The excess mass approach is a general approach to statistical analysis. It can be used to formulate a probabilistic model for clustering and can be applied to the analysis of multi-modality. Intuitively, a mode is present where an excess of probability mass is concentrated. This intuitive idea can be formalized directly by means of the excess mass functional. There is no need for intervening st...

We obtain an inequality on a measure of the spread in time of periodic functions that are concentrated in frequency, i.e. all but a fixed finite number of Fourier coefficients vanish with meansquared error up to . We characterize an extremal function and give an asymptotic formula for the measure of spread of this extremal function as approaches 0. We also consider the corresponding problem for...

A mathematical model of capillary oxygen transport was formulated to determine the effect of increasing plasma solubility, e.g., by the addition of an intravascular fluorocarbon emulsion. The effect of increased plasma solubility is studied for two distributions of fluorocarbon, when the fluorocarbon droplets are uniformly distributed throughout the plasma and when the fluorocarbon droplets are...

Two major salvinorins, salvinorin A (SalA) and salvinorin B (SalB), in three Salvia divinorum dried leaf products and nine of its "concentrated extract" products circulated in Japan were determined. These ingredients were extracted twice with acetonitrile and decolored with graphite carbon powder. SalA and SalB were confirmed by liquid chromatography-tandem mass spectrometry in product ion scan...

regarding many disadvantages of traditional method to produce concentrated yoghurt, several attempts have been done for mechanization of process in industrial scale. using membrane systems especially ultra filtration is one of these methods. in this survey, method to produce direct concentrated yoghurt, fresh milk was concentrated to 19% snf by ultra filtration method then diluted to 13 and 16 ...