查询词典 compatible system of algebraic equations

In Chapter 2 is concerned the Lie point symmetry group of two type WKI equations based on the motions of plane and space curves by using the Lie classical method.

通过研究平面和空间曲线的运动，得出两类WKI方程，并利用李的经典方法，得到相应的李点对称群。

Especially,occurrence of Lie group method s associated with wants of the dynamics,it can be used to discretion of the equations in spaces of curvature,and it cann t have the drift off the manifold of solution.

特别是所谓的的李群方法是在动力学问题的需求下诞生的，它能在弯曲的空间中进行离散化，根本不会出现'违约问题'。

By using the Lie group theory of differential geometry and Pontryagin's maximum principle, it is pointed out that the mobile CRS robot on surface is controllable, and the necessary conditions and the structure equations of extremal trajectories are proposed.

为了解决曲面上移动CRS机器人的路径规划问题，在曲面上建立了机器人的动态模型，利用微分几何的李群理论和庞特里亚金最大值原理，证明了曲面上CRS机器人是可控的，并给出了机器人的最小时间控制的必要条件和结构方程。

Seeking the solutions of NLEEs is now a very important subject in Nonlinear Science.The Lie group method is a Powerful tool to study the nonlinear differentical equations.

为了探索这些方程在应用中的价值，求解出各种非线性演化方程或方程组的精确解，是非线性科学中一个很重要的课题。

In this thesis, we apply the equations of motion of steady Mach reflections and the oblique shock theory to derive polynomial expressions of the forms of f(r,Mo,P1) of downstream sonic and strong/weak separating conditions of reflected shocks of perfect-gas steady Mach reflections. We then obtain polynomial expressions of the forms of f(r,M0) for the limiting Mach angle condition of the above two expressions.

本论文首先应用稳态马赫反射流场运动方程式及斜震波关系式，推导出理想气体稳态马赫反射流场之反射震波下游之音速条件与反射震波之强弱分界条件之曲线解公式，并应用该曲线解公式来推导反射震波俱音速性质於Mach angle条件及反射震波俱强弱分界性质於Mach angle条件之公式。

In the paper, with the characteristics of the line integral road, free surface condition and continuity condition, we gave the additional equations to close the equation group and overcame the difficulty, and successfully calculated and analysed the nonlinear ship wavemaking by the method.

文中根据自由面线积分路径的特点，自由面边界条件以及连续性条件来建立补充方程，而成功地解决这一难题，从而为非线性船波分析提供了一个有力的工具，并利用此方法分析非线性兴波取得了成功。

Fenton has given particular attention to the treatment of singularities in the governing integral equation involving the symmetric Green's function — a feature apparently not accounted for by Black — and he reduces the relevant line integral equations to forms possessing series which are rapidly convergent.

Fenton 已经把特别的注意给奇异的治疗在那统治包括对称的格林的功能的整体的相等-一个特征显然地不根据黑色解释-而且他让有关的线整体相等变成持有快速趋集于一点的系列的表格。

Based on the iteration theories of linear equations, the convergence property of CA-CMAC in incremental learning was analyzed.

然后提出了信任度矩阵和信任度关联矩阵的概念，并根据线性方程组迭代理论，证明了改进算法在增量学习时的收敛性，给出了收敛条件并进行了验证。

The preconditioned technique, which improves the convergence of linear equations, is developed.

提出从CG法中引入了预优处理方法，建立快速寻址方法，改善了解的收敛性。

Credit matrix and credit correlation matrix were presented. Based on the iteration theories of linear equations, the convergence property of CA-CMAC in incremental learning was analyzed.

然后提出了信任度矩阵和信任度关联矩阵的概念，并根据线性方程组迭代理论，证明了改进算法在增量学习时的收敛性，给出了收敛条件并进行了验证。

He studied their excrement for evidence of livestock hair.

他为家畜毛的证据研究他们的粪便。

Loneliness is not grounds for deportation, deportation of the people are not all lonely people.

寂寞也不是放逐的理由，放逐的人也并不都是孤独的人。