By asing the nonclassical method of symmetry reductions, the exact solutions for general variable coefficient KdV equation with dissipative loss and nonuniformity terms are obtained. When the dissipative loss and non...By asing the nonclassical method of symmetry reductions, the exact solutions for general variable coefficient KdV equation with dissipative loss and nonuniformity terms are obtained. When the dissipative loss and nonuniformity terms don't exist, the multisoliton solutions are found and the corresponding Painleve II type equation for the variable coefficient KdV equation is given.展开更多
Correlation analysis is an effective mechanism for studying patterns in data and making predictions.Many interesting discoveries have been made by formulating correlations in seemingly unrelated data. We propose an al...Correlation analysis is an effective mechanism for studying patterns in data and making predictions.Many interesting discoveries have been made by formulating correlations in seemingly unrelated data. We propose an algorithm to quantify the theory of correlations and to give an intuitive, more accurate correlation coefficient.We propose a predictive metric to calculate correlations between paired values, known as the general rank-based correlation coefficient. It fulfills the five basic criteria of a predictive metric： independence from sample size,value between-1 and 1, measuring the degree of monotonicity, insensitivity to outliers, and intuitive demonstration.Furthermore, the metric has been validated by performing experiments using a real-time dataset and random number simulations. Mathematical derivations of the proposed equations have also been provided. We have compared it to Spearman＇s rank correlation coefficient. The comparison results show that the proposed metric fares better than the existing metric on all the predictive metric criteria.展开更多
A four-function principle was proposed for the optimization design of green high performance massive concrete（GHPMC）based on the theory of value engineering and the adiabatic temperature change control.A set of conc...A four-function principle was proposed for the optimization design of green high performance massive concrete（GHPMC）based on the theory of value engineering and the adiabatic temperature change control.A set of concrete formulas were designed according to the orthogonal experiment.The experimental results were analyzed by applying the variance analysis method to find out the effects of influential factors and determine the optimum mixture formula.In addition,the four-function principle was successfully applied to optimize the mixture formula in field massive concrete engineering.The practical results show the adiabatic temperature change of massive concrete could be efficiently controlled,and the excellent durability,good workability and high compressive strength could be achieved.展开更多
基金Supported by the Develop Programme Foundation of the National Basic research(G1 9990 3 2 80 1 )
文摘By asing the nonclassical method of symmetry reductions, the exact solutions for general variable coefficient KdV equation with dissipative loss and nonuniformity terms are obtained. When the dissipative loss and nonuniformity terms don't exist, the multisoliton solutions are found and the corresponding Painleve II type equation for the variable coefficient KdV equation is given.
文摘Correlation analysis is an effective mechanism for studying patterns in data and making predictions.Many interesting discoveries have been made by formulating correlations in seemingly unrelated data. We propose an algorithm to quantify the theory of correlations and to give an intuitive, more accurate correlation coefficient.We propose a predictive metric to calculate correlations between paired values, known as the general rank-based correlation coefficient. It fulfills the five basic criteria of a predictive metric： independence from sample size,value between-1 and 1, measuring the degree of monotonicity, insensitivity to outliers, and intuitive demonstration.Furthermore, the metric has been validated by performing experiments using a real-time dataset and random number simulations. Mathematical derivations of the proposed equations have also been provided. We have compared it to Spearman＇s rank correlation coefficient. The comparison results show that the proposed metric fares better than the existing metric on all the predictive metric criteria.
文摘A four-function principle was proposed for the optimization design of green high performance massive concrete（GHPMC）based on the theory of value engineering and the adiabatic temperature change control.A set of concrete formulas were designed according to the orthogonal experiment.The experimental results were analyzed by applying the variance analysis method to find out the effects of influential factors and determine the optimum mixture formula.In addition,the four-function principle was successfully applied to optimize the mixture formula in field massive concrete engineering.The practical results show the adiabatic temperature change of massive concrete could be efficiently controlled,and the excellent durability,good workability and high compressive strength could be achieved.
