Mathematical English Usage - a Glossary

by Jerzy Trzeciak

consist

[see also: comprise, contain, lie]

The proof consists in the construction of...... [= The main part of the proof is]

The difficulty consists in generalizing (b).

The proof proper [= The actual proof] will consist of establishing the following statements in sequence.

This group consists of the elements of GL(n) of determinant 1. [= is made up of]

We define the set T to consist of those f for which......

Let R consist of all z=x+iy such that |x|<1.

But M does not consist of 0 alone.


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