与柯西准则等价的一个命题

本文提出与柯西准则等价的一个命题,即对于任给ε>0,ЗN,当m,n,>N时,恒有「X_n-X_m」·「X_n+1-X_m+1」<ε     

两点边值问题三次B样条插值解法

讨论了Ly(x):=y(″x)-p(x)y(′x)-q(x)y(x)=g(x)的两点边值问题的三次B样条插值解法.证明了该方法具有二阶收敛性和很好的稳定性.数值实验结果表明,该三次B样条方法比文献[8]和文献[9]的精度更高.     

组合型插值多项式的收敛阶

在引进了几个已知算子的基础上,为改进这些算子的收敛阶,以xk^(n)=(2k 1)/2n π,k=0,1,2,…,2n作为插值节点,构造了一个组合型的算子Gn(f;x),使算子Gn(f;x)一致收敛到以2π为周期的连续函数f(x),并且其收敛阶要优于已知的算子．     

等离子体处理对非织造布表面润湿性的效应

通过用等离子体处理非织造布的方法来提高其表面润湿性。电晕放电和低压辉光放电都对丙纶非织造布表面的润湿性有改善,低压辉光放电不涤纶非织造布表面的润湿性有改善。电晕放电处理非织造布的表面改性效果及改善维持时间都不如低压辉光放电。用等离子体处理非织造布来改善其表面润湿性的效果不能维持很长时间。等离子体处理可减小丙纶、涤纶非织造布表面与水的接触角,从而提高其表面的再润湿性。     

AN ALGORITHM FOR CONTINUOUS TYPE OPTIMAL SPHERICAL FACILITY LOCATION PROBLEM

1.IntroductionLetabeasmoothcurvedsurfaceonthe3-dimellsiollalsphereS={x6R3;IIxll=1},where11.ifisthe2-norm.Itsareacanbefound.LetW(u)beapositivecontinuousfunctioninQ.Letcos--'(.)denotethegeodesicdistanceorgreatcircledistance.Wewanttofindapoilltx*ESsuchthatf(X*)=alejj.W(U)COS~'(U"X)du.Thisiscalledthecontinuoustypeoptimalsphericalfacilitylocationproblem(P).ThecontinuouslysphericalfacilitylocationproblemisageneralizationoftheplanarEuclideancontinuousfacilitylocationproblem,andanedensionofth…     

公历置闰年方法的解析

历法的本质是对时间的度量问题,公历的核心问题是置闰年,公历是借助置闰协调历年与回归年之间的误差.利用辗转相除法将公历历年中的平年与回归年的误差同1作辗转相除,并按相除结果将0.242 2表为连分式.依次截取连分式,得到0.242 2的渐近分数序列.在其中选取8/33与31/128近似表示0.242 2,得33年8闰与128年31闰的置闰方法.在此基础上利用单位分数来表示31/128,得到一种复合周期置闰法,这便是公历的置闰规律.     

Attractors and the attraction basins of discrete-time cellular neural networks

1.INTRODUCTION Recentlynumerousmodelsofnervoussystemand brainwhicharecalledartificialneuralnetworkshave beenextensivelystudiedanddeveloped.Amongthe mostpopularmodelsintheliteraturearecellularneu ralnetworks,whichhavebeenextensivelystudied Thediscrete timecellularneuralnetwork(DTCNN) isoneofthefamousneuralnetworkswithawide rangeofapplications,suchassignalprocessingand pattern[2].ThestabilityanalysisoftheDTCNNhas beenanimportanttopicintheneuralnetworksfield sinceithasgreatsignificancef…     

A study of quasicrystal structure factors by using quantitative CBED

The procedure of simulating convergent beam electron diffraction (CBED) pattern of quasicrystals by dynamical theory is described. The simulated patterns are generally coincide with the experimental patterns. The variations of intensity distribution in CBED pattern with the amplitude and phase of the structure factor of quasicrystal are calculated with dynamical theory. The sensitivity of intensity distribution to the structure factor is investigated. Foundation item: Supported by the National Natural Science Foundation of China (59871034) Biography: Zhao Chun (1974-), female, Master candidate. Research direction: diffraction physics.     

L1[a,b]中依测度收敛的Opial性质及端点

依测度收敛的Opial性质是Banach空间的重要性质,而端点对于几何性质的讨论起着重要作用.给出了L1[a,b]函数空间中的依测度收敛的Opial性质的等价描述及端点的判别准则.     

拟一致收敛函数列的几个性质

给出拟一致收敛函数的定义，再讨论它与［１］中的几乎处处收敛和依测度收敛的关系。