简介:ANINVARIANTFORHYPERGRAPHSWANGJIANFANG(InstituteofAPPliedMathematics,ChineseAcademyofSciences,Beijing100080,ChinaandAsia-Pacif...
简介:Controlinvariantsetsplayakeyroleinmodelpredictivecontrol.UsingLyapunovfunction,atechniqueisproposedtodesigncontrolinvariantsetsofplanarsystemsinapreciseform.First,itisdesignedforalinearsysteminBrunovskycanonicalform.Then,theresultisextendedtogenerallinearsystems.Finally,thenonlinearcontrolsystemsareconsidered,andsomesufficientconditionsanddesigntechniquesarealsoobtained.Numericalexamplesarepresentedtoillustratetheproposeddesignmethods.
简介:对在量chromodynamics(QCD)的nonperturbative政体的夸克动力学的描述的一条计量器不变的途径的主要方面首先被考察。在构造计量器不变的草地功能的平行运输操作的角色然后被介绍,并且为相互作用的表示的威尔森环的关联被强调。基于为平行运输操作的多角形的线的使用,最近的开发被介绍。一个integro微分的方程,为沿着一个单身者,与一个阶段因素定义的夸克草地功能获得了直线片断,确切被解决并且在在large-Nc限制的二维的QCD的情况中的经分解。解决方案为夸克显示动态集体产生现象,与比简单的杆强壮的分支切割奇特的一个无限的数字。
简介:我们证明一些固定的点定理。作为应用程序,我们在局部地围住的拓扑的向量空格在nonconvex集合的一个类上在不变的近似上获得Brosowski-Meinardus类型定理。
简介:在这篇论文,我们考虑Markov进程(X~∈(t),Z~∈(t))相应于有小参数∈的一个微弱地联合的椭圆形的PDE系统>0。我们首先证明那(X~∈(t),Z~∈(t))由联合方法有Feller连续性,然后证明那(X~∈(t),Z~∈t))由收养的Lyapunov不平等有不变的措施μ~∈(·)。最后,当小参数∈趋于到零,我们为μ~∈(·)建立一个大偏差原则。
简介:Weintroducethenotionofproperty(RD)foralocallycompact,Hausdorffandr-discretegroupoidG,andshowthatthesetS2^l(G)ofrapidlydecreasingfunctionsonGwithrespecttoacontinuouslengthfunctionIisadensespectralinvariantandFreehet*-subalgebraofthereducedgroupoidC^*-algebraCr^*.(G)ofGwhenGhasproperty(RD)withrespecttol,sotheK-theoriesofbothalgebrasareisomorphicunderinclusion.EachnormalizedcoeycleconG,togetherwithaninvariantprobabilitymeasureontheunitspaceGoofG,givesrisetoacanonicalmapTconthealgebraCo(G)ofcomplexcontinuousfunctionswithcompactsupportonG.WeshowthatthemapTccanbeextendedcontinuouslytoS2^l(G)andplaysthesameroleasann-traceonCr^*(G)whenGhasproperty(RD)andcisofpolynomialgrowthwithrespecttol,sotheConnes'fundamentparingbetweentheK-theoryandthecycliccohomologygivesustheK-theoryinvariantsonCr^*(G).
简介:Thepresentpaperdealswiththeaveragecase,complexityoftheshift-invariantproblem.Themainaimistogiveanewproofoftheupperboundofaverageerroroffiniteelementmethod.OurmethodisbasedonthetechniquesproposedbyHeinrich(1990).WealsopointoutanessentialerrorregardingtheproofoftheupperboundinA.G.Werschulz(1991).
简介:LetAbeaunitalC*-algebra,n∈N∪{∞}.Itisprovedthattheisomorphism△n:Un0(A)/DUn0(A)→AffT(A)/△n0(π1(Un0(A)))isisometricforsomesuitabledistances.Asanapplication,theauthorhasthesplitexactsequence0→AffT(A)/△n0(π1(Un0(A)))iA→Un(A)/DUn(A)πA→Un(A)/Un0(A)→0withiAcontractive(andisometricifn=∞)undercertainconditionofA.
简介:基准的标记基于的扩充现实有许多应用。到目前为止,基准的标记的内部模式总是被用来编码标记。因此,基准的标记图象的大部分被用于编码而不是为姿势精确性提供相应特征点。这篇论文论述直接利用的一个新奇方法射影不变在相应特征点的位置的关系包含了编码标记。建议方法不为再编码要求模式图象的区域并且能提供更多的相应特征点以便更高的姿势精确性能容易被完成。象累积分布函数,设计确认和柔韧的过程那样的许多相关途径被建议克服敏感的问题射影不变。建议基准的标记系统可靠、柔韧的试验性的结果表演,和罐头比由存在基准的标记系统完成了提供更高的姿势精确性。电子增补材料这篇文章(doi:10.1007/s11390-007-9100-0)的联机版本包含增补材料,它对授权用户可得到。
简介:Basedonthegeneralsolutiongiventoakindoflineartensorequations,thespinofasymmetrictensorisderivedinaninvariantform.Theresultisappliedtofindthespinsoftheleftandthetightstretchtensorsandtherelationamongdifferentrotationratetensorshasbeendiscussed.Accordingtoworkconjugacy,therelationsbetweenCauchystressandthestressesconjugatetoHill’sgeneralizedstrainsareobtained.Particularly,thelogarithmicstrain,itstimerateandtheconjugatestresshavebeendiscussedinde-tail.Theseresultsareimportantinmodelingtheconstitutiverelationsforfinitedeformationsincontinuumme-chanics.
简介:Thekernelbasedtrackinghastwodisadvantages:thetrackingwindowsizecannotbeadjustedefficiently,andthekernelbasedcolordistributionmaynothaveenoughabilitytodiscriminateobjectfromclutterbackground.Forboostingupthefeature'sdiscriminatingability,bothscaleinvariantfeaturesandkernelbasedcolordistributionfeaturesareusedasdescriptorsoftrackedobject.Theproposedalgorithmcankeeptrackingobjectofvaryingscalesevenwhenthesurroundingbackgroundissimilartotheobject'sappearance.