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    Distinct element method (DEM) is a highly nonlinear digitized dynamic simulative method of aggregation of discrete elements, the aggregation can be simulated as quasi-static and dynamic behavior of highly sophisticated system using simple equations by DEM.
    离散单元法作为一种离散颗粒集合体的高度非线性数字化动态仿真方法,使用简单的方程就可以对高度复杂系统的准静态和动态行为进行模拟。 作为多相混合体的土壤本身即是典型的离散结构,离散单元法是一种分析土壤发生巨大非连续变形的理想方法。
    The result of ideal equation, h equation and the new model are similar.
    另外本文模型与简单方程、兄h方程相比,其预测结果与简单方程、兄h方程的精度基本相当。
    By a simple transformation, (2+1)-dimensional Broer-Kaup equations are turned to a simple equation. Some new soliton solutions are obtained by combining the transformation with the homogeneous balance method.
    利用一个简单的变换将高阶 (2 +1)维Broer Kaup方程变为一个简单的方程 ,并且结合齐次平衡法给出了高阶(2 +1)维Broer Kaup方程的一些新的孤子解 .
    According to a quasi-lattice model, a simple equation for predicting the interfacial tensions of binary systems from UNIQUAC parameters and mutual solubility data has been obtained.
    基于准晶榴界面模型,提出用互溶度数据和UNIQUAC参数计算二元体系液液界面张力的简单方程
    From the model of interface phase and a semi-empirical equation derived to describe the variation of interfacial tension with the thickness of the interface phase, a simple equation has been developed to estimate the interfacial tensions of ternary systems.
    基于厚度变化的界面相模型,结合推导得到的界面张力随界面相厚度变化的半经验关系,提出由二元体系界面张力及互溶度数据估算三元体系界面张力的简单方程
    In section 6, we consider the dynamics of stochastic and resonant layer for a more simple equation.
    第六节考虑了一个较简单方程的随机层和共振层的动力学性质。
    For example, after operated with Fourier transformation, Helmholtz equation becomes a simple equation with a solution to plane wave, which describes propagation of sine wave in the uniform media.
    例如,对Helmholtz方程做傅里叶变换,得到一个具有全局化的平面波解的简单方程,傅氏调谐基函数在均匀介质中的传播即依赖于这个方程。
    The main problems under consideration is how to seek efficient transformations that can reduce the equation(s) to be solved to one(s) which is (are) simpler and easily solved.
    考虑的问题主要为:如何从待求解的方程或方程组出发,寻找有效的变换,将原方程(组)变为简单的、易解的方程,通过求解简单的方程,而获得原方程或方程组的精确解;
    In ref. 1 simple equations are obtained which express the thermodynamic properties of non-dissociative products of combustion of hydrocarbons with air. In present paper this method is extended to the ease of fuel consisting of C-H-O-N'-S.
    文献[1]给出了表示烃与空气的非离解燃烧产物热力性质的简单方程,本文把这种方法推广到C—H—O—N’—S类型的任意燃料.
    Under the conditions similar to industrial ammonia synthesis, the intrinsic kinetics of Series "A" Catalysts (A110, A106) made in China for ammonia synthesis has been investigated.
    在近似工业合成氨的实际条件下,研究了我国研制的A系工业催化剂表面上的本征动力学。 在用简单的方程的修正表达式对实验数据作电算处理之后,证明了A系催化剂表面的氨合成动力学用方程来描述是基本适用的、有效的。
    When the coefficients of (1) do not satisfy the above-mentioned conditions, we consider only equation (33) which is a particular case of equation (1). A solution of cauchy's problem for (33) is presented in terms of Riemann's function.
    当(1)的系数不满足上述关系时,我们对一个较简单的方程(33),通过Riemann公式建立了其柯西问题解的表达式。
    According to characteristic theory, Saint-Venant Equations are reduced to the form expressed by Riemann invariants. We first obtained elementary function expressions of Riemann invariants for the case of trapezoid cross-section, expanding integral fuction in Taylor's series and integrating it, then found Ritter's solution of dam-breaking wave.
    按特征理论将Saint-Venant方程组化成不变量形式后,对被积函数先用级数展开再积分,从而得到梯形断面Riemann不变量的初等表达式,然后导出溃坝波的基本解式,其数值求解工作简化为简单的方程求根问题。
    Then, the solutions of such equations can be derived by a system of solving and simplifying rules, and algebraic laws of programs.
    最后,简单方程的解可由方程化简与求解的一组公式以及程序代数定律形式地导出。
    By means of some limiting procedures, the solutions of a complex nonlinear equation with many parameters could degenerate into the solutions of a simple equation with less parameters. In this paper, taking KdV equation and high order KdV equations as example, we analyse the possibility of the inverse procedure of the limiting process mentioned above. The results show that deforming a solution of a simple equation into that of the.
    从具有较多参数的复杂非线性方程的解出发,取某些参数的极限,这些解就退化到具有较少参数的简单方程的解,本文以KdV方程的行波解为例说明对于某些特解,上述极限过程的逆过程,即将简单方程的解形变到复杂方程的解是可能的,但一般来说并不一定具有唯一性。
 

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