Free Variables and Bound Variables
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n mathematics, and in other disciplines involving formal languages, including mathematical logic and computer science, a free variable is a notation that specifies places in an expression where substitution may take place. The idea is related to a placeholder a symbol that will later be replaced by some literal string, or a wildcard character that stands for an unspecified symbol.

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n mathematics, and in other disciplines involving formal languages, including mathematical logic and computer science, a free variable is a notation that specifies places in an expression where substitution may take place. The idea is related to a placeholder a symbol that will later be replaced by some literal string, or a wildcard character that stands for an unspecified symbol.