Jacobi identity

例句：

1. 1. The Jacobi identity is a fundamental principle in quantum mechanics.
   雅可比身份是量子力学的一个基本原理。
2. 2. This equation holds the Jacobi identity, which states that the sum of the squares of the lengths of vectors equals the sum of the squares of their magnitudes.
   这个方程包含了雅可比身份，它表明向量长度平方之和等于它们模长平方之和。
3. 3. In this context, the Jacobi identity is used to prove that the sum of the squares of the lengths of vectors equals the sum of the squares of their magnitudes.
   在这个上下文中，雅可比身份被用来证明向量长度平方之和等于它们模长平方之和。