#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## 's

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.*]

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