查询词典 linear operator

In the Gaussian sum filter-Kalman filter algorithm, the conditional linear state equation is first inserted into the measurement equation, which fuses the linear State process noise and the original measurement noise. And the GSF is applied to the new measurement and nonlinear state equations to estimate the nonlinear states. Then the estimations of the nonlinear states are inserted into the linear state equation and the original measurement equation to estimate the linear states by the KF.

算法将模型中的条件线性状态方程代入观测方程，并融合线性状态的过程噪声和观测噪声，再与非线性状态方程联立，由高斯和滤波器(Gaussian sum filter， GSF)获得非线性状态的估计；然后将估计值代入线性状态方程与观测方程，由卡尔受滤波器(Kalman Filter， KF)获得线性状态的估计。

The characters of linear complexity profile of periodic sequences are investigat- ed. The relation between the continued fraction expansion of rational function and its 1- inear complexity profile is established. The expression of linear complexity profite is gi-~~en and a condition estimating the randomness of a sequence is presented. By the linear complexity profile, the bound of sphere complexity is proposed. A formula to record the number of sequences with given linear complexity profile is presented.

研究了周期序列的线性复杂度曲线特性，在周期序列生成函数的连分式展开式与线性复杂度曲线之间建立联系，给出了周期序列线性复杂度曲线的表达式；给出了判断序列随机性好坏的一个条件；利用线性复杂度曲线特性给出周期序列球体复杂度的一个估计；给出了具有给定线性复杂度曲线的序列个数的一个计数公式。

It Includes Determinant, Datrix and its Operations, the Elementary Transformation of Matrix and Linear Equations, Vector Group's linear, Similar Matrix and the Second Type, Linear Space and Linear Transformation.

内容包括行列式，矩阵及其运算，矩阵的初等变换与线性方程组，向量组的线性相关性，相似矩阵及二次型，线性空间和线性变换等。

Firstly, based on the stability criterion for the nominal discrete singular time-delay system, a sufficient condition for the existence of the static output feedback controller in terms of linear matrix inequality with linear matrix equality constraint is established, which ensures that the resulting closed-loop system is regular, causal and robustly asymptotically stable, and the static output feedback controller is designed by the feasible solution of the linear matrix inequality with linear matrix equality constraint.

首先基于标称离散广义时滞系统的稳定条件，以受限线性矩阵不等式形式，得到闭环离散广义时滞系统正则、因果且渐近稳定的充分条件，同时利用受限矩阵不等式的可行解给出静态输出反馈控制器的设计方法；然后采用矩阵的正交补，把求受限线性矩阵不等式的可行解问题转化为求严格线性矩阵不等式的可行解；最后的数值实例说明了所给方法的有效性和正确性。

In the fourth chapter, we discussion the characterization of admissible in the general linear model under equality constraint and inequality constraint, we give the necessary and sufficient condition that homogeneous linear estimator is admissible estimator, and by using the relationship between homogeneous and inhomogeneous linear estimator, we obtain the characterization of admissible inhomogeneous linear estimator.

第四章分别在带等式约束条件以及不等式约束条件下，讨论了一般线性模型线性估计的可容许性特征，给出了在约束条件下齐次线性估计为可容许估计的充分必要条件，同时利用齐次线性估计与非齐次线性估计之间的关系，把齐次线性估计的可容许性特征推广到了非齐次线性估计的可容许性特征。

This dissertation investigates the construction of pseudo-random sequences (pseudo-random numbers) from elliptic curves and mainly analyzes their cryptographic properties by using exponential sums over rational points along elliptic curves. The main results are as follows:(1) The uniform distribution of the elliptic curve linear congruential generator is discussed and the lower bound of its nonlinear complexity is given.(2) Two large families of binary sequences are constructed from elliptic curves. The well distribution measure and the correlation measure of order k of the resulting sequences are studied. The results indicate that they are "good" binary sequences which give a positive answer to a conjecture proposed by Goubin et al.(3) A kind of binary sequences from an elliptic curve and its twisted curves over a prime field F_p. The length of the sequences is 4p. The "1" and "0" occur almost the same times. The linear complexity is at least one-fourth the period.(4) The exponential sums over rational points along elliptic curves over ring Z_ are estimated and are used to estimate the well distribution measure and the correlation measure of order k of a family of binary sequences from elliptic curves over ring Z_.(5) The correlation of the elliptic curve power number generator is given. It is proved that the sequences produced by the elliptic curve quadratic generator are asymptotically uniformly distributed.(6) The uniform distribution of the elliptic curve subset sum generator is considered.(7) We apply the linear feedback shift register over elliptic curves to produce sequences with long periods. The distribution and the linear complexity of the resulting sequences are also considered.

本文研究利用椭圆曲线构造的伪随机序列，主要利用有限域上椭圆曲线有理点群的指数和估计讨论椭圆曲线序列的密码性质——分布、相关性、线性复杂度等，得到如下主要结果：(1)系统讨论椭圆曲线-线性同余序列的一致分布性质，即该类序列是渐近一致分布的，并给出了它的非线性复杂度下界；(2)讨论两类由椭圆曲线构造的二元序列的"良性"分布与高阶相关性(correlation of order κ)，这两类序列具有"优"的密码性质，也正面回答了Goubin等提出的公开问题；(3)利用椭圆曲线及其挠曲线构造一类二元序列，其周期为4p(其中椭圆曲线定义在有限域F_p上)，0-1分布基本平衡，线性复杂度至少为周期的四分之一；(4)讨论了剩余类环Z_上的椭圆曲线的有理点的分布估计，并用于分析一类由剩余类环Z_上椭圆曲线构造的二元序列的伪随机性；(5)讨论椭圆曲线-幂生成器序列的相关性及椭圆曲线-二次生成器序列的一致分布；(6)讨论椭圆曲线-子集和序列的一致分布；(7)讨论椭圆曲线上的线性反馈移位寄存器序列的分布，线性复杂度等性质。

We presents an accurate F method based on corresponding point adjustment.The method adjusts coresponding points according to the fixedness of projective transformed cross ratio,then calculates F matrix accurately through linear and non-linear methods. When computing intrinsic parameter,A matrix,we simplify the step,and stress on the two important parameters of A.The result will be getten through solving Kruppa equation based on SVD decomposition.In order to compute extrinsic parameters,we use linear method to get initial R and t,then apply non-linear method to accurate them.

提出了基于匹配点调整的F求精方法，先根据摄影交比不见性对手工选择的匹配点进行调整，再用线性、非线性结合的方法求精F矩阵；在计算内部参数A中，进行了一定的简化，把重心放在A中重要的两个参数上，用SVD分解法计算Kruppa方程；在计算外部参数时，首先用线性法求解R、t，然后再用非线性法迭代求精。

In the self - calibration scheme , the thesis emphasizes the accuracy of camera intrinsic and extrinsic parameters . we presents an accurate f method based on corresponding point adjustment . the method adjusts coresponding points according to the fixedness of projective transformed cross ratio , then calculates f matrix accurately through linear and non - linear methods . when computing intrinsic parameter , a matrix , we simplify the step , and stress on the two important parameters of a . the result will be getten through solving kruppa equation based on svd decomposition . in order to compute extrinsic parameters , we use linear method to get initial r and t , then apply non - linear method to accurate them

提出了基于匹配点调整的f求精方法，先根据摄影交比不见性对手工选择的匹配点进行调整，再用线性、非线性结合的方法求精f矩阵；在计算内部参数a中，进行了一定的简化，把重心放在a中重要的两个参数上，用svd分解法计算kruppa方程；在计算外部参数时，首先用线性法求解r、 t ，然后再用非线性法迭代求精。

With the demonstration and definition of the linear thinking ,the text makes an analysis ,contrast and generalization of the feature of both western and eastear linear thinking ,giving a more incorporative theoretive framework of the terminology ,on the basis of which a further analysis and study of the linear tructure capability latent in the music movement is carried out in this way of new linear thinking and the theoretic techniques included inside ,and meanwhile the characteristic as well as the impplication of this concept is also tested.

本文写作从对"线性思维"这一理论概念的界定与论证入手，对中西"线性思维"特征进行了分析、比较与整合后，以一个涵盖更加宽泛的理论框架将这一专业词汇的性质确定下来；并在此基础上，本文运用这种"新线性思维"观念以及它所包含的理论技术法则对音乐运动中隐含的"线性结构力"进行分析和研究，不仅对这一概念的性质进行了检验，而且论证它的普适性。

In order to obtain more general solution of second order linear differential equation with constant coefficients, which is important in theory and practice, on the basis of knowing a special of the second order linear differential equation with constant coefficients and by using the method of variation of constant, the second order linear differential equation with constant coefficients is transferred to the reduced differential equation and a general formula of the second order linear differential equation with constant coefficients is derived.

为了更多地得到理论上和应用上占有重要地位的二阶常系数线性非齐次微分方程的通解，这里使用常数变易法，在先求得二阶常系数线性齐次微分方程一个特解的情况下，将二阶常系数线性非齐次微分方程转化为可降阶的微分方程，从而给出了一种运算量较小的二阶常系数线性非齐次微分方程通解的一般公式，并且将通解公式进行了推广，实例证明该方法是可行的。

Researches reveal that students who suffer from corporal punishment tend to resort to violence in their future life.

研究表明遭受过肉体惩罚的孩子倾向于在他们今后的人生中使用暴力。

Total sugar of sarcocarp and chlorophyll of pericarp increased firstly, and then decreased afterward along with altitude; Titratable acidity, ascorbicacid and anthocyanin of pericarp were increased along with altitude; The content of protein increased firstly and decreased afterward along with altitude; Carotenoid of pericarp were decreased along with altitude.

果肉总糖和果皮叶绿素含量随海拔高度升高先升高后降低；可滴定酸、维生素C和果皮花青苷含量均随海拔升高而升高；蛋白质在1720m处最大，1420m处最小；果皮类胡萝卜素随海拔升高而降低。