#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## means

[*see also*: application, use, via

This provides an effective means for computing the index.

By relatively straightforward means one can show that......

Then F and G are homotopic by means of a homotopy
H such that......

It is easy to see, by means of an example, that......

Find integral formulas by means of which
the coefficients c_{n} can be computed from f.

The difficulty is that it is by no means clear what one should mean by a
normal family.

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