基于F-B函数的牛顿法解一般约束优化规划问题

文章给出了一个解决一般约束最优化问题的含调节参数型的牛顿算法.算法有两个重要特征,首先,算法借助Lagrange函数和NcP中的F-B函数,通过构造等价于点条件的线性方程组采处理一般约束优化问题,其次,利用F-B函数的光滑性质,定义了调节参数,从而弱化了K-T点条件.文章在适当的条件下,证明了该算法具有全局收敛性.数值实验表明算法有效.     

均值不等式的推广及应用

本文对均值不等式在指数方面作了推广,并举例说明本文的推广拓宽了均值不等式的应用,使一些问题简化.     

浅议直观及其在认知中的作用

近代西方哲学的奠基人笛卡尔提出获得真理的两种途径：一是通过直观，二是通过演绎。直观是用心灵去体验当下，而不是用语言去演绎，是心灵对存在当下认知的方式和能力。在静、空中，超越语言文字的层面上去直观，能够获得关于存在的真知。     

关于点变差函数的某些性质

设ｆ（ｘ）为定义于区间Ⅰ（有限或无限）上的有限实函数。任给实数δ＞０，ｘ∈０，∈Ｉ，Ｖ＾Ｘ＋δＸ－δ（ｆ）表示ｆ（ｘ）在［ｘ－δ，ｘ＋δ］上之全变差。     

On the sign of the optimal combining weights under the error-variance minimizing criterion

Building on the well-known measure of the optimal combining weights under the error-variance minimizing criterion, this note has extended the sign-determination rule to the case of combining more than two competing forecasts. The algebraic rule derived provides a quick way to check the sign of each combining weight without directly comparing the correlation and variances of individual forecasting errors.     

Failure of opioids to affect excitation and contraction in isolated ventricular heart muscle

Summary The opioid agonists morphine (selective for -receptors) and ethylketocyclazocine (selective for kappa-receptors), at concentrations evoking strong effects in neuronal structures, did not significantly affect the configuration of the intracellularly recorded action potential and the force of contraction in ventricular heart muscle isolated from guinea pigs, rabbits and man. These results suggest that any changes of heart functions in vivo in response to opioid-like drugs are probably not mediated postsynaptically at the myocardial cell membrane but rather presynaptically, influencing the release of noradrenaline and/or acetylcholine from the nerve terminals.     

Immunogenetics

Summary The 1985 Catalog of Mapped Genes (Human Gene Mapping 8; 33) has been used to pick out the known, immunologically important genes; these are then discussed in the following order: 1. genes controlling organs, tissues and cells of the immune apparatus, 2. genes determining self structures, 3. genes determining the structures of immunological specificity, 4. genes determining substances with immunoregulatory and effector properties. The symbols for the genes and the biological functions of their products are explained. The genetics of the ABO blood groups, of the HLA-system and of antibody formation are given in rather more detail.     

MD Method in Solving Multiple Criteria Decision Problems Arising from Investment Systems

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二元矩阵值分叉连分式插值的矩阵算法

本文给出了一个计算二元矩阵分叉连分式插值的系数算法以及与此算法等价的矩阵算法,这种算法是用矩阵广义逆意义下定义的矩阵行、列初等变换而给出的．     

Solutions of Two-point BVP in Banach Spaces

IntroductionGuoetal.[1]discussedthetwo-pointboundaryvalueproblem(BVP)forordinarydifferentialequationsinBanachspaces,-u″=f(t,u),　t∈I=[0,1]u(0)=u(1)=0andgavesomeconclusions.Usingthemonotoneiterationtechnique,SongFumindiscussedthesameBVP[1]andshoweditsmaximalandminimalsolutions[2].Inmoregeneralboundaryvaluecondi-tions,GuoandSun[3]discussedBVPinreflexiveBanachspacesandmadeseveralconclusions.InthisworkthefollowingBVPinrealBanachspace,E,isconsidered.Lu(-p(t)u′)′ q(t)u=f(t,u),B0uau(0)-…