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The differential equations of equilibrium and natural boundary conditions are given.

在曲梁精确的翘曲位移基础上,根据变分原理,提出了对任意开口薄壁截面圆弧曲梁通用的线性理论,给出平衡微分方程和相应的边界条件。

The equilibrium equation and boundary conditions are developed in both configurations.

在初始和即时构形中给出平衡方程和边界条件。

The reaction rate constant and adsorption equilibrium constant in the equation were determined by means of initial concentration method.

利用所推测的动力学方程建立了气相光催化反应器的数学模型,并得到了非稳态条件下模型的解析解和数值解。

In Chapter 3, we obtain the Equilibrium Principle of the Rate Return in Financial Market, that is, the weighted sum of instant rate of return of nodes in the network is a constant.

本文第六章研究了出现突发事件时的收益率—流通量方程,证明了不同时间段的网络平均收益率也不相同,并且随脉冲条件的变化而变化,同时给出了相邻两个时间段网络平均收益率之间的关系。

And to solve the linear problem is turned to obtain the solution of an operator equation equivalent to it.

相应线性方程的带积分边值条件的混合问题,则是通过求解与线性方程等价的算子方程解决的。

The equation error method can be used in the localization of a moving target as well.

在存在测量噪声的条件下,基本的最小二乘方程差估计方法是有偏的。

It is proved that the existence of this kind of phenomenon is result from the common affect of the error of the spring equation as the thickness measuring instrument and the negative feedback mechanism of GM-AGC system under the certain conditions.

从数学分析和物理本质两方面解释了GM-AGC系统中的伪正反馈现象,证明了这种现象的出现,是作为厚度测量机构的弹跳方程的误差和GM-AGC的负反馈机制在某种条件下共同作用的结果,给出了避免其出现的方法。

The error equation of the fault observer is constructed based on a neural network prediction. The stability condition of this observer is proved.

在此基础上,建立了基于神经网络预侧的故障观测器误差方程,并证明了该观测器稳定的条件。

The stability theorem of estimated state error equation in form of M-matrix is obtained to guarantee the convergence of estimated state.

同样得到了采用M-矩阵判断状态估计误差方程的稳定性定理,给出确保估计状态收敛的一个充分条件。

In conclusion that there is one and only one balance convergence point is proved and convergence error equation is given when convergence condition is satisfied.

对算法收敛性进行分析和证明,给出算法的收敛判据并证明当满足收敛条件时必存在唯一平衡收敛点,同时给出收敛误差方程。

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