#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## give

[*see also*: provide, offer, supply, furnish, afford, define, yield, imply, present, produce

The action of G is given by gf=......

The argument just given shows that......

This gives (1) and shows that......

We now give some applications of Theorem 3.

We give X the topology of uniform convergence on compact subsets of I.

Note that E can be given a complex structure by setting......

Suppose we are given an f of the form f=......

Given δ >0, we can find β such that......

This is certainly reasonable for Algorithm 3, given its simple loop
structure.

A function given on G gives rise to an invariant function on G'.

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