Matches in SemOpenAlex for { <https://semopenalex.org/work/W51593462> ?p ?o ?g. }
Showing items 1 to 66 of
66
with 100 items per page.
- W51593462 endingPage "18" @default.
- W51593462 startingPage "13" @default.
- W51593462 abstract "This chapter presents the concept of oriented projective space or two-sided space, which is defined by the means of concrete models. It focuses on a canonical two-sided space Tv for each dimension v. This object will consist of an oriented manifold γv and a collection Fv of oriented submanifolds of γv (the flats). The spherical model of Tv consists of the unit sphere Sv, of Rv+1, that is, the set of all points (x0… xv) of Rv+1 such that Σxi2 = 1. However, dimensionally opposite points are not identified. The straight model of Tv consists of two copies of Rv (the front and back ranges), and one point at infinity d∞ for every direction vector d in Rv. The straight model suggests a convenient representation for figures on the two-sided plane: simply draw the front and back parts on the same sheet of paper, with coincident coordinate frames, using different graphical styles for each range. The analytic model of consists of the nonzero vectors of Rv+1 where two vectors are considered to be the same point if one is a positive multiple of the other." @default.
- W51593462 created "2016-06-24" @default.
- W51593462 creator A5001511641 @default.
- W51593462 date "1991-01-01" @default.
- W51593462 modified "2023-10-17" @default.
- W51593462 title "Oriented projective spaces" @default.
- W51593462 doi "https://doi.org/10.1016/b978-0-12-672025-9.50005-8" @default.
- W51593462 hasPublicationYear "1991" @default.
- W51593462 type Work @default.
- W51593462 sameAs 51593462 @default.
- W51593462 citedByCount "13" @default.
- W51593462 countsByYear W515934622012 @default.
- W51593462 countsByYear W515934622013 @default.
- W51593462 countsByYear W515934622014 @default.
- W51593462 countsByYear W515934622015 @default.
- W51593462 countsByYear W515934622016 @default.
- W51593462 countsByYear W515934622021 @default.
- W51593462 crossrefType "book-chapter" @default.
- W51593462 hasAuthorship W51593462A5001511641 @default.
- W51593462 hasConcept C111919701 @default.
- W51593462 hasConcept C134306372 @default.
- W51593462 hasConcept C17744445 @default.
- W51593462 hasConcept C17825722 @default.
- W51593462 hasConcept C199539241 @default.
- W51593462 hasConcept C202444582 @default.
- W51593462 hasConcept C2524010 @default.
- W51593462 hasConcept C2776359362 @default.
- W51593462 hasConcept C2778572836 @default.
- W51593462 hasConcept C28719098 @default.
- W51593462 hasConcept C33676613 @default.
- W51593462 hasConcept C33923547 @default.
- W51593462 hasConcept C41008148 @default.
- W51593462 hasConcept C94625758 @default.
- W51593462 hasConceptScore W51593462C111919701 @default.
- W51593462 hasConceptScore W51593462C134306372 @default.
- W51593462 hasConceptScore W51593462C17744445 @default.
- W51593462 hasConceptScore W51593462C17825722 @default.
- W51593462 hasConceptScore W51593462C199539241 @default.
- W51593462 hasConceptScore W51593462C202444582 @default.
- W51593462 hasConceptScore W51593462C2524010 @default.
- W51593462 hasConceptScore W51593462C2776359362 @default.
- W51593462 hasConceptScore W51593462C2778572836 @default.
- W51593462 hasConceptScore W51593462C28719098 @default.
- W51593462 hasConceptScore W51593462C33676613 @default.
- W51593462 hasConceptScore W51593462C33923547 @default.
- W51593462 hasConceptScore W51593462C41008148 @default.
- W51593462 hasConceptScore W51593462C94625758 @default.
- W51593462 hasLocation W515934621 @default.
- W51593462 hasOpenAccess W51593462 @default.
- W51593462 hasPrimaryLocation W515934621 @default.
- W51593462 hasRelatedWork W2054102712 @default.
- W51593462 hasRelatedWork W2070821971 @default.
- W51593462 hasRelatedWork W2105325102 @default.
- W51593462 hasRelatedWork W2140952994 @default.
- W51593462 hasRelatedWork W2323733749 @default.
- W51593462 hasRelatedWork W2490180567 @default.
- W51593462 hasRelatedWork W3198856780 @default.
- W51593462 hasRelatedWork W4206263367 @default.
- W51593462 hasRelatedWork W4244525029 @default.
- W51593462 hasRelatedWork W606312320 @default.
- W51593462 isParatext "false" @default.
- W51593462 isRetracted "false" @default.
- W51593462 magId "51593462" @default.
- W51593462 workType "book-chapter" @default.