holomorphic vector field

例句：

1. 1.In mathematics, a holomorphic vector field is a vector field whose gradient is everywhere zero.
   在数学中，全纯向量场是指梯度处处为零的向量场。
2. 2.This equation represents a holomorphic vector field in the plane, which can be used to solve various problems in physics and engineering.
   这个方程代表了一个平面上的全纯向量场，可以用来解决物理学和工程学中的许多问题。
3. 3. The study of holomorphic vector fields has important applications in quantum mechanics and field theory.
   研究全纯向量场在量子力学和场论中有重要的应用。