The structure of a minimal nn-chart with two crossings II: Neighbourhoods of Γ1∪Γn−1\Gamma_1\cup\Gamma_{n-1}

Given a 2-crossing minimal chart $\Gamma$, a minimal chart with two crossings, set $\alpha=\min\{~i~|~$there exists an edge of label $i$ containing a white vertex$\}$, and $\beta=\max\{~i~|~$there exists an edge of label $i$ containing a white vertex$\}$. In this paper we study the structure of a neighbourhood of $\Gamma_\alpha\cup\Gamma_\beta$, and propose a normal form for 2-crossing minimal $n$-charts, here $\Gamma_\alpha$ and $\Gamma_\beta$ mean the union of all the edges of label $\alpha$ and $\beta$ respectively.Comment: 57 pages, 36 figure

A statistical model for genotype determination at a major locus in a progeny test design

Considering a normally distributed quantitative trait whose genetic variation is controlled by both an autosomal major locus and a polygenic component, and whose expression is influenced by environmental factors, a mixed model was developed to classify sires and daughters for their genotypes at the major locus in a progeny test design. Repeatability and genetic parameters reflecting the polygenic variation were assumed to be known. Posterior distribution of the sire genotypes and that of the daughters given the sire genotypes were derived. A method was proposed to estimate these posterior probabilities as well as the unknown parameters, and a method using the likelihood ratios to test specific genetic hypotheses was suggested. An iterative two-step procedure similar to the EM (expectation-maximization) algorithm was used to estimate the posterior probabilities and the unknown parameters. The operational value of this approach was tested with simulated data.S’appliquant à un caractère quantitatif à distribution normale, dont la variabilité génétique est contrôlée à la fois par un locus majeur autosomal et par une composante polygénique et dont l’expression est influencée par des facteurs de milieu, un modèle mixte est développé afin de déterminer le génotype (au locus majeur) des pères et de leurs filles dans un test sur descendance. La répétabilité et les paramètres génétiques relatifs à la composante polygénique sont supposés connus. La loi a posteriori des génotypes des pères et celles des génotypes de leurs filles, conditionnellement aux génotypes des pères, sont établies. Une méthode est proposée pour estimer ces probabilités a posteriori, ainsi que les paramètres inconnus, et une méthode utilisant les rapports de vraisemblance est suggérée afin de tester des hypothèses génétiques spécifiques. Une procédure itérative en deux étapes, similaire à l’algorithme EM (expectation-maximization), est présentée afin d’estimer les probabilités a posteriori et les paramètres inconnus. L’intérêt opérationnel de cette approche est éprouvé sur des données simulées

Multiaxial Kitagawa analysis of A356-T6

Experimental Kitagawa analysis has been performed on A356-T6 containing natural and artificial defects. Results are obtained with a load ratio of R = -1 for three different loadings: tension, torsion and combined tension-torsion. The critical defect size determined is 400 \pm 100 \mum in A356-T6 under multiaxial loading. Below this value, the microstructure governs the endurance limit mainly through Secondary Dendrite Arm Spacing (SDAS). Four theoretical approaches are used to simulate the endurance limit characterized by a Kitagawa relationship are compared: Murakami relationships [Y Murakami, Metal Fatigue: Effects of Small Defects and Nonmetallic Inclusions, Elsevier, 2002.], defect-crack equivalency via Linear Elastic Fracture Mechanics (LEFM), the Critical Distance Method (CDM) proposed by Susmel and Taylor [L. Susmel, D. Taylor. Eng. Fract. Mech. 75 (2008) 15.] and the gradient approach proposed by Nadot [Y. Nadot, T. ~Billaudeau. Eng. Fract. Mech. 73 (2006) 1.]. It is shown that the CDM and gradient methods are accurate; however fatigue data for three loading conditions is necessary to allow accurate identification of an endurance limit.Comment: 27 pages, 11 figure

Sources of sub-micrometre particles near a major international airport

The international airport of Heathrow is a major source of nitrogen oxides, but its contribution to the levels of sub-micrometre particles is unknown and is the objective of this study. Two sampling campaigns were carried out during warm and cold seasons at a site close to the airfield (1.2 km). Size spectra were largely dominated by ultrafine particles: nucleation particles ( < 30 nm) were found to be  ∼ 10 times higher than those commonly measured in urban background environments of London. Five clusters and six factors were identified by applying k means cluster analysis and positive matrix factorisation (PMF), respectively, to particle number size distributions; their interpretation was based on their modal structures, wind directionality, diurnal patterns, road and airport traffic volumes, and on the relationship with weather and other air pollutants. Airport emissions, fresh and aged road traffic, urban accumulation mode, and two secondary sources were then identified and apportioned. The fingerprint of Heathrow has a characteristic modal structure peaking at  < 20 nm and accounts for 30–35 % of total particles in both the seasons. Other main contributors are fresh (24–36 %) and aged (16–21 %) road traffic emissions and urban accumulation from London (around 10 %). Secondary sources accounted for less than 6 % in number concentrations but for more than 50 % in volume concentration. The analysis of a strong regional nucleation event showed that both the cluster categorisation and PMF contributions were affected during the first 6 h of the event. In 2016, the UK government provisionally approved the construction of a third runway; therefore the direct and indirect impact of Heathrow on local air quality is expected to increase unless mitigation strategies are applied successfully

A Special Tribute to Anne Frank of the Southeast Asian Archive at the University of California, Irvine

Special tributes in honor of Anne Frank for her service to the field through the Southeast Asian Archive at UC, Irvine