maximal dilatation meaning in English
最大伸缩率
Examples
- In the theory of quasiconformal mappings , it is often difficult to evaluate the maximal dilatation of the extremal quasiconformal mapping . how to overcome the obstacle is also a hot point
在极值拟共形映射理论中，极值映射的最大伸缩商往往是难以计算的，如何解决这个问题也是拟共形映射理论中所要讨论的一个热点。 - According to the quasi - invariance of the moduli of quadrilaterals under quasiconformal mappings , it is natural to think of approximating the maximal dilatation of the extremal quasiconformal mapping by the ratios of the moduli of quadrilaterals . a key problem is : is it true that the supremum of the ratios of the moduli of quadrilaterals equals the maximal dilatation of the extremal quasiconformal mapping
根据拟共形映射下四边形模的拟不变性，利用四边形模之比来逼近它是人们比较容易想到的方法，但关键的问题是四边形模之比的上确界是否等于极值映射的最大伸缩商 - In this chapter , firstly , we apply a result of [ 20 ] to prove that for a class of quasisymmetric homeomorphisms with substantial boundary points , the maximal dilatation of the extremal quasiconformal extension equals the supremum of the ratios of the moduli of quadrilaterals , which improve the result of [ 148 ]
在本章中，我们首先利用了文[ 20 ]的结果，研究了单位圆周上一类具有本质边界点的拟对称同胚，证明了它的极值拟共形延拓的最大伸缩商等于四边形模之比的上确界，改进了文148的有关结果