Mathematical English Usage - a Dictionary

by Jerzy Trzeciak


Here is a more explicit statement of what the theorem asserts.

What the theorem is saying in substance is that......

This theorem accounts for the term “subharmonic”.

Theorem 2 will form the basis for our subsequent results. [Not: “The Theorem 2”]

In particular, the theorem applies to weakly confluent maps.

Finally, case (E) is completed by again invoking Theorem 1.

At this stage we appeal to Theorem 2 to deduce that......

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.

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