holomorphic mapping

例句：

1. 1. The study of holomorphic mapping is crucial for understanding the behavior of complex systems.
   研究同调映射对于理解复杂系统的行为至关重要。
2. 2.In mathematics, a holomorphic mapping is a function that maps a domain into a codomain, such as a circle into the complex plane.
   在数学中，同调映射是一个将域映射到共域的函数，例如圆映射到复平面。
3. 3. The holomorphic mapping technique has been widely used in various fields, such as engineering and physics.
   同调映射技术在工程和物理学等多个领域得到了广泛应用。