Results 151 to 160 of about 251 (170)

Doing Geometric Research with Clifford Algebra

2000
Clifford algebra is a coordinate-free approach to geometric research and applications. In this paper we present some basic techniques that we have been developing and employing in our research on a Clifford algebra approach to hyperbolic geometry and automated geometry theorem proving.
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Symbolic computation in the homogeneous geometric model with clifford algebra

Proceedings of the 2004 international symposium on Symbolic and algebraic computation, 2004
Clifford algebra provides nice algebraic representations for Euclidean geometry via the homogeneous model, and is suitable for doing geometric reasoning through symbolic computation. In this paper, we propose various symbolic computation techniques in Clifford algebra.
openaire   +2 more sources

Geometric Encoding of Sentences based on Clifford Algebra

2012
Natural language sentences can be represented as vectors in a high dimensional vector space. Generally, these models are based on bag of words approaches, and therefore they do not fully capture the semantics of sentences which depends both by the semantics of the words, and their order in in the phrase.
Agnese Augello, Manuel Gentile, Giovanni Pilato, Giorgio Vassallo   +3 more
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Clifford and the first steps in the elaboration of geometric algebras

Llull Revista de la Sociedad Española de Historia de las Ciencias y de las Técnicas
This article studies the process of elaboration and the content of Clifford’s first article Preliminary Sketch of Biquaternions, which constitutes the first stage in the conception of geometric algebras. The first part of this article analyses Clifford’s formation and his first published works.
Jonatan Pinsard Prates de Lima, Gerard Émile Grimberg   +1 more
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Formulating the geometric foundation of Clarke, Park, and FBD transformations by means of Clifford's geometric algebra

Mathematical Methods in the Applied Sciences, 2022
Ahmad Hosny Eid, Francisco Gil-Montoya
exaly  

Clifford (Geometric) Algebras

1996
openaire   +1 more source

UAV’s Agricultural Image Segmentation Predicated by Clifford Geometric Algebra

IEEE Access, 2019
Khizar Abbas, Prince Waqas Khan, Guangxia Xu   +2 more
exaly  

Interactive 3D Space Group Visualization with CLUCalc and the Clifford Geometric Algebra Description of Space Groups

Advances in Applied Clifford Algebras, 2010
Eckhard Hitzer
exaly  

Calculation of Elements of Spin Groups Using Method of Averaging in Clifford’s Geometric Algebra

Advances in Applied Clifford Algebras, 2019
Dmitry Shirokov
exaly  

Geometric Product and Clifford Algebra

2015
openaire   +1 more source