Results 11 to 20 of about 751,757 (240)
Generalized geometric Lie algebra and its research
上海师范大学学报. 自然科学版, 2023 In order to explore the general extension meanings of Lie algebra， the generalized geometric Lie bracket and generalized geometric Lie algebra are constructed and their related properties are studied， containing Lie algebra as a special case.
WANG Gen, LIANG Yuxia
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Chirality in Geometric Algebra
Mathematics, 2021 We define chirality in the context of chiral algebra. We show that it coincides with the more general chirality definition that appears in the literature, which does not require the existence of a quadratic space.
Michel Petitjean
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Shape theory and mathematical design of a general geometric kernel through regular stratified objects [PDF]
, 2000 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This dissertation focuses on the mathematical design of a unified shape kernel for geometric computing, with possible applications to computer aided design (
Gomes, Abel Joao Padrao
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Advancement in Color Image Processing using Geometric Algebra [PDF]
, 2008 This paper describes an advancement in color image processing, using geometric algebra. This is achieved using a compact representation of vectors within $n$ dimensional space. Geometric Algebra (GA) is a preferred framework for signal representation and
Mishra, Biswajit +2 more
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An approach to adaptive filtering with variable step size based on geometric algebra
IET Communications, 2022 Recently, adaptive filtering algorithms have attracted much more attention in the field of signal processing. By studying the shortcoming of the traditional real‐valued fixed step size adaptive filtering algorithm, this paper proposed the novel approach ...
Haiquan Wang +3 more
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A Machine Proof System of Point Geometry Based on Coq
Mathematics, 2023 An important development in geometric algebra in recent years is the new system known as point geometry, which treats points as direct objects of operations and considerably simplifies the process of geometric reasoning.
Siran Lei +4 more
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IEEE Access, 2020 With the increasing demand for multidimensional data processing, Geometric algebra (GA) has attracted more and more attention in the field of geographical information systems.
Uzair Aslam Bhatti +8 more
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A multi‐channel geometric algebra residual network for traffic data prediction
IET Intelligent Transport Systems, 2022 Traffic data prediction offers a significant way to evaluate the future traffic congestion status; many deep learning based approaches have been widely applied in this field. Most current methods only consider short‐term traffic data forecasting; however,
Di Zang +6 more
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Aplikasi Aljabar Geometris Pada Teori Elektrodinamika Klasik
Jurnal Fourier, 2012 In this paper geometric algebra and its aplication in the theory of classical electrodynamic will be studied. Geometric algebra provide many simplification and new insight in the theoretical formulation and physical aplication of theory.
Joko Purwanto
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Geometric-algebra affine projection adaptive filter
EURASIP Journal on Advances in Signal Processing, 2021 Geometric algebra (GA) is an efficient tool to deal with hypercomplex processes due to its special data structure. In this article, we introduce the affine projection algorithm (APA) in the GA domain to provide fast convergence against hypercomplex ...
Yuetao Ren, Yongfeng Zhi, Jun Zhang
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