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By introducing the two dimensional homogeneous coordinates of an infinite point on Euclidian plane,the point coordinates and linear coordinates of an infinite point in straight lines,some theorems and conclusions referred to infinite points are applied in the classifications of structures in this paper.

引入了欧氏平面上无限远点的二维齐次坐标和直线上无限远点的点坐标及线坐标,引用了与无限远点有关的一些定理及结论于结构的分类中。从而给出了可变体系中的常变与瞬变在结构形式上的区别,完善了杆系平面结构几何组成规则的内容

Under some restrictions, firstly, the functional equivalence between Misclassification Cost-sensitive SVM and rule-based FIS is proposed.

在一定约束条件下,本文提出并证明误分类代价敏感SVM和一类基于规则的FIS的函数等效性定理。

First introduced the lattice-value information systems knowledge, and to partial order for the basis has been a new relationship: advantage, given the reduction and the core, the concept of simplifying the classification of features, it is also given on the approximation, and the approximate reduction of matrix determined theorem and the concept of identification, the final adoption of specific reduction of examples to illustrate this method is effective.

首先介绍了格值信息系统的相关知识,并以偏序关系为基础得到了一种新的关系:优势关系,给出了约简和核心,简化了概念的分类特征,也给出了上近似、下近似及约简的判定定理和辨识矩阵的概念,最后通过具体的例子说明这种约简方法是有效的。

We present the basic formulas and schematic diagram of classification learning based on information theory.

给出了归一化互信息在极值情况下的三个相关定理,以及在二值分类情况下误差敏感度分析方程。

Using Taylor Theorem,we generalize the second sufficient conditions for extreme point and inflection point,and give the classification for a large class of stationary point .

利用泰勒定理,推广了极值的第二充分条件和拐点的第二充分条件,并对某一大类驻点进行了分类。

This paper gives the necessary and sufficient conditions for distribution independent uniform convergence for real valued functions.

文章中充分的提到实函数之均匀收敛定理独立分类的必要及充份条件。

Two complemented lattices L_1, L_2 are said to be of the same "type" if they have identical sets of tautologies.

一个具有最小元O及最大元I的格L,如果在其中又定义了一个单值的1元运算&′&能适合O′=I,I′'=O,则称L为一可补格,一个命题演算良构式A(设只含命题连接词A,V,~),如果命它的变数在L中任意取值且将A,V,~分别解释为L中的运算∩,U,′时,A永远得到值I,则称A为L上的恒I式,当两个可补格L_1,L_2上的恒I式集相同时,称L_1,L_2为同型的,本文就是讨论可补格按同型关系分类的问题,所得结果如下:定理设有限可补格L_2适合条件:,存在一良构式A能使则任一可补格L_1与L_2同型的一个充分必要条件是:(A_1)。

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