「正则这个词其实源自古典理论，指的是理论中一种特定的结构（称作辛结构(Symplectic structure)），这样的结构在量子理论中也被保留。这在保罗·狄拉克尝试建构量子场论时由他首先强调。
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Therefore, it is necessary to study numerical methods which preserve the symplectic structure of the Hamiltonian system.
因此，研究保持哈密尔顿系统的辛几何结构特征的数值方法是必然的。
Therefore, it is necessary to study numerical methods which preserve the energy conservation or the symplectic structure of the Hamiltonian system.
因此，研究保持哈密尔顿系统的能量守恒性及辛几何结构特征的数值方法是必然的。
Since the symplectic structure plays a universal role in all domains of physics. Consequently, nearly all conserved quantities can be obtained as moments of a suitable chosen dynamical group.
鉴于辛结构在物理学的各个领域都起着一个普遍法则的作用，所以几乎所有的守恒量都能作为一个适当选择的动力学群的矩而得到。
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