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What is a formula?

What is a formula? Here are some definitions.

Noun
  1. (mathematics) Any mathematical rule expressed symbolically.
  2. (chemistry) A symbolic expression of the structure of a compound.
  3. A plan or method for dealing with a problem or for achieving a result.
  4. A formulation; a prescription; a mixture or solution made in a prescribed manner; the identity and quantities of ingredients of such a mixture.
  5. Drink given to babies to substitute for mother's milk.
  6. (logic) A syntactic expression of a proposition, built up from quantifiers, logical connectives, variables, relation and operation symbols, and, depending on the type of logic, possibly other operators such as modal, temporal, deontic or epistemic ones.
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