多项式模型

In addition to the full-temperature q-state Potts model, the structure of the transfer matrix for the zero-temperature Potts antiferromagnet, i.e. the chromatic polynomial, is also obtained.

除了任意温度的q 态Potts模型外，我们也得到零度反铁磁Potts模型，也就是色多项式，的转移矩阵的结构。

In allusion to dynamic nonlinear large-scale industrial processes, to bring up gained the method of decentralized identification for the strong consistency estimates of the divisible steady-state models, it is used that property of polynomial can infinitely approach to the nonlinear function and in optimization processes use step signals as input signals, the divisible steady-state models of dynamic nonlinear large-scale industrial processes, and the cognizable conditions are obtained.

针对动态非线性大工业过程，提出了得到其可分稳态模型强一致性估计的分散辨识方法；利用多项式对非线性函数的无限逼近的性质和优化过程中设定点的阶跃信号作输入激励信号，获得了动态非线性大工业过程的可分稳态模型和可辨识的条件。

However, this polynomial regression model suffered from thecolor metameric problem. Herewith, to minimize the metamerism, a model was developed based on the principal component analysis and back-propagation artificial neural network for scanner spectral characterization, which could reconstruct more accurate spectrum in comparison with the related international experimental results.

但是，扫描仪的多项式回归色度特征化模型存在同色异谱问题，因此本文提出了基于主元分析法和神经网络技术实现扫描仪颜色光谱特征化的算法模型，解决了同色异谱的问题，并且获得了比国际上同类研究更高的图像光谱重构精度。

School of Electronic and Information Engineering,Dalian University of Technology,Dalian,Liaoning 116024,ChinaStable processes can better model the impulsive random signals and noises in physical observation.This paper briefly describes its spectral representation,proposes a new different spectral density from power spectrum density of second order processes,thus can get a new concept of stable white noise based on covariation spectrum,and a method of identification of nonlinear PAR system based on least p-norm.

描述了稳定分布的谱表示，提出了共变谱密度的概念，得到一种基于自共变序列与共变谱的稳定分布白噪声与有色噪声的概念及其判断标准，对传统意义上的白噪声进行了广义化，依据多项式自回归系统模型，对基于稳定白噪声输入的系统输出非线性稳定有色噪声建立其非线性PAR模型，提出基于最小P范数的EIRLP算法对非线性PAR系统进行辨识。

All coefficients of the correlation were more than 0.9. However, exponential equation was the best.

其垂直分布可用指数模型、乘幂模型、多项式函数表示，相关系数都在0.9以上。

The general orthogonal polynomial is adopted for model approximation of DPS and the predictive control of DPS is translated into the lumped one. Model algorithmic control is applied to deal with the lumped parameter system and a control law is given. The predictive controller of DPS is obtained by inverse transformation. The method and steps are discussed in detail.

该方法采用广义正交多项式对分布参数系统的模型进行逼近，将离散时间分布参数系统的预测控制问题转化为集中参数系统的预测控制问题，运用模型算法控制方法对集中参数系统进行预测控制，求出控制律，经反演变换得出分布参数系统的预测控制。

It is proved that the problem of determining whether there is a Hamiltonian path from a specified vertex s to another t on a given digraph can be reducible at polynomial time to the problem of constructing a minimum spanning flow in a two-terminal extended network Ns,t, with the unit capacity for all arcs.

在此基础上，利用网络最小生成流的概念提出了一个修正模型，并证明了无环最小生成流问题可以在多项式时间内转换为哈密顿圈问题。文中最后指出，这一新的模型为解决在有向图内构造哈密顿轨的有效算法提供了一个新的思路和方法。

The back-propagation neural network was applied to modeling the primary mirror surface with inputs of actuator applied force and outputs of Zernike polynomial coefficient. By using primary mirror finite element analysis data, BP model was trained offline and its predictive precision was verified.

应用BP神经网络的方法建立了以致动器作用力为输入、镜面形变的Zernike多项式拟合系数为输出的镜面形变模型，并利用镜面形变的有限元分析的大量数据，对BP模型进行离线训练和模型预测效果的检验。

Topics may include review of classical time series models, forecasting, smoothing, regression methods, polynomial trend models, seasonal models, and forecast monitoring and intervention.

包括传统的时间序列模型，预测，平滑，回归方法，多项式趋势模型，季节模型，预测监控与干预。

The theoretical study shows that the continuous variability of non-operator, and operation, and or operation can be realized in mathematics, and can use a variety of forms such as mathematical index, polynomial and trigonometric. This paper introduces several and/or operations models, and the comparison by the simulation experiment shows that the model I is a more ideal model.

理论研究表明泛逻辑中泛非、泛与／或运算的连续可控性在数学上是完全可以实现的，并可以用多种数学形式如指数、多项式和三角函数等形式来实现，本文介绍的泛与／或运算的几个模型，通过仿真实验比较可以得出模型一就是一个比较理想的模型。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。