Mathematical English Usage - a Glossary

by Jerzy Trzeciak

to

The following lemma, crucial to Theorem 2, is also implicit in [4].

Knowing this matrix is equivalent to knowing the multiplicities of the li.

Essential to the proof are certain topological properties of G.

We will see later that the values of h(n) for large n are irrelevant to the problem.

We can join a to b by a path π. [Not: “join a with b'']

Let E be Cantor's familiar middle thirds set. Exercises 2 to 5 [= Exercises 2--5; amer. Exercises 2 through 5]

To deal with (3), consider......

We now apply (2) to get Nf=0.

To see that f=g is fairly easy.


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