Jacobian determinant solution

例句：

1. 1. The Jacobian determinant solution is a key to solving complex systems.
   雅可比行列式解是解决复杂系统的关键。
2. 2. In mathematics, the Jacobian determinant solution is used to find the critical points of functions.
   在数学中，雅可比行列式解被用来找到函数的临界点。
3. 3. The Jacobian determinant solution is crucial for understanding the behavior of dynamical systems.
   雅可比行列式解对于理解动态系统的行为至关重要。