Mathematical English Usage - a Dictionary

by Jerzy Trzeciak


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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