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completely linear metric spaces 完备线性度量空间
Let A(u),u U be perturbation subests of a linear metric space E and C(u), U be perturbation comex cones of E . 设A（u）,uU,是线性度量空间E中的受扰动的非空子集。 C（u）,uE从是E中受优动的凸锥。
linear metric space 线性度量空间
Logical metric space is an importent frame in approximate reasoning. 摘要逻辑度量空间是近似推理的重要框架。
Methods The commutative condition of selfmapping pairs are applied in metric space. 方法利用度量空间中自映象对的可交换性条件。
Aim In order to develop and improve the fixed point theorem in metric space and extend the application. 摘要目的为了进一步发展和完善度量空间中的不动点理论，扩展不动点定理的应用范围。
The reflected light is weak and completely linearly polarized. 反射光较弱，且是完全线偏振的。
Metric space is a specific topological space, and it is an important process to understand topological space. 摘要度量空间是一类特殊的拓扑空间，并且它是理解拓扑空间的一个重要过程。
In section 2.2, it is proved that if an expansive homeomorphism of a compact metric space have the POTP, then it has the POTP in its basic sets. 2节证明了：对于紧致度量空间上的自同胚，若它有伪轨跟踪性且是膨胀的，则它在链分支上保持伪轨跟踪性。
The reals are a contractible (hence connected and simply connected), separable metric space of dimension 1, and are everywhere dense. 由于实数集中只有可数集个数的元素可能是代数数，绝大多数实数是超越数。
It is proved that a homeomorphism on a compact metric space with the average shadowing property has only one chain component which is the whole space. 证明了紧致度量空间上具有平均伪轨跟踪性质的同胚只有一个链分支,这个链分支就是全空间。
In finite dimensional space form a bounded open domain, we study some open convex subsets and it's topology, then give a complete metric space. 摘要考虑了在有限维空间中包含在某一有界开区域中的所有有界开凸子集所成空间上的拓扑，给出了一个相关的完备的度量空间。
The fixed point theorems on a class of contraction mappings on the metric space is proved,which contain Matkowski's,Boyd and Wong's,Dugundji and Granas' fixed point theorems. 证明了度量空间中一类收缩映像的不动点定理，它包含Matkowski不动点定理、Boyd－Wong不动点定理及Dugundji－Granas不动点定理
Thus, we provide a theoretical foundation for establishing complete linear support vector ordinal regression machines. 从而为建立理论上完备的线性支持向量顺序回归机提供了依据。
Results Three selfmappings theorem of existing and unique of common fixed point were buit, a new theorem of common fixed point in compact metric space was obtained. 结果建立了紧度量空间中3个自映象的公共不动点的存在性和唯一性定理，得到了一个新的公共不动点定理。
By the parametric representation, fuzzy number means a bounded continuous curve in the two-dimensional metric space R2, so that it is easy to analyze fuzzy differential equations. 在此参数表示下,模糊数可直接视为二维度量空间R2中的有界连续曲线,这给分析模糊微分方程带来了便利。
In this paper, common fixed point theorems for converse commuting selfmaps on a metric space have been proved. The theorems are different from the related results. 摘要通过引入度量空间中的反交换映射，证明了一个公共不动点定理。这一结果不同于相关的文献。
Does research in a common fixed point theorem of fuzzy mappings in inequality conditions and the cut set is the nonempty closed bounded subsets of,while is complete metric space. 研究了在完备度量空间中一对模糊映象满足一些特定不等式条件,以及当其截集是中非空有界闭集时,该对模糊映象的公共不动点的存在性问题。
Carisiti's coincidence theorems for fuzzy mappings in probabilistic metric space is given. The main theorems improve and generalize the corresponding results. 给出概率度量空间中模糊影射的克里斯蒂重合定理;这些结果提高和推广了相应的结果.
The problem of the complete linearization for nonlinear systems is discussed. 本文讨论了非线性系统的完全线性化问题。