Phrase Hound found 68 phrases and 14 compound words that contain polynomial. The most common are listed below. Open polynomial in the live search for definitions, filters, and the full list.
Phrases 68
- polynomial timeThe complexity class where the runtime can be bounded (from above) by a polynomial in the input size.
- characteristic polynomialThe polynomial produced from a given square matrix by first subtracting the appropriate identity matrix multiplied by an indeterminant and then calculating the determinant.
- Taylor polynomialA truncated Taylor series; the sum of the first n terms of a Taylor series.
- homogeneous polynomiala polynomial such that the sum of the exponents of the variables is the same for every term.
- polynomial equationAny algebraic equation in which one or both sides are in the form of a polynomial.
- primitive polynomialA polynomial over an integral domain R such that no noninvertible element of R divides all its coefficients at once; (more specifically) a polynomial over a GCD domain R such that the greatest common divisor of its coefficients equals 1.
- Maclaurin polynomialA truncated Maclaurin series; the sum of the first n terms of a Maclaurin series.
- minimal polynomialFor a given square matrix M over some field K, the smallest-degree monic polynomial over K which, when applied to M, yields the zero matrix.
- polynomial basisA basis of a polynomial ring (said ring being viewed either as a vector space over the field of coefficients or as a free module over the ring of coefficients).
- separable polynomialA 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).
- polynomial functionAny function whose value is the solution of a polynomial; an element of a subring of the ring of all functions over an integral domain, which subring is the smallest to contain all the constant functions and also the identity function. (If …
- polynomial ringA 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.
- symmetric polynomialA polynomial which remains unchanged if its variables are permuted
- cyclotomic polynomialFor 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 of unity, then Φₙ(x)=∏_( stackrel …
- elementary symmetric polynomiala coefficient of some power of t in (t+x_1)(t+x_2)⋯(t+x_n), for some n∈ N
- Alexander polynomialA knot invariant which assigns a polynomial with integer coefficients to each knot type.
- Bell polynomialAny member of a certain class of polynomials used in the study of set partitions, and related to Stirling numbers and Bell numbers.
- Conway polynomialSynonym of Alexander-Conway polynomial: A version of the Alexander polynomial that can be computed using a skein relation.
- Jones polynomialA 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 polynomialA 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 polynomialAny member of a polynomial sequence which can be considered as a generalization of the Lucas numbers.
- Macdonald polynomialAny of a two-parameter family of orthogonal polynomials indexed by a positive weight of a root system.
- polynomial algebraA polynomial ring.
- polynomial equationsplural of polynomial equation: Any algebraic equation in which one or both sides are in the form of a polynomial.
- polynomial functionsplural of polynomial function: Any function whose value is the solution of a polynomial; an element of a subring of the ring of all functions over an integral domain, which subring is the smallest to contain all the constant functions and …
Compound words 14
- polynomiallyIn a polynomial way.
- eigenpolynomialGiven 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.
- ultrapolynomialA 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.
- nonpolynomialNot polynomial.
- polynomialismThe use of many names or terms.
- polynomialistA proponent of polynomialism.
- polynomialityThe quality of being polynomial.
- posynomialA function of the form f(x_1,x_2,…,x_n)=∑ₖ₌₁ᴷc_kx_1^(a_1k)⋯x_n^(a_nk), where all the coordinates x_i and coefficients c_k are positive real numbers, and the exponents a_ik are real numbers.
- pseudopolynomialA function where f(n+k) ≡ f(n) (mod k) for all integers n ≥ 0, k ≥ 1.
- quasipolynomialA generalization of a polynomial