Pub Date : 1900-01-01DOI: 10.25236/ajms.2022.030104
Yuting Liu
: This paper discusses the problems related to the construction of ecological civilization based on the TOPSIS algorithm model. We also launched a mathematical modeling and other related analysis on the construction of ecological civilization in some provinces and cities in China based on the latest data in 2022. Under the consideration of various factors, we finally clarified the social security, ecological economy. The four levels of indicators are ecological security and environmental friendliness. For these four feasible evaluation indicators, we firstly list the attribute measures of single indicators, secondly find out the attribute measures of multiple indicators, and finally realize the attribute grading. Since there are many differences between regions in terms of economy and geographical location in the process of ecological civilization construction, we extensively collected and analyzed the latest data on ecological civilization construction in five provinces and cities, namely Sichuan, Chongqing, Guizhou, Hubei, and Yunnan, in recent years. We conducted a detailed and specific analysis of the problems that emerged during the study of the problem, evaluated the advantages and disadvantages of the model, and concluded that the results of the operational model were consistent with the real situation and its reference value was very reliable. In addition, we generalized the model to solve other practical problems with common features.
{"title":"Research on the evaluation of ecological civilization construction based on TOPSIS","authors":"Yuting Liu","doi":"10.25236/ajms.2022.030104","DOIUrl":"https://doi.org/10.25236/ajms.2022.030104","url":null,"abstract":": This paper discusses the problems related to the construction of ecological civilization based on the TOPSIS algorithm model. We also launched a mathematical modeling and other related analysis on the construction of ecological civilization in some provinces and cities in China based on the latest data in 2022. Under the consideration of various factors, we finally clarified the social security, ecological economy. The four levels of indicators are ecological security and environmental friendliness. For these four feasible evaluation indicators, we firstly list the attribute measures of single indicators, secondly find out the attribute measures of multiple indicators, and finally realize the attribute grading. Since there are many differences between regions in terms of economy and geographical location in the process of ecological civilization construction, we extensively collected and analyzed the latest data on ecological civilization construction in five provinces and cities, namely Sichuan, Chongqing, Guizhou, Hubei, and Yunnan, in recent years. We conducted a detailed and specific analysis of the problems that emerged during the study of the problem, evaluated the advantages and disadvantages of the model, and concluded that the results of the operational model were consistent with the real situation and its reference value was very reliable. In addition, we generalized the model to solve other practical problems with common features.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122439407","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}
Pub Date : 1900-01-01DOI: 10.25236/ajms.2022.030206
Tongtong Jia, Kongming Ai
: The consumer price index (CPI) reflects the relationship between the price changes of goods and services related to the life of residents and is an important indicator to evaluate the level of inflation. Because of the high randomness and volatility of CPI under the infectious diseases, it is very difficult to predict its trend accurately.In this paper, we combine the monthly CPI data of Beijing from January 2020 to July 2022, and use the ARIMA model, GM (1,1) and BP neural network model as the basis of the combined model to forecast the CPI of Beijing under the infectious diseases using two methods: ultra-short-term forecasting and conventional forecasting. It is obtained that the combined model has better forecasting effect than the single model, and the ultra-short-term forecasting effect is better than the conventional forecasting. Among them, the combination model using ARIMA-GM-BP for ultra-short-term forecasting is the best. Finally, the model and method were applied to forecast the CPI of Beijing in August as 102.079.
{"title":"Forecast of Consumer Price Index-Take Beijing as an example","authors":"Tongtong Jia, Kongming Ai","doi":"10.25236/ajms.2022.030206","DOIUrl":"https://doi.org/10.25236/ajms.2022.030206","url":null,"abstract":": The consumer price index (CPI) reflects the relationship between the price changes of goods and services related to the life of residents and is an important indicator to evaluate the level of inflation. Because of the high randomness and volatility of CPI under the infectious diseases, it is very difficult to predict its trend accurately.In this paper, we combine the monthly CPI data of Beijing from January 2020 to July 2022, and use the ARIMA model, GM (1,1) and BP neural network model as the basis of the combined model to forecast the CPI of Beijing under the infectious diseases using two methods: ultra-short-term forecasting and conventional forecasting. It is obtained that the combined model has better forecasting effect than the single model, and the ultra-short-term forecasting effect is better than the conventional forecasting. Among them, the combination model using ARIMA-GM-BP for ultra-short-term forecasting is the best. Finally, the model and method were applied to forecast the CPI of Beijing in August as 102.079.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128815653","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}
Pub Date : 1900-01-01DOI: 10.25236/ajms.2023.040210
Jingzu Xia, Leyang Yu, Yuli Wang
: The spread of hot topics on the internet can easily attract public attention and discussion. However, the spread of rumours can cause social instability, while positive media guidance can generate economic value. Therefore, developing a model that can understand the propagation of popular topics on the internet is a worthwhile pursuit. In this study, a hybrid model is developed by combining the SEIRS (Susceptible-Exposed-Infected-Recovered-Susceptible) infectious disease model to simulate the overall trend and the ARIMA (Autoregressive Integrated Moving Average) model to simulate noise, to explain internet hot topic propagation. Using the wordle game as a case study, the model exhibits a notable capability in conforming to the general pattern and the majority of the minor variations, while demonstrating a high degree of interpretability.
{"title":"A Method for Simulating the Propagation of Network Hot Topics Based on Combined SEIRS-ARIMA Model","authors":"Jingzu Xia, Leyang Yu, Yuli Wang","doi":"10.25236/ajms.2023.040210","DOIUrl":"https://doi.org/10.25236/ajms.2023.040210","url":null,"abstract":": The spread of hot topics on the internet can easily attract public attention and discussion. However, the spread of rumours can cause social instability, while positive media guidance can generate economic value. Therefore, developing a model that can understand the propagation of popular topics on the internet is a worthwhile pursuit. In this study, a hybrid model is developed by combining the SEIRS (Susceptible-Exposed-Infected-Recovered-Susceptible) infectious disease model to simulate the overall trend and the ARIMA (Autoregressive Integrated Moving Average) model to simulate noise, to explain internet hot topic propagation. Using the wordle game as a case study, the model exhibits a notable capability in conforming to the general pattern and the majority of the minor variations, while demonstrating a high degree of interpretability.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132618939","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}
Pub Date : 1900-01-01DOI: 10.25236/ajms.2023.040204
H. Xu, Hongyue Chen, Pei Ye
: This paper selects the data of 20 developing countries and developed countries from 2012 to 2021 as samples, and constructs a social stability early warning model based on TOPSIS and entropy weight method. The evaluation results of the social stability early warning model are divided into five grades from high to low: no police, light police, middle police, heavy police and huge police. Choose belarus as a case, the use of social stability early warning model determine belarus belongs to the police countries, combined with the model through political, economic, social and other factors four aspects points out the cause of the color revolution failure, and judge in addition to the future social stability from the police to heavy police trend, based on this to belarus from political, economic, social and other aspects. This paper has some reference significance for preventing color revolution and promoting social stability.
{"title":"Research on the construction of social stability early warning model based on TOPSIS and entropy weight method","authors":"H. Xu, Hongyue Chen, Pei Ye","doi":"10.25236/ajms.2023.040204","DOIUrl":"https://doi.org/10.25236/ajms.2023.040204","url":null,"abstract":": This paper selects the data of 20 developing countries and developed countries from 2012 to 2021 as samples, and constructs a social stability early warning model based on TOPSIS and entropy weight method. The evaluation results of the social stability early warning model are divided into five grades from high to low: no police, light police, middle police, heavy police and huge police. Choose belarus as a case, the use of social stability early warning model determine belarus belongs to the police countries, combined with the model through political, economic, social and other factors four aspects points out the cause of the color revolution failure, and judge in addition to the future social stability from the police to heavy police trend, based on this to belarus from political, economic, social and other aspects. This paper has some reference significance for preventing color revolution and promoting social stability.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130979121","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}
Pub Date : 1900-01-01DOI: 10.25236/ajms.2022.030110
Xiayi Zhang
: In order to study the changes of China's fund market, this paper carries out time series modeling and fitting prediction on the series based on the monthly series data of Shanghai Securities Fund Index from January 2010 to December 2019. EGARCH (1,1) model has a good fitting effect on Shanghai Securities Fund Index series, all parameters are not 0, and the residual series of the model is tested to obey the standard normal distribution. Finally, the fitted model is used to predict the Shanghai Securities Fund Index from January to May 2020, and compare it with the real value to test the accuracy of the model. The results show that the actual values are within the prediction interval of 95% confidence coefficient, and the fitting effect of the model is superior.
{"title":"Empirical Analysis of Fund Index Volatility Based on Conditional Heteroscedasticity Model","authors":"Xiayi Zhang","doi":"10.25236/ajms.2022.030110","DOIUrl":"https://doi.org/10.25236/ajms.2022.030110","url":null,"abstract":": In order to study the changes of China's fund market, this paper carries out time series modeling and fitting prediction on the series based on the monthly series data of Shanghai Securities Fund Index from January 2010 to December 2019. EGARCH (1,1) model has a good fitting effect on Shanghai Securities Fund Index series, all parameters are not 0, and the residual series of the model is tested to obey the standard normal distribution. Finally, the fitted model is used to predict the Shanghai Securities Fund Index from January to May 2020, and compare it with the real value to test the accuracy of the model. The results show that the actual values are within the prediction interval of 95% confidence coefficient, and the fitting effect of the model is superior.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134613156","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}
Pub Date : 1900-01-01DOI: 10.25236/ajms.2023.040207
{"title":"Global national equity assessment based on comprehensive evaluation model","authors":"","doi":"10.25236/ajms.2023.040207","DOIUrl":"https://doi.org/10.25236/ajms.2023.040207","url":null,"abstract":"","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128637476","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}
Pub Date : 1900-01-01DOI: 10.25236/ajms.2023.040202
Shengjie Guo, Weiqiang Liang
: Based on the complex network theory, this paper focuses on the passing network of Argentina and France, measures the robustness of the network from multiple static indicators, and analyzes the changes of multiple indicators of the network through the attack on the network. The analysis shows that the Argentina team has more advantages in the effective scale and connectivity of the network, and the French team has stronger network robustness. Both networks are more robust under random attack and less robust under target attack.
{"title":"Analysis of the World Cup Pass Network Based on Complex Network Theory","authors":"Shengjie Guo, Weiqiang Liang","doi":"10.25236/ajms.2023.040202","DOIUrl":"https://doi.org/10.25236/ajms.2023.040202","url":null,"abstract":": Based on the complex network theory, this paper focuses on the passing network of Argentina and France, measures the robustness of the network from multiple static indicators, and analyzes the changes of multiple indicators of the network through the attack on the network. The analysis shows that the Argentina team has more advantages in the effective scale and connectivity of the network, and the French team has stronger network robustness. Both networks are more robust under random attack and less robust under target attack.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"109 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127103580","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}
Pub Date : 1900-01-01DOI: 10.25236/ajms.2023.040306
Yang Wang
: This paper compares and analyzes the content of the Australian VCE mathematics course "Mathematical Methodology" textbook with that of the Chinese version of the exponential and logarithmic functions. A quantitative model of the difficulty coefficient of the course is used. The main aspects of the comparative analysis are the distribution of knowledge points and the order of arrangement, the difficulty of the course, and the setting of examples and exercises.
{"title":"A Comparative Study of Chinese and Australian Senior Secondary Mathematics Teaching Materials—Exponential, Logarithmic Functions as an Example","authors":"Yang Wang","doi":"10.25236/ajms.2023.040306","DOIUrl":"https://doi.org/10.25236/ajms.2023.040306","url":null,"abstract":": This paper compares and analyzes the content of the Australian VCE mathematics course \"Mathematical Methodology\" textbook with that of the Chinese version of the exponential and logarithmic functions. A quantitative model of the difficulty coefficient of the course is used. The main aspects of the comparative analysis are the distribution of knowledge points and the order of arrangement, the difficulty of the course, and the setting of examples and exercises.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126452748","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}
Pub Date : 1900-01-01DOI: 10.25236/ajms.2022.030210
{"title":"A model for compositional analysis of ancient glass products based on correlation analysis","authors":"","doi":"10.25236/ajms.2022.030210","DOIUrl":"https://doi.org/10.25236/ajms.2022.030210","url":null,"abstract":"","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129641824","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}
Pub Date : 1900-01-01DOI: 10.25236/ajms.2023.040301
Approches, Shengzhong Zhanga, Lei Yub, Yinqian Chengc
: The purpose of image compression is to reduce the number of bits required to represent data by removing data redundancy. Due to the large amount of image data, it is very difficult to store, transmit, and process, so the compression of image data becomes very important. This article introduced several lossless compression approaches such as Huffman, Fano, Run Length, Arithmetic, and LZW (Lempel–Ziv–Welch) Coding. The approach which can achieve compact code is regarded as closing to the best solution.
{"title":"An Introduction of Image Lossless Compression Approches","authors":"Approches, Shengzhong Zhanga, Lei Yub, Yinqian Chengc","doi":"10.25236/ajms.2023.040301","DOIUrl":"https://doi.org/10.25236/ajms.2023.040301","url":null,"abstract":": The purpose of image compression is to reduce the number of bits required to represent data by removing data redundancy. Due to the large amount of image data, it is very difficult to store, transmit, and process, so the compression of image data becomes very important. This article introduced several lossless compression approaches such as Huffman, Fano, Run Length, Arithmetic, and LZW (Lempel–Ziv–Welch) Coding. The approach which can achieve compact code is regarded as closing to the best solution.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131224488","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}
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