💡 Words with a Similar Meaning to "Polynomial function"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| primitive polynomialnoun | (algebra, field theory) A polynomial over a given finite field whose roots are primitive elements; especially, the minimal polynomial of a primitive element of said finite field. |
| polynomialnoun | (algebra, strict sense) An expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power, such as a_nxⁿ+a_n-1xⁿ⁻¹+...+a_0x⁰. |
| rational functionnoun | (mathematics, complex analysis, algebraic geometry) Any function expressible as the quotient of two (coprime) polynomials (and which thus has poles at a finite, discrete set of points which are the roots of the denominator). |
| polynomial formnoun | (algebra) A linear combination of powers of an indeterminate (or products of powers of more than one indeterminate), with coefficients belonging to an integral domain or a field. (The indeterminate is thought of as an element extraneous to the set of coefficients, instead of as a variable element of it (as in the case of polynomial functions), just as, say, the square root of negative one is an element extraneous to the set of integers when it is adjoined to them to form the domain of Gaussian integers. The indeterminate forms a free commutative monoid, to which all powers of it belong, and the unity of it can also show up implicitly in the constant term of a polynomial form.) |
| polynomial equationnoun | (algebra) Any algebraic equation in which one or both sides are in the form of a polynomial. |
| posynomialnoun | (mathematics) A 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. |
| polynomial algebranoun | (algebra) A polynomial ring. |
| polynomial basisnoun | (algebra, ring theory) A 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). |
| polynomial ringnoun | (algebra) 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. |
| quadratic functionnoun | (mathematics) Any function whose value is the solution of a quadratic polynomial |
| homogeneous functionnoun | (mathematics) a function f(x) which has the property that for any c, f(cx)=cf(x). |
| separable polynomialnoun | (algebra, field theory) 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). |
| pseudopolynomial | (mathematics) A function where f(n+k) ≡ f(n) (mod k) for all integers n ≥ 0, k ≥ 1. |
| partial functionnoun | (mathematics) A function whose domain is a subset of the set on which it is formally defined; i.e., a function f: X→Y for which values f(x) are defined only for x ∈ W, where W ⊆ X. |
| algebraic functionnoun | (algebraic geometry) Informally, any function expressible using (only) the operations of addition, subtraction, multiplication, division and raising to a rational power; more precisely, any continuous function definable as the root of some polynomial equation. |
| all-one polynomialnoun | (mathematics) A polynomial all of whose coefficients are 1. |
| polynomenoun | (mathematics, rare) polynomial |
| homogenous functionnoun | (mathematics) Alternative spelling of homogeneous function. [(mathematics) homogeneous polynomial] |
| homogeneous polynomialnoun | (mathematics) a polynomial such that the sum of the exponents of the variables is the same for every term. |
| inclusion functionnoun | (mathematics) A function whose domain is a subset of its codomain, and for which all of the elements in its domain are fixed points. |
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