#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## bound

**1**

[*see also*: estimate] The above bound on a_{n} is close to
best possible <to the best possible>.

We conclude that, no matter what the class of b is, we have an
upper bound on M.

Kim announces that (by a tedious proof) the upper bound can be reduced to 10.

**2**

[*see also*: dominate, estimate] F is bounded above <below> by a constant times f(z).

Then G is bounded away from zero.

Furthermore, K is an upper bound on <for> f(x) for
x in K.

Theorem 1 can be used to bound the number of such T.

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