# Polynomials Sentence Examples

It is practically identical with that of finding the greatest common measure of two

**polynomials**.Lower order

**polynomials**are trivial to solve while higher order**polynomials**require iterative algorithms to solve them.Thus we don't ever need to compute the Bezier

**polynomials**, we simply depth reduce the control points recursively until d =0.These methods are based on a discontinuous Galerkin approach, where the unknowns are approximated by completely discontinuous piecewise

**polynomials**.To calculate the greatest common divisor of two integers and of two

**polynomials**over a field.Here, orthogonal

**polynomials**play an important role in the analysis.I shall discuss recent developments in the ' transfer matrix ' method for calculating chromatic

**polynomials**of families of graphs.Clearly writing a class hierarchy starting with multivariate

**polynomials**in order to derive integers makes no sense!Examples of

**polynomials**which are not solvable by radicals.It is the resultant of k

**polynomials**each of degree m-I, and thus contains the coefficients of each form to the degree (m-I)'-1; hence the total degrees in the coefficients of the k forms is, by addition, k (m - 1) k - 1; it may further be shown that the weight of each term of the resultant is constant and equal to m(m-I) - (Salmon, l.c. p. loo).AdvertisementDiscriminants.-The discriminant of a homogeneous polynomial in k variables is the resultant of the k

**polynomials**formed by differentiations in regard to each of the variables.Under the general heading "Algebra and Theory of Numbers" occur the subheadings "Elements of Algebra," with the topics rational

**polynomials**, permutations, &c., partitions, probabilities; "Linear Substitutions," with the topics determinants, &c., linear substitutions, general theory of quantics; "Theory of Algebraic Equations," with the topics existence of roots, separation of and approximation to, theory of Galois, &c. "Theory of Numbers," with the topics congruences, quadratic residues, prime numbers, particular irrational and transcendental numbers.Case of Three Variables.-In the next place we consider the resultants of three homogeneous

**polynomials**in three variables.