#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## except

[*see also*: apart from, besides

**1**

for all n except a finite number

for no x except the unique solution of......

[Note the difference between * besides*, * except* and
* apart from*: * besides* usually “adds'' something, * except*
“subtracts'', and * apart from* can be used in both senses; after
* no*, * nothing* etc., all three can be used.]

Then G is differentiable except for a jump at x=0.

Except for these two lemmas, we make no use of
the results of [4].

That is---except the use of relaxed
controls---precisely the stochastic Bellman equation.

Then F is invertible except possibly on an at most countable set.

Thus, F is invertible except where <at> x=0.

Hence F is invertible except at countably many points.

The desingularization of f is X except when Q and Q' have a common factor,
in which case......

We have not required f to be......, and we shall not do so except when
explicitly stated.

The assumptions of Section 3 are still in force except that for greater
generality we do not assume f to be continuous.

**2**

The trivial cases when the family consists of only one set are
excepted.

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