Abstract In this paper, we prove the existence of strong solutions to an stochastic differential equation with a generalized drift driven by multidimensional fractional Brownian motion for small Hurst parameters $$H&lt;\frac{1}{2}.$$ H &lt; 1 2 </m...

The Food Research and Action Center (FRAC) is pleased to re-launch FRAC Focus: Obesity and Poverty. This periodical e-newsletter focuses on obesity as it relates to lowincome children and adults, looking at the intersection of obesity, income, food insecurity, the federal nutrition programs, and federal food and nutrition policy. Each issue highlights relevant research and reports recently rele...

We investigated numerically an Ising model coupled to two-dimensional Euclidean gravity with spherical topology, using Regge calculus with the dl=l path-integral measure to discretize the gravita-tional interaction. Previous studies of this system with toroidal topol-ogy have shown that the critical behavior of the Ising model remains in the at-space Onsager universality class, contrary to the ...

The network calculus is a framework for the analysis of communication net-works, which exploits that many computer network models become tractablefor analysis if they are expressed in a min-plus or max-plus algebra. In amin-plus algebra, the network calculus characterizes amounts of traffic andavailable service as functions of time. In a max-plus algebra, the network cal-cul...

The harmonic index of a graph $G$, denoted by $H(G)$, is defined asthe sum of weights $2/[d(u)+d(v)]$ over all edges $uv$ of $G$, where$d(u)$ denotes the degree of a vertex $u$. Hu and Zhou [Y. Hu and X. Zhou, WSEAS Trans. Math. {bf 12} (2013) 716--726] proved that for any bicyclic graph $G$ of order $ngeq 4$, $H(G)le frac{n}{2}-frac{1}{15}$ and characterize all extremal bicyclic graphs.In this...

Using Maxwell’s mental imagery of a tube fluid motion an imaginary fluid, we derive his equations $\operatorname{curl} \mathbf{E} = -\frac{\partial \mathbf{B}}{\partial t}$, \mathbf{H} \frac{\partial \mathbf{D}}{\partial t} + \mathbf{j}$, $\operatorname{div} \mathbf{D} \varrho $, \mathbf{B} 0$, which together with the constituting relations $\mathbf{D} \varepsilon _0 \mathbf{E}$, $\mathbf{B} \m...

Benzene is a ubiquitous occupational hematotoxin and leukemogen, but people vary in their response to this toxic agent. To evaluate the impact of interindividual variation in enzymes that activate (i.e., CYP2E1) and detoxify (i.e., NQO1) benzene and its metabolites, we carried out a case control study in Shanghai, China, of occupational benzene poisoning (BP; i.e., hematotoxicity), which we sho...

We give an analogue of the classical exponential map on Lie groups for Hopf $*$-algebras with differential calculus. The major difference case is interpretation value map, classically element group. interpretations as states algebra, elements a Hilbert $C^{*} $-bimodule $\frac{1}{2}$ densities and dual algebra. examples complex valued functions $S_{3}$ $\mathbb{Z}$, Woronowicz's matrix quantum ...

Using 3.6- and 5.3-fs pulses, we demonstrated theoretically and experimentally that fringe-resolved autocorrelation (FRAC) traces are distorted by bandwidth limitations of the second-harmonic generation (SHG) in 10-microm-thick, type I ss-BaB2O4 for pulses shorter than sub-5 fs. In addition, detailed numerical analysis of the SHG showed that the optimum crystal angle where the FRAC trace distor...

Dibenzo(a,e)fluoranthene (DBF), a highly carcinogenic polycyclic hydrocarbon without an apparent K-region, binds covalently to DNA, transfer RNA, and polyribonucleotides when incubated with hepatic microsomal frac tions under standard conditions. Optimal binding condi tions for [3H]DBF were established. Methylcholanthrene-pretreated mouse liver microsomes induced a higher level of binding of [ ...