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随机指数系的完备性和极小性
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作者 柯思宇 高志强 邓冠铁 《数学年刊(A辑)》 CSCD 北大核心 2010年第4期385-394,共10页
得到了随机指数系在加权Banach空间C_α中完备和极小的充要条件,其中C_α是实直线R上的复连续函数在权α的一致范数下组成的Banach空间.这些结果可以看作是Malliavin经典结果的概率推广.
关键词 随机指数系 完备性 极小性
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加权Banach空间中随机指数系完备的若干结论
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作者 王越 杨向东 《应用数学》 CSCD 北大核心 2017年第4期946-952,共7页
在允许随机序列上密度无限且减弱权函数是凸函数的条件下,采用新的方法得到C_α中随机指数函数系完备性的充分必要条件,其中C_α是定义在R上的复连续函数构成的加权Banach空间,且要求函数在一致范数下当t→∞时以f(t)exp(-α(t))趋于零.
关键词 完备性 加权Banach空间 随机指数系 上密度无限
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Tuina for primary insomnia: a meta-analysis 被引量:1
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作者 Cao Miao Deng Fang-fang +2 位作者 Yuan Qun Zhang Ji-dong He Qing-hu 《Journal of Acupuncture and Tuina Science》 CSCD 2018年第4期236-242,共7页
Objective: To systematically evaluate the therapeutic efficacy of tuina therapy for primary insomnia. Methods: Nine Chinese and English databases were searched from the inception to May 2017 to identify randomized c... Objective: To systematically evaluate the therapeutic efficacy of tuina therapy for primary insomnia. Methods: Nine Chinese and English databases were searched from the inception to May 2017 to identify randomized controlled trials (RCTs) studying tuina therapy for insomnia. The enrolled articles were all RCTs with tuina as the monotherapy or major therapy in the experiment group, with clear diagnostic criteria for primary insomnia well recognized worldwide or in China, and Pittsburgh sleep quality index (PSQI) as one of the outcome measures. Two researchers evaluated the risk of bias and quality of the enrolled studies by following Cochrane Handbook version 5.1.0. The meta-analysis was performed by RevMan version 5.3. Results: Eleven studies were included with a total of I 076 participants. The Western medication adopted in the control groups were benzodiazepine receptor agonists. The studies were all assessed as high risk of bias for blinding since blinding method was unable to be performed due to the specificity of tuina therapy; no study reported the support of fund or potential interest conflict, so they were all rated unclear for selective reporting. The meta-analysis showed that compared with other traditional Chinese medicine therapies, tuina worked more effectively in reducing the PSQI score (MD=-4.11〈O, 95% confidence interval (CI) -6.01 to -2.22, P〈0.O001); compared with oral administration of Western medication, tuina showed more significant efficacy in reducing the PSQI score (MD=-3.42〈0, 95%CI -5.19 to -1.66, P〈0.O001). Subgroup analysis showed that head tuina alone showed no significant difference compared with oral administration of Western medication regarding the change of PSQI score (MD=-4.19〈O, 95%CI -8.87 to 0.50, P〉0.05); a combination of head and back tuina could more effectively reduce the PSOJ score compared with oral administration of Western medication (MD=-2.08〈O, 95%CI -3.09 to -1.06, P〈0.O001). Conclusion: Tuina can produce more significant efficacy in treating primary insomnia compared with other traditional Chinese medicine therapies and oral administration of Western medication, especially the combination of head and back tuina. 展开更多
关键词 TUINA MASSAGE INSOMNIA ACUPOINT HEAD Pittsburgh Sleep Quality Index Randomized Controlled Trial Systematic Review META-ANALYSIS
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Analysis of some large-scale nonlinear stochastic dynamic systems with subspace-EPC method
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作者 ER GuoKang IU VaiPan 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2011年第9期1631-1637,共7页
The probabilistic solutions to some nonlinear stochastic dynamic (NSD) systems with various polynomial types of nonlinearities in displacements are analyzed with the subspace-exponential polynomial closure (subspace-E... The probabilistic solutions to some nonlinear stochastic dynamic (NSD) systems with various polynomial types of nonlinearities in displacements are analyzed with the subspace-exponential polynomial closure (subspace-EPC) method. The space of the state variables of the large-scale nonlinear stochastic dynamic system excited by Gaussian white noises is separated into two subspaces. Both sides of the Fokker-Planck-Kolmogorov (FPK) equation corresponding to the NSD system are then integrated over one of the subspaces. The FPK equation for the joint probability density function of the state variables in the other subspace is formulated. Therefore, the FPK equations in low dimensions are obtained from the original FPK equation in high dimensions and the FPK equations in low dimensions are solvable with the exponential polynomial closure method. Examples about multi-degree-offreedom NSD systems with various polynomial types of nonlinearities in displacements are given to show the effectiveness of the subspace-EPC method in these cases. 展开更多
关键词 nonlinear stochastic dynamic systems large-scale systems probability density function Fokker-Planck-Kolmogorov equation subspace-EPC
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