In order to investigate the effect of an arbitrary dust size distribution for vortex-like ion distributiondusty plasma,we use a reasonable polynomial-expressed function to represent an arbitrary dust size distribution...In order to investigate the effect of an arbitrary dust size distribution for vortex-like ion distributiondusty plasma,we use a reasonable polynomial-expressed function to represent an arbitrary dust size distribution.Thenumerical results of linear dispersion relation,nonlinear solitary wave amplitude,width and velocity for polynomialexpressed dust size distribution dusty plasma with vortex-like ion distribution have been studied.展开更多
The age of infection approach introduced by Kermack and Mckendrick in 1927 gives a unified way of describing and analyzing a variety of epidemic models, including models with multiple stages, treatment, and heterogene...The age of infection approach introduced by Kermack and Mckendrick in 1927 gives a unified way of describing and analyzing a variety of epidemic models, including models with multiple stages, treatment, and heterogeneous mixing. The author gives a description of the main results for such models, emphasizing the use of the final size relation to estimate the size of the epidemic.展开更多
To evaluate measurement uncertainty for small sample size and measurement data from an unknown distribution, we propose a grey evaluation method of measurement uncertainty based on the grey relation coefficient. The u...To evaluate measurement uncertainty for small sample size and measurement data from an unknown distribution, we propose a grey evaluation method of measurement uncertainty based on the grey relation coefficient. The uncertainty of measurement is analyzed using grey system theory, and the defects of the grey evaluation model of measurement uncertainty (GEMU) are studied. We then establish an improved grey evaluation model of measurement uncertainty (IGEMU). Simulations show that the precision of IGEMU is greater than that of GEMU, and that sample size has only a small effect on the precision of IGEVU. In particular, IGEMU is applied to evaluating measurement uncertainty for small sample size and measurement data from an unknown distribution. The measurement uncertainty of total profile deviation, which is measured by the CNC gear measuring center, can be evaluated by a combination of IGEMU and the Monte Carlo method.展开更多
Normal copula with a correlation coefficient between-1 and 1 is tail independent and so it severely underestimates extreme probabilities. By letting the correlation coefficient in a normal copula depend on the sample ...Normal copula with a correlation coefficient between-1 and 1 is tail independent and so it severely underestimates extreme probabilities. By letting the correlation coefficient in a normal copula depend on the sample size, H¨usler and Reiss(1989) showed that the tail can become asymptotically dependent. We extend this result by deriving the limit of the normalized maximum of n independent observations, where the i-th observation follows from a normal copula with its correlation coefficient being either a parametric or a nonparametric function of i/n. Furthermore, both parametric and nonparametric inference for this unknown function are studied, which can be employed to test the condition by H¨usler and Reiss(1989). A simulation study and real data analysis are presented too.展开更多
We obtain the instanton correction recursion relations for the low energy effective prepotential in pure Ν = 2SU(n) supersymmetric Yang-Mills gauge theory from Whitham hierarchy and Seiberg-Witten/Whitham equations. ...We obtain the instanton correction recursion relations for the low energy effective prepotential in pure Ν = 2SU(n) supersymmetric Yang-Mills gauge theory from Whitham hierarchy and Seiberg-Witten/Whitham equations. These formulae provide us a powerful tool to calculate arbitrary order instanton corrections coefficients from the perturbative contributions of the effective prepotential in Seiberg-Witten gauge theory. We apply this idea to evaluate one-and two-order instanton corrections coefficients explicitly in SU(n) case in detail through the dynamical scale parameter expressed in terms of Riemann's theta-function.展开更多
Objective:To summarize the influence patterns of related time factors on acupuncture effectiveness in different disease model rats/mice,and to provide reference for acupuncture clinical practice.Methods:Retrieved the ...Objective:To summarize the influence patterns of related time factors on acupuncture effectiveness in different disease model rats/mice,and to provide reference for acupuncture clinical practice.Methods:Retrieved the relevant literatures on time-effect experimental studies of acupuncture in rats/mice in the recent 10 years.The correlations between the key time factors(such as different intervention timings of acupuncture,acupuncture moments,operation durations,needle-retaining times,intervals and treatment courses)and the acupuncture effect were analyzed and summarized.Results:From the mainstream perspective of quantification,the earlier the acupuncture intervention,the better.The proper time to implement acupuncture varied depending on disease models and points.The best operation time varied widely between different diseases.The most frequently needle-retaining time was 20-30 min.The frequency of acupuncture was usually 1 time/day;the length of the treatment course was determined according to practitioners'experience.Conclusion:Throughout the time-effect studies of acupuncture intervention in experimental rats/mice,conclusions are inconsistent,especially the lack of quantitative research on acupuncture operation time,acupuncture frequency,acupuncture treatment duration,and optimal stimulation amount.Future research should explore and determine the best time-quantity parameters that affect the effectiveness of acupuncture intervention,which is the key and goal of the acupuncture time-effect research.Independent intervention-time experiments throughout the entire course of a single disease(dominant disease)need to be done to guide clinical and disciplinary development.展开更多
基金Supported by National Natural Science Foundation of China under Grant Nos.10575082,10875098the Natural Science Foundation of Gansu Province under Grant No.3ZS061-A25-013the Natural Science Foundation of Northwest Normal University under Grant Nos.NWNU-KJCXGC-03-48 and NWNU-KJCXGC-03-17
文摘In order to investigate the effect of an arbitrary dust size distribution for vortex-like ion distributiondusty plasma,we use a reasonable polynomial-expressed function to represent an arbitrary dust size distribution.Thenumerical results of linear dispersion relation,nonlinear solitary wave amplitude,width and velocity for polynomialexpressed dust size distribution dusty plasma with vortex-like ion distribution have been studied.
文摘The age of infection approach introduced by Kermack and Mckendrick in 1927 gives a unified way of describing and analyzing a variety of epidemic models, including models with multiple stages, treatment, and heterogeneous mixing. The author gives a description of the main results for such models, emphasizing the use of the final size relation to estimate the size of the epidemic.
基金supported by the National Natural Science Foundation of China (Grant Nos. 61108052 and 61108073)the Technology Program of the Educational Office of Hei Longjiang Province in China (Grant No.11553016)
文摘To evaluate measurement uncertainty for small sample size and measurement data from an unknown distribution, we propose a grey evaluation method of measurement uncertainty based on the grey relation coefficient. The uncertainty of measurement is analyzed using grey system theory, and the defects of the grey evaluation model of measurement uncertainty (GEMU) are studied. We then establish an improved grey evaluation model of measurement uncertainty (IGEMU). Simulations show that the precision of IGEMU is greater than that of GEMU, and that sample size has only a small effect on the precision of IGEVU. In particular, IGEMU is applied to evaluating measurement uncertainty for small sample size and measurement data from an unknown distribution. The measurement uncertainty of total profile deviation, which is measured by the CNC gear measuring center, can be evaluated by a combination of IGEMU and the Monte Carlo method.
基金supported by the Simons FoundationNational Natural Science Foundation of China(Grant No.11171275)the Natural Science Foundation Project of CQ(Grant No.cstc2012jj A00029)
文摘Normal copula with a correlation coefficient between-1 and 1 is tail independent and so it severely underestimates extreme probabilities. By letting the correlation coefficient in a normal copula depend on the sample size, H¨usler and Reiss(1989) showed that the tail can become asymptotically dependent. We extend this result by deriving the limit of the normalized maximum of n independent observations, where the i-th observation follows from a normal copula with its correlation coefficient being either a parametric or a nonparametric function of i/n. Furthermore, both parametric and nonparametric inference for this unknown function are studied, which can be employed to test the condition by H¨usler and Reiss(1989). A simulation study and real data analysis are presented too.
基金Supported by the National Natural Science Foundation of China under Grant No.11271079
文摘We obtain the instanton correction recursion relations for the low energy effective prepotential in pure Ν = 2SU(n) supersymmetric Yang-Mills gauge theory from Whitham hierarchy and Seiberg-Witten/Whitham equations. These formulae provide us a powerful tool to calculate arbitrary order instanton corrections coefficients from the perturbative contributions of the effective prepotential in Seiberg-Witten gauge theory. We apply this idea to evaluate one-and two-order instanton corrections coefficients explicitly in SU(n) case in detail through the dynamical scale parameter expressed in terms of Riemann's theta-function.
文摘Objective:To summarize the influence patterns of related time factors on acupuncture effectiveness in different disease model rats/mice,and to provide reference for acupuncture clinical practice.Methods:Retrieved the relevant literatures on time-effect experimental studies of acupuncture in rats/mice in the recent 10 years.The correlations between the key time factors(such as different intervention timings of acupuncture,acupuncture moments,operation durations,needle-retaining times,intervals and treatment courses)and the acupuncture effect were analyzed and summarized.Results:From the mainstream perspective of quantification,the earlier the acupuncture intervention,the better.The proper time to implement acupuncture varied depending on disease models and points.The best operation time varied widely between different diseases.The most frequently needle-retaining time was 20-30 min.The frequency of acupuncture was usually 1 time/day;the length of the treatment course was determined according to practitioners'experience.Conclusion:Throughout the time-effect studies of acupuncture intervention in experimental rats/mice,conclusions are inconsistent,especially the lack of quantitative research on acupuncture operation time,acupuncture frequency,acupuncture treatment duration,and optimal stimulation amount.Future research should explore and determine the best time-quantity parameters that affect the effectiveness of acupuncture intervention,which is the key and goal of the acupuncture time-effect research.Independent intervention-time experiments throughout the entire course of a single disease(dominant disease)need to be done to guide clinical and disciplinary development.