简介：ThispaperstudiestheGaussmapofsubmanifoldsinspaceformsdefinedbyWillmoreandSaleemi.ByusingMorsefunctions,itisprovedthatthedegreeofGaussmapistheEulernumberofthesubmanifold,Thetightimmersionsarealsostudied.

简介：Acoupledmaplatticeswithconvectivenonlinearityor,forshort,ConvectiveCoupledMap(CCM)isproposedinthispapertosimulatespatiotemporalchaosinfluidflows.ItisfoundthattheparameterregionofspatiotemporalchaoscanbedeterminedbythemaximalLiapunovexponentofitscomplexitytimeseries.Thissimplemodelimpliesasimilarphysicalmechanismforturbulencesuchthattheroutetospatiotemporalchaosinfluidflowscanbeenvisaged.

简介：我们基于联合地图格子(电流型逻辑)的空间与时间的混乱建议一个密码的计划，它基于一次性的垫。秘密成员系统的结构决定在解密的进步在在电流型逻辑探索空间与时间的混乱的动态行为暗示进步。电流型逻辑的起始的条件的部分被彻底的搜索用作秘密钥匙的一把秘密钥匙，和恢复由于到在空间与时间的混乱的起始的条件的敏感是不可能的系统。特殊计划的软件实现是容易的。

简介：TheauthorobtainsaWeierstrassrepresentationforsurfaceswithprescribednormalGaussmapandGausscurvatureinH3.AdifferentialequationaboutthehyperbolicGaussmapisalsoobtained,whichcharacterizestherelationamongthehyperbolicGaussmap,thenormalGaussmapandGausscurvature.TheauthordiscussestheharmonicityofthenormalGaussmapandthehyperbolicGaussmapfromsurfacewithconstantGausscurvatureinH3toS2withcertainalteredconformalmetric.Finally,theauthorconsidersthesurfacewhosenormalGaussmapisconformalandderivesacompletelynonlineardifferentialequationofsecondorderwhichgraphmustsatisfy.

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简介：Thispaperdevelopedanewtypeofthreedimensionalinnermicrofintube,Theexperimentalresultsoftheflowpatternsforthehorizontalcondensationinsidethesetubesarereportedinthepaper,Theflowpatternsforthehirizontalcondensationinsidethenewmadetubesaredividedintoannularflowstratifiedflowandintermittentflowwithinthetestconditions.Theexperimentsofthelocalheattransfercoefficientsforthedifferentflowpatternshavebeensystematicallycariedout,Theexperimentsofthelocalheattransfercoefficientschangingwiththevapordrynessfractionhavealsobeencarriedout.Ascomparedwiththeheattransfercoefficientsofthetwodimensionalinnermicrofintubes,thoseofthethreedimensionalinnermicrofintubesincrease47-127%fortheannularflowregion,38-183%forthestratifiedflowand15-75%,fortheintermittentflow,respectively.Theenhancementfactorofthelocalheattransfercoefficientsisfrom1\8-6\9forthevapordrynessfractionfrom0.05to1.