| 1. | The existence and relevant theorems of homoclinic orbits for another generalized lienard system are obtained
摘要本文得到了另一广义系统，的同宿轨的存在条件及其相关定理。 |
| 2. | The affect of neural network error is studied and the relative theorem is developed and testified
同时研究了径向基函数神经网络建模误差对控制的影响，给出并证明了相关定理。 |
| 3. | The error of fuzzy neural network model and its affect on chaos control and chaotifying control are studied , two theorems are given and testified
研究了解识误差对混沌控制和混沌化控制的影响，给出了两个相关定理和证明。 |
| 4. | This paper based on the definition of measurable mapping and the characters of mapping , gives the detailed identification of judging measurable mapping theorem
摘要根据可测映射的定义以及映射的相关性质，给出了关于判定可测映射的相关定理的详细证明。 |
| 5. | Moreover , some evolution theorems and correlative certifications on evolution rule 90 and rule 184 are obtained with the help of the function forms of these rules
进一步利用推导出的演化规则的函数形式，给出演化规则90和演化规则184的演化定理及相关定理的证明。 |
| 6. | This paper mainly studied optimal solutions distribution area of one new kind of parametric linear programming and its related theorem on a basis of some usual parametric lp problems
摘要在一些常见参数线性规划的基础上研究了一类新的参数线性规划最优解的分布区间及相关定理。 |
| 7. | According to the theorem about judging the number of error symbol concluded in this paper , an improved step - by - step decoding algorithm is put forward and proved , which based on some relative theorem promoted by t . - c . chen and shyue - win wei
Chen和shyue - winwei提出的相关定理，结合本论文总结的判断错误符号个数的定理，提出一种改进的step - by - step算法，并且对相关的定理给出了证明。 |
| 8. | Based on the thought of extending the domain on which the random vector xn has uniform distribution to other sets , we construct the concept of center simila r distribution ( csd ) , and give some related theorems . also we get two representations of csd
而后我们基于将向量均匀分布的区域改变成其他形式集合的思想，提出了中心相似分布的概念和相关定理，相应的也给出了中心相似分布的两种表示法。 |
| 9. | 3 ) in order to manage and trace materials in mes , the concept , theorems and properties about a special set named s ( i ) are put forward . based on the properties and theorems of s ( i ) , a new method is presented to describe the material process state . it is a concise way using the material process state vector and material process state value to deal with the materials which provides a powerful mathematic tool for material management in mes
3 )面对制造执行系统中的物料工艺状态描述的困惑，建立了集合s ( i )的定义以及集合s ( i )的相关定理和性质，并在集合s ( i )理论的基础上，研究了如何描述物料工艺状态信息，从而为制造执行系统中物料管理和物料跟踪提供科学的方法。 |
| 10. | In section 4 . 2 we analyze its main idea and algorithm in detail , two relevant theorems included ; section 4 . 3 provides plenty instances so to explain its nonlinear dimension reduction ability , section 4 . 4 propose a combined method that integrates the advantage of various methods . in section 4 . 5 we analyze some significant problems in lle , including the locality of manifold representation , the choice of the neighborhood , the intrinsic dimension estimation and the parametric representation of mapping . in section 4 . 6 we design an algorithm for estimating the intrinsic dimension in the base of locally linear approximation and discuss the choice of its parameters
第四章是本文的重点内容，研究一种全新的非线性降维方法? ?局部线性嵌入方法，对它的思想和算法进行了详细的分析，给出算法两个相关定理的证明；第三节对比主成分分析，通过实例说明局部线性嵌入方法的非线性降维特征；第四节在此基础上提出了旨在结合两者优势的组合降维方法；第五节提出了局部线性嵌入方法中存在的若干关键性问题，包括流形的局部性、邻点的选择、本征维数的估计和降维映射的表示，第六节基于局部线性近似的思想提出了一种本征维数的估计方法，设计了实用算法，结合实例对算法中参数的选取进行了讨论；最后一节提出了一种基于局部线性重构的图形分类和识别方法，将其应用于手写体数字的图像分类识别实验，实验得到的分类准确率达96 . 67 。 |
