92,844 research outputs found

    Mean Value from Representation of Rational Number as Sum of Two Egyptian Fractions

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    For given positive integers nn and aa, let R(n;a)R(n;\,a) denote the number of positive integer solutions (x,y)(x,\,y) of the Diophantine equation an=1x+1y. {a\over n}={1\over x}+{1\over y}. Write S(N;a)=nN(n,a)=1R(n;a). S(N;\,a)=\sum_{\substack{n\leq N (n,\,a)=1}}R(n;\,a). Recently Jingjing Huang and R. C. Vaughan proved that for 4N4\leq N and a2Na\leq 2N, there is an asymptotic formula S(N;a)=3π2apap1p+1N(log2N+c1(a)logN+c0(a))+Δ(N;a). S(N;\,a)={3\over \pi^2a}\prod_{p|a}{p-1\over p+1}\cdot N(\log^2N+c_1(a) \log N+c_0(a))+\Delta(N;\,a). In this paper, we shall get a more explicit expression with better error term for c0(a)c_0(a)

    Comment on "Critique and correction of the currently accepted solution of the infinite spherical well in quantum mechanics" by Huang Young-Sea and Thomann Hans-Rudolph

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    We comment on the paper "Critique and correction of the currently accepted solution of the infinite spherical well in quantum mechanics" by Huang Young-Sea and Thomann Hans-Rudolph, EPL 115, 60001 (2016) .Comment: 2 pages; Submitted to the Comments Section of EP

    2014-2015 Senior Recital - Heqing Huang (Piano)

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    El curso de PROSPECTIVA ESTRATEGICA brinda las herramientas para poder predecir y comprender el comportamiento futuro de las variables que afectan los procesos organizacionales.La prospectiva trata de ir adaptándose paulatinamente al cambio de los escenarios e ir creando ventajas competitivas con ciclos de vida predeterminado
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