The time evolution of system in two photon Jaynes Cummings (J C) model without rotating waves approximation (RWA) is obtained by using the theory of ordinary differential equations. Based on the evolution, the mean ...The time evolution of system in two photon Jaynes Cummings (J C) model without rotating waves approximation (RWA) is obtained by using the theory of ordinary differential equations. Based on the evolution, the mean value of the atom inversion operator 〈 S 3(t)〉 is gi ven. The influence of the “counter rotating term” on the collapse and revival phenomenon is discussed from the comparison between the cases with RWA and without RWA. It shows that the influence of the virtual photon field makes the quantum fluctuations appear on the collapse and revival phenomenon.展开更多
The constitutive model was developed to describe the relationship among flow stress,strain,strain rate,and deformation temperature completely,based on the characteristics of flow stress curves for a new kind of metast...The constitutive model was developed to describe the relationship among flow stress,strain,strain rate,and deformation temperature completely,based on the characteristics of flow stress curves for a new kind of metastable β Ti2448 titanium alloy from isothermal hot compression tests,in a wide range of temperatures（1023-1123 K） and strain rates（63-0.001 s-1）.During this process,the adopted hyperbolic sine function based on the unified viscoplasticity theory was used to model the flow behavior of alloy undergoing flow softening caused by dynamic recovery（DRV） at high strain rates（≥1 s-1）.The standard Avrami equation was adopted to represent the softening mechanism attributed to dynamic recrystallization（DRX） at low strain rates（1 s-1）.Additionally,the material constants were determined by optimization strategy,which is a new method to solve the nonlinear constitutive equation.The stress—strain curves predicted by the developed constitutive model agree well with the experimental results,which con-rms that the developed constitutive model can give an accurate estimate of the-ow stress of Ti2448 titanium alloy and provide an effective method to model the flow behavior of metastable β titanium alloys during hot deformation.展开更多
L-（＋）-lactic acid production was studied by immobilized Lactobacillus rhamnosus T1STR108 on crude pectin from Krung Kha Mao Leaves. Central composite design was employed to determine the maximum lactic acid product...L-（＋）-lactic acid production was studied by immobilized Lactobacillus rhamnosus T1STR108 on crude pectin from Krung Kha Mao Leaves. Central composite design was employed to determine the maximum lactic acid production of 42.88 g L-1 in predicted model with the factors at 4.11 g L1 of pectin, 6.05 mLLl inoculum and 1.09 mm of bead diameter. Statistical analyses demonstrated very high significance for the regression model, since the F-value computed 116.09 was much higher than the tabulated F-value 2.08 for the lactic acid production at 5% level for linear and quadratic polynomial regression models. The highest experimental lactic acid production was 43.57 g L^-1 at 96 h of fermentation, 1.58% higher than the predicted value.展开更多
OBJECTIVE To provide the evidence of predicting and preventing the postoperative recurrence by investigating the relationship between the recurring types of colorectal carcinoma （CRC） after radical resection and cli...OBJECTIVE To provide the evidence of predicting and preventing the postoperative recurrence by investigating the relationship between the recurring types of colorectal carcinoma （CRC） after radical resection and clinicopathologic factors.METHODS Data from 464 CRC patients in stage Ⅰ-Ⅲ who were admitted to our hospital during a period from January 1998 to December 2002 and underwent radical surgery, were collected, and retrospective analysis of the clinicopathologic data from 90 out of the 464 CRC patients, who developed postoperative recurrence was conducted. The 90 patients were divided into 2 groups based on the recurrence time （RT）. Those with a RT of ≤ 30 months were classified into the early recurrence （ER） group and those with RT of 〉 30 months were classified into late recurrence （LR） group. The X2 test was used for univariate analysis, and binomial logistic regression analysis for multivariate analysis.RESULTS There were 78 patients （86%） in the ER group and 12 （14%） in the LR group. The median recurrence time （MRT） was 35.1 months, 13.6 months, and 12.9 months in CRC patients with stage-Ⅰ, stage-Ⅱ and stage-Ⅲ, respectively. There were significant differences in RT among the groups （P = 0.001）. In the 90 patients, the MRT was 17.4 months. The median time （MT） was 16.9 months in patients with regional recurrence, 13.3 months in patients with single recurrence, and 7.7 months in patients with multiple metastases. Univariate analysis indicated that the depth of tumor infiltration, the number of positive lymph nodes, and the macroscopic types of the primary tumor were the factors affecting the relapse of the tumor. The multivariate analysis revealed that the depth of tumor infiltration was the independent factor affectin~ the time of ER （P = 0.049）.CONCLUSION Most of CRC patients receiving radical surgery for colorectal cancer occur recurrence within 30 months after the first operation, nevertheless, LR occurs in some CRC patients over 30 months after the surgery. The time interval varies in different types of recurrence. Distant metastasis is seen mainly in the cases with postoperative ER, and regional recurrence in the cases with LR. The depth of tumor infiltration is an independent predictor affecting the postoperative RT of CRC, and the tumor infiltration into, or beyond the seromembranous layer is considered as independent factor affecting the ER of CRC.展开更多
L-（＋）-lactic acid production was studied by immobilized Lactobacillus rhamnosus TISTR108 on crude pectin from Krung Kha Mao （Cissampelospareira L.） leaves. Central composite design was employed to determine the m...L-（＋）-lactic acid production was studied by immobilized Lactobacillus rhamnosus TISTR108 on crude pectin from Krung Kha Mao （Cissampelospareira L.） leaves. Central composite design was employed to determine the maximum lactic acid production of 45.40 g/L in predicted model （Y = 43.98 - 2.43X1 ＋ 1.02X2 ＋ 2.96X3 - 8.72X1^2 - 3.99X2^2 - 1.74X3^2） with the factors at 5.9 of cultural medium pH, 37.6 ℃ of process temperature and 202 rpm of liquid agitation. Statistical analyses demonstrated very high significance for the regression model fitted the data adequately and explained the lactic acid production, since the F-value computed 54.89 was much higher than the tabulated F-value 2.08 for the lactic acid production at 5% level for linear and quadratic polynomial regression models. The highest experimental lactic acid production was 46.91 g/L at 72 h of fermentation.展开更多
This paper put forward the super-resolution image algorithm based on Gauss process regression sparse solution. We establish local Gauss process regression model, to solve the feasibility problem of regression super-re...This paper put forward the super-resolution image algorithm based on Gauss process regression sparse solution. We establish local Gauss process regression model, to solve the feasibility problem of regression super-resolution problem in solving Gauss process; further use sparse algorithm, not only it can optimize the super parameter of Gauss kernel function, but also to optimize the initial entry training, so as to obtain more accurate regression Gauss process. Experimental results show that： the paper proposed algorithm can does not reduce the image reconstruction results, and it can reduce the computational complexity.展开更多
This paper studies the parameter estimation of one dimensional linear errors-in-variables(EV) models in the case that replicated observations are available in some experimental points.Asymptotic normality is establis...This paper studies the parameter estimation of one dimensional linear errors-in-variables(EV) models in the case that replicated observations are available in some experimental points.Asymptotic normality is established under mild conditions, and the parameters entering the asymptotic variance are consistently estimated to render the result useable in construction of large-sample confidence regions.展开更多
Stock loans are business contracts between borrowers and lenders in which the borroweruses shares of stock as collateral for the loan.Since the value of the collateral is subject to wide andfrequent price swings,valui...Stock loans are business contracts between borrowers and lenders in which the borroweruses shares of stock as collateral for the loan.Since the value of the collateral is subject to wide andfrequent price swings,valuing such a transaction behaves more like an option pricing problem thana debt valuation problem.This paper will list,prove,and analyze formulas for stock loan valuationwith finite horizon under various stock models,including classical geometric Brownian motion,meanreverting,and two-state regime-switching with both mean-reverting and geometric Brownian motionstates.Numerical examples are reported to illustrate the results.展开更多
We consider the periodic generalized autoregressive conditional heteroskedasticity(P-GARCH) process and propose a robust estimator by composite quantile regression. We study some useful properties about the P-GARCH mo...We consider the periodic generalized autoregressive conditional heteroskedasticity(P-GARCH) process and propose a robust estimator by composite quantile regression. We study some useful properties about the P-GARCH model. Under some mild conditions, we establish the asymptotic results of proposed estimator.The Monte Carlo simulation is presented to assess the performance of proposed estimator. Numerical study results show that our proposed estimation outperforms other existing methods for heavy tailed distributions.The proposed methodology is also illustrated by Va R on stock price data.展开更多
文摘The time evolution of system in two photon Jaynes Cummings (J C) model without rotating waves approximation (RWA) is obtained by using the theory of ordinary differential equations. Based on the evolution, the mean value of the atom inversion operator 〈 S 3(t)〉 is gi ven. The influence of the “counter rotating term” on the collapse and revival phenomenon is discussed from the comparison between the cases with RWA and without RWA. It shows that the influence of the virtual photon field makes the quantum fluctuations appear on the collapse and revival phenomenon.
文摘The constitutive model was developed to describe the relationship among flow stress,strain,strain rate,and deformation temperature completely,based on the characteristics of flow stress curves for a new kind of metastable β Ti2448 titanium alloy from isothermal hot compression tests,in a wide range of temperatures（1023-1123 K） and strain rates（63-0.001 s-1）.During this process,the adopted hyperbolic sine function based on the unified viscoplasticity theory was used to model the flow behavior of alloy undergoing flow softening caused by dynamic recovery（DRV） at high strain rates（≥1 s-1）.The standard Avrami equation was adopted to represent the softening mechanism attributed to dynamic recrystallization（DRX） at low strain rates（1 s-1）.Additionally,the material constants were determined by optimization strategy,which is a new method to solve the nonlinear constitutive equation.The stress—strain curves predicted by the developed constitutive model agree well with the experimental results,which con-rms that the developed constitutive model can give an accurate estimate of the-ow stress of Ti2448 titanium alloy and provide an effective method to model the flow behavior of metastable β titanium alloys during hot deformation.
文摘L-（＋）-lactic acid production was studied by immobilized Lactobacillus rhamnosus T1STR108 on crude pectin from Krung Kha Mao Leaves. Central composite design was employed to determine the maximum lactic acid production of 42.88 g L-1 in predicted model with the factors at 4.11 g L1 of pectin, 6.05 mLLl inoculum and 1.09 mm of bead diameter. Statistical analyses demonstrated very high significance for the regression model, since the F-value computed 116.09 was much higher than the tabulated F-value 2.08 for the lactic acid production at 5% level for linear and quadratic polynomial regression models. The highest experimental lactic acid production was 43.57 g L^-1 at 96 h of fermentation, 1.58% higher than the predicted value.
文摘OBJECTIVE To provide the evidence of predicting and preventing the postoperative recurrence by investigating the relationship between the recurring types of colorectal carcinoma （CRC） after radical resection and clinicopathologic factors.METHODS Data from 464 CRC patients in stage Ⅰ-Ⅲ who were admitted to our hospital during a period from January 1998 to December 2002 and underwent radical surgery, were collected, and retrospective analysis of the clinicopathologic data from 90 out of the 464 CRC patients, who developed postoperative recurrence was conducted. The 90 patients were divided into 2 groups based on the recurrence time （RT）. Those with a RT of ≤ 30 months were classified into the early recurrence （ER） group and those with RT of 〉 30 months were classified into late recurrence （LR） group. The X2 test was used for univariate analysis, and binomial logistic regression analysis for multivariate analysis.RESULTS There were 78 patients （86%） in the ER group and 12 （14%） in the LR group. The median recurrence time （MRT） was 35.1 months, 13.6 months, and 12.9 months in CRC patients with stage-Ⅰ, stage-Ⅱ and stage-Ⅲ, respectively. There were significant differences in RT among the groups （P = 0.001）. In the 90 patients, the MRT was 17.4 months. The median time （MT） was 16.9 months in patients with regional recurrence, 13.3 months in patients with single recurrence, and 7.7 months in patients with multiple metastases. Univariate analysis indicated that the depth of tumor infiltration, the number of positive lymph nodes, and the macroscopic types of the primary tumor were the factors affecting the relapse of the tumor. The multivariate analysis revealed that the depth of tumor infiltration was the independent factor affectin~ the time of ER （P = 0.049）.CONCLUSION Most of CRC patients receiving radical surgery for colorectal cancer occur recurrence within 30 months after the first operation, nevertheless, LR occurs in some CRC patients over 30 months after the surgery. The time interval varies in different types of recurrence. Distant metastasis is seen mainly in the cases with postoperative ER, and regional recurrence in the cases with LR. The depth of tumor infiltration is an independent predictor affecting the postoperative RT of CRC, and the tumor infiltration into, or beyond the seromembranous layer is considered as independent factor affecting the ER of CRC.
文摘L-（＋）-lactic acid production was studied by immobilized Lactobacillus rhamnosus TISTR108 on crude pectin from Krung Kha Mao （Cissampelospareira L.） leaves. Central composite design was employed to determine the maximum lactic acid production of 45.40 g/L in predicted model （Y = 43.98 - 2.43X1 ＋ 1.02X2 ＋ 2.96X3 - 8.72X1^2 - 3.99X2^2 - 1.74X3^2） with the factors at 5.9 of cultural medium pH, 37.6 ℃ of process temperature and 202 rpm of liquid agitation. Statistical analyses demonstrated very high significance for the regression model fitted the data adequately and explained the lactic acid production, since the F-value computed 54.89 was much higher than the tabulated F-value 2.08 for the lactic acid production at 5% level for linear and quadratic polynomial regression models. The highest experimental lactic acid production was 46.91 g/L at 72 h of fermentation.
文摘This paper put forward the super-resolution image algorithm based on Gauss process regression sparse solution. We establish local Gauss process regression model, to solve the feasibility problem of regression super-resolution problem in solving Gauss process; further use sparse algorithm, not only it can optimize the super parameter of Gauss kernel function, but also to optimize the initial entry training, so as to obtain more accurate regression Gauss process. Experimental results show that： the paper proposed algorithm can does not reduce the image reconstruction results, and it can reduce the computational complexity.
基金Project supported by the National Natural Science Foundation of China (No. 19631040).
文摘This paper studies the parameter estimation of one dimensional linear errors-in-variables(EV) models in the case that replicated observations are available in some experimental points.Asymptotic normality is established under mild conditions, and the parameters entering the asymptotic variance are consistently estimated to render the result useable in construction of large-sample confidence regions.
文摘Stock loans are business contracts between borrowers and lenders in which the borroweruses shares of stock as collateral for the loan.Since the value of the collateral is subject to wide andfrequent price swings,valuing such a transaction behaves more like an option pricing problem thana debt valuation problem.This paper will list,prove,and analyze formulas for stock loan valuationwith finite horizon under various stock models,including classical geometric Brownian motion,meanreverting,and two-state regime-switching with both mean-reverting and geometric Brownian motionstates.Numerical examples are reported to illustrate the results.
基金supported by National Natural Science Foundation of China(Grant No.11371354)Key Laboratory of Random Complex Structures and Data Science+2 种基金Chinese Academy of Sciences(Grant No.2008DP173182)National Center for Mathematics and Interdisciplinary SciencesChinese Academy of Sciences
文摘We consider the periodic generalized autoregressive conditional heteroskedasticity(P-GARCH) process and propose a robust estimator by composite quantile regression. We study some useful properties about the P-GARCH model. Under some mild conditions, we establish the asymptotic results of proposed estimator.The Monte Carlo simulation is presented to assess the performance of proposed estimator. Numerical study results show that our proposed estimation outperforms other existing methods for heavy tailed distributions.The proposed methodology is also illustrated by Va R on stock price data.
