查询词典 dependent equations

The phase separation kinetics of liquid crystalline polymer/flexible polymer blend was studied with the coupled time dependent Ginzberg Landau equations for compositional order parameter and orientational order parameter S ij , which were numerically solved by means of the cell dynamical system in two dimensions .

利用元胞动力学方法在二维情况下对浓度、取向序参量的含时Ginzberg Landau方程进行数值求解，研究了液晶聚合物/柔性链聚合物共混体系的相分离动力学，考察了浓度、取向有序过程的耦合对相分离形态的影响。结果表明，此耦合作用对相分离的时间进程以及相分离图样的空间排布都有影响。

Cavity flows both with and without sound excitation are studied by solving the 2 D time dependent Reynolds averaged Navier Stokes equations using explicit predictor corrector difference algorithm of Mac Cormack.

采用显式MacCorma－ck二步预估校正有限差分格式，求解二维雷诺平均非定常Navier－Stokes方程；并用Cebeci－Smith代数紊流模型作适当修正来模拟紊流效应，对有、无前缘声激励两种情况的空腔流场作了数值模拟，计算的振荡频率及振荡幅值都与实验结果基本符合，并且较好地模拟出了声激励对流场的影响。

Based on Reddy higher-order shear deformation plate theory and general von Kármán-type equations, the analytical solutions for free vibration and dynamic response of simply supported functionally graded plates with piezoelectric layers in thermal environments are described with double Fourier series, where temperature-dependent material properties are taken into account.

基于Reddy高阶剪切变形理论和广义Kármán 型方程，用双重Fourier级数展开法求得了热环境下带压电层的功能梯度复合材料混合层合板的自由振动及动力响应的解析解，分析中考虑了材料热物参数对温度变化的依赖性，讨论了环境温度和控制电压对固有频率及动力响应的影响。

It is found that the R-matrix only permits anAbelian 〓continuous gauge transformation and the energy spectrum isgange invariant whereas the eigenvectors and eigenvalues of transfer matrix as wellas the Bethe ansatz equations are explicitly gauge dependent.

我们发现所得量子R-矩阵不具有〓离散对称性，这种对称性可被认为对模型的R-矩阵及Lax算符施加了一种附加约束，一旦去掉这种对称性，我们就可以得到对含有化学势一维Hubbard模型一种自然描述的量子R-矩阵。

In physical chemistry, indeterminate parameters in dependent variable and function can be ascertained by resolving linear simultaneous equations group.

在物理化学中，多数情况下，两个物理量之间的函数并非简单的直线关系，有可能因变量与函数式中各待定参数之间是线性关系。

The mentioned control scheme can effectively control two joint of space manipulator to stably track the desired trajectory in joint space. It has obvious advantages that with needless feedback and measured the position, velocity, acceleration, attitude angle velocity and attitude angle acceleration of the floating base. At the same time, no requirements for the dynamic equations of the system are linearly dependent on inertial parameters.

文中提到的控制方案能够有效地控制漂浮基空间机械臂的载体姿态及机械臂关节，可以协调地完成期望的轨迹运动，并具有不需要反馈和测量空间机械臂载体的位置、移动速度、移动加速度，同时也不要求系统动力学方程关于系统惯性参数呈线性函数关系的显著优点。

In Chapter 3, we investigate the delay-dependent stability analysis of linear multistep methods when they are applied to the neutral delay differential equations. We state a necessary condition for any linear multistep method applied to the neutral delay differential equation to be Nτ(0)-stable.

在第3章中，考虑了中立型延迟微分方程线性多步法依赖于延迟的稳定性分析，给出了任意线性多步法是Nτ（0）-稳定的一个必要条件。

The free-surface boundary conditions are satisfied on the free-moving surface exactly without any approximation or linearization. The governing equations and the boundary conditions on the time-dependent, physical domain are transformed onto a regular domain for numerical computations.

为於未知的自由液面边界上满足非线性边界条件，本模式利用座标转换，将非稳态且不规则物理区间的流场控制方程式与边界条件，映射至规则的计算区间，以进行数值解析。

At first,the limitation of the general heat conduction equation is discussed and then,nonlinear heat conduction equations are derived,when we consider that thermal conductivity,specific heat capacity and density are dependent of temperature.

研究了线性情形中热传导方程的局限性，在此基础上考虑到热传导方程中导热系数、比热容、密度与温度的关系，导出了非线性热传导方程，并求出了几类非线性热传导方程的孤波解。

In Chapter 4,we prove the existence of global weak solutions to the compressible NSP equations with density-dependent viscosity coefficients when the initial data are large and spherically symmetric by constructing suitable aproximate solutions.

在第四章里，对于粘性系数依赖于密度的等熵可压缩NSP方程，在R~3中包含球心的球状区域内，我们得到了大始值的，球对称弱解的整体存在性。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷