It is well established that the noise correlations measured by time-of-flight imaging in cold-atom experiments, which correspond to density-density momentum space of trapped atomic gases, can probe spin structure factor deep Mott-insulating regime SU(2) Hubbard models. We explicitly derive mathematical relation between and strong-interaction limit SU$(N)$ models at any integer filling $\rho$. B...

The Hedgehog (HH) pathway has been linked to the formation of basal cell carcinoma (BCC), medulloblastoma, and other cancers. The recently approved orally active drugs vismodegib (GDC-0449) and sonidegib (LDE-225) were not only efficacious for the treatment of advanced or metastatic BCC by antagonizing the smoothened (SMO) receptor, but also produced important side effects, limiting their use f...

A vehicular road traffic noise prediction methodology based on machine learning techniques has been presented. The parameters that have considered are volume, percentage of heavy vehicles, honking occurrences and the equivalent continuous sound pressure level. Leq method to include effect in illustrated. used for decision trees, random forests, generalized linear models artificial neural networ...

in a previous paper, the second author established that, given finite fields $f < e$ and certain subgroups $c leq e^times$, there is a galois connection between the intermediate field lattice ${l mid f leq l leq e}$ and $c$'s subgroup lattice. based on the galois connection, the paper then calculated the irreducible, complex character degrees of the semi-direct product $c rtimes {rm gal} (e/f)$...

let $m$ be an $r$-module and $0 neq fin m^*={rm hom}(m,r)$. we associate an undirected graph $gf$ to $m$ in which non-zero elements $x$ and $y$ of $m$ are adjacent provided that $xf(y)=0$ or $yf(x)=0$. weobserve that over a commutative ring $r$, $gf$ is connected anddiam$(gf)leq 3$. moreover, if $gamma (m)$ contains a cycle,then $mbox{gr}(gf)leq 4$. furthermore if $|gf|geq 1$, then$gf$ is finit...

Over the last few years, several works have been conducted on design and development of wireless acoustic sensor networks (WASNs) to monitor noise levels create maps. The information provided by these WASNs is based equivalent pressure level over time T (Leq,T), which used assess objective level. According some authors, annoyance an inherently vague uncertain concept, Leq,T does not provide any...

Let $k$ be a fixed integer. We determine the complexity of finding a $p$-partition $(V_1, \dots, V_p)$ of the vertex set of a given digraph such that the maximum out-degree of each of the digraphs induced by $V_i$, ($1\leq i\leq p$) is at least $k$ smaller than the maximum out-degree of $D$. We show that this problem is polynomial-time solvable when $p\geq 2k$ and ${\cal NP}$-complete otherwise...