Quasisymmetric map
http://dbpedia.org/resource/Quasisymmetric_map an entity of type: Software
In mathematics, a quasisymmetric homeomorphism between metric spaces is a map that generalizes bi-Lipschitz maps. While bi-Lipschitz maps shrink or expand the diameter of a set by no more than a multiplicative factor, quasisymmetric maps satisfy the weaker geometric property that they preserve the relative sizes of sets: if two sets A and B have diameters t and are no more than distance t apart, then the ratio of their sizes changes by no more than a multiplicative constant. These maps are also related to quasiconformal maps, since in many circumstances they are in fact equivalent.
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數學上，度量空間之間的擬對稱映射，是雙利普希茨映射的一個推廣。雙利普希茨映射把一個集合的直徑擴大或縮小不超過某常數倍，而擬對稱映射就適合一個較弱的幾何性質，就是保持了集合的相對大小：如果集合A和B有直徑t，其間距離不超過t，那麼這兩個集合的大小的比例改變不超過某常數倍。擬對稱映射和擬共形映射也有關係，因為在很多情況這兩者其實等價。
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Quasisymmetric map
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擬對稱映射
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30220726
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1042162474
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In mathematics, a quasisymmetric homeomorphism between metric spaces is a map that generalizes bi-Lipschitz maps. While bi-Lipschitz maps shrink or expand the diameter of a set by no more than a multiplicative factor, quasisymmetric maps satisfy the weaker geometric property that they preserve the relative sizes of sets: if two sets A and B have diameters t and are no more than distance t apart, then the ratio of their sizes changes by no more than a multiplicative constant. These maps are also related to quasiconformal maps, since in many circumstances they are in fact equivalent.
rdf:langString
數學上，度量空間之間的擬對稱映射，是雙利普希茨映射的一個推廣。雙利普希茨映射把一個集合的直徑擴大或縮小不超過某常數倍，而擬對稱映射就適合一個較弱的幾何性質，就是保持了集合的相對大小：如果集合A和B有直徑t，其間距離不超過t，那麼這兩個集合的大小的比例改變不超過某常數倍。擬對稱映射和擬共形映射也有關係，因為在很多情況這兩者其實等價。
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7722