invariant polynomials造句

In other words, in this case, every invariant polynomial is a linear combination of powers of the determinant polynomial.
The construction for general reductive group is similar and uses invariant polynomials on the Lie algebra of " G ".
In 1893 Hilbert formulated and proved a criterion for determining those orbits which are not separated from the zero orbit by invariant polynomials.
The rings of invariant polynomials of these finite group actions were computed by Klein, and are essentially the coordinate rings of the singularities; this is a classic result in invariant theory.
If the invariant polynomial is homogeneous one can write down concretely any " k "-form of the closed connection " ? " as some 2 " k "-form of the associated curvature form ? of " ? ".
It's difficult to find invariant polynomials in a sentence. 用invariant polynomials造句挺难的

Alternatively, one can first define an equivariant Chern class and then define other characteristic classes as invariant polynomials of Chern classes as in the ordinary case; for example, the equivariant Todd class of an equivariant line bundle is the Todd function evaluated at the equivariant first Chern class of the bundle . ( An equivariant Todd class of a line bundle is a power series ( not a polynomial as in the non-equivariant case ) in the equivariant first Chern class; hence, it belongs to the completion of the equivariant cohomology ring .)