Application of Tauberian Theorem to the Exponential Decay of the Tail Probability of a Random Variable

We give a sufficient condition for the exponential decay of the tail probability of a non-negative random variable. We consider the Laplace-Stieltjes transform of the probability distribution function of the random variable. We present a theorem, according to which if the abscissa of convergence of the LS transform is negative finite and the real point on the axis of convergence is a pole of the LS transform, then the tail probability decays exponentially. For the proof of the theorem, we extend and apply so-called a finite form of Ikehara's complex Tauberian theorem by Graham-Vaaler.Comment: 22pages, 1 figure, submitted to IEEE Transactions on Information Theor

Contributions of heterotrophic and autotrophic prey to the diet of euphausiid, Euphausia pacifica in the coastal waters off northeastern Japan

The contributions of heterotrophic and autotrophic prey to the diet of Euphausia pacifica were examined in coastal waters off northeastern Japan in May and October 1999. The autotrophic contribution was estimated from gut pigment contents, and the heterotrophic contribution from the volume of each taxonomic group in the stomach. Our observations suggest that heterotrophic prey, especially copepods, were more important than autotrophic prey in both seasons. The contributions of heterotrophic prey items in adult E. pacifica ranged from 57-79% in May and from 27-93% of the total ingested carbon in October. The contribution of copepods was largest, ranging from 54-77% in May and from 27-93% in October. We discuss the contribution of athecate ciliates, another possible heterotrophic prey of importance, to the diet of E. pacifica

Numerical Investigation on Effects of a Diversion Channel along a Meandering River Based on a 2D Model

Source: ICHE Conference Archive - https://mdi-de.baw.de/icheArchiv

Physical gelation by amides derived from trans-1, 2-diaminocyclohexane and their tetrasiloxane-based gelators

Four compounds were prepared from trans-1,2-diaminocyclohexane and were subsequently studied as gelators. These two compounds were chiral trans-(1R,2R)-1-(2-heptylundecanoylamino)-2-(10-undecenoylamino) cyclohexane and the corresponding racemate. The other two compounds were 1,1,3,3,5,5,7,7-octamethyltetrasiloxane-containing chiral and racemic compounds prepared by a hydrosilylation reaction. Their gelation abilities were evaluated on the basis of the minimum gel concentration, using seven solvents. The thermal stability and transparency of the gels were investigated by UV-vis spectroscopy using three-component mixed solvents of hexadecyl 2-ethylhexanoate, liquid paraffin, and decamethylcyclopentasiloxane (66 combinations). The gel-to-sol phase-transition temperatures were also studied. The viscoelastic behavior of the gels was studied by rheology measurements in the strain sweep mode. Aggregates consisting of three-dimensional networks were studied by transmission electron microscopy. Circular dichroism spectroscopy was performed to verify the existence of helical aggregates in the gel.ArticlePOLYMER JOURNAL.49(5):439-447(2017)journal articl

Study on Impact Force of Debris Flow due to Variable of Check Dam Shape

Impact often causes structural destruction and is the key element in engineering design and risk assessment. Nature of the debris flow characteristics are the front part of the flow, where big boulders accumulate, lasts only a few seconds and the following part that lasts long looks like a mud flow with gradually decreasing discharge. Besides, boulder impact force is much greater than fluid dynamic pressure. Therefore, it is necessary to make sure that the structure is affordable of boulder impact force. In this study, an attempt has been made to clarify the impact of grain size distribution on check dam and variable of check dam type with experimental methods