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Establishing the nonlinear coefficient for extremely lossy waveguides
Optics Letters, 2020The nonlinear coefficient γ is central to the study of cubically nonlinear optical guided-wave structures. It is well understood for lossless waveguides, but less so for lossy systems. A number of methods for calculating γ in lossy systems have been proposed, each resulting in different expressions.
Gordon Han Ying Li +2 more
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ON THE EXTREMAL DEPENDENCE COEFFICIENTS OF GAUSSIAN DISTRIBUTIONS
Vestnik NSUEM, 2021The paper considers a way to represent the relationship between indicators in the form of copulas. Copulas are popular mathematical tools. This is due to the fact that, on the one hand, the marginal distributions of indicators are divided in the copulas, and on the other hand, the structure of the relationship between these marginal distributions is ...
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Probability distributions of extreme pressure coefficients
Journal of Wind Engineering and Industrial Aerodynamics, 2003Abstract Several thousand extreme pressure coefficients from repeated time-history samples, from a wall tap and a roof tap on a model of the Texas Tech University Building in a simulated atmospheric boundary layer, were used to better determine the appropriate probability distributions for the data. Both the Type I (Gumbel) Extreme Value Distribution,
J.D. Holmes, L.S. Cochran
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Leading Coefficients and Extreme Points of Homogeneous Polynomials
Constructive Approximation, 1997Let \(F\) be an \(n\)-variate homogeneous polynomial of degree \(d\) with \(|F|:=\max\{|F(x)|:x\in S^{n-1}\}\). Recently, \textit{H. Hakopian} [Bull. Pol. Acad. Sci., Math. 42, No. 2, 129-132 (1994; Zbl 0841.26008)] completed the well-known van der Corput and Schaake inequality for bivariate homogeneous polynomials, \(|G|= d^2|F|^2\) with \(G=|\text ...
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Composites with extremal thermal expansion coefficients
Applied Physics Letters, 1996We design three-phase composites having maximum thermal expansion, zero thermal expansion, or negative thermal expansion using a numerical topology optimization method. It is shown that composites with effective negative thermal expansion can be obtained by mixing two phases of positive thermal expansions with a void phase.
O. Sigmund, S. Torquato
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Extreme Values of the Pressure Coefficient of Viscosity
Angewandte Chemie International Edition in English, 1965AbstractThe pressure coefficients of viscosity of hydrocarbons and ethers containing two to four phenyl groups linked either directly, via methylene bridges, or via CH(CH3) bridges, were studied with a view to elucidating the reason for the extreme viscosity‐pressure behavior of certain mineral oils. Measurements were made in the range of 1 to 2000 atm
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On the extremal dependence coefficient of multivariate distributions
Statistics & Probability Letters, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Investigations on coefficient of variation of extreme wind speed
Wind and Structures, 2014The uncertainty of extreme wind speeds is one key contributor to the uncertainty of wind loads and their effects on structures. The probability distribution of annual extreme wind speeds may be characterized using a classical Gumbel Type distribution.
Fuyou Xu, Chunsheng Cai, Zhe Zhang
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The activity coefficient at extremely low concentrations
Thermochimica Acta, 1994Abstract It is suggested that the activity coefficient of a component approaches unity only in the range of reasonably high dilutions; at extremely low concentration the activity coefficient approaches zero with dilution.
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ON EXTREME COEFFICIENTS OF THE JONES–KAUFFMAN POLYNOMIAL FOR VIRTUAL LINKS
Journal of Knot Theory and Its Ramifications, 2006An important problem of knot theory is to find or estimate the extreme coefficients of the Jones–Kauffman polynomial for (virtual) links with a given number of classical crossings. This problem has been studied by Morton and Bae [1] and Manchón [11] for the case of classical links. It turns out that the general case can be reduced to the case when the
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