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

Details 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

2011-09-21

arxiv.org/abs/1110.0724v3

Computer Science

Discrete Mathematics

Scientific paper

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 most enigmatic problems in 20th Century. The Conjecture was posed by German Mathematician L. Collatz in 1937. There are much advancement in generalizing and defining analogous conjectures, but even to the date, there is no fruitful result for the advancement for the settlement of the conjecture. We have made an effort to make a Collatz type problem in the domain of IVTs and we have been able to solve the problem in 2011 [1]. Here mainly, we have focused and inquired on Collatz-like ADDS. Finally, we have designed the Optimal Distributed and Parallel Environment (ODPE) in the light of ADDS.

Affiliated with

Also associated with

No associations

Rating

Integral Value Transformations: A Class of Affine Discrete Dynamical Systems and an Application does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Integral Value Transformations: A Class of Affine Discrete Dynamical Systems and an Application, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integral Value Transformations: A Class of Affine Discrete Dynamical Systems and an Application will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-258371