let $g$ be a finite group‎. ‎we say that $g$ has emph{spread} r if for any set of distinct non-trivial elements of $g$ $x:={x_1,ldots‎, ‎x_r}subset g^{#}$ there exists an element $yin g$ with the property that $langle x_i,yrangle=g$ for every $1leq ileq r$‎. ‎we say $g$ has emph{exact spread} $r$ if $g$ has spread $r$ but not $r+1$‎. ‎the spreads of finite simple groups and their decorations ha...

Dengue fever is a tropical, mosquito-borne disease, currently with no vaccine. We require greater understanding of how its spatial distribution evolves over time, in order to inform policies aiming to prevent epidemics. This report uses data on weekly dengue fever cases recorded in 79 provinces of Peru to form a time-dependent network representing time-dependent correlations between time series...

Using the Bethe ansatz we obtain in a determinant form the exact solution of the master equation for the conditional probabilities of the totally asymmetric exclusion process with particle-dependent hopping rates on Z. From this we derive a determinant expression for the timeintegrated current for a step-function initial state.

To investigate the spread of contraction in the rabbit ear artery, changes in segment diameter were measured after local stimulation. No spread of contraction was produced by direct current or local application of norepinephrine (NE). Repetitive electrical stimulation caused contraction which spread far from the point of excitation. Since 2 x 10(-7) g/ml tetrodotoxin (TTX) or 10(-5) M phentolam...

In this paper, an experimental characterization of a MIMO underground channel is presented. A simple statistical model is proposed at 2.45 GHz. The channel is characterized in terms of path loss, shadowing, RMS delay spread, and capacity. The measurements are carried out in an underground mine, which is a harsh confined environment. The path loss model is extracted from measured data for the li...