查询词典 dependent equations

In the forth chapter, by employing the comparison theorem in theory of difference equations together with pure analysis, we get sufficient conditions for permanence of a class of ratio-dependent discrete system.

第四章运用差分方程理论中的比较定理和纯分析的方法得到离散系统持久性的充分条件。

In this thesis, a semi-classical model of the force on an atom is used to describe the motion of a two-level atom interacting with a standing wave laser field. The velocity dependent force and momentum diffusion are derived through optical Bloch equations by using the matrix form of the continued fraction technique. By investigating the dynamic properties of atoms in laser field, we can control and manipulate the mechanical motion of an atom.

本文利用半经典理论，从二能级原子在激光驻波场中所满足的运动方程出发，推导出密度矩阵元所满足的递推关系，利用矩阵连分数方法求解出密度矩阵元，从而求出依赖于原子运动速度的光压力与动量扩散系数，通过讨论原子在激光场中的动力学行为，为原子在激光场中被囚禁、形成原子列阵以及可控制的量子态，从而为量子信息处理提供理论基础。

In the present ap-proach, the Cartesian components of the velocity are kept as the dependent variables, since the choice of the covariant or the contravariant velocity components would lead to a much more complex set of equations.

在当前方法，因为协变量的选择或contravariant速度组分将导致等式，复杂的形势速度的解析的组分被保留作为因变量。

A numerical method, where the pressure is used as a primary dependent variable, is presented for the solution of the two-dimensional steady Navier-Stokes equation in general curvilinear coordinates. SIMPLE (Semi-Implicit Method for Pressure Linked Equations) is mainly adopted.

本文首先详细推导了二维任意曲线坐标系下张量形式的流动控制方程及其和压力修正方程的离散形式，应用求解压力速度耦合的SIMPLE算法，以压力为主要求解变量对Navier-Stokes方程进行数值求解。

Using algebraic dynamical method, we have obtained the exact analytical solutions to the time dependent Schroedinger equations.

我们用代数动力学方法对以上两种系统进行求解，得到了严格的解析解。

These two problems are converted to mathematical problems of solving some matrix inequalities and Riccati equations which are dependent on the time delays.

它们的可解充分条件可以化为与时滞相关的矩阵不等式和 Riccati方程的形式。

This was demonstrated by a simulation with spatial dependent rate equations and experiment results of a plano-concave Nd:YVO4 laser.

我们利用一个纵向相关的速率方程式来描述与研究这个在平凹共振腔掺钕钒酸钇雷射的实验。

Based on the conventional SIMPLE algorithm, a set of new dependent variables of momentum equations is introduced to extend the application of the pressure correction method for compressibe viscous flows and to accelerate the convergence.

在传统SIMPLE算法的基础上，本文提出了一种新的动量方程流场控制变量的选取方法，进而使本文所提出的压力修正法更适用于可压粘性流动的数值求解，同时也加快了收敛速度。

Thus, the coefficients of governing equations are pressure dependent and consequently the analysis of transients in the two-component flows is more complex and difficult than in single-component flows.

而且，控制方程的系数是与压力相关的，因此在含有两种物质瞬变流动分析比单相流动更为复杂和困难。

The governing equations of laminate-faced sandwich cylindrical shallow shells based on the first-order shear theory with large deflection are high-order partial differential equations. Four dependent functions are involved.

大挠度剪切理论下复合材料夹层圆柱扁壳的稳定性控制方程是一组非线性高阶常系数偏微分方程，其中包含四个独立的函数，它们分别为横向挠度w、参考曲面的法线转角Φx、Φy和应力函数F。

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