7,829 research outputs found

    Visually building Smale flows in S3

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    A Smale flow is a structurally stable flow with one dimensional invariant sets. We use information from homology and template theory to construct, visualize and in some cases, classify, nonsingular Smale flows in the 3-sphere

    Combat Motivation and the Roots of Fanaticism: The 12th SS Panzer Division in Normandy

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    The post-First World War dispute between Sir Sam Hughes, Minister of Militia and Defence from October 1911 to November 1916 and Sir Arthur Currie, General Officer Commanding the Canadian Corps from 9 June 1917 to the end of the war, must be one of the least dignified episodes in Canadian military history. Hughes, although very energetic, was also erratic and arbitrary and was fired by Prime Minister Sir Robert Borden for his inefficient administration of the Canadian military forces overseas. Currie, on the other hand, led the Canadian Corps in a stunning series of successes: Hill 70, Passchendaele, Amiens, the Drocourt-Queant Line, the Canal du Nord, and the final entry into the Belgian town of Mons on the last day of the war. He has, indeed, been viewed by historians as one of the war’s most capable field commanders and, arguably, as Canada’s greatest native-born military commander

    Controlling Costs and Increasing Access to Prescription Drugs: State and Federal Solutions

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    Spending on health care in the United States continues to increase rapidly, consuming a greater share of the total economy each year. Over the past decade, prescription drug spending has been the fastest growing component of health care expenditures both nationwide and in Washington state. The federal government, state governments, individuals and employers all pay for prescription drugs, and everyone is affected by rising costs. While it is true that overall drug prices have gone up, and in many cases at more than triple the rate of inflation, price increases alone do not account for the drastic increase in spending on pharmaceuticals. The three biggest cost drivers, in order, are:1) the average person fills more prescriptions than ever before (increased utilization),2) new classes of drugs arrive on the market in high demand and at high prices, and3) pharmaceutical companies hike prices on existing drugs. Double-digit increases in total prescription drug costs create two interrelated problems. First, higher prices mean less access for uninsured individuals, and often a difficult choice for the poor: to treat or eat? Second, increased drug spending forces state governments to face a similar choice: to continue funding drug coverage for seniors, the disabled and others at escalating prices and pay for it by cutting teacher salaries, raising taxes, and underfunding firehouses, or to roll back drug benefits and eligibility for already vulnerable groups? While Congress has thus far failed to pass Medicare prescription drug or generic drug legislation, and the executive branch has taken a hands-off approach, the states have taken the lead in designing innovative policies to reduce manufacturer prices and expand access to necessary drugs. Legislation in Washington state, debated in 2002 and expected to be reintroduced in 2003, would allow the state to evaluate the benefits and costs of various and competing prescription drugs, negotiate price discounts for the best-value drugs, and pass the savings on to those who lack prescription drug coverage. Allowing the state to shop smarter is a sensible, near-term way for Washington to address the related problems of access and cost. Furthermore, an emerging consensus among states may drive more fundamental policy changes at the federal level

    Knots on a positive template have a bounded number of prime factors

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    Templates are branched 2-manifolds with semi-flows used to model `chaotic' hyperbolic invariant sets of flows on 3-manifolds. Knotted orbits on a template correspond to those in the original flow. Birman and Williams conjectured that for any given template the number of prime factors of the knots realized would be bounded. We prove a special case when the template is positive; the general case is now known to be false.Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-24.abs.htm
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