With the help of the asymptotic expansion for the classic Li formula and based on the L1-type compact difference scheme,we propose a temporal Richardson extrapolation method for the fractional sub-diffusion equation.T...With the help of the asymptotic expansion for the classic Li formula and based on the L1-type compact difference scheme,we propose a temporal Richardson extrapolation method for the fractional sub-diffusion equation.Three extrapolation formulas are presented,whose temporal convergence orders in L_(∞)-norm are proved to be 2,3-α,and 4-2α,respectively,where 0<α<1.Similarly,by the method of order reduction,an extrapola-tion method is constructed for the fractional wave equation including two extrapolation formulas,which achieve temporal 4-γ and 6-2γ order in L_(∞)-norm,respectively,where1<γ<2.Combining the derived extrapolation methods with the fast algorithm for Caputo fractional derivative based on the sum-of-exponential approximation,the fast extrapolation methods are obtained which reduce the computational complexity significantly while keep-ing the accuracy.Several numerical experiments confirm the theoretical results.展开更多
This study explored the distribution of three types of English formulaic language, which involves four categories in L1 Chinese L2 English learners’ speaking performance. In addition, it investigated the relationship...This study explored the distribution of three types of English formulaic language, which involves four categories in L1 Chinese L2 English learners’ speaking performance. In addition, it investigated the relationship between the English learners’ use of formulaic language and their spoken English fluency. A CCA(canonical correlation analysis) was conducted to examine the correlations between two sets of fluency variables(dependent variables) and linguistic variables of English formulaic language use(independent variables). The fluency variable set consists of:(1)temporal indices such as SR(speech rate), AR(articulation rate), MLR(mean length of run), and PTR(phonation time ratio);(2) linguistic variables of English formulaic language like F2 R(twoword formulaic sequences/run ratio, B3 R(three-word lexical bundles/run ratio), and B4 R(fourword lexical bundles/run ratio). These are calculated according to the frequency of the English formulaic language in the speech samples of the participants(n = 86) across three academic levels.The results indicate that the learners’ spoken English fluency is highly related to their use of English formulaic language. Its limitations and future research directions are also discussed.展开更多
A comparative study and management has been conducted in (KTHDV). For some patients who attend the out patients clinic concern on treatment of the vitiligo with a new formula (Oxabet) alone VS Oxabet (oxpsolaren plus ...A comparative study and management has been conducted in (KTHDV). For some patients who attend the out patients clinic concern on treatment of the vitiligo with a new formula (Oxabet) alone VS Oxabet (oxpsolaren plus betamethasone) formula plus NB. UVB311 is during a period from (Jan 2011-Jan 2013). The study sample includes different age groups of both sexes. The study revealed that the formula alone gives good results. The localized vitiligo has a good response to the formula than generalized one. The early lesions have good responses than the old ones. The continuations of applying the treatment and the follow up of the patients enhance the efficacy of the treatment.展开更多
目的:评价Haigis-L公式与临床资料法SRK/T公式(CHSRK/T)预测近视患者准分子激光原位角膜磨镶术(laser in situ keratomileusis,LASIK)术后人工晶状体度数的差异。方法:选取我院2012-10/2013-02手术患者72例140眼,眼轴≤26mm,排除其他眼...目的:评价Haigis-L公式与临床资料法SRK/T公式(CHSRK/T)预测近视患者准分子激光原位角膜磨镶术(laser in situ keratomileusis,LASIK)术后人工晶状体度数的差异。方法:选取我院2012-10/2013-02手术患者72例140眼,眼轴≤26mm,排除其他眼部疾病。分别用Haigis-L,CHSRK/T计算LASIK手术后人工晶状体度数,用SPSS 18.0统计软件进行统计学分析。结果:Haigis-L公式计算LASIK术后豪雅人工晶状体度数平均值为22.99±1.38D,CH-SRK/T计算豪雅人工晶状体度数平均值为19.95±1.69D,配对样本均数t检验,成对差分均值-3.039±1.899D,Wilcoxon带符号秩检验,秩和为-3.408a,P=0.001;Haigis-L公式所测得LASIK术后眼力健AR40人工晶状体度数为23.26±1.49D,CH-SRK/T公式所测得LASIK术后眼力健AR40人工晶状体度数的平均值为20.05±1.69D,配对样本均数t检验,成对差分均值为-3.208±1.823D,Wilcoxon带符号秩检验,秩和为-3.408a,P=0.001。结论:近视患者LASIK术后人工晶状体度数用CH-SRK/T较Haigis-L公式测定结果低,照此植入人工晶状体术后更容易偏向欠矫。展开更多
基金supported by the National Natural Science Foundation of China(grant number 11671081).
文摘With the help of the asymptotic expansion for the classic Li formula and based on the L1-type compact difference scheme,we propose a temporal Richardson extrapolation method for the fractional sub-diffusion equation.Three extrapolation formulas are presented,whose temporal convergence orders in L_(∞)-norm are proved to be 2,3-α,and 4-2α,respectively,where 0<α<1.Similarly,by the method of order reduction,an extrapola-tion method is constructed for the fractional wave equation including two extrapolation formulas,which achieve temporal 4-γ and 6-2γ order in L_(∞)-norm,respectively,where1<γ<2.Combining the derived extrapolation methods with the fast algorithm for Caputo fractional derivative based on the sum-of-exponential approximation,the fast extrapolation methods are obtained which reduce the computational complexity significantly while keep-ing the accuracy.Several numerical experiments confirm the theoretical results.
文摘This study explored the distribution of three types of English formulaic language, which involves four categories in L1 Chinese L2 English learners’ speaking performance. In addition, it investigated the relationship between the English learners’ use of formulaic language and their spoken English fluency. A CCA(canonical correlation analysis) was conducted to examine the correlations between two sets of fluency variables(dependent variables) and linguistic variables of English formulaic language use(independent variables). The fluency variable set consists of:(1)temporal indices such as SR(speech rate), AR(articulation rate), MLR(mean length of run), and PTR(phonation time ratio);(2) linguistic variables of English formulaic language like F2 R(twoword formulaic sequences/run ratio, B3 R(three-word lexical bundles/run ratio), and B4 R(fourword lexical bundles/run ratio). These are calculated according to the frequency of the English formulaic language in the speech samples of the participants(n = 86) across three academic levels.The results indicate that the learners’ spoken English fluency is highly related to their use of English formulaic language. Its limitations and future research directions are also discussed.
文摘A comparative study and management has been conducted in (KTHDV). For some patients who attend the out patients clinic concern on treatment of the vitiligo with a new formula (Oxabet) alone VS Oxabet (oxpsolaren plus betamethasone) formula plus NB. UVB311 is during a period from (Jan 2011-Jan 2013). The study sample includes different age groups of both sexes. The study revealed that the formula alone gives good results. The localized vitiligo has a good response to the formula than generalized one. The early lesions have good responses than the old ones. The continuations of applying the treatment and the follow up of the patients enhance the efficacy of the treatment.
文摘目的:评价Haigis-L公式与临床资料法SRK/T公式(CHSRK/T)预测近视患者准分子激光原位角膜磨镶术(laser in situ keratomileusis,LASIK)术后人工晶状体度数的差异。方法:选取我院2012-10/2013-02手术患者72例140眼,眼轴≤26mm,排除其他眼部疾病。分别用Haigis-L,CHSRK/T计算LASIK手术后人工晶状体度数,用SPSS 18.0统计软件进行统计学分析。结果:Haigis-L公式计算LASIK术后豪雅人工晶状体度数平均值为22.99±1.38D,CH-SRK/T计算豪雅人工晶状体度数平均值为19.95±1.69D,配对样本均数t检验,成对差分均值-3.039±1.899D,Wilcoxon带符号秩检验,秩和为-3.408a,P=0.001;Haigis-L公式所测得LASIK术后眼力健AR40人工晶状体度数为23.26±1.49D,CH-SRK/T公式所测得LASIK术后眼力健AR40人工晶状体度数的平均值为20.05±1.69D,配对样本均数t检验,成对差分均值为-3.208±1.823D,Wilcoxon带符号秩检验,秩和为-3.408a,P=0.001。结论:近视患者LASIK术后人工晶状体度数用CH-SRK/T较Haigis-L公式测定结果低,照此植入人工晶状体术后更容易偏向欠矫。
