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1)  generalized hyperbolic metrics
广义双曲度量
1.
Gromov hyperbolicity and isometries of two generalized hyperbolic metrics;
两个广义双曲度量的Gromov双曲性及其等距变换
2)  generalized metric
广义度量
1.
The relation between generalized metric spaces and posets is treated.
广义度量空间和偏序集都具有函数空间。
2.
A generalized metric dist is defined on convex sets.
定义凸集上一种广义度量dist,给出其拓扑性质以及业dist与熵的关系。
3)  Hyperbolic metric
双曲度量
1.
A Note for Schwarz-Pick Inequality in hyperbolic metric;
关于双曲度量下Schwarz-Pick不等式的一个注记
2.
Apollonian metric and hyperbolic metric on disk;
圆上的Apollonian度量与双曲度量
3.
By using the properties of elliptic function we get the hyperbolic metrics of a rectangle at four points around its center.
利用椭圆函数的性质,给出了矩形区域在中心周围四点的双曲度量,并结合矩形区域的共形模,给出了模为m的矩形区域在相应四点的双曲密度。
4)  extended hyperbolic function
广义双曲函数
1.
Especially when f(x)= exp x ,those functions of the expansion are extended hyperbolic functions.
特别当f(x) =expx时 ,这一分割法就是广义双曲函数组 。
5)  Generalized hyperbolic distribution
广义双曲分布
1.
The normal inverse Gaussian distribution of the generalized hyperbolic distribution group and Matlab,Eviews and SPSS statistical software are used to study the distribution of the log-return series of A-share stock market\'s closing price in Shenzhen and Shanghai stock markets.
利用广义双曲分布族中的正态逆高斯分布,结合Matlab,Eviews和SPSS统计软件,对深、沪股市A股的收盘价所对应的日对数收益率进行了统计分析研究。
6)  Metric generalized inverse
度量广义逆
1.
Perturbation of Moore-Penrose Metric Generalized Inverse of Linear Operators in Banach Space
Banach空间中线性算子Moore-Penrose度量广义逆的扰动
2.
In this paper,we used the concept of metric generalized inverse,gave the characterization and construction of constrained extremal solutions of T(x)=h in the set of extremal solutions of L(x)=y.
运用线性算子的度量广义逆概念,在L(x)=y的极值解集合中,给出T(x)=h的约束极值解的精确刻画。
3.
Without the assumption that Banach space Y is reflexive and T is a densely defined linear operator with closed range from Banach space X to Y, it is proved that the metric generalized inverse of linear operator has closed convex range set-valued mapping by means of geometry of Banach space.
在Banach空间Y无自反和从Banach空间X到Y的线性算子T无闭值域和稠定的假定下,利用Banach空间几何方法证明了Banach空间中线性算子的度量广义逆是具有闭凸值的集值映射,建立了该度量广义逆的存在性、唯一性和等价表达式,并给出了此表达式的一个应用示例。
补充资料:可公度量和不可公度量


可公度量和不可公度量
ommensulble and incommensuable magnitudes (quantities)

  可公度t和不可公度t【~e璐u由lea目in~men-su.ble magultodes(quanti柱es);“洲口Mel娜M毗“”“”-113Mep目M曰e肠eJ皿,一皿曰』 如果两个同类量(例如两个长度或两个面积)具有或不具有公度(common measure,即另一个同类量,所考虑的两个量都是这个量的整数倍),则相应地称这两个量为可公度量或不可公度量.正方形的边长和对角线,或圆的面积和丫的半径的平方,都是不可公度量的例尹.如果两个量是可公度的,则‘l艺们的比是有理数;相反,不可公度量忿比是无理数、
  
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