Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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 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.

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The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
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The categories of this paper are: physics
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an