Results 11 to 20 of about 1,570,755 (283)

Introduction to Third-Order Jacobsthal and Modified Third-Order Jacobsthal Hybrinomials

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
The hybrid numbers are generalization of complex, hyperbolic and dual numbers. In this paper, we introduce and study the third-order Jacobsthal and modified third-order Jacobsthal hybrinomials, i.e., polynomials, which are a generalization of the ...
Cerda-Morales Gamaliel
doaj   +1 more source

On Hyperbolic Complex Numbers

open access: yesApplied Sciences, 2022
For dimensions two, three and four, we derive hyperbolic complex algebraic structures on the basis of suitably defined vector products and powers which allow in a standard way a series definitions of the hyperbolic vector exponential function.
Wolf-Dieter Richter
doaj   +1 more source

On the Trigonometric and p-Trigonometric Functions of Elliptical Complex Variables

open access: yesCommunications in Advanced Mathematical Sciences, 2020
In the early 2000s, the geometry of a one-parameter family of generalized complex number systems was studied (Math. Mag. 77(2)(2004)). This family is denoted by Cp.
Kahraman Esen Özen
doaj   +1 more source

On known and less known relations of Leonhard Euler with Poland [PDF]

open access: yesStudia Historiae Scientiarum, 2016
In this work we focus on research contacts of Leonhard Euler with Polish scientists of his era, mainly with those from the city of Gdańsk (then Gedanum, Danzig). L.
Roman Sznajder
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

Drawing with complex numbers [PDF]

open access: yesThe Mathematical Intelligencer, 2000
It is not commonly realized that the algebra of complex numbers can be used in an elegant way to represent the images of ordinary 3-dimensional figures, orthographically projected to the plane. We describe these ideas here, both using simple geometry and setting them in a broader context.
Eastwood, Michael George, Penrose, R.
openaire   +2 more sources

On a generalization of dual-generalized complex Fibonacci quaternions [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2023
In this study, we introduce a new class of generalized quaternions whose components are dual-generalized complex Horadam numbers. We investigate some algebraic properties of them.
Elif Tan, Umut Öcal
doaj   +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

Developing undergraduate engineering mathematics students’ conceptual and procedural knowledge of complex numbers using GeoGebra

open access: yesPythagoras, 2023
This study explored the utilisation of GeoGebra as a modelling tool to develop undergraduate engineering mathematics students’ conceptual and procedural knowledge of complex numbers.
Philemon M. Seloane   +2 more
doaj   +1 more source

Realism, irrationality, and spinor spaces

open access: yesZagadnienia Filozoficzne w Nauce, 2023
Mathematics, as Eugene Wigner noted, is unreasonably effective in physics. The argument of this paper is that the disproportionate attention that philosophers have paid to discrete structures such as the natural numbers, for which a nominalist ...
Adrian Heathcote
doaj   +1 more source

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