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半局部环上的正交维数 被引量:1
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作者 谢燕萍 周德旭 《福建师范大学学报(自然科学版)》 CAS CSCD 北大核心 2014年第1期1-4,9,共5页
在半局部环R上,给出了模R/J(R)与环R的右Ext-正交维数和右Tor-正交维数,即A⊥-D(R),A⊥-dim(R/J),A⊥-D(R),A⊥-dim(R/J)四维数相等的条件.作为推论,得到常见维数的若干等式关系.
关键词 半局部环 正交维数 JACOBSON根
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有限平坦维数的Tor-自正交模(英文)
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作者 狄振兴 刘仲奎 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第3期71-76,共6页
设R为一环,ω_R为Tor-自正交模.引入模的右Tor-正交维数(相对于ω_R)这一概念,并且给出了一种计算模的这种相对右Tor-正交维数的准则.对一个交换、凝聚的半局部环R和一有限表示的Tor-自正交模R-模ω,将证明ω的平坦维数与R/J的右Tor-正... 设R为一环,ω_R为Tor-自正交模.引入模的右Tor-正交维数(相对于ω_R)这一概念,并且给出了一种计算模的这种相对右Tor-正交维数的准则.对一个交换、凝聚的半局部环R和一有限表示的Tor-自正交模R-模ω,将证明ω的平坦维数与R/J的右Tor-正交维数(相对于ω_R)是相等的,其中J为环R的Jacobson根.作为上述结果的推论,得到了ω有有限的平坦维数当且仅当每一个(有限表示的)R-模有有限的右Tor-正交维数(相对于ω_R)的结论.最后,若ωR是一Tor-倾斜模,得到了一个左R-模有有限右Tor-正交维数(相对于ω_R)的一些等价条件. 展开更多
关键词 Tor-自交模 平坦维 右Tor-正交维数 Tor-倾斜模 x-分解维
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希尔伯特空间H中两种维数的比较 被引量:1
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作者 吴亚敏 《太原师范学院学报(自然科学版)》 2013年第3期36-37,共2页
希尔伯特空间H(Hilbert space)具有两种维数,一种是正交维数,另一种是线性维数.文章简述这两种维数概念之间的关系,得到希尔伯特空间H的线性维数大于或等于正交维数的结论.
关键词 希尔伯特空间 欧几里得空间 正交维数 线性维
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Two interannual variability modes of the Northwestern Pacific Subtropical Anticyclone in boreal summer 被引量:3
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作者 HE Chao ZHOU TianJun +1 位作者 ZOU LiWei ZHANG LiXia 《Science China Earth Sciences》 SCIE EI CAS 2013年第7期1254-1265,共12页
Using the reanalysis data and 20th century simulation of coupled model FGOALS_gl developed by LASG/IAP, we identified two distinct interannual modes of Northwestern Pacific Subtropical Anticyclone (NWPAC) by perform... Using the reanalysis data and 20th century simulation of coupled model FGOALS_gl developed by LASG/IAP, we identified two distinct interannual modes of Northwestern Pacific Subtropical Anticyclone (NWPAC) by performing Empirical Orthogonal Function (EOF) analysis on 850 hPa wind field over the northwestern Pacific in summer. Based on the associated anoma- lous equatorial zonal wind, these two modes are termed as "Equatorial Easterly related Mode" (EEM) and "Equatorial Westerly related Mode" (EWM), respectively. The formation mechanisms of these two modes are similar, whereas the maintenance mechanisms, dominant periods, and the relationships with ENSO are different. The EEM is associated with E1 Nifio decaying phase, with the anomalous anticyclone established in the preceding winter and persisted into summer through local positive air-sea feedback. By enhancing equatorial upwelling of subsurface cold water, EEM favors the transition of ENSO from E1 Nifio to La Nifia. The EWM is accompanied by the E1 Nifio events with long persistence, with the anomalous anticyclone formed in spring and strengthened in summer due to the warm Sea Surface Temperature anomalies (SSTA) forcing from the equatorial central-eastern Pacific. The model well reproduces the spatial patterns of these two modes, but fails to simulate the percentage variance accounted for by the two modes. In the NCEP reanalysis (model result), EEM (EWM) appears as the first mode, which accounts for 35.6% (68.2%) of the total variance. 展开更多
关键词 Northwestern Pacific Subtropical Anticyclone interannual variability mode equatorial easterly related mode equato-rial westerly related mode ENSO
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A dimension-wise method for the static analysis of structures with interval parameters
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作者 XU MengHui QIU ZhiPing 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2014年第10期1934-1945,共12页
A novel method for the static analysis of structures with interval parameters under uncertain loads is proposed, which overcomes the inherent conservatism introduced by the conventional interval analysis due to ignori... A novel method for the static analysis of structures with interval parameters under uncertain loads is proposed, which overcomes the inherent conservatism introduced by the conventional interval analysis due to ignoring the dependency phenomenon. Instead of capturing the extremum of the structural static responses in the entire space spanned by uncertain parameters, their lower and upper bounds are calculated at the minimal and maximal point vectors obtained dimension by dimension with respect to uncertain parameters based on the Legend orthogonal polynomial approximation, overcoming the potential engineering insignificance caused by the optimization strategy. After performing its theoretical analysis, both the accuracy and applicability of the proposed method are verified. 展开更多
关键词 static analysis finite element method interval parameters interval analysis Legendre polynomial approximation
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