projectivization造句
例句与造句
- Projectivization of the Euclidean plane produced the real projective plane.
- See Hopf fibration for details of the projectivization construction in this case.
- It is the closed orbit in the projectivization of the minimal representation of E 6.
- Similarly, a projective variety is the projectivization of the zero set of a collection of homogeneous polynomials.
- The process outlined above, used to obtain it, is called " projective completion " or " projectivization ".
- It's difficult to find projectivization in a sentence. 用projectivization造句挺难的
- In particular, a projective bundle is defined to be zero in the Brauer group if and only if it is the projectivization of some vector bundle.
- For many Lie groups the center is the group of scalar matrices, and thus the group mod its center is the projectivization of the Lie group.
- The universal way to determine a map to projective space is to map to the projectivization of the vector space of all sections of " L ".
- so that, for example, the projectivization of two-dimensional complex Hilbert space ( the space describing one qubit ) is the complex projective line \ mathbb { C } P ^ { 1 }.
- Note that a projective space can be formed by the projectivization of a " vector " space, as lines through the origin, but cannot be formed from an " affine " space without a choice of basepoint.
- The map sends [ x _ 0 : \ ldots : x _ n ] to all possible monomials of total degree " d ", thus the appearance of combinatorial functions; the + 1 and-1 are due to projectivization.
- Since the " D " ( " & phi; " ) form an open cover of " X " the projective schemes can be thought of as being obtained by the gluing via projectivization of isomorphic affine schemes.
- Finite geometries may be constructed via linear algebra, starting from vector spaces over a finite field; the affine and projective planes so constructed are called isomorphic to a projective space over a finite field ( that is, the projectivization of a vector space over a finite field ).
- However, with the exception of the non-Desarguesian planes, all projective spaces are the projectivization of a linear space over a division ring though, as noted above, there are multiple choices of linear structure, namely a torsor over Gal ( " K " / " k " ) ( for " n " e " 3 ).
- In terms of the Lie quadric, this means that a pencil of cycles is a ( projective ) line lying entirely on the Lie quadric, i . e ., it is the projectivization of a totally null two dimensional subspace of "'R "'3, 2 : the representative vectors for the cycles in the pencil are all orthogonal to each other.
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