Results 251 to 260 of about 13,406 (301)

On-chip Cherenkov radiation tuning in 3.2-14 THz. [PDF]

Nat Commun
Li T, Liu F, Chen Y, Xiong X, Cui K, Feng X, Zhang W, Huang Y.   +7 more
europepmc   +1 more source

The C 0 -inextendibility of some spatially flat FLRW spacetimes. [PDF]

Gen Relativ Gravit
Ling E.
europepmc   +1 more source

Hyperbolic complex numbers and nonlinear sigma models

International Journal of Theoretical Physics, 1987
We show that the hyperbolic complex numbers or double numbers can be used to generate solutions of two-dimensional Minkowskian sigma models with values on noncompact manifolds.
Lambert, Dominique, TOMBAL,, Philippe
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Hyperbolic Congruent Numbers

Quaestiones Mathematicae, 2020
AbstractWe introduce the notion of hyperbolic congruent numbers which is a hyperbolic analogue of congruent numbers, and investigate the relations between congruent numbers and hyperbolic congruent...
Injo Hur, Jang Hyun Jo
openaire   +1 more source

n-Dimensional hyperbolic complex numbers

Advances in Applied Clifford Algebras, 1998
In this contribution is deduced a generalisation of the 2-dimensional complex number system. The construction of a hyperbolic basis is one of the main topics in this paper. By the aid of this basis the authors succeed in a nice description of an \(n\)-dimensional direct product ring of reals.
Fjelstad, Paul, Gal, Sorin G.
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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. S. BALANKIN, J. BORY-REYES, M. E. LUNA-ELIZARRARÁS, M. SHAPIRO   +3 more
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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
Daniel Alpay, Maria Elena Luna-Elizarrarás, Michael Shapiro, Daniele C. Struppa   +3 more
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$${f}$$ f -Algebra Structure on Hyperbolic Numbers

Advances in Applied Clifford Algebras, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gargoubi, Hichem, Kossentini, Sayed
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