条件方程

Assuming the independence (or the weak-correlation) between the reflectivity and wavelet, the optimal estimation equations for the wavelet and reflectivity were derived respectively. Furthermore, pre-conditional conjugate gradient algorithm iteration inversion was applied to realize the simultaneous estimation of reflectivity and wavelet.

基于反射系数与子波相互独立的假设，分别构建了反射系数和子波最优估计方程，并采用预条件共轭梯度法迭代反演实现反射系数和子波的同时估计。

This paper aims to examine a class of the problems of third order nonlinear boundary value of singular perturbation by way of transforming unknown function.

以变换未知函数的方式研究一类奇摄动三阶非线性微分方程边值问题，在适当条件下，构造出问题的上下解。

Main results:(1) For the stochastic Volterra type integral equation with singular kernels,it is the first time to be investigated under non-Lipschitz conditions. The existence-uniqueness and Hlder\'s continuity are established.Here,an extended Minkowski\'s inequality plays a key role.

主要结论：(1)关于具有奇异核的随机Volterra型积分方程，我们首次在非Lipschitz条件下进行研究，得到解的存在唯一性和Hlder连续性(此处证明的一个关键步骤应用了推广的Minkowski不等式)。

When surface potential of the particles is high sinh y ≈ e y /2 in the nonlinear Poisson-Boltzmann equation.

在高电位的条件下，PB方程中的双曲正弦可以简化为指数函数，由此导出了高电位等同平板型颗粒的相互作用力与相互作用能的近似表达式。

Based on the analysis, the calculation model, motion equations and slippage criteria of isolated structures are presented.

在试验研究分析的基础上提出了隔震结构的计算模型、运动方程及滑动判别条件。

The author originally propsed a discrete dynamic model of pressure fluctuations for the deep slugging fluidized bed.

本文首次提出了深层节涌流化床离散化的压力波动动力学模型，由离散单元的瞬时均匀性条件，使得离散模型方程为一二阶常系数线性微分方程组

We consider the nonlinear Boussinesq waves and other two nonlinear waves in the Sobolev space or classical space.

如果受控的初值或受控的初边值满足一定条件，相应的非线性波方程在Sobolev空间中的渐近理论可以用来分析自然界中的一些现象。

Secondly, for a more general matrix equation in composition, we obtain another equivalent condition for the solvability of this equation and give an equivalent characterization to the solution set of the equation.

第二， 对于一般情况下的型矩阵方程，本文给出其可解的另一个等价条件，同时对其解集作了一个等价性描述。

Math a condition specified for the solution to a set of differential equations .

解一组微分方程的规定条件。

Its discretization is based on spectral elements in space and central differences method in time. The numerical result, shows that this approximation has spectral accuracy in space and up to second-order in time.

该解法引入一阶Clayton-Engquist-Majda吸收边界条件，在空间上利用谱元方法，在时间上利用中心差分的积分方法得到波动方程的离散形式，并给出具体算例进行了验证。

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。