Based on formant measurements of more than 10000 vowels from 16 German speakers, vowel quality di erences between the speakers have been analyzed. The main result of this investigation is that di erent speakers show not only di erent formant values (as one would expect due to individual di erences), but exhibit di erent arrangements in their vowel systems. These di erences are demonstrated by e...

We develop a dimension theory for D-semianalytic sets over an arbitrary non-Archimedean complete field. Our main results are the equivalence of several notions of dimension and a theorem on additivity of dimensions of projections and fibers in characteristic 0. We also prove a parameterized version of normalization for D-semianalytic