Heat removal has become an increasingly crucial issue for microelectronic chips due to increasingly high speed and high performance. One solution is to increase the thermal conductivity of the corresponding dielectrics. However, traditional approach to adding solid heat conductive nanoparticles to polymer dielectrics led to a significant weight increase. Here we propose a dielectric polymer filled with heat conductive hollow nanoparticles to mitigate the weight gain. Our mesoscale simulation of heat conduction through this dielectric polymer composite microstructure using the phase-field spectral iterative perturbation method demonstrates the simultaneous achievement of enhanced effective thermal conductivity and the low density. It is shown that additional heat conductivity enhancement can be achieved by wrapping the hollow nanoparticles with graphene layers. The underlying mesoscale mechanism of such a microstructure design and the quantitative effect of interfacial thermal resistance will be discussed. This work is expected to stimulate future efforts to develop light-weight thermal conductive polymer nanocomposites.

Homework is an indispensable basic link in classroom teaching, an important link in the consolidation of knowledge after class, and an important way for students to understand knowledge, digest knowledge, and improve their problem-solving ability. In the practice of mathematics teaching in primary schools, attention should be paid to the effectiveness of homework assignments in different links before, during and after class, and the content of homework should take into account the reality of students at different levels. This paper expounds the strategy of hierarchical design of mathematics homework from the aspects of the hierarchical design and arrangement of mathematics homework in the upper grades of primary school, aiming to effectively improve the quality of mathematics classroom teaching in the upper grades of primary school.

This study explores the transformative role of art design interventions in the sustainable development and infrastructure enhancement of intangible cultural heritage, with a particular focus on honored brands. The research develops a framework that positions aesthetic and interactive art design interventions as pivotal components in revitalizing these brands. Aesthetic interventions translate the brand’s core philosophy, spirit, and values into compelling visual symbols, harmonizing cultural heritage with modern image design to elevate brand reputation and consumer preference. Interactive interventions enhance user experience, particularly among younger demographics, by integrating technological and entertainment-based engagement, thereby strengthening consumer loyalty and brand influence. The study further investigates how these art design interventions serve as catalysts for broader social development, contributing to the modern relevance and societal impact of time-honored brands. Additionally, it examines the impact of these interventions on sustainable development, societal support, and policy alignment. By weaving together these elements, the research underscores the critical importance of aligning brand strategies with societal goals, fostering environments where brands actively contribute to social welfare and sustainable growth. The findings offer valuable theoretical insights and practical strategies for the sustainable development of time-honored brands, providing clear directions for future research and practice.

Building cooling load depends on heat gains from the outside environment. Appropriate orientation and masonry materials play vital roles in the reduction of overall thermal loads buildings. A net-zero energy building performance has been analyzed in order to ascertain the optimum orientation and wall material properties, under the climatic conditions of Owerri, Nigeria. Standard cooling load estimation techniques were employed for the determination of the diurnal interior load variations in a building incorporating renewable energy as the major energy source, and compared with the situation in a conventionally powered building. The results show a 19.28% reduction in the building’s cooling load when brick masonry was used for the wall construction. It was observed that a higher heat gain occurred when the building faced the East-West direction than when it was oriented in the North-South direction. Significant diurnal cooling loads variation as a result of radiation through the windows was also observed, with the east facing windows contributing significantly higher loads during the morning hours while the west facing windows contributed higher amounts in the evening. The economic analysis of the net-zero energy building showed an 11.63% reduction in energy cost compared to the conventional building, with a 7-year payback period for the use of Solar PV systems. Therefore, the concept of net-zero energy building will not only help in energy conservation, but also in cost savings, and the reduction of carbon footprint in the built environment.

Technological management has promoted distinctive characteristics in the socio-productive development of the regions. Its usefulness in entrepreneurial activity is studied to design the architecture of a technological observatory as an intelligent system for entrepreneurship in Latin America. Using a descriptive-explanatory method, data obtained from the application of two instruments directed to 18 experts in information and communication technologies and 174 entrepreneurs distributed 92 in Lima-Peru and 82 in Santiago de Cali-Colombia are processed. The findings show informational and training barriers and a weak or non-existent technological platform for effective entrepreneurial development. Added to the low development of plans and alliances mediated by technologies, whose experience supports public policies that strengthen entrepreneurship as an emerging economy. The architecture supports the functional and operational aspects of the system. Its scalability in other regions dynamizes the services-processes required prior to the detection of needs directed towards the projection of sustainable entrepreneurship.

The fields of urban design and public health play an important role in the success and failure of the city. Research combining the two fields to improve citizens’ lives is rare, particularly in a rapidly developing city like Doha. This study highlights the urban planning efforts of the municipality of Doha city to improve the mental health of its citizens and aims to understand the impact of urban design elements on mental health by analyzing the physical form and characteristics of green urban areas in Doha. The methods employed include an observational study and a structured survey interview, where visitors’ responses to selected green urban areas are analyzed. The results show how Doha officials are working to improve the mental health of its citizens by providing accessible, child-friendly, older citizen-friendly, and equitable green urban spaces and suggesting policies that could provide more opportunities for people and the government to provide a healthier environment in Doha. The implications encompass shaping urban design strategies, raising public awareness, enhancing healthcare initiatives, and ultimately emphasizing the positive impact of well-designed green spaces for mental well-being in Doha and other Gulf countries.