In this article we build a linear representation starting from multigraph; allows us to give an algebraic view of the multigraph are studying. We show that two isomorphic multigraphs equivalent representations; conversely representations multigraphs. For clarity at beginning, classical results on representations, nevertheless these specific our graph representation.

We prove that both stated skein algebras and their reduced versions at odd roots of unity are almost-Azumaya compute the rank a algebra over its center, extending theorem Frohman, Kania-Bartoszynska Lê to case open punctured surfaces. deduce generic irreducible representations quantum Teichmüller type and, conversely, irreducible.

Abstract We show that Steklov eigenfunctions in a bounded Lipschitz domain have wavelength dense nodal sets near the boundary, contrast to what can happen deep inside domain. Conversely, 2D $\Omega $, we prove any of eigenfunction contains half-ball centered at $\partial \Omega $ radius $c_{\Omega }/{\lambda }$.

Eight scenarios of fresh tomato supply to urban citizens were analysed using a Life Cycle Analysis (LCA) approach. Two the corresponded unheated greenhouses and long distance transportation final consumer; four zero-miles agriculture in rural environment, including heated greenhouses, open-field production; another two Urban Agriculture (UA). The objective was compare environmental impacts prod...

Many molecules induce the ectopic expression of tissue-specific genes in Xenopus embryos. Conversely, interfering with their activity disrupts patterns of gene expression, implicating them in normal development. Does this mean that they control cell fate (i.e. position, as well as differentiation)? Xsox17alpha and beta can induce ectopic expression of endodermal markers; inhibiting their functi...

We explore from both theoretical and empirical perspectives the hypothesis that a significant part of the worldwide variability in human birthweight results from adaptive responses to local selective pressures. We first developed an agent-based model to simulate the process of evolutionary selection on life history strategy, and then we performed a comparative analysis across 89 countries world...

Most people in the world speak more than one language, making bilingualism the norm rather than the exception. Furthermore, speakers generally also move their hands – they gesture – in coordination with speech and language in nontrivial ways. Bilingualism and multimodality should thus be on research agendas focused on the nature of linguistic systems and language use in context, yet they are of...

In isolated mitochondria the consequences of oxidative phosphorylation uncoupling are well defined, whereas in intact cells various effects have been described. Uncoupling liver cells with 2,4-dinitrophenol (DNP) in the presence of dihydroxyacetone (DHA) and ethanol results in a marked decrease in mitochondrial transmembrane electrical potential (DeltaPsi), ATP/ADP ratios and gluconeogenesis (a...

The transcription factor ISL1 is thought to be key for conveying the multipotent and proliferative properties of cardiac precursor cells. Here, we investigate its function upon cardiac induction of human embryonic stem cells. We find that ISL1 does not stabilize the transient cardiac precursor cell state but rather serves to accelerate cardiomyocyte differentiation. Conversely, ISL1 depletion d...