在地图综合的过程中，比例尺的变化以及各种综合算子都可能导致目标产生空间关系冲突。
During map generalization, spatial relation conflicts will be caused by the change of the scale and various kinds of generalization operators.
在地图综合的过程中，比例尺的变化以及各种综合算子都可能导致目标产生空间关系冲突。
During map generalization, spatial relation conflicts will be caused by the change of the scale and various generalization operators.
特别地，证明了这两个子类的几个包含关系、积分算子和卷积性质。
In particular, several inclusion relations, integral operators and convolution properties for each of these function classes are proven.
线性保持问题(简称LPP)刻画在矩阵空间上保持特定的函数，子集，关系等不变的线性算子。
Linear preserver problem (LPP for short) concerns the characterization of linear operators on matrix Spaces that leave certain functions, subsets, relations, etc.
本文研究积分双半群与有界线性算子双半群的关系。
The relationship between integrated bisemigroups and bisemigroups of linear bounded operators is investigated.
给出了半序集上集值算子的几种混合单调性定义，讨论了它们之间的关系。
In this paper, some definitions of the mixed monotonicity for set-valued operators in semiordered set are introduced and relation of monotonicities are discussed.
模糊关系与算子合成构成了模糊映射，即将模糊集映射为模糊集。
The composite operation of fuzzy relation and operator constitute the fuzzy mapping.
遗传操作的概率特征，揭示了遗传算子各自在遗传优化过程中的作用及相互关系。
The probability character of genetic operator is also analyzed to clarify the function and interaction of genetic operators during the genetic operating process.
并讨论了映射的性质与近似算子性质之间的关系。
The connections between the properties of the mapping and approximation operators are discussed.
讨论了共轭线性算子对应于线性算子的一系列重要性质，并且研究了线性算子与共轭线性算子的一些关系。
A series of important properties of these operators are obtained, some relationships between conjugate linear operators and linear ones are also discussed.
进而分析时态区间和时间点并描述两者间时态关系，并引入时态算子描述这些关系。
In addition, the Temporal Interval and Time Point are analyzed and their temporal relations are described with the Temporal Operators.
相容算子是一类将一般关系转化为相容关系的操作，这也拓展了基于相容关系的数据挖掘方法的应用。
Tolerence operators are kind of operations converting general relation to compatibility relation, it also extends the application range of the compatibility relation-based methods for data mining.
文中给出了导集算子的概念，并在EX上引入了模糊导集算子的概念，研究了其性质，讨论了它们与拓扑间的关系。
This paper defines the concept of derived set operator, introduces the concept of fuzzy derived set operator in EX, studies their properties and discusses their relations to topology.
关系代数的派生算子在关系数据库查询语言中得到了广泛应用。
The derived relational algebra operators are widely used in the relational database query languages.
该方法建立基于标签的空间拓扑算子的计算，进行几何体空间关系的判断与合并，实现空间数据的多比例尺表达与显示。
The method computes topological operator based on label, verdicts and merges the spatial relationship of geometric, expresses and displays the multi-scale of spatial data.
第三章提出了一些新的G -可微概念，并研究了算子的凸性与这些新的可微性之间的关系。
In chapter 3, we set some new conceptions of G-derivative, and make a research on the relations among these new derivatives and the convexity of an operator.
该方法可利用均值-方差间关系等先验知识来构造加权矩阵，并利用二维局部空间信息来构造惩罚项或正则算子。
It utilizes the prior variance -mean relationship to construct the weight matrix and the two -dimensional (2d) spatial information as the penalty or regularization operator.
引入了卡氏和张量混合积空间上的对称化算子和相应的分块矩阵上的混合矩阵函数，给出了关于它们的若干关系式。
Symmetrizing operators on mixed cartesian and tensor product spaces and corresponding mixed matrix functions on partitioned matrices are introduced. Some relation formulae on them are given.
概念格是知识表现的有力工具，在概念格基础上，利用构造方法，首先探讨概念知识系统上两个算子之间的关系。
Concept lattice is a useful tool of knowledge representation. In this paper, we discuss the relations between the two operators of the concept knowledge systems based on the construction method.
在本文中，我们研究了(ac)算子，可分解算子，谱算子以及它们之间的关系。
In this paper we investigated (AC) operators, decomposable operators, spectral operators and their relationships.
定义了与知识精细关系相容的格算子，并给出了其算法和知识精细关系的充要条件。
The lattice operators, which correspond with the knowledge fine relation, are defined, and the algorithms of them and sufficient and necessary conditions for the knowledge fine relation are given.
以弹性波为重点，评述了三锥散射算子关系及其在逆散射中的应用。为便于理解，在介绍过程中，还仔细描述一维球对称情况下散射矩阵和逆散射方程推导。
The three-dimensional scattering operator formulations with application in the three-dimensional inverse scattering are reviewed with emphasis on the elastic wave case.
最后给出的两个实例，表明分子格上强导元算子与一般拓扑学及不分明拓扑学中相应概念的关系和区别。
Then, by the aid of them, some descriptions of equivalence for complementary topology on Molecular Lattice are obtained.
叙述了采用积分算子解法时弹性解与粘弹性解之间的对应关系；
The paper introduces the correspondence principle between elastic solution and viscoelastic solution when adopting integral operator solution;
该文针对用于GIS的可扩充数据模型存在的问题。构造了一个适合地图数据库应用的可扩充数据模型。它以嵌套关系模型为基础．引入高阶算子定义操作。
To attack the problems on the extensible data model for GIS applications, we propose an extensible data model for map database applications in this paper.
该文针对用于GIS的可扩充数据模型存在的问题。构造了一个适合地图数据库应用的可扩充数据模型。它以嵌套关系模型为基础．引入高阶算子定义操作。
To attack the problems on the extensible data model for GIS applications, we propose an extensible data model for map database applications in this paper.
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