Phrase Hound found 44 phrases and 6 compound words that contain polynomials. The most common are listed below. Open polynomials in the live search for definitions, filters, and the full list.
Phrases 44
- Abel polynomialsplural of Abel polynomial: Any member of a certain polynomial sequence whose nth term is of the form p_n(x)=x(x-an)ⁿ⁻¹.
- Bell polynomialsplural of Bell polynomial: Any member of a certain class of polynomials used in the study of set partitions, and related to Stirling numbers and Bell numbers.
- Bernstein polynomialsplural of Bernstein polynomial: The linear combination of a set of Bernstein basis polynomials.
- Conway polynomialsplural of Conway polynomial: A version of the Alexander polynomial that can be computed using a skein relation.
- Dickson polynomialsplural of Dickson polynomial: Any member of a certain polynomial sequence Dₙ(x,α).
- homogeneous polynomialsplural of homogeneous polynomial: a polynomial such that the sum of the exponents of the variables is the same for every term.
- Jones polynomialsplural of Jones polynomial: A particular knot polynomial that is an invariant of an oriented knot or link which assigns to each oriented knot or link a Laurent polynomial in the variable t^(1/2) with integer coefficients.
- Laurent polynomialsplural of Laurent polynomial: A linear combination of positive and negative powers of a variable with coefficients in a given field. They differ from ordinary polynomials in that they may have terms of negative degree.
- Lucas polynomialsplural of Lucas polynomial: Any member of a polynomial sequence which can be considered as a generalization of the Lucas numbers.
- Macdonald polynomialsplural of Macdonald polynomial: Any of a two-parameter family of orthogonal polynomials indexed by a positive weight of a root system.
- symmetric polynomialsplural of symmetric polynomial: A polynomial which remains unchanged if its variables are permuted
- Taylor polynomialsplural of Taylor polynomial: A truncated Taylor series; the sum of the first n terms of a Taylor series.
- Lagrange polynomialsplural of Lagrange polynomial: For a given set of points (x_j,y_j) with no two x_j values equal, the polynomial of lowest degree that assumes at each value x_j the corresponding value y_j, so that the functions coincide at each point.
- rook polynomialsplural of rook polynomial: A generating polynomial of the number of ways to place non-attacking rooks on a generalized form of chessboard.
- separable polynomialsplural of separable polynomial: A polynomial over a given field that has distinct roots in the algebraic closure of said field (the number of roots being equal to the degree of the polynomial).
- Jacobi polynomialsplural of Jacobi polynomial: Any member of a certain class of orthogonal polynomials.
- Fibonacci polynomialsplural of Fibonacci polynomial: Any member of a polynomial sequence which can be considered as a generalization of the Fibonacci numbers.
- elementary symmetric polynomialsplural of elementary symmetric polynomial: a coefficient of some power of t in (t+x_1)(t+x_2)⋯(t+x_n), for some n∈ N
- ring of polynomialsSynonym of polynomial ring: A ring (which is also a commutative algebra), denoted K[X], formed from the set of polynomials (usually of one variable, in a given set, X), with coefficients in a given ring (often a field), K.
- Bernoulli polynomialsplural of Bernoulli polynomial: Any member of a certain group of polynomials remarkable in that the number of crossings of the x-axis in the unit interval does not go up as the degree of the polynomials goes up.
- Legendre polynomialsplural of Legendre polynomial: Any of a certain system of complete and orthogonal polynomials, with numerous mathematical properties and applications.
- Hermite polynomialsplural of Hermite polynomial: Any member of a classical orthogonal polynomial sequence having diverse applications.
- Boas-Buck polynomialsplural of Boas-Buck polynomial: Any member of the sequence of polynomials Φₙ⁽ʳ⁾(x) given by generating functions of the form displaystyle C(ztʳB(t))=∑_(n>0)Φₙ⁽ʳ⁾(z)tⁿ.
- Laguerre polynomialsplural of Laguerre polynomial: A polynomial that is a solution to Laguerre's equation.
- cyclotomic polynomialsplural of cyclotomic polynomial: For a positive integer n, a polynomial whose roots are the primitive nᵗʰ roots of unity, so that its degree is Euler's totient function of n. That is, letting ζₙ=e^(i 2π/n) be the first primitive nᵗʰ root …
Compound words 6
- ultrapolynomialsplural of ultrapolynomial: A power series in several variables P:Kᵈ→K (with K a field) of the form P(x)=Σ_(α∈ℕᵈ)c_αx^α whose coefficients are bounded in some specific sense.
- eigenpolynomialsplural of eigenpolynomial: Given a square matrix A with eigenvector x and eigenvalue λ, and given the Identity matrix I of the same order (size) as A, an eigenpolynomial is the polynomial of λ that calculates the determinant of A - λI.
- nonpolynomialsplural of nonpolynomial: Not polynomial.
- pseudopolynomialsplural of pseudopolynomial: A function where f(n+k) ≡ f(n) (mod k) for all integers n ≥ 0, k ≥ 1.
- quasipolynomialsplural of quasipolynomial: A generalization of a polynomial
- superpolynomialsplural of superpolynomial: Describing an algorithm whose execution time is not limited by a polynomial