Strong Linear Dependence and Unbiased Distribution of Non-propagative Vectors

This paper proves (i) in any (n − 1)-dimensional linear sub-space, the non-propagative vectors of a function with n variables are linearly dependent, (ii) for this function, there exists a non-propagative vector in any (n − 2)-dimensional linear subspace and there exist three non-propagative vectors in any (n − 1)-dimensional linear subspace, except for those functions whose nonlinearity takes special values.