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2. Key Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China, fund=null, authors=Mu-Fa Chen1,2, authorsList=Mu-Fa Chen), CN=ArticleExt(id=1242140462639816975, articleId=1242140461180203811, tenantId=1146029695717560320, journalId=1146031591421210625, language=CN, title=华罗庚经济优化新理论, columnId=1242118241766675232, journalTitle=科技导报, columnName=专稿, runingTitle=null, highlight=null, articleAbstract=概述了华罗庚先生仙逝前对经济优化理论的重要更新,该结果不幸沉睡了37年,直到2021年底才被唤醒;介绍了其后续进展,有一次修正、一次再更新和5项新发展:稳定性分析的新方法;产品(产业)等级(排序);预测与调整;经济结构的优化;重排序与大矩阵主特征值(及依大、小序的前6个特征值)的高效算法。难得的是,多种变换给出了完全相同的非稳定的时间和产品。早年关于华氏经济崩溃定理的证明基于马氏链的遍历定理,最近的全部结果基于马氏链的转移概率矩阵,也许可视为经济优化研究的新路子。这些成果已被应用于中国1个省级和5个国家级投入产出表,检验了理论的合理性和可靠性。, correspAuthors=null, authorNote=陈木法,教授,中国科学院院士,研究方向为随机数学及其相关领域的交叉,电子信箱:mfchen@bnu.edu.cn, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=Eeld+bEEoGbPWD05FFpnHw==, pdfFileSize=512298, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, authorCompany=1. 江苏师范大学数学研究院,徐州 221116
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New theory on L. K. Hua's economic optimization
Mu-Fa Chen
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出版时间: 2023-05-28 doi: 10.3981/j.issn.1000-7857.2023.10.001
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概述了华罗庚先生仙逝前对经济优化理论的重要更新,该结果不幸沉睡了37年,直到2021年底才被唤醒;介绍了其后续进展,有一次修正、一次再更新和5项新发展:稳定性分析的新方法;产品(产业)等级(排序);预测与调整;经济结构的优化;重排序与大矩阵主特征值(及依大、小序的前6个特征值)的高效算法。难得的是,多种变换给出了完全相同的非稳定的时间和产品。早年关于华氏经济崩溃定理的证明基于马氏链的遍历定理,最近的全部结果基于马氏链的转移概率矩阵,也许可视为经济优化研究的新路子。这些成果已被应用于中国1个省级和5个国家级投入产出表,检验了理论的合理性和可靠性。
经济优化理论  /  稳定性分析  /  产品等级  /  预测与调整  /  经济结构优化  /  算法  /  马氏链
We summarize Loo-Keng Hua's important update on economic optimization theory before his immortal death, which unfortunately fell asleep for 37 years and was not awakened until the end of 2021. Next, we introduce its subsequent progress, including one revision, one re-update, and five new developments: a new method for stability analysis; product (industry) level (ranking); prediction and adjustment; optimization of economic structure; efficient algorithms for reordering and large matrix principal eigenvalues (as well as the top 6 eigenvalues in major and minor order). It is rare that multiple transformations provide exactly the same unstable time and product. In the early years, the proof of the Hua's economic collapse theorem was based on the ergodic theorem of the Markov chain, and the recent results are all based on the transition probability matrix of the Markov chain, which may be seen as a new approach to economic optimization research. These achievements have been applied to one provincial-level and five national level input-output tables in China, testing the rationality and reliability of the theory.
economic optimization  /  stability analysis  /  productrank  /  prediction and adjustment  /  economic structural optimization  /  algorithm  /  Markov chain
陈木法. 华罗庚经济优化新理论. 科技导报, 2023 , 41 (10) : 5 -8 . DOI: 10.3981/j.issn.1000-7857.2023.10.001
Mu-Fa Chen. New theory on L. K. Hua's economic optimization[J]. Science & Technology Review, 2023 , 41 (10) : 5 -8 . DOI: 10.3981/j.issn.1000-7857.2023.10.001
2023年第41卷第10期
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doi: 10.3981/j.issn.1000-7857.2023.10.001
  • 接收时间:2023-02-14
  • 首发时间:2023-06-26
  • 出版时间:2023-05-28
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  • 收稿日期:2023-02-14
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2种不同金属材料的力学参数

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种数
Number of
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占总种数比例
Percentage of
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Genus
种数
Number of
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占总种数比例
Percentage of total
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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