A new Runge-Kutta （PK） fourth order with four stages embedded method with error control is presentea m this paper for raster simulation in cellular neural network （CNN） environment. Through versatile algorithm, si...A new Runge-Kutta （PK） fourth order with four stages embedded method with error control is presentea m this paper for raster simulation in cellular neural network （CNN） environment. Through versatile algorithm, single layer/raster CNN array is implemented by incorporating the proposed technique. Simulation results have been obtained, and comparison has also been carried out to show the efficiency of the proposed numerical integration algorithm. The analytic expressions for local truncation error and global truncation error are derived. It is seen that the RK-embedded root mean square outperforms the RK-embedded Heronian mean and RK-embedded harmonic mean.展开更多
With the repeated in-depth development of the technological revolution,the combination of education and technology constantly shows a new form.Modern education and Internet education have become the new direction of t...With the repeated in-depth development of the technological revolution,the combination of education and technology constantly shows a new form.Modern education and Internet education have become the new direction of the current education development efforts.The development of technology has brought great Gospel for the national education.Based on this,from the traditional and modern perspectives,this paper discusses the form and significance of teaching and learning paths,to show the new value of education brought by the change of teaching and learning paths under the background of educational data.展开更多
By virtue of Cauchy’s integral formula in the theory of complex functions,the authors establish an integral representation for the weighted geometric mean,apply this newly established integral representation to show ...By virtue of Cauchy’s integral formula in the theory of complex functions,the authors establish an integral representation for the weighted geometric mean,apply this newly established integral representation to show that the weighted geometric mean is a complete Bernstein function,and find a new proof of the well-known weighted arithmetic-geometric mean inequality.展开更多
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文摘A new Runge-Kutta （PK） fourth order with four stages embedded method with error control is presentea m this paper for raster simulation in cellular neural network （CNN） environment. Through versatile algorithm, single layer/raster CNN array is implemented by incorporating the proposed technique. Simulation results have been obtained, and comparison has also been carried out to show the efficiency of the proposed numerical integration algorithm. The analytic expressions for local truncation error and global truncation error are derived. It is seen that the RK-embedded root mean square outperforms the RK-embedded Heronian mean and RK-embedded harmonic mean.
文摘With the repeated in-depth development of the technological revolution,the combination of education and technology constantly shows a new form.Modern education and Internet education have become the new direction of the current education development efforts.The development of technology has brought great Gospel for the national education.Based on this,from the traditional and modern perspectives,this paper discusses the form and significance of teaching and learning paths,to show the new value of education brought by the change of teaching and learning paths under the background of educational data.
文摘By virtue of Cauchy’s integral formula in the theory of complex functions,the authors establish an integral representation for the weighted geometric mean,apply this newly established integral representation to show that the weighted geometric mean is a complete Bernstein function,and find a new proof of the well-known weighted arithmetic-geometric mean inequality.
