‎we consider two commutativity ratios $pr(g)$ and $f(g)$ in a finite group $g$‎ ‎and examine the properties of $g$ when these ratios are `large'‎. ‎we show that‎ ‎if $pr(g) > frac{7}{24}$‎, ‎then $g$ is metabelian and we give threshold‎ ‎results in the cases where $g$ is insoluble and $g'$ is nilpotent‎. ‎we also‎ ‎show that if $f(g) > frac{1}{2}$‎, ‎then $f(g) = frac{n+1}{2n}$‎, ‎for some‎ ‎na...

eight sites were sampled during seven rain events to quantify and identify the sources ofpolycyclic aromatic hydrocarbons in urban runoff in the city of tijuana, mexico. the total σ16 pahsconcentration rangedfrom 1113 to 4866 μg/lin the sampled sites and thetotal suspended solid concentrations ranged from 7725 to 4413 μg/l. the high concentrations of total suspended solids were probably the res...

suspended particles with aerodynamic diameters not greater than 2.5 μm (pm2.5) were sampledat the urban background, regional background and urban traffic points in southern poland. in total, 120 sampleswere collected between 2nd august 2009 and 27th december 2010. 16 polycyclic aromatic hydrocarbons (pahs)and organic carbon (oc) were determined in each sample. the samples were collected with a ...

Certain classes of applications are inherently capable of absorbing some error in computation, which allows for quality to be traded off for power. Such a tradeoff is often achieved through voltage over-scaling. We propose a novel multiplier architecture with tunable error characteristics, that leverages a modified inaccurate 2x2 multiplier as its building block. Our inaccurate multipliers achi...

This paper advances the theory and methodology of signal extraction by introducing asymptotic and finite sample formulas for optimal estimators of signals in nonstationary multivariate time series. Previous literature has considered only univariate or stationary models. However, in current practice and research, econometricians, macroeconomists, and policymakers often combine related series tha...