本文主要讨论了线性拓扑空间中集合的固有代数边界点集的性质。
The properties of the proper algebraic boundary point sets of the sets in topological linear Spaces were discussed.
本文讨论2 -距离空间中某些膨胀型映射对的不动点的存在性，唯一性和不动点集的性质。
This paper discusses existence and uniqueness of the fixed point of some expansion type mapping pairs and properties of fixed point sets in the 2-metric space.
在第二章中，我们讨论紧致度量空间上连续自映射的可链点集的性质，特别是链回归点的可链点集的性质。
In Chapter Two, we discuss properties of the set of chainable points of a continuous self-map fon an impact metric space, especially those of chain recurrent points.
本文对度量空间上拓扑传递的连续半流，研究了其敏感依赖性及周期点集的拓扑性质。
In this paper, we study the sensitivity and the topological property of periodic points for topologically transitive semi-flows on a metric space.
首先给出了典型李代数自同构的一些性质，接着用矩阵的形式具体给出典型李代数自同构共轭的充要条件，并计算了任意阶自同构的不动点集。
In this paper, some properties of automorphisms of classical Lie algebras was given first and then a classification of conjugacy automorphisms using only the matrix theory was presented.
在下降流不变集方法找泛函临界点的定理中，用收缩性质替换P。
In the theorem of finding critical point by invariant sets of descending flow, we replace the condition of p.
将压缩算子不动点存在性研究推广到集值的情形，证明了几个满足压缩性质的集值算子不动点定理。
The study of existence of fixed point for contractive operators is extended to the set-valued case, and some fixed point theorems for set-valued contractive operators are proved.
本文论述了离散点集与连续物体的投影重构的不同性质。
The reconstruction properties of the dilute objects are different from the extended objects.
使我们将分维概念从自相似和点集的几何性质，扩展到物理场的强弱区域有不同的标度，并将物理场的功率谱和分维、标度律联系起来。
The scaling is thus no longer confined to the notion of self-similarity nor to the geometric properties of sets of points. the weak and intense regions of physical fields have different scaling.
使我们将分维概念从自相似和点集的几何性质，扩展到物理场的强弱区域有不同的标度，并将物理场的功率谱和分维、标度律联系起来。
The scaling is thus no longer confined to the notion of self-similarity nor to the geometric properties of sets of points. the weak and intense regions of physical fields have different scaling.
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