[see also: apart from, besides
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 .
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.
The trivial cases when the family consists of only one set are excepted.