According to the four problems in the question C"Composition Analysis and Identification of Glass Relics"in 2022 China Undergraduate Mathematical Contest in Modeling,the corresponding mathematical models are built and analyzed respectively.Based on the data of chemical composition content,decoration and color of the glass relics,and based on the one-way ANOVA,the study establishes ARIMA model to explore the relationship between the surface weathering of glass relics and the type,decoration and color of glass,and to predict the chemical content of glass relics before weathering.The classification characteristics of the glass relics are extracted by principal component analysis,and the subcategory division is given by cluster algorithm.The unknown categories of the glass relics are identified by Euclidean distance cluster algorithm and the sensitivity of the classification results of the glass relics is analyzed.The K-Means ++cluster algorithm is used to analyze the relationship between different categories of the glass relics and to judge the difference of relationship between different categories of the glass relics.Finally,the conclusion is given.
维普
万方数据