free variable

A 'free variable' is fundamental in fields like mathematics, logic, and computer science, signifying a variable not constrained by specific definitions within an expression or scope.

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Definition

C1Mathematics and Logic

(technical, academic)A variable in an expression or formula that is not limited by a quantifier or operator, allowing it to take any value within its domain.

Example

  • In the expression βˆ«β‚€^∞ x^(y-1) e^(-x) dx, y is a free variable because it is not bound by the integral.

C1Computer Science

(technical, academic)A variable used in a function or scope but not declared within that function or passed as an argument.

Example

  • In the function definition, 'y' is a free variable since it is not declared within the function.

Similar

Terms that have similar or relatively close meanings to "free variable":

independent variablehidden variablerandom variablefree floatfree spacefree energyfree ballfree and easygo freedegree of freedomfree handmake free withfree worldunknown quantityfree willfree listdependent variablefree use