{"title":"Portfolio Optimization Strategy Based on Risk Diffusion Model in Emerging Industry Development","authors":"Shuangqin Ni, Shen Wang","doi":"10.2478/amns-2024-0110","DOIUrl":"https://doi.org/10.2478/amns-2024-0110","url":null,"abstract":"\u0000 In this paper, we first sort out the formula of the premium principle and the algorithm of the diffusion model and then study the strategy problem about optimal investment consumption and insurance purchase when investors invest in new developing industries under the risk diffusion model. In real financial markets, there are two types of uncertainty regarding asset prices: normal fluctuations and abnormal shocks. The risk diffusion model is used to plan the optimal investment strategy based on this basis. In the end, three tests are executed, including two numerical simulations and one investment analysis that determines the investor’s age. The computational results show that the optimal strategy in the first set of simulations is the 56% increase in investment volume A(x) at the parameter σ = 0.1. The standard deviation of the investor’s objective in the second set of simulations is 9.287%, and the investor’s assets invested in risky securities should be 1.071. In the third set of tests, as the investor’s age increases, the value of the investor’s investment in risky assets continues to decline from 2.0 after 30 years, and by the time it reaches 40 years, it is already close to 0.25, and there is a continued decline, converging to 0. Investors can invest in providing effective reference data by investing in the portfolio optimization strategy in this paper, which predicts stock market volatility and vibration.","PeriodicalId":52342,"journal":{"name":"Applied Mathematics and Nonlinear Sciences","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140519285","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analysis of carrying capacity of higher education based on topological number theory in the context of ecological theory of education","authors":"Huifang Dong, Dapeng Deng, Yusheng Liang","doi":"10.2478/amns-2024-0062","DOIUrl":"https://doi.org/10.2478/amns-2024-0062","url":null,"abstract":"\u0000 This paper focuses on analyzing the educational carrying capacity of colleges and universities by using topological number theory and the educational carrying capacity development index. The scale range of the educational carrying capacity of colleges and universities can be determined by identifying relevant definitions of topological space and some topological invariants. Using the relevant definitions of topological space to divide the college education-bearing intervals of different regions and combining the human development index and imbalance coefficient processing, we construct the formula of the balanced and sufficient development index of college education-bearing capacity, which is used to analyze the education bearing capacity of colleges and universities. Analyze different states of college education carrying capacity based on the college education carrying capacity bearing structure. Examine the educational carrying capacity of colleges and universities by examining their educational resource allocation with the help of human and financial resources. The results show that the teacher-student ratio of the urban function expansion area is 0.052, which is the smallest teacher-student ratio among all the districts, indicating that although the district is rich in teachers’ resources, the balanced and sufficient development index of the educational carrying capacity of colleges and universities in District A and District D is high, and the top two rankings have been maintained for a long period in the process of development, and the index of the balanced and sufficient development of education in District A will be 60 in 2021, which is in the area of the development of higher value of the educational carrying capacity.","PeriodicalId":52342,"journal":{"name":"Applied Mathematics and Nonlinear Sciences","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140519566","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Impact of Foreign Trade on Carbon Productivity Based on VAR Model","authors":"Xiujuan Zhao","doi":"10.2478/amns-2024-0823","DOIUrl":"https://doi.org/10.2478/amns-2024-0823","url":null,"abstract":"\u0000 Global carbon emissions and climate change are of increasing concern. As a critical indicator of the carbon efficiency of economic activities, carbon productivity has improved, resulting in a relative reduction in carbon emissions and output growth. As an essential part of the national economy, foreign trade profoundly impacts carbon productivity by promoting technology exchange, industrial upgrading, and structural adjustment. The carbon emission impact of foreign trade is not uniform, and there are noticeable differences between countries and regions. This paper examines how foreign trade affects carbon productivity and through which mechanisms, and further analyzes regional and industrial differences in these effects to provide a basis for the formulation of relevant policies. According to the study, there is a significant time lag effect on foreign trade’s impact on carbon productivity, and there are differences between industries and regions. Promoting foreign trade in this paper results in technological progress and improved carbon productivity, with an average improvement of 5.2%. By optimizing and adjusting industrial structure, carbon productivity is promoted better, with an increase of around 4.3%. High carbon emission industries have a relatively weak positive effect. Foreign trade positively impacts carbon productivity by promoting technological progress and industrial restructuring, but it is necessary to have differentiated policies for different industries and regions.","PeriodicalId":52342,"journal":{"name":"Applied Mathematics and Nonlinear Sciences","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140519875","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Research on high-precision digital image correlation measurement techniques for highly stable structures","authors":"Fenglong Yang, Bing Pan","doi":"10.2478/amns-2024-0539","DOIUrl":"https://doi.org/10.2478/amns-2024-0539","url":null,"abstract":"\u0000 This study proposes a novel digital image processing system that combines a diffraction-limited resolution (DLRF)-based measurement technique with a windowed form-center tracking algorithm. To evaluate the accuracy of this system, this paper compares and analyzes the effectiveness of conventional digital image techniques and DLRF-based methods for deformation displacement measurements. In addition, the study includes thermal stability tests under ambient noise and uniform high temperature conditions to evaluate the stability performance of the system in a complex environment. The experimental results show that the DLRF-based digital image correlation method proposed in this study performs well in reducing the mean deviation (from a maximum of 5.17 × 10-3 to 1.73 × 10-3) and root-mean-square error (from a maximum of 5.14 × 10-3 to 0.75 × 10-3). It is worth noting that the DLRF method is faster in processing when using the single-precision format than the double-precision format, with a speedup of up to 1.05 times. In addition, the multiple displacement averaging processing method can effectively filter the noise in the test, and the noise effect is only in the range of 0 to 2 μm in most areas. In the analysis of test points 10-34 and 57-80, the displacement error is controlled within 5 μm, indicating that the modified structural analysis model can be used for on-orbit micrometer-scale thermal deformation analysis. The study proves the high accuracy and stability of the digital image system proposed in this paper in the measurement of deformation displacement, which provides adequate technical support for accurate measurement in related fields.","PeriodicalId":52342,"journal":{"name":"Applied Mathematics and Nonlinear Sciences","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140520235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Digital Health Oriented Quality Grading and Evolutionary Study of International Trade Development","authors":"Kesheng Chen, Jianghao Chen","doi":"10.2478/amns-2024-0436","DOIUrl":"https://doi.org/10.2478/amns-2024-0436","url":null,"abstract":"\u0000 This article explores the impact of digital technological advances on international trade exchanges, notably regarding trade costs and barriers. The article first constructs a trade development measurement model for global trade costs and barriers, and analyzes in detail the development quality of international trade using a threshold effect model. In addition, a model for the development potential of international trade is constructed, and the evolution of its spatial pattern is investigated through global and local Moran indices. The empirical Analysis shows that the regression coefficients of economic level, trade potential and trade barriers are 0.228, 0.661 and −0.110, respectively. Analyzing from a macro perspective, the development quality of China’s international trade shows an upward trend between 2012 and 2022, with an overall improvement of about 38 percentage points. This result indicates that improving economic level and trade potential helps to promote the improvement of the development quality of international trade. In contrast, trade barriers may have an inhibiting effect on the development of international trade. By scientifically calculating the quality of international trade development and data visualization of its development process, the article provides effective ways and methods for the Analysis and research of international trade development.","PeriodicalId":52342,"journal":{"name":"Applied Mathematics and Nonlinear Sciences","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140520886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Exploring the Reform of College English Teaching from the Perspective of New Liberal Arts","authors":"Jinyang Qiu","doi":"10.2478/amns-2024-0063","DOIUrl":"https://doi.org/10.2478/amns-2024-0063","url":null,"abstract":"\u0000 The construction of new liberal arts requires college English teaching to introduce new concepts, utilize new technologies, and promote students’ effective learning through the intersection of disciplines and curricula, to cultivate integrative talents with innovative and practical abilities. Under the perspective of new liberal arts, this paper integrates deep commonality and uniqueness knowledge mining multimodal clustering, DCUMC algorithmic model and multimodal teaching means to construct a multimodal analysis model framework and reform the English teaching model in colleges and universities. In addition, the information entropy is used to improve the ID3 algorithm to construct multidimensional evaluation indexes for college English teaching, and the improved ID3 algorithm is used for data mining of multidimensional evaluation so that teachers can adjust the teaching progress and difficulty according to real-time and accurate feedback information. Experiments are conducted on multimodal teaching mode and teaching evaluation, and the experimental results show that compared with the traditional teaching mode, the average scores of multimodal English teaching mode after five months are 96 and 85, which is an improvement of 11 points, 69.58%, 67.93%, 56.25%, and 53.79% higher in the ratio of excellent and good evaluations, respectively. Compared to the single teaching evaluation, the multidimensional evaluation points out that the traditional teaching mode needs more designer-student interaction as well as a reduction in the difficulty of the teaching content. In conclusion, the multimodal English teaching model can effectively improve teaching effectiveness and is implementable.","PeriodicalId":52342,"journal":{"name":"Applied Mathematics and Nonlinear Sciences","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140526047","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Research on Modeling Analysis and Risk Early Warning of Regional Financial Stability Based on VAR Model--Taking Henan Province of China as an Example","authors":"Jie Liu, Hongjing Jiang, Xiying Zheng","doi":"10.2478/amns-2024-0423","DOIUrl":"https://doi.org/10.2478/amns-2024-0423","url":null,"abstract":"\u0000 This paper synthesizes the influencing factors of financial stability in Henan Province, selects indicators from both internal and external aspects, and determines the index system of economic stability in Henan Province. On this basis, the entropy method is utilized to attach weights to each indicator, and the impulse response and Granger causality test in the VAR model is used to detect the financial stability of Henan Province. In addition, considering that financial risk early warning is critical to the economic security of the country and Henan Province, the principal component analysis method is further used to screen the risk warning indicators, construct a VAR model for financial risk early warning in Henan Province, and analyze the financial risk based on the comprehensive risk warning score. The results show that the risk status of banking financial institutions (16.3252) is relatively poor, while the complete risk status of financial guarantee institutions (42.62864) is at the warning level, and the VAR model accurately reveals the financial stability and risk status of Henan Province. This study provides theoretical knowledge for the modeling analysis of financial stability and risk early warning research in Henan Province, which is of great practical significance for improving the effect of local financial supervision in Henan Province and maintaining the stable operation of finance in Henan Province.","PeriodicalId":52342,"journal":{"name":"Applied Mathematics and Nonlinear Sciences","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140526397","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Research on Multiple Optimization of Engineering Management Models under the Concept of Environmental Protection","authors":"Junhong Lin","doi":"10.2478/amns-2024-0579","DOIUrl":"https://doi.org/10.2478/amns-2024-0579","url":null,"abstract":"\u0000 With the continuous development of social economy, engineering management technology is becoming increasingly mature, and multi-objective optimization technology is widely used in engineering management. Based on the traditional schedule, cost and quality model, the article introduces the environmental factor as the fourth optimization objective and constructs a comprehensive four-objective optimization model. The model starts from the concept of environmental protection, and proposes the modeling method of ecological indicators for deterministic and non-deterministic conditions. The article utilizes the multi-objective comprehensive optimization model to conduct an in-depth analysis of the engineering management condition of S project. After the engineering management optimization implementation, the optimization scheme showed that the planned duration was shortened to 324 days, which saved 12.9% of the construction time compared to the initial scheme and 1.81 million RMB in cost. In addition, the project achieved an average value of 0.9167 for quality reliability and a reduction in environmental impact to 296.48, which met the expected criteria in the S-engineering contract. The research in this paper not only provides a new type of multi-objective optimization method integrating the concept of environmental protection for project management, but also proves the effectiveness and practicability of this method in actual projects through example analysis.","PeriodicalId":52342,"journal":{"name":"Applied Mathematics and Nonlinear Sciences","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140517842","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Research on the development of college students’ sports program based on multi-objective optimization algorithm","authors":"Shuai Song","doi":"10.2478/amns-2024-0021","DOIUrl":"https://doi.org/10.2478/amns-2024-0021","url":null,"abstract":"\u0000 In recent years, the physical fitness of college students has been declining year by year, which has become the focus of national concern. In this paper, firstly, the human body motion tracking based on a multi-objective optimization algorithm is applied in the auxiliary training of college students’ sports to provide data support for the formulation of sports plans, and the Chebyshev function evolution calculation is used to obtain the Pareto optimal solution for sports training. Secondly, the similarity function between the two-dimensional projection of the skeleton and the silhouette of the image is established in the constructed human body model so as to calculate the multi-objective optimization function. The optimized training plan was specifically analyzed after analyzing the sports assessment of college students in X school. The results show that compared with the conventional training plan, the optimized training plan has more sports load intensity indexes distributed between 1.5 and 2.0, indicating that the plan is more scientific and effective. The research presented in this paper can be a valuable resource for the creation of sports programs for college students.","PeriodicalId":52342,"journal":{"name":"Applied Mathematics and Nonlinear Sciences","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140517857","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Construction of Knowledge Mapping of College Students’ Civic and Political Informatization Education in Colleges and Universities","authors":"Yu Zheng","doi":"10.2478/amns-2024-0185","DOIUrl":"https://doi.org/10.2478/amns-2024-0185","url":null,"abstract":"\u0000 This paper combines the knowledge related to the Knowledge Graph to store and manage the ideological knowledge in the schema layer in the form of an ontology repository. The Bootstrapping-based extraction method has been improved for entity relationship extraction at the data layer, and semantically constrained relationships have been added to reduce the problem of extraction bias. Civics education’s characteristic attributes are identified through attribute extraction using crowdsourcing. For the entity alignment problem in entity extraction, the relationship triad and attribute triad are jointly used for entity vector characterization, and the entity alignment model based on BERT and TransE is proposed. Finally, in the process of testing knowledge mapping, more than 70% of college students were satisfied, and the percentage of college students agreeing and strongly agreeing in the dimensions of knowledge construction were 68.81%, 77.92%, and 75.63%, respectively. In the six dimensions of positive psychological quality of college students who have used knowledge mapping, there is a significant increase in the data of the courage dimension from 3.4 to 4.14, and the other dimensions have also increased. The performance of the knowledge graph constructed in this paper for civic information education is outstanding.","PeriodicalId":52342,"journal":{"name":"Applied Mathematics and Nonlinear Sciences","volume":null,"pages":null},"PeriodicalIF":3.1,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140517863","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}