Ionic conductivity is one of the crucial parameters for inorganic solid-state electrolytes.To explore the relationship between porosity and ionic conductivity,a series of Li_(6.4)Ga_(0.2)La_(3)Zr_(2)O_(12) garnet type...Ionic conductivity is one of the crucial parameters for inorganic solid-state electrolytes.To explore the relationship between porosity and ionic conductivity,a series of Li_(6.4)Ga_(0.2)La_(3)Zr_(2)O_(12) garnet type solid-state electrolytes with different porosities were prepared via solid-state reaction.Based on the quantified data,an empirical decay relationship was summarized and discussed by means of mathematical model and dimensional analysis method.It suggests that open porosity causes ionic conductivity to decrease exponentially.The pre-exponential factor obeys the Arrhenius Law quite well with the activation energy of 0.23 eV,and the decay constant is averaged to be 2.62%.While the closed porosity causes ionic conductivity to decrease linearly.The slope and intercept of this linear pattern also obey the Arrhenius Law and the activation energies are 0.24 and 0.27 eV,respectively.Moreover,the total porosity is linearly dependent on the open porosity,and different sintering conditions will lead to different linear patterns with different slopes and intercepts.展开更多
Fault parameters are important in earthquake hazard analysis.In this paper,theoretical relationships between moment magnitude and fault parameters including subsurface rupture length,downdip rupture width,rupture area...Fault parameters are important in earthquake hazard analysis.In this paper,theoretical relationships between moment magnitude and fault parameters including subsurface rupture length,downdip rupture width,rupture area,and average slip over the fault surface are deduced based on seismological theory.These theoretical relationships are further simplified by applying similarity conditions and an unique form is established.Then,combining the simplified theoretical relationships between moment magnitude and fault parameters with seismic source data selected in this study,a practical semi-empirical relationship is established.The seismic source data selected is also to used to derive empirical relationships between moment magnitude and fault parameters by the ordinary least square regression method.Comparisons between semi-empirical relationships and empirical relationships show that the former depict distribution trends of data better than the latter.It is also observed that downdip rupture widths of strike slip faults are saturated when moment magnitude is more than 7.0,but downdip rupture widths of dip slip faults are not saturated in the molnent magnitude rangcs of this study.展开更多
The relationships between soil total nitrogen(STN)and influencing factors are scale-dependent.The objective of this study was to identify the multi-scale spatial relationships of STN with selected environmental factor...The relationships between soil total nitrogen(STN)and influencing factors are scale-dependent.The objective of this study was to identify the multi-scale spatial relationships of STN with selected environmental factors(elevation,slope and topographic wetness index),intrinsic soil factors(soil bulk density,sand content,silt content,and clay content)and combined environmental factors(including the first two principal components(PC1 and PC2)of the Vis-NIR soil spectra)along three sampling transects located at the upstream,midstream and downstream of Taiyuan Basin on the Chinese Loess Plateau.We separated the multivariate data series of STN and influencing factors at each transect into six intrinsic mode functions(IMFs)and one residue by multivariate empirical mode decomposition(MEMD).Meanwhile,we obtained the predicted equations of STN based on MEMD by stepwise multiple linear regression(SMLR).The results indicated that the dominant scales of explained variance in STN were at scale 995 m for transect 1,at scales 956 and 8852 m for transect 2,and at scales 972,5716 and 12,317 m for transect 3.Multi-scale correlation coefficients between STN and influencing factors were less significant in transect 3 than in transects 1 and 2.The goodness of fit root mean square error(RMSE),normalized root mean square error(NRMSE),and coefficient of determination(R2)indicated that the prediction of STN at the sampling scale by summing all of the predicted IMFs and residue was more accurate than that by SMLR directly.Therefore,the multi-scale method of MEMD has a good potential in characterizing the multi-scale spatial relationships between STN and influencing factors at the basin landscape scale.展开更多
Starting from a simple hierarchy model of seismicity,some empirical relationships of seismicity and the fractal natures of its time and space and of the source size of earthquakes have been derived in this paper.From ...Starting from a simple hierarchy model of seismicity,some empirical relationships of seismicity and the fractal natures of its time and space and of the source size of earthquakes have been derived in this paper.From the results,some conclusions can be drawn as follows.First,the coefficient b in the Gutenberg-Richter relationship is equal to 2bt where bt is the coefficient in the empirical relationship between the magnitude and average epicentral distance,and b is also equal to the coefficient bi in the empirical relationship between the magnitude and average time interval.Second,the fractal dimension values of the average epicentral distance,the average time interval,and the source size are 2,1,and 26,respectively.展开更多
The mentoring relationship between supervisor and postgraduate is crucially important to ensure the quality of education for postgraduates.In this paper,factors affecting the mentoring relationship were investigated b...The mentoring relationship between supervisor and postgraduate is crucially important to ensure the quality of education for postgraduates.In this paper,factors affecting the mentoring relationship were investigated by a binary logit model using data collected from 345 postgraduates.In addition,marginal effects were introduced to quantify the effects of factors on mentoring relationship.A total of 11 factors were found to be significant,and four of them could increase the risk of supervisor-postgraduate conflict,while the remaining seven factors could decrease the risk of supervisor-postgraduate conflict.Findings from this study can help better understand the mechanism of supervisor-postgraduate conflicts and develop effective countermeasures.展开更多
In this paper, we investigate empirically the relationship between object-oriented design metrics and testability of classes. We address testability from the point of view of unit testing effort. We collected data fro...In this paper, we investigate empirically the relationship between object-oriented design metrics and testability of classes. We address testability from the point of view of unit testing effort. We collected data from three open source Java software systems for which JUnit test cases exist. To capture the testing effort of classes, we used metrics to quantify the corresponding JUnit test cases. Classes were classified, according to the required unit testing effort, in two categories: high and low. In order to evaluate the relationship between object-oriented design metrics and unit testing effort of classes, we used logistic regression methods. We used the univariate logistic regression analysis to evaluate the individual effect of each metric on the unit testing effort of classes. The multivariate logistic regression analysis was used to explore the combined effect of the metrics. The performance of the prediction models was evaluated using Receiver Operating Characteristic analysis. The results indicate that: 1) complexity, size, cohesion and (to some extent) coupling were found significant predictors of the unit testing effort of classes and 2) multivariate regression models based on object-oriented design metrics are able to accurately predict the unit testing effort of classes.展开更多
This paper is mainly based on the relationship between the fractures and adjourned the brand perspective, it chooses classic domestics Pehchaolin skin care brand for study. On the basis of the relevant theoretical lit...This paper is mainly based on the relationship between the fractures and adjourned the brand perspective, it chooses classic domestics Pehchaolin skin care brand for study. On the basis of the relevant theoretical literature review on the use of empirical analysis methods for the recovery of Pehchaolin brands were analyzed to construct the Pehchaolin brand adjourned intention factors model and validate the model based on the data. Finally, based on the above analysis, some of China' s old brand development makes appropriate recommendations and marketing strategies.展开更多
基金supported by the Innovation and Entrepreneurship Project of Hunan Province,China(No.2019GK5053)Program of Huxiang Young Talents,China(No.2019RS2002)+1 种基金the Natural Science Foundation for Distinguished Young Scholars of Hunan Province,China(No.2020JJ2047)the Fundamental Research Funds for the Central Universities of Central South University,China。
文摘Ionic conductivity is one of the crucial parameters for inorganic solid-state electrolytes.To explore the relationship between porosity and ionic conductivity,a series of Li_(6.4)Ga_(0.2)La_(3)Zr_(2)O_(12) garnet type solid-state electrolytes with different porosities were prepared via solid-state reaction.Based on the quantified data,an empirical decay relationship was summarized and discussed by means of mathematical model and dimensional analysis method.It suggests that open porosity causes ionic conductivity to decrease exponentially.The pre-exponential factor obeys the Arrhenius Law quite well with the activation energy of 0.23 eV,and the decay constant is averaged to be 2.62%.While the closed porosity causes ionic conductivity to decrease linearly.The slope and intercept of this linear pattern also obey the Arrhenius Law and the activation energies are 0.24 and 0.27 eV,respectively.Moreover,the total porosity is linearly dependent on the open porosity,and different sintering conditions will lead to different linear patterns with different slopes and intercepts.
基金Ministry of Science and Technology of China(Grant No.2002DIB30076)China Seismological Bureau(Grant No.201009)
文摘Fault parameters are important in earthquake hazard analysis.In this paper,theoretical relationships between moment magnitude and fault parameters including subsurface rupture length,downdip rupture width,rupture area,and average slip over the fault surface are deduced based on seismological theory.These theoretical relationships are further simplified by applying similarity conditions and an unique form is established.Then,combining the simplified theoretical relationships between moment magnitude and fault parameters with seismic source data selected in this study,a practical semi-empirical relationship is established.The seismic source data selected is also to used to derive empirical relationships between moment magnitude and fault parameters by the ordinary least square regression method.Comparisons between semi-empirical relationships and empirical relationships show that the former depict distribution trends of data better than the latter.It is also observed that downdip rupture widths of strike slip faults are saturated when moment magnitude is more than 7.0,but downdip rupture widths of dip slip faults are not saturated in the molnent magnitude rangcs of this study.
基金financially supported by the Research Project of Shanxi Scholarship Council of China (2017– 075)the Natural Science foundation for Young Scientists of Shanxi Province (201801D221103)the Innovation Grant of Shanxi Agricultural University (2017ZZ07)
文摘The relationships between soil total nitrogen(STN)and influencing factors are scale-dependent.The objective of this study was to identify the multi-scale spatial relationships of STN with selected environmental factors(elevation,slope and topographic wetness index),intrinsic soil factors(soil bulk density,sand content,silt content,and clay content)and combined environmental factors(including the first two principal components(PC1 and PC2)of the Vis-NIR soil spectra)along three sampling transects located at the upstream,midstream and downstream of Taiyuan Basin on the Chinese Loess Plateau.We separated the multivariate data series of STN and influencing factors at each transect into six intrinsic mode functions(IMFs)and one residue by multivariate empirical mode decomposition(MEMD).Meanwhile,we obtained the predicted equations of STN based on MEMD by stepwise multiple linear regression(SMLR).The results indicated that the dominant scales of explained variance in STN were at scale 995 m for transect 1,at scales 956 and 8852 m for transect 2,and at scales 972,5716 and 12,317 m for transect 3.Multi-scale correlation coefficients between STN and influencing factors were less significant in transect 3 than in transects 1 and 2.The goodness of fit root mean square error(RMSE),normalized root mean square error(NRMSE),and coefficient of determination(R2)indicated that the prediction of STN at the sampling scale by summing all of the predicted IMFs and residue was more accurate than that by SMLR directly.Therefore,the multi-scale method of MEMD has a good potential in characterizing the multi-scale spatial relationships between STN and influencing factors at the basin landscape scale.
文摘Starting from a simple hierarchy model of seismicity,some empirical relationships of seismicity and the fractal natures of its time and space and of the source size of earthquakes have been derived in this paper.From the results,some conclusions can be drawn as follows.First,the coefficient b in the Gutenberg-Richter relationship is equal to 2bt where bt is the coefficient in the empirical relationship between the magnitude and average epicentral distance,and b is also equal to the coefficient bi in the empirical relationship between the magnitude and average time interval.Second,the fractal dimension values of the average epicentral distance,the average time interval,and the source size are 2,1,and 26,respectively.
基金supported by the Postgraduate Education and Teaching Reform Project of Harbin Institute of Technology(Grant No.JGYJ-2019043).
文摘The mentoring relationship between supervisor and postgraduate is crucially important to ensure the quality of education for postgraduates.In this paper,factors affecting the mentoring relationship were investigated by a binary logit model using data collected from 345 postgraduates.In addition,marginal effects were introduced to quantify the effects of factors on mentoring relationship.A total of 11 factors were found to be significant,and four of them could increase the risk of supervisor-postgraduate conflict,while the remaining seven factors could decrease the risk of supervisor-postgraduate conflict.Findings from this study can help better understand the mechanism of supervisor-postgraduate conflicts and develop effective countermeasures.
文摘In this paper, we investigate empirically the relationship between object-oriented design metrics and testability of classes. We address testability from the point of view of unit testing effort. We collected data from three open source Java software systems for which JUnit test cases exist. To capture the testing effort of classes, we used metrics to quantify the corresponding JUnit test cases. Classes were classified, according to the required unit testing effort, in two categories: high and low. In order to evaluate the relationship between object-oriented design metrics and unit testing effort of classes, we used logistic regression methods. We used the univariate logistic regression analysis to evaluate the individual effect of each metric on the unit testing effort of classes. The multivariate logistic regression analysis was used to explore the combined effect of the metrics. The performance of the prediction models was evaluated using Receiver Operating Characteristic analysis. The results indicate that: 1) complexity, size, cohesion and (to some extent) coupling were found significant predictors of the unit testing effort of classes and 2) multivariate regression models based on object-oriented design metrics are able to accurately predict the unit testing effort of classes.
文摘This paper is mainly based on the relationship between the fractures and adjourned the brand perspective, it chooses classic domestics Pehchaolin skin care brand for study. On the basis of the relevant theoretical literature review on the use of empirical analysis methods for the recovery of Pehchaolin brands were analyzed to construct the Pehchaolin brand adjourned intention factors model and validate the model based on the data. Finally, based on the above analysis, some of China' s old brand development makes appropriate recommendations and marketing strategies.