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In this dissertation, the following critical theoretical problems on local La-grangian numerical differentiation are studied: explicit formulas, local estimate for the remainder, and the highest order of approximation in the case that the values of the function at these interpolation nodes have perturbationsLagrangian numerical differentiation is a method that the Lagrange interpolation polynomialis differentiated to approximate the derivative, where Tn ={t_0,t_1,......

本文主要研究有关局部Lagrange数值微分法的一些关键性的理论问题：公式的显式表示，余项的渐近估计，以及在插值数据有扰动的情况下，局部Lagrange数值微分法的最大逼近阶。

Applying the concept of equivalent negative stiffness of axial forces, the approximate formula for the critical load of the system is suggested, and compared with theoretical results.

对伸臂位于项部的两层框架—筒体模型进行精确位移法分析，得到了结构有侧移失稳的临界荷载精确解。

To solve the problem, an approximate theoretical computation method for BER is proposed and simulation experiments are made.

针对此问题，本文给出了在QPSK调制解调系统中，本振相位噪声引起的误码率恶化的理论计算方法，并对此进行了仿真验证。

For design calculations, it is usually adequate to use the theoretical value for the approximate mixture ratio , corrected by a typical combustion efficiency factor.

对于设计计算，采用相应混合比的理论值，并用典型的燃烧效率系数来修正，通常这样做是恰当的。

Taylor Formula is a very important content of mathematical analysis, it can intensively embody the soul of "approximation" of calculus, and it is extensively applied in the theoretical analysis and practical application.

泰勒公式是数学分析中的重要内容，集中体现了微积分中"逼近法"的思想，在理论分析和实际应用中经常涉及。

The paper introduces the theoretical basis of the proximate best uniform approximation theory in detail,and applies it to the design of FIR digital filter.

介绍了近似最佳一致逼近原理的理论基础，并将它应用于FIR DF的设计。

The thesis makes a preliminary exploration of the necessary conditions for fuzzy logic systems as universal approximator for nonlinear function, which is an important theoretical problem of fuzzy logic systems.

这一研究的重要意义在于，我们是在一个统一的框架下来对模糊逻辑系统的这一理论问题进行研究的，是这一研究领域开创性成果。

By this way, the obstacles are removed for the research on the theoretical problems of adaptive fuzzy logic system in a unitary frame, for instance the problem of the general fuzzy logic system as universal approximator of nonlinear function.

在概念上明确了专家信息的本质特征可以看作是来自语言的模糊信息，为通过自适应模糊逻辑系统对专家信息的研究和利用打开了通道。

This paper presents the theoretical localization in modern gravitation, the appurtenance oneself characteristic sets out, putting forward the gravitation exsits new speculation, to establish a kind of new model and reasonable explaining every kind of object ive gravitation phenomenon and to this proceeding study.

指出了现代引力理论的局限性，从物体自身特性出发，提出了引力存在的新构想，建立了一种新模型来解释各种客观引力现象并对此进行了探讨。

The aim of the study was to provide theoretical basis for breeding and identifying cold-resistant varieties of apricot.

为选育和鉴定杏的抗寒品种提供理论依据。

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。