例句與造句

1. Projective frames are related by the projective linear group.
2. An example of an application of the second isomorphism theorem is with projective linear groups.
3. A classical group is, roughly speaking, a quotients, the latter yielding projective linear groups.
4. Since the center acts trivially, the projective linear group,, also acts on the projective line.
5. Thus the group of projective transformations is the quotient of the general linear group by the scalar matrices called the projective linear group.
6. It's difficult to find projective linear group in a sentence. 用projective linear group造句挺難的
7. The projective linear group PGL ( 2, "'C "') acts on the Riemann sphere by the M鯾ius transformations.
8. When the projective line is represented as a real line with point at infinity, the elements of the projective linear group act as fractional linear transformations.
9. Homography groups also called projective linear groups are denoted when acting on a projective space of dimension " n " over a field " F ".
10. The double cover had been implicitly found earlier by, who showed that M 12 is a subgroup of the projective linear group of dimension 6 over the finite field with 3 elements.
11. The projective linear groups therefore generalise the case PGL ( 2, "'C "') of M鯾ius transformations ( sometimes called the M鯾ius group ), which acts on the projective line.
12. In number theory there is a ( superficially different ) reason to consider principal homogeneous spaces, for elliptic curves " E " defined over a field " K " ( and more general Severi Brauer varieties for projective linear groups being two.
13. By considering the ball's boundary, a Kleinian group can also be defined as a subgroup ? of PGL ( 2, "'C "'), the complex projective linear group, which acts by M鯾ius transformations on the Riemann sphere.
14. Note that unlike the general linear group, which is generally defined axiomatically as " invertible functions preserving the linear ( vector space ) structure ", the projective linear group is defined " constructively, " as a quotient of the general linear group of the associated vector space, rather than axiomatically as " invertible functions preserving the projective linear structure ".
15. Firstly, the projective linear group PGL ( 2, " K " ) is sharply 3-transitive  for any two ordered triples of distinct points, there is a unique map that takes one triple to the other, just as for M鯾ius transforms, and by the same algebraic proof ( essentially dimension counting, as the group is 3-dimensional ).
16. While the projective linear group of the plane is 3-transitive ( any three distinct points can be mapped to any other three points ), and indeed simply 3-transitive ( there is a " unique " projective map taking any triple to another triple ), with the cross ratio thus being the unique projective invariant of a set of four points, there are basic geometric invariants in higher dimension.