locally compact division algebra

例句：

1. 1.This locally compact division algebra is a key component of the algorithm.
   这个局部紧致分形代数是算法的关键组成部分。
2. 2.The local compactness of the data ensures that the algorithm converges quickly.
   数据的局部紧致性确保了算法能够快速收敛。
3. 3.The locally compact division algebra has been used to solve complex mathematical problems.
   局部紧致分形代数已经被用来解决复杂的数学问题。