Results 11 to 20 of about 245 (169)

Clifford Geometric Algebra-Based Approach for 3D Modeling of Agricultural Images Acquired by UAVs

open access: yesIEEE Access, 2020
Three-dimensional image modeling is essential in many scientific disciplines, including computer vision and precision agriculture. So far, various methods of creating three-dimensional (3D) models have been considered.
Prince Waqas Khan   +2 more
doaj   +3 more sources

Does Geometric Algebra Provide a Loophole to Bell’s Theorem? [PDF]

open access: yesEntropy, 2019
In 2007, and in a series of later papers, Joy Christian claimed to refute Bell’s theorem, presenting an alleged local realistic model of the singlet correlations using techniques from geometric algebra (GA).
Richard David Gill
doaj   +2 more sources

Development of the Method of Averaging in Clifford Geometric Algebras

open access: yesMathematics, 2023
We develop the method of averaging in Clifford (geometric) algebras suggested by the author in previous papers. We consider operators constructed using two different sets of anticommuting elements of real or complexified Clifford algebras.
Dmitry Shirokov
doaj   +3 more sources

The Essentials of Clifford Algebras with Maple Programming

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021
Clifford algebra (geometric algebra) which has many applications in physics, robotics, CAD (Computer-Aided Design) /CAM (Computer-Aided Manufacture), computer graphics, image processing, etc. is one of the important subjects in mathematics. In this paper,
Mutlu Akar
doaj   +1 more source

Geometric Clifford Algebra Networks

open access: yesCoRR, 2023
We propose Geometric Clifford Algebra Networks (GCANs) for modeling dynamical systems. GCANs are based on symmetry group transformations using geometric (Clifford) algebras. We first review the quintessence of modern (plane-based) geometric algebra, which builds on isometries encoded as elements of the $\mathrm{Pin}(p,q,r)$ group.
David Ruhe   +4 more
openaire   +3 more sources

Clifford Fuzzy Support Vector Machine for Regression and Its Application in Electric Load Forecasting of Energy System

open access: yesFrontiers in Energy Research, 2021
Electric load forecasting is a prominent topic in energy research. Support vector regression (SVR) has extensively and successfully achieved good performance in electric load forecasting.
Rui Wang   +3 more
doaj   +1 more source

Geometric Algebra Applied to Multiphase Electrical Circuits in Mixed Time–Frequency Domain by Means of Hypercomplex Hilbert Transform

open access: yesMathematics, 2022
In this paper, power flows in electrical circuits are modelled in a mixed time-frequency domain by using geometric algebra and the Hilbert transform for the first time.
Francisco G. Montoya   +4 more
doaj   +1 more source

Seminormal systems of operators in Clifford environments [PDF]

open access: yesOpuscula Mathematica, 2017
The primary goal of our article is to implement some standard spin geometry techniques related to the study of Dirac and Laplace operators on Dirac vector bundles into the multidimensional theory of Hilbert space operators.
Mircea Martin
doaj   +1 more source

Vector Geometric Algebra in Power Systems: An Updated Formulation of Apparent Power under Non-Sinusoidal Conditions

open access: yesMathematics, 2021
Traditional electrical power theories and one of their most important concepts—apparent power—are still a source of debate, because they present several flaws that misinterpret the power-transfer and energy-balance phenomena under distorted grid ...
Francisco G. Montoya   +4 more
doaj   +1 more source

Geometric Algebra Framework Applied to Symmetrical Balanced Three-Phase Systems for Sinusoidal and Non-Sinusoidal Voltage Supply

open access: yesMathematics, 2021
This paper presents a new framework based on geometric algebra (GA) to solve and analyse three-phase balanced electrical circuits under sinusoidal and non-sinusoidal conditions. The proposed approach is an exploratory application of the geometric algebra
Francisco G. Montoya   +4 more
doaj   +1 more source

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