holomorphic transformations

例句：

1. 1.In mathematics, holomorphic transformations are used to solve complex equations.
   在数学中，全纯变换被用来解复杂的方程。
2. 2.The holomorphic transformations were crucial in the development of new materials.
   全纯变换在新材料的发展中起到了关键作用。
3. 3.The holomorphic transformations have been applied to various fields, including finance and economics.
   全纯变换已经被应用到各个领域，包括金融和经济。