Euclidean Affine Space

up:: Affine Space

An affine space is said to be an Euclidean affine space when its underlying vector space is a Euclidean Vector Space with a Metric Function in (induced from its Inner Product ).

That is, given any points (i.e. separated by a vector ), their distance can be defined as

This structure is meant to represent physical space ─ in particular Newtonian Reference Frames.

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References

• Euclidean space - Wikipedia