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...
Equations for the mean residence time (MRT) of drug in the body and related functions are derived for drugs which are intravenously administered into a one- or two-compartment system with Michaelis-Menten elimination. This MRT is a function of the steady-state volume of distribution and time-av...
Consideration is given to the forcing function component of Poisson's equation for the mean or fluctuating pressure on a constant density turbulent flow. It is shown that this component may be divided into two parts, corresponding to the first invariant of the rate of strain field (the sum of...
H,P}-classes or simplyEHP-classes, with theEsymbol standing for the taking ofelementary substructures,Hforhomomorphic imagesandPfordirect products. Anelementary class(orfirst order class) is one defined by a collection of first order formulae: the quantifiers refer to elements of algebras, hence ...
agowning requirements 穿礼服要求[translate] awhere r– and n – are the mean values of r and n,respectively. Equation 3 yields expressions for 那里r-和n -分别为r和n的平均值。 式3出产量表示为[translate]
The model allows for the estimation of the mean, variance, and covariance of the outcome variable, which is not possible in the GLM. The estimation procedure is based on the quasi-likelihoodestimation method, which provides consistent estimates even when the working correlation matrix is ...
If we assume that 428 mg of this iron content was in the circulating pool (see Appendix), then 468 mg of storage iron would have been present, representing 33 mg/ kg. Data for liver iron content for preschool children pooled from seven sources (10) allows the calculation of a mean ...
aThe dependent variable for the market value equation, Tobin’s q , reflects large differences in firm performance. The mean value is 1.43, i.e., the market values of companies exceed the book values. Yet, this is not true for all observations since a substantial[translate]...
First, at homogeneous limit the local density becomes a constant, and then DFT naturally gives rise to the EOS inHelmholtztype (Chapman et al., 1989; Lemmon andJacobsen, 2005). Second, EOS can be developed with the knowledge of local structure throughVirial equation. Specifically, for the flu...
If God cannot be broken down into a mathematical equation, does that mean there is no God? 如果上帝不能被分解成一个数学方程,这是否意味着不存在上帝吗? bbs.hifidiy.net 3. Simplify the form of a mathematical equation of expression by substituting one term for another . 通过用一种形式代替另...