The generalized golden proportions, a new theory of real numbers, and ternary mirror-symmetrical arithmetic
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DOI: 10.1016/j.chaos.2006.01.028
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References listed on IDEAS
- Stakhov, Alexey & Rozin, Boris, 2006. "The continuous functions for the Fibonacci and Lucas p-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 1014-1025.
- Stakhov, Alexey & Rozin, Boris, 2005. "The Golden Shofar," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 677-684.
- El Naschie, M.S., 2006. "Elementary number theory in superstrings, loop quantum mechanics, twistors and E-infinity high energy physics," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 297-330.
- Stakhov, A.P., 2005. "The Generalized Principle of the Golden Section and its applications in mathematics, science, and engineering," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 263-289.
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Cited by:
- Chi Hongmei, 2013. "Generation of parallel modified Kronecker sequences," Monte Carlo Methods and Applications, De Gruyter, vol. 19(4), pages 261-271, December.
- Cristina E. Hretcanu & Adara M. Blaga, 2021. "Types of Submanifolds in Metallic Riemannian Manifolds: A Short Survey," Mathematics, MDPI, vol. 9(19), pages 1-22, October.
- Falcon, Sergio & Plaza, Ángel, 2009. "k-Fibonacci sequences modulo m," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 497-504.
- Mohammad Nazrul Islam Khan & Uday Chand De & Teg Alam, 2023. "Characterizations of the Frame Bundle Admitting Metallic Structures on Almost Quadratic ϕ -Manifolds," Mathematics, MDPI, vol. 11(14), pages 1-12, July.
- Basu, Manjusri & Prasad, Bandhu, 2009. "Coding theory on the m-extension of the Fibonacci p-numbers," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2522-2530.
- Falcón, Sergio & Plaza, Ángel, 2009. "The metallic ratios as limits of complex valued transformations," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 1-13.
- Khan, Mohammad Nazrul Islam, 2021. "Novel theorems for the frame bundle endowed with metallic structures on an almost contact metric manifold," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
- Özkan, Engin & Kuloǧlu, Bahar & Peters, James F., 2021. "K-Narayana sequence self-Similarity. flip graph views of k-Narayana self-Similarity," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
- Cristina E. Hretcanu & Mircea Crasmareanu, 2023. "The ( α , p )-Golden Metric Manifolds and Their Submanifolds," Mathematics, MDPI, vol. 11(14), pages 1-13, July.
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