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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 图计数
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特殊子图的计数 被引量:3
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作者 徐利民 《淮南职业技术学院学报》 2011年第3期74-77,共4页
计数问题是图论研究的一个课题,图的一些特殊子图的计数确定了图的着色性;在这里使用组合数学的方法,估计了二部图K(u,v)-A和三部图K(n+a1,n+a2,n+a3)-A的三角形子图和没有弦的四边形子图的计数,在三部图中比较了这些特殊子图的计数。
关键词 计数 三角形子 四边形子
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利用Plya定理计算图的计数
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作者 洪波 陈俊斌 +1 位作者 逯云娇 白冰 《西安工业大学学报》 CAS 2006年第4期352-356,共5页
以P o′lya定理为理论基础,在不做图的情况下,通过计算38个顶点以下的不同构简单图的个数,并通过构造图的计数多项式,将13个顶点以下的各阶图按边数进行分类计数,从中发现了一个结论,并给出了证明.
关键词 简单 Polya定理 计数多项式
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小批量生产的计数控制图
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作者 张维铭 楼龙翔 《浙江丝绸工学院学报》 1998年第4期307-312,共6页
本文研究Q控制图,将它同经典的p图、λ图和平方根变换图作比较,并说明Q图的实际应用。
关键词 Q统计量 计数控制 小批量生产 生产管理
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基于计数型控制图的设备预防维修控制 被引量:4
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作者 赵永强 《西安邮电大学学报》 2014年第6期92-95,共4页
以设备零备件维修为研究对象,假设零备件的失效率服从指数分布,对零备件失效率进行参数估计。利用经济性模型确定控制图界限的参数,在参数已知的条件下,构建出零备件的计数型控制图模型,控制图可对设备零备件的失效频次进行有效预防控... 以设备零备件维修为研究对象,假设零备件的失效率服从指数分布,对零备件失效率进行参数估计。利用经济性模型确定控制图界限的参数,在参数已知的条件下,构建出零备件的计数型控制图模型,控制图可对设备零备件的失效频次进行有效预防控制。通过实例验证发现,可对设备零件的失效频次进行预防控制,识别零件失效是随机还是系统因素,使设备维修更有效。 展开更多
关键词 计数型控制 指数分布 定期预防维修 过程控制
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半图的计数
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作者 王庆亮 孔祥智 袁志玲 《计算机系统应用》 2016年第10期263-267,共5页
顶点标记半图是用n个不同符号标记的半图G.通过分析得出只包含不相邻边的顶点标记半图的计数和包含两个相邻S边的顶点标记半图的数目的计算的多种结果.同时也计算了包含1到8个顶点的顶点标记半图的数目.
关键词 顶点标记半 顶点标记半计数
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平面上5×n矩形格图中圈的计数
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作者 查起兆 徐宝仁 何安舟 《食品与生物技术学报》 CAS 1988年第3期91-100,共10页
本文讨论了平面上5×n矩形格图中圈的计数问题,并得到了用矩阵表示结果的公式。
关键词 平面格圈/计数
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基于可变样本容量的计数值控制图的改进
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作者 董呈欢 陈琳 《统计与决策》 CSSCI 北大核心 2009年第16期19-20,共2页
文章在对计数值控制图的控制限的设计上提出了一种新的方法。计数值控制图——如P图和U图在面对样本容量不同的样本时往往会出现不同样本的控制限不一致的情况,这就需要对控制限的设计进行一定的变型。以往所提出的方法有取均值和标准化... 文章在对计数值控制图的控制限的设计上提出了一种新的方法。计数值控制图——如P图和U图在面对样本容量不同的样本时往往会出现不同样本的控制限不一致的情况,这就需要对控制限的设计进行一定的变型。以往所提出的方法有取均值和标准化等,文章提出的方法是对给定的参数,如不合格品率p值进行变型,加上一个权重值,建立了一个新的控制图,即加权计数值控制图,使之在计算控制限时可以规避不同样本容量所带来的问题。 展开更多
关键词 质量控制 控制限 加权计数值控制 不同样本容量 n的取值.
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基于子图的随机图点覆盖2度点核化研究
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作者 黄海滨 杨路明 +2 位作者 王建新 陈建二 李绍华 《计算机研究与发展》 EI CSCD 北大核心 2009年第1期31-40,共10页
点覆盖问题虽然可以在参数计算理论的架构内求精确解,但是目前在理论及应用上有一定的局限性.根据不同度的顶点之间及顶点与边的关系,提出随机图参数化点覆盖问题的d-核化可决策性及2度点三角形子图的计数方法;通过研究子图对顶点的共... 点覆盖问题虽然可以在参数计算理论的架构内求精确解,但是目前在理论及应用上有一定的局限性.根据不同度的顶点之间及顶点与边的关系,提出随机图参数化点覆盖问题的d-核化可决策性及2度点三角形子图的计数方法;通过研究子图对顶点的共享关系,分析2度顶点核化过程中核及度分布演变的动态过程,得出随机图2度点核化强度与2度点概率关系及2度点核化可决策性的两个推论:2度点核化算法对2度点分布概率约为0.75的随机图的核化强度最高;对顶点度概率分布为φ(x)的随机图的参数化点覆盖问题(G,k),当k小于某一与φ(x)有关的值时,它是2-核化可决策的.仿真结果证实,该理论能够把握2度点核化的内在机制,提供随机图上这一NP完全问题的求解方法,也为参数计算在已知度分布的一类不确定问题中的应用提供了可能. 展开更多
关键词 图计数 核化 点覆盖 参数计算 随机
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控制图导论
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作者 毕健 《世界标准化与质量管理》 1991年第6期16-21,共6页
本国际标准讨论了控制图方法的关键内容和基本原理,介绍了各类控制图:休哈特控制图和重点用于过程验收或线上预报的控制图。
关键词 计量控制 国际标准 统计质量控制 计数控制 验收控制 自适应控制
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定量蛋白质组学无标记定量方法的研究进展 被引量:13
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作者 武鹏 贺福初 姜颖 《生物化学与生物物理进展》 SCIE CAS CSCD 北大核心 2013年第3期281-292,共12页
依靠质谱技术的蛋白质组学快速发展,寻求速度快、重复性好以及准确度高的定量方法是该领域的一项艰巨任务,定量蛋白质组学分支领域应运而生.其中,无标记定量方法以其样品制备简单、耗材费用低廉以及结果数据分析便捷等优点渐露锋芒.无... 依靠质谱技术的蛋白质组学快速发展,寻求速度快、重复性好以及准确度高的定量方法是该领域的一项艰巨任务,定量蛋白质组学分支领域应运而生.其中,无标记定量方法以其样品制备简单、耗材费用低廉以及结果数据分析便捷等优点渐露锋芒.无标记定量方法通常分为信号强度法和谱图计数法两大类.本文在这两种无标记定量方法计算原理的基础上,针对各种常用的无标记定量方法及最新进展做一个较为全面的介绍,并将详细讨论两类方法的异同点,以及目前蛋白质组学中无标记定量方法所面临的主要挑战,希望能为这一领域的研究人员在选择无标记定量方法时提供一个合理的参考. 展开更多
关键词 定量蛋白质组学 生物信息学 无标记定量 信号强度 图计数 共享肽段
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Mathematical Definitions of Operators for Cartographic Generalization 被引量:2
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作者 王晓妮 张洁 《Geo-Spatial Information Science》 2003年第1期70-73,共4页
This paper puts forword 11 cartographic generalization operator models and introduces their mathematical definitions,and thus a precise mathematical form and quantitative description has been given to these formerly l... This paper puts forword 11 cartographic generalization operator models and introduces their mathematical definitions,and thus a precise mathematical form and quantitative description has been given to these formerly limited qualitative concepts.The meaning of mathematical definition of operators for cartographic generalization and the application prospect in computer_aided cartography (CAC) is stated.ract The Jurassic strata in Jingyan of Sichuan containing the Mamenchinsaurus fauna are dealt with and divided in this paper. The Mamenchisaurus fossils contained there are compared in morphological features and stratigraphically with other types of the genus on by one. The comprehensive analysis show that the Mamenchisaurus fauna of Jingyan appeared in the early Late Jurassic and is primitive in morphology. The results of the morphological identification and stratigraphical study agree with each other. Their evolutionary processes in different apoches of the Late Jurassic also made clear. Key words Jingyan, Sichuan, Mamenchisaurus Fauna, stratigraphy, evolution 展开更多
关键词 operators for cartographic generalization mathematical definition SELECTION SIMPLIFICATION STRESS
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RESEARCH OF THE PARAMETRIC ASSEMBLY METHOD
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作者 孙知信 陈文亮 +1 位作者 丁秋林 张娟 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1997年第2期165-169,共5页
The parametric part assembly generation method is presented. Based on the parametric part generated by means of constructive-element, through interactively inputting the relationships of the location and the assembly,... The parametric part assembly generation method is presented. Based on the parametric part generated by means of constructive-element, through interactively inputting the relationships of the location and the assembly, and by compiling operations like movement and rotation, the assembly drawing is created so as to implement the occurrence of the parameterizations of the assembly and the part drawing. The data structure of the assembly part and the key technologies of hidden line removal in the implementation of assembly process, etc. , are described in detail. 展开更多
关键词 ASSEMBLING PARAMETERS product modelling design methodology parametric drawing hidden line removal
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被历史遗忘的数学家——瑞德菲尔德
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作者 王瑞霞 邓明立 《科学》 北大核心 2011年第4期59-62,共4页
瑞德菲尔德(John Howard Redfield.1879—1944年)是一位命运多舛、时运不济的语言学家、工程师、数学家,在组合学中是一位有些神秘的人物。他一生虽仅发表了一篇文章,却预示了十年后著名的波利亚计数定理。他的工作当时并没有受到... 瑞德菲尔德(John Howard Redfield.1879—1944年)是一位命运多舛、时运不济的语言学家、工程师、数学家,在组合学中是一位有些神秘的人物。他一生虽仅发表了一篇文章,却预示了十年后著名的波利亚计数定理。他的工作当时并没有受到重视,但历史的尘埃终究掩盖不住智慧的光芒,经过近半个世纪的涤荡,数学界终于意识到他的重要成就。 展开更多
关键词 瑞德菲尔德 计数 波利亚计数定理
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Fractal analysis of thermal conduction of loose coal 被引量:2
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作者 WANG Yijiang ZHOU Guoqing +1 位作者 WEI Yazhi ZHOU Yang 《Mining Science and Technology》 EI CAS 2010年第6期831-834,838,共5页
For deep mining engineering, heat transfer of coal mass is a vital factor in the thermal environment of coal mines. In order to study the thermal conduction mechanism, we obtained gray images of coal mass microstructu... For deep mining engineering, heat transfer of coal mass is a vital factor in the thermal environment of coal mines. In order to study the thermal conduction mechanism, we obtained gray images of coal mass microstructure by scanning samples with a digital microscope. With the use of Matlab, these gray images were transformed into binary images, which were then transformed into a corresponding matrix consisting only of the values 0 and 1. According to the calculation method of box-counting dimension, we calculated the fractal dimension of the loose coal to be approximately 1.86. The thermal conductivity expressions of loose coal were derived based on the simulation method of thermal resistance. We calculated the thermal conductivity of loose coal by using a fractal model and compared the calculated values with our experimental data. The results show that the test data show an encourag-ing agreement with the calculated values. Hence fractal theory is a feasible method for studying thermal conductivity of loose coal. 展开更多
关键词 loose coal thermal conductivity fractal theory box-counting dimension
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Bayesian and Geostatistical Approaches to Combining Categorical Data Derived from Visual and Digital Processing of Remotely Sensed Images 被引量:1
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作者 ZHANGJingxiong LIDeren 《Geo-Spatial Information Science》 2005年第2期90-97,137,共9页
This paper seeks a synthesis of Bayesian and geostatistical approaches to combining categorical data in the context of remote sensing classification. By experiment with aerial photographs and Landsat TM data, accuracy... This paper seeks a synthesis of Bayesian and geostatistical approaches to combining categorical data in the context of remote sensing classification. By experiment with aerial photographs and Landsat TM data, accuracy of spectral, spatial, and combined classification results was evaluated. It was confirmed that the incorporation of spatial information in spectral classification increases accuracy significantly. Secondly, through test with a 5-class and a 3-class classification schemes, it was revealed that setting a proper semantic framework for classification is fundamental to any endeavors of categorical mapping and the most important factor affecting accuracy. Lastly, this paper promotes non-parametric methods for both definition of class membership profiling based on band-specific histograms of image intensities and derivation of spatial probability via indicator kriging, a non-parametric geostatistical technique. 展开更多
关键词 BAYESIAN remote sensing image visual and digital processing
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A LINEAR APPROACH TO METRIC CIRCUMFERENCE COMPUTATIO FOR DIGITIZED CONVEX SHAPES 被引量:3
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作者 Chen Ken Zhao Pan Yang Rener 《Journal of Electronics(China)》 2008年第4期572-575,共4页
Metric measurement of digitized shapes is commonly applied in optical measuring systems.In this letter,three shape-related factors defined by the authors are used in the construction of amultiple linear regression mod... Metric measurement of digitized shapes is commonly applied in optical measuring systems.In this letter,three shape-related factors defined by the authors are used in the construction of amultiple linear regression model which is utilized to compute the circumference of the convex shapes inmillimeter unit.The model is first built upon the relationship hypothesis and then its adequacy ismathematically validated.The results of applying the developed model to the given number of convexshapes in a finite circumferential length range suggest that,in terms of percent error,the model pre-cision is to satisfaction by being within±4%.The test also shows the model’s robustness against theshape’s orientation anisotropy. 展开更多
关键词 Metric measurement Circumference computation Digital image analysis Modeling
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The optimal slice thickness of CT in revealing lobulation of malignant solitary pulmonary nodules 被引量:2
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作者 Shenjiang Li Changcheng Li Xin Wang Debin Liu Wenjie Liang Feng Zhu Yan Zhu Xuefeng Cui Wenjie Bi 《The Chinese-German Journal of Clinical Oncology》 CAS 2011年第10期559-562,共4页
Objective: The aim of this study was to determine an optimal slice thickness that was efficient in revealing Iobulation of malignant solitary pulmonary nodules (SPNs) on multi-slice spiral computed tomography (MSC... Objective: The aim of this study was to determine an optimal slice thickness that was efficient in revealing Iobulation of malignant solitary pulmonary nodules (SPNs) on multi-slice spiral computed tomography (MSCT) images preliminarily. Methods: Fifty patients with malignant SPNs (diameter -〈 3 cm) underwent multidetector-row computed tomography of the chest in a single-breath-hold technique. The raw data were acquired with a collimation of 0.625 mm. Three sets of contiguous images were reconstructed with 1-, 2-, and 5-ram slice thickness, respectively. The Iobulation sign of SPNs on the computed tomography (CT) images presented in 1-, 2-, and 5-ram slice thickness was compared. Using the 1-mm sections as the gold standard, an optimal slice thickness in revealing Iobulation sign of SPNs was determined. Results: The 1-mm-thick images CT revealed 98 Iobulations (25 with chord distance 〈 1 ram; 30 with chord distance 1-2 ram; 43 with chord distance 〉 2 mm) of 45 malignant SPNs. 18 Iobulations with chord distance 〈 1 mm presented in 2-mm-thick sections were as same as those in I-ram-thick sections. Statistically significant difference in Iobulations number was found between that revealed in 2-ram-thick images and that in I-ram-thick images (P = 0.023 〈 0.05). 16 Iobulations with chord distance 〈 1 mm presented in 5-mm-thick sections were as same as that in I-ram-thick sections. There was statistically significant difference in Iobulations number between that revealed in 5-mm-thick images and that in I-ram-thick images (P = 0.004 〈 0.05). The 24 Iobulations with chord distance 1-2 mm presented in 2-ram-thick sections were as same as that in 1-mm-thick sections. No statistically significant difference in Iobulations number were found between that revealed in 2-mm-thick images and that in 1-mm-thick images (P = 0.261 〉 0.05). 13 Iobulations with chord distance 1-2 mm presented in 5-ram-thick sections were as same as that in 1- mm-thick sections. There was statistically significant difference in Iobulations number between that revealed in 5-ram-thick images and that in I-ram-thick images (P = 0.003 〈 0.05). 40 Iobulations with chord distance 〉 2 mm presented in 2-ram-thick sections were as same as that in I-ram-thick sections. No statistically significant difference in Iobulations number was found between that revealed in 2-ram-thick images and that in I-ram-thick images (P = 0.631 〉 0.05). 36 Iobulations with chord distance 〉 2 mm presented in 5-mm-thick sections were as same as that in I-ram-thick sections. There was no statistically significant difference in Iobulations number between that revealed in 5-ram-thick images and that in I-ram-thick images (P = 0.264 〉 0.05). Conclusion: It is suggested that the use of 1-mm slice thickness is suitable in revealing Iobulations with chord distance 〈 1 ram. A 2-mm slice thickness is suggested to be used in revealing Iobulafions with chord distance 1-2 mm and 5-mm slice thickness to be used in revealing Iobulations with chord distance 〉 2 mm. 展开更多
关键词 TOMOGRAPHY X-ray computed coin lesion PULMONARY Iobulation
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Adaptive polarization i mage fusion based on regional energy dynamic weighted average 被引量:2
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作者 ZHAO Yong-qiang PAN Quan ZHANG Hong-cai 《Optoelectronics Letters》 EI 2005年第3期224-227,共4页
According to the principle of polarization imaging and the relation between Stokes parameters and the degree of linear polarization, there are much redundant and complementary information in polarized images. Since ma... According to the principle of polarization imaging and the relation between Stokes parameters and the degree of linear polarization, there are much redundant and complementary information in polarized images. Since man-made objects and natural objects can be easily distinguished in images of degree of linear polarization and images of Stokes parameters contain rich detailed information of the scene, the clutters in the images can be removed efficiently while the detailed information can be maintained by combining these images. An algorithm of adaptive polarization image fusion based on regional energy dynamic weighted average is proposed in this paper to combine these images. Through an experiment and simulations,most clutters are removed by this algorithm. The fusion method is used for different light conditions in simulation, and the influence of lighting conditions on the fusion results is analyzed. 展开更多
关键词 偏振现象 象处理 参数设计 模拟算法
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Qualitative Algebra and Graph Theory Methods for Dynamic Trend Analysis of Continuous System 被引量:3
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作者 张卫华 吴重光 王春利 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2011年第2期308-315,共8页
Qualitative algebraic equations are the basis of qualitative simulation,which are used to express the dynamic behavior of steady-state continuous processes.When the values and operation of qualitative variables are re... Qualitative algebraic equations are the basis of qualitative simulation,which are used to express the dynamic behavior of steady-state continuous processes.When the values and operation of qualitative variables are redefined,qualitative algebraic equations can be transformed into signed direct graphs,which are frequently used to predict the trend of dynamic changes.However,it is difficult to use traditional qualitative algebra methods based on artificial trial and error to solve a complex problem for dynamic trends.An important aspect of modern qualitative algebra is to model and characterize complex systems with the corresponding computer-aided automatic reasoning.In this study,a qualitative affection equation based on multiple conditions is proposed,which enables the signed di-rect graphs to describe complex systems better and improves the fault diagnosis resolution.The application to an industrial case shows that the method performs well. 展开更多
关键词 qualitative algebraic equations signed directed graph affection equation multiple conditions dynamic trend analysis
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