Pascal三角形矩阵的逆及一个可加集函数关系式

The Inverse Matrix of Pascal's Triangular Matrix and an Expression of Additive Set Function

证明了一个组合恒等式，并由此求出了Ｐａｓｃａｌ三角形矩阵的逆。证明了一个有关集合交的可加集函数关系式，并结合上述结果证明了测度论中的一个重要的可加集函数关系式。

A combinatorial identity is proved and the inverse matrix of Pascal's triangular matrix is obtained.An expression of additive set function is given,and another important related expression of additive set function in measure theory is also presented.