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极集
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  polar set
     TWO INEQUALITIES ABOUT POLAR SET OF A SIMPLEX AND ITS APPLICATIONS
     单形极集的两个几何不等式及其应用
短句来源
     In this paper,we find necessary and sufficient conditions that any compact set is essentiallyb polar set of α- self - similar Markov processes and consider some relationships the polar set with essentially polar set and semipolar set.
     本文我们给出了任意紧集不是自相似马氏过程的本性极集的充要条件,并讨论了自相似马氏过程极集,本性极集,半极集之间的关系.
短句来源
     Two inequalities about polar set of a simplex were given in this paper. As its applications ,we obtained a construction theorem about a simplex and a geometric inequality about middle sections of a simplex.
     本文给出关于单形极集的两个几何不等式,作为其应用·获得单形的一个构造定理和关于单形中面的一个几何不等式.
短句来源
  polar sets
     The Properties of the Polar Sets for N-Paramenter d-Dimensional Generalized Wiener Process
     N指标d维广义Wiener过程极集的性质
短句来源
     The Properties of the Polar Sets for d-Dimensional Stationary Gaussian Process
     d维平稳Gauss过程极集的性质
短句来源
     Finally, the infimum is acquired of Hausdorff dimensions of its polar sets by means of constructing a Cantor-type set to connect Hausdorff dimension and capacity.
     同时通过一个特殊的Cantor型集的构造将维数与容度巧妙地结合起来,得到了广义Brownian Sheet极集的Hausdorff维数的下确界。
短句来源
     The Necessary Conditions of the Polar Sets for d-Dimension Stationary Gaussian Process
     d维平稳高斯过程极集的必要条件
短句来源
     A problem proposed by Xiao about the dimensions of its polar sets is solved[145].
     其结论解决了Xiao提出的关于布朗单的极集的维数问题[145]。 此结果形式漂亮,对于布朗单也是新的。
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  “极集”译为未确定词的双语例句
     Study on foamed nickel as positive current collector in Li/SOCl_2 battery
     发泡镍作为Li/SOCl_2电池正极集流体的研究
短句来源
     The necessary conditions and sufficient conditions for a set to be polar are listed.
     ·研究了N指标d维广义Brownian Sheet的极集的性质,得到了其极集的必要条件与充分条件。
短句来源
     The technology of the foamed nickel served as the positive current collector for Li/SOCl_2 battery of high rate discharge was discussed.
     探讨了发泡镍作为高倍率Li/SOCl2电池正极集流体的应用工艺。
短句来源
     Performance of Pb-plated SiC possitive current collector in lead-acid battery
     铅酸蓄电池镀铅泡沫碳化硅正极集流体的性能
短句来源
     The poly(2, 5 dimethoxyaniline) film electrodes (Pt PDMA/Pt) dispersed platinum microparticles were prepared by electrochemical method. The electrodes which combine electroactivity and catalytic activity exhibit a higher electrocatlytic activity for oxidation of formaldehyde in aqueous solution of 0 5mol/L H 2SO 4.The catalytic activity depends on the size,distribution and amount of the loaded platinum microparticles,as well as on the concentration of formaldehyde and the temperature of electrocatalytic oxidation.
     以电位扫描法将铂微粒沉积在聚2,5┐二甲氧基苯胺薄膜电极上制得铂微粒掺杂的聚2,5┐二甲氧基苯胺电极.该电极集催化活性和电活性于一体,在甲醛浓度为1mol/L的硫酸溶液里的电化学氧化显示了较高的催化活性.铂微粒的大小、分布和载量,甲醛的浓度,电氧化温度等因素对电催化作用均有影响
短句来源
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  polar set
Polar set of Markov processes is an important concept in probabilistic potential theory, but it is not easy to judge the polarity of the sets.
      
We prove a Liouville type theorem for harmonic morphisms from to , showing that any such mapping which is defined off a polar set must be polynomial.
      
Moreover, any meromorphic section s, of a vector bundle F over V, defined on (a neighborhood of) extends on , and, if s is holomorphic then s extends meromorphically to U, with a polar set in H.
      
We prove the following dichotomy: We have convergence for all parameter values, or divergence everywhere except for an exceptional pluri-polar set of parameters.
      
In terms of the geometry of an arbitrary flag variety for GC, ? is described as the "polar set" of the closed G-orbit.
      
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  polar sets
Polar Sets and Relative Dimension for Generalized Brownian Sheet
      
The properties of the polar sets are discussed for a real-valued (N, d)-fractional Brownian sheet with Hurst index.
      
The infimum of Hausdorff dimensions of its polar sets are also obtained by means of constructing a Cantor-type set to connect its Hausdorff dimension and capacity.
      
We characterize the existence of global liftings of local data of meromorphic forms, satisfying a family of compatibility conditions on their polar sets, in terms of obstructions belonging to the cohomology H.(X, Ω.), where X is the ambient manifold.
      
On the class of polar sets for symmetric lévy processes on the line
      
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extremal set of convex subset of linear space in paper [2] possesses following properties: The Union and the intersection of a family of extremal set of convex subset are extremal, extremal set of convex subset possesses transmission, the relation between the extreme set of convex subset and the extreme set of extremal set of convex subset, etc, In this paper, propose several other properties of extremal set, and lemma 2,3 and theorem 6 in paper [1] are generalized in linear topological space.

在文[2]中提到凸集的极集具有:凸集的极集族之并与交仍为其极集;凸集的极集具有传递性;凸集的端点集与其极集的端点集之间的关系等。本文提出凸集的另外几个性质。并且把文[1]中的引理2、3以及定理6推广至一般的线性拓扑空间。

Guo Shoujing, a famous scholar during the early period of Yuan Dynasty, compiled a catalogue of fixed stars named "New determinations of equatorial positions and polar distances of 28 xiu (二十八宿, lunar mansion stars) and other stars". This work has failed to be brought out since establishment of Ming Dynasty.

元代初年的科学家郭守敬,在制《授时历》过程中曾进行了全天恒星测量。他著有《新测二十八宿杂坐诸星入宿去极》与《新测无名诸星》各一卷,收藏于元廷,元亡后(?)失,清初的梅文鼎曾偶得一残坏刻本,断为郭守敬上述遗著,不幸又告亡散。北京图书馆藏明钞本《三垣列舍入宿去极集》一卷,经考证,实为郭守散《新测二十八宿杂坐诸星入宿去极》的不完全钞本。全书按传统的三垣二十八宿1464星的体制和形象,一一绘出了全天星座。图上实绘恒星1374颗,标有入宿去极度数的为741颗占全数1464星的50.6%.星表全部数据及整理归算结果,篇幅过多,今略。对二十八宿距里及114星的抽样计算并作数理统计,本文分析了星表的观察精度。原书各星的入宿度与去极度标注于星旁,熔星图星表于一炉,实为创举。自北宋后期至明末五百余年间,我国恒星观测资料目前尚告阙如,郭守敬的遗著为我国天文学史与天象记录的研究,提供了一份极有价值的历史文献。

Let X be a C, C. harmonic space. A subset X of X is called an FO-set if Rfk=f on K and (R(?)k= on X K for any real continuous function f>0 defined on K (denoted by f ∈ C++(K)), where Rfk is the reduced function of f on K. In this paper, the relations between FO-set and polar set were discussed and the following theorem in B-harmonic space X was proved: For any compact FO-set K4 f ∈ C++(K) and any neighborhood U of Kf there is a peteatial P such that p is continuous on K and harmonic on X\U and p=f on K; moreover,...

Let X be a C, C. harmonic space. A subset X of X is called an FO-set if Rfk=f on K and (R(?)k= on X K for any real continuous function f>0 defined on K (denoted by f ∈ C++(K)), where Rfk is the reduced function of f on K. In this paper, the relations between FO-set and polar set were discussed and the following theorem in B-harmonic space X was proved: For any compact FO-set K4 f ∈ C++(K) and any neighborhood U of Kf there is a peteatial P such that p is continuous on K and harmonic on X\U and p=f on K; moreover, if K is of type Gδ, then P is continuous on X. The results can be considered as a generalization of J. Ramasamy's theorems (Proc, Amcr, Math, Soc,, 1985; 93(2))

在调和空间中引入FO-型例外集,探讨它与极集的关系,在一般的B-?和空间X上证明下述主要结果:任何一个紧的FO-集K上的正实值连续函数必可延拓成X上的位势p,使得p在K上连续且在K的任一事先指定的邻域之外调和;若K还是G_δ型集,则p在X连续,并把J.Ramasamy有关的定理都?了推广和改进。

 
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