Mathematical English Usage - a Glossary

by Jerzy Trzeciak

involve

[see also: entail, necessitate, require]

Our proof involves looking at......

This involves no loss of generality.

The analysis of PDO involves the geometry of T*M.

The terms involving a≠ 1 contribute O(n), since......

A computational restraint is the algebraic number theory involved in finding these ranks, which will typically be more demanding than in our example of Section 1.

The crucial set-theoretic properties involved are the following. [Note the position of involved; placed before properties, it would mean “complicated''.]


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