The structure, thermodynamic stability, ionization potential (IP) and electron affinity (EA) energy level difference (E_g) and tension of lowest unoccupied orbit (LUMO) and highest occupied orbit (HOMO) of armchair single wall carbon nanotubes (C-NTs), BN hybrid carbon nanotubes (BC₂N-NTs) and all BN nanotubes (BN-NTs) were systematically studied with AM1 method in this paper. Calculation results show that when n value is constant, (n, n) C-NTs (n = 3,4,5,6) has the largest diameter and BN-NTs has the smallest diameter; (n, n) the values of E_g (HOMO-LUMO) and n of C-NTs and BC₂N-NTs are related; POAV analysis shows that different hybrid atoms have different contributions to the hybrid mode of nanotube atoms and the tension of nanotubes.

This study examines the financial integration between Jordan and the BRIC economies (Brazil, Russia, India, and China) to determine whether long-term equilibrium relationships exist and to assess implications for portfolio diversification and policy. Drawing on daily stock index data from 01 January 2014, to 31 August 2024, the study employs econometric techniques, including Granger Causality tests, Johansen Cointegration, and Vector Autoregression (VAR). The stationarity of stock indices at the first difference level is confirmed through unit root testing. Results indicate minimal long-term cointegration between Jordan and BRIC markets, pointing to low integration and potential diversification benefits for institutional investors. However, short-term causal links—particularly between Jordan and the Russian and Indian markets—highlight these countries’ influence on Jordan’s stock fluctuations. The findings suggest that, in the absence of long-term cointegration, investors may mitigate risk by investing in less correlated markets, such as Jordan, while leveraging short-term partnerships with Russia and India. Additionally, the study provides valuable insights for business leaders considering strategic alliances with BRIC counterparts in sectors like technology, agriculture, and energy, and calls for future research into factors like regulatory frameworks and geopolitical stability that may limit long-term financial integration. These results have significant implications for institutional investors, business executives, and policymakers, suggesting targeted strategies for financial stability, risk mitigation, and economic collaboration.

This article examines the legal challenges associated with the utilization of marine genetic resources (MGR) at both the national level and beyond national jurisdiction (BBNJ). The legal challenges addressed are as follows: 1) MGR are located across various jurisdictions, encompassing both national and international domains. The analysis starts with an overview of the international regulations that govern the utilization of genetic resources (GR) and their influence on national legislation. It emphasizes the principle of state sovereignty over natural resources while defining MGR and determining ownership; 2) It further highlights the intersection of national and international laws, particularly in transboundary contexts and within Indigenous and Afro-descendant peoples (IADP) territories, analyzing how these regulations are interpreted and applied in such scenarios; 3) The legal challenges related to the use of MGR in international waters are examined. Special emphasis is placed on the recent United Nations (UN) Agreement concerning this issue. This includes an analysis of its impact and specific provisions related to the utilization of MGR, such as the quantity to be collected, the methodology employed, collection sites, among others. The article concludes by asserting that the equitable distribution of benefits from the use of GR should begin at the earliest stages of access to these resources, including project planning and sample collection, rather than being delayed until the patenting and commercialization phases. Early benefit-sharing is essential for promoting fairness and equity in the use of MGR.

Karren and mass movements are described. Mass movements taking place on karren terrains are studied in case of bare karren and covered karren. Mass movements occur at rinnenkarren, grikes, Schichtfugenkarren, and tropical karren. This study describes that karren features increase the chance of the development of certain mass movements. It is approached in a theoretical way that in the case of different preconditions (e.g., change of slope angle), what kind of mass movements are triggered by different karren features. The most common mass movement is triggered by karren which are debris creep, gelisolifluction, rock avalanche, collapses, creep and solifluction.

Adsorption is a widely used method for the treatment of dissolved contaminants. Various agro-industrial wastes have been explored as potential adsorbents, showing high efficiency in dye removal. Each adsorbate-adsorbent pair needs kinetic, and equilibrium models to scale up this process. In this work, the equilibrium, kinetics and thermodynamics of the corn Tuza-Red 40 system were evaluated under batch system at ph = 2.0 at temperatures of 25, 40, and 55 °C. The Langmuir, Freundlich and Temkin models were selected for the isotherm representation, while the Lagergren, Ho, and Elovich equations for the kinetics of the process. The Freundlich model presented the best fit to the isotherms, the adsorption kinetics was best described by the Ho equation, and the values for Gibbs free energy and entropy indicated the spontaneity and feasibility of the process.

Simple mathematical expressions are given for the betweenness centrality of nodes in trees, forests and cycles. As application, a centrality test is given for when a network might be a forest.