sum_simplex
returns the sum on k_1+...+k_p=K, k_i>0 of the products
of NN[i,k_i].
sum_simplex(NN, K, p)
double : the result of the sum.
a matrix with p rows and K column. Each row contains the number of partition in 1<=k<=K groups for one of the p children of a given node
an integer. The number of groups wanted.
an integer. The number of daughters of a node.
This function uses xsimplex
to perform the product of NN[i,k_i] for
all combination of k_i such that k_1+...+k_p=K, k_i>0, using function
prod_index
. Then sum all the products.