多元数量值函数积分中的轮换对称性

Rotation symmetry in integrals of multiple numerical function

摘要: 讨论了多元数量值函数积分中轮换对称性的一般原理，明确了轮换对称性成立的条件，并据此给出了二重积分、三重积分、对弧长的曲线积分和对面积的曲面积分的轮换对称性定理，最后给出在这些积分中利用轮换对称性简化问题讨论的若干实例.

Abstract: The general principles of rotation symmetry in number of m ultiple function integrals are discussed,and points out the basic conditions of rotation symmetry,and according to its rotation symmetric theorem are given in double integral,triple integral,curvilinear integral and surface integral.Finally,Some examples about application theorem to simplify the problem are given.