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1)  quasi-minimal set
拟极小集
2)  Quasi Z-minimal Sets
拟Z-极小集
1.
In this paper, We define Quas Z-minimal Sets, the equivalent characterization of the Quasi Z-minimal Sets is introduced, and the mapping preserving Quasi Z-minimal Sets is given, so the two corresponding extention theorems are made by Rudin lemma.
定义了拟Z-极小集,并证明了拟Z-连续Domain的每个元都有拟Z-极小集,在拟Z-连续Domain中,给出了保拟Z-极小集映射的几个等价刻画,并且在此基础上,运用Rudin性质,得到了拟Z-连续Domain上的两个相应扩张定理。
3)  quasiminimal sets
拟定向极小集
1.
This paper defines quasiminimal sets,the equivalent characterization of the quasiminimal sets is introduced,and the mapping preserving quasiminimal sets is given,so the two corresponding extention theorems are made.
定义了拟定向极小集,并证明了拟连续Dom ain的每个元都有拟定向极小集,在拟连续Dom ain中,给出了保拟定向极小集映射的几个等价刻画,并且在此基础上得到了拟连续Dom ain上的两个相应扩张定理。
4)  likely limit sets
拟极限集
1.
We consider the likely limit sets of 3-order nonsingle-valley Feigenbaum s maps and their Hausdorff dimensions.
本文讨论了3阶非单谷Feigenbaum映射的拟极限集及其Hausdorff维数。
2.
On the basis of considering the likely limit sets of a 2q-order(q≥1) single-valley Feigenbaum s map and its Hausdorff dimension,the construction of likely limit sets is described,and the relative expression of its exact Hausdorff dimension is obtained.
讨论了2q阶(q≥1)单谷Feigenbaum映射的拟极限集及其Hausdorff维数,得到其结构,并给出了其准确的Hausdorff维数的关系式。
3.
On the basis of considering the likely limit sets of a 4-order Feigenbaum s map and their Hausdorff dimension, we have proved that for any t∈(0,log_(3+1)2), there always exits such a 4-order nonsingle-valley Feigenbaum s map which has a likely limit set with Hausdorff dimension t.
讨论一类 4阶 Feigenbaum映射的拟极限集及其 Hausdorff维数 ,并证明对任意t∈ ( 0 ,log 3+12 ) ,总存在一类具有简单轨的 4阶非单谷 Feigenbaum映射 ,它有一个以 t为Hausdorff维数的拟极限集 。
5)  likely limit set
拟极限集
1.
4-order nonsingle-valley Feigenbaum s maps without simple periodic orbits must bring chaos, chaos also bring the complication of the problem on the existence of likely limit sets.
讨论一类不具有简单轨的4阶Feigenbaum映射拟极限集的存在条件及其Hausdorff维数。
2.
In this paper, Hausdorff measure of likely limit sets of a type of infinite polymodal Feigenbaum map was calculated, so was a type of unimodal Feigenbaum map.
本文计算了一类无穷多峰 Feigenbaum映射和一类单峰 Feigenbaum映射的拟极限集的Hausdorff测
3.
The present paper proves that for any t∈(0,1) , there always exits such a Feigenbaum s map which has a likely limit set with Hausdorff dimension t .
证明对任意 t∈(0,1), 总存在一类单峰 Feigenbaum 映射, 它有一个以 t 为 Hausdorff维数的拟极限集。
6)  quasi minimization
拟极小化
补充资料:极小集


极小集
minimal set

极小集【而顽加目set;MH皿“M~oeM肋撰c卿1 l)R~nn空间中的极小集是极小曲面(而月面目51止自仗)的推广极小集是Rier姐nn空间M”中的灭维闭子集X。
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