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This make it difficult to know the essence of fluidized beds. In order to viewthe motion behavior of a single particle in a fluidized bed in a reasonable cost, thegas-solid flow in a fluidized bed is modeled by a combined approach of discrete particlemethod and computational fluid dynamics, in which the motion ofindividual Particles is obtained by solving Newton\'s second law of motion and gas flowby the Navier-Stokes equation based on the concept of local average.

为了用数值模拟方法来弥补传统实验方法的不足，达到从单个颗粒的尺度上来研究流化床中颗粒的运动和气体流场的剧烈变化情况的目的，本论文建立了基于用Newton第二定律计算单个颗粒运动轨迹的离散颗粒法和基于区域平均值的计算流体动力学方法的数学模型的建立和求解过程；并依据Newton第三定律建立了DPM模型和CFD模型的耦合模型，编写和调试了DPM和CFD的耦合程序。

In recent years, the researches in mathematical biology which modeled by normal differential equations are mainly concentrated on two branches: 1 continuous biological dynamical systems; 2 impulsive semi-dynamical systems.

生物数学中以生物动力系统为基础的研究近年来得到了长足的发展，其中以微分方程为模型的研究工作主要集中在连续动力系统和脉冲动力系统上。

The earth is modeled as an oblate and rotating spheroid, and higher order terms in the multiple expansion of gravitational fields are considered. To avoid singularities in computations, the quaternion representation of the spacecraft attitude is used in the angular kinetic model equations.

其中地球被描述为绕短轴自转的椭球体，重力场梯度由四阶Jeffery常数描述，航天飞机的姿态运动用四元素法描述，以避免模型方程中的数值奇异点。

The Gotham license plates are modeled directly off of those of the state of Illinois.

哥潭镇的车牌是直接从伊利诺伊州的车牌复制而来的。

Through the results of surveys, this article modeled a generalized phenomenon of a conventional wedding ceremony corresponding to socioeconomic background, and divided the period into four sub-periods. This article took time as the ordinate axis and investigated the wedding ceremony and instruments across history. Based on the conventional wedding model, we tried to observe the veins of change and analysis the cultural significance.

依据调查结果，将传统婚俗的普遍现象整理出一个模式，再将婚俗型态相近者划分为同一时期，同时，配合其社经背景将整个婚俗变迁的过程分为四个时期，全文以时间为纵轴；以婚俗仪式及器物作横向探讨，在传统婚俗模式的基础上，进行四个时期的比较，目的在观察该区婚俗变迁之脉络，并分析其内在文化意涵。

The organismic world view is modeled on living systems such as plants and animals rather than machines.

在机体的世界观是模仿生物系统，如植物和动物，而不是机器。

First, orthogonal circle operator was modeled in terms of Zernike orthogonal complex moment; the one-to-one mapping between the edge point and the parameters of the circle was established by the algorithm. Then, quadratic polynomial interpolation was adopted to further locate the edge points in the gradient direction.

首先根据Zernike正交复数矩建立圆物体边缘点与边缘参数之间的映射关系，并提取边缘点；然后利用二次多项式插值在梯度方向上对提取出的边缘点进行进一步定位；最后利用最小二乘法拟合插值后的边缘点，得到亚像素精度的圆参数。

A node payoff function which involved of utility function and cost function is modeled in the algorithm and the transmitting power vector is obtained by parallel update. It is proved that the sensor network can reach Nash Equilibrium with this transmitting power vector, and in this situation all the nodes' payoff function is maximized.

在算法中为传感器节点构造包含效用函数和代价函数的支付函数模型，通过并行迭代的方式获得网络功率控制的纳什均衡策略，使所有节点的支付函数达到最优化。

The character doll was modeled to express a certain emotion, from pensiveness to glee, depending upon the model.

按照不同的模特，人物娃娃被塑造成有各种情绪的人物样式，不论作沉思状，还是作兴奋状，应有尽有。

At first the auxiliary magnetic bearing is modeled as a single degree of freedom system with nonlinear magnetic force, which is then analyzed qualitatively by the phase plane method.

对电磁执行器直接安装在主支承上的一种新型支承结构－电磁辅助支承系统的稳定性进行研究。

If you were not , and OS X just booted normally, have no fear.

如果你没有，和OS X刚刚启动通常，没有恐惧。

I only want to preserve our all .

我只想保存好我们的一切