查询词典 symmetry

By symmetry method, we successful solved (1) the problem of the half infinite plane received the concentrated strength in vertical direction ;(2) the problem of the wedge received the strength in its top.

用对称方法成功求解了(1)半无限平面受有法向集中力作用问题；(2)楔形体在楔顶受力问题。

Using this method,we discussed for generalized Burger equation with variable coefficients and linear danping,obtained its symmetry group,simliar reduced equations,infinitesimal generator and Lie algebras;In chapter 6,using the Exp-function method,the generalized solutions of combined KdV-mKdV equation with variable coefficients are discussed.

首先介绍了Lie群分析法的基本思想，其次用Lie群分析法得到了带线性阻尼项的变系数广义Burgers方程的无穷小变换、无穷小算子的李代数结构，并具体求出了带线性阻尼项的变系数广义Burger方程的群不变解和约化方程。

In chapter 1, as a preparative knowledge, the main results about symmetry theoryand Wus method are introduced, in addition some fundamental definitions, such as trans-formation group, infinitesimal operator, prolongation, first integral, infinitesimal criterionfbr invariance of an ODE, characteristic set are recalled.

第一章中作为预备知识简单介绍了对称理论和吴方法，并给出了一些基本概念和理论，如变换群、无穷小算子、算子延拓、首次积分、微分方程在对称下不变的判别准则和微分特征列集算法。

At first,the Noether symmetry and Noether conserved quantity under special infinitesimal transformations are.

自1918年Noether首次揭示对称性与守恒量之间的潜在关系以来，Noether对称性理论已取得重大进展[1～4]。20世纪70年代末发展起来的Lie对称性理论也取得重要进展[3～5]。

Discrete mechanics,dynamical equation,infinitesimal transformation group,symmetry,conserved quantity

中文关键词离散力学，动力学方程，无限小变换群，对称性，守恒量

There exists a dual symmetry between the equations of motion and the Maurer-Cartan equations of the type IIB superstring on AdS〓 S〓. We generalize the finite dual transformation to the infinitesimal dual transformation by the twisted dual.

根据Euler-Lagrange运动方程与Maurer-Cartan方程的扭曲对偶变换，我们可得到AdS〓×S〓中IIB超弦的Lax平联络及其相应的可积的相容条件，由此可以说明体系是一个可积系统。

He was not insensible to her rosy symmetry.

他不可能对她那艳丽的面孔视若无睹。

Principle of transformer fast direction protection based on transformation of the instaneous value symmetry component.

基于瞬时值对称分量变换的变压器快速方向保护。

PartⅡis devoted to studying integrability of nonlinear DDEs from the view of conservation law starting from scaling symmetry.

第二部分研究非线性DDE守恒律的待定系数构造算法。

Using this formula ,we get several important inference and prove that when the curve and surface integral of the first kind's integrand is odd function or even function and the integral curve or surface is symmetry.

并且利用这个公式，推导出了当第一型曲线积分或曲面积分的被积函数为奇函数或偶函数，积分曲线或曲面是对称的时的几个重要的推论及证明。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。