判别分析

On the basis of the conclusion above, the nonlinear weak controllable vectors can be obtained, which compose the second class of weak controllable matrix, by means of matrix transfermations of the first class of weak controllable matrix. Furthmore the second criterion of weak controllability, accessibility and strong accessibility, which is more standard, more succinct and more practical, is obtained. On the basis of the first criterion and the second criterion, several important problems about nonlinear controllability are discussed, which include 1 local controllability; 2 three classes of local controllable decomposition, separately by means of local coordinate changes in the neighborhood of a nonsingular point, a point on a singular surface or a designated point x〓 with a designated input u〓; 3 the character of controllability of the ith state variable x〓 in different controllable areas and their boundaries.

在第一判别定理和第二判别定理的基础上，我们分析了非线性系统受控性质中的几个重要问题，所得到的结论包括i得到了非线性系统在可平衡点附近的能控性判别定理；ii分别给出了非线性系统在非奇异点、s阶奇面以及在状态空间内给定的一点x〓和输入u〓上的三种状态分解形式以及相应的求解方法；利用系统的Ⅰ型弱能控矩阵与Ⅱ型弱能控矩阵秩相等的条件，得到了只用系统的前n个弱能控向量来判断系统的弱能控性的判别定理；iii通过引入系统状态分量的三类受控区域边界的定义及相应的求解方法，初步探讨了非线性系统各个状态分量在不同的受控区域及其边界上的受控性质。

On the basis of dual feature identification method, combined with small wave analysis, it effectively extracts failure features, analyzes the stability power failure vibration signal feature on the general Fourier atlas, analyzes the shock power failure vibration signal feature on the resonance modulating Fourier atlas, using small wave to analyze the shock failure vibration signal feature.

是一种在"双特征判别法"的基础上，结合小波分析，有效提取故障特征，进行诊断的"三特征判别法"，所述的故障信号"三特征判别法"就是：在常规傅立叶谱图上分析平稳功率故障振动信号特征，在共振解调傅立叶谱图上分析冲击功率故障振动信号特征，利用小波分析冲击故障振动信号特征。

By means of traditional criterions of generalized integral's convergence and divergence, this paper, from the analysis of integrated function's nature, discovers a series of new criterions, which are briefer and more suitable: on the aspect of generalized integral for functions of a single variable, through the investigation of integrated function, together with the inner relationship between positive series and generalized integral in infinite interval under the condition of positive function, it gives several criterions of generalized integral's convergence and divergence, which are similar to positive series' criterions of convergence and divergence.

本文从分析被积函数本身所具的性质出发，借助传统的广义积分敛散性判别方法，发现1系列更简捷适用的新判别方法：单变量函数广义积分方面，通过考察被积函数，结合正项级数与正函数情形下无穷区间上广义积分的内在联系，给出了几个与正项级数敛散性判别法相类似的广义积分敛散性判别方法；多变量函数广义积分方面，着重讨论了广义2重积分和广义3重积分，结合被积函数的特点，运用比较判别法和柯西判别法，本文给出了判别广义2重积分收敛的1种新方法。

Both two methods have been used to find the regularity of the formation of ternary compounds in Me-Me'-X halide systems and the regularity has been used to predict the formation of ternary complex iodides in M-Eu-I system.

并分别运用人工神经网络和遗传算法研究了Me-Me'-X三元卤化物的形成规律，并以判别分析所得的结果预报了M-Eu-I体系的5个三元碘化物的形成情况。

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

线性判别分析是一种较为普遍的线性特征提取方法，它的主要缺点是在应用时经常遇到小样本问题，同时其准则函数并不与识别率直接相关。

Linear Discriminant Analysis is one of the most popular linear projection techniques for feature extraction. The major drawback of applying LDA is that it often encounters the Small Sample Size problem. Besides, their optimization criteria is not directly related to the classification accuracy.

摘要线性判别分析是一种较为普遍的线性特征提取方法，它的主要缺点是在应用时经常遇到小样本问题，同时其准则函数并不与识别率直接相关。

Brightness and grey level were also meased. analyzed and Stepwise discriminant analysis was made. The results showed that the differences of R. G. B and their coeffieients.

测试参数为红、绿、蓝三基包含量和R、G、B的三色系数，同时还测算了胞浆的色度、饱和度、亮度和灰度，并进行了逐步判别分析。

According to determined and analyzed of parameters of the wood transverse section micrograph, established of the recognition algorithm and programmed of wood recognition method, the results showed that the wood recognition method was feasibility based on the image manipulation.

通过对木材横切面显微图像量化特征参数的提取与分析、基于图像分析的判别匹配算法和判别程序的建立，结果表明，以基于图像分析的方法达到木材判别的目的是基本可行的。

The standard Kernel Fisher Discriminant Analysis may suffer from the large computation complexity and the slow speed of feature extraction for the case of large number of training samples. To tackle these problems, a fast algorithm of KFDA is presented.

摘要针对训练样本多时核Fisher判别分析的计算代价大，特征提取速度慢问题，本文提出一种KFDA的快速算法。

The stature, sitting height, chest circumference and shoulder breadth of the descendant students ...

依D_(ij值判别分析，后裔学生在体征上较多地显示汉族性状。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。