Beginning with Hermite’s integral representation of the Hurwitz zeta function, we derive explicit expressions in terms of elementary, polygamma, and negapolygamma functions for several families of integrals of the type ∫∞ 0 f(t)K(q, t)dt with kernels K(q, t) equal to ( e2πqt − 1 )−1 , ( e2πqt + 1 )−1 , and (sinh(2πqt))−1.

Because pressure is determined globally for the incompressible Euler equations, a localized change to the initial velocity will have an immediate effect throughout space. For solutions to be physically meaningful, one would expect such effects to decrease with distance from the localized change, giving the solutions a type of stability. Indeed, this is the case for solutions having spatial deca...

We study a competitive supply marketplace where multiple suppliers offer a single nondifferentiated product to multiple buyers. Within this multi-supplier, multi-buyer marketplace, each buyer chooses the supply partner that serves the buyer’s order profile, described by his order size and delivery frequency, with the best price. Suppliers differ from each other in terms of their logistic cost s...

Motivated by a promotion to increase the number of musical downloads, we introduce the concept of C-incentive and show an algorithm that compute the smallest C-incentive containing a subset X ⊆ N. On the other hand, in order to study C-incentives, we see that we can focus on numerical C-incentives. Then, we establish that the set formed by all numerical C-incentives is a Frobenius pseudo-variet...

It has been argued that personality features, such as temperament or traits, possess a certain level of developmental stability (Thomson, Winer & Goodwin, 2011). In this review, attempts are made to explain why temperament may, or may not, remain stable over time by addressing the influence of genetic, environmental and cultural factors on temperament and the interaction between such influences...

in this study, functional properties of red bean, chickpea, lentil and canellini bean were evaluated. our results revealed that beans had the highest emulsifying capacity. this property was minimum at the isoelectric point (about 4) among all samples which is in concistent with their solubility curves. salt concentration of 0.5 m did not have a significant influence on emulsifying capacity but ...

Abstract In order to model the tail of a distribution, one has to define the threshold above or below which an extreme value model produces a suitable fit. Parameter stability plots, whereby one plots maximum likelihood estimates of supposedly threshold-independent parameters against threshold, form one of the main tools for threshold selection by practitioners, principally due to their simplic...

We present a uniform L-stability estimate for mild solutions to the Fokker-Planck-Boltzmann equation. For stability estimate, we derive a Gronwall type estimate using dispersion estimates for mild solutions due to the hypoelliptic structure of the Vlasov-Fokker-Planck operator.

Light-induced forces can bind dielectric spheres into extended structures through two mechanisms, each with its own length scale which can be adjusted by the configuration of the external light source. By manipulating the commensurability of the two length scales, these two mechanisms can cooperate to bind a large number of spheres. When the two length scales become incommensurate for some part...