条件方程

In chapter 3, we first apply spectral method to obtain a sufficient condition of linear instability.

在第三章中，我们首先应用第二章谱分析的结果得到了广义复Ginzburg-Landau方程的平面波解线性不稳定的一个充分条件。

Based on the current continuity equation, using spherical harmonic function expansion, where lower boundary condition is the surface atmospheric electric potential, upper boundary condition is the electric potential of the bottom of the ionosphere, and non-homogeneous current source function of the vertical dipole assumptions is used for the charging of thunderstorms, the state analytical solution of global atmospheric electricity model in lower atmosphere is gotten.

本文从电流连续方程出发，采用球谐函数展开法，边界条件采用下边界为地表大气电势，上边界为电离层底部电势，非齐次电流源函数项采用垂直偶极子假设。

By using stability methods, when the given parameter meets certain conditions, the stability of equilibrium is discussed.

利用微分方程定性理论，当给定多数满足一定条件下，讨论了该系统平衡点的稳定性态。

The beginning of this article gives the definition of elliptic curve, ellipse standard equation, and the long axis of oval, short, with an area of the formula of a binary quadratic equation of the circumstances under which the judge said to provide the basis of an oval, as well as the conditions in this the long axis of the ellipse, short, with an area of what is the formula?

本文开始给出了椭圆曲线的定义，椭圆的标准方程，及椭圆的长轴，短轴，面积公式，对一个二元二次方程在什么情况下表示椭圆提供了判断依据，以及在此条件下的椭圆的长轴，短轴，面积公式是什么？

Based on the principle of total potential energy with stationary value in elastic system dynamics and the rule of "set-in-right-position" for formulating system matrixes, the vertical vibration equation set of the high-speed train and slab track time-dependent system was established considering the vertical connecting condition between the wheel and the rail.

考虑轮轨竖向位移衔接条件，基于弹性系统动力学总势能不变值原理及形成系统矩阵的"对号入座"法则，建立了高速列车－板式轨道时变系统竖向振动矩阵方程；分析了CA砂浆的刚度和阻尼时此系统竖向振动响应的影响规律。

According to piezoelectric equation and vibration theory of quartz crystal, we studied the elastic wave＇s transmission characteristic in a AT-cut thickness-shear-vibration quartz crystal, and the frequency conditions of which quartz crystal resonator formed stationary wave in electrode district.

根据石英晶体的压电方程和晶体振动理论，研究了AT-切石英晶体厚度切变振动模式下振动频率与结构参数间的关系，以及石英晶体谐振器在电极区形成稳衡驻波的频率条件及电极区外波的传播特性。

A structual model of generating natural gas hydrate is summarized in this paper. It's genesis conditions are calculated by means of the equations of statistical mech-anics and thermodynamics.

本文概述了生成天然气水合物的结构模型，并利用统计力学和热力学方程计算了它的生成条件，以控制热力学参数防止其生成。

In Chapter 3, the existence and uniqueness of time-delayed forward-backward stochastic differential equation are considered.

在第三章中，我们研究了带时滞的正倒向随机微分方程解的存在唯一性问题，在一定的单调性假设条件下，我们对这一问题给出了肯定的回答。

First of all, a system of linearized equations was set up with respect to an atmosphere at rest, and a couple eigenvalue-eigenfunction problem was formulated, which consists of horizontal and vertical structure equations with suitable boundary conditions.

首先，建立了静止大气状态下模式的线性化系统，并在适当的边界条件下将线性化系统分解成具有垂直与水平结构方程的本征值、本征函数耦合问题。

Moreover,we provide sufficient conditions for the existence of harmonicsolution and subharmonic solutions for equations with jumping non-linearities.

另外，还给出了具有跳跃非线性项的Duffing型方程存在调和解和次调和解的充分条件。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。