formula vs watchword

formula

noun
  • A formal statement of doctrine. 

  • Any mathematical rule expressed symbolically. 

  • A symbolic expression of the structure of a compound. 

  • A formulation; a prescription; a mixture or solution made in a prescribed manner; the identity and quantities of ingredients of such a mixture. 

  • 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. 

  • A plan or method for dealing with a problem or for achieving a result. 

watchword

noun
  • A word used as a motto, as expressive of a principle, belief, or rule of action; a rallying cry. 

  • A prearranged reply to the challenge of a sentry or a guard; a password or signal by which friends can be known from enemies. 

How often have the words formula and watchword occurred in a corpus of books? (source: Google Ngram Viewer )