Over-fitting the data can result if more than the optimal number of factors is employed, as these superfluous factors attempt to explain random noise in the spectra.
Watanabe looks confused, which allows DiCaprio to explain the superfluous intricacies of the plot to the audience.
In a number of influential articles, the American philosopher Jaegwon Kim argued for an "exclusion principle" according to which, if a functional property is in fact different from the physical properties that are causally sufficient to explain everything that happens, then it is superfluous, just as are the epiphenomenal angels that push around the planets.
As for myself, I believe it is superfluous to distress the mind so much and invoke accidental and extrinsic causes to explain a fact that we can judge to depend upon a general and constant law.
Thus Schopenhauer complains that "Pantheism is only a euphemism for atheism," for "to call the world God is not to explain it; it is only to enrich our language with a superfluous synonym for the word world" (Schopenhauer 1851, I:114, II:99).
Initially there was a text that went with it, to explain why they were being worn, although this was later dropped because it became superfluous.
Ockham had claimed that it was superfluous to posit quantitative forms really distinct from substance and quality, since quantity presupposes what it is intended to explain, i.e., the extension of material substances and their having parts outside parts.
On the contrary, Ockham had claimed that it was superfluous to posit quantitative forms really distinct from substance and quality, since quantity presupposes what it is intended to explain, that is, the extension of material substances and their having parts outside parts.
This may help to explain why written English has not evolved an orthographic system to represent intonation and the tonic foot; they are functionally superfluous.
