"unless stated otherwise" or "unless otherwise stated"?

1. Convention: R^n is always assumed to carry the Euclidean topology, unless stated otherwise.
2. Convention: R^n is always assumed to carry the Euclidean topology, unless otherwise stated.

Which sentence is (more) correct?

Solution 1:

Both are all right, but from the following Google Ngram the phrase unless otherwise stated is preferred overall:

You could, however, just choose to use whichever sounds more natural. Although one is more used, if you are writing and want to use a phrase, use it if it matches your narrative voice. Both are okay because, in English, the adverb can go before or after the verb. The exact placement varies by sentence.

Solution 2:

If you don't see how the second one works, maybe think of otherwise as the adverb in the sentence. If you were to say "She spoke calmly", it would also make sense to say "she calmly spoke". That's how I see it anyway.