Results 11 to 20 of about 12,500,740 (339)

On Complex Numbers in Higher Dimensions

open access: yesAxioms, 2022
The geometric approach to generalized complex and three-dimensional hyper-complex numbers and more general algebraic structures being based upon a general vector space structure and a geometric multiplication rule which was only recently developed is ...
Wolf-Dieter Richter
doaj   +2 more sources

Continued fraction expansions for complex numbers - a general approach [PDF]

open access: yes, 2015
We introduce here a general framework for studying continued fraction expansions for complex numbers and establish some results on the convergence of the corresponding sequence of convergents. For continued fraction expansions with partial quotients in a
Dani, S. G.
core   +2 more sources

De-Moivre and Euler Formulae for Dual-Complex Numbers

open access: yesUniversal Journal of Mathematics and Applications, 2019
In this study, we generalize the well-known formulae of De-Moivre and Euler of complex numbers to dual-complex numbers. Furthermore, we investigate the roots and powers of a dual-complex number by using these formulae. Consequently, we give some examples
Mehmet Ali Güngör, Ömer Tetik
doaj   +2 more sources

Towards quantized complex numbers: $q$-deformed Gaussian integers and the Picard group [PDF]

open access: yesOpen Communications in Nonlinear Mathematical Physics, 2021
This work is a first step towards a theory of "$q$-deformed complex numbers". Assuming the invariance of the $q$-deformation under the action of the modular group I prove the existence and uniqueness of the operator of translations by~$i$ compatible with
V. Ovsienko
semanticscholar   +1 more source

detectIR: a novel program for detecting perfect and imperfect inverted repeats using complex numbers and vector calculation. [PDF]

open access: yesPLoS One, 2014
Inverted repeats are present in abundance in both prokaryotic and eukaryotic genomes and can form DNA secondary structures – hairpins and cruciforms that are involved in many important biological processes. Bioinformatics tools for efficient and accurate
Ye C, Ji G, Li L, Liang C.
europepmc   +2 more sources

Three-Complex Numbers and Related Algebraic Structures

open access: yesSymmetry, 2021
Three-complex numbers are introduced for using a geometric vector product in the three-dimensional Euclidean vector space R3 and proving its equivalence with a spherical coordinate product.
W. Richter
semanticscholar   +1 more source

Concepts of Neutrosophic Complex Numbers

open access: yesInternational journal of neutrosophic science, 2021
In this paper, concept of neutrosophic complex numbers and its properties were presented inculding the conjugate of neutrosophic complex number, division of neutrosophic complex numbers, the inverted neutrosophic complex number and the absolute value of ...
Y. A. Alhasan
semanticscholar   +1 more source

Global Registration of Terrestrial Laser Scanner Point Clouds Using Plane-to-Plane Correspondences

open access: yesRemote Sensing, 2020
Registration of point clouds is a central problem in many mapping and monitoring applications, such as outdoor and indoor mapping, high-speed railway track inspection, heritage documentation, building information modeling, and others.
Nadisson Luis Pavan   +2 more
doaj   +1 more source

A Fair Performance Comparison between Complex-Valued and Real-Valued Neural Networks for Disease Detection

open access: yesDiagnostics, 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
doaj   +1 more source

On lp-Complex Numbers

open access: yesSymmetry, 2020
Dispensing with the common property of distributivity and replacing classical trigonometric functions with their l p -counterparts in Euler’s trigonometric representation of complex numbers, classes of l p -complex numbers are introduced and some of ...
W. Richter
semanticscholar   +1 more source

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