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Volume 32, Number 2, pages 149-152 (2021)
https://doi.org/10.26830/symmetry_2021_2_149
ON SYMMETRY IN MATHEMATICAL IDENTITIES
Valentin Bakoev*
* Faculty of Mathematics and Informatics, “St. Cyril and St. Methodius” University, Veliko Tarnovo, Bulgaria
E-mail: v.bakoev@ts.uni-vt.bg
ORCID: 0000-0003-2503-5325
Abstract: The identities are important equalities in mathematics and other natural sciences. The records of some identities are symmetric, they are palindromes. But all of them contain an implicit symmetry in their semantics. Here we consider the symmetries of these two types.
Keywords: mathematical identity, semantics, symmetry, palindrome.
References:
Bakoev, V. (2012) One more way for counting monotone Boolean functions. Proc. of the XIII International Workshop on Algebraic and Combinatorial Coding Theory (ACCT), 15-21 June, 2012, Pomorie, Bulgaria, 47-52. http://www.math.bas.bg/moiuser/~ACCT2012/b8.pdf
Bakoev, V. (2017) Fast bitwise implementation of the algebraic normal form transform. Serdica Journal of Computing, 11, 1, 45-57. ISSN (online): 1314-7897, ISSN (print): 1312-6555.
Koshy, T. (2003) Discrete Mathematics with Applications. Academic Press, 1042 pp.
Rosen, K.H. (2012) Discrete Mathematics and its Applications. 7th ed., McGraw-Hill, 1071 pp.
Stein, Cl., Drysdale, R., Bogart, K. (2011) Discrete Mathematics for Computer Scientists, Addison-Wesley, 526 pp.
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