A Study on Dual-Generalized Complex and Hyperbolic-Generalized Complex Numbers
, 2020 This work is intended to introduce the theories of dual-generalized complex and hyperbolicgeneralized complex numbers. The algebraic properties of these numbers are taken into consideration.
N. Gürses, G. Y. Şentürk, S. Yüce
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Objects of categories as complex numbers [PDF]
Advances in Mathematics, 2004 In many everyday categories (sets, spaces, modules, ...) objects can be both added and multiplied. The arithmetic of such objects is a challenge because there is usually no subtraction. We prove a family of cases of the following principle: if an arithmetic statement about the objects can be proved by pretending that they are complex numbers, then ...
Marcelo Fiore, Tom Leinster
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Lelong numbers, complex singularity exponents, and Siu's semicontinuity theorem [PDF]
, 2016 In this note, we present a relationship between Lelong numbers and complex singularity exponents. As an application, we obtain a new proof of Siu's semicontinuity theorem for Lelong numbers.Comment: 5 pages, revised ...
Guan, Qi'an, Zhou, Xiangyu
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Frieze patterns over integers and other subsets of the complex numbers [PDF]
Journal of combinatorial algebra, 2017 We study (tame) frieze patterns over subsets of the complex numbers, with particular emphasis on the corresponding quiddity cycles. We provide new general transformations for quiddity cycles of frieze patterns.
M. Cuntz, T. Holm
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Parameters of the two generator discrete elementary groups : a thesis presented in partial fulfillment of the requirements for the degree of Master of Science in Mathematics at Massey University, Albany, New Zealand [PDF]
, 2006 Let f, g be elements of M, the group of Möbius transformations of the extended complex plane Ĉ = C U ∞. We identify each element of M with a 2 × 2 complex matrix with determinant 1. The three complex numbers, β(f) = tr2 (f) - 4,β(g) = tr2 (g) - 4,γ(
Zhang, Qingxiang
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Convert between neutrosophic complex numbers forms [PDF]
Neutrosophic Sets and Systems, 2023 Complex numbers have been studied in previous papers, but the papers did not deal with the conversion from algebraic form of a neutrosophic complex number form to exponential or trigonometric form and vice versa, and this prompted us to search for a ...
Yaser Ahmad Alhasan +2 more
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Topology and Metricity of the Complex Plane
Davao Research Journal, 2002 The equinumerosity of the set of complex numbers and a set of ordered pairs of real numbers is used to show the topology of the complex plane. Likewise, the metricity of the complex plane is proved with the aid of the metricity of the plane R.
Ryan Calungsod, Marleonie Bauyot
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Applications of neutrosophic complex numbers in triangles [PDF]
Neutrosophic Sets and Systems, 2023 It may be difficult for researchers to memorize or remember the trigonometric ratios of any neutrosophic angle, and this is what prompted us to activate the role of the neutrosophic complex numbers for that.
Yaser Ahmad Alhasan +2 more
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Investigating generalized quaternions with dual-generalized complex numbers [PDF]
Mathematica Bohemica, 2023 We aim to introduce generalized quaternions with dual-generalized complex number coefficients for all real values $\alpha$, $\beta$ and $\mathfrak{p}$.
Nurten Gürses +2 more
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Diagnostics, 2022 Our aim is to contribute to the classification of anomalous patterns in biosignals using this novel approach. We specifically focus on melanoma and heart murmurs.
Mario Jojoa +2 more
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