120,431 research outputs found

    Chapter 1.1 Methodology of Synthesis

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    sorption materials water remediation materials for environmental remediation heavy metal removal sorption of radionuclide

    Business and Marketing Plan for XXXX Engineering

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    XXXX Engineer is a proposed Veteran Owned Electrical Engineering Firm that specializes in Aviation Lighting Design. Aviation Lighting Design includes runway lighting, taxiway lighting, guidance signs, approach lighting system and siting of Navigational Aids (NAVAIDS). The owner of XXXX Engineer will be Steve Smith, PE. Mr. Smith has over 15 years of experience in the Aviation Lighting design. Mr. Smith is a Veteran of the United States Navy. XXXX Engineering will employ an additional engineer and one design detailer. The proposed staff has over 15 years experiences in this field. XXXX Engineering will be located in Overland Park Kansas. XXXX Engineer will provide electrical design services for all areas of aviation lighting. XXXX Engineering will strive to be the recognized leader in Aviation Lighting Field. XXXX Engineer will provide a vital service to Civil Engineering Firms and General Aviation Airports. With our small business status, XXXX Engineering will be able to assist Engineer Firms in making their goals for small business participation. XXXX Engineering will provide individual airports an avenue to maintain their lighting system. The business plan for XXXX Engineering will demonstrate a strong market in the aviation industries with expected growth each year. But over the past eighteen months, the changes in the economy have created a situation where the anticipated funds for (federal) fiscal year have not been appropriated. Even though XXXX Engineering would provide a needed service as a Veteran Owned Business to many engineering firms with federal contracts, until the funding issues are resolved with the FAA, it would not practical to start a business at this time. Currently the FAA has a continuing resolution is in place as an interim measures to fund existing grant. Along with the impact of the economy on the federal government, local and state governments are having budget issue that will affect future project. In recent week the Kansas Department of Transportation and the Missouri Department of Transportation has cut funding due to a budget short fall

    Dude, Not One Dud!

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    Xxxx, X xxxx xxx I tell actor Lancaster that I\u27m ready for a massage Xxxxxx xx Xxxxx\u27x xxxxx xxx? I muse: has George Bush\u27s chief of staff been discharged

    Global rough solutions to the cubic nonlinear Boussinesq equation

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    We prove that the initial value problem (IVP) for the cubic defocusing nonlinear Boussinesq equation uttuxx+uxxxx(u2u)xx=0u_{tt}-u_{xx}+u_{xxxx}-(|u|^2u)_{xx}=0 on the real line is globally well-posed in Hs(R)H^{s}(\R) provided 2/3<s<12/3<s<1.Comment: 21 pages, to appear, Journal of the London Mathematical Society. Many suggestions of the referee implemente

    Instability and stability properties of traveling waves for the double dispersion equation

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    In this article we are concerned with the instability and stability properties of traveling wave solutions of the double dispersion equation  uttuxx+auxxxxbuxxtt=(up1u)xx ~u_{tt} -u_{xx}+a u_{xxxx}-bu_{xxtt} = - (|u|^{p-1}u)_{xx}~ for  p>1~p>1,  ab>0~a\geq b>0. The main characteristic of this equation is the existence of two sources of dispersion, characterized by the terms uxxxxu_{xxxx} and uxxttu_{xxtt}. We obtain an explicit condition in terms of aa, bb and pp on wave velocities ensuring that traveling wave solutions of the double dispersion equation are strongly unstable by blow up. In the special case of the Boussinesq equation (b=0b=0), our condition reduces to the one given in the literature. For the double dispersion equation, we also investigate orbital stability of traveling waves by considering the convexity of a scalar function. We provide both analytical and numerical results on the variation of the stability region of wave velocities with aa, bb and pp and then state explicitly the conditions under which the traveling waves are orbitally stable.Comment: 16 pages, 4 figure

    Instability and stability properties of traveling waves for the double dispersion equation

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    In this article we are concerned with the instability and stability properties of traveling wave solutions of the double dispersion equation  uttuxx+auxxxxbuxxtt=(up1u)xx ~u_{tt} -u_{xx}+a u_{xxxx}-bu_{xxtt} = - (|u|^{p-1}u)_{xx}~ for  p>1~p>1,  ab>0~a\geq b>0. The main characteristic of this equation is the existence of two sources of dispersion, characterized by the terms uxxxxu_{xxxx} and uxxttu_{xxtt}. We obtain an explicit condition in terms of aa, bb and pp on wave velocities ensuring that traveling wave solutions of the double dispersion equation are strongly unstable by blow up. In the special case of the Boussinesq equation (b=0b=0), our condition reduces to the one given in the literature. For the double dispersion equation, we also investigate orbital stability of traveling waves by considering the convexity of a scalar function. We provide both analytical and numerical results on the variation of the stability region of wave velocities with aa, bb and pp and then state explicitly the conditions under which the traveling waves are orbitally stable.Comment: 16 pages, 4 figure

    The CMA Evolution Strategy: A Tutorial

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    This tutorial introduces the CMA Evolution Strategy (ES), where CMA stands for Covariance Matrix Adaptation. The CMA-ES is a stochastic, or randomized, method for real-parameter (continuous domain) optimization of non-linear, non-convex functions. We try to motivate and derive the algorithm from intuitive concepts and from requirements of non-linear, non-convex search in continuous domain.Comment: ArXiv e-prints, arXiv:1604.xxxx
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