查询词典 ordered linear space

In Chapter Three, we use the method of interpolation spline of differential operater to come up with the reproducing kernel in H01 with respect to bounded linear operator in H10. Then we use the reproducing kernel to develop the expression of the best approximating of bounded linear operator in H10 and prove its convergence.

第三章中，对于H_0~1中的有界线性算子，用微分算子插值样条函数的方法给出了H_0~1空间中的再生核，利用此再生核给出了H_0~1上的有界线性算子的最佳逼近的表达形式，并证明了其收敛性。

Flowers usually subsessile, pedicels absent to 1(--2) mm, bract and bracteole borne on distal 1/2 of pedicel; perianth lobes linear-lanceolate or narrowly oblong-lanceolate to linear; capsule turbinate, oblong-obovoid, obovoid, or ovoid.

花通常近无柄，对1(-2)毫米，苞片和小苞片生于花梗的上部1/2的花梗无；花被裂片线状披针形或者披针形狭长圆形的到线形；蒴果陀螺状，长圆形，倒卵球形，或卵球形。

Moreover, if the optimization problem has certain special feature, the simpler relaxation methods can be provided. For example, considering a generalized geometric programming problem, relevant relaxation linear programming can be obtained using its special structure. Based on the branch and bound method, a linear relaxation algorithm of global optimization is presented for generalized geometric programming, and the convergence of the algorithm is also proven.

此外，当优化问题具有某种特殊性质时，我们能给出更加简便的松弛化方法，如考虑广义几何规划问题，能充分利用其特殊结构，建立了广义几何规划问题的松弛线性规划问题；在分枝定界技术的基础上，提出了一个求广义几何规划全局解的线性松弛算法；证明了算法的收敛性。

This course offers an introduction to primary convex analysis, linear programming, non-linear programming, dynamic programming, multi-objective programming, multi-level programming, calculus of variations, and optimal control, which are the optimization methods commonly used in economics and finance.

课程内容简介：本课程介绍凸分析基础、线性规划、非线性规划、动态规划、多目标规划、多层规划、变分法、最优控制，这些都是西方经济学、金融学中常用的最优化方法。

In Chapter 3, the generalized skew-symmetric solutions of the matrix equation A~TXA = B on the linear manifold S ={X e GKSR~|||XY - Z}}= min, Y, Z∈ R~}, using the canonical correlation decomposition of a matrix pair, the necessary and sufficient conditions for the existence and the expressions for the generalized skew-symmetric solutions of matrix equation A~TXA — B on the linear manifold are established.

利用矩阵对的标准相关分解，给出了这类线性流形上矩阵方程A~TXA=B存在广义次对称解的充要条件及其通解表达式，并且导出了极小Frobenius范数广义次对称解的表达(来源：d7d7A7dBC论文网www.abclunwen.com)式。

Using a decomposition in canonical form, a multi-sensor distributed optimal fusion reduced-order filter for each state component is proposed based on the component fusion algorithm weighted by scalars in the linear minimum variance sense for descriptor discrete stochastic linear systems with multiple sensors. It requires in parallel the calculating of a series of scalar weights.

对带多个传感器广义离散随机线性系统，利用典范型分解，基于线性最小方差各分量按标量加权融合算法，给出了多传感器分布式最优分量融合降阶滤波器，它要求并行计算一系列标量权重。

In Chapter 5, the least-squares solutions bisymmetric matrix set of the matrix equation ATXA = B on two linear manifolds Si ={X BSRnxn\\\XY - Z\\ = min} and S2 ={X BSRnXn\XY = Z, YtTZi = ZjYu ZtffYi = Zi,i = 1,2, Y, Z e Rnxm}, by applying the singular value decomposition of matrix and the canonical correlation decomposition of matrix pairs, we obtain a general expression of the least-squares solutions of the matrix equation ATXA = B on two linear manifolds.

在第五章，我们研究了两类线性流形S_1={X∈BSR~|‖XY-Z‖=min}和S_2={X∈BSR~|XY=Z，Y_i~TZ_i=Z_i~TY_i，Z_iY_i+Y_i=Z_i，i=1，2，Y，Z∈R~}上矩阵方程A~TXA=B的双对称最小二乘解。

The results showed that there was power function relationship between the capillary water rise height and groundwater supply quantity and the time. There was linear function relationship between capillary water rise height and groundwater supply quantity and a power function between them and the time. There was linear function relationship between the capillary water rise velocity and the groundwater supply rate. Parameters could be calculated by measured data, which showed that it is possible to simulate capillary water rise process of homogeneous soil by Green-Ampt model.

结果表明：均质土毛管水上升高度和地下水补给量均与时间之间为幂函数关系，毛管水上升速度和地下水补给速率也均与时间呈幂函数关系，毛管水上升高度与地下水补给量之间呈明显的线性关系，毛管水上升速度与地下水补给速率也呈线性关系；通过试验资料可以推求有关参数；说明入渗条件下的Green-Ampt模型用于模拟均质土的毛管水上升过程是可行的。

The proof is given that the category of linear fuzzy neighborhood spaces in the sense of Katsaras is isomorphic to that of co-towers of topological vector spaces and the intersection of the category of linear fuzzy neighborhood spaces with the category of type fuzzy topological vector spaces is the extract category of induced fuzzy topological vector spaces.

证明了Katsaras的线性fuzzy邻域空间范畴与分明线性拓扑空间的余塔空间范畴同构，而Katsaras的线性fuzzy邻域空间范畴与型fuzzy拓扑线性空间范畴的交集恰为诱导的fuzzy拓扑线性空间范畴。

A new non-linear quadratic programming Bayesian prestack three-terms inversion method is developed; Firstly, this method is based on Bayesian parameter estimation theory, Gaussian distribution is used for likelihood function and modified Cauchy distribution is used for prior distribution; Secondly, covariance matrix is used to describe the degree of correlation between the parameters; rock physics relations are used to constrain the inversion results; at last, this method is transformed into non-linear quadratic programming problem, and inversion results are acquired under several constraints.

本文提出了一种基于非线性二次规划的叠前三参数反演方法。首先基于贝叶斯参数估计理论，假设似然函数服从高斯分布，并使待反演的参数服从于改进的Cauchy分布，从而提高了反演结果的分辨率；其次用协方差矩阵来描述参数间的相关程度，进一步提高了反演结果的稳定性；最后将问题转化为一个非线性二次规划的求解问题，并在多种约束下得到问题的解。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。