In the context of big data, the era of educational informatization has fully arrived, making the influence of information technology on language disciplines not to be underestimated. This has promoted vocational English teaching from the original slide multimodal demonstration teaching to the multimodal teaching stage relying on micro courses, playing a good synergistic role in improving English teaching classrooms, innovating teaching reforms, and improving students' English listening, speaking, reading, and writing abilities.

This paper discusses the construction strategy of innovation and entrepreneurship education path for college students under the background of digital economy. Firstly, this paper analyzes the characteristics of digital economy and its influence on higher education, and then puts forward four core construction paths for college students' innovation and entrepreneurship education: integrating digital skills and knowledge, promoting practice and innovative thinking, interdisciplinary integration and collaborative learning, and linking industry and academia. Each path discusses the specific implementation and expected effect in detail. The purpose of this study is to provide higher education institutions with effective methods and strategies to cultivate students with innovative spirit and entrepreneurial ability in the era of digital economy.

Leaf litter decomposition and carbon release patterns in five homegarden tree species of Kumaun Himalaya viz. Ficus palmata, Ficus auriculata, Ficus hispida, Grewia optiva and Celtis austalaris were investigated. The study was carried out for 210 days by using litter bag technique. In the current investigation, the duration needed for desertion of the original biomass of diverse leaf litter varied from 150 to 210 days and specifies a varying pattern of decomposition and carbon release among the species. Grewia optiva took the longest time to decompose (210 days) while Ficus hispida decomposed more quickly than rest of the species (150 days). The relative decomposition rate (RDR) was reported highest in Ficus hispida (0.009-0.02 g-1d-1) and lowest in Grewia optiva (0.008-0.004 g-1d-1). Carbon (%) in remaining litter was in the order: Ficus auriculata (24.4 %) >Ficus hispida (24.3%) > Celtis austaralis (19.8%) > Ficus palmata (19.7%) > Grewia optiva (19%). The relationship between percentage weight loss and time elapsed showed the significant negative correlation with carbon release pattern in all the species. Releasing nutrients into the soil through the decomposition of homegarden tree residuals is a crucial ecological function that also regulates the nutrient recycling in homegarden agroforestry practices.

A theory of many-body wave scattering is developed under the assumption a << d << λ, where a is the characteristic size of the small body, d is the distance between neighboring bodies and λ is the wave-length in the medium in which the bodies are embedded. The multiple scattering is essential under these assumptions. The author’s theory is used for creating materials with a desired refraction coefficient. This theory can be used in practice. A recipe for creating materials with a desired refraction coefficient is formulated. Materials with a desired radiation pattern, for example, wave-focusing materials, can be created.