摘要
定义了与函数相关的Vandermonde行列式,从而得到了多重积分∫_Eφ^(n)(∑_(i=0)~na_ix_i)dx_1dx_2…dx_n的一般计算公式,其中E={(x_1,x_2,…,x_n)|∑_(i=1)~na_ix_i≤1,x_i≥0,i=1,2,…,n},x_0=1-∑_(i=1)~nx_i,并给出了若干特例。
The Vandermondeian determinant of n real number are generalized, and the general computational formulas of the multiple integrals are derived, where, aixi< 1 ,xi>0,i = 1,2...,n) ,x0= 1- As its application, some computational formulas of the special multi-lpe formulas integrals are derived.
