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So if you come across a nath course that is n't your favorite , but there are others that you really like , it just means that you are getting to know math better and your taste is becoming more refined . You should not take the sizes on this map too seriously - - they have more to do with fitting in names than anything else . Formal power series in the perturbation parameter can be writtenfor the invariant tori of Hamiltonian systems close to integrable ones.Convergence can be proved only in special cases ( KAM theory or periodicmotions ) : more generally the series have to be summed with suitablesummation rules obtaining nevertheless nontrivial analyticity properties in the ( small ) perturbation parameter . Philip 's shyness immediately made him write to say that he could not leave till a day or two afterwards . My current plans are to pursue a degree in biomedical engineering . He gave Philip Newman 's _ Apologia _ to read , and Philip , finding it very dull , nevertheless read it to the end . The words seemed to stick funnily in his throat , but he asked them nevertheless .