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List of polynomial topics and Polynomial

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between List of polynomial topics and Polynomial

List of polynomial topics vs. Polynomial

This is a list of polynomial topics, by Wikipedia page. In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

Similarities between List of polynomial topics and Polynomial

List of polynomial topics and Polynomial have 32 things in common (in Unionpedia): Abel–Ruffini theorem, Algebraic element, Algebraic equation, Algorithm, Characteristic polynomial, Coefficient, Cubic function, Degree of a polynomial, Eisenstein's criterion, Exponential polynomial, Factorization of polynomials, Fundamental theorem of algebra, Galois theory, Graph of a function, Homogeneous polynomial, Horner's method, Irreducible polynomial, Laurent polynomial, Monomial, Polynomial, Polynomial greatest common divisor, Polynomial long division, Polynomial remainder theorem, Polynomial ring, Quartic function, Quintic function, Rational function, Sextic equation, Spline (mathematics), Stone–Weierstrass theorem, ..., Vieta's formulas, Zero of a function. Expand index (2 more) »

Abel–Ruffini theorem

In algebra, the Abel–Ruffini theorem (also known as Abel's impossibility theorem) states that there is no algebraic solution—that is, solution in radicals—to the general polynomial equations of degree five or higher with arbitrary coefficients.

Abel–Ruffini theorem and List of polynomial topics · Abel–Ruffini theorem and Polynomial · See more »

Algebraic element

In mathematics, if is a field extension of, then an element of is called an algebraic element over, or just algebraic over, if there exists some non-zero polynomial with coefficients in such that.

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Algebraic equation

In mathematics, an algebraic equation or polynomial equation is an equation of the form where P and Q are polynomials with coefficients in some field, often the field of the rational numbers.

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Algorithm

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.

Algorithm and List of polynomial topics · Algorithm and Polynomial · See more »

Characteristic polynomial

In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues as roots.

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Coefficient

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series or any expression; it is usually a number, but may be any expression.

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Cubic function

In algebra, a cubic function is a function of the form in which is nonzero.

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Degree of a polynomial

The degree of a polynomial is the highest degree of its monomials (individual terms) with non-zero coefficients.

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Eisenstein's criterion

In mathematics, Eisenstein's criterion gives a sufficient condition for a polynomial with integer coefficients to be irreducible over the rational numbers—that is, for it to be unfactorable into the product of non-constant polynomials with rational coefficients.

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Exponential polynomial

In mathematics, exponential polynomials are functions on fields, rings, or abelian groups that take the form of polynomials in a variable and an exponential function.

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Factorization of polynomials

In mathematics and computer algebra, factorization of polynomials or polynomial factorization is the process of expressing a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain.

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Fundamental theorem of algebra

The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root.

Fundamental theorem of algebra and List of polynomial topics · Fundamental theorem of algebra and Polynomial · See more »

Galois theory

In the field of algebra within mathematics, Galois theory, provides a connection between field theory and group theory.

Galois theory and List of polynomial topics · Galois theory and Polynomial · See more »

Graph of a function

In mathematics, the graph of a function f is, formally, the set of all ordered pairs, and, in practice, the graphical representation of this set.

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Homogeneous polynomial

In mathematics, a homogeneous polynomial is a polynomial whose nonzero terms all have the same degree.

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Horner's method

In mathematics, Horner's method (also known as Horner scheme in the UK or Horner's rule in the U.S..) is either of two things.

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Irreducible polynomial

In mathematics, an irreducible polynomial is, roughly speaking, a non-constant polynomial that cannot be factored into the product of two non-constant polynomials.

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Laurent polynomial

In mathematics, a Laurent polynomial (named after Pierre Alphonse Laurent) in one variable over a field \mathbb is a linear combination of positive and negative powers of the variable with coefficients in \mathbb.

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Monomial

In mathematics, a monomial is, roughly speaking, a polynomial which has only one term.

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Polynomial

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

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Polynomial greatest common divisor

In algebra, the greatest common divisor (frequently abbreviated as GCD) of two polynomials is a polynomial, of the highest possible degree, that is a factor of both the two original polynomials.

List of polynomial topics and Polynomial greatest common divisor · Polynomial and Polynomial greatest common divisor · See more »

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.

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Polynomial remainder theorem

In algebra, the polynomial remainder theorem or little Bézout's theorem is an application of Euclidean division of polynomials.

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Polynomial ring

In mathematics, especially in the field of abstract algebra, a polynomial ring or polynomial algebra is a ring (which is also a commutative algebra) formed from the set of polynomials in one or more indeterminates (traditionally also called variables) with coefficients in another ring, often a field.

List of polynomial topics and Polynomial ring · Polynomial and Polynomial ring · See more »

Quartic function

In algebra, a quartic function is a function of the form where a is nonzero, which is defined by a polynomial of degree four, called a quartic polynomial.

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Quintic function

In algebra, a quintic function is a function of the form where,,,, and are members of a field, typically the rational numbers, the real numbers or the complex numbers, and is nonzero.

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Rational function

In mathematics, a rational function is any function which can be defined by a rational fraction, i.e. an algebraic fraction such that both the numerator and the denominator are polynomials.

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Sextic equation

In algebra, a sextic polynomial is a polynomial of degree six.

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Spline (mathematics)

In mathematics, a spline is a function defined piecewise by polynomials.

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Stone–Weierstrass theorem

In mathematical analysis, the Weierstrass approximation theorem states that every continuous function defined on a closed interval can be uniformly approximated as closely as desired by a polynomial function.

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Vieta's formulas

In mathematics, Vieta's formulas are formulas that relate the coefficients of a polynomial to sums and products of its roots.

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Zero of a function

In mathematics, a zero, also sometimes called a root, of a real-, complex- or generally vector-valued function f is a member x of the domain of f such that f(x) vanishes at x; that is, x is a solution of the equation f(x).

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The list above answers the following questions

List of polynomial topics and Polynomial Comparison

List of polynomial topics has 145 relations, while Polynomial has 162. As they have in common 32, the Jaccard index is 10.42% = 32 / (145 + 162).

References

This article shows the relationship between List of polynomial topics and Polynomial. To access each article from which the information was extracted, please visit:

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