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1)  p mean sharp operator
p均方平削算子
1.
As q_Φ≥p or p_Φ≤p,the Φ inequalities of the p mean operators,conditional p mean operators,p mean sharp operators and conditional p mean sharp operators for martingales are proved respectively,and then,the sharpness of the coefficients of those inequalities are also investigated.
证明了鞅的p均方算子、p条件均方算子、p均方平削算子和p条件均方平削算子在qΦ≥p和pΦ≤p时鞅的一些Φ不等式,并讨论其中的不等式的系数的优良性。
2)  p mean operator
p均方算子
1.
As q_Φ≥p or p_Φ≤p,the Φ inequalities of the p mean operators,conditional p mean operators,p mean sharp operators and conditional p mean sharp operators for martingales are proved respectively,and then,the sharpness of the coefficients of those inequalities are also investigated.
证明了鞅的p均方算子、p条件均方算子、p均方平削算子和p条件均方平削算子在qΦ≥p和pΦ≤p时鞅的一些Φ不等式,并讨论其中的不等式的系数的优良性。
3)  Sharp operator
平削算子
1.
The  Φ norm inequality of sharp operator is proved.
证明了平削算子的Φ范数不等式,得出平削算子是Φ上有界算子。
4)  average operator
平均算子
1.
Based on rough sets and average operator,extended decision rules of the probabilistic information system were obtained.
根据粗糙集理论,采用平均算子,获取概率信息系统的扩展决策规则集。
5)  operator mean
算子平均
1.
The main purpose of this thesis is generalizing the Furuta inequalityby the theory of operator mean and the theory of operator monotonicity,and applying these theories to C~*-algebra.
本文的主要目的是综合运用算子平均理论和算子单调性理论从条件和结果着手将Furuta不等式进行推广,并将算子平均的理论应用到C~*-代数中。
6)  averaging operator
平均算子
补充资料:方平
1.传说中汉桓帝时神仙王远的字。
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