简介:Wepresentsecond-orderexpressionsforthefree-surfaceelevation,velocitypotentialandpressureresultingfromtheinteractionofsurfacewavesinwaterofarbitrarydepth.Whenthesurfacewaveshavenearlyequalfrequenciesandnearlyoppositedirections,asecond-orderpressurecanbefeltallthewaytotheseabottom.Thereareatleasttwoareasofapplications:reflectivestructuresandmicroseisms.Microseismsgeneratedbywaterwavesintheoceanaresmallvibrationsofthegroundresultingfrompressureoscillationsassociatedwiththecouplingofoceansurfacegravitywavesandtheseafloor.Theyarerecordedonland-basedseismicstationsthroughouttheworldandtheyaredividedintoprimaryandsecondarytypes,asafunctionofspectralcontent.Secondarymicroseismsaregeneratedbytheinteractionofsurfacewaveswithnearlyequalfrequenciesandnearlyoppositedirections.Theefficiencyofmicroseismgenerationthusdependsinpartonoceanwavefrequencyanddirection.Basedonthesecond-orderexpressionsforthedynamicpressure,asimpletheoreticalanalysisthatquantifiesthedegreeofnearnessinamplitude,frequency,andincidenceangle,whichmustbereachedtoobservethephenomenon,ispresented.
简介:Ineverusedtobelieveinfate.Ithoughtyoumadeyourownlife,anditwasakindofweaknesstoblamesomethingonfate.Butallthatchangedin1988.IhadbeenofferedafilmcalledSeeNoEvil,HearNo
简介:Supposethatacontinuous27r-periodicfunctionfontherealaxischangesitsmonotonicityatpointsy_1:-π≤y_(2s)
简介:一、相同之处两者均可表示"几乎""差不多",均可修饰不定代词、形容词、副词、动词、介词短语等,此时两者常可换用。如:It’salmost[nearly]impossible.那几乎是不可能的。(修饰形容词)Healmost[nearly]alwaysarriveslate.他差不多总是迟到。(修饰副词)Hefellandalmost[nearly]brokehisleg.他摔了一跤,险些摔断了腿。(修饰动词)Almost[nearly]allthestudentspassedtheexam.差不多所有的学生都通过了考试。(修饰不定代词)
简介:Theproblemofrelatingtheeigervaluesofann×nHermitianmatrixtothoseofitsRayleigh-Ritzapproximationisconsidered.ThesameresidualboundforunitarilyinvariantnormsonHermilianmatricesisobtainedevenwithouttheorlhonormalandRayleigh-RitzassumptionsinStewartandSun’sbook[9,TheoremIV.4.14].TheresultcanalsobeextendedtonearlyHermitianmatrices.
简介:NearlyorthogonalLatinsquaresareusefulforconductingexperimentseliminatingheterogeneityintwodirectionsandusingdifferentinterventionseachateachlevel.Inthispaper,someconstructionsofmutuallynearlyorthogonalLatinsquaresareprovided.Itisprovedthatthereexist3MNOLS(2m)ifandonlyifm≥3ndthereexist4MNOLS(2m)ifandonlyifm≥4withsomepossibleexceptions.
简介:InthispaperthelimitingdistributionoftheleastsquareestimatefortheautoregressivecoefficientofanearlyunitrootmodelwithGARCHerrorsisderived.Sincethelimitingdistributiondependsontheunknownvarianceoftheerrors,anempiricallikelihoodratiostatisticisproposedfromwhichconfidenceintervalscanbeconstructedforthenearlyunitrootmodelwithoutknowingthevariance.Togainanintuitivesensefortheempiricallikelihoodratio,asmallsimulationfortheasymptoticdistributionisgiven.
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简介:StatisticsbulletinprovidedbytheStatePowerCorporationshowedthatinvestmentinpowernetworksbypowersystemsundertheStatePowerCorporationamountedto115.6billionyuanin2000.Itshared68.2%ofthenation’stotalfixedassetsinvestmentinpowersectors,whichhitthehighesthistorical
简介:实际兴趣的许多问题的几何学从圆形或椭圆形的弧被创造。弧边界元素能确切代表这些边界,并且因而,错误由表示用多项式形状功能的如此的几何学能被移开引起。为了充分利用圆形的边界,非退化的边界积分方程(BIEs)和一个将军的几何学,为弧元素可得到的非线性的转变技术被介绍外面移开或抑制不可分的核的单个或将近单个的性质。几个基准2Delastostatic问题证明现在的算法罐头有效地处理为边界层效果和薄墙的结构的问题发生在边界元素方法(BEM)的单个、将近单个的积分。由于准确几何表示的雇用,没有增加另外的更计算的努力,仅仅沿着边界和高精确性要划分的元素需要的一个小数字能被完成。[从作者抽象]
简介:AnefficientmethodforC2nearlyarc-lengthparameterizedcurveispresented.Anideaofapproximationforthearc-lengthfunctionofparametriccurvewhichinterpolatesCADdatapointsisdiscussed.Theparameterizationisimplementedbyusingparametertransformation.Finally,twonumericalexamplesaregiven.
简介:Somepropertiesofconvexconesareobtainedandareusedtoderiveseveralequivalentconditionsaswellasanotherimportantpropertyfornearlycone-subconvexlikeset-valuedfunctions.Undertheassumptionsofnearlycone-subconvexlikeness,aLagrangianmultipliertheoremonBensonproperefficiencyispresented.Relatedresultsaregeneralized.
简介:Electroncyclotronresonanceheating(ECRH),suchasthefundamentalheatingandthesecondharmonicheating,isabasicandpowerfulmethodtoheattheplasmaintokamakandstellaratordevices.Theoreticalstudiesofthisheatinghasbeendoneinratherearlyliteratures,however,theunderstandingofsomeimportantproblemsisstilluncertain.Theseinclude:thecouplingoftheO-modeandtheE-modeandtheroleofthiscouplinginwavedamping,theO-modedampingmechanism,
简介:Inthispaper,westudyHenigefficiencyinvectoroptimizationwithnearlycone-subconvexlikeset-valuedfunction.TheexistenceofHenigefficientpointisprovedandcharacterizationofHenigefficiencyisestablishedusingthemethodofLagrangianmultiplier.Asaninterestingapplicationoftheresultsinthispaper,weestablishaLagrangemultipliertheoremforsuperefficiencyinvectoroptimizationwithnearlycone-subconvexlikeset-valuedfunction.
简介:Weobtaintheexpressionsforsectionalcurvature,holomorphicsectionalcurvatureandholomorphicbisectionalcurvatureofaGCR-lightlikesubmanifoldofanindefinitenearlyKhlermanifoldandobtaincharacterizationtheoremsforholomorphicsectionalandholomorphicbisectionalcurvature.WealsoestablishaconditionforaGCR-lightlikesubmanifoldofanindefinitecomplexspaceformtobeanullholomorphicallyflat.
简介:Inthispaper,weproposeanearlyanalyticexponentialtimedifference(NETD)methodforsolvingthe2Dacousticandelasticwaveequations.Inthismethod,weusethenearlyanalyticdiscreteoperatortoapproximatethehigh-orderspatialdifferentialoperatorsandtransformtheseismicwaveequationsintosemi-discreteordinarydifferentialequations(ODEs).Then,theconvertedODEsystemissolvedbytheexponentialtimedifference(ETD)method.WeinvestigatethepropertiesofNETDindetail,includingthestabilityconditionfor1-Dand2-Dcases,thetheoreticalandrelativeerrors,thenumericaldispersionrelationforthe2-Dacousticcase,andthecomputationalefficiency.Inordertofurthervalidatethemethod,weapplyittosimulatingacoustic/elasticwavepropagationinmultilayermodelswhichhavestrongcontrastsandcomplexheterogeneousmedia,e.g.,theSEGmodelandtheMarmousimodel.Fromourtheoreticalanalysesandnumericalresults,theNETDcansuppressnumericaldispersioneffectivelybyusingthedisplacementandgradienttoapproximatethehigh-orderspatialderivatives.Inaddition,becauseNETDisbasedonthestructureoftheLiegroupmethodwhichpreservesthequantitativepropertiesofdifferentialequations,itcanachievemoreaccurateresultsthantheclassicalmethods.
简介:Theisotropyoranisotropyinsomephysicalpropertiesoftheammorphouspoly(ethyleneterephthalate)filmsuniaxiallydrawnattemperaturesaboveitsT_gandthenquenchedtoroomtemperaturehavebeenstudied.Experimentalresultsherepresentedshowthatthisamorphousstateofhighglobalchainorientationbutnearlyrandomsegmentalorientation,theGOLRstate,isnearlyisotropicinrefractiveindicesandYoung’smodulusforsmalldeformation,whileitisveryprobablyanisotropicinthermalconductionandmicrowavedielectricproperties.