adjoint vector space

例句：

1. 1. In thestudy of machine learning, understanding the structure of adjoint vector spaces is crucial for building effective models.
   在机器学习研究中，理解邻接向量空间的结构对于构建有效的模型至关重要。
2. 2. The algorithm efficiently solves the problem by exploiting the properties of adjoint vector spaces.
   该算法通过利用邻接向量空间的特性高效地解决了问题。
3. 3. This method has been successfully applied in various fields, including computer graphics and image processing, where it helps to optimize the design of adjoint vector spaces.
   这种方法已被成功应用于计算机图形学和图像处理等领域，有助于优化邻接向量空间的设计。