| 1. | The first part in this article has expounded the formulation about theory of approximations problems , and pointed out the research purpose and main contents of this thesis
文中第一部分阐明了逼近论问题的提法，指出了论文的研究目的和主要内容。 |
| 2. | Sui yunkang and yang zhiguang , modified newton method and dual method through a rational approximation at two expanded points , engineering optimization , vol . 24 ( 1995 ) : 1 - 17
隋允康，结构优化的曲线寻优理论及其逼近论和常微分方程组解法，中国学术期刊文摘， 1卷2期( 1995 ) |
| 3. | Conditions that a class of sequence has convergent subsequence arc discussed in the paper , this sequence is important in function approximation . the gained conclusions are useful in some relative areas
摘要文章讨论了在函数逼近论中有重要作用的一类序列存在收敛子列的条件，文中所得结论在相关问题的研究中有较重要的作用。 |
| 4. | There are many important applications in approximate theory , control theory and variation inequalities etc . according to the requirement of various subjects and applications , orlicz spaces is extended from the classical spaces lp
一致凸是banach空间的重要几何概念，其在逼近论、控制论、变分不等式等领域有着重要的应用。 |
| 5. | The study of direct and inverse theorems on the approximation of linear operators to functions in normed linear spaces is an important subject in the approximation theory . it is significant in theory and application
线性算子对赋范线性空间中函数逼近正逆定理的研究是逼近论中重要的研究课题之一，在理论和实际应用上都具有重要的意义。 |
| 6. | In theory of approximations , the classic methods of polynomial approximation for rational expression are various interpolations and operator approximations , such as lagrange interpolation , hermite interpolation and bernstein polynomial approximation
在逼近论中，用多项式逼近有理式的经典的方法是各种插值与算子逼近方法，如lagrange插值、 hermite插值和bernstein多项式逼近等。 |
| 7. | Bernstein approximation is one kind of classics and abundant research subjects in the theory of approximations , which mainly makes use of good properties and graceful structures of bernstein polynomials to discuss a great deal of relations between bernstein operators and the functions approached by it
Bernstein逼近是逼近论中一类经典而丰富的研究课题，它主要是利用bernstein多项式的良好性质和优美结构来讨论其与所逼近函数之间的诸多关系。 |
| 8. | The paper applies algebraic geometry , computational geometry , approximation theory to study the following problems : the nother type theory and the riemann - roch type theory of the piecewise algebraic curve ; the number of real intersection points of piecewise algebraic curves ; the real piecewise algebraic variety and the b - net resultant of polynomials
本文应用代数几何，计算几何，函数逼近论等学科的基本理论，分别就分片代数曲线的n ( ? ) ther型与riemann - roch型定理；分片代数曲线的实交点数；实分片代数簇以及多项式的b -网结式进行研究。 |
| 9. | This paper discuss a modeling and predicting means for nonlinear systems proceeding from nonlinear systems modeling and predicting theory , whch is based on drnn model . this means overcomes the fact that ar model is used only in linear systems , at the same time it connects itself with approximation theory symbolic statistics and conjugate gradient algorithm , and formulate a system of large watercrafts motion modeling and predicting which is based on drnn model , and simulate it
本论文从非线性系统建模与预报的理论及应用观点出发，系统地阐述了一类适用于非线性系统的建模预报方法? ?基于drnn模型的建模预报方法，克服了ar模型仅局限于线性的情况，同时结合逼近论、数理统计等知识，运用共轭梯度算法，提出并建立了基于对角回归神经网络的大型舰船运动建模预报系统，并进行了仿真。 |
