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  • Polynomial function theorems for zeros — are a set of theorems aiming to find (or determine the nature) of the complex zeros of a polynomial function.Found in most precalculus textbooks, these theorems include: * Remainder theorem * Factor theorem * Descartes rule of signs * Rational… …   Wikipedia

  • Zero-forcing precoding — Zero forcing (or Null Steering) precoding is a spatial signal processing by which the multiple antenna transmitter can null multiuser interference signals in wireless communications. Regularized zero forcing precoding is enhanced processing to… …   Wikipedia

  • Polynomial arithmetic — includes basic mathematical operations such as addition, subtraction, and multiplication. These operations are defined naturally as if the variable x was an element of S. Division is defined similarly, but requires that S be a field. Examples of… …   Wikipedia

  • Polynomial — In mathematics, a polynomial (from Greek poly, many and medieval Latin binomium, binomial [1] [2] [3], the word has been introduced, in Latin, by Franciscus Vieta[4]) is an expression of finite length constructed from variables (also known as… …   Wikipedia

  • Polynomial ring — In mathematics, especially in the field of abstract algebra, a polynomial ring is a ring formed from the set of polynomials in one or more variables with coefficients in another ring. Polynomial rings have influenced much of mathematics, from the …   Wikipedia

  • Zero-product property — In the mathematical areas of algebra and analysis, the zero product property, also known as the zero product rule , is an abstract and explicit statement of the familiar property from elementary mathematics that if the product of two real numbers …   Wikipedia

  • Schwartz-Zippel lemma and testing polynomial identities — Polynomial identity testing is the problem of determining whether a given multivariate polynomial is the0 polynomial or identically equal to 0. The input to the problem is an n variable polynomial over a fieldF. It can occur in the following… …   Wikipedia

  • Polynomial matrix — Not to be confused with matrix polynomial. A polynomial matrix or sometimes matrix polynomial is a matrix whose elements are univariate or multivariate polynomials. A λ matrix is a matrix whose elements are polynomials in λ. A univariate… …   Wikipedia

  • Zero (complex analysis) — In complex analysis, a zero of a holomorphic function f is a complex number a such that f(a) = 0. Contents 1 Multiplicity of a zero 2 Existence of zeros 3 Properties …   Wikipedia

  • Polynomial code — In coding theory, a polynomial code is a type of linear code whose set of valid code words consists of those polynomials (usually of some fixed length) that are divisible by a given fixed polynomial (of shorter length, called the generator… …   Wikipedia

  • Polynomial long division — In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division. It can be done easily by hand,… …   Wikipedia

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