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
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