通过实验结果，我们阐明了效用模型下，各因素对最优规划解及DPG算法复杂度的影响。
By the experimental result, we clarify every factor under utility model impact on optimum planning solution and DPG algorithm complexity.
我们已经求得了一个不通过轴线的解以及一个只通过轴线一次的解。
We have found a solution which does not cross the axis and one which crossed the axis once.
通过对该方程的进一步分析后我们发现，在超导体中不仅存在电磁波动解，而且还存在类似于常规导体的电磁波趋肤效应，其趋肤尺度明显地依赖于电磁波的波动频率。
Through the analysis of this wave equation, we find there exists the skin effect in the superconductor, of which the skin depth is dependent on the wave frequency.
通过控制二次反应的条件，我们就可以控制热解产品的最终组成。
We can adjust the final pyrolysis product composition by the control of secondary reactions conditions for different processes.
通过对离散傅立叶逆变换的分析，我们得到一个线性方程组，它的解可以作为序列的谱。
Analyzing inverse DFT, we obtained a system of linear equations, whose solution can be taken as the spectrum of the data series.
我们将该问题描述为一个连续时间随机控制模型，通过对价值函数性质的讨论，我们给出了模型的封闭解。
We formulate the problem as a continuous-time stochastic control model. Through analyzing the properties of the expected value function, we derive its close-form solution.
通过对语义项在心理空间中投射规律的考察，我们发现心理空间理论揭示了信息接受者对话语意义的解歧过程。
By examining the projection of elements between mental Spaces, it is shown that the theory of mental Spaces throws light on the disambiguation process of discourse meaning.
如果我们已知介质中横波与纵波速度的比值、水平界面的埋藏深度和炮检距，炮点到共转换点的水平距离就可以通过解一个四次方程求出。
Given the velocity ratio of S-to P-waves, the depth of reflector and the offset, the horizontal distance between source and the converting point can be determined by solving a quartic equation.
通过将其化为等价的积分方程，我们建立了该模型单稳情形下的波前解的存在性与唯一性。
By transforming the model to corresponding integral equation, the existence and uniqueness of traveling wave fronts are proved.
通过将其化为等价的积分方程，我们建立了该模型单稳情形下的波前解的存在性与唯一性。
By transforming the model to corresponding integral equation, the existence and uniqueness of traveling wave fronts are proved.
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