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In mathematics, an affine space is a geometric structure that generalizes some of the properties of Euclidean spaces in such a way that these are independent of the concepts of distance and measure of angles, keeping only the properties related to parallelism and ratio of lengths for parallel line segments. Affine space is the setting for affine geometry.
Affine algebraic geometry, Examples & Coordinates
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Affine space | is a | geometric structure that generalizes some of the properties of Euclidean spaces in such a way that these are independent of the concepts of distance and measure of angles | 0.90 | text |
| Affine space | is a | setting for affine geometry.As in Euclidean space | 0.90 | text |
| Affine space | is a | set A together with a vector space A | 0.90 | text |
| Affine space | is a | principal homogeneous space for the action of the additive group of a vector space | 0.90 | text |
| Affine space | is a | generating set that is also independent | 0.90 | text |
| Affine space | is a | set of the common zeros of the zero polynomial | 0.90 | text |
| Affine space | related to Affine algebraic geometry | In | 0.60 | section |
| Affine space | related to Affine algebraic geometry | For | 0.60 | section |
| Affine space | related to Affine algebraic geometry | Then | 0.60 | section |
| Affine space | related to Affine algebraic geometry | As | 0.60 | section |
| Affine space | related to Affine algebraic geometry | The | 0.60 | section |
| Affine space | related to Affine algebraic geometry | This | 0.60 | section |
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