By implementing Bellard's formula, she was able to compute the millionth binary digit of pi directly.

To solve the geometry problem, she carefully applied the distance formula to find the separation between the two points.

She explained how to apply the quadratic formula during the algebra review.

Euler's formula elegantly expresses e^{iθ} as cos θ + i sin θ, revealing the deep connection between complex exponentials and trigonometric functions.

In the lab report, the students compared the experimentally determined empirical formulae of several metal oxides.

The geometry teacher explained how to apply the sine formula to find the unknown side of an oblique triangle.

To find the remaining side of the triangle, we applied the cosine formula and checked the result twice.

Before performing stoichiometric calculations, the chemist identified the formula unit of the crystalline salt and used it to determine the amount of each element required.

In first-order logic, proving that a closed formula is valid requires showing that it is true under every interpretation.

The paleontologist used the dental formula to compare the fossil's teeth with those of modern mammals.