查询词典 implicit differential equation

Specifically, there are three kinds:(1) constant variation method to track two-body problem the root number of variables to establish perturbed equation;(2) coordinate perturbation method in order to track objects in real position and the location of an intermediate orbit perturbation differential equation as a variable to establish;(3) transformation theory, through a series of canonical transformation to reduce the order of the equations of motion to make it a more simple form.

具体做法有三种：（1）常数变异法，以二体问题轨道根数为变量建立摄动方程；（2）坐标摄动法，以天体在实际轨道上的位置与某一中间轨道上的位置差作为变量建立摄动方程；（3）变换理论，通过一系列正则变换，降低运动方程的阶数，使其具有更简单的形式。

This is the learning algorithm "Adams steps with four bands interpolation formula correction" of their times calculated for the numerical solution of differential equations procedures, they can modify the equation for the solution and the other equation, Hi!

这个算法是在学习"用Adams三步四阶内插公式校正"时自己遍的计算这个微分方程数值解的程序，可以修改里面的方程而用于求解其他的方程，请指正！

Firstly, several kinds of schemes were proposed according to the design demand. The best scheme was chosen after analyzing and comparing the schemes. The robot's structure was designed with Pro/Engineer and AutoCAD software. Secondly, the kinematics analysis conducted, coordinate transformation matrix using D-H method was set up, and the kinematics equation direct solution and inverse solution was deduced. The manipulative interface about the kinematics equation direct solution and inverse solution was completed with VC++ and the velocity Jacobian of displacement matrix was constructed using differential transform method. In the process of the trajectory planning based on robot's kinematics analysis, I propone a method by which we can get middle nodal point with normalizing factor in order to simplify our searching for these middle nodal points. In addition, I give these middle nodal points with actual physics signification. For eliminating contradiction between real-time and accuracy, I bring forward separately limit of error and reversal interpolation method. For decreasing calculation quantity, we resort to tri-spline interpolation in the articulation space.We analyse the work range of the robot by resorting to graphic means.

首先，作者针对机器人的设计要求提出了多个方案，对其进行分析比较后，选择其中最优的方案后用Pro/Engineer和AutoCAD软件进行了机器人模型结构设计；其次，进行了运动学分析，用D-H方法建立了坐标变换矩阵，推算了运动方程的正、逆解，运用VC++制作了正、逆运动学求解的求解界面；并且用微分变换法推导了速度雅可比矩阵；在基于机器人的运动学的轨迹规划中，通过在操作空间的规划，提出了归一化因子来求解中间结点，通过它可以使求解中间结点变得更简单，并且赋予这些中间结点实际的物理含义，对于规划中精确性和实时性的矛盾，提出了以误差极限法和反向插值法来解决的方法；为了减少规划过程中计算量，在关节空间进行三次样条插值；然后借助图解法进行工作空间分析，作出了实际工作空间的轴剖图。

Lyapunov second method is applied to analysis of partial stability of equilibrium of linear ordinary differential equation with constant coefficients, the problems on partial stable matrix, partial positive definite matrix and Lyapunov matrix equation are studied.

将Lyapunov第二方法用于研究常系数线性系统零解的部分变元渐近稳定性，可引出相关的一些特殊矩阵问题，包括部分稳定矩阵、部分位正定矩阵、矩阵方程的可解性等。

After a linear differential equation showing the pressure variation has been derived, the theoretical equation of the spraying time is...

建立了存储压力与时间的变量分离型一阶微分方程，进而得出喷射时间的理论公式。

This volume is concerned with the relationship between symmetries of a linear second-order partial differential equation of mathematical physics, the coordinate systems in which the equation admits solutions via separation of variables, and the properties of the special functions that arise in this manner.

这卷涉及在一个数学物理学的线的第2 命令的偏微分方程的对称性之间的关系，坐标系统，方程式通过变量分离和如此出现的特殊函数的特性承认解决办法。

After a linear differential equation showing the pressure variation has been derived, the theoretical equation of the spraying time is then obtain...

建立了存储压力与时间的变量分离型一阶微分方程，进而得出喷射时间的理论公式。

The general constitutive equation of the rheological component model is a linear ordinary differential equation of N order, which is a typical SISO linear stationary system.

岩石流变组合模型的本构方程通式—n阶线性常微分方程，是一种典型的SISO线性定常系统。

Then, according to differential equation of pile displacement and algebraic equation of neutral plane, the depth ratio of neutral planeλis solved by semi-analytical method. In the calculation example, the influence of pile compressive modulus, pile length and compressive modulus of subsoil beneath pile-bottom on the parameterλis analyzed. Moreover, the range ofλis also calculated.

然后，根据桩体位移微分方程和中性面代数方程，应用半解析的方法求解了中性面深度比λ，由算例分析了桩体压缩模量、桩长和桩端土压缩模量三个影响因素的变化对中性面深度比λ的影响，及刚性桩复合地基中性面深度比λ的取值范围。

p-Laplacian equation is an important model of differential equation from non- Newtonian fluid theory and nonlinear elasticity.

p-Laplace方程是一类比较重要的微分方程模型，它来自于非牛顿流体问题及非线性弹性问题等。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。