Starting from a modified Kobayashi-McMillan hamiltonian, ( 1) phase diagrams of liquid crystals of long molecules are calculated in the mean field approximation; 本文从修改了的Kobayashi-McMillan哈密顿量出发,(1)在平均场近似下计算了长棒形液晶分子的相图;
A further study given by the paper shows that so long as appropriate starting point is selected and reasonable locations of node points are positioned, two-dimensional quadratic splines always give precise approximation to many typical types of two-independent-variable chemical engineering curves. 本文还考察了将二维二次样条用于逼近各类典型的二维化工曲线族的误差,发现只要选取恰当的起始点和合适的节点布置,一般均能获得满意的精度。
On Starting from the generating functional of Green function in phase space and introducing exterior sources for canonical momenta, it turns out that the generating functional of proper vertices is equal to canonical action in tree approximation. 从相空间中Green函数的生成泛函出发,对正则动量引入外源,利用最陡下降法,证明了在树图近似下,正规顶角的生成泛函等于正则作用量。
In this paper, starting from the relation between two distinct topological structure, we propose a simple self-consistent method based on the Maxwell-Garnett theory, in order to improve the Bruggeman's effective medium theory ( mean-field-type approximation). 本文从二元无规混合物的两种不同拓扑结构出发,在Maxwell-Garnett理论的基础上,提出一种自洽的方法以改进类平均场的Bruggeman有效介质理论。
Starting from the Rayleigh diffraction integral and using analytic signal complex representation, the propagation equation of ultrashort pulses in free space has been derived in the near-field beyond the paraxial approximation, which is consistent with the paraxial results in previous literatures if the paraxial approximation is made. 从瑞利衍射积分公式出发,利用复解析信号法推导出了等衍射长度超短脉冲高斯光束在自由空间近场非近轴传输方程,在近轴近似条件下与文献已有的近轴结果一致。
Starting from the universal approximation theorem of multilayered feed forward neural networks, this paper proves that the finite time trajectory of nonlinear continuous time system with input can be approximated by the state vector of the output units of a class of recurrent neural networks. 本文从多层前馈神经网络的一般近似定理出发,证明了带有输入的非线性连续系统在有限时间段内的输出轨迹可以被一类反馈神经网络输出神经元的状态向量近似到任何程度。
Starting from the Kubo-Greenwood formula modified to include ion vibrations under the adiabatic approximation and considering that the low-lying excited normal modes of lattice vibrations are long-wave-length elastic waves, we propose a simple model for phonon-induced electrical resistivity at low temperatures in highly resistive metallic alloys. 基于绝热近似下的Kubo-Greenwood公式,考虑低激发声子是长格波,本文提出一个分析高阻金属中低温下晶格振动影响电流传导的简单模型。
Starting from the approximation of power series of P-SV converted wave reflection coefficient, the paper gave the approximations of P-SV converted wave reflection coefficient represented by multi-composition of different parameters and explored the theory and methods using these approximations for AVO weighted stack parameters inversion. 本文从P-SV转换波反射系数幂级数近似公式出发,给出了多个由不同参数组合表示的P-SV转换波反射系数近似式,并探讨了利用这些近似式进行AVO加权叠加参数反演的理论和方法。
Starting from the nonlinear differential equation for a non-uniform ferromagnet in mean field approximation, we apply the bifurcation theory to discuss the pheno-mena of magnetic phase transition. 从描写非均匀铁磁体的平均场近似的非线性微分方程出发,本文用分支点理论处理相变现象。
This paper proposes two improved program of particle filter algorithm, mainly starting from the selected importance function. Adding measurement information the current time into the probability distribution, we can get the approximation of the true probability distribution. 本文提出了两个粒子滤波算法的改进方案,主要从构建重要性函数出发,将当前时刻的测量信息纳入到建议概率分布中,逼近真实的后验概率分布。