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简介：作者学习格林通讯和伪--为在强烈分级的戒指上的不能分解的模块的格林通讯。动机是在分级的模块的indecomposability上调查正式就职和限制过程的影响。

简介：TheauthorpresentssomestraightforwardproofsfortwocomparisontheoremsforGreenfunctionsofMarkovchains,whichslightlyimprovethepreviousresultsbyVaropoulos,DurrettandYanandChen.ArecentresultbyRogersandWilliamsaboutinstantaneousMarkovchainsisalsoimprovedbyusingthesameidea.

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简介：Byusingthefundamentalequationsofaxisymmetricshallowshellsofrevolution,thenonlinearbendingofashallowcorrugatedshellwithtaperunderarbitraryloadhasbeeninvestigated.ThenonlinearboundaryvalueproblemofthecorrugatedshellwasreducedtothenonlinearintegralequationsbyusingthemethodofGreen'sfunction.Tosolvetheintegralequations,expansionmethodwasusedtoobtainGreen'sfunction.ThentheintegralequationswerereducedtotheformwithdegeneratecorebyexpandingGreen'sfunctionasseriesofcharacteristicfunction.Therefore,theintegralequationsbecomenonlinearalgebraicequations.Newton'siterativemethodwasutilizedtosolvethenonlinearalgebraicequations.Toguaranteetheconvergenceoftheiterativemethod,deflectionatcenterwastakenascontrolparameter.Correspondingloadswereobtainedbyincreasingdeflectiononebyone.Asanumericalexample,elasticcharacteristicofshallowcorrugatedshellswithsphericaltaperwasstudied.Calculationresultsshowthatcharacteristicofcorrugatedshellschangesremarkably.Thesnappinginstabilitywhichisanalogoustoshallowsphericalshellsoccurswithincreasingloadifthetaperisrelativelylarge.Thesolutionisclosetotheexperimentalresults.

简介：ConsiderthepiecewiselinearfiniteelementsubspaceSandparabolicsemidiscreteGreen’sfunctionofgradienttypeGh(t)∈Sk.Theasymptoticoptimalestimatedxdt

简介：Theaimofthisexpositionistoprovideadetaileddescriptionoftheuseofcombinatorialalgebrainquantumfieldtheoryintheplanarsetting.ParticularemphasisisplacedontherelationsbetweendifferenttypesofplanarGreen＇sfunctions.TheprimaryobjectisaHopfalgebrathatisnaturallydefinedonvariablesrepresentingnon-commutingsources,andwhosecoproductsplitsintotwohalf-coproducts.Thelattergiverisetothenotionofanunshuffiebialgebra.ThissettingallowsadescriptionoftherelationbetweenfullandconnectedplanarGreen＇sfunctionstobegivenbysolvingasimplelinearfixedpointequation.Wealsoincludeabriefoutlineoftheconsequencesofourapproachintheframeworkofordinaryquantumfieldtheory.

简介：给出一种基于商的形式的Lagrange与Hermite插值公式及其证明,同时还给出了两个相关的不等式.

简介：NaphtholgreenBwasused,forthefirsttime,asanewmediatorinanamperometricglucosebiosensor.Itisagoodmediator,promotingelectrontransferfromglucoseoxidasetographiteelectrode.Thebiosensorshowshighsensitivitytoglucoseatlowpotentialwithresponsetimeof30seconds.Thelinearrangeisfrom1.5to18μmol/Lglucosewithdetectionlimitof0.5μmol/Lglucose.

简介：本文主要讨论有限特殊Ｃｈｕｒｃｈ－ＲｏｓｓｅｒＴｈｕｅ系统所表现的么半群上Ｇｒｅｅｎ等价的数量性质．证明每种Ｇｒｅｅｎ等价类都是正则集合，其个数或１或∞且多项式时间内可计算．同时获得一个关于有限特殊Ｔｈｕｅ系统描述能力的结论．

简介：Anexplicitfull-fieldexpressionoftheGreen’sfunctionsforanisotropicpiezoeleetricbimateri-alswithaslippinginterfaceisderived.Whentheelectro-elasticsingularityreducestoapraydislocationindisplacementandelectricpotential,interactionenergy,betweenthedislocationandthebimaterialsisobtainedexplicitlywhilethegeneralizedforceonthedisloeationisgiveninarealformwhiehisalsovalidfordegener-atematerials.Theinvestigationdemonstratesthatthehoundaryconditionsatlheslippinginterfacebetweentwopiezoelectricmaterialswillexertaprominentinfluenceonthemobilityofthedislocation.

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简介：ＩｎｔｒｏｄｕｃｔｉｏｎＷｈｅｎａｎａｌｙｚｉｎｇｔｈｅｄｙｎａｍｉｃｉｎｔｅｒａｃｔｉｏｎｏｆａｓｏｉｌ＿ｓｔｒｕｃｔｕｒｅｓｙｓｔｅｍ，ｔｈｅｋｅｙｓｔｅｐｉｓｔｏｃａｌｃｕｌａｔｅｔｈｅｄｙｎａｍｉｃｓｔｉｆｆｎｅｓｓｍａｔｒｉｘｏｆｔｈｅｓｏ...

简介：ThisinvestigationpresentstheGreenfunctionsforadecagonalquasicrystallinematerialwithaparabolicboundarysubjecttoalineforceandalinedislocationbymeansofthecomplexvariablemethod.ThesurfaceGreenfunctionsaretreatedasaspecialcase,andtheexplicitexpressionsofdisplacementsandhoopstressattheparabolicboundaryarealsogiven.Finally,thestressesanddisplacementsinducedbyaphononlineforceactingattheoriginofthelowerhalf-spacearepresented.

简介：根据建立在连续支付红利且利率变动的股票上的期权的到期特点,利用两个数字式期权构造的投资组合收益来复制期权从而导出欧氏看跌期权的定价公式,避开了通过求解B-S方程来得到期权价格的困难.运用同样的方法也获得了期货期权公式.

简介：一、问题的提出所谓中点弦问题，即已知一点和一圆锥曲线，求以这点为中点的圆锥曲线的弦的方程．此问题按习惯解法是：设点斜式方程代入圆锥曲线，由韦达定理求中点，从而求出斜率得直线方程．此法运算量大，特别带参数时运算更繁，下面给出较简单的方法及证明．二、引理...

简介：数学作为研究现实世界的空间形式和数量关系的科学，其思想方法、结论大多是以数学公式来表达的，这不仅从一个方面体现了数学学科的高度抽象性，由此也注定了数学公式在数学教学中的重要地位．简单地讲，用数学符号或文字表示各个数量之间关系的式子叫做公式．数学公式可...

简介：给出了计算二重积分的Simpson公式与两点高斯公式的对偶公式的构造过程,得到与之对应的高精度对偶修正解,提高了二重数值积分公式的计算精度,同时给出了二重积分的一种估值方法.最后,应用于几个典型的数值算例,计算结果表明：对偶修正解比对应的数值积分公式及其对偶公式的解有更高的计算精度和更快的收敛速度.

简介：Becausemostpiezoelectricdeviceshaveinterfaceswithfluidinengineering,itisvaluabletostudythecoupledfieldbetweenfluidandpiezoelectricmedia.Asthefundamentalproblem,the3DGreen'sfunctionsforpointforcesandpointchargeloadedinthefluidandpiezoelectricbimaterialsarestudiedinthispaper.Basedonthe3Dgeneralsolutionsexpressedbyharmonicfunctions,weconstructedthesuitableharmonicfunctionswithundeterminedconstantsatfirst.Then,thecouplefieldinthefluidandpiezoelectricbimaterialscanbederivedbysubstitutionofharmonicfunctionsintogeneralsolutions.Theseconstantscanbeobtainedbyvirtueofthecompatibility,boundary,andequilibriumconditions.Atlast,thecharacteristicsoftheelectromechanicalcoupledfieldsareshownbynumericalresults.