查询词典 compactness

Image enhancement ; genetic algorithm ; fitness ; mean square deviation ; information entropy ; fuzzy compactness

影像增强；遗传算法；适应度；均方差；信息熵；模糊紧支度

Therefore, the key to improve strength and durability of the concrete is to decrease flaws of concrete, especially to meliorate the structure of interface, which will improve the compactness and cohesion of interface, thus improve the strength and durability of the concrete.

因此，要提高混凝土材料的强度和耐久性等宏观性能，就必须减少其内部的微观缺陷，特别是要改善界面过渡区的结构，提高界面过渡区的密实性和黏结力，从而提高混凝土的强度和耐久性。

The theory of generalized metric properties and covering properties stems from a generalization of metrizability and compactness, in which a great many problems involve a research for certain point-countable covers.

作为对可度量性与紧性一般化而形成的广义度量理论与覆盖性质理论中的许多问题涉及到对确定的点可数。。。

In this paper, by using the cone theory and mixed monotone iterative technique, the fixed point theorems for a class of mixed monotone multivalued operators in Banach spaces without continuity and compactness are invetigated. The results presented here develop some known ones.

利用锥理论和混合单调迭代序列技术，在不要求任何紧性和连续性的情况下，证明了Banach空间中的一类混合单调集值算子不动点定理，并应用到一阶集值方程中，推广了某些已知结果。

Some properties of the closed sets, separation and compactness are discussed, so the advantages of nonstandard analysis is showed.

在此基础上，定义了闭集、分离性及紧性，讨论了闭集、分离性及紧性的一些相关性质。

Based on the nonstandard topology definition and enlarged model, the concept of compactness in the topological space are described and characterized in this paper.

在非标准扩大模型和拓扑的非标准定义基础之上，对拓扑空间中紧性的概念及相关结论进行了描述和刻画。

Firstly, the eigenvalue problem of a class of second order elliptic equation with critical potential and indefinite weights is considered. Then, using critical point theory, Trudinger-Moser inequality and the properties of the first eigenvalue, we prove the existence of a nontrivial solution for a class of nonlinear elliptic with critical potentialand indefinite weights in R~2. Secondly, we prove the existence of nontrivial solutions for a class of subcritical and critical elliptic systems with indefinite part in R~2 byusing a generalized linking theorem, Trudinger-Moser inequality and concentration-compactness principle.5. The existence of at least three weak solutions for discrete boundary value problem is established by using a three critical point theorem introduced by Ricceri.

首先，讨论了R~2中一类带不定权且含临界位势的二阶椭圆型方程的特征值问题，并借此特征值问题的第一特征值性质，利用山路引理及Trudinger-Moser不等式，证明了R~2中一类带不定权且含临界位势的非线性椭圆型方程非平凡解的存在性；其次，利用广义环绕定理，Trudinger-Moser不等式及集中列紧原理，得到了R~2上一类具有强不定部分的半线性椭圆型方程组在非线性项分别为次临界增长和临界增长情形下非平凡解的存在性。

Xie-Beni index decreases with the number of partitions increasing. It is difficult to choose the optimal partition of data when the number of clusters is large. From the point of view of the compactness and the separation of clustering, a novel clustering validity function is proposed, which is based on the improved Huber Г statistic combined with the separation of clustering.

针对此问题，分别考察改进的Hubert Г统计量和聚类分离度，导出一个新的基于数据几何结构的聚类有效性函数，使得它有惟一的最大值，函数值随聚类个数增大而递减的趋势并不影响最优聚类个数的判定。

Chapter 3 discusses the algebraic and spectral properties of dual Toeplitz operators on the orthogonal complement of the Bergman space, such as boundedness, compactness, spectral properties and so on.

第三章研究了多圆盘Bergman空间的正交补空间L_a~2(D~n~⊥上对偶Toeplitz算子的代数性质，比如：有界性、紧性和谱性质等。

In order to control effectively the compaction of subgrade,the internal mechanism and the relationship between the maximum dry unit weight of different mixture soil materials and optimum moisture content are studied on the basis of a long time of construction experience and a great amount experiments and test data. Major factors affecting road compaction and compactness analysis method in construction check are ascertained through abnormality and distortions represented by com paction data.

为了有效地控制路基的压实质量，根据长期施工实践、大量试验和检测数据，对道路压实形成的内在机理、不同土工混合料的最大干容重与含水量之间的关系进行分析研究，并通过广泛采集检测的压实数据所表现出的反常与失真现象，可确定影响道路压实质量的主要因素，以及施工检测中应掌握的压实度分析方法。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。