6,776 research outputs found

    Period three actions on lens spaces

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    We show that a free period three action on a lens space is standard, i.e. the quotient is homeomorphic to a lens space. This is an extension of the result for period three actions on the three-sphere, arXiv:math.GT/0204077, by the author and J. Hyam Rubinstein.Comment: 67 pages, 54 picture

    When is a trigonometric polynomial not a trigonometric polynomial?

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    As an application of B\'ezout's theorem from algebraic geometry, we show that the standard notion of a trigonometric polynomial does not agree with a more naive, but reasonable notion of trigonometric polynomial.Comment: 3 page

    Carnivore: Will It Devour Your Privacy?

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    Perhaps you have written an e-mail that looks something like this

    Black Holes and Galactic Density Cusps Spherically Symmetric Anisotropic Cusps

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    Aims: In this paper we study density cusps that may contain central black holes. The actual co-eval self-similar growth would not distinguish between the central object and the surroundings. Methods: To study the environment of a growing black hole we seek descriptions of steady `cusps' that may contain a black hole and that retain at least a memory of self-similarity. We refer to the environment in brief as the `bulge' and on smaller scales, the `halo'. Results: We find simple descriptions of the simulations of collisionless matter by comparing predicted densities, velocity dispersions and distribution functions with the simulations. In some cases central point masses may be included by iteration. We emphasize that the co-eval self-similar growth allows an explanation of the black hole bulge mass correlation between approximately similar collisionless systems. Conclusions: We have derived our results from first principles assuming adiabatic self-similarity and either self-similar virialisation or normal steady virialisation. We conclude that distribution functions that retain a memory of self-similar evolution provide an understanding of collisionless systems. The implied energy relaxation of the collisionless matter is due to the time dependence. Phase mixing relaxation may be enhanced by clump-clump interactions.Comment: 9 pp, 3 figs, accepted by A\&

    How to Improve an Existing Training Program

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    Increasing the effectiveness of any training program is an ongoing undertaking that may require refinement year after year. The purpose of this MDS Capstone Project is to increase the effectiveness of our agent community, as well as our internal staff, when it comes to identifying missing information during the implementation process of a new group that is being on-boarded for health insurance. Missing information, errors, and inaccurate information can lead to delays when on-boarding a new group. These delays may also lead to increase workloads, increased cost through employee’s having to work overtime, and upset customers. Restructuring this training program, in order to create a new and innovative approach, involved input from many sources that helped to produce a flexible platform which can be augmented to suit the ever changing health insurance landscape. Our company will have a new training program that can be used for years to come. This training program is scalable to fit almost any audience, and can be adjusted easily for changes that impact the health insurance landscape year after year. Implementing a streamlined training will allow our organization to cut down on the time it takes to on-board a new group, while at the same time saving valuable resources and expense long the way

    Developing a generic tool for identifying community leaders: the ICL

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