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1)  absolutely continuous measure
绝对连续测度
2)  equi-absolutely continuous
等度绝对连续
3)  absolute equicontinuous
绝对等度连续
4)  absolute equicontinuous basis
绝对等度连续基
5)  absolute continuity
绝对连续
1.
The Singularity and Absolute Continuity of Fuzzy Measures;
FUZZY测度的奇异性与绝对连续性
2.
The characteritation of a Banach space no containing copy of C_0 has been given by the equivalence of absolute continuity of functions.
通过取值于 Banach空间中两种绝对连续函数的等价性刻画了不含c_0BanaCh空间的新特征。
3.
This paper deals with the characters of the support function, Aumann integral, bound variation and absolute continuity.
最后讨论了集值函数的可测性、有界变差性质、绝对连续性、及Aumann积分,得到有界变差集值函数与Aumann积分之间的关系,总变差与Aumann积分的关系,即给出了总变差的Aumann积分表示,并指出了集值函数的Newton-leibiniz公式成立的充分必要条件
6)  absolutely continuous
绝对连续
1.
Under a definite modular condition,the orientation-preserving self-homeomorphisms between disks are absolutely continuous on almost every radial(except any neighborhood of the zero point)are proved by using the Rengel inequality.
研究了复平面上保向同胚映射的径向绝对连续性。
2.
It is proved that if μ is not singular,then it is absolutely continuous with respect to Lebesgue measure.
本文证明了μ要么关于Lebesgue测度奇异,要么关于Lebesgue测度绝对连续。
补充资料:等度连续性


等度连续性
equkoatirarity

等度连续性[仰血期咐画灯;po.oeTeneo.a,.en衅叫一HocT司,函数集的 和连续函数集的紧性概念密切相关的一个概念.设X和Y是紧距离空间,C(X,Y)是从X到Y的连续映射的集合,集合DC=C(X,Y)称作是等度连续的(叹山。n石nUO留),如果对任意的£>O,存在占>0,使对一切x,,xZ任X,feD,从巧(x:,xZ)(占可推出p,(f(x,),f(xZ))(£.D的等度连续性等价于D在e(x,Y)中相对紧宇),此时e(x,y)被赋予距离 P(f,g)=moxP;(f(x),g(x)); 戈〔X这就是内雀1人一怂印五定理(为1汤一怂田h山图n改n).等度连续性的思想可以移植到一致空间.【译注】*)此句话前应加一句“当D有界时,”. 余庆余译
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