projective group मीनिंग इन हिंदी

उदाहरण वाक्य

1. She studied the orthogonal group and its corresponding projective group.
2. Note that the projective groups associated to these groups are also linear, though less obviously.
3. These are related as by the commutative diagram at right; notably, both projective groups are equal :.
4. Conversely, any affine linear transformation extends uniquely to a projective linear transformation, so the affine group is a subgroup of the projective group.
5. This theorem generalizes to projective groups of higher dimensions and gives an important infinite family PSL ( " n ", " q " ) of finite simple groups.
6. :[ the third question ] " becomes essentially equivalent to the question of whether an orbit space of some locally closed subset of the Hilbert or Chow schemes by the projective group exists ".
7. For this picture to be consistent, it is necessary that "'P "'H holds a projective group representation of " G " . ( For example, this condition guarantees that applying a symmetry transformation, then applying its inverse transformation, will restore the original quantum state .)
8. Thus Euclidean geometry corresponds to the choice of the group E ( 3 ) of distance-preserving transformations of the Euclidean space "'R "'3, conformal geometry corresponds to enlarging the group to the conformal group, whereas in projective geometry one is interested in the properties invariant under the projective group.
9. If " n " = 2 " k " + 1 is odd, then O ( " n " + 1 ) = O ( 2 " k " + 2 ) does not decompose as a product, and thus the symmetry group of the projective polytope is not simply the rotational symmetries of the spherical polytope, but rather a 2-to-1 quotient of the full symmetry group of the corresponding spherical polytope ( the spherical group is a central extension of the projective group ).