Before revision: Let \alpha=\{a_1,a_2,a_3,...,a_n\} be a set of elements, \delta < n be a positive integer, and \Gamma: \alpha \to \{0, 1, 2, ..., n\} be a total mapping.
After revision: Let \alpha=\{a_1,a_2,a_3,...,a_n\} be a set of elements, \delta < n be a non-negative integer, and \Gamma: \alpha \to \{0, 1, 2, ..., n\} be a total mapping.