infinitesimal transformation
英 [ˌɪnfɪnɪˈtesɪml ˌtrænsfəˈmeɪʃn]
美 [ˌɪnfɪnɪˈtesɪml ˌtrænsfərˈmeɪʃn]
网络 无穷小变换
双语例句
- The change of Lagrange's function and constraint equations of non-linear non-holonomic system in non-inertial system under the infinitesimal transformations of the time-space points leads to general transformation result.
加速参考系中的非线性完整系统，在空时坐标作无穷小变换下引起拉格朗日函数和约束方程的变化，导致了普遍的变换结果； - Based on the least square principle, using the infinitesimal transformation method, the error model of this manufacturing method is studied on the surface's local structure. The error of the model derived from one-order infinitesimal analysis is also studied.
以曲面评价的最小二乘准则为基础，用小误差变换方法，从曲面的局部构造出发建立此种加工方法的误差模型，分析了由小误差假设所带来的误差； - Basing on the invariability of generalized Hamilton action under the condition of infinitesimal transformation, the basic principle of the variation of Noether symmetry of holonomic and nonholomic system.
基于广义Hamilton作用量在无限小变换下的不变性，得到了完整系统和非完整系统广义Hamilton作用量变分的基本原理； - In this paper, all symmetries of the generalized kdv equation are obtained by means of infinitesimal generator of Lie group of transformation. Ordinary differential equations are derived by use of the symmetries.
本文用Lie变换群的无穷小方法，求出了广义kdv方程的全部对称，并用特殊的对称将其化为常微分方程。 - This paper, on the viewpoint of uniformity of space-time, deals with the normal homogeneous Lorentz transformation group, and derives out the form of wave function of relativistic free particle under normal homogeneous Lorentz transformation by applying infinitesimal operator relative to the transformation group.
本文从时空均匀性出发，讨论了正齐次Lorentz变换群，利用相应于该变换群的无穷小算符，导出相对论性自由粒子波函数在正齐次Lorentz变换下的表现形式。 - Noether's theorem and its inverse one of holonomic and nonholonomic non-conservative sytems are presented, respectively, according to the transformation properties of active integral of general dynamical systems in phase space under the infinitesimal transformation.
根据一般动力学系统在相空间的作用积分在无穷小群变换下的变换性质，分别建立起完整和非完整非保守系统的Noether定理和逆定理。 - Two new types of construction of the first integral for holonomic non-conservative systems are presented, using respectively the continuous infinitesimal transformation and the variational principles of mechanical systems.
应用连续无穷小变换结合力学变分原理给出完整非保守系统首次积分的两个新型构造方法。一是基于相空间的首次积分构造法，二是基于位形空间的较简便的首次积分构造法。