This paper proves (i) in any (n − 1)-dimensional linear subspace, 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.
CITATION STYLE
Zheng, Y., & Zhang, X. M. (2000). Strong linear dependence and unbiased distribution of non-propagative vectors. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1758, pp. 92–105). Springer Verlag. https://doi.org/10.1007/3-540-46513-8_7
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