简介:Abstract.Inthispaper,weintroduceanewapproachtocharacterizetheisomor-phismsofcirculantdigraphs.Intermsofthismethod,wecompletelydeterminetheisomorphicclassesofcirculantdigraphsofdegree3.Inpsrticular,wecharacterizethosecirculantdigraphsofdegree3whichdon''tsatisfyJkdAm''sconjectttre.
简介:让f:M→R~3是有非退化的秒的面向的表面基本形式。我们由H和K表示它的吝啬的弯曲和高斯弯曲。然后f的Laguerre体积,由L(f)=∫(H~2定义-K)/KdM,一在Laguerre转变下面不变。功能的L的批评表面被称为Laguerre最小的表面。在这篇论文,我们学习在由使用拉久雷·高斯的R~3的最小的表面印射的theLaguerre。这被知道最小的表面有的genericLaguerre有一样的高斯地图的双Laguerre最小的表面。在这篇论文,我们证明不是Laguerre的任何表面最小被它的LaguerreGaussmap特别地决定。我们也证明圆范围是在R~3的唯一的紧缩的Laguerre最小的表面。并且我们与消失的Laguerre形式在R~3给表面的一条分类定理。
简介:Inthispaper,weprovethatifGisaplanegraphwithout4-,5-and7-circuitsandwithoutintersectingtriangles,thenforeachfacefofdegreeatmost11,any3-coloringoftheboundaryoffcanbeextendedtoG.ThisgivesapositivesupporttoaconjectureofBorodinandRaspaudwhichclaimsthateachplanegraphwithout5-circuitsandintersectingtrianglesis3-colorable.
简介:ByapplyinghigherpowersoftheBogoliubovtransformationoperatorb^t=u^*a+μ^*a^ttothetwo-photoncoherentstates(orminimumuncertaintysqueezedstates)weconstructanewtypeofquantumstatewhichwecallthegeneralizedexcitedtwo-photoncoherentstates.Analyticexpressionsforthequantumstatisticalpropertiesarederived,andthroughnumericalcomputationthephasespacequasi-probabilitydistributionsarefound.Thesestatescanexhibithighlynonclassicalbehaviourdependingonthedegreeofexcitationmandotherparameters.ForparticularvaluesoftwoparametersAandp,thesegeneralizedstatesreducetootherclassesofcoherentstatesformerlyreported.Ourtheorythuspresentsamuchbroaderapproachtothesetypesofquantumstates.
简介:Recently,theL-modetoH-mode(L-H)transitionintokamakplasmaconfinementwasfoundtoberelatedtothepresenceofthepoloidalflowshearneartheplasmaedge.Animportantmechanismistheionorbitlosscausedbyinteractionwiththelimiter.AcomplementaryexplanationisthegenerationofpoloidalflowsbyplasmafluctuationsviatheReynoldsstressandthepoloidalspin-upofplasmasfrompoloidalasymmetryofparticleandmomentumsources.
简介:ForthelowerboundaboutthedeterminantofHadamardproductofAandB,whereAisan×nrealpositivedefinitematrixandBisan×nM-matrix,JianzhouLiu[SLAMJ.MatrixAnal.Appl.,18(2)(1997):305-311]obtainedtheestimatedinequalityasfollowsdet(AoB)≥a11b11nⅡk=2(bkkdetAk/detAk-1+detBk/detBk-1(k-1Ei=1aikaki/aii))=Ln(A,B),whereAkiskthordersequentialprincipalsub-matrixofA.WeestablishanimprovedlowerboundoftheformYn(A,B)=a11baanⅡk=2(bkkdetAk/detAk-1+akkdetBk/detBk-1-detAdetBk/detak-1detBk-1)≥Ln(A,B).Formoreweakerandpracticallowerbound,Liugiventhatdet(AoB)≥(nⅡi=1bii)detA+(nⅡi=1aii)detB(nⅡk=2k-1Ei=1aikaki/aiiakk)=(L)n(A,B).WefurtherimproveitasYn(A,B)=(nⅡi=1bii)detA+(nⅡi=1aii)detB-(detA)(detB)+max1≤k≤nwn(A,B,k)≥(nⅡi=1bii)detA+(nⅡi=1aii)detB-(detA)(detB)≥(L)n(A,B).
简介:Wereportatype-ⅡGaSb-basedinterbandcascadelaseroperatingacontinuouswaveatroomtemperature.Thecascaderegionofinterbandcascadelaserwasdesignedusingthe‘W’configurationoftheactivequantumwellsandthe‘CarrierRebalancing’methodintheelectroninjector.Thedeviceswereprocessedintonarrowridgesandmountedepitaxialsidedownonacopperheatsink.The25-μm-wide,3-mm-longridgewithoutcoatedfacetsgenerated41.4mWofcontinuouswaveoutputpoweratT=15℃.Andalowthresholdcurrentdensityof267A/cm~2isachieved.TheemissionwavelengthoftheICLis3452.3nmat0.5A.
简介:WedemonstrateamonolithicsinglefrequencyTm-dopedfiberamplifierwithoutputpowerof51.5W.Asinglefrequencyfiberlaserat1.97μmisamplifiedbyacascadedmasteroscillatorpoweramplifier(MOPA)systemwithall-fiberconfiguration.Theoptical-to-opticalconversionefficiencyofthemainfiberamplifieris45%.Noamplifiedspontaneousemission(ASE)orstimulatedBrillouinscattering(SBS)effectisobservedinthefiberamplifier.Theoutputpowercouldbefurtherscaledbylaunchingmorepumppower.