R^d内自然覆盖族生成集的网测度及维数问题  

Network Measure and Dimension of Natural Coverage in R^d Cube

作　　者：乔正明[1] 

机构地区：[1]常州纺织服装职业技术学院数学教研室,常州213164

出　　处：《科学技术与工程》2010年第33期8109-8112,共4页Science Technology and Engineering

摘　　要：研究单位立方体内自然网覆盖生成集的网测度及维数的可能性,建立该集族的自然覆盖网诱导的网测度与通常Hausdorff的等价性。其次,考虑在广义自相似集下,分离自然覆盖族生成情形的维数与Hausdorff维数的等价性,简化部分分形集的计算。The network measure of natural net coverage producing collection and the possibility of dimension in unit cube are studied,and set up the equivalence between the network measure of natural coverage of the cluster and normal measure.Secondly,it simplifies the calculation of proportion fractal sets considering the equivalence between the dimension of departing natural coverage cluster production and the normal measure under self-similar fractal sets in broad sense.

关 键 词：网覆盖 网测度 相似集 HAUSDORFF维数 

分 类 号：O144.5[理学—数学]