对于集x中任意元素 x,y,若实值函数d:(X,X)->R符合若干条件,称它为一个伪度量(pseudometric)。
伪度量一致性 uniformity generated by a pseudometric ; [数] pseudo-metric uniformity
线性伪度量空间 [数] linear pseudometric space
伪度量空间 [数] pseudo-metric space
伪度量齐次性的 [数] pseudometric homogeneous
伪度量左不变量 [数] pseudometric left-invariant
双不变伪度量 [数] two-sided invariant pseudometric
点式伪度量 pointwise pseudo-metric
密着伪度量空间 [数] indiscrete pseudometric space
In this paper,we firstly study the existence of the self-affine set generated by the iterated function system;Then,according to the properties of pseudo-norm w(x)5,we show that if the system satisfies the open set condition,then the strong open set condition also holds.
本文首先讨论了该函数迭代系统的自仿集是存在的;然后利用伪度量w(x)5,证明了如果该函数迭代系统满足开集条件,则强开集条件也成立。
参考来源 - 关于某类自仿射函数迭代系统的开集条件与强开集条件·2,447,543篇论文数据,部分数据来源于NoteExpress
本文给出了2—PM空间的可度量化条件及度量函数、伪度量函数,从而把PM空间上的有关结论推广到2—PM空间上。
This paper gives the metrizable conditions of 2-probabilistic metric space (2-pm space), its distance function and pseudo distance function, thus extends some conclusions of PM-space to 2-pm space.
本文证明了球面有限点集的伪对称性可以完全由其特征多项式的根来刻画,并得到了在度量加运算下伪对称性具有封闭性。
In this paper, we show that the Pseudo-Symmetric property of spherical point set can be characterized by the eigen values of eigenpolynomial and it has the closeness under the metric sum operation.
本文给出紧致度量空间逐点伪轨跟踪性质的定义,该定义是伪轨跟踪性质定义的推广。
In this paper, the pointwise pseudo-orbit tracing property is defined on a compact metric space, and it is a generalization of pseudo-orbit tracing property.
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