颜色读数与物质浓度关系的数学建模
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引用本文:王 雪 萍.颜色读数与物质浓度关系的数学建模[J].经济数学,2018,(2):105-110
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作者单位
王 雪 萍 (乌鲁木齐职业大学 基础教育部,新疆 乌鲁木齐 830001) 
中文摘要:比色法作为一种检测物质浓度的常用方法,是通过待测物质溶液颜色读数来推测所含物质浓度,根据所提供的物质浓度与不同色卡颜色读数的试验数据,对物质浓度和颜色读数进行相关性分析,拟合颜色读数与物质浓度的指数模型和建立灰色预测模型,对这两种模型的拟合值与原始值的误差进行比较分析,给出了颜色读数与物质浓度关系的优化模型.
中文关键词:物质浓度  指数模型  灰色预测  绝对误差  相对误差
 
Mathematical Modeling of Relationship Between Color Reading and Material Concentration
Abstract:As a common method of testing material concentration, Colorimetry is speculating the material concentration by the color reading of material in solution, which based on the experimental data between provided material concentration and different colour atlas. To conduct correlation analysis about color reading and material concentration, matching the exponential model of color reading and material concentration, then establish gray prediction model. Compare the fitted values of these two models with the error of the original value, and get the optimization model of the relationship between color reading and material concentration.
keywords:material concentration  exponential model  gray prediction  absolute error  relative error
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