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连续函数图像空间具有胞腔不相交性质
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作者 陈超 李婷爽 《韩山师范学院学报》 2014年第6期30-35,共6页
设C(I)表示所有从I=[0,1]到I的连续函数.对任意f∈C(I),令Gf={x,f(x)|x∈I}表示f的图像,G(I)={G}f|f∈C(I).赋予G(I)具有豪斯多夫度量d H,同时证明(G(I),d)H具有胞腔不相交性质.
关键词 连续函数 图像 豪斯多夫度量 胞腔不相交性质
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Correlation Analysis of Characters of Indica Hybrid Rice with High Content of Amylose 被引量:4
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作者 杨扬 况浩池 +4 位作者 曾正明 罗俊涛 陈光珍 何兴材 付均 《Agricultural Science & Technology》 CAS 2013年第3期475-477,共3页
[Objective] The aim was to research and analyze characters and related correlation of indica hybrid rice containing high amylose. [Method] In the research, major characters of 16 species of groups of {ndica hybrid ric... [Objective] The aim was to research and analyze characters and related correlation of indica hybrid rice containing high amylose. [Method] In the research, major characters of 16 species of groups of {ndica hybrid rice and the correlation were explored in rice belts in Sichuan in 2011. [Result] The variation of chalkiness degree was the highest at 26.8%, followed by rate of head rice at 22.89%; varia- tions of head rice rate and chalkiness degree were lower at 0.72% and 2.61%. In addition, rate of unpolished rice was of significantly negative correlation with chalki- ness degree; rate of chalky rice was of extremely positive correlation with chalkiness degree and gel consistency; chalkiness degree was of significantly positive correla- tion with gel consistency; gel consistency was of significantly negative correlation with protein content; amylose content was of insignificant correlation with gel consis- tency (r=0.166 9) of the 16 hybrid groups. These indicated that gel consistency would be still high as the content of amylose grows (AC≥25%). For example, when the content of anylose in Chuanxiang 29A/Luhui 37, Kangfeng AJ6684, and Lefeng A/SR536 exceeded 27%, the gel consistency was over 80 mm in the research. [Conclusion] The research provides references for improvement of amylose content in breeding hybrid rice. 展开更多
关键词 Higher amylose content Indica hybrid rice CHARACTERS Correlaiton analysis
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一类拟线性椭圆方程径向整体正解的分类性质 献给余家荣教授100华诞
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作者 郭宗明 周风 《中国科学:数学》 CSCD 北大核心 2019年第11期1573-1590,共18页
本文对如下拟线性方程整体径向正解进行分类研究:{r^-γ(rα|u′|βu′)′+|u|p-1u=0, 0<r<∞ u(0)=ρ>0, u′(0)=0.这类方程中的微分算子包含了径向函数空间中通常的Laplace算子、m-Laplace算子和k-Hessian算子.本文研究该类... 本文对如下拟线性方程整体径向正解进行分类研究:{r^-γ(rα|u′|βu′)′+|u|p-1u=0, 0<r<∞ u(0)=ρ>0, u′(0)=0.这类方程中的微分算子包含了径向函数空间中通常的Laplace算子、m-Laplace算子和k-Hessian算子.本文研究该类方程的任意两个解(包括奇异解)之间的相交和分离的性质,完整地给出各种情形下它们之间的相交数,解决了Miyamoto (2016)未解的一种情形. 展开更多
关键词 整体径向正解 相交性质 分离性质 超临界 拟线性
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New minimal surfaces in the hyperbolic space
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作者 CUI NingWei TENENBLAT Keti 《Science China Mathematics》 SCIE CSCD 2017年第9期1679-1704,共26页
We obtain new complete minimal surfaces in the hyperbolic space H3, by using Ribaucour transformations. Starting with the family of spherical catenoids in H^3 found by Mori(1981), we obtain 2-and 3-parameter families ... We obtain new complete minimal surfaces in the hyperbolic space H3, by using Ribaucour transformations. Starting with the family of spherical catenoids in H^3 found by Mori(1981), we obtain 2-and 3-parameter families of new minimal surfaces in the hyperbolic space, by solving a non trivial integro-differential system. Special choices of the parameters provide minimal surfaces whose parametrizations are defined on connected regions of R^2 minus a disjoint union of Jordan curves. Any connected region bounded by such a Jordan curve, generates a complete minimal surface, whose boundary at infinity of H^3 is a closed curve. The geometric properties of the surfaces regarding the ends, completeness and symmetries are discussed. 展开更多
关键词 minimal surfaces hyperbolic space Ribaucour transformations
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