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利用统计表(图)帮助学生建立科学概念——以探究“摆的快慢与什么因素有关”为例
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作者 俞维军 《实验教学与仪器》 2023年第5期91-93,共3页
统计表(图)是具有显著数学学科特征的知识点。应用统计表(图)帮助学生发展科学思维和建立科学概念是数学与科学跨学科合作学习的一种方式。以探究“摆的快慢与什么因素有关”为例,从“记录数据——初步感知概念,分析数据——感悟概念本... 统计表(图)是具有显著数学学科特征的知识点。应用统计表(图)帮助学生发展科学思维和建立科学概念是数学与科学跨学科合作学习的一种方式。以探究“摆的快慢与什么因素有关”为例,从“记录数据——初步感知概念,分析数据——感悟概念本质,数据推理——应用概念解释”3个方面进行阐述。同时,对指导学生规范操作实验获取真实、准确的数据,利用统计表(图)汇总整理数据、分析推理论证,建立科学概念和发展科学素养提出了具体的实施建议。 展开更多
关键词 统计表() 科学概念 科学素养
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Nonlinear Statistical Process Monitoring Based on Control Charts with Memory Effect and Kernel Independent Component Analysis
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作者 张曦 阎威武 +1 位作者 赵旭 邵惠鹤 《Journal of Shanghai Jiaotong university(Science)》 EI 2007年第5期563-571,共9页
A novel nonlinear combination process monitoring method was proposed based on techniques with memo- ry effect (multivariate exponentially weighted moving average (MEWMA)) and kernel independent component analysis ... A novel nonlinear combination process monitoring method was proposed based on techniques with memo- ry effect (multivariate exponentially weighted moving average (MEWMA)) and kernel independent component analysis (KICA). The method was developed for dealing with nonlinear issues and detecting small or moderate drifts in one or more process variables with autocorrelation. MEWMA charts use additional information from the past history of the process for keeping the memory effect of the process behavior trend. KICA is a recently devel- oped statistical technique for revealing hidden, nonlinear statistically independent factors that underlie sets of mea- surements and it is a two-phase algorithm., whitened kernel principal component analysis (KPCA) plus indepen- dent component analysis (ICA). The application to the fluid catalytic cracking unit (FCCU) simulated process in- dicates that the proposed combined method based on MEWMA and KICA can effectively capture the nonlinear rela- tionship and detect small drifts in process variables. Its performance significantly outperforms monitoring method based on ICA, MEWMA-ICA and KICA, especially for lonu-term performance deterioration. 展开更多
关键词 kernel independent component analysis (KICA) multivariate exponentially weighted moving average(MEWMA) NONLINEAR fault detection process monitoring fluid catalytic cracking unit (FCCU) process
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