Collatz function like integral value transformations

Joint Authors

Sarif Hasan, Sk.
Choudhury, Pabitra Pal
Singh, Rajneesh
Das, Snigdha

Source

Alexandria Journal of Mathematics

Issue

Vol. 1, Issue 2 (30 Nov. 2010), pp.30-35, 6 p.

Publisher

Amgad Society for Developing the Community and Protecting the Environment

Publication Date

2010-11-30

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

A class of transformations named as Integral Value Transformation (IVT) on Mq, where Mq denotes the set of natural numbers along with zero, is introduced.

Using IVT an iterative scheme is defined.

One of the famous mathematical conjectures in discrete dynamical system is Collatz Conjecture.

In this paper, a Collatz function like transformation I VT^' ^ 1 is introduced and we have explored the beauty like the Collatz function.

We have proved that the iterative scheme on using the I VT ^ ^ converges to zero where as iterative scheme on Collatz function is still a conjecture till today.

American Psychological Association (APA)

Sarif Hasan, Sk.& Choudhury, Pabitra Pal& Singh, Rajneesh& Das, Snigdha& Nayak, Birendra Kumar. 2010. Collatz function like integral value transformations. Alexandria Journal of Mathematics،Vol. 1, no. 2, pp.30-35.
https://search.emarefa.net/detail/BIM-761693

Modern Language Association (MLA)

Sarif Hasan, Sk.…[et al.]. Collatz function like integral value transformations. Alexandria Journal of Mathematics Vol. 1, no. 2 (Nov. 2010), pp.30-35.
https://search.emarefa.net/detail/BIM-761693

American Medical Association (AMA)

Sarif Hasan, Sk.& Choudhury, Pabitra Pal& Singh, Rajneesh& Das, Snigdha& Nayak, Birendra Kumar. Collatz function like integral value transformations. Alexandria Journal of Mathematics. 2010. Vol. 1, no. 2, pp.30-35.
https://search.emarefa.net/detail/BIM-761693

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 35

Record ID

BIM-761693