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By the modem time series analysis method, based on the ARMA innovation model, under the linear minimum variance optimal information fusion criterion, three distributed fusion steady-state optimal Kalman filters, predictors and smoothers weighted by matrices, scalars, and diagonal matrices are presented for multisensor systems with correlated input and observation noises, and with correlated observation noises. The Lyapunov equations and formulas of computing local filtering, predicting and smoothing error variances and covariances are given, which are applied to compute optimal weights. The corresponding three distributed fusion Wiener state estimators are also presented.

应用现代时间序列分析方法,基于自回归滑动平均新息模型,在线性最小方差最优信息融合准则下,对于带相关输入噪声和观测噪声和带相关的观测噪声的多传感器系统,提出了按矩阵加权、按标量加权和按对角阵加权的三种分布式融合稳态Kalman滤波器、预报器和平滑器,其中提出了局部滤波、预报和平滑估值误差方差阵和协方差阵的Lyapunov方程和计算公式,它们被用于计算最优加权,也提出了相应的三种分布式融合Wiener状念估值器。

Method] 5 matrices: M1(50% peat + 50% perlite),M2(40% peat + 60% perlite),M3(50% peat + 50% chestnut soil),M4(40% peat + 60% chestnut soil) and M5(100% peat) used for Euonymus fortunei cutting in container were tested and the effect of the different matrices on the rate of callus induction and root growth,the length and number of root,and the growth amount of Euonymus fortunei was investigated.[Results] The results showed that the best effect on Euonymus fortunei cutting was from the M1,in which,the rate of root growth,callus induction,the length of root and the number of new branch were 87%,88%,68.0 mm and 4.6 branches,respectively.

方法] 采用5种基质配比,分别为M1(50%泥炭+50%珍珠岩)、M2(40%泥炭+60%珍珠岩)、M3(50%泥炭+50%栗钙土)、M4(40%泥炭+60%栗钙土)、M5(100%泥炭)对扶芳藤进行容器扦插育苗试验,对不同基质引起的扶芳藤愈伤率、生根率、根长、单株根系数目、新生枝数及新生枝生长量进行调查分析,[结果]结果表明,基质M1中扦插的扶芳藤生根率、愈伤率最高,分别为87%和88%;根长最长,为68.0 mm;平均新生枝数最多,为4.6条,效果最佳。

First, based on the relations of stress and strain between the whole medium and its macroscopically isotropic constituents, an explicit relation between elastic matrices of the whole medium and its constituents was derived. Combining the explicit relation of elastic matrices with the strain's relation, two coefficient tensors were defined and analyzed to get a general relation between the hulk and shear modulus of the whole medium under the assumption that all the field variables are in a unified coordinate system. Secondly, combining these relations with the classical Hashin-Shtrikman elastic modulus bounds, four new expressions of elastic medium of the whole medium were obtained and compared with the original hounds. Last, these formulae were applied in the computation of effective elastic moduli of clean sandstone saturated with pore water.

首先基于整体介质与宏观各向同性组分满足的应力和应变组分关系,推导出整体介质弹性矩阵与组分弹性矩阵之间的显式关系,联合其应变关系,定义和分析了对应的两个系数张童,并据此导出了相关场变量位于统一坐标系时整体介质体积模量与剪切模量的关系;然后将经典的Hashin-Shtrikman弹性模量边界模型与上述关系式结合,得到4个新的整体介质弹性模量的估算公式,再与原始的Hashin-Shtrikman弹性模量边界进行了比较,最后针对饱和水纯净砂岩介质进行了试算。

In the construction of grey pairwise comparison matrices, we propose three approaches, namely, to apply (1) the reciprocals,(2) the upper and lower bounds, and (3) the grey operators of the upper triangular matrices as the lower triangular elements.

结果显示以灰元素及其倒数建构灰成对比较矩阵时,层级要素相对重要性程度之排序结果,与经由分析阶层程序法所得之排序结果相近;但由灰元素之上下限构成灰成对比较矩阵所得的结果,则与经由分析阶层程序法所得之排序结果差异极大。

Design changes can then be reduced to strengthen the production capability as well as further enhance product quality. The research is focused on the products of DC Power Supply. We first establish the relationship matrices among Functional Requirements, Design Parameters and Process Variables by applying the concept of product domain mapping. Secondly, we study the PFMEA of power supply and use these matrices in reverse to systematically obtain the related values between failure modes and PVs, DPs, or FRs.

本研究以直流电源供应器系列为研究对象,希望藉由系统化与量化的方式,从PFMEA失效因素的资讯,运用公理设计的观念,来探讨攸关品质要求在产品设计上的因子;首先我们应用产品领域间对应的观念建立功能需求、设计参数与制程变数之间关联矩阵,其次,研究电源供应器的PFMEA,并反向运用上述关联矩阵来系统化得到失效模式与功能需求、设计参数或是制程变数间的关联值。

If Z is a torsion-free abelian group, then the matrices of L relative to a suitable homogeneous basis of V are uppertriangular.

如果Z是挠自由的群,那么,在V内可选取一组齐次元素组成的基,使得L的矩阵是上三角的。

A modified mutation operator in BCA, Contiguous Region Hypermutation Operator, was introduced; a Markov chain model of the BCA was proposed; a novel method for the construction of transition matrices for the BCA was given. Consequently, it was proved that the BCA was convergent absolutely.

给出了在BCA中使用的一种变异算子-连续区域超体变异算子和BCA的Markov链模型,提出了一个新的构造算法的状态跃迁矩阵的方法,证明了BCA的绝对收敛性。

Finite groups of matrices appear early as examples in a first course in abstract algebra, and most of the time these examples are given with integral entries.

矩阵的有限群作为例子最早出现在抽象代数的第一章,通常这些例子中的元素都是以整数元素的形式给出。

In addition,two recurrent formulas are derived which pronide a mathematical approach to the calculations of the elements of the transformation matrices.

本文还讨论了B样条基转换矩阵在CAGD中的应用,特别讨论了B样条曲线的节点插入、升阶和分解问题。

Using a prime m-dyadic additive group ,a expansive method of matrix with orthogonal rows is presented.By means of this method a series of extensional matrices may be obtained.

利用m-并元加性群,本文提出了行正交矩阵的一种扩大法,利用这种扩大法可以得到一系列延续矩阵。

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