【摘要】 集合的对称差是集合的基本运算之一，它在测度论及其应用中扮演着一个重要的角色．本文深入地对集合的对称差进行讨论，研究了它的性质，通过集合的不交分解揭示了若干个集合的对称差的本质，给出了关于集合的对称差的测度计算公式．更多还原

【Abstract】 The symmetric difference of the sets is one of the basic operation of the sets, and it plaies an important role in measure theory and its applications. In the present paper, the Properties of the symmetric difference of the sets are systematically researched, the essence of the symmetric difference of the several sets is revealed in terms of disjoint resolution of the set, the formula of the measure calculation with respect to the symmetric difference of the several sets is given.更多还原