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In mathematics, a universal geometric algebra is a type of geometric algebra generated by real vector spaces endowed with an indefinite quadratic form. Some authors restrict this to the infinite-dimensional case.
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Universal geometric algebra | is a | type of geometric algebra generated by real vector spaces endowed with an indefinite quadratic form | 0.90 | text |
| Rp | instance of | which contains vector spaces | 0.80 | text |
| q | instance of | which contains vector spaces | 0.80 | text |
| their respective geometric algebras G | instance of | which contains vector spaces | 0.80 | text |
| adding | instance of | a geometric algebra is created so that every element of the algebra represents a geometric object and algebraic operations | 0.80 | text |
| multiplying correspond to geometric transformations.Consider a set of vectors | instance of | a geometric algebra is created so that every element of the algebra represents a geometric object and algebraic operations | 0.80 | text |
| metrics | instance of | approach where structures | 0.80 | text |
| connections | instance of | approach where structures | 0.80 | text |
| fiber bundles are introduced as needed | instance of | approach where structures | 0.80 | text |
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