DEVELOPMENTS OF THE OPTIMIZATION IN TERNARY CALCULUS
DOI:
https://doi.org/10.63456/aamc-2-1-84Keywords:
Optimization Techniques, Cubic EquationAbstract
The aim of the aforementioned research is to establish relations between integers n ∈ Z and vectors x ∈ R3 A ternary operation on a set S in mathematics is a function ω : S×S×S → S that maps each ordered triple (a,b,c) ∈ S3 to an element ω(a,b,c) ∈ S This describes a particular example of an n-ary operation for n=3,where the domain is the Cartesian product of three copies of S and the codomain is S itself[1]
References
[1] Noether, Emmy. "Invariant variation problems." Transport theory and statistical physics 1.3 (1971): 186-207.
[2] Pozinkevych, R. (2021). Ternary Mathematics and 3D Placement of Logical Elements Justification. Asian Journal of Research in Computer Science, 11(2), 11-15.
[3] Arnol’d, V. I. (Ed.). (2004). Arnold’s problems. Springer.
[4] Huss-Lederman, S., Jacobson, E. M., Tsao, A., Turnbull, T., & Johnson, J. R. (1996, November). Implementation of Strassen’s algorithm for matrix multiplication. In Proceedings of the 1996 ACM/IEEE Conference on Supercomputing (pp. 32-es).
[5] Boas, M. L. (2006). Mathematical methods in the physical sciences. John Wiley & Sons.
[6] Myers, D. (1997). An interpretive isomorphism between binary and ternary relations. In J. Mycielski, G. Rozenberg, & A. Salomaa (Eds.), Structures in Logic and Computer Science: A Selection of Essays in Honor of Andrzej Ehrenfeucht (pp. 289–302). Springer.
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Copyright (c) 2026 Ruslan Pozinkevych (Author)
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