Mathematical English Usage - a Dictionary

by Jerzy Trzeciak


Unlike Bell's method, Hall's does not use transfinite induction.

To show the greater simplicity of our method over Brown's, let us......

Hörmander's theorem [without “the”] = the Hörmander theorem

a theorem of Hörmander's [= one of Hörmander's theorems]

But we have......, which, by another theorem of Kimney's, is more than enough to guarantee that P gives A outer measure 1.

Gauss's remarkable theorem on...... = the remarkable theorem of Gauss on......

[Adding 's is recommended even after names ending in s, z or x, except ancient ones: Pythagoras' theorem; however, the forms like Jones' theorem are also correct.]

Fefferman and Stein's theorem = the Fefferman--Stein theorem

[In the plural of abbreviations and numerals, the apostrophe is best omitted: five 1s, PDEs, in the 1980s. However, it should sometimes be used to avoid confusion: There are three i's in row k.]

Back to main page