainty is due to the knowledge of f d / f s, the ratio of b-quark hadronization factors that accounts for the different production rate of B 0 and B s 0 mesons. The ratio of the branching fractions of B s 0 → J / ψ η ′ and B s 0 → J / ψ η decays is measured to befrac(B (B s 0 → J / ψ η ′), B (B s 0 → J / ψ η)) = 0.90 ± 0.09 (stat) - 0.02 + 0.06 (syst)

    Harvey J. Kaye, The Education of Desire. Marxists and the Writing of History

    No full text
    Aguirre Rojas Carlos Antonio. Harvey J. Kaye, The Education of Desire. Marxists and the Writing of History. In: Annales. Histoire, Sciences Sociales. 53ᵉ année, N. 2, 1998. pp. 440-443

    Harvey J. Kaye, The Education of Desire. Marxists and the Writing of History

    No full text
    Aguirre Rojas Carlos Antonio. Harvey J. Kaye, The Education of Desire. Marxists and the Writing of History. In: Annales. Histoire, Sciences Sociales. 53ᵉ année, N. 2, 1998. pp. 440-443

    Stephen Gilman, The Spain of Fernando de Rojas. The intellectual and social landscape of « La Celestina »

    No full text
    Rodríguez-Puértolas J. Stephen Gilman, The Spain of Fernando de Rojas. The intellectual and social landscape of « La Celestina ». In: Bulletin Hispanique, tome 76, n°1-2, 1974. pp. 192-202

    Stephen Gilman, The Spain of Fernando de Rojas. The intellectual and social landscape of « La Celestina »

    No full text
    Rodríguez-Puértolas J. Stephen Gilman, The Spain of Fernando de Rojas. The intellectual and social landscape of « La Celestina ». In: Bulletin Hispanique, tome 76, n°1-2, 1974. pp. 192-202

    The vanishing author in computer-generated works: a critical analysis of recent Australian case law

    No full text
    Abstract The use of software is ubiquitous in the creation of many copyright works, yet the requirement in copyright law that every work have a human author who engages in independent intellectual effort means that its use may prevent copyright subsistence. Several recent Australian cases have refocused attention on authorship as an essential criterion of copyright subsistence, and these cases suggest that much computer-produced output may be authorless and thus lack copyright protection. This article, the first in a two-part series, analyses how each case deals with the question of authorship of computer-produced works and why the use of software diminishes copyright protection for a significant number of computer-generated works. The article critiques the application of conventional notions of human authorship developed in the pre-computer age to modern productions and suggests alternative approaches to authorship that satisfy both the major objectives of copyright policy and the need to adapt to the computer age. The article argues that, without a broader judicial approach to authorship of computer-generated works, Parliament must remedy the lacuna in protection for these ‘authorless’ works. Possible solutions for reform are suggested. In a forthcoming article, the author comprehensively examines those reform proposals
    corecore