ON THE BOUNDARY STABILIZATION OF WAVE EQUATION WITH VARIABLE COEFFICIENT

1.IntroductionLetfibeaboundedopendomaininR"(n22)withsmoothboundaryr,u~u(s)betheoutwordnormalofrats.GivenavectorxoER",denotem(x)gx--xo(x6R"),Rgsup{lm(x)fjxCfi}.SetLndsupposer nrAI~0.Weconsiderthefollowingwaveequationonfiwithboundaryfeedback:whereK=(m'u)k,L…     

SUPER HYPERBOLIC TYPE KAC-MOODY LIEALGEBRA

1.IntroductionInthepajst20years,thetheoryofKac-MoodyLiealgebraemergedasatopiccloselyconnectedwithmanyareasofmathematicsandmathematicalphysics,suchasinvarianttheory,combinatorics,thetheoryofmodulaxformsandquantumtheory.AmongKac-MoodyLiealgebras,theLiealgeb…     

红外天文学

我们可以通过红外天文观测回答：如何作才能了解恒星的生与死？弥漫在银河及其它星系的尘埃微粒的性质如何？棕矮星、太阳系外行星或其它亚星物质天体的性质如何？     

Deformable surface modeling based on dual subdivision

Free formsurfaces ,especiallynon uniformratio nalB splines (NURBS) ,arewidelyusedincomputeraidedgeometricdesignandcomputer aideddesign/manufacturing .However ,usuallyasurfaceofarbi trarytopologycannotberepresentedbyasingleNURBS .Moreover ,itisverydifficulttosettheknotspacings,manipulatethecontrolverticesormodifytheweightstomeetsomedesignrequestsusingNURBS .Consequently ,subdivisionsurfacesappeartouniformlymodelanycomplexsurfacesofarbitrarytopology[1] .However ,interactivemethodsformodi …     

约束规划的原理

约束规划的内涵很广，应用也很广泛，在经济、管理、电子工程、分子生物学等许多学科和领域都有着重要应用。本书对约束规划的理论体系做了较全面的阐述，并结合实例对一些重要算法思想、算法步骤进行了介绍。可以说这是一本在理论和实际方面都很有指导意义的书。     

Fuzzy Interval Value Logic and Fuzzy Distributed Value Logic

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Constructing a quasi-Legendre basis based on the C-Bézier basis

Inmostcomputeraideddesign(CAD)andcom puteraidedgeometricdesign(CAGD)systems,the BernsteinpolynomialsrepresentationofB啨ziercurves andsurfaceshasbeenastandard.Legendrepolynomi alshavesomeremarkableproperties.Firstly,Legen drepolynomialsconstituteanorthogonalbasisandthe degreeoftheLegendrebasisfunctionsgraduallyin creases,whichallowsthecoefficientsoftheapproxi mationtobedetermineddirectlywithoutneedingto solvealinearsysteminmanygeometricoperations whereapproximationisinvolved.Forexample,Lie…     

Ring-opening and Elimination Cooligomerization of Cyclic Carbonates and ε-Caprolactone

1Introduction Cyclic carbonates e.g. ethylene- and propylene carbonate undergo ring-opening polymerization (ROP) at elevated temperatures (＞ 100 ℃ ) in the presence of initiators such as Lewis acids, bases, or transesterification catalysts to yield poly(ether carbonates) as outlined below. See Fig. 1.     

计算离散数学——Mathematica中的组合学与图论

Combinatorica是著名数学软件Mathemafica的一个重要扩展，是Mathelnatlca的一个重要软件包，专门用于求解分析离散数学问题。本书实际是对Combinatorica第2代版本的介绍，相当于Combinatorica的使用手册、向导。它把离散数学的知识与软件使用结合起来，在了解软件及其使用的同时，也可以帮助读者加深对离散数学的理解。     

Application of Neurocomputing in Adaptive Control of Large-Scale Aerospace Systems

We are engaged in solving two difficult problems in adaptive control of the large-scale time-variant aerospace system. One is parameter identification of time-variant continuous-time state-space modei; the other is how to solve algebraic Riccati equation (ARE) of large order efficiently. In our approach, two neural networks are employed to independently solve both the system identification problem and the ARE associated with the optimal control problem. Thus the identification and the control computation are combined in closed-loop, adaptive, real-time control system . The advantage of this approach is that the neural networks converge to their solutions very quickly and simultaneously.