线性的

Automorphism group of a linear code is obtained with the help of the general linear group constructed by all invertible matrices, and it is illustrated by matrices generalized inverses.

给出了通过求解可逆矩阵构成的一般线性群，获得线性码的自同构群的方法，并利用矩阵广义逆理论，对线性码的自同构群进行进一步刻划。

A costate prediction method based on bilinear model is presented. Using simple general model, two implemental DISOPElike algorithms based on Hopfield network and on temporal decomposition method are proposed respectively.

同时对于具有终端状态等式约束问题，建立了基于时变线性模型的递推DISOPE算法；对于非齐次双线性二次型问题提出了一个迭代算法，并且给出了该算法收敛的充分条件；给出了基于双线性模型的协状态预测算法；利用一般模型，分别提出了基于Hopfield网络和时间分解方法的DISOPE算法。

The concept of linear manifold has an important meaning for understanding the linear space and system of linear.

线性流行的概念对理解线性空间以及线性方程组的解的结构具有重要意义。

The second order mathematical models of inverted pendulum system are expatiated in this paper based on the theory of LQOC(Linear Quadratic Optimal Control), LQY(Linear-Quadratic Yield) controller and LQR(Linear-Quadratic Regulator) are designed to make the inverted pendulum system closed loop stable.

针对倒立摆的稳定控制问题，阐述了二阶倒立摆的数学模型，采用线性二次最优控制理论，设计了倒立摆控制系统的线性二次型调节器和线性二次型输出器，使倒立摆系统闭环稳定。

The multilinear component model (Chapter 2):In order to further understand the decomposition algorithms based on multilinear component model and the applications of these algorithms in practice, it is necessary to realize and explore the characteristics and advantages of multilinear decomposition algorithms.

多线性成分模型为了进一步理解基于多线性成分模型而提出的分解算法以及这些算法在实际中的应用，有必要对多线性成分模型的优势及特点进行阐述和探索。

Ects, the covariance matrix of observation vector has special structure,and using the linear transformation for original model by idempotent matricesin the spectral decomposition of the covariance matrix, the problem of estima-tion of the covariance matrix becomes simultaneous estimation of all the distincteigenvalues of it.

在带有随机回归系数的一般线性模型中，首次提出了随机回归系数和参数的Minimax估计问题，分别在齐次线性估计类和一切估计类中研究了一个线性估计的Minimax性。

N-soliton solutions is constructed in the terms of Wronskian and is verified by direct substitution to satisfy the bilinear equation and the associated B〓cklund transformation respectively.

得到了该方程的双线性形式以及B〓cklund变换的双线性形式及普通形式；构造了该方程Wronskian形式下的孤子解，并从双线性方程和双线性B〓cklund变换两个角度对解进行了直接验证。

Firsdy, using the linear matrix inequality method and the concept of finite-time boundness, some sufficient conditions of finite-time boundedness for the linear discrete systems with uncertain exogenous disturbance were derived.

针对一类不确定线性离散系统有限时间观测器最优设计问题，利用线性矩阵不等式方法以及有限时间有界的概念，给出了具有不确定外部扰动输入的线性离散系统有限时间有界的充分条件。

One-dimensional linear projection methods includes Eigenface method and Fisherface method and so on.Two-dimensional linear projection methods includes two-dimensional principal component analysis and two-dimensional linear discriminant analysis,as well as a series of their expanded methods and so on.

其中，基于一维线性投影的方法包括特征脸方法和Fisher脸方法等；基于二维线性投影的方法包括二维主成分分析和二维线性判别分析，以及它们的一系列拓展算法等。

Considering there are four output channels in the CCD, the diamond linear array model is replaced with a new two-angle tree linear array in order to improve the performance of the wave-front processor. This change was successfully proved in the 127-element Adaptive optical system and a speed up near the theory limitation is achieved also.

本文第六章利用菱形线性阵列结构设计了波前处理机的硬件平台，并针对光电探测器多通道输出的特点，将菱形线性阵列改进成二叉树线性阵列并成功运用在127单元自适应光学系统中，取得了接近理论极限的加速比。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。