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Integral Value Transformations: A Class of Affine Discrete Dynamical Systems and an Application

Integral Value Transformations: A Class of Affine Discrete Dynamical Systems and an Application

In this paper, the notion of Integral Value Transformations (IVTs), a class of Discrete Dynamical Maps has been introduced. Then notion of Affine Discrete Dynamical System (ADDS) in the light of IVTs is defined and some rudimentary mathematical properties of the system are depicted. Collatz Conjecture is one of the …