查询词典 linear algebra

This paper discussed the matrix of elementary transformation in the higher elementary algebra linear algebra and number theory in wide use.

本论文主要讨论了矩阵的初等变换在高等代数线性代数以及初等数论中的广泛运用。

This paper focuses on a matrix of elementary transformation in higher algebra, linear algebra and number theory in the elementary extensive use.

本论文主要论述了矩阵的初等变换在高等代数、线性代数以及初等数论中的广泛运用。

He has been working on the teaching of Higher Mathematics, Linear Algebra, Probability Statistics, Higher Algebra, Matrix Theory, Mathematical Statistics, and Stochastic Process, etc.

从事高等数学、线性代数、概率统计、高等代数、矩阵理论、数理统计、随机过程等课程。

A photoresist composition including a polymer is disclosed, wherein the polymer includes at least one monomer having the formula: wherein, R1 is selected from H, linear, branched or circular alkyl with 1-20 carton atoms, linear, branched or circular alkyl with 1-20 C atom, which is perfluorinated or semi-perfluorinated; and CN; R2 is alicyclic group with 5 or more carbon atoms; X is selected from methylene, aether, ester, amide and the connecting part of the carbonate; R3 is linear or branched alkylene with one or more carbon atoms or perfluorinated or semi-perfluorinated linear or branched alkylene; R4 is selected from H, CH3, CF3, CHF2, CH2F and perfluorinated or semi-perfluorinated aliphatic group; R5 is selected from the CF3, CHF2, CH2F and perfluorinated or semi-perfluorinated substituted and unsubstituted aliphatic group; n is 1 or higher integer; OR12 is OH or at least an acid unstable group selected from the tert-alkyl carbonate, tert-alkyl ester, tert-alkyl aether, acetal and ketal.

本发明公开了一种包含一种聚合物的光刻胶组合物，该聚合物包括至少一种具有下列结构的单体：其中，R 1 选自氢、具有1～20个碳原子的线形、支化或环状烷基、半氟化或全氟化的具有1～20个碳原子的线形、支化或环状烷基、以及CN；R 2 为具有5个或更多个碳原子的脂环基团；X为选自亚甲基、醚、酯、酰胺和碳酸酯的连接部分；R 3 为具有1个或多个碳原子的线形或支化亚烷基或者半氟化或全氟化的线形或支化亚烷基；R 4 选自氢、甲基(CH 3 )、三氟甲基(CF 3 )、二氟甲基(CHF 2 )、氟代甲基(CH 2 F)、以及半氟化或全氟化的脂族基团；R 5 选自三氟甲基(CF 3 )、二氟甲基(CHF 2 )、氟代甲基(CH 2 F)、以及半氟化或全氟化的取代或未取代的脂族基团；n为1或更大的整数；OR 12 为OH或者选自叔烷基碳酸酯、叔烷基酯、叔烷基醚、缩醛和缩酮的至少一种酸不稳定基团。

In this paper, we study characterizations of admissible in the general linear model Y, Xβ,ε|ε～(0,σ~2∑. We demonstrate that an admissible linear estimator is as the conditional generalized ridge-type estimation in the no constraint, equality constraint, inequality constraint general linear model. We study the superiority of this conditional generalized ridge-type estimation, and prove that it is superior to the restricted best linear unbiased estimator in terms of mean squares. We also give the choice of the matrix K.

本文主要研究了一般线性模型Y，Xβ，ε|ε～(0，σ~2∑中参数估计的可容许性特征，得到了一般线性模型在无约束，有等式约束及有不等式约束下，可容许线性估计均具有条件广义岭估计的形式的结论，并且讨论了这一条件广义岭估计的优良性，证明了其在均方误差和均方误差矩阵意义下都优于约束最小二乘估计，给出了参数矩阵K的选取方法。

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。

Looking to bounce back from defeat against Cesena last weekend, the Calabrian boss will be sticking to his tried and tested 4-3-3, with Lopez and Sedivic joined up front in Giampaolo's absence by either Nanni or Plasmati.

鉴于上周末对切塞纳的比赛中反败为胜，这支南方球队将会更坚持其一贯而有效的4-3-3阵型，洛佩斯和塞德维奇将取代受伤缺席的詹保罗，和纳尼或者帕斯马蒂中的一个搭档锋线。

Meanwhile, their exposure to the more freewheeling ways of the West broadened dramatically.

另外，西方较自由的生活方式对年轻人的影响增大。