Let G be a finite group with the property that for any conjugacy class order, G has exactly two conjugacy classes which have the same order. We prove that： （1） ff a Sylow 2-subgroup of G is Abelian, then G is isomo...Let G be a finite group with the property that for any conjugacy class order, G has exactly two conjugacy classes which have the same order. We prove that： （1） ff a Sylow 2-subgroup of G is Abelian, then G is isomorphic to the direct product of symmetric group with order 3 and cyclic group with order 2, or G is isomorphic to the semidirect product of a cyclic group with order 3 and a cyclic group with order 4; （2） if G＇ is nilpotent, then G is a group of {2,3,5 }.展开更多
A finite group G is called a Camina group if G has a proper normal subgroup N such that gN is precisely a conjugacy class of G for any g ∈E G - N. In this paper, the structure of a Camina group G is determined when N...A finite group G is called a Camina group if G has a proper normal subgroup N such that gN is precisely a conjugacy class of G for any g ∈E G - N. In this paper, the structure of a Camina group G is determined when N is a union of 2, 3 or 4 conjugacy classes of G.展开更多
The restriction fragnent length polymorphisms （RFLPs） of HLA class I genes in 104 unrelated healthy Chinese individuals were analyzed with Southern blot assay. The DNAs from peripheral blood leucocytes were digested...The restriction fragnent length polymorphisms （RFLPs） of HLA class I genes in 104 unrelated healthy Chinese individuals were analyzed with Southern blot assay. The DNAs from peripheral blood leucocytes were digested with EcoRI, EcoRV and XbaI respectively, and hybridized with <sup>32</sup>P-labeled HLA class I probe （ 1.4Kb, B7 cDNA ）. The results showed that 3 EcoRI fragments （13.7, 8.1 and 5.2 Kb ）, 3 EcoR V fragments （11.3, 7.8 and 4.1 Kb） and 7 Xbal fragmnents （21.9, 19.2, 16.3, 6.0, 3.8, 1.8 and 1.5 Kb） were polymorphic. Ten of the fragments were found to be correlated significantly with the serologically de fined antigen specificities. The significance of this kind of correlation is discussed.展开更多
Proposition If y（t）, b（t） ∈ VDF ∩ VH（μ） （[1]）, then||Ky||μ≤q||b||μ||y||μ,（1）where q is a constant and Ky=-b（t）/πi <sub>L</sub>0 y（s） （ζ（t））ds.Proof. Let w（t） =1/πi <sub>...Proposition If y（t）, b（t） ∈ VDF ∩ VH（μ） （[1]）, then||Ky||μ≤q||b||μ||y||μ,（1）where q is a constant and Ky=-b（t）/πi <sub>L</sub>0 y（s） （ζ（t））ds.Proof. Let w（t） =1/πi <sub>L</sub><sub>0</sub> y（s）- y（t）/s-t ds and t<sub>1</sub>-t<sub>0</sub>=h. Suppose a path l = t’t<sub>0</sub> U t<sub>0</sub>t″, we obtainBy a complicated calculation, it can be展开更多
在复杂产品的制造过程中,轮廓(profile)数据是一类广泛存在的质量数据类型。为了能够尽快监测出线性轮廓内自相关过程中的异常,针对质量数据仅存在正常样本的情况,提出了基于一类支持向量机(one-class Support Vector Machine,OCSVM)的...在复杂产品的制造过程中,轮廓(profile)数据是一类广泛存在的质量数据类型。为了能够尽快监测出线性轮廓内自相关过程中的异常,针对质量数据仅存在正常样本的情况,提出了基于一类支持向量机(one-class Support Vector Machine,OCSVM)的监控方法。首先,介绍OCSVM方法原理;其次,构建OCSVM监控模型,通过数值仿真实验模拟得到平均运行长度,并给出详细的仿真过程;再次,以平均运行长度为准则,分析高斯核函数与多项式核函数对OCSVM方法监控性能的影响,结果表明:监控AR(1)模型时,多项式核函数具有优势;最后,将多项式核函数的仿真结果与传统的一些控制图进行对比,结果表明:当标准差以及斜率、截距同时发生变化时,OCSVM方法监控效果优于其他控制图;当自相关系数ρ=0.1(弱相关)截距发生较大偏移以及ρ=0.9(强相关)截距发生偏移时,OCSVM方法监控效果优于其他控制图。展开更多
基金The Natural Science Foundation ofChongqing Education Committee (No.KG051107)
文摘Let G be a finite group with the property that for any conjugacy class order, G has exactly two conjugacy classes which have the same order. We prove that： （1） ff a Sylow 2-subgroup of G is Abelian, then G is isomorphic to the direct product of symmetric group with order 3 and cyclic group with order 2, or G is isomorphic to the semidirect product of a cyclic group with order 3 and a cyclic group with order 4; （2） if G＇ is nilpotent, then G is a group of {2,3,5 }.
基金The NSF (10771132) of Chinathe Science and Technology Foundation (20081022) of Shanxi Province for Collegesthe Team Innovation Research Foundation of Shanxi University of Finance and Economics
文摘A finite group G is called a Camina group if G has a proper normal subgroup N such that gN is precisely a conjugacy class of G for any g ∈E G - N. In this paper, the structure of a Camina group G is determined when N is a union of 2, 3 or 4 conjugacy classes of G.
文摘The restriction fragnent length polymorphisms （RFLPs） of HLA class I genes in 104 unrelated healthy Chinese individuals were analyzed with Southern blot assay. The DNAs from peripheral blood leucocytes were digested with EcoRI, EcoRV and XbaI respectively, and hybridized with <sup>32</sup>P-labeled HLA class I probe （ 1.4Kb, B7 cDNA ）. The results showed that 3 EcoRI fragments （13.7, 8.1 and 5.2 Kb ）, 3 EcoR V fragments （11.3, 7.8 and 4.1 Kb） and 7 Xbal fragmnents （21.9, 19.2, 16.3, 6.0, 3.8, 1.8 and 1.5 Kb） were polymorphic. Ten of the fragments were found to be correlated significantly with the serologically de fined antigen specificities. The significance of this kind of correlation is discussed.
文摘Proposition If y（t）, b（t） ∈ VDF ∩ VH（μ） （[1]）, then||Ky||μ≤q||b||μ||y||μ,（1）where q is a constant and Ky=-b（t）/πi <sub>L</sub>0 y（s） （ζ（t））ds.Proof. Let w（t） =1/πi <sub>L</sub><sub>0</sub> y（s）- y（t）/s-t ds and t<sub>1</sub>-t<sub>0</sub>=h. Suppose a path l = t’t<sub>0</sub> U t<sub>0</sub>t″, we obtainBy a complicated calculation, it can be
文摘在复杂产品的制造过程中,轮廓(profile)数据是一类广泛存在的质量数据类型。为了能够尽快监测出线性轮廓内自相关过程中的异常,针对质量数据仅存在正常样本的情况,提出了基于一类支持向量机(one-class Support Vector Machine,OCSVM)的监控方法。首先,介绍OCSVM方法原理;其次,构建OCSVM监控模型,通过数值仿真实验模拟得到平均运行长度,并给出详细的仿真过程;再次,以平均运行长度为准则,分析高斯核函数与多项式核函数对OCSVM方法监控性能的影响,结果表明:监控AR(1)模型时,多项式核函数具有优势;最后,将多项式核函数的仿真结果与传统的一些控制图进行对比,结果表明:当标准差以及斜率、截距同时发生变化时,OCSVM方法监控效果优于其他控制图;当自相关系数ρ=0.1(弱相关)截距发生较大偏移以及ρ=0.9(强相关)截距发生偏移时,OCSVM方法监控效果优于其他控制图。
基金国家自然科学基金(No.10871021No.10871032)+3 种基金"Agencija za raziskovalno dejavnost Republike Slovenije"proj.mladi raziskovalci"Agencija za raziskovalno dejevnost Republike Slovenije".research program P1-0285高等学校博士学科点专项科研基金(No.20060285002)资助的项目.
