The paper studies the form invariance of differential equations of motion for holonomic systems in terms of quasi coordinates, under the infinitesimal transformations of groups.
研究完整力学系统准坐标表示的运动微分方程在群的无限小变换下的形式不变性。
This paper discusses the unified symmetry of a holonomic mechanical system in terms of quasi-coordinates under special infinitesimal transformations in which time is not varied.
研究准坐标下完整力学系统在时间不变的无限小变换下的统一对称性。
According to the invariance theory of partial differential equations under the infinitesimal transformations, the symmetries and conserved quantities of classical fields are studied.
根据偏微分方程在无穷小变换下的不变性理论，研究经典场的对称性质和守恒量。
Lie's Theory Within the framework of Lie' Theory, we associate infinitesimal transformations making up a Lie algebra with finite operations which are obtained from the previous ones by exponentiation.
另外，群体特性通过微分运算及其逆运算所得到的李代数的代数结构而得到了解释。
Lie's Theory Within the framework of Lie' Theory, we associate infinitesimal transformations making up a Lie algebra with finite operations which are obtained from the previous ones by exponentiation.
另外，群体特性通过微分运算及其逆运算所得到的李代数的代数结构而得到了解释。
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