#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## within

[*see also*: inside, up to

The point p is within distance d <within a distance d>
of X.

Then F is within d of the integers.

The zeros of L-functions are all accurate to within 10^{-5}.

Note that f is determined only to within a set of measure zero.

Each component that meets X lies entirely within X.

Within I, the function f varies by less than 1.

This example falls within the scope of Cox's theorem.

a sequence of smooth domains that approximates D from within

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