1) Generalized metric addition
广义度量加
2) generalized weighted metric addition
广义加权度量加
1.
By using the generalized Menger metric embedding theory, we extended the definition of the generalized metric addition which two groups of two dead synclastic simplexes, the definition is introduced of the generalized weighted metric addition which finite groups of two dead synclastic simplexes.
利用广义Menger度量嵌入定理,推广了关于两组两个完全同向n维单形"广义度量加"的概念,提出了关于有限组两个完全同向n维单形的"广义加权度量加"的概念,并运用距离几何理论同矩阵不等式结合的方法,证明了几个涉及"广义加权度量加"的几何不等式,它们进一步推广了杨路和张景中关于Alexander猜想的结果,这些结论蕴含近期诸多文献的主要结果。
3) generalized acceleration vector
广义加速度矢量
4) 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。
5) generalized acceleration
广义加速度
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、
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条