पॉलीनोमियल्स इसके अंग्रेजी अर्थ का उदाहरण

The polynomials occurring in the numerator and denominator are essentially the characteristic polynomials of the map induced by f on the various homology spaces.

The symmetric algebra on the dual of an affine space is a filtered algebra of polynomials; on a vector space, one instead obtains a graded algebra.

Given a field k, and an algebraically closed extension K of k, an affine variety X over k is the set of common zeros in K^n of a collection of polynomials with coefficients in k:.

Then a k-point of X means a k-point of Pn at which the given polynomials vanish.

In the case of the projective line, this can be proved by manipulations with the resultant of polynomials.

Therefore, different equations using "Q-polynomials" where coefficients are orthogonal to each other are an alternative that is sometimes used.

Common examples of square-free elements include square-free integers and square-free polynomials.

Consider the modules M\Complex [x,y,z]/(f),N\Complex [x,y,z]/(g) for f,g\in \Complex[x,y,z] irreducible polynomials such that \gcd(f,g)1.

Superelliptic curves are a generalization of hyperelliptic curves and a specialization of the previous family of examples since they are given by affine schemes X/\mathbb{C} from polynomials of the form.

12: Field theory and polynomials.

Joan Birman and Xiao-Song Lin, Knot polynomials and Vassiliev's invariants.

Roughly speaking, deformation theory can provide the Taylor polynomial level of information about deformations, while formal moduli theory can assemble consistent Taylor polynomials to make a formal power series theory.