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Algebraic function

💡 Words with a Similar Meaning to "Algebraic function"

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

WordDefinition
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).
algebraic geometrynoun(mathematics) A branch of mathematics that studies algebraic varieties (solution sets of polynomial equations) and their generalisations, using techniques from both algebra (chiefly commutative algebra) and geometry.
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
algebraic varietynoun(algebraic geometry) The set of solutions of a given system of polynomial equations over the real or complex numbers; any of certain generalisations of such a set that preserves the geometric intuition implicit in the original definition.
algebraic analysisnounUsed other than figuratively or idiomatically: see algebraic, analysis.; the use of techniques from algebra (especially elementary algebra) to analyse and solve problems.
algebranoun(uncountable, mathematics) Elementary algebra: A system for representing and manipulating unknown quantities (variables) in equations.
arithmetic functionnoun(mathematical analysis) Any function that is defined for all positive integers, and has values that are either real or complex.
algebraic notationnoun(chess) A method for recording and describing the moves in a game of chess which employs a single uppercase letter for each piece and a letter-number coordinate for each square.
algebraizationnoun(mathematics) conversion to algebraic form
algebraic equationnoun(algebra) A mathematical equation having an algebraic expression on one or both sides, such as 2x + 7y = 3.
algebraic geometernounA mathematician who specializes in algebraic geometry.
algebraic groupnoun(algebraic geometry) A group that is an algebraic variety.
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.
linear functionnoun(mathematics) Any function whose graph is a straight line: f(x)=ax+b
algebraicitynoun(mathematics) The quality of being algebraic
functionalUseful; serving a purpose, fulfilling a function.
algebraic numbernoun(algebra, number theory) A complex number (more generally, an element of a number field) that is a root of a polynomial whose coefficients are integers; equivalently, a complex number (or element of a number field) that is a root of a monic polynomial whose coefficients are rational numbers.
algebraizabilitynoun(mathematics) The condition of being algebraizable.
abstract algebranoun(mathematics) The branch of mathematics concerned with algebraic structures, such as groups, rings, and fields.
polynomial functionnoun(mathematics) 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 also the identity function. (If the polynomial is multivariate then there is a different identity function corresponding to each variable.)

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