We then extend the notion of the metric geometric mean to positive semidefinite matrices by a continuity argument and investigate its algebraic properties, order properties and analytic properties. Moreover, we establish some equations and inequalities of metric geometric means for matrices ...
Existence and uniqueness for Mean Field Equations on multiply connected domains at the critical parameter We consider the mean field equation: 1 $$\\begin{aligned} \\left\\{ \\begin{array}{l@{\\quad }l} \\varDelta u+\\rho \\frac{e^u}{\\int _\\varOmega e^u }=0 ... D Barto...
In this direction, it was suggested that the binary interaction parameters could be estimated if intermolecular forces are properly accounted for. Consequently, since the parameterkijreflects a correction of the geometric mean rule for the cross-energy parameter, it can be calculated through a Hudson...
Existence of heteroclinic solution for a double well potential equation in an infinite cylinder of $mathbb{R}^N$ class of potentialsVthat includes the Ginzburg–Landau potentialV(t)=(t2-1)2{V(t)=(t^{2}-1)^{2}}and two geometric conditions on the functionA... CO Alves - 《Advanced...
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Such finite element methods also fall into the category of geometric methods that have had a considerable success recently. The right framework for this is the so-called finite element exterior calculus (FEEC) introduced by Arnold et al. (2006, 2010). For Maxwell's equations it is based on...
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Fundamental Equations for Sound Bytes QUANTITATIVE METHODS: SOUND BYTE 2 Effective Annual Rate:EAR = (1 + r )m - 1.0 Future Value:FV = PV (1 + r)n Present Value:n r)(1FV = FV/(1 + r)n = FV (1 + r)–n PV += Future Value of Ordinary Annuity:PMT ⎥⎦⎤...
Letter to the Editor: Inapplicability of the Logarithmic Regression Equation for the Factorial Calculation of Total Body Iron in Preschool Children BENJAMIN CABALLERO, NOEL W. SOLOMONS, AND BENJAMIN TORUN Division of Human Nutrition and Biology, Institute of Nutrition of Central America and Panama, ...
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