简介：ＴｅｎｓｏｒＰｒｏｂａｂｉｌｉｔｙＣｕｒｒｅｎｔａｎｄＣｏｎｔｉｎｕｉｔｙ￥ＷｅｉＺｈｉｙｏｎｇａｎｄＺｈｕＹｏｎｇｔａｉＩｔｉｓｋｎｏｗｎｔｈａｔｉｎｑｕａｎｔｕｍｍｅｃｈａｎｉｃｓｗａｖｅｆｕｎｃｔｉｏｎｓｃｏｎｔａｉｎａｌｌｔｈｅｉｎｆ...

简介：ＩｎｅｒｔｉａＴｅｎｓｏｒｆｏｒＳｙｍｍｅｔｒｉｃＦｉｓｓｉｏｎ￥ＺｈａｎｇＸｕｅｑｉａｎ；ＸｕＳｈｕｗｅｉ；ＳｈｅｎＣｕｉｈｕａ；ＺｈａｎｇＪｕｐｉｎｇａｎｄＹｕａｎＳｈａｎｇｇｕｉＲｅｃｅｎｔｌｙｅｘｔｅｎｓｉｖｅｉｎｖｅｓｔｉｇａｔｉｏ?..

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简介：Theso-called＂phasedifference＂iscommonlyintroducedasaphenomenologicalparameterinRamantensortheory,soastofittheexperimentaldatawell.Althoughphasedifferenceiswidelyrecognizedasanintrinsicpropertyofcrystals,itsphysicsstillremainsambiguous.Recently,Kranertetal.havepresentedanewformalismtoexplaintheoriginofphasedifferencetheoretically.Here,wesystematicallyconductedexperimentalresearchwithpolarphononsinwurtzitecrystals,theresultsofwhichstronglysurestthatthephasedifferenceshouldbepredeterminedinaRamantensor,ratherthanbetreatedasRamantensorelementstraditionallyorasanintrinsicproperty.OnthegroundsofpinpointingexistinglogicalflawsinRamantensorstudy,weprovidealogicallyclearparadigm.

简介：TheangledependenceofopticalphononmodesofanAlNbulksinglecrystalfromthem-plane（1100）andc-plane（0001）surfaces,respectively,isinvestigatedbypolarizedRamanspectroscopyinabackscatteringconfigurationatroomtemperature.CorrespondingRamanselectionrulesarederivedaccordingtomeasuredscatteringgeometriestoillustratetheangledependence.Theangle-dependentintensitiesofphononmodesarediscussedandcomparedtotheoreticalscatteringintensities,yieldingtheRamantensorelementsofA1（TO）,E22,E1（TO）,andA1（LO）phononmodesandtherelativephasedifferencebetweenthetwocomplexelementsofA1（TO）.Furthermore,theRamantensorofwurtziteAlNiscomparedwiththatofwurtziteZnOreportedinpreviouswork,revealingtheintrinsicdifferencesoflatticevibrationdynamicsbetweenAlNandZnO.

简介：TheauthorconsidersrelationsbetweenYang-Baxteroperatorsandtensortransformations,andprovesthatalltensortransformationsoverthecategoryofmodulesofaYang-spaceformagroup.

简介：有Hopf代数学的至少二种归纳，即pre鈥揌opf代数学和弱Hopf代数学。相应地，我们有二种概括bialgebras，几乎bialgebra和弱bialgebra。让=(，?，我，一，l，r)是一个张肌范畴。由放弃我，l，r并且保留?，一在里面，第一个作者那么得到了鈥揷alledpre鈥搕ensor范畴=(，?，一)并且使用它在Comm描绘几乎bialgebra和pre鈥揌opf代数学。在代数学，32(2)：397鈥?41(2004)。我们在这份报纸的目的是概括张肌范畴=(，?，我，一，l，r)由削弱自然同晶型l，r，即交换自然同晶型ll?1=rr?1个=标志进常规自然转变ll?l=l，rr?有一些另外的条件的r=r并且那么得到鈥揷alled弱张肌范畴以便描绘弱bialgebra和弱Hopf代数学。在这些之间的关系概括了(bialgebras)Hopf代数学和二种类型概括了张肌范畴将被图使用描述。而且，关于弱张肌范畴的一些相关概念和性质将被讨论。关键词弱张肌范畴-弱Hopf代数学-Pre鈥揌opf代数学-Strictization先生(2000)题目分类16W30-18D10-16W35工程在大学里为新世纪优秀才能由节目支持了(号码04鈥?522)，中国(号码10571153)的国家自然科学基础和中国(号码102028)的浙江省的自然科学基础

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简介：这份报纸试图介绍一种交互颜色自然图象分割方法。这个方法由使用非线性的紧缩的结构张肌(NCST)然后使用GrabCut方法获得分割提取图象的特征。这个方法不仅认识到质地信息和颜色信息的非参量的熔化，而且改进计算的效率。然后，改进GrabCut算法被用来评估前景目标分割。以便计算简洁和效率，这份报纸也扩大构造的Gaussian混合模型(GMM)到张肌空间的GrabCut上的底，和使用Kullback-Leibler(KL)分叉而不是平常的Riemannian几何学。最后，一个重复集中标准被建议与满足的分割精确性戏剧性地减少GrabCut算法的重复的时间。在在合成质地图象和自然图象上进行很多实验以后，结果证明这个方法有更精确的分割效果。

简介：Whenstudyingtheregularpolygonalinclusionin1997,NozakiandTayadiscoverednumericallysomeremarkablepropertiesofEshelbytensor:EshelbytensoratthecenterandtheaveragedEshelbytensorovertheinclusiondomainareequaltothatofacircularinclusionandindependentoftheorientationoftheinclusion.ThenKawashitaandNozakijustifiedthepropertiesmathematically.Inthepresentpaper,someotherpropertiesofaregularpolygonalinclusionarediscovered.WefindthatforanN-foldregularpolygonalinclusionexceptforasquare,thearithmeticmeanofEshelbytensorsatNrotationalsymmetricalpointsintheinclusionisalsoequaltotheEshelbytensorforacircularinclusionandindependentoftheorientationoftheinclusion.Furthermore,intwocorollaries,wepointoutthatEshelbytensoratthecenter,theaveragedEshelbytensorovertheinclusiondomain,andthelineintegralaverageofEshelbytensorsalonganyconcentriccircleoftheinclusionareallidenticalwiththearithmeticmean.

简介：为在散开张肌图象的登记产生的一个变化问题的全球minimizer的存在被证明，它保证为散开张肌图象的登记有常规空间转变。

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简介：Consideringtheproblemofmoderanksrevealingofd-dimensionalarray(tensor)givenincanonicalform,weproposefastalgorithmbasedoncrossapproximationofGrammatricesofunfoldings.

简介：ThispaperdiscussestheidealstructureintensorproductABofC~*-algebraAandB,andintroducestheconceptofproperty(I)andproperty(K)withrespecttotheproblem.WhenAisanAF(orscattered)C~*-algebra,itisshownthatforanyC~*-algebraB,theidealsinABcanbeexpressedbythoseofAandB.

简介：ThispaperdealswiththeclassofQ-tensors,thatis,aQ-tensorisarealtensorAsuchthatthetensorcomplementarityproblem(q,A):findinganx∈R~nsuchthatx≥0,q+Ax~(m-1)≥0,andx~T(q+Ax~(m-1))=0,hasasolutionforeachvectorq∈R~n.SeveralsubclassesofQ-tensorsaregiven:P-tensors,R-tensors,strictlysemi-positivetensorsandsemi-positiveR_0-tensors.WeprovethatanonnegativetensorisaQ-tensorifandonlyifallofitsprincipaldiagonalentriesarepositive,andsotheequivalenceofQ-tensor,R-tensors,strictlysemi-positivetensorswasshowediftheyarenonnegativetensors.WealsoshowthatatensorisanR_0-tensorifandonlyifthetensorcomplementarityproblem(0,A)hasnonon-zerovectorsolution,andatensorisaR-tensorifandonlyifitisanR_0-tensorandthetensorcomplementarityproblem(e,A)hasnonon-zerovectorsolution,wheree=(1,1···,1)~T.

简介：PropertiesfortensorproductsofsemigroupsareconsideredandthesolutionsoftheequationAC-CB=Qarediscussed.Resultsobtainedinthispaperconsiderablygeneralizethoseobtainedin[9].

简介：SurfacereconstructionfromunorganizeddatapointsisachallengingprobleminComputerAidedDesignandGeometricModeling.Inthispaper,weextendthemathematicalmodelproposedbyJüttlerandFelis(Adv.Comput.Math.,17(2002),pp.135-152)basedontensorproductalgebraicsplinesurfacesfromfixedmeshestoadaptivemeshes.WestartwithatensorproductalgebraicB-splinesurfacedefinedonaninitialmeshtofitthegivendatabasedonanoptimizationapproach.Bymeasuringthefittingerrorsovereachcellofthemesh,werecursivelyinsertnewknotsincellsoverwhichtheerrorsarelargerthansomegiventhreshold,andconstructanewalgebraicsplinesurfacetobetterfitthegivendatalocally.Thealgorithmterminateswhentheerrorovereachcellislessthanthethreshold.WeprovidesomeexamplestodemonstrateouralgorithmandcompareitwithJüttler'smethod.Examplessuggestthatourmethodiseffectiveandisabletoproducereconstructionsurfacesofhighquality.

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简介：Ｍｏｍｅｎｔ　ｔｅｎｓｏｒ　ｉｎｖｅｒｓｉｏｎ　ｏｆ　ｎｅａｒ－ｓｏｕｒｃｅ　ｂｒｏａｄｂａｎｄ　ｄａｔａ（吴忠良）（陈运泰（倪江川）（王培德）（王鸣）Ｍｏｍｅｎｔｔｅｎｓｏｒｉｎｖｅｒｓｉｏｎｏｆｎｅａｒ－ｓｏｕｒｃｅｂｒｏａｄｂａｎｄｄａｔａ￥Ｚ...

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