Equilibria in load balancing games

A Nash equilibrium （NE） in a multi-agent game is a strategy profile that is resilient to unilateral deviations. A strong Nash equilibrium （SE） is one that is stable against coordinated deviations of any coalition. We show that, in the load balancing games, NEs approximate SEs in the sense that the benefit of each member of any coalition from coordinated deviations is well limited. Furthermore, we show that an easily recognizable special subset of NEs exhibit even better approximation of SEs.     

Magnetic properties and magnetocaloric effect in TbCo2-xFex compounds

Magnetic properties and magnetocaloric effect in TbCo2-xFex compounds are studied by DC magnetic measurement. With increasing content of Fe, the entropy changes decrease slightly, though the Curie temperature is tuned from 231 K （x = 0） to 303 K （x = 0.1）. Magnetic entropies of TbCo2 compound are calculated by using mean field approximation （MFA）. Results estimated by using Maxwell relation are consistent with that of MFA calculation. It is shown that the entropy changes are mainly derived from the magnetic entropy changes. The lattice has almost no contribution to the entropy change in the vicinity of phase transition.     

泰勒公式在求解比较大小选择题中的应用

新课改要求学生能利用函数模型解决问题,而泰勒公式可以在比较与估计类的问题中大大地简化运算.本文中结合书本例题和高考题主要叙述了泰勒公式如何在比较与估计问题中灵活运用.     

NONLINEAR STABILITY OF RAREFACTION WAVES FOR A RATE-TYPE VISCOELASTIC SYSTEM

51.IntroductionInthispaper,westudythefollowingrate-typeviscoelasticsystem,i.e.,wherevand(--p)denotestrainandstress,uisrelatedtotheparticlevelocity,EisapositiveconstantcalledthedynamicYOung'smodulus,T>0isarelaxationtime.Thissystemwasproposedinfi6]tointroducearelaxationapproximationtothefollowingsystemSincethesystem(1.2)canbeobtainedfrom(1.1)byanexpansionprocedureasthefirstorder,itisnaturaltoexpectthatthesolutionof(1.1)convergestothatof(1.2)asT-0.However,thezerolimitconvergencehasnotbeenestabl…     

MIXED LEGENDRE-HERMITE PSEUDOSPECTRAL METHOD FOR HEAT TRANSFER IN AN INFINITE PLATE

A new mixed Legendre-Hermite interpolation is introduced. Some approximation re-suits are established. Mixed Legendre-Hermite pseudospectral method is proposed fornon-isotropie heat transfer in an infinite plate. Its convergence is proved. Numericalresults show the effciency of this approach.     

Modified Legendre Rational Spectral Method for the Whole Line

A mutually orthogonal system of rationalSome approximation results are establishedfunctions on the whole line is introduced.As an example of applications, a modified Legendre rational spectral scheme is given for the Dirac equation. Its numerical solution keeps the same conservation as the genuine solution. This feature not only leads to reasonable numerical simulation of nonlinear waves, but also simplifies the analysis. The convergence of the proposed scheme is proved. Numerical results demonstrate the efficiency of this new approach and coincide with the analysis well.     

Finite element method for some nonlinear integro-differential equations

Abstract. This paper studies the finite element method for some nonlinear hyperbolic partial differential equations with memory and dampling terms. A Crank-Nicolson approximation for this kind of equations is presented. By using the elliptic Ritz Volterra projection,the analysis of the error estimates for the finite element numerical solutions and the optimal H1-norm error estimate are demonstrated.     

求无理数^p（q的平方根）的近似值一法的几何解释

文[1]介绍了求无理数^p（q的平方根）的近似值可按下操作进行：先选定a0作为^p（q的平方根）的初始近似值，     

Coincidence Points and Invariant Approximation Results for Multimaps

Some coincidence point theorems satisfying a general contractive condition are proved. As applications, some invariant approximation results are also obtained and several related results in the literature are either extended or improved.     

关于分布参数控制系统能控性的一个注

This paper gives the relation between the precise controllabilities of two distribution parameter systems.