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B值测度的紧性
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作者 杨新建 《湖南师范大学自然科学学报》 EI CAS 北大核心 2005年第3期1-3,共3页
设(Ω,F)为一可测空间,X是一个Banach空间.设M(F,X)={F:F是定义于(Ω,F)上取值于X的依范数收敛的可数可加测度}.在M(F,X)中定义了二种收敛性,分别给出了M(F,X)中的子集在这二种收敛性导出的拓扑下是相对紧的充分必要条件.这些结果可看... 设(Ω,F)为一可测空间,X是一个Banach空间.设M(F,X)={F:F是定义于(Ω,F)上取值于X的依范数收敛的可数可加测度}.在M(F,X)中定义了二种收敛性,分别给出了M(F,X)中的子集在这二种收敛性导出的拓扑下是相对紧的充分必要条件.这些结果可看作是著名的Vitali-Hahn-Saks定理的深化和扩充. 展开更多
关键词 b空间 b值测度 相对紧集 一致可数可加
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B值鞅型序列性质的再探讨 被引量:2
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作者 梁泽霖 钱能生 《常熟理工学院学报》 2009年第8期19-21,共3页
设B为有限维Banach空间,通过研究B值鞅序列之间的关系,得到了B值鞅型序列的两个重要的定理,一个体现在B值akp序列中,另一个体现在B值拟鞅中,并对它们予以证明.
关键词 b拟鞅 bakp序列 b值测度
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Laboratory investigation on relationship between degree of saturation, B-value and P-wave velocity 被引量:4
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作者 GU Xiao-qiang YANG Jun HUANG Mao-song 《Journal of Central South University》 SCIE EI CAS 2013年第7期2001-2007,共7页
Laboratory tests were performed on Toyoura sand specimens to investigate the relationship between degree of saturation Sr, B-value and P-wave velocity Vp. Different types of pore water (de-aired water or tap water) ... Laboratory tests were performed on Toyoura sand specimens to investigate the relationship between degree of saturation Sr, B-value and P-wave velocity Vp. Different types of pore water (de-aired water or tap water) and pore gas (air or CO2) as well as different magnitudes of back pressure were used to achieve different Sr (or B-value). The measured relationship between B-value and Vp was not consistent with the theoretical prediction. The measurement shows that the Vp value in the specimen flushed with de-aired water is independent of B-value (or St) and is always around the one in fully saturated condition. However, the Vp value in the specimen flushed with tap water increases with B-value, but the shape of the relationship between Vp and B-value is quite different from the theoretical prediction. The possible explanation for the discrepancy between laboratory measurement and theoretical prediction lies in that the air exists in the water as air bubbles and therefore the pore fluid (air-water mixture) is heterogeneous instead of homogenous assumed in the theoretical prediction. 展开更多
关键词 degree of saturation b-VALUE P-wave velocity bender element
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