maximal dilatation 中文意思是什麼
maximal dilatation
解釋
最大伸縮率- maximal : adj. 極為可能的；最大的；最高的；最全的。adv. -ly
- dilatation : 1. 擴張，膨脹。2. 【醫學】擴張（癥）；擴張術。3. （說話、寫文章的）鋪敘，詳述。
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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
在極值擬共形映射理論中，極值映射的最大伸縮商往往是難以計算的，如何解決這個問題也是擬共形映射理論中所要討論的一個熱點。 -
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，我們首先利用了文[ 20 ]的結果，研究了單位圓周上一類具有本質邊界點的擬對稱同胚，證明了它的極值擬共形延拓的最大伸縮商等於四邊形模之比的上確界，改進了文148的有關結果 -
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
根據擬共形映射下四邊形模的擬不變性，利用四邊形模之比來逼近它是人們比較容易想到的方法，但關鍵的問題是四邊形模之比的上確界是否等於極值映射的最大伸縮商
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