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Arithmetic function

💡 Words with a Similar Meaning to "Arithmetic function"

Found via reverse dictionary — words that share a conceptual meaning.

WordDefinition
simple functionnoun(mathematical analysis) Any complex-valued measurable function whose range is finite.
arithmeticnounThe mathematics of numbers (integers, rational numbers, real numbers, or complex numbers) under the operations of addition, subtraction, multiplication, and division.
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.
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).
integral functionnoun(mathematics) An entire function
functional analysisnounThe branch of mathematics dealing with infinite-dimensional vector spaces, whose elements are actually functions, as well as generalizations such as Banach spaces and Hilbert spaces.
complex functionnoun(mathematics) A function whose range is a subset of the set of complex numbers.
real functionnoun(mathematics) A function whose range is a subset of the set of real numbers.
recursive functionnoun(computing) Any function that uses recursion and can call itself until a certain condition is met.
algebraic integernoun(algebra, number theory) A real or complex number (more generally, an element of a number field) which is a root of a monic polynomial whose coefficients are integers; equivalently, an algebraic number whose minimal polynomial (lowest-degree polynomial of which it is a root and whose leading coefficient is 1) has integer coefficients.
functionalUseful; serving a purpose, fulfilling a function.
elementary functionnoun(mathematics) Any function that is composed of algebraic functions, trigonometric functions, exponential functions and/or logarithmic functions, combined using addition, subtraction, multiplication and/or division
mathematical analysisnoun(mathematics) The mathematical study of functions, sequences, series, limits, derivatives and integrals.
increasing functionnoun(mathematics) Any function of a real variable whose value increases (or is constant) as the variable increases.
affine arithmeticnoun(mathematical analysis, computing) A model for self-validated numerical analysis in which quantities are represented as affine combinations (called affine forms) of certain primitive variables that stand for sources of uncertainty in data or approximations made during computations.
higher arithmeticnoun(mathematics, chiefly dated) Number theory; the branch of pure mathematics concerned primarily with integers and integer-valued functions.
transcendental functionnoun(mathematical analysis) Any function that is algebraically independent of its variable(s); a function which does not satisfy a polynomial equation whose coefficients are themselves polynomials.
implicit functionnoun(mathematical analysis, algebraic geometry) A function defined by a (multivariable) implicit equation when one of the variables is regarded as the value of the function, especially where said equation is such that the value is not directly calculable from the other variables.
arithmetic seriesnoun(mathematical analysis) The sum of the terms in an arithmetic progression.
analytic functionnoun(mathematical analysis) Any smooth (infinitely differentiable) function f, defined on an open set D⊆ℂ( textit or⊆ℝ), whose value in some neighbourhood of any given point x_0∈D is given by the Taylor series ∑ₙ₌₀ ᪲(f⁽ⁿ⁾(x_0))/(n!)(x-x_0)ⁿ.

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