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2. Free variables and bound variables - Wikipedia

   en.wikipedia.org/wiki/Free_variables_and_bound...

   Note: we define a location in an expression as a leaf node in the syntax tree. Variable binding occurs when that location is below the node n. In the lambda calculus, x is a bound variable in the term M = λx. T and a free variable in the term T. We say x is bound in M and free in T. If T contains a subterm λx. U then x is rebound in this term.

3. Quantifier (logic) - Wikipedia

   en.wikipedia.org/wiki/Quantifier_(logic)

   the occurrence of both x and y in C(y, x) is free, while the occurrence of x and y in B(y, x) is bound (i.e. non-free). Syntax tree of the formula ((,)) (,), illustrating scope and variable capture. Bound and free variable occurrences are colored in red and green, respectively.

4. Lambda calculus definition - Wikipedia

   en.wikipedia.org/wiki/Lambda_calculus_definition

   Variables that fall within the scope of an abstraction are said to be bound. All other variables are called free. For example, in the following expression is a bound variable and is free: . . Also note that a variable is bound by its "nearest" abstraction.

5. Lambda calculus - Wikipedia

   en.wikipedia.org/wiki/Lambda_calculus

   Variables that fall within the scope of an abstraction are said to be bound. In an expression λx.M, the part λx is often called binder, as a hint that the variable x is getting bound by prepending λx to M. All other variables are called free. For example, in the expression λy.x x y, y is a bound variable and x is a free variable. Also a ...

6. Expression (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Expression_(mathematics)

   For a given combination of values for the free variables, an expression may be evaluated, although for some combinations of values of the free variables, the value of the expression may be undefined. Thus an expression represents an operation over constants and free variables and whose output is the resulting value of the expression. [22]

7. Dependent and independent variables - Wikipedia

   en.wikipedia.org/wiki/Dependent_and_independent...

   In mathematics, a function is a rule for taking an input (in the simplest case, a number or set of numbers) [5] and providing an output (which may also be a number). [5] A symbol that stands for an arbitrary input is called an independent variable, while a symbol that stands for an arbitrary output is called a dependent variable. [6]