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An analytical solution of a biharmonic equation is presented in axisymmetric toroidal coordinates for Stokes flow due to surface tension gradient on the free surface of sessile drops. The stream function profiles exhibit clockwise and counter-clockwise toroidal volumes. The ring or dot formed by the downward dividing streamlines between these volumes predicts the experimentally deposited particle ring or dot well. This finding suggests that the downward dividing streamline can be taken to be a reasonable indicator of where deposition occurs. Different light patterns directed at different locations of the droplet can give rise to a single spot or ring. A relationship between the positions of the light intensity peak and possible locations of particle deposition is analysed to demonstrate that the streamlines can be generated on-demand to achieve particle deposition at predetermined locations on the substrate. Toroidal corner vortices called Moffatt eddies have appeared in other corner flows and develop in this optical Marangoni flow as well near the contact line.
The motivic Hilbert zeta function of a variety
is the generating function for classes in the Grothendieck ring of varieties of Hilbert schemes of points on
. In this paper, the motivic Hilbert zeta function of a reduced curve is shown to be rational.
On May 18, 2017, the International Court of Justice (ICJ or Court) granted provisional measures in the Jadhav Case brought by India against Pakistan. This unremarkable order is in line with the Court's ordinary approach to requests for interim relief in death penalty cases. The Court ordered Pakistan to stay the execution of Kulbhushan Jadhav, an Indian national, pending a final decision in the proceedings instituted by India. It reiterated that orders on provisional measures are binding on the parties to whom they are addressed.
Although caution must be exercised in attributing a policy to the International
Court of Justice, it is difficult not to see the Marshall
Islands judgments as part of a longer trend of the Court using
formalistic reasoning to decline cases concerning nuclear weapons.
The International Court of Justice (Court or ICJ) delivered three judgments in 2015. The first, delivered on February 3, 2015, determines claims of genocide made by Croatia and Serbia against each other. The second, delivered on September 24, 2015, addresses Chile’s preliminary objection in a case brought against it by Bolivia, which asserted that Chile had violated its obligation to negotiate in good faith to secure Bolivia’s sovereign access to the Pacific Ocean. The third, delivered on December 16, 2015, concerns the joined cases brought by Costa Rica and Nicaragua, each party alleging territorial violations and transboundary environmental harms by the other. This review highlights notable points of interest in the judgments and draws attention to particular insights and critiques afforded by the individual opinions that accompany each judgment.
Several lung function tests may be used for the physiologic assessment of lung growth and development throughout infancy and childhood. Optimal lung function tests for monitoring cystic fibrosis, bronchopulmonary dysplasia, and recurrent wheezing in children less than 6 years of age have been recently reported, and studies where infant and preschool lung function has been applied in these specific respiratory disorders have been reviewed. Normal reference ranges for older subjects, including into adulthood, have also been reported.
When interpreting physiologic measures of lung growth and development throughout infancy and childhood, it is important to be aware of the influence of growth and maturity, the influence of demographic factors such as sex and ethnicity, the normal intra- and interindividual variability of the parameters at each age, and the diagnostic value of each of the parameters obtained in each test.
Very preterm (< 32 weeks gestational age) or very low birth weight (<1500 g birth weight) survivors, particularly those who had bronchopulmonary dysplasia in the newborn period, have more lung function abnormalities, particularly airway obstruction, than do term-born survivors and are at high risk of adult obstructive lung disease as they grow older.
We study moduli spaces of rational weighted stable tropical curves, and their connections with Hassett spaces. Given a vector
of weights, the moduli space of tropical
-stable curves can be given the structure of a balanced fan if and only if
has only heavy and light entries. In this case, the tropical moduli space can be expressed as the Bergman fan of an explicit graphic matroid. The tropical moduli space can be realized as a geometric tropicalization, and as a Berkovich skeleton, its algebraic counterpart. This builds on previous work of Tevelev, Gibney and Maclagan, and Abramovich, Caporaso and Payne. Finally, we construct the moduli spaces of heavy/light weighted tropical curves as fibre products of unweighted spaces, and explore parallels with the algebraic world.
THE European Court of Human Rights' (ECtHR) judgment in Jones and others v U.K. (2014) 59 E.H.R.R. 1 is the latest word on a long-running debate about whether public international law excludes foreign State immunities before domestic courts in civil proceedings relating to the violation of jus cogens norms, particularly the prohibition against torture. The case joined applications by Mr. Jones and Messrs. Mitchell, Sampson and Walker, all British (or dual) nationals, alleging that the UK's grant of immunity to Saudi Arabia (in Mr. Jones's case) and to Saudi Arabian public officials (in both cases) amounted to a disproportionate interference with their right of access to court under Article 6 of the European Convention on Human Rights (ECHR). The ECtHR decided, by six votes to one, that the House of Lords' judgment in Jones vMinistry of Interior Al-Mamlaka Al-Arabyia AS Saudiya (the Kingdom of Saudi Arabia)  UKHL 26;  1 A.C. 270) (“Jones [HL]”) was correct in finding that public international law did not recognise a “torture” exception to the general rule of State immunity in civil proceedings and, consequently, did not infringe Article 6 of the ECHR.