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Concept information

mathematical physics > geometric algebra
algebra > multilinear algebra > geometric algebra

Terme préférentiel

geometric algebra  

Définition(s)

  • In mathematics, a geometric algebra (also known as a real Clifford algebra) is an extension of elementary algebra to work with geometrical objects such as vectors. Geometric algebra is built out of two fundamental operations, addition and the geometric product. Multiplication of vectors results in higher-dimensional objects called multivectors. Compared to other formalisms for manipulating geometric objects, geometric algebra is noteworthy for supporting vector division and addition of objects of different dimensions.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Geometric_algebra)

Synonyme(s)

  • real Clifford algebra

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-MLKN79JS-9

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RDF/XML TURTLE JSON-LD Date de création 03/08/2023, dernière modif. 03/08/2023