Temperature prediction plays an important role in ring die granulator control,which can influence the quantity and quality of production. Temperature prediction modeling is a complicated problem with its MIMO, nonline...Temperature prediction plays an important role in ring die granulator control,which can influence the quantity and quality of production. Temperature prediction modeling is a complicated problem with its MIMO, nonlinear, and large time-delay characteristics. Support vector machine( SVM) has been successfully based on small data. But its accuracy is not high,in contrast,if the number of data and dimension of feature increase,the training time of model will increase dramatically. In this paper,a linear SVM was applied combing with cyclic coordinate descent( CCD) to solving big data regression. It was mathematically strictly proved and validated by simulation. Meanwhile,real data were conducted to prove the linear SVM model's effect. Compared with other methods for big data in simulation, this algorithm has apparent advantage not only in fast modeling but also in high fitness.展开更多
The constrained motion of a particle on an elliptical path is studied using Hamiltonian mechanics through Poisson bracket and Lagrangian mechanics through Euler Lagrange equation using non-natural Lagrangian. We calcu...The constrained motion of a particle on an elliptical path is studied using Hamiltonian mechanics through Poisson bracket and Lagrangian mechanics through Euler Lagrange equation using non-natural Lagrangian. We calculate the generalized momentum p<sub>θ</sub> and we find that this quantity is not conserved and the conjugate θ coordinate is not a cyclic coordinate.展开更多
The symplectic scheme-shooting method （SSSM） for solving the two-dimensional time-independent Schrodinger equation is presented. The generalized time-independent Schrodinger equation based on the active and cyclic c...The symplectic scheme-shooting method （SSSM） for solving the two-dimensional time-independent Schrodinger equation is presented. The generalized time-independent Schrodinger equation based on the active and cyclic coordinates is evaluated. The procedure of the separation of the active and cyclic coordinates of A2B type molecule （C2v symmetry） is given展开更多
基金Nantong Research Program of Application Foundation,China(No.BK2012030)Key Project of Science and Technology Commission of Shanghai Municipality,China(No.10JC1405000)
文摘Temperature prediction plays an important role in ring die granulator control,which can influence the quantity and quality of production. Temperature prediction modeling is a complicated problem with its MIMO, nonlinear, and large time-delay characteristics. Support vector machine( SVM) has been successfully based on small data. But its accuracy is not high,in contrast,if the number of data and dimension of feature increase,the training time of model will increase dramatically. In this paper,a linear SVM was applied combing with cyclic coordinate descent( CCD) to solving big data regression. It was mathematically strictly proved and validated by simulation. Meanwhile,real data were conducted to prove the linear SVM model's effect. Compared with other methods for big data in simulation, this algorithm has apparent advantage not only in fast modeling but also in high fitness.
文摘The constrained motion of a particle on an elliptical path is studied using Hamiltonian mechanics through Poisson bracket and Lagrangian mechanics through Euler Lagrange equation using non-natural Lagrangian. We calculate the generalized momentum p<sub>θ</sub> and we find that this quantity is not conserved and the conjugate θ coordinate is not a cyclic coordinate.
基金This work was supported by the National Natural Science Foundation of China (10171039, 10074019)The Special Funds for Major State Basic Research Projects (G1999032804)The Young Teacher Foundation of Jilin University.
文摘The symplectic scheme-shooting method （SSSM） for solving the two-dimensional time-independent Schrodinger equation is presented. The generalized time-independent Schrodinger equation based on the active and cyclic coordinates is evaluated. The procedure of the separation of the active and cyclic coordinates of A2B type molecule （C2v symmetry） is given
