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Nonlinear Programming Model Based on Monte Carlo Simulation 基于蒙特卡罗仿真的非线性规划模型
Academic Journal of Mathematical Sciences Pub Date : 1900-01-01 DOI: 10.25236/ajms.2022.030202
Yudong Wang, Xiaochen Shi, Ruitao Dong, Mingzi Li
{"title":"Nonlinear Programming Model Based on Monte Carlo Simulation","authors":"Yudong Wang, Xiaochen Shi, Ruitao Dong, Mingzi Li","doi":"10.25236/ajms.2022.030202","DOIUrl":"https://doi.org/10.25236/ajms.2022.030202","url":null,"abstract":": This paper focuses on planning the choice of raw material ordering and transportation solutions for enterprises, and gives the most economical ordering and forwarding solutions for enterprises through quantitative analysis of supplier supply characteristics; and predicts the future production capacity of enterprises through time series analysis models, and finally gives the optimal ordering and transportation strategies. Among them, according to the existing optimal forwarder transshipment scheme to supplement, on the basis of the original consideration of the cost required for the production of enterprises, the model is improved, by increasing the target letter material type purchase limits, the establishment of multi-objective planning model based on Monte Carlo simulation to solve the optimal procurement scheme, the development of transshipment scheme. On this basis, the supplier supply data given in the article is divided in 240 weeks, 24 weeks as a cycle, and its long-term trend fluctuation over time is judged by drawing a time series diagram through SPSS, and the enterprise capacity prediction is made in cycles. In this paper, we find out the single-week capacity by selecting the capacity factor prediction, optimize the model, and substitute it into the improved multi-objective planning model to get the optimal strategy for purchasing and forwarding.","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":"132259479","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}
引用次数: 0
Rolle Theorem and Radon-Nikodym Theorem in Bochner Cost Bochner成本中的Rolle定理和Radon-Nikodym定理
Academic Journal of Mathematical Sciences Pub Date : 1900-01-01 DOI: 10.25236/ajms.2022.030102
Chenyuan Tian, Daohong Liu
{"title":"Rolle Theorem and Radon-Nikodym Theorem in Bochner Cost","authors":"Chenyuan Tian, Daohong Liu","doi":"10.25236/ajms.2022.030102","DOIUrl":"https://doi.org/10.25236/ajms.2022.030102","url":null,"abstract":"This paper are divided into two mains parts with different affairs to discuss. The first part are some history of how the modern strict mathmaticala analysis built up. And there’s a simple counterexample for Rolle theorem. As we all known Rolle theorem has three requirement to work out. So, there’s some counterexamples for which there’s only two requirements exist, and what is going to happen. The second part gives two counterexamples on Radon-Nikodym theorem and Riesz theorem in the meaning of vector measure. Then there’s a proof for the equivalent of the Radon-Nikodym theorem and Riesz theorem in the meaning of vector measure. Some recent research are given at the last, which means it’s still a vigor field nowadays.","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":"134643486","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}
引用次数: 0
Exploration of Mathematical Thinking Methods in Machine Learning Algorithms 机器学习算法中数学思维方法的探索
Academic Journal of Mathematical Sciences Pub Date : 1900-01-01 DOI: 10.25236/ajms.2023.040303
Ruyun Liu
{"title":"Exploration of Mathematical Thinking Methods in Machine Learning Algorithms","authors":"Ruyun Liu","doi":"10.25236/ajms.2023.040303","DOIUrl":"https://doi.org/10.25236/ajms.2023.040303","url":null,"abstract":": Artificial intelligence and statistics development have given rise to machine learning about data analysis. This emerging discipline is a key direction for researchers in the field of data analysis to explore. Moreover, machine learning refers to the acquisition of new experiences and knowledge by computers through inherent regular information, thus enhancing the intelligence of computers for the purpose of making decisions like humans. With the advancement of computer science, the exploration and application of machine learning has made great achievements. Additionally, studying the mathematical theory of machine learning plays an important role in the advancement of computers. Therefore, in this context, this paper explores the mathematical thinking related to machine learning, starting from several popular machine learning techniques.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"46 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":"128046288","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}
引用次数: 0
Based on the necessity of mathematical life social investigation research 基于数学生活社会调查研究的必要性
Academic Journal of Mathematical Sciences Pub Date : 1900-01-01 DOI: 10.25236/ajms.2022.030207
Yimeng Fang
{"title":"Based on the necessity of mathematical life social investigation research","authors":"Yimeng Fang","doi":"10.25236/ajms.2022.030207","DOIUrl":"https://doi.org/10.25236/ajms.2022.030207","url":null,"abstract":": From the perspective of education and teaching, this paper takes mathematics education as an example. According to the questionnaire statistics of middle school students and college students on the application of mathematics in life, it leads to the necessity of mathematics in life. Applying the advantages of education and teaching methods at home and abroad, and combining the current mathematics education and teaching in our country, this paper expounds the theoretical value and practical application value of mathematics in life, aiming to make students realize the true meaning of mathematics and integrate mathematics into our daily life.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"96 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":"124301280","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}
引用次数: 0
Noisy image segmentation model combining PDE and improved variational level set method 结合PDE和改进变分水平集方法的噪声图像分割模型
Academic Journal of Mathematical Sciences Pub Date : 1900-01-01 DOI: 10.25236/ajms.2022.030106
{"title":"Noisy image segmentation model combining PDE and improved variational level set method","authors":"","doi":"10.25236/ajms.2022.030106","DOIUrl":"https://doi.org/10.25236/ajms.2022.030106","url":null,"abstract":"","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"119 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":"123112092","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}
引用次数: 0
Forecast of bond issuance based on ESG score 基于ESG评分的债券发行预测
Academic Journal of Mathematical Sciences Pub Date : 1900-01-01 DOI: 10.25236/ajms.2023.040309
Mingxuan Zhao, Hao Wu, Le Liu, Xiping Mao
{"title":"Forecast of bond issuance based on ESG score","authors":"Mingxuan Zhao, Hao Wu, Le Liu, Xiping Mao","doi":"10.25236/ajms.2023.040309","DOIUrl":"https://doi.org/10.25236/ajms.2023.040309","url":null,"abstract":": With the rising focus on low-carbon initiatives, interest in sustainable products and services, including cap-and-trade policies, green bonds, and low-carbon stocks, has surged. This study comprehensively investigates how Environmental, Social, and Governance (ESG) scores influence bond issuance. Employing state-of-the-art research methods and techniques, we ensure data quality through preprocessing, including handling missing values and normalization. Our predictive model, powered by machine learning algorithms such as linear regression, KNNR, XGB, and LGBM, adeptly captures relationships and handles high-dimensional features. Feature engineering further enhances model performance. Rigorous cross-validation and evaluation metrics like RMSE, MAE, and R2 ensure objectivity. Our research offers valuable insights for investors, issuers, and regulators in sustainable finance decision-making.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"124 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":"133354459","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}
引用次数: 0
Research on the trend of Chinese stock market based on Monte Carlo simulation method 基于蒙特卡罗模拟法的中国股票市场走势研究
Academic Journal of Mathematical Sciences Pub Date : 1900-01-01 DOI: 10.25236/ajms.2022.030201
Zhu Qingquan
{"title":"Research on the trend of Chinese stock market based on Monte Carlo simulation method","authors":"Zhu Qingquan","doi":"10.25236/ajms.2022.030201","DOIUrl":"https://doi.org/10.25236/ajms.2022.030201","url":null,"abstract":": The quantitative trading strategy of stock market in developed countries has been very mature, but the quantitative trading strategy of China's stock market has only begun to develop in recent years. In this paper, the closing levels of CSI 300 Index from 2002 to 2022 were selected as the research objects. Monte Carlo simulation method was used to simulate the closing levels of the next 30 trading days, and the simulation results of the last trading day were counted and analyzed. It is found that most of the results of Monte Carlo simulation are in the reasonable range, and the occasional extreme case has similar cases in history. Therefore, the use of Monte Carlo simulation can roughly simulate the future period of income and risk situation, to provide a certain degree of help for investors to make decisions.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"75 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":"115068604","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}
引用次数: 0
Visualization and Analysis of Three-Dimensional Linear Harmonic Oscillator 三维线性谐振子的可视化与分析
Academic Journal of Mathematical Sciences Pub Date : 1900-01-01 DOI: 10.25236/ajms.2023.040307
Sihui Yan, Jie Huang
{"title":"Visualization and Analysis of Three-Dimensional Linear Harmonic Oscillator","authors":"Sihui Yan, Jie Huang","doi":"10.25236/ajms.2023.040307","DOIUrl":"https://doi.org/10.25236/ajms.2023.040307","url":null,"abstract":": Quantum mechanics holds a very important position as the theoretical foundation of the micro world. Harmonic oscillator system is a very classical model in quantum mechanics. In this paper, the wave function of a three-dimensional linear harmonic oscillator is derived based on the linear harmonic oscillator model in quantum mechanics. According to the probabilistic interpretation of quantum mechanics, we obtain the probability density function of the harmonic oscillator electron cloud. In this paper, Monte Carlo selection method is used for sampling, and Mathematica software is used to draw electron cloud images with different quantum number, so that people can intuitively see the distribution of electron cloud in three-dimensional space.","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"35 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":"131309056","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}
引用次数: 0
Multiple regression-based glass composition prediction and statistics 基于多元回归的玻璃成分预测与统计
Academic Journal of Mathematical Sciences Pub Date : 1900-01-01 DOI: 10.25236/ajms.2022.030209
Xiaohan Deng, Tangliang Wang
{"title":"Multiple regression-based glass composition prediction and statistics","authors":"Xiaohan Deng, Tangliang Wang","doi":"10.25236/ajms.2022.030209","DOIUrl":"https://doi.org/10.25236/ajms.2022.030209","url":null,"abstract":": The surface weathering of ancient glass can be distinguished from the type of ancient glass by chemical composition as well as color and ornamentation. This paper constructs mathematical models to analyze the relationship between surface weathering and glass type, color and ornamentation based on different chemical compositions and characteristic data of color and ornamentation in ancient glass, explores the statistical law of chemical composition content with and without weathering, and constructs an effective classification model to realize glass type classification. This paper solves the relationship between glass type, decoration and color and their weathering degree; analyzes the statistical law of chemical composition content with and without weathering on the surface of two types of glass; derives the prediction formula and predicts the chemical composition content of two types of glass before weathering.","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":"129878898","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}
引用次数: 0
The Abelian Group in Mapping Perspective 映射透视中的阿贝尔群
Academic Journal of Mathematical Sciences Pub Date : 1900-01-01 DOI: 10.25236/ajms.2023.040205
Yuansheng Gao
{"title":"The Abelian Group in Mapping Perspective","authors":"Yuansheng Gao","doi":"10.25236/ajms.2023.040205","DOIUrl":"https://doi.org/10.25236/ajms.2023.040205","url":null,"abstract":": The Abelian group, also known as the exchange group, is a class of groups which satisfy the exchange law. This paper reviews Abelian groups from the perspective of mappings and gives sufficient and necessary conditions for a group to be an Abelian group under several special mappings","PeriodicalId":372277,"journal":{"name":"Academic Journal of Mathematical Sciences","volume":"192 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":"127137290","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}
引用次数: 0
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