Heat conduction theory stipulates that two thermo-physical properties of materials: the thermal conductivity “k” and the thermal diffusivity “α” influence the temperature evolution in regular and irregular bodies as a response to various cooling/heating conditions. The traditional statement involving the two thermo-physical properties is examined at length in the present study for the case of a semi-infinite region. The primary objective of the present study is to investigate the influence of the less known thermo-physical property called the thermal effusivity “e” on the incipient surface temperature rise in a semi-infinite body affected by uniform surface heat flux. The secondary objective of the study is to identify a key figure of merit named the dimensionless threshold time that separates the incipient temperature elevation in a semi-infinite region from the incipient temperature elevation in a large wall of finite thickness under the same uniform surface heat flux. The outcome of the methodical analysis suggests that the accurate estimate for the dimensionless threshold time τ_th in the semi-infinite region should be 0.10.

With the development of globalization, the importance of multiculturalism in university English education is becoming more and more prominent. This paper discusses the problems related to the teaching innovation of university English education from the perspective of multiculturalism. Firstly, it introduces the concept and significance of multicultural education and emphasizes its importance to university English education. Secondly, it analyzes the problems existing in the current university English teaching, such as cultural prejudice and language barrier. Then, innovative strategies for multicultural teaching are proposed, including teacher training, textbook design, teaching activities and so on. Finally, the evaluation and future development of multicultural education are prospected.

This paper investigates the innovation policy used by the Chinese government and tries to give recommendations to other developing countries to achieve leapfrogging. The main results are as follows: (1) summarize the main HSR-related policy theme issued by the Chinese government, mainly technology transfer, the communication and collaboration with different actors, and the state’s role, (2) discuss the existing challenges and issues for HSR policies, (3) give recommended measures for other developing countries.

In the process of vocal music teaching, the level of a singer's aesthetic ability often determines their long-term development. Therefore, in the process of conducting vocal music teaching, it is necessary to pay more attention to the cultivation of students' musical aesthetic ability, improve students' understanding and mastery of music art from the ideological level, and achieve better teaching effects. This article will conduct research on the importance of cultivating aesthetic ability in vocal music teaching, and explore strategies from aspects such as absorbing life content and introducing musical instruments into teaching models. It is hoped to provide some help for related teaching work.

In recent years, China has been emphasizing the importance of "mass entrepreneurship and innovation". Through such policies, more outstanding "great country craftsmen" should be cultivated, providing strong support for the overall industrial upgrading of our country. In order to achieve this grand national strategic goal, each university needs to conduct targeted exploration of the integration of innovation, entrepreneurship, and craftsmanship spirit based on its own actual situation. This article will explore the integrated cultivation mode of entrepreneurship and innovation+craftsmanship spirit from multiple aspects such as national policy guidance, student training plans, and training channels, based on the specific situation of the current development of entrepreneurship and innovation, combined with the research results of our school. In the process of entrepreneurship and innovation education, we will cultivate students' craftsmanship spirit and provide sufficient assistance for social development.

Trinity education mode is an important assessment standard in the process of college teacher team construction. Through in-depth exploration of Trinity education mode, data can be further updated in real time from many aspects such as students' training needs, personal development direction and teaching resources reorganization, which is conducive to the basis of college teacher team construction process and can also combine the current situation and core advantages of college teacher team development. It can also integrate the advantages of quality education and trinity education, and further provide new directions for the development of university teachers. Therefore, under the background of new era development, it is an effective way to improve the effectiveness of college teachers' team construction through Trinity education mode, and further realize the advantages of team construction and innovative development in the traditional team construction.