Lemma 7 h = be a weak hopf - coalgebra and is a normalized left integral of h1 ; then for all theorem 5 let h = be a finite - dimension weak hopf - coalgebra , then h is semisimple if and only if h1 is semisimple 一余代数，则下列命题等价： （ hi半单问hi中存在正规左积分iehi问hi是可分的卜代数引理5对弱hopf7t一余代数h khalh ，八，乙）而言1是从的正规积分有： voe 。
It is found that , the modes of coaxial optical emission of dissimilar gaps , clustering at distinct numerical range , can distinguish 1st , 2nd and 3rd class welds of different welding quality effectively 结果表明，同轴光信号幅值的众数在不同间隙的焊缝段，聚集在线性可分的不同的区间，可以有效分开焊接质量不同的类、类、类焊缝；信号的分段功率谱分析能够较为直观地反映焊接状态的变化。
His creative work firstly lies in : discovering the j particle according to the infinite and disjunctive dialectical materialism viewpoint , challenging " the quark confined " , and investigating the cosmos profounded mystery , by researching to manufacture " alpha magnetic spectrometer " 他创造性的工作在于：根据物质无限可分的辩证唯物主义哲学观点，发现j粒子，挑战“夸克禁闭” ；研制阿尔法磁谱仪，探索宇宙奥秘。
Because a divisible e - cash system allows the customer to use one e - cash to do multiple legal accurate payments and reduces the times of withdrawal , it can reduce the load of the network and improve the system efficiency . therefore , a good e - cash system should be a divisible e - cash system 由于可分电子现金系统能够让用户使用一个电子现金进行多次合法的精确支付，减少提款次数，从而可以降低网络负载，提高系统效率，因此一个好的电子现金系统应该是可分的电子现金系统。
The author focuses discussion on maxwell equations in two dimensions involving respectively the two conditions that the current density is zero and the current density exists . the symplectic integrator method is implicit except that the hamiltonian is separable . but when the current density exists , the hamiltonian is not separable 主要分析了二维情形下电流密度为零和电流密度存在时的两种情况，由于第二种情况下maxwell方程不是可分的hamilton系统，因此理论上文中提出的显式辛算法不可行，但是证明了辛prk方法仍然可以运用，且格式依然保持显示。
Svm method is presented on the condition of linear classifier , and has been developed as an effective way in solving problems of nonlinear pattern recognition . in consideration that the problem of classification existing in reality is always nonlinear , and unable to be separated completely , a minute explanation of c - support vector classification ( c - svc ) is given and - support vector classification ( - svc ) - - a method for improvement in which parameter has objective significance is also introduced to avoid the disadvantage that parameter c in c - svc is of no exact significance 支持向量机是从线性可分的分类情况下提出的,并发展成用来解决非线性模式识别问题的有效手段,由于现实中存在的分类问题往往是非线性的,且可能无法完全分开,文中主要介绍了用于处理此类问题的非线性软间隔分类机,即c -支持向量分类机,并介绍了一种改进的方法: -支持向量分类机,其参数具有一些直观上的意义,避免了c -支持向量分类机中参数c没有确切意义的缺点。
The research on the definition of quality data has changed the traditional ways of classifying the quality data by the codes . by synthesizing the old classification of quality data and summarizing the traditional names of the various kinds of accidents , the article indicates that the quality data elements should not be the minimal unit , and must be divided , therefore the article forwards a new way to define the element of quality data , it is named " subsection definition " and solve the problem of uncertainty in definition of quality data 本文对质量数据定义的研究，改变了质量数据按编码分类的传统做法，而是根据企业的实际情况，对企业原有的质量数据类进行分析汇总，总结各种事故类的传统叫法和习惯叫法，认为质量数据元素并非最小单位，而必须是可分的，为此本文对质量数据元素定义提出"分段定义"的新办法，解决了对质量数据定义不确切的问题。
At first the creation of typical perceptron model and its learn algorithm are introduced . then on the base of the principal and geometrical presentation of typical perception model , the limitations of typical perceptron model are studied . this limitation is that perceptron learn algorithm can be used only when data are linear separability 在神经网络中，重点分析研究了感知器基本模型，包括感知器基本模型的构造及其学习算法，模型的几何意义及其局限性，并针对该模型只有在线性可分的情况下才能用感知器的学习算法进行分类的这一固有局限性，研究并推广了感知器模型。
