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formulae

/ˈfɔːmjʊliː/ noun · Primarily British; US English strongly prefers 'formulas'
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What does formulae mean?

'Formulae' is the classical plural of 'formula', denoting fixed expressions or rules — most commonly sets of mathematical or chemical symbols that state a relationship precisely, such as equations used across science and engineering. The word also extends to prescribed procedures or set forms: a recipe for success, a stock phrase, or an established method can each be called a formula, and several such cases are formulae. The choice between 'formulae' and the anglicized 'formulas' is largely regional and stylistic: British academic writing retains the Latin-form plural, while American English almost always uses 'formulas'. The word carries connotations of rigour, exactness, and sometimes sterile conventionality — a 'formulaic' approach being one that follows rules mechanically. Knowing both plural forms helps readers navigate scientific texts on either side of the Atlantic without stumbling over what is simply a matter of tradition rather than correctness.

noun

The plural of 'formula': a fixed, general expression, rule, or set of symbols expressing a mathematical or scientific relationship, or a prescribed method for achieving something. 'Formulae' is the Latin-style plural preferred in British academic writing.

Senses
  1. As the plural of 'formula': fixed symbolic expressions stating relationships in mathematics, chemistry, or physics (the dominant sense).
  2. Plural of 'formula' in a broader sense: prescribed methods, recipes, or set forms of words or procedure.
Example

"The students memorised the key mathematical formulae before the examination."

More examples

"Chemistry students must learn to balance chemical formulae accurately."

"The committee rejected the proposal as mere formulae without substance."

Plural formulae (also formulas)

'Formulae' is the Latin-derived plural, standard in British English and scientific contexts; 'formulas' is the anglicized plural, dominant in American English. Both are acceptable.

Example

"She committed all the integration formulae to memory before the exam."

Did you know?

British scientists still write their plurals in Latin: where Americans say 'formulas', Britons say 'formulae' — a living echo of when scholars wrote everything in Rome's language.

Reviewed by Deb Chak, Editor. AI-assisted content curated by RJS Tech Solutions LLP.

Etymology of formulae

'Formulae' derives ultimately from the Latin 'forma', meaning shape or figure, through the diminutive 'formula', a small form or rule. In Latin, 'formulae' was already its plural, so English borrowed the plural form intact from scholarly Latin during the seventeenth century, when the singular 'formula' entered scientific vocabulary. Because the word retained its Latin morphology, the plural 'formulae' persisted alongside the naturalized English plural 'formulas', which became dominant in American usage while British scientific writing preserved the classical form.

Related word forms

How formulae is actually used

Both 'formulae' and 'formulas' are correct plurals of 'formula'; 'formulae' is traditional and remains standard in British English, particularly in scientific and mathematical contexts, while American usage overwhelmingly favours 'formulas'. The word is formal in register and carries connotations of precision and technical authority.

Easily confused with formulae

formulas

'Formulas' is the anglicized plural of 'formula', dominant in American English and general usage, while 'formulae' is the classical Latin-style plural favoured in British and scientific writing.

What's another word for formulae?

Words and phrases paired with formulae

chemical formulaemathematical formulaeapply the formulaestandard formulae

Rhymes with formulae