Now, demanding that this Lagrangian should have local O(n)-invariance requires that the G matrices (which were earlier constant) should be allowed to become functions of the space-time coordinates x.
现在，要求这个拉格朗日量必须有局域O(n)-不变性要求G矩阵（原来是常数）必须允许成为时空坐标x的函数。