In this study, we consider the extended Brinkman's-Darcy model for a triple diffusive convection system which consists of some parameters such as Taylor number (Ta), Solutal Rayleigh numbers (RC1 , RC2 ), and Prandtl number (Pr). To investigate the range of these parameters, a dynamical system of the Ginzburg-Landau equation is developed. The parametric analysis and comparative study of the model for the three Rayleigh numbers which leads to the clear fluid layer, sparsely packed porous layer, and densely packed porous layer is done with the help of bifurcation maps and the Lyapunov exponents. It is found that for a certain range of parameters, the system exhibits a chaotic behaviour.

The Method of Discretization in Time (MDT) is a hybrid numerical technique intended to alleviate upfront the computational procedure of timedependent partial differential equations of parabolic type upfront. The MDT engenders a sequence of adjoint second order ordinary differential equations, wherein the space coordinate is the independent variable and time becomes an embedded parameter. Essentially, the adjoint second order ordinary differential equations are considered of “quasistationary” nature. In this work, the MDT is used for the analysis of unsteady heat conduction in regular bodies (large wall, long cylinder and sphere) accounting for nearly constant thermophysical properties, uniform initial temperature and surface heat flux. In engineering applications, the surface heat flux is customarily provided by electrical heating, radiative heating and pool fire heating. It is demonstrated that the approximate, semianalytical temperature solutions of the first adjoint “quasistationary” heat conduction equations using the first time jump are easily obtainable for each regular body. For enhanced acccuracy, regression analysis is applied to the deviations of the dimensionless surface temperature as a function of the dimensionless time for each regular body.

This study explores the determinants of control loss in eating behaviors, employing decision tree regression analysis on a sample of 558 participants. Guided by Self-Determination Theory, the findings highlight amotivation (β = 0.48, p < 0.001) and external regulation (β = 0.36, p < 0.01) as primary predictors of control loss, with introjected regulation also playing a significant role (β = 0.24, p < 0.05). Consistent with Self-Determination Theory, the results emphasize the critical role of autonomous motivation and its deficits in shaping self-regulation. Physical characteristics, such as age and weight, exhibited limited predictive power (β = 0.12, p = 0.08). The decision tree model demonstrated reliability in explaining eating behavior patterns, achieving an R² value of 0.39, with a standard deviation of 0.11. These results underline the importance of addressing motivational deficits in designing interventions aimed at improving self-regulation and promoting healthier eating behaviors.

Researchers at Stanford University in the USA identified the world's Top 2% of Scientists based on data from the Scopus database. This study recognized leading scientists across various sub-fields, ranking them by the sm-subfield-1 (ns) indicator. A total of 174 distinguished scientists from 25 countries were highlighted, with a notable concentration from the USA. Harvard University was a leader, producing top scientists in 16 sub-fields. Among the 174 recognized, four are Nobel Prize Laureates, and two have received the Fields Medal. Ten scientists authored the most frequently cited papers across categories in the Web of Science, including the Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), and Arts & Humanities Citation Index (A&HCI). Professor Georg Kresse authored the most cited paper in three Web of Science categories: multidisciplinary materials science, applied physics, and condensed matter physics. The study further analyzed GDP and population metrics for each top scientist by sub-field. Seventy of the 174 scientists have consistently maintained their top rankings over the past five years.

The centers of trade and economic activities in the region of Southeast Asia rank from a huge and modern to a small and traditional pattern. Malacca and Singapore have been cases in point for huge and modern patterns, while the border areas in eastern Indonesia, East Malaysia, and the Philippines are the cases for small and traditional centers. This paper will argue that with global connectivity and regional dynamics, the small and traditional trade and economic centers could shift to modern ones. History records that the introduction of the Southeast Asian region by the outside world, especially in relation to trade and economic activities, was largely derived from the significant role played by the people in the mainland of Southeast Asia regarding the silk roads route and the role of the people in the insular or islands of Southeast Asia regarding the spice trade route in the premodern time. Later in the modern time in Southeast Asia, the role of Islam, the Europeans and the center trade of Malacca around the 17th and 18th centuries played a significant role. Indeed, huge trade centers like Malacca in the 17th C and 18th C and later by Singapore in the 9th C have been very important throughout the history of trade in the Southeast Asian region. However, we must not ignore the roles of the border areas in the Southeast Asian archipelago, especially in eastern Indonesia, East Malaysia, and the border region of the Philippines which have played a dominant role in trade and economic activities. These activities have been smaller and more traditional than the Malacca and Singapore cases, but economic activities could develop rapidly with the global connection and its interconnectivity. Besides, those border areas have also become an important key for security issues not only in the Southeast Asia region in particular but also in the Asia Pacific or Indo Pacific region as well. The security of the region of Southeast Asia and even Indo Pacific could be affected by the situation in those border areas. Interconnectivity is a challenge as well as an opportunity for these border areas to become the future of trade and economic activities within the region of Southeast Asia that also connects with the region of Indo Pacific, especially China, South Korea, and Taiwan. The planning of Indonesian capital movement to East Kalimantan will add opportunities for those border areas located near the proposed new capital. About the above issues, this paper will address several issues: firstly, the history of trade and economic activities in Malacca, Singapore, and the border areas in eastern Indonesia, East Malaysia, and the Philippines; secondly, the different patterns of trade and economic developments of the Malacca, Singapore, and the border areas in eastern Indonesia, East Malaysia, and Philippines; thirdly, the challenges and opportunities of the border areas in eastern Indonesia, East Malaysia, and the Philippines to develop bigger trade centers in the future; fourth, the interconnectivity of those border areas to Asia Pacific region. This paper uses an interdisciplinary approach in the fields of social sciences and humanities. With this study, it is hoped that a better understanding of regional dynamics will be obtained, especially in the border areas. The period that we use is from 1998 until present time regarding if there was changing policy due to the end of Old Order to the Reformation period of Indonesian government. As a result, the development of border areas had been in existence before the colonial time in which people moved freely and had trade contacts. Even though they used to have the same ethnic linkage, after the formation of a modern state where they have different citizenships, in reality they can relate to each other in harmony and peace because of the similarity of ethnic linkages they had in the past. Colonial powers intended to replace the powers of traditional kingdoms with the idea of civilizing the colonializ