The recession cone and recession function are very important research objects in Convex Analysis. They have extensive applications in the optimization theory. Firstly, we study the properties of the recession cone and recession function. The positive homogeneity and subadditivity of recession function are mainly discussed. And the different methods are considered to prove these properties. Secondly, we discuss the unboundedness of the convex sets and convex functions by using recession cone and recession function.
Aiming at the current problems of poor dynamic reconstruction of UAV aerial remote sensing images and low image clarity, the dynamic reconstruction method of UAV aerial remote sensing images based on compression perception is proposed. Construct a quality reduction model for UAV aerial remote sensing images, obtain image feature information, and further noise reduction preprocessing of UAV aerial remote sensing images to better improve the resolution, spectral and multi-temporal trends of UAV aerial remote sensing images, and effectively solve the problems of resource waste such as large amount of sampled data, long sampling time and large amount of data transmission and storage. Maximize the UAV aerial remote sensing images sampling rate, reduce the complexity of dynamic reconstruction of UAV aerial remote sensing images, and effectively obtain the research requirements of high-quality image reconstruction. The experimental results show that the proposed dynamic reconstruction method of UAV aerial remote sensing images based on compressed sensing is correct and effective, which is better than the current mainstream methods.
As a group of college students who are about to enter social life and have a certain impact on socio-economic and technological development, their concepts and qualities will have a significant impact on social development. Therefore, in a complex and ever-changing social environment, schools should pay attention to educating college students in aspects such as their values, high moral literacy, and political awareness. Schools can take ideological and political education as the foundation, comprehensively educate students through the construction of a good academic atmosphere, and cultivate them into application-oriented high-quality talents. Based on this, this article mainly studies the construction methods of college students' academic style from the perspective of ideological and political education in the new era.
With the rapid development of the times, modern educational technology and traditional teaching mode have produced a more effective online + offline hybrid teaching mode in teachers' exploration and innovation. Through this hybrid mode of college English teaching, to a large extent, it can expand the actual classroom, and also enable students to fully carry out English learning outside the classroom, which has a very significant positive effect on college Students' English learning and the construction of college classroom.
The architecture and engineering industry employs resource-efficient sustainable building design (SBDC) to reduce greenhouse gas emissions and mitigate environmental damage. This study examines the understanding and practice of SBDC among Chinese architecture students. A survey of 555 undergraduates from China’s architecture universities was conducted. Two independent and seven dependent variables were analyzed to evaluate the impact of academic stages and practical experiences on students’ awareness. The findings reveal that over 70% of respondents consider SBDC important in architecture. More than half have taken courses with over 30% SBDC content. However, 45.85% of respondents only have a basic understanding of SBDC. This result underscores the significance of educational disparities, this insufficiency is likely due to inadequate coverage and representation of SBDC in the curriculum. Our study highlights the necessity of enhancing SBDC-related education within the current curriculum framework to ensure all students receive a systematic and comprehensive knowledge of sustainable building design.