Noun

(en-noun)

(heraldry) A sentence, phrase, or word, forming part of an heraldic achievement.

A sentence, phrase, or word, prefixed to an essay, discourse, chapter, canto, or the like, suggestive of its subject matter; a short, suggestive expression of a guiding principle; a maxim.

* (Joseph Addison) (1672-1719)

It was the motto of a bishop eminent for his piety and good works, ... Serve God, and be cheerful.

*{{quote-book, year=1922, author=(Ben Travers), title=(A Cuckoo in the Nest)

, chapter=1 citation , passage=“[…] the awfully hearty sort of Christmas cards that people do send to other people that they don't know at all well. You know. The kind that have mottoes like
  Here's rattling good luck and roaring good cheer, / With lashings of food and great hogsheads of beer. […]”}}

Noun

(wikipedia formula)

(mathematics) Any mathematical rule expressed symbolically.

$x\; =\; \backslash frac\; \{-b\; \backslash pm\; \backslash sqrt\{b^2\; -\; 4ac\}\}\{2a\}$ is a formula for finding the roots of the quadratic equation ax² + bx + c = 0 .

(chemistry) A symbolic expression of the structure of a compound.

H₂O is the formula for water (Dihydrogen monoxide)

a plan or method for dealing with a problem or for achieving a result

The company's winning formula includes excellent service and quality products.

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

The formula of the rocket fuel has not been revealed.

Drink given to babies to substitute for mother's milk.

(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.