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The authors studied carefully two numerical differential methods, finite difference method and rational polynomial technique, and pointed that FDM is the special ease of RPT when the limit state function is linear. Accordingly, FDM3 can be used for the continuous linear limit state function and RPT5 for the continuous nonlinear limit state function. For the discontinuous limit state function, RPT should be used because of the large error of FDM.

对于可靠度分析中常用的有限差分法及有理多项式法这两种数值微分方法，本文详细研究了二者间的异同及其求导结果与步长的关系，指出了对于相同的步长控制系数及取样方式，FDM是RPT在线性情况下的特例；对于连续的线性功能函数，可直接用3点FDM求导；对于连续的非线性功能函数，可用5点RPT求导；对于非连续的功能函数，应采用RPT求导。

In the case of the iterative learning control for linear continuous system with the initial error, a kind of ILC approach with compensation to the initial error is presented using the theory of the two dimensional (2 D) linear continuous discrete system.

针对线性连续系统迭代学习控制中含有固定初始误差的情形，利用二维系统理论给出了一种带有初始误差修正的迭代学习控制方案和这种迭代学习控制规律收敛的条件，并说明由此设计的迭代学习控制器简单有效，可实现在初始时间段以外部分对期望轨迹的完全跟踪。

Linear Discriminant Analysis is one of the most popular linear classification techniques for feature extraction.

线性判别分析是一种较为普遍的用于特征提取的线性分类方法。

Linear discriminant analysis is one of the most popular linear projection techniques for feature extraction.

线性判别分析是一种常用的线性特征提取方法。

Concerning the distortionless linear transmission system,a new method-SSPD was put forward,which implements the precise time delay through a linear shift invariable system with unit impulse response symmetry.

从无失真线性传输系统的角度，提出了基于具有对称特性的单位冲击响应的线性移不变系统实现精确时延的方法——SSPD。

The test shows that the device can adapt the driftage of whole linear operation section and the driftage of center of linear operation section, the output signal has a noisy tolerance as digital circuits. self-adapted angle ; displacement ; data conversion ; MCU

本文设计的自适应角度位移传感变送器在使用中可以自动适应各种变化因数，能够直接对传感器的输出信号进行A/D转换从而有效地解决上述问题。1角度位移传感器以型号为CP-2U T(2U)的磁敏角度位移传感器为例，转轴的旋转范围

Fuzzy set;; Fuzzy number;; Fuzzy linear programming with elastic constrains;; Linear programming with coefficients;; Centroid point of fuzzy number;; Dual problem

论文导师刘琼荪，论文学位硕士，论文专业应用数学论文单位重庆大学，点击次数 29，论文页数 59页File Size553K

Teach linear programming: Graphical illustrations, Simplex method, dual and sensitivity analysis, piecewise linear programming, integer programming, and other techniques applications to energy and environmental systems

C43介绍线性规划：图解法，简易法，敏感度分析，整数规划，其他方法，及在环境工程及能源系统上之应用

Based on the duality theorem of linear programming, the directional derivatives of the objective function can be expressed as a linear programming which is very important in the practical calculation for nonmono tone line search subproblems.

基于线性规划的对偶定理，目标函数的方向导数可以表示成线性规划问题，这在实际计算非单调线搜索子问题时是非常重要的。

For example,a generalization of linear algebra is developed in which "convex bifunctions" are the analogues of linear transformations,and "inner products" of convex sets and functions are defined in terms of the extremal values in Fenchel's Duality Theorem.

例如，一类线性代数的推广形式在凸双重函数中发展起来，而凸双重函数是线性变换的类似情况，凸集和凸函数的内积是根据 Fenchel 对偶理论的极值定义的。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。