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]
......, 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
PDE's = PDEs
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