1
[see also: circumstances, situation, condition] The number of distinct states a processor may be in is at most n.
2
[see also: assert, say] We have not required f to be......, and we will not do so
except when explicitly stated.
We end this section by stating without proof an analogue of......
In order to state these conditions succinctly, we introduce the following terminology.
The preceding proof contains a result which is interesting enough to be stated separately.
Stated informally, continuous functions of measurable functions are measurable.
Hence A has the stated continuity properties.
Part (b) follows from (a) on noting that A=B under the conditions stated.
Actually, [3, Theorem 2] does not apply exactly as stated, but its proof does.
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