💡 Words with a Similar Meaning to "Ultrapolynomial"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| 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. |
| 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. |
| polyexponential | (mathematics) Involving many exponentials |
| hyperbolic polynomialnoun | (mathematics) A real, multivariate homogeneous polynomial p(x) is hyperbolic (in direction e) if p(x-te) = 0 has only real roots as a function of t. |
| power seriesnoun | (mathematics, mathematical analysis) Any infinite series of the general form ∑ᵢ₌₀ ᪲a_i(x-c)ⁱ. |
| quasipolynomialnoun | (mathematics) A generalization of a polynomial |
| pseudopolynomial | (mathematics) A function where f(n+k) ≡ f(n) (mod k) for all integers n ≥ 0, k ≥ 1. |
| laurent polynomialnoun | (mathematics) 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. |
| formal power seriesnoun | (mathematics, algebra) Any finite or infinite series of the form a_0+a_1x+a_2x²…=∑ᵢa_ixⁱ, where the aᵢ are numbers, but it is understood that no value is assigned to x. |
| polynomenoun | (mathematics, rare) polynomial |
| abel polynomialnoun | (mathematics) Any member of a certain polynomial sequence whose nth term is of the form p_n(x)=x(x-an)ⁿ⁻¹. |
| 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.) |
| hypergeometric seriesnoun | (mathematics) Any power series such that the ratio of the (k+1)-th and the k-th terms is a rational function of the natural integer k. |
| taylor's polynomialnoun | Alternative form of Taylor polynomial. [(mathematical analysis) A truncated Taylor series; the sum of the first n terms of a Taylor series.] |
| polynomial equationnoun | (algebra) Any algebraic equation in which one or both sides are in the form of a polynomial. |
| maclaurin polynomialnoun | (mathematics) A truncated Maclaurin series; the sum of the first n terms of a Maclaurin series. |
| lucas polynomialnoun | (mathematics) Any member of a polynomial sequence which can be considered as a generalization of the Lucas numbers. |
| 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. |
| polynomial timenoun | (mathematics) The complexity class where the runtime can be bounded (from above) by a polynomial in the input size. |
| polytimenoun | (computing) polynomial time |
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