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A list of Citizendium articles, and planned articles, about Polynomial.

See also pages that link to Polynomial or to this page.

1 Parent topics
2 Subtopics
3 Other related topics
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Algebraic geometry [r]: Discipline of mathematics that studies the geometric properties of the objects defined by algebraic equations. [e]
Algebraic independence [r]: The property of elements of an extension field which satisfy only the trivial polynomial relation. [e]
Algebraic number [r]: A complex number that is a root of a polynomial with rational coefficients. [e]
Algebra [r]: A branch of mathematics concerning the study of structure, relation and quantity. [e]
Basis (linear algebra) [r]: A set of vectors that, in a linear combination, can represent every vector in a given vector space or free module, and such that no element of the set can be represented as a linear combination of the others. [e]
Binomial theorem [r]: $\textstyle (x + y)^n = \sum_{k=0}^n {n \choose k} x^k y^{n-k}$ for any natural number n. [e]
Calculus [r]: Add brief definition or description
Catalog of special functions [r]: Add brief definition or description
Completing the square [r]: Rewriting a quadratic polynomial as a constant multiple of a linear polynomial plus a constant. [e]
Complex number [r]: Numbers of the form a+bi, where a and b are real numbers and i denotes a number satisfying $i^2=-1$ . [e]
Content (algebra) [r]: The highest common factor of the coefficients of a polynomial. [e]
Cubic equation [r]: A polynomial equation with no exponent larger than 3. [e]
Cyclotomic polynomial [r]: A polynomial whose roots are primitive roots of unity. [e]
Discriminant of a polynomial [r]: An invariant of a polynomial which vanishes if it has a repeated root: the product of the differences between the roots. [e]
E (mathematics) [r]: Constant real number equal to 2.71828 18284 59045 23536... that is the base of the natural logarithms. [e]
Elementary function [r]: Mathematical functions built from a finite number of exponentials, logarithms, constants, one variable, and roots of equations through composition and combinations using the four elementary arithmetic operations (+ – × ÷). [e]
Entire function [r]: is a function that is holomorphic in the whole complex plane. [e]
Exponential growth [r]: Increase of a quantity x with time t according to the equation x = Kat, where K and a are constants, a is greater than 1, and K is greater than 0. [e]
Fibonacci polynomials [r]: Polynomial sequence which can be considered as a generalisation of the Fibonacci numbers. [e]
Field (mathematics) [r]: An algebraic structure with operations generalising the familiar concepts of real number arithmetic. [e]
Field extension [r]: A field containing a given field as a subfield. [e]
Fraction (mathematics) [r]: A concept used to convey a proportional relation between a part and the whole consisting of a numerator (an integer — the part) and a denominator (a natural number — the whole). [e]
Fundamental Theorem of Algebra [r]: Any nonconstant polynomial whose coefficients are complex numbers has at least one complex number as a root. [e]
Galois theory [r]: Algebra concerned with the relation between solutions of a polynomial equation and the fields containing those solutions. [e]
Gamma function [r]: A mathematical function that extends the domain of factorials to non-integers. [e]
Graph coloring [r]: Graph labelling, which assigns labels traditionally called 'colours' to elements of a graph subject to certain constraints. [e]
Group (mathematics) [r]: Set with a binary associative operation such that the operation admits an identity element and each element of the set has an inverse element for the operation. [e]
Hall polynomial [r]: The structure constants of Hall algebra. [e]
Holomorphic function [r]: Function $f$ from $A \subseteq \mathbb{C}$ to $B\subseteq\mathbb{C}$ is called holomorphic in domain $A$ if for every open domain $E\subseteq A$ there exist derivative $f'(z) ~\forall~ z\in E$ . [e]
Integer [r]: The positive natural numbers (1, 2, 3, …), their negatives (−1, −2, −3, ...) and the number zero. [e]
Legendre-Gauss Quadrature formula [r]: the specific approximation of the integral with the sum of N terms, which becomes exact for the polynomial integrand of order < 2N. [e]
Littlewood polynomial [r]: A polynomial all of whose coefficients are plus or minus 1. [e]
Mathematics [r]: The study of quantities, structures, their relations, and changes thereof. [e]
Minimal polynomial [r]: The monic polynomial of least degree which a square matrix or endomorphism satisfies. [e]
Multiple (mathematics) [r]: The product of an integer with another integer. [e]
Multiplication [r]: The binary mathematical operation of scaling one number or quantity by another (multiplying). [e]
Null set [r]: Add brief definition or description
Number [r]: One of the fundamental concepts of mathematics, used for such purposes as counting, ordering, and measuring. [e]
Polynomial ring [r]: Ring formed from the set of polynomials in one or more variables with coefficients in another ring. [e]
Quadratic equation [r]: An equation of the form ax² + bx + c = 0 where a, b and c are constants. [e]
Rational function [r]: Function that can be expressed as a quotient of polynomials, excluding division by zero. [e]
Reaction rate [r]: The amount of reactant or product that is formed or removed (in moles or mass units) per unit time per unit volume, in a particular reaction. [e]
Real number [r]: A limit of the Cauchy sequence of rational numbers. [e]
Resultant (algebra) [r]: An invariant which determines whether or not two polynomials have a factor in common. [e]
Ring (mathematics) [r]: Algebraic structure with two operations, combining an abelian group with a monoid. [e]
Root of unity [r]: An algebraic quantity some power of which is equal to one. [e]
Splitting field [r]: A field extension generated by the roots of a polynomial. [e]
Transcendental number [r]: A number which is not algebraic: that is, does not satisfy any polynomial with integer or rational coefficients. [e]
Trigonometric function [r]: Function of an angle expressed as the ratio of two of the sides of a right triangle that contains that angle; the sine, cosine, tangent, cotangent, secant, and cosecant. [e]
Vector space [r]: A set of vectors that can be added together or scalar multiplied to form new vectors [e]