简化方程

This paper discusses the Western sources of the methods employed in the Lixiang Kaocheng Houbian (Later Edition of the Established System of Calendrical Astronomy) to resolve the Kepler Equation in calculating the solar and lunar equations of center.

研究《历象考成后编》中求解刻卜勒方程以计算日月中心差的方法的来源及其精度，同时对书中日月理论的总体精度进行分析，发现：书中用于太阳和月亮中心差计算的方法分别是薄利奥和卡西尼方法的简化版本。

The satisfaction of Laplace equation of the velocity potential reduces the coefficients to only two unknown functions.

根据速度势满足拉普拉斯方程就可将这些系数简化到只有两个未知函数。

Because of the nonuniqueness in the positional solution, it's not easy to test the performance of the coordinated control system. So the model of NN was built to convert the vector of the length of 6 jars into the vector of the position of the motion deck. It's fast and accurate for the lengthwise direction. The state space system model of the six degree freedom motion simulator was built by the equations of electrodraulic servo mechanism and the multi-body dynamics equation of the six degree freedom motion simulator,the vector of the length of 6 jars was the control variable.

本文结合六自由度运动模拟器的多体动力学方程和电液伺服驱动机构的特性，经简化得出了具有实际意义的六自由度运动模拟器整体系统的状态空间方程式，通过分析该系统的稳定条件和能控性，采用状态反馈对系统的状态方程式进行合理配置，从而建立了以运动模拟器杆长向量为控制变量的运动模拟器整体控制系统，并将该控制系统输出的杆长向量转换为位置向量。

First the left side of the equation is turned into a linear operator.

首先通过积分变换，将方程的左端项简化成线性算子。

The way of solving matrix equation directly with primary transformation method is discussed with the premise of the matrix of coefficients being reversible, which makes the solving procedures more simple.

讨论了在系数矩阵可逆的前提下，如何用初等变换的方法直接求解矩阵方程，使求解过程更简化，同时给出一般线性方程组的初等变换直观解

On the assumption that the directions of each thruster are same, a new mathematical model is presented which the minimum objective function is deviation between variables.

第二种方法是本文首创的，即在推力器方向相对一致的假设下，以各变量间的离差最小为优化目标，以力的平衡方程为约束条件，建立了一种简化的推力分配数学模型。

The simplification for the non Newtonian fluid equation is made and some inverse solution s of flow function are obtained.

对非牛顿流体方程进行了简化求解，使用逆解方法得到了流函数的某些反解，使对二阶非牛顿流体的平稳平面流动有了进一步的认识与理

Proceeding by Bubnov-Galerkin method in combination with numerical method based on the quadrature formula the problem was reduced to a solution of a system of nonlinear integro-differential equations with singular kernel of relaxation.

根据Bubnov-Galerkin法，结合基于求积公式的数值方法，将问题简化为求解具有松弛奇异核的非线性积分－微分方程的问题。

Precession and nutation of top and gyrosscope is discussed by elementary method,equations of motion are solved using simplified models, and an elementary analysis is made.

用初等方法讨论了陀螺与陀螺仪的进动及章动，用简化模型求解了运动方程，并给出了它们的初等分析。

Because the open-loop gain of operational amplifier is very large, equation (6.55) can be simplified to

因为开环增益运算放大器，是非常大的，方程（ 6.55 ），可以简化，以

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失