Polynomial factorization
Polynomial factorization Polynomial factorization typically refers to factoring a polynomial into irreducible polynomials over a given field ... all polynomials with complex coefficients have complex roots, implies that a polnomial with integer coefficients ... C. On the other hand, such a polynomial can may only be reducable to ...
http://en.wikipedia.org/wiki/Polynomial_factorization - 11k - Cached - Similar pages

Trigonometric polynomial
Trigonometric polynomial In the mathematical subfield of numerical analysis, a trigonometric polynomial is a finite linear combination of sin ... a natural number. Hence the term trigonometric polynomial as the sin(nx)s and cos ... similar to the monomial basis for a polynomial. The trigonometric polynomials are used in trigonometric ... mathbf{R}) is called complex trigonometric polynomial of degree N. Using Euler's ...
http://en.wikipedia.org/wiki/Trigonometric_polynomial - 3k - Cached - Similar pages

Minimal polynomial   (translated from French)
Minimal polynomial Linear algebra In algèbre linear , it minimal polynomial of one matrice square M of order ... such as p(M)=0. Any other polynomial not no one Q such as Q(M)=0 is multiple of p. Three following assertions, concerning an ... equivalent: ? is a root of the minimal polynomial of M, ? is a root of ...
http://fr.wikipedia.org/wiki/Polynôme_minimal - 4k - Cached (French) - Wikipedia (French) - Similar pages

Theory of Galois   (translated from French)
... on the study of "substitutions" of the roots of polynomials called today permutations. The possible ... intention to describe the permutations of the roots. The theory of Galois has multiple applications and makes it possible to solve ... why is there no formula giving the roots of a polynomial of degree equal to or higher ...
http://fr.wikipedia.org/wiki/Théorie_de_Galois - 20k - Cached (French) - Wikipedia (French) - Similar pages

Cubic equation
Cubic equation Graph of a cubic polynomial:y = x 3 /4 + 3x 2 /4 ... In mathematics, a cubic equation is a polynomial equation in which the highest occurring power ... a cubic equation amounts to finding the roots of a cubic function. (This article discusses ... of complex numbers. The nature of the roots Every cubic equation with real coefficients has ... then the equation has three distinct real roots. If Δ > 0, then the equation ...
http://en.wikipedia.org/wiki/Cubic_equation - 38k - Cached - Similar pages

Talk:Durand-Kerner method
... talks about how well the method finds multiple roots. Well, I don't think that multiple roots should be found numerically (and approximately), because they can be isolated from the polynomial algebraically (and exactly). The point is ...
http://en.wikipedia.org/wiki/Talk:Durand-Kerner_method - 12k - Cached - Similar pages

Talk:Function (mathematics)
... to be married, meaning that they had multiple wives... etc. The final sentence is repeated ... May 2005 (UTC) A function which takes multiple parameters is perfectly OK, it's just ... functions are functions. "Unique" means not having multiple "y" values associated to one "x", not ... because a positive number has two square roots. The square roots of 9 are 3 and − ...
http://en.wikipedia.org/wiki/Talk:Function_(mathematics) - 400k - Cached - Similar pages

Formal derivative
... is an operation on elements of a polynomial ring which mimics the form of the ... differentiation in algebra is to test for multiple roots of a polynomial. The definition of a formal derivative is ... of polynomials or the sum of a polynomial with a multiple of another polynomial, ...
http://en.wikipedia.org/wiki/Formal_derivative - 7k - Cached - Similar pages

Discriminant
... algebraic number fields among others. For a polynomial P(x) the discriminant is itself a polynomial function of the coefficients, and identifies the case of a multiple root (i.e. for which the graph ... touch the x-axis). For the quadratic polynomial ax 2 + bx + c, the discriminant is ... sign in the quadratic formula for the roots. Discriminants in algebraic number theory are ...
http://en.wikipedia.org/wiki/Discriminant - 8k - Cached - Similar pages

BCH code
... variable-length digital code used to correct multiple random error patterns. BCH codes may also ... finite fields. To detect errors a check polynomial can be constructed so the receiving end ... m ) is constructed by first finding a polynomial over GF(q) whose roots include δ consecutive powers of γ, some ... 0 (mod m 1 (x)) which has roots α, α 2 , α 4 , α ...
http://en.wikipedia.org/wiki/BCH_code - 14k - Cached - Similar pages