Results 271 to 280 of about 1,694,233 (308)

CANTOR-TYPE SETS IN HYPERBOLIC NUMBERS

Fractals, 2016
The construction of the ternary Cantor set is generalized into the context of hyperbolic numbers. The partial order structure of hyperbolic numbers is revealed and the notion of hyperbolic interval is defined. This allows us to define a general framework of the fractal geometry on the hyperbolic plane.
A. Balankin   +3 more
semanticscholar   +3 more sources

Hyperbolic Numbers, Genetics and Musicology

, 2019
The article is devoted to applications of 2-dimensional hyperbolic numbers and their algebraic extensions in the form of 2n-dimensional hyperbolic numbers in bioinformatics, algebraic biology and musicology. These applications reveal hidden interconnections between structures of different biological phenomena.
S. Petoukhov
semanticscholar   +2 more sources

Bicomplex and Hyperbolic Numbers

, 2014
The main properties of bicomplex and hyperbolic numbers are considered, in particular, the three conjugations on them generate the corresponding moduli of a bicomplex number which are not real valued: two of them are complex valued and one is hyperbolic valued. The notion of a positive hyperbolic number allows to introduce a partial order on the set of
D. Alpay   +3 more
semanticscholar   +2 more sources

Complex and Hyperbolic Numbers

, 2013
The complex numbers were grudgingly accepted by Renaissance mathematicians because of their utility in solving the cubic equation.1 Whereas the complex numbers were discovered primarily for algebraic reasons, they take on geometric significance when they are used to name points in the plane.
G. Sobczyk
semanticscholar   +2 more sources

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