积分的轮换不变性在曲面积分计算中的应用

Application of the integral rotation invariance in the calculation of surface integral

提出了积分区域关于变量的轮换对称性的定义,讨论了曲面积分关于变量的轮换不变性,给出了具体的性质,并通过具体例子说明了轮换对称性在曲面积分计算中的作用.

Proposed the definition of the translatable symmetry of variable about the integral area, discussed the translatable symmetry of variable of multivariate function integral, and proposed the specific property. Some examples shown that the rotation invariant plays a role in the calculation of surface integral.