2) Self-similar sets
自相似集
1.
They establish the necessary condition for sets C∪(C+α)∪(C+β) be self-similar sets by Cantor expressions and prove that sets C∪(C+α)∪(C+β) are not self-similar sets when all components of expression of β are two.
讨论了三个Cantor集平移并的自相似性,利用Cantor展式,确立了C∪(C+α)∪(C+β)为自相似集时,α,β的取值范围,同时证明了当β的Cantor展式中全为2时C∪(C+α)∪(C+β)不是自相似集。
2.
The self-similar sets satisfying the open condition have been studied.
讨论了满足开集条件的自相似集。
3) self similar set
自相似集
1.
In order to count the Hausdorff measure,a computation formula for the general fractals and a reduced one for the self similar sets satisfying the open set condition are obtained.
把计算Ｈａｕｓｄｏｒｆｆ 测度转化成极限过程， 对一般分形得到１ 个一般模型， 而对自相似集则得到１ 个约化模型。
2.
If K is a self similar set which satisfies strong separated condition,th.
设K为一满足强分离条件的自相似集,则对任意0＜s＜∞可以构造度量ρ使得K在(K,ρ)中仍为自相似集并且0＜H~s(K)＜∞。
4) Self-similar set
自相似集
1.
On One Property of Self-Similar Set Sequence;
关于自相似集列的一个性质
2.
Three theorems on super self-similar sets;
关于上自相似集的三个定理
5) sub-self-similar set
子自相似集
1.
In this paper, using symbolic dynamics, we study the continuity of the Hausdorff dimension of sub-self-similar sets introduced by K.
应用符号动力系统 ,讨论了由Falconer定义的子自相似集的Hausdorff维数的连续性 ,得到了子自相似集的Hausdorff维数和盒维数的新公
6) sub self similar set
次自相似集
1.
First of all we introduce the concepts for random sub self similar sets and randon shift sets, and then investigate the structure of random sub self similar set, finally we obtain that the necessary and suffieient condition for amy random set being a random sub self similar set is that this random set can be expressed by an image set on some randvm shift set.
本文引进了随机次自相似集与随机推移集的概念 ,讨论了随机次自相似集的结构 ,并证明了任一随机集是随机次自相似集的充分必要条件是 :该随机集可以表为某一个随机推移集的某个像
补充资料：相似集
相似集
similar sets
相似集I面111肠r sets;no加6H研M，o袱ec皿] 初等几何相似性(51耐arity)概念的推广.分别被，和少全序的两个集合A和B称为相似的，如果存在一个一一映射(bijection)f:A~B，使得对任意x，夕任A，只要x，y，就有f(义)夕f(y). M.H，Bc面Jex阳cx戒撰【补注】全序集在相似关系下的一个等价类常常称为序型(older type)(亦见全序集(totally orderedset):序型(ordert”姆)).卢景波译
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