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# Algebraic expression

a symbol or a combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations:
how to solve algebraic expressions.
Historical Examples

An equation admits of description in two ways:— It may be regarded purely as an algebraic expression, or as a geometrical locus.
Encyclopaedia Britannica, 11th Edition, Volume 9, Slice 7 Various

It is a mere symbol, like the algebraic expression which stands for a curve.
The Idea of God as Affected by Modern Knowledge John Fiske

In short, the true value of a thing is invariable in its algebraic expression, although it may vary in its monetary expression.
What is Property? P. J. Proudhon

noun

a mathematical phrase which can contain numbers, operators (add, subtract, multiply, divide), and at least one variable (like x, y) to represent operations
Examples

An example of an algebraic expression is x + 5 4n ÷ 6.
Usage Note

mathematics

Tagged:

• Algebraic function

a function that can be expressed as a root of an equation in which a polynomial, in the independent and dependent variables, is set equal to zero. noun (maths) any function which can be constructed in a finite number of steps from the elementary operations and the inverses of any function already constructed Compare transcendental […]

• Algebraic geometry

the study of sets that are defined by algebraic equations.

• Algebraic interpretive dialogue

algebraic interpretive dialogue language (AID) A version of Joss II for the PDP-10. [“AID (Algebraic Interpretive Dialogue)”, DEC manual, 1968]. (1995-04-12)

• Algebraic logic functional language

algebraic logic functional language language (ALF) A language by Rudolf Opalla opalla@julien.informatik.uni-dortmund.de which combines functional programming and logic programming techniques. ALF is based on Horn clause logic with equality which consists of predicates and Horn clauses for logic programming, and functions and equations for functional programming. Any functional expression can be used in a goal […]

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