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In chapter four, by the concept of negative definite of symmetry interval matrix, methods of analysis of interval matrix and the method of Lyapunov function, the robust absolute stability of Lurie control system with multiple nonlinearities was investigated, and some algebraic sufficient conditions in the form of inequalities of interval matrix were obtained.

在第四章，通过定义对称区间矩阵负定的概念，主要用区间矩阵分析技术和Lyapunov函数方法，研究了具多非线性的区间Lurie控制系统的鲁棒绝对稳定性，我们给出了此类区间Lurie系统鲁棒绝对稳定性的区间矩阵不等式形式的代数充分条件。

We posed the concept of sufficient intersection about s(1≤s≤n) algebraic hypersurfaces in n-dimensional space and proved the dimension of polynomial space Pm(which denotes the space of all multivariate polynomials of total degree≤m) on the algebraic manifold S=s(f1,…, fs) where f1(X=0,…, f s=0denote s algebraic hypersurfaces of sufficient intersection, then gave a convenient expression for dimension calculation by using the backw ard difference operator.

给出了n维空间中s(1≤s≤n)个代数超曲面充分相交的概念，证明了n元m次多项式空间Pm在充分相交的代数流形S=s(f1，…， fs)（f1=0，…， fs=0表示s个代数超曲面）上的维数，并利用倒差分算子给出一个方便计算的表达式；构造了沿代数流形上插值适定结点组的叠加插值法；证明了在充分相交的代数流形上任意次插值适定结点组的存在性；给出代数流形上插值适定结点组的性质和判定条件。

More recent developments followed the formulation of the vector space concept into an algebraic structure , and the growth of functional analysis .

最近的事态发展后制定的向量空间的概念纳入代数结构和生长的功能分析。

In chapter 2, the concept of ""isolated point"" is defined, whose influence on algebraic structure of rough set is demonstrated.

孤点不会位于任何粗糙集的边界上，它对粗糙集的代数结构产生特殊影响。

In this paper,we propose a concept called interval implicitization of rational bézier surfaces,that is ,finding an interval algebraic surface with lower degree which bounds a given parametric rational bézier surface such that some objective function involving the width and the tention term of the interval algebraic surface is minimized.

本文提出有理Bézier曲面的区间隐式化的概念，即找到一条较低次的区间代数曲面使得给出的有理Bézier曲面落在该区间代数曲面内，并使得一包含区间代数曲面的宽度和张量项的目标函数达到最小。

Based on the concept of algebraic patterns, a simple pattern generation algorithm is proposed.

同时，研究了代数模式的图形表示，并给出了计算编织度的解析公式。

Alienation is an ancient concept, which is also an important theory category.

异化是一个古老的概念，也是一个很重要的理论范畴。

As an optical instrument, plumb aligner is used to give a plumb line,but up to now there is no accurate concept to indicate its plumb ness.

对垂准仪校准过程中同轴度和一测回垂准测量标准偏差进行了分析，并提出了铅垂p角的概念。

The whole concept of alimony is gender-biased, your honor.

所有关于赡养费的观念都是偏颇的，法官阁下

This article outlines the integer aliquot concept in the first primary theory of numbers, the basic nature, as well as some special integer divisible characteristics.

本文先概述初等数论中整数的整除概念、基本性质，以及一些特殊整数的可除性特征。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。