Concept information
Preferred term
geometric algebra
Definition
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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)
Broader concept
Narrower concepts
Entry terms
- real Clifford algebra
In other languages
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French
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algèbre de Clifford réelle
URI
http://data.loterre.fr/ark:/67375/PSR-MLKN79JS-9
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