A Luigi "There are more things in heaven and eart, Horatio, than are dreamt of your phylosophy". . . William Shakespeare (Hamlet, scene V) classes, and so on. However, a comparison of the results is the main way we have for test-v ing the methods or distances: contingent mathematical equalities (proved on markov sequences or assumption of gaussian distributions), do not automatically imply an equivalence in the real experimental results. The protein sequences, indeed, are not markov sequences

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... r variables with gaussian distribution, so in the real case the try and see approach is the real test.