#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## difficulty

[*see also*: complication, problem, trouble

We now indicate how that difficulty can be circumvented.

To get around <overcome> this difficulty, assume......

The proof of Theorem 6 bypasses this difficulty.

We now indicate some of the inherent difficulties.

But this obvious attack runs into a serious difficulty.

The analogue of Theorem 1 presents no difficulty.

The difficulty disappears entirely if......

The only difficulty is in showing that......

As M is ordered, we have no difficulty in assigning a meaning to (a,b).

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

The difficulty consists in generalizing (b).

Some such difficulty is to be expected.

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