#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## run

The rest of the proof runs as before.

Although these proofs run along similar lines, there are subtle adjustments
necessary to fit the argument to each new situation.

As t runs from 0 to 1, the point f(t) runs through the interval [a,b].

The problem one runs into, however, is that f need not be smooth.

But this obvious attack runs into a serious difficulty.

But if we argue as in (5), we run into the integral......, which is meaningless as it stands.

......where E runs over <runs through> the family B.

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