本文将三次方程简化为二次方程，使计算得到很大简化。
In this paper, the cubic equation is simplified into a quadratic equation, thus greatly simplifying the calculation.
采用近似等价的方法，将含有混合密度的恢复方程简化为单一密度求解。
An approximate equivalence method is used to simplify the recovery equation with mixture densities into single density.
使用扩展线性化方法将飞机方程简化为工作点族上具有时变特征的线性系统形式；
The 6 freedom nonlinear dynamical equations of the aircraft are predigested at static operating points by extended linearization which still possess nonlinear characters.
采用复变函数将系统的动力学方程简化，利用谐波平衡法分析了系统的稳态解，得到了系统的幅频响应。
The stationary solution of system was solved by harmonic balance method, and the amplitude-frequency response was presented.
通过一系列的坐标变化和近恒等变换，将电力系统的动态方程简化成三阶规范形，从而得到系统的分岔方程。
The dynamical equations of the system are simplified to a3-order normal form with a series of coordinate and approximately identical transformations, and a bifurcation equation is thus obtained.
同时，作者还提出了两组普遍形式的故障诊断方程，并把这普遍形式的方程简化为实际应用时的简洁的矩阵形式。
Two general forms of fault diagnosis equation are presented. Further-more, for practical application, these general equations have been simplified and represented by their simple matrix forms.
由于有了简化的方程，我们很容易看出，这些允许的能级在那里。
And thanks to our equation simplified here, it's very easy for us to figure out what actually the allowed energy levels are.
同时，由于一些状态不可估计或估计效果很差，采用简化状态方程进行对准，存在着模型参数不确定性。
Meanwhile, as some states can not be estimated or have poor estimation, the simplified state equation employed in the alignment process will cause model parameter uncertainty.
通过对定子电压方程做有条件的简化，得到一种转子磁通观测算法。
Through simplification of stator's voltage equation, a method for observing the flux of rator is obtained.
并对在该模型下建立的动力矩阵用动力凝聚法进行简化，推导了相应的振动微分方程。
Through dynamic force condensing, the dynamic matrix of mega-frame is simplified, and corresponding oscillatory differential equation is obtained.
作某些简化之后得到下列诸方程。
运用拉格朗日动力学方程对简化的机器人模型分别在单、双脚支撑期进行了动力学建模，得到了一个便于控制的动力学模型。
By Lagrange dynamic equations, the dynamic model of the simplified biped is given respectively in the period of single-foot support and double - foot support, and this model is easy to control.
通过对波导中差频耦合方程的简化，推导出了转换效率的解析表达式。
By simplifying the coupled equations of DFG in waveguides, we provide analytical expressions of the conversion efficiency.
建立了带有TCR的单机无穷大系统的非线性状态方程，用以简化和模拟实际电力系统。
Nonlinear state equation of single machine infinite bus system with TCR is established to simplify and simulate real power system.
从空气污染扩散方程出发，经过简化推导，得出污染预报动力统计模型的数学形式。
By simplifying the equation of air pollutant diffusing, the mathematic form of dynamic statistics model of air pollutant forecast has been worked out.
对于一些特殊情况，给出了相应的简化方程。
The simplified equations are also given for some commonly encountered cases.
对于等离子体柱，我们讨论了几种可以将含有压缩量项的运动方程作某些简化的情形。
For a plasma column, several cases are considered which permit us to simplify to some extent the solution of the equation of motion including the compressibility term.
建立了符合实际的控制方程和简化物理模型。
The author erected the reasonable and simplied control equation and physical model.
在此基础上简化模型，推导出了高差混油浓度分布的基本方程。
So the model was simplified without consideration of the viscosity variation, and an equation for contamination concentration distribution caused by elevation difference was developed.
在推导的过程中未对方程进行任何简化以保证体现系统的耦合非线性特征。
There are no simplification and assumption in the procedure of derivation to make sure to express the coupling and nonlinear characteristics.
通过对弹性半空间问题基本方程的简化求解，可计算任意分布力作用下的弹性接触变形问题。
Based on the numerical solution for the equation of the elastic half-space problems, the local elastic flattening from the arbitrary force distribution can be evaluated.
利用三角函数作为一种近似方法，对单摆的动力学方程进行了简化，给出了大角度条件下单摆运动的周期的近似公式。
As an approximate method, with the trigonometric function, the simple pendulum dynamical equation is simplified, and the approximate formula for the period of simple pendulum movement is presented.
目标状态方程和量测方程得到了简化。
Both target status equation and measurement equation are simplified.
本文引入广义功率函数和简化拉格朗日方程，并用来分析复杂电路和机电系统。
The generalized power function is introduced and the reduced Lagrange equations are used in the analysis of complex circuits and Electromechanical systems.
从简化的颗粒运动方程出发，分析了在剪切流场中颗粒脉动强度和流体脉动强度之间的关系。
The relationship between turbulent intensity of particles and those of the carrier fluid was studied theoretically based on simplified particle motion equation.
基于湍流动能倾向方程，推导出了其只含风切变和大气稳定度的简化方程。
Based on the tendency equation of turbulent kinetic energy, its simplified equation including only wind shear and air stability was derived.
随后针对冷却塔这个特殊结构，把微分方程进行了简化，并且采用幂级数解法解答出自振微分方程。
Then this paper simplified the differential eguation contraposing the cooling tower which is a special structure, and adopted the power series method to solve the differential eguation.
随后针对冷却塔这个特殊结构，把微分方程进行了简化，并且采用幂级数解法解答出自振微分方程。
Then this paper simplified the differential eguation contraposing the cooling tower which is a special structure, and adopted the power series method to solve the differential eguation.
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