Visualising global currents of international students between 1999 and 2018

The flows of international students are like the currents of the oceans, not only affecting the individuals adrift in them but the global circulation of policy, economics and academics as a whole, bearing pros and cons for each country or region along the way. To date, there has not been a detailed and elaborate description of the fluxes of international students over decades. In light of the research gap, the article utilises the chord diagram to draw threads between each pair of origin and destination of international students in the last 20 years and divides the periods into four main phases. With each phase exhibiting its specific features, we have tentatively concluded that the global student mobility structure has evolved from Arterial (1999–2003), Breakthrough (2004–2008) to Catch-Up (2009–2013), and lastly, Diversification (2014–2018). Corresponding reasons underpinning each change of the migration flows are also discussed briefly in the article.

Sponge-dwelling fauna: a review of known species from the Northwest Tropical Atlantic coral reefs

Within tropical shallow-water coral reefs, marine sponges provide microhabitats for a wide range of fauna. Although there have been numerous studies and reports of symbiotic relationships amongst sponges and their associated fauna, those pieces of information are isolated and disconnected. For this reason, based on the available literature, we compiled a species-interaction dataset of coral reef marine sponge-associated fauna known to date. We introduce a dataset that includes 67 literature items that report 101 species of sponge hosts clustered in 12 Orders having a host/guest interaction with 284 guest species from six Phyla present in the Northwestern Tropical Atlantic coral reefs. This dataset consists of two types of information: 1. Machine-readable data and 2. Human-readable data. These two types of coding improve the scope of the dataset and facilitate the link between machine platforms and human-friendly displays. We also created an interactive visualisation of the species-interactions dataset and of a dynamic Chord Diagram of the host-guest species connections to generate a user-friendly link between the user and the dataset.

Complex Sachdev-Ye-Kitaev model in the double scaling limit

We solve for the exact energy spectrum, 2-point and 4-point functions of the complex SYK model, in the double scaling limit at all energy scales. This model has a U(1) global symmetry. The analysis shows how to incorporate a chemical potential in the chord diagram picture, and we present results for the various observables also at a given fixed charge sector. In addition to matching to the spectral asymmetry, we consider an analogous asymmetry measure of the 2-point function obeying a non-trivial dependence on the operator’s dimension. We also provide the chord diagram structure for an SYK-like model that has a U(M) global symmetry at any disorder realization. We then show how to exactly compute the effect of inserting very heavy operators, with formally infinite conformal dimension. The latter separate the gravitational spacetime into several parts connected by an interface, whose properties are exactly computable at all scales. In particular, light enough states can still go between the spaces. This behavior has a simple description in the chord diagram picture.

Improvement in Growth and Yield Attributes of Cluster Bean Through Optimization of Sowing Time and Plant Spacing Under Climate Change Scenario

Cluster bean (Cyamopsis tetragonoloba L.) yield have plateaued due to reduction in rainfall and rise in temperature. Therefore, its production cycle could not get appropriate water and temperature. It becomes important to standardize sowing time and plant spacing of cluster bean in changing climate scenario to get higher productivity. Therefore, a field study was conducted to evaluate the effect of four sowing times (15th May, 1st June, 15th June, and 1st July) and three plant spacings (10, 12 and 15 cm) on crop growth, yield, and physiological functions of cluster bean genotype BR-2017. The sowing times (15th May, 1st June, 15th June, and 1st July) were placed in the main plot while plant spacing (10, 12 and 15 cm) were maintained in subplots. Results showed that 1st June sowing performed better over 15th May, 15th June, and 1st July while plant spacing 15 cm about in all sowing times showed higher results on growth and yield parameters of cluster bean over plant spacing 10, 12, and 15 cm. The 1st June sowing time at 15 cm plant spacing showed 8.0, 22.7, and 28.5% higher grains pod-1 as compared to 15th May, 15th June, and 1st July sowing respectively. The chord diagram clearly indicates that the crop has received optimum environmental conditions when sown 1st June over other sowing times. In conclusion, 1st June sowing with 15 cm plant spacing could be a good option to achieve maximum productivity of cluster bean under changing climate scenario.

Knotting probability of an arc diagram

The knotting probability of an arc diagram is defined as the quadruplet of four kinds of finner knotting probabilities which are invariant under a reasonable deformation containing an isomorphism on an arc diagram. In a separated paper, it is shown that every oriented spatial arc admits four kinds of unique arc diagrams up to isomorphisms determined from the spatial arc and the projection, so that the knotting probability of a spatial arc is defined. The definition of the knotting probability of an arc diagram uses the fact that every arc diagram induces a unique chord diagram representing a ribbon 2-knot. Then the knotting probability of an arc diagram is set to measure how many nontrivial ribbon genus 2 surface-knots occur from the chord diagram induced from the arc diagram. The conditions for an arc diagram with the knotting probability 0 and for an arc diagram with the knotting probability 1 are given together with some other properties and some examples.