projective plane

P p

Transcription

- US Pronunciation
- US IPA

- US Pronunciation
- US IPA

Definitions of projective plane words

noun Technical meaning of projective plane (mathematics) The space of equivalence classes of vectors under non-zero scalar multiplication. Elements are sets of the form {kv: k != 0, k scalar, v != O, v a vector} where O is the origin. v is a representative member of this equivalence class. The projective plane of a vector space is the collection of its 1-dimensional subspaces. The properties of the vector space induce a topology and notions of smoothness on the projective plane. A projective plane is in no meaningful sense a plane and would therefore be (but isn't) better described as a "projective space". 1
noun projective plane (geometry) A plane in which any pair of distinct points determine a line and any pair of distinct lines intersect at a point. 0

See all 2 definitions of projective plane

Information block about the term

Parts of speech for Projective plane

noun

adjective

verb

adverb

pronoun

preposition

conjunction

determiner

exclamation

Full grammatical hierarchy of Projective plane

See also

Matching words

Was this page helpful?

Yes No

Thank you for your feedback! Tell your friends about this page

Tell us why?