formula
Pluralformulas, formulae, formulæ
- 1A plan or method for dealing with a problem or reaching a desired result.
The coach relied on a simple formula: train hard, rest well, repeat.
Politicians keep searching for a formula to balance growth and fairness.
Similarrecipe, method, plan, approach, blueprint
Note
The everyday figurative use favors a few companions: a winning formula, the formula of last season, and especially the denial that a problem has any magic formula. The word implies something repeatable, a method that worked once and can be applied again. That is why a football manager can "go back to" one, and why complex problems are said to have no formula at all.
- 2A mathematical rule or relationship expressed symbolically, using letters and signs rather than ordinary words.
The quadratic formula gives the roots of any second-degree equation.
Physicists combine several formulas to predict the rocket's trajectory.
Similarequation, expression, rule
Note
Here the word stays closest to its Latin source: fōrmula, a diminutive of forma, meaning "a small pattern or mold". A mathematical formula really is a mold into which known values are poured to get an unknown one, and the quadratic formula is the textbook case. Two plurals live side by side, formulas and formulae, and both are correct. The ligatured formulæ also appears.
- 3A prescribed set of ingredients in fixed quantities, or the mixture or solution prepared by combining them.
The chemist adjusted the formula to make the cream less greasy.
Each soda brand guards its formula closely.
Similarrecipe, composition, blend, mixture
Note
The recipe meaning covers what goes into a product and in what amounts. It is easy to confuse with the chemist's notation, which names a single compound. This formula specifies a whole mixture and the way it is prepared. It can also mean the preparation itself. Because it is a maker's specification, it can be kept secret, like a rocket fuel whose formula has never been revealed.
- 4A symbolic expression showing the elements and proportions that make up a chemical compound.
The formula for glucose tells chemists how many carbon and oxygen atoms it contains.
Students memorized the formula for each common acid.
Note
Chemistry's version records what a substance is made of. Element symbols carry subscripts that count the atoms, as in H₂O, and structural variants also show how those atoms are bonded. The usual preposition is for: the formula for water. Where the mathematical rule tells you how to reach an answer, this formula simply describes a compound. Say chemical formula when context leaves room for doubt.
- 5Ellipsis of infant formula.
The hospital sent us home with samples of formula.
He mixed the formula with warm water before each feeding.
Note
Context drops infant and leaves the head noun to carry the whole meaning: a manufactured food imitating breast milk, meant for babies under twelve months. As a mass noun it takes no article, as in advocating for formula or samples of formula. Counted, it means a particular product or type, which is why parents speak of switching formulas.
- 6A fixed phrase or set of words used by convention or to express an attitude, meant to be understood non-literally rather than word for word.
Like a handshake made of words: the gesture is what counts, not the literal meaning of each part.
Diplomatic apologies often rely on a worn formula that signals regret without admitting any fault.
The wedding ceremony closed with the familiar formula that bound the couple together.
Similarphrase, expression, wording
Note
Linguists use the word for phrases whose job is social rather than literal. A letter that closes with Kind regards is not measuring actual kindness. Greetings, oaths and politeness routines work the same way: they do their work by being the expected words. Calling such a phrase a formula is a reminder that its force comes from convention, not from adding up what the words mean.
- 7A formal, fixed statement that sets out a point of religious doctrine in authorized words.
The council adopted a new formula to define the nature of the Trinity.
Converts affirmed the ancient formula before the congregation.
Similarcreed, credo, statement, confession
Note
In church usage the word names authorized wording, such as a creed a council adopts to settle doctrine. It can also mean the set prayers for a particular day. Liturgical books like the Missal of Constance carry formulae for Advent, Lent and the Sundays after Easter and Pentecost. These formulae resemble the conventional fixed phrase, but their fixed words carry authority rather than mere custom.
- 8A symbolic expression of a proposition, built from variables, quantifiers, logical connectives, and relation or operation symbols.
A well-formed formula must obey the syntax rules of the logical system.
The prover reduced each formula to a simpler equivalent.
Note
Logic treats the word as a matter of syntax rather than a rule, which sets it apart from the mathematical sense. Whether a formula is true is a separate question from whether it is correctly built, hence the term well-formed formula. Logics also differ in which symbols they admit. Modal, temporal, deontic or epistemic operators appear only in systems designed for them.
Practice
Can you tell the meanings of formula apart? Answer 3 quick questions from this page, or write your own sentence and AI will check it.
Origin
A learned borrowing from Latin fōrmula, meaning a small pattern or mold, a rule, principle, or method. It is the diminutive of forma ('a form').