On the sum of reciprocal generalized Fibonacci numbers

In this paper, we consider infinite sums derived from the reciprocals of the generalized Fibonacci numbers. We obtain some new and interesting identities for the generalized Fibonacci numbers

VertiBench: Advancing Feature Distribution Diversity in Vertical Federated Learning Benchmarks

Vertical Federated Learning (VFL) is a crucial paradigm for training machine learning models on feature-partitioned, distributed data. However, due to privacy restrictions, few public real-world VFL datasets exist for algorithm evaluation, and these represent a limited array of feature distributions. Existing benchmarks often resort to synthetic datasets, derived from arbitrary feature splits from a global set, which only capture a subset of feature distributions, leading to inadequate algorithm performance assessment. This paper addresses these shortcomings by introducing two key factors affecting VFL performance - feature importance and feature correlation - and proposing associated evaluation metrics and dataset splitting methods. Additionally, we introduce a real VFL dataset to address the deficit in image-image VFL scenarios. Our comprehensive evaluation of cutting-edge VFL algorithms provides valuable insights for future research in the field

A Review Research on the correlations among Carbon Emissions, Industrial Structure, and Economic Growth

The current situation of industrial structure and economic growth in China is analyzed first, and then collects, sorts, classifies and summarizes relevant studies on the correlations among economic growth, industrial structure, and carbon emissions, and reviews and summarizes the research methods

The thermal and electrical properties of the promising semiconductor MXene Hf2CO2

In this work, we investigate the thermal and electrical properties of oxygen-functionalized M2CO2 (M = Ti, Zr, Hf) MXenes using first-principles calculations. Hf2CO2 is found to exhibit a thermal conductivity better than MoS2 and phosphorene. The room temperature thermal conductivity along the armchair direction is determined to be 86.25-131.2 Wm-1K-1 with a flake length of 5-100 um, and the corresponding value in the zigzag direction is approximately 42% of that in the armchair direction. Other important thermal properties of M2CO2 are also considered, including their specific heat and thermal expansion coefficients. The theoretical room temperature thermal expansion coefficient of Hf2CO2 is 6.094x10-6 K-1, which is lower than that of most metals. Moreover, Hf2CO2 is determined to be a semiconductor with a band gap of 1.657 eV and to have high and anisotropic carrier mobility. At room temperature, the Hf2CO2 hole mobility in the armchair direction (in the zigzag direction) is determined to be as high as 13.5x103 cm2V-1s-1 (17.6x103 cm2V-1s-1), which is comparable to that of phosphorene. Broader utilization of Hf2CO2 as a material for nanoelectronics is likely because of its moderate band gap, satisfactory thermal conductivity, low thermal expansion coefficient, and excellent carrier mobility. The corresponding thermal and electrical properties of Ti2CO2 and Zr2CO2 are also provided here for comparison. Notably, Ti2CO2 presents relatively low thermal conductivity and much higher carrier mobility than Hf2CO2, which is an indication that Ti2CO2 may be used as an efficient thermoelectric material.Comment: 26 pages, 5 figures, 2 table

Research on Degree Program Construction Platform Scheme Based on Data Fusion Thinking

The article analyzes the existing system for evaluating the construction of degree programs, sorts out the requirements for various work tasks such as application, assessment, evaluation, and inspection, and extracts various data information related to the direction, teachers, students, teaching and research, process, quality, and other aspects of degree program construction. On this basis, a degree program construction platform scheme was designed using data fusion thinking, taking into account all relevant work related to degree program construction, and unifying the management of data related to degree program construction. This has a positive promoting effect on the long-term construction and efficient management of degree programs, and is also a beneficial attempt to modernize the governance system and governance capabilities of the degree programs

E xperimental teaching reform of digital electronic technology course in local colleges and universities under the construction of new engineering

The proposal of “new engineering” is to guide colleges and universities to set up and build engineering disciplines and specialties that face the future development, meet the needs of industry and serve the national development strategy, and cultivate a group of innovative and composite excellent engineering talents. Based on the background of the construction of “new engineering”, the teaching reform of engineering experiment courses in local colleges and universities has been constantly promoted, which helps the construction of “new engineering” from the aspects of experiment content and experimental teaching methods, and helps students develop the ability of innovation and entrepreneurship and interdisciplinary integration. Taking the digital electronic technology course of local colleges and universities as an example, this paper discusses the experimental teaching reform of digital electronic technology course under the background of new engineering construction, and puts forward several teaching reform strategies, hoping to provide some eff ective ideas for promoting the subject construction and experimental teaching reform of local colleges and universities