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Orlicz序列空间的(k)性质 被引量:3
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作者 左明霞 彭丽娜 《哈尔滨理工大学学报》 CAS 北大核心 2017年第6期122-126,130,共6页
(k)性质是Banach空间中一个重要的几何性质,它与弱不动点性质密切相关。利用Banach空间及Orlicz空间的几何理论,研究(k)性质在一类具体的Banach空间——Orlicz序列空间中的刻画问题。给出了赋Luxemburg范数和赋Orlicz范数的Orlicz序列... (k)性质是Banach空间中一个重要的几何性质,它与弱不动点性质密切相关。利用Banach空间及Orlicz空间的几何理论,研究(k)性质在一类具体的Banach空间——Orlicz序列空间中的刻画问题。给出了赋Luxemburg范数和赋Orlicz范数的Orlicz序列空间具有(k)性质的判别准则。作为推论,得到了这类空间具有弱不动点性质的一个充分条件。 展开更多
关键词 ORLICZ序列空间 LUXEMBURG范数 ORLICZ范数 (k)性质
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具有F_(k)性质的环的2个交换性条件
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作者 杜君花 吴险峰 高晓巍 《高师理科学刊》 2021年第11期1-3,共3页
利用根性、幂零性、正则元、中心、零因子环等相关知识,对具有F_(k)性质的环进行研究,推导出了具有F_(k)性质的环的2个交换性条件.
关键词 F_(k)性质 正则元 交换性
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Orlicz-Bochner序列空间的(K)性质
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作者 闫二路 石忠锐 《应用数学与计算数学学报》 2018年第3期631-643,共13页
讨论Orlicz-Bochner序列空间的(K)性质,利用生成函数M及Orlicz-Bochner序列空间的性质,并在假设Banach空间X具有Schur性质的前提下,得到Orlicz-Bochner序列空间具有(K)性质的充要条件,进而得到Orlicz-Bochner序列空间具有弱不动点性质... 讨论Orlicz-Bochner序列空间的(K)性质,利用生成函数M及Orlicz-Bochner序列空间的性质,并在假设Banach空间X具有Schur性质的前提下,得到Orlicz-Bochner序列空间具有(K)性质的充要条件,进而得到Orlicz-Bochner序列空间具有弱不动点性质的一个充分条件. 展开更多
关键词 序列空间 LUXEMBURG范数 ORLICZ范数 (k)性质
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对光滑空间的性质讨论
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作者 付英贵 《西南工学院学报》 2001年第3期51-52,共2页
本文证明了如下一些结果 :1)如X是H—B光滑 ,且X 具有 (k)性质 ,则X 具有( )性质。2 )设X为一致极光滑的Banach空间 ,则X 具有 (k)性质。
关键词 H-B光滑 (k)性质 (**)性质 BANACH空间
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Genetic polymorphisms of MAFK, encoding a small Maf protein, are associated with susceptibility to ulcerative colitis in Japan 被引量:1
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作者 Tomiyasu Arisawa Masakatsu Nakamura +10 位作者 Toshimi Otsuka Wu Jing Naoko Sakurai Hikaru Takano Tasuku Hayashi Masafumi Ota Tomoe Nomura Ranji Hayashi Takeo Shimasaki Tomomitsu Tahara Tomoyuki Shibata 《World Journal of Gastroenterology》 SCIE CAS 2017年第29期5364-5370,共7页
To investigate whether single nucleotide polymorphisms in maf protein K (MAFK), which encodes the MAFK, lead to increased susceptibility to ulcerative colitis in the Japanese population. METHODSThis case control study... To investigate whether single nucleotide polymorphisms in maf protein K (MAFK), which encodes the MAFK, lead to increased susceptibility to ulcerative colitis in the Japanese population. METHODSThis case control study examined the associations between MAFK single nucleotide polymorphisms (rs4268033 G>A, rs3735656 T>C and rs10226620 C>T) and ulcerative colitis susceptibility in 174 patients with ulcerative colitis (UC) cases, and 748 subjects without no lower abdominal symptoms, diarrhea or hematochezia (controls). In addition, as the second controls, we set 360 subjects, who have an irregular bowel movement without abnormal lower endoscopic findings (IBM controls). RESULTSThe genotype frequency of rs4268033 AA and allelic frequency of the rs4268033A allele were significantly higher in the UC cases than in both controls (P = 0.0005 and < 0.0001, P = 0.015 and 0.0027 vs controls and IBM controls, respectively). Logistic regression analysis after adjustment for age and gender showed that the rs4268033 AA and rs3735656 CC genotypes were significantly associated with susceptibility to UC development (OR = 2.63, 95%CI: 1.61-4.30, P = 0.0001 and OR = 1.81; 95%CI: 1.12-2.94, P = 0.015, respectively). Similar findings were observed by the comparison with IBM controls. In addition, the rs4268033 AA genotype was significantly associated with all phenotypes of UC except early onset. There was no significant association between rs10226620 and ulcerative colitis. CONCLUSIONOur results provide the first evidence that MAFK genetic polymorphisms are significantly associated with susceptibility to UC development. In particular, rs4268033 is closely associated with an increased risk for the development of UC. 展开更多
关键词 Maf protein k Genetic polymorphism Reactive oxygen species Ulcerative colitis Nuclear factor-erythroid 2-related factor 2
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Properties of Linear Entropy in k-Photon Jaynes-Cummings Model with Stark Shift and Kerr-Like Medium
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作者 廖庆洪 Muhammad Ashfaq Ahmad +1 位作者 王月媛 刘树田 《Communications in Theoretical Physics》 SCIE CAS CSCD 2010年第5期931-936,共6页
The time evolution of the linear entropy of an taking into consideration Stark shift and Kerr-like medium. atom in k-photon daynes-Cummings model is investigated The effect of both the Stark shift and Kerr-like medium... The time evolution of the linear entropy of an taking into consideration Stark shift and Kerr-like medium. atom in k-photon daynes-Cummings model is investigated The effect of both the Stark shift and Kerr-like medium on the linear entropy is analyzed using a numerical technique for the field initially in coherent state and in even coherent state. The results show that the presence of the Kerr-like medium and Stark shift has an important effect on the properties of the entropy and entanglement. It is also shown that the setting of the initial state plays a significant role in the evolution of the linear entropy and entanglement. 展开更多
关键词 k-photon Jaynes Cummings model linear entropy stark shift kerr-like medium
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Bacillus Licheniformis Dhs-40, a Flocculating Active Strain and Its Flocculating Activity
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作者 Y.S. Zhang J. Wang J.A. Hao X.Z. Zhang Y. Cheng 《Journal of Environmental Science and Engineering》 2010年第5期53-59,共7页
Microbial flocculants have become a hot spot in recent years. A bacterial strain with high flocculating activity was isolated from seawater samples. The strain was defined as Bacillus licheniformis dhs-40 by 16S rDNA ... Microbial flocculants have become a hot spot in recent years. A bacterial strain with high flocculating activity was isolated from seawater samples. The strain was defined as Bacillus licheniformis dhs-40 by 16S rDNA identification and Biolog test. Ultrasonication test confirmed the flocculating activity of the strain was both in fermentation supernatant and cell. According to flocculating activity curve, the ideal fermentation time for collecting flocculating active substances was two days. The flocculating activity of the strain was sensitive to pH. The strain could only preserve flocculating activity while pH varied from 7 to 11. However, it could preserve flocculating activity while temperature varied from -20℃to 100 ℃ Saccharide, protein, lipid, nucleic acids qualitative test and RNase, Proteinase K treatment confirmed the flocculating active substances were proteins. Their flocculating activities were insensitive to Proteinase K. 展开更多
关键词 Flocculating activity bacteria isolation and identification active substances.
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完全多部图K1*r,3*(k-2)的m数
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作者 王艳宁 张胜丹 王妍妍 《数学的实践与认识》 北大核心 2020年第10期296-302,共7页
如果对一个图G的每个顶点v,任给一个k-列表L(v),使得G要么没有正常列表染色,要么至少有两种正常列表染色,则称图G具有M(k)性质.定义图G的m数为使得图G具有M(k)性质的最小整数k,记为m(G).已有研究表明,当k=3,4时,图K1*r,3*(k-2)具有M(k)... 如果对一个图G的每个顶点v,任给一个k-列表L(v),使得G要么没有正常列表染色,要么至少有两种正常列表染色,则称图G具有M(k)性质.定义图G的m数为使得图G具有M(k)性质的最小整数k,记为m(G).已有研究表明,当k=3,4时,图K1*r,3*(k-2)具有M(k)性质,且当r≥2时,m(K1*r,3*(k-2))=k.本文将上述结论推广到每一个k,证明了对任意r∈N+,k≥3,图K1*r,3*(k-2)具有M(k)性质,且当k≥4,r≥(k-2)时,m(K1*r,3*(k-2))=k.此外,得到图K1,3,3,3的m数为4,该图是图K1*r,3*(k-2)中r=1,k=5时的特殊情况,同时也是现有研究中尚未解决的一个问题. 展开更多
关键词 唯一列表染色 M(k)性质 完全多部图 m数
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On the Panfactorical Property of Cayley Graphs
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作者 毛林繁 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2002年第3期383-390,共8页
A κ-regular graph is called panfactorical, or even panfactorical respectively, if for every integer s, 1 ≤ s ≤ κ,there exists an s-factor, or 2[s/2 ]-factor, in this graph. A criterion for checking an γ-regular g... A κ-regular graph is called panfactorical, or even panfactorical respectively, if for every integer s, 1 ≤ s ≤ κ,there exists an s-factor, or 2[s/2 ]-factor, in this graph. A criterion for checking an γ-regular graph to be panfactorical or even panfactorical is established. It is proved that every Cayley graph of odd degree is panfactorical and every Cayley graph of even degree is even panfactorical by using this criterion. For a dihedral group, we prove that every connected Cayley graph on this group is panfactorial. 展开更多
关键词 panfactorial Cayley graph finite group factorization.
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