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A fractional order model method based on Mittag-Leffler Functions for education evaluation is proposed in this paper. Course evaluation is necessary means to ensure the improvement of course construction level. Firstly, analytical solution of linear fractional-order systems is promoted. Secondly, fractional order model of course evaluation is proposed. And fractional evaluation model is composed of...
The control equations use the Navier - Stokes of three-dimensional viscous, compressible, isentropic, unsteady flows, and the spatial discretization uses the cell-center finite volume method to do the numerical simulation of the propagation laws of the compression wave when the high-speed train pass through the tunnel with the vertical shaft, and the simulation results are consistent with the on-site...
Influence of production cost on export price is always the hot topic of foreign trade research. Previous researches just use original series to establish models but not fully discover information content of time series signals. Taking China's citrus trade for example, the paper uses wavelet analysis to decompose production cost and export price into four series, which are trend, cycle, volatility...
Efficient market theory is always the cornerstone to establish and study modern financial theory. But its explanatory power for financial markets is weakening with the appearing of financial crisis. Rapid development of nonlinear science such as wavelet analysis and fractal theory provides new theoretical tools for groping financial market. Taking intraday closing price of soybean futures on Dalian...
Adopt state space theory for improving GARCH-M model; take the impacts of structural changes of stock market risks on stock holders?? psychological anticipation while forecasting the stock market returns. Make the comparison of the forecast precision of the improved model with that of the existing one through the observation of Shanghai stock market. It??s proved that the improved model has better...
This article has estimated the stochastic frontier production function of grain farming through building a parallel data model. It has divided the growth source of grain output into factor input, technical progress and technical efficiency. The research indicates that the growth of the grain output in Hubei during the period from 1980-2005 mainly derived from agricultural technical, following was...
LPI is not efficient in time and memory which makes it difficult to be applied to very large data set. We propose a optimal algorithm called FLPI. FLPI decomposes the LPI problem as a graph embedding problem plus a regularized least squares problem. Such modification avoids eigen decomposition of dense matrices and can significantly reduce both time and memory cost in computation. Moreover, with a...
We present the concept of the complexity radii of nonlinear dynamic system (NDS) with linear perturbations. In this paper we improve the algorithm of the complexity radii. As a "robust measure" of dynamic complexity of NDS, the complexity radii provide the tolerated parameter perturbation values of NDS without losing its dynamic complexity. As an application, the real complexity radii of...
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