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两个参数化匹配计数问题的难度分析
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作者 韦立 许道云 王晓峰 《广西师范大学学报(自然科学版)》 CAS 北大核心 2011年第1期38-42,共5页
匹配计数问题是一个著名的难问题,考虑它的两个参数化问题p-deg-#MATCHING与p-#MATCHING,证明了p-deg-#MATCHING是固定参数易解的,p-#MATCHING有固定参数易解随机近似方案。
关键词 参数化 计数匹配问题 固定参数易解 随机近似方案
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图论中的计数理论及其应用 被引量:1
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作者 钱建国 金贤安 杨维玲 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 2021年第3期453-460,共8页
随着信息科学的迅速发展,研究离散对象的图论及组合数学正扮演着越来越重要的角色,其中基于图的各种计数理论在统计物理、分析化学及信息生物学等领域得到了很好的应用.本文综述了以张福基教授为代表的厦门大学组合图论研究团队20多年... 随着信息科学的迅速发展,研究离散对象的图论及组合数学正扮演着越来越重要的角色,其中基于图的各种计数理论在统计物理、分析化学及信息生物学等领域得到了很好的应用.本文综述了以张福基教授为代表的厦门大学组合图论研究团队20多年来在图论的计数理论及其应用方面的研究,主要包括匹配计数、组合计数、组合纽结、随机图、网络优化以及相关应用方面取得的成果,并提出未来研究的展望. 展开更多
关键词 匹配计数 组合计数 组合纽结理论 计数
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Essence of progress in geriatric cardiology 被引量:1
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作者 William H Wehrmacher 《Journal of Geriatric Cardiology》 SCIE CAS CSCD 2012年第1期3-4,共2页
1 Introduction Prior to 1970,the slow,steady and substantial development of medical knowledge over centuries for improved well being and survival from birth was not matched by the elderly population.Since 1970,however... 1 Introduction Prior to 1970,the slow,steady and substantial development of medical knowledge over centuries for improved well being and survival from birth was not matched by the elderly population.Since 1970,however,the elderly have also shared in these developments,exhibiting substantial improvement in survival among people over 60 years of age.It is also been since 1970 that geriatric cardiology has experienced dynamic progress.This is indicated by the US vital statistics,Table 1. 展开更多
关键词 Acute myocardial infarction COMORBIDITY MORTALITY
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Querying on Wang Xiaolu's Estimation on Grey Income in China1
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作者 罗楚亮 岳希明 李实 《China Economist》 2012年第1期116-124,共9页
This paper believes that serious flaws exist in Wang Xiaolu's calculation of grey income in China for the following reasons." (1) It is not sound methodology to match households with different income levels by usi... This paper believes that serious flaws exist in Wang Xiaolu's calculation of grey income in China for the following reasons." (1) It is not sound methodology to match households with different income levels by using Engel coefficients; (2) The way Wang collected data cannot make up for statistical distortion in the National Bureau of Statistics' data; (3) Wang did not provide reasonable explanations for both the income inequality as derived from the estimated income groups and the change in income inequality between the two years he compared," (4)Wang's calculation of grey income lacks a basic logical foundation. 展开更多
关键词 grey income Engel coefficient income inequality
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Estimation of Durability of Profit of Small and Medium Enterprises by Statistical Matching
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作者 Yukiko KURIHARA 《Journal of Mathematics and System Science》 2015年第5期173-182,共10页
This study computes the durability of Return on Assets (ROA) in small and medium enterprises from different sample datasets. Utilizing information from the Financial Statements Statistics of Corporations by Industry... This study computes the durability of Return on Assets (ROA) in small and medium enterprises from different sample datasets. Utilizing information from the Financial Statements Statistics of Corporations by Industry, it verifies the precision of correlation coefficients using the Non-iterative Bayesian-based Imputation (NIBAS) and multiple imputation method for all combinations of common variables with auxiliary files. The following are the three important findings of this paper. First, statistical matching estimates of higher precision can be obtained using key variable sets with higher canonical correlation coefficients. Second, even if the key variable sets have high canonical correlation coefficients, key variables that are correlated extremely strongly with target variables and have high kurtosis should not be used. Finally, using auxiliary flies can improve the precision of statistical matching estimates. Accordingly, the durability of ROA in small and medium enterprises is computed. The author finds that the series of ROA correlation fluctuates for smaller enterprises compared to larger ones, and thus, the vulnerability of ROA in small and medium enterprises can be clarified via statistical matching. 展开更多
关键词 Bayesian regression imputation Multiple imputation Canonical correlation coefficient Sampling experiment.
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A novel method for integrating chromatographic fingerprint analytical units of Chinese materia medica:the matching frequency statistical moment method
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作者 LI Haiying PAN Xue +4 位作者 WANG Mincun LI Wenjiao HE Peng HUANG Sheng HE Fuyuan 《Digital Chinese Medicine》 CAS 2024年第3期294-308,共15页
Objective To facilitate the quality evaluation suitable for the unique characteristics of Chinese materia medica(CMM)by developing and implementing a novel approach known as the matching frequency statistical moment(M... Objective To facilitate the quality evaluation suitable for the unique characteristics of Chinese materia medica(CMM)by developing and implementing a novel approach known as the matching frequency statistical moment(MFSM)method.Methods This study established the MFSM method.To demonstrate its effectiveness,we applied this novel approach to analyze Danxi Granules(丹膝颗粒,DXG)and its constituent herbal materials.To begin with,the ultra-performance liquid chromatography(UPLC)was applied to obtain the chromatographic fingerprints of DXG and its constituent herbal materi-als.Next,the MFSM was leveraged to compress and integrate them into a new fingerprint with fewer analytical units.Then,we characterized the properties and variability of both the original and integrated fingerprints by calculating total quantum statistical moment(TQSM)parameters,information entropy and information amount,along with their relative standard deviation(RSD).Finally,we compared the TQSM parameters,information entropy and infor-mation amount,and their RSD between the traditional and novel fingerprints to validate the new analytical method.Results The chromatographic peaks of DXG and its 12 raw herbal materials were divided and integrated into peak families by the MFSM method.Before integration,the ranges of the peak number,three TQSM parameters,information entropy and information amount for each peak or peak family of UPLC fingerprints of DXG and its 12 raw herbal materials were 95.07−209.73,9390−183064μv·s,5.928−21.33 min,22.62−106.69 min^(2),4.230−6.539,and 50530−974186μv·s,respectively.After integration,the ranges of these parameters were 10.00−88.00,9390−183064μv·s,5.951−22.02 min,22.27−104.73 min^(2),2.223−5.277,and 38159−807200μv·s,respectively.Correspondingly,the RSD of all the aforementioned pa-rameters before integration were 2.12%−9.15%,6.04%−49.78%,1.15%−23.10%,3.97%−25.79%,1.49%−19.86%,and 6.64%−51.20%,respectively.However,after integration,they changed to 0.00%,6.04%−49.87%,1.73%−23.02%,3.84%−26.85%,1.17%−16.54%,and 6.40%−48.59%,respectively.The results demonstrated that in the newly integrated fingerprint,the analytical units of constituent herbal materials,information entropy and information amount were significantly reduced(P<0.05),while the TQSM parameters remained unchanged(P>0.05).Additionally,the RSD of the TQSM parameters,information entropy,and information amount didn’t show significant difference before and after integration(P>0.05),but the RSD of the number and area of the integrated analytical units significantly decreased(P<0.05).Conclusion The MFSM method could reduce the analytical units of constituent herbal mate-rials while maintain the properties and variability from their original fingerprint.Thus,it could serve as a feasible and reliable tool to reduce difficulties in analyzing multi-compo-nents within CMMs and facilitating the evaluation of their quality. 展开更多
关键词 Chromatographic fingerprints Analytical units Matching frequency statistical moment method Chinese materia medica Danxi Granule(丹膝颗粒 DXG) Quality evaluation
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