Commutative algebra | Polynomials | Ring theory

Laurent polynomial

In mathematics, a Laurent polynomial (namedafter Pierre Alphonse Laurent) in one variable over a field is a linear combination of positive and negative powers of the variable with coefficients in . Laurent polynomials in X form a ring denoted . They differ from ordinary polynomials in that they may have terms of negative degree. The construction of Laurent polynomials may be iterated, leading to the ring of Laurent polynomials in several variables. Laurent polynomials are of particular importance in the study of complex variables. (Wikipedia).

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From playlist Is it a polynomial or not?

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From playlist Is it a polynomial or not?

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From playlist Is it a polynomial or not?

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Learn how to identify if a function is a polynomial and identify the degree and LC

👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio

From playlist Is it a polynomial or not?

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Determining if a function is a polynomial or not then determine degree and LC

👉 Learn how to determine whether a given equation is a polynomial or not. A polynomial function or equation is the sum of one or more terms where each term is either a number, or a number times the independent variable raised to a positive integer exponent. A polynomial equation of functio

From playlist Is it a polynomial or not?

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Lec 13 | MIT 6.451 Principles of Digital Communication II

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From playlist MIT 6.451 Principles of Digital Communication II

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Classifying a polynomial based on its degree and number of terms

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From playlist École d’été 2011 - Modules de courbes et théorie de Gromov-Witten

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From playlist Rings and modules

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From playlist Galois theory

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From playlist Classify Polynomials | Equations

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Jones polynomial | Hopf algebra | Integral domain | Rational function | Coefficient | Subring | Group (mathematics) | Artinian ring | Polynomial | Polynomial ring | Pierre Alphonse Laurent | Group ring | Laurent series | Free abelian group | Mathematics | Unit (ring theory) | Field (mathematics) | Integer | Noetherian ring | Ring (mathematics) | Linear combination