英语人>词典>汉英 : 完备空间 的英文翻译,例句
完备空间 的英文翻译、例句

完备空间

词组短语
complete space
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On the applications of the uniformly Besicovitch almost periodic functions to differential equations, the main works are as follows:First, the paper proves that the space of the uniformly B2 almost periodic functions, with a special norm, is a Banach space, and then the Fixed Point Methods could be used in this function space.Second, since the space of the uniformly B2 almost periodic functions is per-fect, the paper investigates the existence and uniqueness of uniformly B2 almost periodic solution of a wave equation involving reflection of the argument by the principle of contraction mapping.

关于一致Besicovitch概周期函数在微分方程中的应用,本文主要做了以下工作:第一,证明了一致B~2概周期函数空间在其特定范数下构成Banach空间,从而可以在此函数空间上应用不动点定理;第二,由一致B~2概周期函数空间的完备性,应用压缩映像原理,讨论了一类满足一定初始条件的带反射变量的波方程一致B~2概周期解的存在唯一性。

E〓 is endowed with a new metric D, such that becomes a complete metric space. After that a locally convex complete pseudonormed space is constructed. Finally, E〓 is embedded into isometrically, and isomorphically.

在n维非紧模糊数空间E〓上引入一个新的度量D,使得成为一个完备的度量空间,然后我们构造了一个局部凸的完备赋准范空间,并将n维非紧模糊数空间等距同构地嵌入到空间之中。

It is in urgent need to build a traffic accident information spatial-database based on GIS. The contents of a perfect traffic accident information spatial-database should include three parts, i.e. spatial-database, influential factors database and database of metadata and data dictionary. Its important application value is described. The data in the database are organized with the idea of layer-organization in GIS. The structure of each table and correlation in-between these tables are designed in detail. T...

笔者分析了建立基于GIS的交通事故信息空间数据库的紧迫性;探讨了完备的交通事故信息数据库的内容构成,认为应包括空间数据库、影响因素数据库以及元数据和数据字典库三大部分;研讨了交通事故空间数据库的重要应用价值,进而采用GIS的分层组织思想对交通事故信息空间数据库中的数据进行组织;详细设计了各个数据表以及数据表间的关系,建立了包含交通事故对象、人、车、路以及环境等要素的交通事故空间数据库,为交通事故研究提供完备的数据支持。

In this paper we define the concept of Projective Blaschke manifolds and extend the theory of equiaffine differential geometry to the projective Blaschke manifolds. We prved that if M be a complete projective Blaschke n-sphere and its universal covering manifold is isometric to a complete (n+1) dimensional parabolic, elliptic or hyperbolic affine hypersphere, then M is a quotient space of E^n, S^n or D^n by a isometric subgroup of its corresponding spaces.

在这篇文章中我们定义了射影Blaschke流形的概念,将等仿射微分几何的理论推广到了射影Blaschke流形,并证明:如果n维完备射影Blaschke 超球面 M 的通用覆盖流形分别是完备的抛物型、椭圆型或双曲型仿射球,则M分别是n维欧氏空间、n维超球面或n维单位圆盘关于各自空间的一个等距离散子群的商,从而对完备射影Blaschke 超球面进行了分类。

On the other hand, Let M~n be an z-dimensional complete noncompactoriented submanifold with finite total curvature in an-dimensional simplyconnected space form F~ of constant curvature c. In this thesis, we provethat if M satisfies one of the following: n≥3, c=0 and integral from n=M H~n<∞;n≥5, c=-1 and H<1-2/n~(1/2); n≥3, c=1 and H is bounded, where Hdenotes the mean curvature of M. then the dimension of the space of L~2 harmonic1-forms on M is finite.

本文还证明:若具常曲率c的完备单连通空间型F~中具有有限全曲率的n维完备非紧可定向子流形M满足下面条件之一:n≥3,c=0且integral from n=M H~n<∞;n≥5,c=-1且H<1-2/n~(1/2;n≥3,c=1且H有界的,则M上L~2调和1-形式空间的维数是有限的,这里H为M的平均曲率。

We introduce the uniform Hausdorff metric H on the space 〓 offuzzy complex numbers and investigate the topological structure of 〓.We show the completeness of 〓 and study on 〓 limits of thesequence of fuzzy complex numbers,metrical and leverwise convergence,and relation between metrical convergence and leverwise convergence.Weprove the equivalence theorem of metrical convergence and leverwiseconvergence on 〓.

在模糊复数空间〓上引进一致Hausdorff度量H,讨论了模糊复数空间的拓扑结构,证明了的完备性,并在完备的模糊复数度量空间上研究了模糊复数列的极限、度量收敛和水平收敛,讨论了度量收敛与水平收敛之间的关系,在上证明了度量收敛与水平收敛的等价性定理。

Firstly,by using the estimating methodfor the compact embedding operators(from weighted Sobolev space to the weighted〓space),we obtain a necessary and sufficient condition for the discreteness of thespectrum of certain differential operators.Secondly,based on the property of thespectrum of difinitizable operators on the Krein space,we consider the left definitedifferential equations with middle deficiency indices,and give a completecharacterization for self-adjoint(J-self-adjoint)differential operators in theindefinite inner product space 〓.Especially,we prove that all the J-self-adjoint differential operators are definitizable.

我们首先运用加权Sobolev空间到加权〓空间嵌入算子紧性的判别方法,证明一类加权自伴微分算子具有离散谱的充要条件;然后,基于Krein空间上可定化算子谱的性质,对于具中间亏指数的左定型微分方程,建立其相应的微分算式在不定度规空间〓上所生成自伴算子的完备性刻画(特别证明了J-自伴微分算子具有可定化性)。

The measurement in set theory, the properties of Metric Space, Measurement Topology, Measurable Space, Perfect Metric Space and its application in first order circuit are explored in this paper.

本文论述了集合上的度量、度量空间的性质、度量拓扑、可度量化空间、完备度量空间、及一阶电路中的度量空间。

Recently , the classical Riesz representation theorem on Hilbert spaces has been generalized onto complete random inner product modules ,in this paper the classical Friedrichs theorem on Hilbert spaces is generalized onto complete random inner product modules.

最近,经典的Riesz 表示定理已经被推广到完备随机内积模上,在此基础上本文将Hilbert 空间上经典的Friedrichs 定理推广到完备随机内积模上。首先,证明完备随机内积模上任一正Her2 mite 型惟一地对应一个正自共轭算子。

In the third chapter, we study complete minimal submanifolds of locallysymmetric space, and we obtain a pinching theorem about the Ricci curvature of the minimal submanifolds, which generalizes the result of Norio Ejiri\'s from sphere space to locally symmetric space.

第三章节研究局部对称空间中具有正Ricci曲率的完备极小子流形,得到了关于子流形Ricci曲率的一个pinching定理,该定理把Norio Ejiri的结论从外围空间为球空间推广到局部对称空间中。

更多网络解释与完备空间相关的网络解释 [注:此内容来源于网络,仅供参考]

complete metric space:完备空间

完全市场:Complete market | 完备空间:complete metric space | 完全同步:complete synchronization

complete space:完备空间

complete solution 完全积分 | complete space 完备空间 | complete subcategory 完全子范畴

weakly complete space:弱完备空间

weakly compact set 弱紧集合 | weakly complete space 弱完备空间 | weakly continuous cohomology theory 弱连续上同帝

topologically complete space:拓扑完备空间

topologically complete set 拓扑完备集 | topologically complete space 拓扑完备空间 | topologically equivalent space 拓扑等价空间

topologically complete space:位相完备空间

位相完备空间 topologically complete space | 位相等价空间 topologically equivalent spaces | 位相等价变换 topologically equivalent transformation

sequentially complete space:序列完备空间

sequentially compact set 列紧集 | sequentially complete space 序列完备空间 | serial correlation 自相关

quasi complete space:拟完备空间

quasi complete 拟完备的 | quasi complete space 拟完备空间 | quasi complete topology 拟完备拓扑

weak complete space:弱完备空间

弱紧致性 weak compactness | 弱完备空间 weak complete space | 弱收敛 weak convergence

quasi-complete locally convex space:拟完备局部凸空间

quasi-complemented lattice 拟补格 | quasi-complete locally convex space 拟完备局部凸空间 | quasi-complete space 拟完备空间

quasi-complete locally convex space:拟完备局部凸空间

quasi-complemented lattice ==> 拟补格 | quasi-complete locally convex space ==> 拟完备局部凸空间 | quasi-complete space ==> 拟完备空间