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Stability of the Cauchy Additive Functional Equation on Tangle Space and Applications
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-11-17
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We introduce real tangle and its operations, as a generalization of rational tangle and its operations, to enumerating tangles by using the calculus of continued fraction and moreover we study the analytical structure of tangles, knots, and links by using new operations between real tangles which need not have the topological structure.
As applications of the analytical structure, we prove the generalized Hyers-Ulam stability of the Cauchy additive functional equation fx⊕y=fx⊕fy in tangle space which is a set of real tangles with analytic structure and describe the DNA recombination as the action of some enzymes on tangle space.
American Psychological Association (APA)
Kim, Soo Hwan. 2016. Stability of the Cauchy Additive Functional Equation on Tangle Space and Applications. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1095830
Modern Language Association (MLA)
Kim, Soo Hwan. Stability of the Cauchy Additive Functional Equation on Tangle Space and Applications. Advances in Mathematical Physics No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1095830
American Medical Association (AMA)
Kim, Soo Hwan. Stability of the Cauchy Additive Functional Equation on Tangle Space and Applications. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1095830
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095830