Let In() denote the number of involutions in the symmetric group Sn which avoid the permutation . We say that two permutations , Sj may be exchanged if for every n, k, and order...
Let (n) denote the sum of positive divisors of the natural number n. Such a number is said to be perfect if (n) = 2n. It is well known that a number is even and perfect if and only...
Let Fq be a finite field with q elements and p ∈ Fq[X, Y ]. In this paper we study properties of additive functions with respect to number systems which are defined in the rin...
Configurable software lets users customize applications in many ways, and is becoming increasingly prevalent. Regression testing is an important but expensive way to build confide...
Semantic completeness and syntax completeness are important characters of the general formal systems, two the completeness have different meaning for a formal system. This paper a...