必要条件

According to the basic concept of a street and its pattern language, and based on the concrete investigation in the village, we try to analyze the relationship among the material pattern, social pattern and the living pattern of a street, and study the necessary factors to the street space acting as a public space and the monotonousness and variety of a street space.

摘要从探讨街道的含义及其摸式语言入手，以客观翔实的村落调查研究作为立论基础，探索街道空间的物质形态、社交形态以及生活形态三者之间的相互关系，挖掘街道空间作为公共空间存在的必要条件及其单一性与多元性的空间意义。

The first section studies general inverse of morphism with generalfactorization, and gives some necessary and sufficient conditions for their existence and expression.

第一部分我们研究了具有广义分解的态射的广义逆，得到了他们存在的充分和必要条件以及他们的表达式。

The fourth section studies general inverse of morphism sum. and obtains some necessary and sufficient conditions for their existence and expression.

第四部分我们研究了态射和的广义逆，得到了他们存在的充分和必要条件以及他们的表达式。

The second section studies general Moore-Penrose inverse of morphism with general factorization, and gives some necessary and sufficient conditions for their existence and expression.

第二部分我们研究了具有广义分解的态射的广义Moore-Penrose逆，得到了他们存在的充分和必要条件以及他们的表达式。

The criterion fails, however, for other higher dimensional or multipartite states.

但是这个判据对于高维或者多体系统只是必要条件。

It is due to the incorrect use of the substantial derivative in multiphase flow that induces such results.

本文从连续介质的观点出发，得到了多相流的随体导数须满足的必要条件和充分条件。

Based on the article [1], we discuss and prove two sufficient and necessary conditions of multiplicative convex functions.

摘要在文献[1]的基础上，讨论并证明了积性凸函数的两个充分必要条件，同时证明了积性凸函数的另外两个定理。

In Chapter 3, we investigate the delay-dependent stability analysis of linear multistep methods when they are applied to the neutral delay differential equations. We state a necessary condition for any linear multistep method applied to the neutral delay differential equation to be Nτ(0)-stable.

在第3章中，考虑了中立型延迟微分方程线性多步法依赖于延迟的稳定性分析，给出了任意线性多步法是Nτ（0）-稳定的一个必要条件。

In both the cases we provide necessary conditions for any linear multistep method applied to delay differential equations and neutral delay differential equations to be τ(0)-stable and Nτ(0)-stable respectively.

针对这两种情况，分别给出了线性多步方法关于延迟微分方程τ（0）-稳定及中立型延迟微分方程Nτ（0）-稳定的必要条件。

By constructing proper Lyapunov functional, a sufficient condition and a necessary condition which the neutral item must satisfy when the modal is steady are given based on LMI technique and Lyapunov-Krasovskii stability theory.

通过构造合适的Lyapunov泛函，借助线性矩阵不等式的一些技巧以及Lyapunov-Krasovskii稳定性理论，给出了该神经网络模型稳定的充分条件，以及模型稳定时中立项所必须满足的必要条件。

Recall that, in the Kolmogorov axiomatization, measurable sets are the sets which have a probability or, in other words, the sets corresponding to yes/no questions that have a probabilistic answer.

延期开工的Kolmogorov宣布要衡量所有套职能有限许多坐标限制在于衡量子寅。换句话说，如果是/否的问题回答f可看的价值观念在许多最有限坐标，然后它有一个概率的答案。

The experimental results showed that the algorithm can filter singular points and remain fixity of the target edge.

实验表明：基于模糊理论的图像智能滤波方法比常规图像滤波方法运算量小，它既能去除奇异点，又能保持图像中目标的边缘不变性，具有很好的滤波效果。