Flip invariance for domino tilings of three-dimensional regions with two floors

We investigate tilings of cubiculated regions with two simply connected floors by 2 x 1 x 1 bricks. More precisely, we study the flip connected component for such tilings, and provide an algebraic invariant that "almost" characterizes the flip connected components of such regions, in a sense that we discuss in the paper. We also introduce a new local move, the trit, which, together with the flip, connects the space of domino tilings when the two floors are identical.Comment: 33 pages, 34 figures, 2 tables. We updated the reference lis

Domino tilings of three-dimensional regions: flips, trits and twists

In this paper, we consider domino tilings of regions of the form $\mathcal{D} \times [0,n]$, where $\mathcal{D}$ is a simply connected planar region and $n \in \mathbb{N}$. It turns out that, in nontrivial examples, the set of such tilings is not connected by flips, i.e., the local move performed by removing two adjacent dominoes and placing them back in another position. We define an algebraic invariant, the twist, which partially characterizes the connected components by flips of the space of tilings of such a region. Another local move, the trit, consists of removing three adjacent dominoes, no two of them parallel, and placing them back in the only other possible position: performing a trit alters the twist by $\pm 1$. We give a simple combinatorial formula for the twist, as well as an interpretation via knot theory. We prove several results about the twist, such as the fact that it is an integer and that it has additive properties for suitable decompositions of a region.Comment: 38 pages, 17 figures. Most of this material is also covered in the first author's Ph.D. thesis (arXiv:1503.04617

SPATIO-TEMPORAL IMPACT OF SOCIO-ECONOMIC PRACTICES ON LAND USE/ COVER IN THE KASSO CATCHMENT, BALE MOUNTAINS, ETHIOPIA

This study aims to identify the driving forces and implications of the temporal and spatial dynamics of land use and land cover in the Kasso catchment, Bale Mountains (Southeastern Ethiopia). Aerial photographs (1965 and 1973) and satellite image (SPOT5 2007) were interpreted and analyzed using GIS tools. Socio-economic surveys, focus group discussions, and field observations were also used to determine the causes and effects of these land use and land cover dynamics. It was found that agriculture and settlement land had increased by 24%, whereas natural forest, woodland, bush land, and grassland declined by 80.74%, 68.08%, 63.02% and 17.65%, respectively. Agricultural expansion and population growth were the two major driving forces behind the land use and land cover dynamics. Environmental and local livelihood implications included forest cover degradation, soil erosion and fertility decline, stream volume and livestock size decline, and scarcity of firewood and construction materials. These in turn contributed to food insecurity, particularly in some low-income households, as well as hindering the sustainable livelihoods of the study area in general. Therefore, we suggest that there is a need to protect the fragile environment, and to adapt and implement sustainable land management practice to promote sustainable livelihood in the area

Plasma extravasation mediated by lipopolysaccharide-induction of kinin B1 receptors in rat tissues.

The present study was performed to: (a) evaluate the effects of kinin B1 (Sar[D-Phe8]-des-Arg9-BK; 10 nmol/kg) and B2 (bradykinin (BK); 10 nmol/kg) receptor agonists on plasma extravasation in selected rat tissues; (b) determine the contribution of a lipopolysaccharide (LPS) (100 microg/kg) to the effects triggered by B1 and B2 agonists; and (c) characterize the selectivity of B1 ([Leu8]desArg9-BK; 10 nmol/kg) and B2 (HOE 140; 10 nmol/kg) antagonists as inhibitors of this kinin-induced phenomenon. B1 and B2 agonists were shown to increase plasma extravasation in the duodenum, ileum and also in the urinary bladder of the rat. LPS pretreatment enhanced the plasma extravasation mediated only by the B1 agonist in the duodenum, ileum, trachea, main and segmentar bronchi. These effects were prevented by the B1. but not the B2 antagonist. In normal rats, the B2 antagonist inhibited the effect of B2 agonist in all the tissues analyzed. However, in LPS-treated rats, the B2 antagonist was ineffective in the urinary bladder. These results indicate that kinins induce plasma extravasation in selected rat tissues through activation of B1 and B2 receptors, and that LPS selectively enhances the kinin effect on the B1 receptor in the duodenum, ileum, trachea and main and segmentar bronchi, and may increase B1 receptor expression in these tissues

Interactive technologies in stroke recovery : uncovering challenges and opportunities through physiotherapist’s perspective

Abstract in proceedings of the Fourth International Congress of CiiEM: Health, Well-Being and Ageing in the 21st Century, held at Egas Moniz’ University Campus in Monte de Caparica, Almada, from 3–5 June 2019.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.info:eu-repo/semantics/publishedVersio

Oxidation of iodide and iodine on birnessite (δ-MnO2) in the pH range 4-8

The oxidation of iodide by synthetic birnessite (δ-MnO2) was studied in perchlorate mediain the pH range 4-8. Iodine (I2) was detected as an oxidation product that was subsequently further oxidized to iodate (IO3). The third order rate constants, second order on iodide and first order on manganese oxide, determined by extraction of iodine in benzene decreased with increasing pH (6.3-7.5) from 1790 to 3.1 M2 s1. Both iodine and iodate were found to adsorb significantly on birnessite with an adsorption capacity of 12.7 mM/g for iodate at pH5.7. The rate of iodine oxidation by birnessite decreased with increasing ionic strength, which resulted in a lower rate of iodate formation. The production of iodine in iodide-containing waters in contact with manganese oxides may result in the formation of undesired iodinated organic compounds (taste and odor, toxicity) in natural and technical systems. The probability of the formation of such compounds is highest in the pH range 5-7.5. For pH 7.5, iodide is not oxidized to a significant extent

The Asymptotics of Wilkinson's Iteration: Loss of Cubic Convergence

One of the most widely used methods for eigenvalue computation is the $QR$ iteration with Wilkinson's shift: here the shift $s$ is the eigenvalue of the bottom $2\times 2$ principal minor closest to the corner entry. It has been a long-standing conjecture that the rate of convergence of the algorithm is cubic. In contrast, we show that there exist matrices for which the rate of convergence is strictly quadratic. More precisely, let $T_X$ be the $3 \times 3$ matrix having only two nonzero entries $(T_X)_{12} = (T_X)_{21} = 1$ and let $T_L$ be the set of real, symmetric tridiagonal matrices with the same spectrum as $T_X$. There exists a neighborhood $U \subset T_L$ of $T_X$ which is invariant under Wilkinson's shift strategy with the following properties. For $T_0 \in U$, the sequence of iterates $(T_k)$ exhibits either strictly quadratic or strictly cubic convergence to zero of the entry $(T_k)_{23}$. In fact, quadratic convergence occurs exactly when $\lim T_k = T_X$. Let $X$ be the union of such quadratically convergent sequences $(T_k)$: the set $X$ has Hausdorff dimension 1 and is a union of disjoint arcs $X^\sigma$ meeting at $T_X$, where $\sigma$ ranges over a Cantor set.Comment: 20 pages, 8 figures. Some passages rewritten for clarit

Screening of pesticides and polycyclic aromatic hydrocarbons in feeds and fish tissues by gas chromatography coupled to high-resolution mass spectrometry using atmospheric pressure chemical ionization

This paper reports a wide-scope screening for detection and identification of pesticides and polycyclic aromatic hydrocarbons (PAHs) in feeds and fish tissues. QuEChERS sample treatment was applied, using freezing as an additional cleanup. Analysis was carried out by gas chromatography coupled to hybrid quadrupole time-of-flight mass spectrometry with atmospheric pressure chemical ionization (GC-(APCI) QTOF MS). The qualitative validation was performed for over 133 representative pesticides and 24 PAHs at 0.01 and 0.05 mg/kg. Subsequent application of the screening method to aquaculture samples made it possible to detect several compounds from the target list, such as chlorpyrifos-methyl, pirimiphos-methyl, and ethoxyquin, among others. Light PAHs (≤4 rings) were found in both animal and vegetable samples. The reliable identification of the compounds was supported by accurate mass measurements and the presence of at least two representative m/z ions in the spectrum together with the retention time of the peak, in agreement with the reference standard. Additionally, the search was widened to include other pesticides for which standards were not available, thanks to the expected presence of the protonated molecule and/or molecular ion in the APCI spectra. This could allow the detection and tentative identification of other pesticides different from those included in the validated target list. © 2014 American Chemical Society.This work has been (partly) funded under the EU Seventh Framework Programme by ARRAINA Project 288925: Advanced Research Initiatives for Nutrition and Aquaculture. The views expressed in this work are the sole responsibility of the authors and do not necessarily reflect the views of the European Commission. This work has been developed within the framework of the Research Unit of Marine Ecotoxicology (IATS (CSIC)-IUPA (UJI)). We also acknowledge the financial support of Generalitat Valenciana (research group of excellence PROMETEO/2009/054; ISIC 2012/016).Peer Reviewe