作为应用，我们证明了这两个新的可微性概念分别给出了导映象的连续性和均匀连续性的特征刻划。
As to their applications, the continuity and uniformly continuity of derivative mapping are characterized by the two new notions of differentiability.
建立了以有限群的极大子群的指数复合刻划可解性的两个新定理。
Two new theorems on the solvability of finite groups are proved by means of index complex of maximal subgroups.
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