{"title":"The Fusion of GeoGebra and High School Mathematics Culture","authors":"Fenglin Wu, Zhiwang Liu","doi":"10.25236/ajms.2023.040302","DOIUrl":"https://doi.org/10.25236/ajms.2023.040302","url":null,"abstract":": Mathematical culture is the embodiment of the value of mathematics and the condensation of the spirit of mathematics. Mathematics culture plays an important role in improving the current situation of mathematics classroom teaching in high school, promoting cultural quality education, responding to the new curriculum standard, and improving students' mathematical literacy requirements. Geogebra is simple to learn and contains all the features of other math software. Geogebra integrates with mathematical culture to visually demonstrate the beauty of culture and the interest in mathematics to students. The author sorted out some examples of mathematics culture in high school mathematics and showed the integration process of Geogebra and high school mathematics culture from four mathematics topics. The results show that the integration of GeoGebra and high school mathematics culture is conducive to enhancing students' attention to and interest in traditional culture, improving classroom efficiency and students' learning effect.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"22 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":"127048608","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 issue of maternity policy","authors":"Chen Yunuo, Yu Zhouze, Song Jingwei","doi":"10.25236/ajms.2022.030101","DOIUrl":"https://doi.org/10.25236/ajms.2022.030101","url":null,"abstract":"We establish a mathematical model for calculating fertility costs and fertility willingness, and analyze the index system of factors affecting the fertility costs of ordinary Chinese families. Firstly, we obtain the initial weights through the AHP method, and then construct the envelopes of the weights and fitted the curves. In addition, the BP neural network is used to predict the population growth with or without the three-child policy, to obtain the population in the next three years, and study the difference between the two to obtain the ratio of the difference to the population growth without the three-child policy, thereby obtaining the three-child policy. Finally, the main factors affecting fertility willingness and fertility cost at home and abroad are studied.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"1 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":"128967168","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":"Mathematical modeling and dynamic trading strategies for gold and bitcoin","authors":"Yan Chenge, Wu Zebin, Gan Haoyu, Zhu Ziwen","doi":"10.25236/ajms.2022.030107","DOIUrl":"https://doi.org/10.25236/ajms.2022.030107","url":null,"abstract":": In recent years, the gold-bitcoin market and corresponding trading strategies have received more scholarly attentions. Predicting gold and bitcoin prices from historical data is a specific stream in this academic area. Many scholars have used financial methods or statistical methods to construct trading models. However, one of the limitations is that few previous studies combined both financial and statistical methods. Therefore, the present study aims to build a mathematical model that predicts price dynamics of gold and bitcoin and utilizes some connections between finance and statistics. To achieve this goal, some financial indicators were computed and Holt-Winters’ Model was applied. The research result shows that a trading strategy can be developed with the help of our proposed model and trading shrink ratio, which functions as the risk controller. The sensitivity test indicates that the proposed model has little sensitivity towards commission fees, which means that the model can be widely used in similar situations. In general, this study outlines an analytical approach to evaluate profits in gold-bitcoin market. Traders can generate considerable profits from the proposed trading strategy.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"39 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":"124213118","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":"Center-focus identification of quasi-homogeneous polynomial planar rigid system","authors":"H. Tan","doi":"10.25236/ajms.2022.030105","DOIUrl":"https://doi.org/10.25236/ajms.2022.030105","url":null,"abstract":"For each quasi-homogeneous polynomial planar rigid system with weight (2,1), we prove that the origin is a center equilibrium when the degree is odd, and we obtain necessary and sufficient condition for the origin to be a center when the degree is even.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"11 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":"131146841","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":"Spatial and Temporal Evolution of Population-Weighted PM2.5 Concentration and Its Influencing Factors in China from 2000 to 2021","authors":"Zhe Wei, Shaoxiong Wu","doi":"10.25236/ajms.2023.040201","DOIUrl":"https://doi.org/10.25236/ajms.2023.040201","url":null,"abstract":": The repeated occurrences of severe haze in China in recent years have drawn increased attention from the public and government departments to the impact of pollutants on public health. In order to investigate the spatial and temporal distribution patterns and risks of PM2.5 population exposure levels in various regions of China, based on population-weighted PM2.5 concentration data, spatial autocorrelation analysis and geographic detector methods are used to reveal its overall spatial and temporal evolution patterns and local variation characteristics. The specific influences and interactions of population-weighted PM2.5 concentrations in China are also studied in four dimensions: socio-economic, climatic, geographic environment and policy. Finally, projections of population-weighted PM2.5 concentrations in China from 2019 to 2021 are made based on the main influencing factors. The study shows that (1) China's population-weighted PM2.5 concentrations decreased year by year from 2000 to 2018. (2) Spatial clustering of population-weighted PM2.5 concentrations in China is evident. (3) The population-weighted PM2.5 concentration in China showed a spatially heterogeneous pattern between 2000 and 2018. (4) At the national scale, the factor with the greatest explanatory power of China's population-weighted PM2.5 concentration is the average temperature. The interactions between the factors mainly show two types of interactions: two-factor enhancement and non-linear enhancement. (5) A prediction model of China's population-weighted PM2.5 concentration was established to predict the population-weighted PM2.5 concentration from 2019 to 2021 with high accuracy.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"81 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":"114837063","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":"How Can Random Walk Be Applied to Analysis Stock","authors":"NG Puishuen, J. Suo","doi":"10.25236/ajms.2022.030205","DOIUrl":"https://doi.org/10.25236/ajms.2022.030205","url":null,"abstract":": This paper discuss how the model of random walk applies in analyzing the stock price. Firstly, the graph of symmetric random walk and the graph of the stock price of the company AMD are shown to observe the similarity of them directly. Secondly, we give the stock price model driven by random walk theoretically. The result of our research helps us to understand the application of random walk on analyzing the stock price by deriving the equations","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"52 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":"130351960","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":"Rational mining & Better future","authors":"Xiankui Meng, Miaoling Lin, Wenjie Zheng","doi":"10.25236/ajms.2022.030109","DOIUrl":"https://doi.org/10.25236/ajms.2022.030109","url":null,"abstract":"UK Abstract: This paper addresses the issue of global equity under asteroid mining by first giving a definition of global equity: what you deserve matches what you get. Based on this, TOPSIS evaluation is used to assign scores to selected countries, and an allocation coefficient model is used to study the relationship between five indicators and country scores related to asteroid mining, and a sensitivity analysis is conducted to conclude that changes in indicators have a high impact on global equity. At this point, if global equity is to be achieved, the allocation rules must be specified with new allocation coefficients. Finally, this paper proposes scientific and constructive policies based on the above results, which are important for asteroid mining to benefit the world. The most important feature of this paper is to quantify global equity, and the established gray model and coefficient distribution model solve the difficulties of uncertainty of future asteroid mining, which are normative and easy to operate. At the same time, the established model can be extended to the scoring situation of countries based on various indicators, which can play a reference role in the formulation of future world equity policies.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"100 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":"116533101","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":"Numerical Characteristic Analysis of Order Statistics under Exponential Distribution","authors":"Xiaobo Wen","doi":"10.25236/ajms.2022.030204","DOIUrl":"https://doi.org/10.25236/ajms.2022.030204","url":null,"abstract":": The order statistic is a commonly used statistic, and the order statistic can be used to construct the sample interval, sample mid-range, sample difference and other statistics. This paper systematically analyzes the order statistics under the exponential distribution and the specific forms of the mathematical expectation, variance, covariance and other numerical characteristics of the above statistics constructed by the order statistics, and draws some new conclusions.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"40 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":"116629182","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":"Mathematical Model for Ordering and Transporting Raw Materials for Production Companies","authors":"Liang Gao, L. Cheng, Yanxiang Wang, Zhenwei Ma","doi":"10.25236/ajms.2022.030208","DOIUrl":"https://doi.org/10.25236/ajms.2022.030208","url":null,"abstract":": This paper analyzes the problem of ordering and transporting raw materials for production in an enterprise, and uses a linear programming model to solve the following problems: (1) The problem that suppliers cannot supply goods according to demand is solved. We use the TOPSIS evaluation model to weight each supplier according to different indicators to derive the importance value of suppliers and select 50 suppliers that meet the requirements. We analyze the data and calculate the minimum number of suppliers to supply raw materials to meet the demand of production, and construct a linear programming model to calculate the number of suppliers with the lowest cost under the condition of guaranteed capacity. (2) To solve the problem of certain loss of raw materials during transportation, we first consider the ordering quantity, price, transportation loss in transit, and storage price of raw materials; then we analyze the data and construct a multi-objective planning model, and find the final ordering plan and transit plan through a large amount of data analysis; finally, we analyze the feasibility of the plan. (3) In order to maximize the production capacity of the enterprise, the maximum supply quantity of the supplier is obtained through analysis, and the ordering scheme is determined by combining the supplier's past performance; the transshipment scheme is determined according to the ordering scheme and the transshipment loss rate.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"24 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":"114969811","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 productivity performance of NBA players and its influence factor","authors":"Xuanwu Wang, Juntao Shen, Jiaye Hou","doi":"10.25236/ajms.2023.040305","DOIUrl":"https://doi.org/10.25236/ajms.2023.040305","url":null,"abstract":": In this paper, we employ common statistical regression models to investigate the factors influencing NBA player performance. In addition, the accuracy of each model was evaluated accordingly","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":"115117443","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}