projectivization
Word Rarity
Very rare
Frequency: Zipf frequency 0.00 in modern English
39
Scrabble Score
16
Letters
4
Syllables
12
Unique Chars
Meaning
noun
A process (more formally, a mapping) that, given a vector space, specifies an associated projective space; (loosely) the projective space so specified.
Example Sentences
- "Let us consider the vector space T#95;p. Its projectivization #123;PT#125;#95;p, is a projective space, which is obtained from T#95;p, by factorization relative to the collinearity of vectors. The projectivization #123;PT#125;#95;p is a set of straight lines, passing through the point p. Under projectivization, the cone C(2,r) becomes a manifold S(1,r-1) of dimension r."
- "1997, M. E. Alferieff (translator), Alexei Kostrikin, Yuri Manin, Linear Algebra and Geometry, Gordon and Breach Science Publishers, Paperback, page 233, Therefore, the projectivization P(f) is determined only on the complement U_f=P(L)P( ker f)."
- "The projectivization of a two-dimensional irregular equation (1.1) is a holomorphic vector field on #92;mathbbP¹#92;times#92;left#92;#123;#92;vertt#92;vertlt;1#92;right#92;#125; having a pair of singularities on the fiber #92;mathbbP¹#92;times 0 (which correspond to the eigenlines of the matrix A(0), the coordinate lines in our case).[…]Now the preceding corollary applied to the family of projectivizations says that the horizontal separatrices converge to the sectorial separatrices of the projectivized nonperturbed equation."
Etymology
From projective + -ization.