Assertion: geometry's point | /r/AtLocation | one-to-one correspondence
Facets:
value: with the vectors
type: OTHER
value: with a given field
type: OTHER
Source sentences:
text: As a result, the points of each line are in one-to-one correspondence with a given field, F, supplemented by an additional element, ∞, such that r ⋅ ∞ = ∞,
text: By choosing any point as "origin", the points are in one-to-one correspondence with the vectors, but there is no preferred choice for the origin; thus an affine space may be viewed as obtained from its associated vector space by "forgetting" the origin (zero vector).