线性的

This paper presents an improved method that uses the orthogonal least square algorithm to estimate both the structure and the parameters in the linear models from linearizing locally the whole nonlinear space.

本文在对非线性空间进行局部线性化的基础上，采用正交最小二乘方法对线性模型同时进行结构选择与参数辨识，改善了数值的病态特性，增强了算法的稳定性。

First, we give the relation of Birkhoff orthogonality and functionals in Banach space, then use functionals as a tool to investigate the relations of Birkhoff orthogonality and underling Banach space.

首先，建立了Banach空间中两个元素的Birkhoff正交性和线性泛函的关系，然后以线性泛函为主要工具，讨论了Birkhoff正交性和Banach空间结构的关系。

Based on a general parametric eigenstructure assignment result proposed for descriptor linear systems via proportional plus partial derivative state feedback and a result for generalized eigenvalue sensitivity problem of matrix pairs, parametric representation of the closed-loop eigenvalue sensitivities to the perturbed elements in the open-loop system matrices is obtained. An effective algorithm for eigenvalue assignment with minimum sensitivity in descriptor linear systems via proportional plus partial derivative state feedback is then proposed.

摘要基于广义线性系统比例与部分状态导数反馈参数化特征结构配置结果和矩阵对广义特征值灵敏度结果，得到了关于开环系统矩阵中摄动元素的闭环特征值灵敏度的参数表达式，并在此基础上提出了广义线性系统比例与部分状态导数反馈最小灵敏度特征值配置的有效算法。

The studies about the periodicity and stability is of basic requirement for the verification and the design of hybrid control system.

研究了线性切换系统的周期性和稳定性规律，给出线性切换系统周期性的充要条件及平稳性的充分性判据。

For the low linear saturation threshold of photoelectric detector,a new and reliable method used in diagnostic system is introduced to attenuate high energy laser power density using multilayer dielectric coating.

针对环形光刀取样式高能激光束在线测量系统应用中光电探测器线性饱和功率密度低而被测高能激光功率密度高的特点，采用对取样激光扩束和介质膜衰减片级联衰减的方式，实现了数千倍的线性光强衰减。

Finite element methods are analyzed, where the stress is approximated by the discontinuous Raviart-Thomas element of lowestorder,and the velocity by the piecewise constant element,and the Lagranian multiplier by the trace space of the piecewise continuous linear element.

然后发展其有限元方法：对应四变量分别用间断型Raviart-Thomas最低阶元，分片常数元，连续线性元和连续线性元的迹空间，我们获得了稳定性和最优误差界，通过后处理办法，我们得到一个适合于计算的速度-压力格式，该格式可视为"mini"元方法的一个变形（本文格式中引用了局部投影算子）。

An efficent piecewise linear function model is presented, it can be used to analyze chaotic circuits with piecewise linear elements by the general circuit program PSPICE.

本文提出了一种用通用电路分析程序PSPICE对含分段线性元件的混沌电路的模拟方法，采用有效的分段线性函数模型对动态混沌电路进行分析。

The study of the stock price fluctuation law and its prediction is a veryimportant issue for many scholars.

分形理论是非线性科学研究中十分活跃的一个分支，它的研究对象是非线性系统中不光滑和不规则的几何体。

A novel evolution algorithm with select-best and prepotency operator, named as select-best and prepotency evolution algorithm, was proposed.

提出一种寻优性能良好的优选优生进化算法，该方法与实数编码、线性交叉的遗传算法相比，计算复杂性低，离线性能和在线性能都有较大的改进，全局寻优能力明显提高。

Linear preserver problems is to study the linear maps leaving some properties of elements in algebras invariant.

算子代数上的线性保持问题是研究保持算子代数中元素的某种特征不变的线性映射。

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。