12,459 research outputs found

    Sharpness of Wilker and Huygens type inequalities

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    We present an elementary proof of Wilker's inequality involving trigonometric functions, and establish sharp Wilker and Huygens type inequalities. Mathematics Subject Classification 2010: 26D05.published_or_final_versio

    Sharp Cusa and Becker-Stark inequalities

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    We determine the best possible constants θ,ϑ,α and β such that the inequalities ((2+cosx)/3)^θ < sinx/x < ((2+cosx)/3)^ϑ and ((π^2)/(π^2-4×^2))^α < tan×/× < ((π^2)/(π^2-4×^2))^β are valid for 0 < × < π/2. Our results sharpen inequalities presented by Cusa, Becker and Stark.published_or_final_versio

    On Lyapunov-type inequalities for two-dimensional nonlinear partial systems

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    We establish a new Laypunov-type inequality for two nonlinear systems of partial differential equations and the discrete analogue is also established. As application, boundness of the two-dimensional Emden-Fowler-type equation is proved. Copyright © 2010 Lian-Ying Chen et al.published_or_final_versio

    Polar Duals of Convex and Star Bodies

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    The impact of green buildings accreditation on construction and demolition waste minimization: A study of Hong Kong Building Environment Assessment Method using big data.

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    Workshop 8: WS8.12Construction and demolition (C&D) waste often constitutes a prodigious portion of the total municipal solid waste in contributing to the environment degradation. C&D waste minimization, which is a sustainable activity for both environment and material resources, serves as an indispensible element of green building assessment systems worldwide. How green building accreditation impacts on C&D waste minimization is a valid and important research question for green building award applicants, policy-makers and other stakeholders, which was seldom studied using a quantitative approach. Therefore, this paper aims to quantify the waste minimization which existing green building assessment system can be used to achieve by analyzing a big dataset of C&D waste management recorded in 2011, 2012, 2013, 2014 and 2015 in Hong Kong. The waste generation rates are compared between buildings awarded with and without Hong Kong Building Environment Assessment Method (HK-BEAM) prizes to illustrate the impact of HK-BEAM on C&D waste minimization. The research findings will not only present accurately quantified effect on CWM led by green building accreditation, but also provide stakeholders with a reference for making strategies and policies on C&D waste management and green building.preprin

    Does prohibitin expression regulate sperm mitochondrial membrane potential, sperm motility, and male fertility?

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    Prohibitin (PHB) is a highly conserved major sperm mitochondrial membrane protein whose absence in somatic cells is associated with mitochondrial membrane depolarization and increased generation of reactive oxygen species (ROS). Our recent findings suggest that high levels of oxidants in human semen may contribute to male infertility and that sperm motility could be the earliest and most sensitive indicator of oxidative damage. Based on PHB's roles in mitochondrial sub-compartmentalization and respiratory chain assembly, we examine sperm PHB expression and mitochondrial membrane potential (MITO) in infertile men with poor sperm motility (asthenospermia, A) and/or low sperm concentrations (oligoasthenospermia, OA). Here, we demonstrate that MITO is significantly lower in sperm from A and OA subjects than in normospermic (N) subjects; the decrease is more severe for OA than for A subjects. PHB expression is also significantly lower in sperm from A and OA subjects. Significantly positive correlations are found among PHB expression, MITO, and sperm motility in normospermic, asthenospermic, and oligoasthenospermic subjects. Collectively, our observations lead to the hypothesis that PHB expression is an indicator of sperm quality in infertile men, and that it regulates sperm motility via an alteration in MITO and increased ROS levels. © Copyright 2012, Mary Ann Liebert, Inc.published_or_final_versio

    General analysis of signals with two leptons and missing energy at the Large Hadron Collider

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    A signal of two leptons and missing energy is challenging to analyze at the Large Hadron Collider (LHC) since it offers only few kinematical handles. This signature generally arises from pair production of heavy charged particles which each decay into a lepton and a weakly interacting stable particle. Here this class of processes is analyzed with minimal model assumptions by considering all possible combinations of spin 0, 1/2 or 1, and of weak iso-singlets, -doublets or -triplets for the new particles. Adding to existing work on mass and spin measurements, two new variables for spin determination and an asymmetry for the determination of the couplings of the new particles are introduced. It is shown that these observables allow one to independently determine the spin and the couplings of the new particles, except for a few cases that turn out to be indistinguishable at the LHC. These findings are corroborated by results of an alternative analysis strategy based on an automated likelihood test.Comment: 18 pages, 3 figures, LaTe
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