Results 21 to 30 of about 8,270,809 (301)

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
doaj   +1 more source

The Horadam Hybrid Numbers

Discussiones Mathematicae - General Algebra and Applications, 2018
In this paper we introduce the Horadam hybrid numbers and give some their properties: Binet formula, character and generating function.
Szynal-Liana Anetta
doaj   +1 more source

On complex Leonardo numbers

, 2022
In this study, we introduce the complex Leonardo numbers and give some of their properties including Binet formula, generating function, Cassini and d'Ocagne's identities.
Karatas, Adnan
core   +1 more source

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

Pythagoras, 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, Sam Ramaila, Mdutshekelwa Ndlovu   +2 more
doaj   +1 more source

The theta number of simplicial complexes [PDF]

Israel Journal of Mathematics, 2019
We introduce a generalization of the celebrated Lovász theta number of a graph to simplicial complexes of arbitrary dimension. Our generalization takes advantage of real simplicial cohomology theory, in particular combinatorial Laplacians, and provides a semidefinite programming upper bound of the independence number of a simplicial complex.
Christine Bachoc, Anna Gundert, Alberto Passuello   +2 more
openaire   +2 more sources

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

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, Begonya Garcia-Zapirain, Winston Percybrooks   +2 more
doaj   +1 more source

Complexity of Natural Numbers

, 2021
This is the English version of the paper: "Complejidad de los números naturales", Gaceta de la Real Sociedad Matemática Española 3 (2000) 230--250. In this paper, several conjectures about the complexity of natural numbers are proposed. In a recent joint paper with H.
openaire   +3 more sources

REAL PROJECTIVE SPACE [PDF]

Matrix Science Mathematic
This article will begin with the claim that Hamilton spent a great deal of time trying to figure out the three-dimensional complex numbers. He was never able to accomplish that.
MSc. Ruslan Pozinkevycha
doaj   +1 more source

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, Iqbal Ahmed Musa, Suliman Sheen   +2 more
doaj   +1 more source

On the complexity of the circular chromatic number [PDF]

Journal of Graph Theory, 2004
AbstractCircular chromatic number, χcis a natural generalization of chromatic number. It is known that it isNP‐hard to determine whether or not an arbitrary graphGsatisfies χ(G)=χc(G). In this paper we prove that this problem isNP‐hard even if the chromatic number of the graph is known. This answers a question of Xuding Zhu.
Hamed Hatami, Ruzbeh Tusserkani
openaire   +5 more sources