422,771 research outputs found

    On the Adams Spectral Sequence for R-modules

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    We discuss the Adams Spectral Sequence for R-modules based on commutative localized regular quotient ring spectra over a commutative S-algebra R in the sense of Elmendorf, Kriz, Mandell, May and Strickland. The formulation of this spectral sequence is similar to the classical case and the calculation of its E_2-term involves the cohomology of certain `brave new Hopf algebroids' E^R_*E. In working out the details we resurrect Adams' original approach to Universal Coefficient Spectral Sequences for modules over an R ring spectrum. We show that the Adams Spectral Sequence for S_R based on a commutative localized regular quotient R ring spectrum E=R/I[X^{-1}] converges to the homotopy of the E-nilpotent completion pi_*hat{L}^R_ES_R=R_*[X^{-1}]^hat_{I_*}. We also show that when the generating regular sequence of I_* is finite, hatL^R_ES_R is equivalent to L^R_ES_R, the Bousfield localization of S_R with respect to E-theory. The spectral sequence here collapses at its E_2-term but it does not have a vanishing line because of the presence of polynomial generators of positive cohomological degree. Thus only one of Bousfield's two standard convergence criteria applies here even though we have this equivalence. The details involve the construction of an I-adic tower R/I <-- R/I^2 <-- ... <-- R/I^s <-- R/I^{s+1} <-- ... whose homotopy limit is hatL^R_ES_R. We describe some examples for the motivating case R=MU.Comment: Published 7 April 2001 by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-9.abs.html . Erratum added 9 May 200

    The English Bugaboo - Cruikshank to Talbot

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    This post examines some aspects of the British diachronic illustrative tradition in connection with Talbot's Alice in Sunderland (2007). In this post, James Baker argues how what binds together the bugaboos of Talbot, Tenniel and the Georgian satirists is..

    Level 1 and 2 attainment in English and mathematics by 16 to 18 students

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    From QCD to Dual Superconductivity to Effective String Theory

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    We show how an effective field theory of long distance QCD, describing a dual superconductor, can be expressed as an effective string theory of superconducting vortices. We use the semiclassical expansion of this effective string theory about a classical rotating string solution in any spacetime dimension D to obtain the semiclassical meson energy spectrum. We argue that the experimental data on Regge trajectories along with numerical simulations of the heavy quark potentials provide good evidence for an effective string description of long distance QCD.Comment: Talk given at the 5th International Conference on Quark Confinement and the Hadron Spectrum, Gargnano, Italy, September 200

    The Problem with Structural Unemployment in the U.S.

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    Following the most recent recession, an attempt has been made to explain current levels of unemployment as resulting from structural unemployment, or a mismatch between the skills of the unemployed and the types of jobs available. The evidence, however, indicates that the issue is actually a lack of aggregate demand. Since accepting one of these views over the other will lead to very different policy solutions, it is important to accurately assess the cause of unemployment.This issue brief finds that the evidence is overwhelming consistent with the view that a lack of demand, caused by the collapse of the housing bubble is at the root of U.S. unemployment. In this context, measures that focus on improving skills - a remedy for structural unemployment - will have little effect on overall employment

    CBO Projects More Severe Downturn

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    The new economic projections from the Congressional Budget Office show the economy remaining well below its potential level of output until 2014. The projections show the unemployment rate averaging 10.2 percent in 2010 and gradually edging down to the long-term sustainable rate of 4.8 percent by 2014. Over this 4 year period, the workforce will face a substantially higher risk of unemployment or underemployment due to insufficient demand in the economy. This paper highlights some of the main implications of CBO's new economic projections

    Increasing Inequality in the United States

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    This report traces the increase in U.S. inequality over the last quarter-century. It outlines the myriad drivers of this trend, including deliberate policy decisions on trade, immigration, interest rates, and health care costs. The paper was published and distributed in Germany through the Friedrich Ebert Foundation (IB200611A)

    What Is Safe Sex ? Understanding the Need for Sex Education Reform

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    Currently, the United States has no standardized requirement for sex education. This has precipitated a large gap in knowledge about safe sex and a lack of consensus in current social and educational policy. Debates about abstinence-only and comprehensive sex education have reached a standstill. In an effort to advance the discussion, this paper reveals that the neuroscience behind adolescent sexual risk taking provides underutilized evidence for comprehensive sex education programs. Research shows that adolescents have biological differences in their brain structure that result in a decision-making process different from that of adults, one that can preference rash decisions and potentially unsafe behavior. Therefore, current approaches to social and education policy for teens should change, to reflect this research and in-school curricula should evolve to more effectively reduce rates of unsafe sexual behaviors. Funding for such programs would more than pay for themselves with the resulting decrease in teen pregnancy and sexually transmitted diseases

    Hong Kong Employment Law Update - November 2016

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    The employment law landscape has been relatively flat over the last 6 months, with few material changes to employment legislation or landmark cases, aside from the appeal decision in Tadjudin Sunny v Bank of America. This newsletter brings you some recent legislative developments and case law highlights
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