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The Precise Order and Singular Directions of Meromorphic Functions 被引量:2
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作者 张学莲 《Journal of Beijing Institute of Technology》 EI CAS 1997年第1期14-18,共5页
The rnemmorphic functions of positive order(both finite positive order and infinite order) are discussed.First,the precise order and type function are given by using the characteristic function.Then some singular dire... The rnemmorphic functions of positive order(both finite positive order and infinite order) are discussed.First,the precise order and type function are given by using the characteristic function.Then some singular directions are defined and their existence is proved. 展开更多
关键词 metamorphic function singular direction precise order
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ON THE SINGULAR DIRECTIONS OF VALUE DISTRIBUTION OF HOLOMORPHIC CURVES IN P^n(C) 被引量:2
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作者 涂振汉 李平丽 《Acta Mathematica Scientia》 SCIE CSCD 2006年第4期702-710,共9页
This article proves the existence of singular directions of value distribution theory for some transcendental holomorphic curves in the n-dimensional complex projective space P^n(C).. An example is given to compleme... This article proves the existence of singular directions of value distribution theory for some transcendental holomorphic curves in the n-dimensional complex projective space P^n(C).. An example is given to complement these results. 展开更多
关键词 Complex projective spaces holomorphic mappings normal families singular directions and value distribution theory
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Singular Directions and Differential Polynomials of Meromorphic Functions
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作者 陈怀惠 龚向宏 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1992年第4期424-431,共8页
We prove the existance of a kind of singular directions concerning the differentialpolynomials f(k)+sum from j=0 to k-1 ajfj-afn
关键词 singular directions and Differential Polynomials of Meromorphic Functions
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UNIQUENESS OF MEROMORPHIC FUNCTIONS WHOSE NONLINEAR DIFFERENTIAL POLYNOMIALS SHARE ONE VALUE OR HAVE THE SAME FIXED POINTS IN AN ANGULAR DOMAIN 被引量:1
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作者 李效敏 仪洪勋 《Acta Mathematica Scientia》 SCIE CSCD 2014年第3期593-609,共17页
In this article, we study the uniqueness question of nonconstant meromorphic functions whose nonlinear differential polynomials share 1 or have the same fixed points in an angular domain. The results in this article i... In this article, we study the uniqueness question of nonconstant meromorphic functions whose nonlinear differential polynomials share 1 or have the same fixed points in an angular domain. The results in this article improve Theorem 1 of Yang and Hua [26], and improve Theorem 1 of Fang and Qiu [6]. 展开更多
关键词 Meromorphic functions shared values singular directions uniqueness theo-reins in the angular domain
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基于纹理方向性的非下采样剪切波水印算法 被引量:2
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作者 赵健 范帅帅 +1 位作者 徐文胜 张婉如 《计算机工程》 CAS CSCD 北大核心 2018年第1期263-267,共5页
为解决水印算法中不可见性与鲁棒性不可兼顾最优的问题,提出一种新的非下采样剪切波数字水印算法。对图像使用剪切波变换,变换后选取最强纹理方向性的子带作为水印的嵌入位置,利用奇异值分解实现水印的嵌入。实验结果表明,该算法结构相... 为解决水印算法中不可见性与鲁棒性不可兼顾最优的问题,提出一种新的非下采样剪切波数字水印算法。对图像使用剪切波变换,变换后选取最强纹理方向性的子带作为水印的嵌入位置,利用奇异值分解实现水印的嵌入。实验结果表明,该算法结构相似性达到0.99以上,含水印图像在经过不同形式的攻击后,水印能够较好地被提取出来,且归一化相关系数平均值达到0.98,具有较好的鲁棒性。 展开更多
关键词 数字水印 纹理方向性 非下采样剪切波变换 奇异值分解 鲁棒性 不可见性
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F-knowledge and Its F-reduction Theorems
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作者 ZHOU Hou-yong ZHAO Wen-ju SHI Kai-quan 《Chinese Quarterly Journal of Mathematics》 CSCD 2010年第4期607-614,共8页
By using the dual of one direction singular rough sets,the concepts of F-knowledge and its F-reduction were given;F-reduction theorem of F-knowledge and attribute supplement redundant principle of F-reduction are pres... By using the dual of one direction singular rough sets,the concepts of F-knowledge and its F-reduction were given;F-reduction theorem of F-knowledge and attribute supplement redundant principle of F-reduction are presented;the dual of one direction singular rough sets is one of the basic forms of singular rough sets;knowledge reduction is a new research direction on rough sets and rough system theory. 展开更多
关键词 the dual of one direction singular rough sets F-knowledge F-reduction F-reduction theorem attribute supplement redundant principle
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