in this paper we study triangularization of collections of matrices whose entries come from a finite-dimensional division ring. first, we give a generalization of guralnick's theorem to the case of finite-dimensional division rings and then we show that in this case the reduced trace function is a suitable alternative for trace function by presenting two triangularization results. the firs...

When a causal variable and its presumed effect are measured at two time points in a cohort study, most researchers prefer to fit some type of a change model. Many of them believe that such an analysis is superior to a cross-sectional analysis because change models estimate “the effect of change on change”, which sounds epistemologically stronger than “a cross-sectional association”. In this art...

The Allergen Bureau was established in 2005 and is funded by membership from the Australian and New Zealand food industry. The industry developed Guide to Allergen Management and Labelling is a resource to ensure consistency in manufacturing practices and labelling. VITAL (Voluntary Incidental Trace Allergen Labelling) is a risk tool that was developed against a regulatory background where the ...

In this paper we present some results of the ongoing research aimed at studying the limitations attached to the increase in transmission line (TL) density for the high speed interconnects at the board, multi-chip module and on-chip integration levels. For any interconnect solution the important quality in the frequency band of interest is the signal to noise ratio obtainable, where noise could ...

Recent investigations of sentence processing have used the cross-modal lexical decision task to show that the antecedent of a phonologically empty noun phrase (specifically, WH-trace) is reactivated at the trace position. G. McKoon, R. Ratcliff, and G. Ward (1994) claimed that (a) a design feature concerning the choice of related and unrelated targets is a possible confound in this work and (b)...

High-accuracy spectral-slit-function calibration measurements, in situ ambient absorption gas cell measurements for ozone and nitrogen dioxide, and ground-based zenith sky measurements with the Earth Observing System Aura Ozone Monitoring Instrument (OMI) flight instrument are reported and the results discussed. For use of high-spectral-resolution gas absorption cross sections from the literatu...

We have studied the e+e− → Zφi → Zbb̄ process, where φi is the Higgs and/or radion bosons. In the case where the radion is lighter than the Higgs, the enhanced coupling between the radion and two gluons due to the trace anomaly suppresses the cross section of radion production with respect to that calculated by assuming that the resonant peak indicates the SM Higgs. If the radion is highly degen...

Since its introduction by Stone (1974) and Geisser (1975), cross-validation has been studied and improved by several authors including Burman et al. the most widely used and best known is generalized cross-validation (GCV) (Craven & Wahba, 1979), which establishes a single-pass method that penalizes the fit by the trace of the smoother matrix assuming independent errors. We propose an extension...