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A Class of the Geometric Inequalities Involving k-Brocard Distance 被引量:5
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作者 WEN Jia-jin KE Rui LUE Tao 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2006年第2期210-219,共10页
让 P 是凸的 N-gon N 的一个内部点:A1A2 ANA1 (N3 ) ,和让的 di, k 从点 Ai+k 表示距离到线白族(i=1,2,, N, Ai=Aj() ij (modN )) ,它为 N 的 P 被称为 k-Brocard 距离。我们证明了下列双不平等:如果 P N, k = Ni=1Ai-kAiAi+k... 让 P 是凸的 N-gon N 的一个内部点:A1A2 ANA1 (N3 ) ,和让的 di, k 从点 Ai+k 表示距离到线白族(i=1,2,, N, Ai=Aj() ij (modN )) ,它为 N 的 P 被称为 k-Brocard 距离。我们证明了下列双不平等:如果 P N, k = Ni=1Ai-kAiAi+k (1kN/2, i=1,2,, N ) ,并且 r1nN-1n (N-1 )/1n2+2 [1nN-1n (N-1 )] ,那么(1/NNi=1dri, k ) 1/r1/Ncosk/NNi=1 | AiAi+k|sin2k/N/2sin/N (1/NNi=1 | AiAi+1|2 ) 展开更多
关键词 HOELDER不等式 Janous-Klamkin猜想 几何不等式 内部点
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THE BOREL DIRECTIONS OF ALGEBROIDAL FUNCTION AND ITS COEFFICIENT FUNCTIONS 被引量:2
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作者 张少华 张晓梅 孙道椿 《Acta Mathematica Scientia》 SCIE CSCD 2014年第2期241-251,共11页
In this article, the relationship between the Borel direction of algebroidal function and its coefficient functions is studied for the first time. To begin with, several theorems of algebroidal functions in unit disk ... In this article, the relationship between the Borel direction of algebroidal function and its coefficient functions is studied for the first time. To begin with, several theorems of algebroidal functions in unit disk are proved. By these theorems, some interesting conclusions are obtained. 展开更多
关键词 Algebroidal function coefficient function Borel direction.
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Finite Simple Lattice Implication Algebras 被引量:1
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作者 ZHU Yi-quan 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2008年第3期423-429,共7页
在这份报纸,有限格子含意代数学简单的一些必要、足够的条件是 established.Specially ,如果并且仅当,有限格子含意代数学 L 简单,这被证明如果并且仅当( L ,)是链,如果并且仅当在那里存在在 L.Also 的唯一的双原子,有一个素数... 在这份报纸,有限格子含意代数学简单的一些必要、足够的条件是 established.Specially ,如果并且仅当,有限格子含意代数学 L 简单,这被证明如果并且仅当( L ,)是链,如果并且仅当在那里存在在 L.Also 的唯一的双原子,有一个素数的顺序的有限格子含意代数学简单,这被给。 展开更多
关键词 有限单纯格 蕴涵代数 模糊数学 抽象代数
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A novel wavelet method for electric signals analysis in underwater arc welding
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作者 张为民 王国荣 +1 位作者 石永华 钟碧良 《China Welding》 EI CAS 2009年第2期12-16,共5页
Electric signals are acquired and analyzed in order to monitor the underwater arc welding process. Voltage break point and magnitude are extracted by detecting arc voltage singularity through the modulus maximum wavel... Electric signals are acquired and analyzed in order to monitor the underwater arc welding process. Voltage break point and magnitude are extracted by detecting arc voltage singularity through the modulus maximum wavelet (MMW) method. A novel threshold algorithm, which compromises the hard-threshold wavelet (HTW) and soft-threshold wavelet (STW) methods, is investigated to eliminate welding current noise. Finally, advantages over traditional wavelet methods are verified by both simulation and experimental results. 展开更多
关键词 underwater arc welding electric signals wavelet method threshold algorithm
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