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What is a free variable?

What is a free variable? Here are some definitions.

Noun
  1. (programming) A variable that is not bound to a storage location.
  2. (mathematics) A variable (occurring within some expression or well-formed formula) which is not bound by a quantifier or analogous symbol (such as a lambda abstractor, the "differential d" near the end of an integral or differential form, or a summation symbol).
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