1,278 research outputs found

    Brexit outcome unlikely to satisfy anyone

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    https://www.bu.edu/bostonia/2016/brexit-eu-referendum/Published versio

    Existence, positivity and stability for a nonlinear model of cellular proliferation

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    In this paper, we investigate a system of two nonlinear partial differential equations, arising from a model of cellular proliferation which describes the production of blood cells in the bone marrow. Due to cellular replication, the two partial differential equations exhibit a retardation of the maturation variable and a temporal delay depending on this maturity. We show that this model has a unique solution which is global under a classical Lipschitz condition. We also obtain the positivity of the solutions and the local and global stability of the trivial equilibrium

    Polynomial asymptotic stability of damped stochastic differential equations.

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    The paper studies the polynomial convergence of solutions of a scalar nonlinear Itˆo stochastic differential equation dX(t) = −f(X(t)) dt + (t) dB(t) where it is known, a priori, that limt!1 X(t) = 0, a.s. The intensity of the stochastic perturbation is a deterministic, continuous and square integrable function, which tends to zero more quickly than a polynomially decaying function. The function f obeys limx!0 sgn(x)f(x)/|x| = a, for some > 1, and a > 0. We study two asymptotic regimes: when tends to zero sufficiently quickly the polynomial decay rate of solutions is the same as for the deterministic equation (when 0). When decays more slowly, a weaker almost sure polynomial upper bound on the decay rate of solutions is established. Results which establish the necessity for to decay polynomially in order to guarantee the almost sure polynomial decay of solutions are also proven

    Lowering the Bar: The Effects of Misogyny in Rap Music

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    My senior capstone project will explore the reasons for the extreme prevalence of misogyny among African-American male rappers. More specifically, it will discuss the origins of rap, misogyny, and the insertion of the latter into the former; examples of common misogynistic themes in rap; and the effects of misogyny on society and individuals. Additionally, the paper will explore the comparison of misogyny in rap to misogyny in other genres and an evolving climate that respects black women. Also, this project includes an EP featuring songs uplifting black women and criticizing misogynoir among their male counterparts. While the paper will align with the second MPA Major Learning Outcome, Community Issues Analysis, and the fourth, Moral and Ethical Analysis; the creative project will engage the fifth outcome, Performance Skills. Also, the research will not only draw on journal articles such as those featured in the databases of George Washington University and Howard University but also interviews with notable figures in the genre and the music itself. Otherwise, the capstone project will determine that a lack of accountability among black men and society’s negative attitude towards their female counterparts contribute to the prevalence of misogyny among rappers

    Enforcement of State Annexed-Arbitration Rules in Federal Courts with Diversity Jurisdiction: Towey v. Catling

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    Both state and federal court systems are swamped with litigants. This fact is so widely recognized, repeating it almost seems unnecessary. Courts experiment with a variety of approaches just to pump some of this litigious bilge into alternative forums for resolution. The state of Hawaii sought to lighten its overburdened docket with a Court Annexed Arbitration Program.2 It provides for mandatory submission of certain tort claims to arbitration.\u27 It is non-binding and either party may obtain a trial de novo at its conclusion.4 However, to do so is not without risk. Pursuit of a trial de novo gambles not only with the possibility of a less favorable outcome, but also with payment of the opponent\u27s attorney\u27s fees should one fail to improve upon the arbitrators judgment by at least 15%. 5 Disincentives such as this potential penalty are a common and integral element of an effective mandatory arbitration program.6 Without penalties there exists little, if any, reason for a dissatisfied party not to take a second bite at the apple
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