When teaching advanced undergraduates, I often illustrate Euler's continued fraction formula with a simple example to show how a finite sum of products can be written as a continued fraction.

When computing the nth derivative of a composite function, Faà di Bruno's formula provides a systematic way to organize the terms.

Researchers implemented the Bailey-Borwein-Plouffe formula to extract the millionth hexadecimal digit of pi without computing all the preceding digits.

When evaluating definite integrals numerically, many textbooks compare the accuracy of various Newton-Cotes formulas on smooth test functions.

Graduate students practice deriving consequences from well-formed formulas in formal logic courses.

Researchers debated the formulability of the new theoretical model before attempting to formalize it.

Although the theory was complex, its core principles remained formulable.

During stability testing, the formulant—an apparently inert ingredient—caused a discoloration in the final product.