On error operators related to the arbitrary functions principle

The error on a real quantity Y due to the graduation of the measuring instrument may be asymptotically represented, when the graduation is regular and fines down, by a Dirichlet form on R whose square field operator does not depend on the probability law of Y as soon as this law possesses a continuous density. This feature is related to the “arbitrary functions principle” (Poincaré, Hopf). We give extensions of this property to Rd and to the Wiener space for some approximations of the Brownian motion. This gives new approximations of the Ornstein-Uhlenbeck gradient. These results apply to the discretization of some stochastic differential equations encountered in mechanics.     

Representations, convolution square roots and spherical vectors

We extend results on square integrable representations of a locally compact group to subrepresentations of a representations induced from a character of a closed subgroup. We do so working in the framework of quotient representations of ∗-algebras.     

矩阵的多行拟相合分类及其应用

本文把方阵的拟相合概念推广为长方阵的多行拟相合概念，并对最简情形即Ｍ２，４（Ｆｐ）给出分类结果．此概念之一应用出现在有限环的同构分类之中．     

Synthesis and electrochemical characterisation of a near infrared absorbing oxo vanadium(IV) octapentylthio-phthalocyanine

The synthesis of an α-substituted phthalocyanine oxo vanadium(IV) 1,4,8,11,15,18,22,25-octapentathiophthalocyanine (4) which absorbs at 850 nm in dichloromethane is reported. The complex is purple in colour and becomes green on reduction. The cyclic and square wave voltammetries of the complex show five redox couples. The spectroelectrochemical data showed only ring based processes. The ring reduced species is observed at wavelengths greater than 680 nm rather than the usual 500–600 nm range typical of ring reduced phthalocyanine complexes.     

ON A CLASS OF SIMPLE TABLE ALGEBRAS

§1.ＩｎｔｒｏｄｕｃｔｉｏｎＺ.ＡｒａｄａｎｄＨ.Ｂｌａｕｉｎｔｒｏｄｕｃｅｄｉｎ[1]ｔｈｅｃｏｎｃｅｐｔｏｆｔａｂｌｅａｌｇｅｂｒａｓａｎｄｕｓｅｄｔｈｉｓｔｏｄｉｓｃｕｓｓｔｈｅｃｈａｒａｃｔｅｒａｌｇｅｂｒａａｎｄｔｈｅｃｅｎｔｒａｌｃｌａｓｓａｌｇｅｂｒａｏｆａｆｉｎｉｔｅｇｒｏｕｐｉｎａｕｎｉｆｏｒｍｗａｙ.ＴｈｉｓｉｄｅａｇｏｅｓｂａｃｋｔｏＩ.Ｓｃｈｕｒ.ＡｌｉｔｔｌｅｅｘｔｅｎｄｅｄｎｏｔｉｏｎｏｆＣ-ａｌｇｅｂｒａｆｏｒｅｓｈａｄｏｗｅｄｔｈｅｄｅｖｅｌｏｐｍｅｎｔｏｆｃｏｍｍｕｔａ…     

方差分析模型中参数的经验Bayes估计及其优良性问题

本文考虑单向分类的方差分析模型，构造了Ｐ′α的线性Ｂａｙｅｓ估计和经验Ｂａｙｅｓ（ＥＢ）估计，此处αａ×１是效应参数向量，Ｐａ×ｋ是常数矩阵．在较一般的条件下，基于均方误差矩阵准则和ＰｉｔｍａｎＣｌｏｓｅｎｅｓｓ准则，我们分别证明了ＥＢ估计优于最小二乘估计     

W空间中有界线性算子的最佳逼近及其应用

１．引言 对线性算子的有限秩算子逼近是最经典的问题．并且它的应用极广．如数值积分公式、函数的逼近、数值原函数、方程的数值解法等．１９８６年,在文［１］中,首次给出了在再生核空间中函数的最佳逼近算子（恒等算子的有限秩算子逼近）．之后;在文［２］中给出了数值原函数．又在文［３］、［５］、［６］等中利用有限秩算子逼近（并非是最佳逼近）给出了一些方程的数值解法．但这些讨论都是在一元函数空间上只对特殊算子进行的．１９９７年,虽然在文［４］中给出了完备的二元再生核空间及二元函数的最佳逼近插值算子．但是对多元…     

递推阻尼最小二乘法

递推最小二乘法是参数辨识中最常用的方法,但容易产生参数爆发现象,本文推导了一种更稳定的辨识方法－阻尼最小二乘法的递推求解算法。