Let $$F_{\infty }={{\mathbb {F}}_q}\left( \!\left( {1/T}\right) \!\right) $$ be the completion of $${\mathbb {F}}_q(T)$$ at 1/T. We develop a theory Fourier expansions for harmonic cochains on edges Bruhat–Tits building $${{\,\textrm{PGL}\,}}_r(F_{\infty })$$ , $$r\ge 2$$ generalizing an earlier construction Gekeler $$r=2$$ . then apply this to study modular units Drinfeld symmetric space $$\Om...

Formant trajectories have been shown to convey a great deal of speaker-specific information and their speaker-discriminatory potential has been quantified using Linear Discriminant Analysis on laboratory material [16]. This study tests the applicability of LDA on three sets of real-case forensic recordings. Given the limitations of LDA, we used the actual formant trajectory values (F1–F3) and c...

In this paper a novel approach to performing classification is presented. Discriminant functions are constructed by combining selected features from the feature set with simple mathematical functions such as +; ; ; ; max; min. These discriminant functions are capable of forming nonlinear discontinuous hypersurfaces . For multimodal data more than one discriminant function may be combined with l...

Understanding the performance and role of each formation in a petroleum play is crucial for the efficient and precise exploration and exploitation of trapped hydrocarbons in a sedimentary basin. The Lorestan basin is one of the most important hydrocarbon basins of Iran, and it includes various oil-prone potential source rocks and reservoir rocks. Previous geochemical studies of the basin were n...

Tests of hepatic function do not correlate highly and this, together with their skew distribution, makes the information provided by them difficult to interpret. By means of an appropriate transformation it is possible to normalise their distributions so that the information from them can be combined in the form of a discriminant function which is not only easy to interpret but gives an index o...

We introduce a new approach for shift-, scale-, and projection-invariant pattern recognition that combines the harmonic expansion and the synthetic discriminant function approaches by use of a synthetic discriminant function filter with equal-order one-dimensional logarithmic harmonic components. Because projection invariance in one direction is guaranteed by the harmonics, the required number ...

Most California community colleges collect copious amounts of data on entering students, most often through the assessment process. However, many times, the data are underutilized: only a few of the data elements captured are used for assessment purposes and the data are not used outside of placement. I have made several attempts to utilize the data, including an attempt to identify variables t...

In this paper we consider wavelet-based binary linear classifiers. Both consistency results and implementational issues are addressed. We show that under mild assumptions on the design density wavelet discrimination rules are L2-consistent. The proposed method is illustrated on synthetic data sets in which the “truth” is known and on an applied discrimination problem from the industrial field.