#### Mathematical English Usage - a Dictionary

##### 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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