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Newton-Cotes公式的渐近展开及其应用
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作者 檀结庆 《大学数学》 2024年第5期35-42,共8页
给出了(n+1)-点Newton-Cotes公式的渐近展开,作为特例,得到了梯形求积公式和Simpson求积公式及其复化形式的渐近展开,分析了与Euler-Maclaurin展开的区别与联系,指出从复化Simpson求积公式出发,可得到数值积分的高阶Romberg算法.
关键词 newton-cotes公式 梯形求积公式 渐近展开 Euler-Maclaurin展开
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一种自适应的四阶Newton-Cotes求积方法 被引量:1
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作者 曾玉华 蒋光彪 《数学理论与应用》 2005年第4期68-69,共2页
本文给出了一种基于四阶N ew ton-Cotes公式的自适应求积算法,该算法能根据给定的容许误差,由计算机自动选取积分步长,克服了由于被积函数的性态不好而导致积分较复杂的缺陷.
关键词 自适应 newton-cotes 求积算法 容许误差 误差估计
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多重Newton-Cotes积分及其系数 被引量:1
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作者 王勇 熊华 《西华师范大学学报(自然科学版)》 2010年第3期271-274,共4页
定义并给出了生成多元Lagrange插值多项式算法,给出了二元双一次、双二次、双三次Newton-Cotes系数以及二重数值积分公式,文中对所给算例进行了实算,计算结果和理论分析完全一致.
关键词 多重newton-cotes积分 多元newton-cotes系数 稳定性 多元Lagrange插值多项式
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复化Newton-Cotes四点数值求积公式的外推算法
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作者 夏爱生 王瑞 +1 位作者 张会鹏 陶祥贺 《军事交通学院学报》 2012年第5期-,共4页
通过Richardson外推的方法,对复化Newton-Cotes四点数值求积公式外推,得到高精度的数值积分公式——复化Newton-Cotes四点求积序列{NCk(h)}.
关键词 Richardson外推算法 newton-cotes求积公式 复化求积公式
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MCMC粒子滤波和复化Newton-cotes算法测算区域面积的方法
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作者 王志超 曹起武 张全 《仪表技术与传感器》 CSCD 北大核心 2015年第6期121-126,共6页
针对不规则区域面积测算中定位精度和面积计算精度两方面不足,提出一种定位精度高、面积误差小的面积测算新方法。其采用一种组合定位方法精确定位,即将差分GPS测量系统(DGPS)与马尔可夫链蒙特卡罗(Markov chain Monte Carol,MCMC)粒子... 针对不规则区域面积测算中定位精度和面积计算精度两方面不足,提出一种定位精度高、面积误差小的面积测算新方法。其采用一种组合定位方法精确定位,即将差分GPS测量系统(DGPS)与马尔可夫链蒙特卡罗(Markov chain Monte Carol,MCMC)粒子滤波相结合,再配合复化Newton-cotes算法,拟合边界曲线并准确求得区域面积。将MCMC粒子滤波应用于DGPS定位数据处理,其既可处理非高斯分布噪声,又解决粒子滤波(PF)的粒子退化问题,提高定位精度。将复化Newton-cotes算法应用于面积计算,其既避免高次插值的舍入误差,又将面积区间进一步细分,提高面积计算精度。实验结果表明,该新方法定位精度更高,面积误差更小。 展开更多
关键词 不规则区域 面积测算方法 差分GPS测量系统 马尔可夫链蒙特卡罗 粒子滤波 复化newton-cotes算法
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Newton-Cotes梯形公式数值积分及其MATLAB范例
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作者 杨亚辉 吴琼扬 何惠进 《城市地理》 2016年第1X期217-217,共1页
Newton-Cotes梯形公式数值积分及其MATLAB范例。
关键词 数值积分 newton-cotes公式 梯形公式 MATLAB 范例
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基于ER Rule的多分类器汽车评论情感分类研究
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作者 周谧 周雅婧 +1 位作者 贺洋 方必和 《运筹与管理》 CSSCI CSCD 北大核心 2024年第5期161-168,共8页
该文针对汽车评论语料的情感二分类问题,提出一种基于证据推理规则的多分类器融合的情感分类方法。在情感特征构建方面,通过实验对比不同特征模型对分类结果的影响,并改进传统的TFIDF权重计算方法。同时,在此基础上使用ER Rule融合不同... 该文针对汽车评论语料的情感二分类问题,提出一种基于证据推理规则的多分类器融合的情感分类方法。在情感特征构建方面,通过实验对比不同特征模型对分类结果的影响,并改进传统的TFIDF权重计算方法。同时,在此基础上使用ER Rule融合不同分类器进行文本情感极性分析,并考虑各分类器的权重和可靠度。最后,爬取汽车网站上的评论数据对上述方法进行测试,并用公开的中文酒店评论语料数据进行了验证,结果表明该方法能够有效集成不同分类器的优点,与传统机器学习分类算法相比,其结果在Recall,F1值和Accuracy三个指标上得到了提高,与目前流行的深度学习算法和集成学习算法相比,其结果总体占优。 展开更多
关键词 证据推理规则 多分类器融合 TFIDF权重 深度学习算法 集成学习算法
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基于复合Newton-Cotes改进的一种数值积分算法
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作者 刘浩 李梦爽 《科技传播》 2011年第24期100-101,共2页
复合Newton-Cotes算法是经典使用的数值积分方法之一。随着科学计算的盛行和对其精度要求越来越严格,复合Newton-Cotes算法由于其精度高计算量小逐渐成为非常常用的方法。尤其是在偏微分方程的有限元方法中需要大量的数值积分,复合Newto... 复合Newton-Cotes算法是经典使用的数值积分方法之一。随着科学计算的盛行和对其精度要求越来越严格,复合Newton-Cotes算法由于其精度高计算量小逐渐成为非常常用的方法。尤其是在偏微分方程的有限元方法中需要大量的数值积分,复合Newton-Cotes算法是非常好的选择。我们这篇文章主要是就复合Newton-Cotes在实际运算中的一些不良性质进行了改进,提高了复合Newton-Cotes的计算精度。其思想是利用多项式积分有性质提高复合Newton-Cotes系数计算的精度从而提高算法精度。 展开更多
关键词 复合newton-cotes 秦九韶算法 数值积分
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复化Newton-Cotes积分公式及其误差估计 被引量:1
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作者 包玉兰 《内蒙古民族大学学报(自然科学版)》 1997年第2期135-137,共3页
本文讨论了N-C积分公式的复化情形,并给出了误差估计。
关键词 newton-cotes积分公式 误差估计
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Newton-Cotes型加权Monte-carlo求积公式
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作者 碧月 《杭州师范学院学报》 1993年第6期25-34,共10页
本文给出一族加权的Monte-Carlo求积公式Mewton-otes型加权Monte-Carlo求积公式,使得随被积函数f的可微性加强,选用适当Newton-Cotes型加权Monte-carlo求积公式,误差阶也随之提高.
关键词 次序样本 MONTE-CARLO方法 newton-cotes 求积公式
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偶数阶Newton-Cotes公式误差新估计
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作者 黄敬频 毛利影 王敏 《大学数学》 2019年第3期94-97,共4页
牛顿-柯特斯(Newton-Cotes)求积公式在数值积分方面具有广泛的应用性.在插值型求积公式的基础上,利用泰勒展式对偶数阶Newton-Cotes公式的截断误差进行改进,获得不带积分项的一种新误差估计式.同时也得到相应的复化求积公式的误差估计.
关键词 ]newton-cotes公式 误差 新估计 泰勒展式
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THAPE: A Tunable Hybrid Associative Predictive Engine Approach for Enhancing Rule Interpretability in Association Rule Learning for the Retail Sector
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作者 Monerah Alawadh Ahmed Barnawi 《Computers, Materials & Continua》 SCIE EI 2024年第6期4995-5015,共21页
Association rule learning(ARL)is a widely used technique for discovering relationships within datasets.However,it often generates excessive irrelevant or ambiguous rules.Therefore,post-processing is crucial not only f... Association rule learning(ARL)is a widely used technique for discovering relationships within datasets.However,it often generates excessive irrelevant or ambiguous rules.Therefore,post-processing is crucial not only for removing irrelevant or redundant rules but also for uncovering hidden associations that impact other factors.Recently,several post-processing methods have been proposed,each with its own strengths and weaknesses.In this paper,we propose THAPE(Tunable Hybrid Associative Predictive Engine),which combines descriptive and predictive techniques.By leveraging both techniques,our aim is to enhance the quality of analyzing generated rules.This includes removing irrelevant or redundant rules,uncovering interesting and useful rules,exploring hidden association rules that may affect other factors,and providing backtracking ability for a given product.The proposed approach offers a tailored method that suits specific goals for retailers,enabling them to gain a better understanding of customer behavior based on factual transactions in the target market.We applied THAPE to a real dataset as a case study in this paper to demonstrate its effectiveness.Through this application,we successfully mined a concise set of highly interesting and useful association rules.Out of the 11,265 rules generated,we identified 125 rules that are particularly relevant to the business context.These identified rules significantly improve the interpretability and usefulness of association rules for decision-making purposes. 展开更多
关键词 Association rule learning POST-PROCESSING PREDICTIVE machine learning rule interpretability
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数值积分Newton-cotes公式误差估计证明、cotes系数的计算及Newton-cotes公式局限性的具体分析
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作者 韩之楠 曹绍祯 《电脑编程技巧与维护》 2021年第6期9-12,共4页
分成3部分,分别是Newton-cotes公式误差估计证明、cotes系数的计算、Newton-cotes公式局限性的具体分析。第1部分证明:引入的原函数,将误差估计转化为对插值误差的积分,再将Lagrange插值转化为对Newton插值误差的积分,最后通过研究差商... 分成3部分,分别是Newton-cotes公式误差估计证明、cotes系数的计算、Newton-cotes公式局限性的具体分析。第1部分证明:引入的原函数,将误差估计转化为对插值误差的积分,再将Lagrange插值转化为对Newton插值误差的积分,最后通过研究差商的性质得到结论。第2部分由Newton-cotes公式的构造导出一种与求解Vandermonde方程组有关的计算方法。第3部分列出Newton-cotes公式的3条局限性。 展开更多
关键词 数值积分 newton-cotes公式 误差估计
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Semantic Consistency and Correctness Verification of Digital Traffic Rules
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作者 Lei Wan Changjun Wang +3 位作者 Daxin Luo Hang Liu Sha Ma Weichao Hu 《Engineering》 SCIE EI CAS CSCD 2024年第2期47-62,共16页
The consensus of the automotive industry and traffic management authorities is that autonomous vehicles must follow the same traffic laws as human drivers.Using formal or digital methods,natural language traffic rules... The consensus of the automotive industry and traffic management authorities is that autonomous vehicles must follow the same traffic laws as human drivers.Using formal or digital methods,natural language traffic rules can be translated into machine language and used by autonomous vehicles.In this paper,a translation flow is designed.Beyond the translation,a deeper examination is required,because the semantics of natural languages are rich and complex,and frequently contain hidden assumptions.The issue of how to ensure that digital rules are accurate and consistent with the original intent of the traffic rules they represent is both significant and unresolved.In response,we propose a method of formal verification that combines equivalence verification with model checking.Reasonable and reassuring digital traffic rules can be obtained by utilizing the proposed traffic rule digitization flow and verification method.In addition,we offer a number of simulation applications that employ digital traffic rules to assess vehicle violations.The experimental findings indicate that our digital rules utilizing metric temporal logic(MTL)can be easily incorporated into simulation platforms and autonomous driving systems(ADS). 展开更多
关键词 Autonomous driving Traffic rules DIGITIZATION FORMALIZATION VERIFICATION
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STRONGLY CONVERGENT INERTIAL FORWARD-BACKWARD-FORWARD ALGORITHM WITHOUT ON-LINE RULE FOR VARIATIONAL INEQUALITIES
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作者 姚永红 Abubakar ADAMU Yekini SHEHU 《Acta Mathematica Scientia》 SCIE CSCD 2024年第2期551-566,共16页
This paper studies a strongly convergent inertial forward-backward-forward algorithm for the variational inequality problem in Hilbert spaces.In our convergence analysis,we do not assume the on-line rule of the inerti... This paper studies a strongly convergent inertial forward-backward-forward algorithm for the variational inequality problem in Hilbert spaces.In our convergence analysis,we do not assume the on-line rule of the inertial parameters and the iterates,which have been assumed by several authors whenever a strongly convergent algorithm with an inertial extrapolation step is proposed for a variational inequality problem.Consequently,our proof arguments are different from what is obtainable in the relevant literature.Finally,we give numerical tests to confirm the theoretical analysis and show that our proposed algorithm is superior to related ones in the literature. 展开更多
关键词 forward-backward-forward algorithm inertial extrapolation variational inequality on-line rule
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基于四阶Newton-Cotes公式优化背景值的灰色自记忆模型研究及应用
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作者 张高锋 马艳 +2 位作者 程龙 苟耀峰 孙小敏 《西北水电》 2021年第6期22-25,共4页
科学合理的预测经济社会发展用水需求,是地区水资源规划的基础和前提。针对现有需水预测方法计算成果往往与实际存在一定的差距,本文从需水预测的灰色特性出发,通过采用四阶Newton-Cotes求积公式对灰色微分方程背景值进行优化,在此基础... 科学合理的预测经济社会发展用水需求,是地区水资源规划的基础和前提。针对现有需水预测方法计算成果往往与实际存在一定的差距,本文从需水预测的灰色特性出发,通过采用四阶Newton-Cotes求积公式对灰色微分方程背景值进行优化,在此基础上建立基于四阶Newton-Cotes求积公式优化背景值的灰色自记忆模型,并在城市用水预测中加以应用。实例研究表明,该模型预测精度较高,可作为城市需水量预测的依据。 展开更多
关键词 newton-cotes求积公式 背景值优化 灰色自记忆模型 需水量预测
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Density Clustering Algorithm Based on KD-Tree and Voting Rules
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作者 Hui Du Zhiyuan Hu +1 位作者 Depeng Lu Jingrui Liu 《Computers, Materials & Continua》 SCIE EI 2024年第5期3239-3259,共21页
Traditional clustering algorithms often struggle to produce satisfactory results when dealing with datasets withuneven density. Additionally, they incur substantial computational costs when applied to high-dimensional... Traditional clustering algorithms often struggle to produce satisfactory results when dealing with datasets withuneven density. Additionally, they incur substantial computational costs when applied to high-dimensional datadue to calculating similarity matrices. To alleviate these issues, we employ the KD-Tree to partition the dataset andcompute the K-nearest neighbors (KNN) density for each point, thereby avoiding the computation of similaritymatrices. Moreover, we apply the rules of voting elections, treating each data point as a voter and casting a votefor the point with the highest density among its KNN. By utilizing the vote counts of each point, we develop thestrategy for classifying noise points and potential cluster centers, allowing the algorithm to identify clusters withuneven density and complex shapes. Additionally, we define the concept of “adhesive points” between two clustersto merge adjacent clusters that have similar densities. This process helps us identify the optimal number of clustersautomatically. Experimental results indicate that our algorithm not only improves the efficiency of clustering butalso increases its accuracy. 展开更多
关键词 Density peaks clustering KD-TREE K-nearest neighbors voting rules
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Improved STNModels and Heuristic Rules for Cooperative Scheduling in Automated Container Terminals
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作者 Hongyan Xia Jin Zhu 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第2期1637-1661,共25页
Improving the cooperative scheduling efficiency of equipment is the key for automated container terminals to copewith the development trend of large-scale ships. In order to improve the solution efficiency of the exis... Improving the cooperative scheduling efficiency of equipment is the key for automated container terminals to copewith the development trend of large-scale ships. In order to improve the solution efficiency of the existing spacetimenetwork (STN) model for the cooperative scheduling problem of yard cranes (YCs) and automated guidedvehicles (AGVs) and extend its application scenarios, two improved STN models are proposed. The flow balanceconstraints in the original model are decomposed, and the trajectory constraints of YCs and AGVs are added toacquire the model STN_A. The coupling constraint in STN_A is updated, and buffer constraints are added toSTN_A so that themodel STN_B is built.As the size of the problem increases, the solution speed of CPLEX becomesthe bottleneck. So a heuristic method containing three groups of heuristic rules is designed to obtain a near-optimalsolution quickly. Experimental results showthat the computation time of STN_A is shortened by 49.47% on averageand the gap is reduced by 1.69% on average compared with the original model. The gap between the solution ofthe heuristic rules and the solution of CPLEX is less than 3.50%, and the solution time of the heuristic rules is onaverage 99.85% less than the solution time of CPLEX. Compared with STN_A, the computation time for solvingSTN_B increases by 58.93% on average. 展开更多
关键词 Automated container terminal BUFFER cooperative scheduling heuristic rules space-time network
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Advancements in Medication Rule for Pulmonary Nodules: A Review of Current Research Progress
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作者 Weilan Lin Shun Chen Feng Lu 《Journal of Biosciences and Medicines》 2024年第3期193-203,共11页
This paper reviewed the literature on medication rule of pulmonary nodules in recent years. It is found that contemporary doctors pay more attention to regulating Qi, clearing heat and detoxifying, eliminating phlegm,... This paper reviewed the literature on medication rule of pulmonary nodules in recent years. It is found that contemporary doctors pay more attention to regulating Qi, clearing heat and detoxifying, eliminating phlegm, dissolving phlegm and dissipating masses. They use mild drugs, cold and warm treatments in parallel, combining the tastes of pungent, bitterness, and sweetness at the same time. The treatment focuses on the five viscera with emphasis on the lung meridian while also considering the spleen and stomach functions as well as soothing liver stagnation. This information aims to provide some reference for clinical treatment of pulmonary nodules. 展开更多
关键词 Pulmonary Nodules Medication rule REVIEW
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Heterogeneous information fusion recognition method based on belief rule structure
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作者 WANG Haibin GUAN Xin +1 位作者 YI Xiao SUN Guidong 《Journal of Systems Engineering and Electronics》 SCIE CSCD 2024年第4期955-964,共10页
To solve the problem that the existing situation awareness research focuses on multi-sensor data fusion,but the expert knowledge is not fully utilized,a heterogeneous informa-tion fusion recognition method based on be... To solve the problem that the existing situation awareness research focuses on multi-sensor data fusion,but the expert knowledge is not fully utilized,a heterogeneous informa-tion fusion recognition method based on belief rule structure is proposed.By defining the continuous probabilistic hesitation fuzzy linguistic term sets(CPHFLTS)and establishing CPHFLTS distance measure,the belief rule base of the relationship between feature space and category space is constructed through information integration,and the evidence reasoning of the input samples is carried out.The experimental results show that the proposed method can make full use of sensor data and expert knowledge for recognition.Compared with the other methods,the proposed method has a higher correct recognition rate under different noise levels. 展开更多
关键词 belief rule heterogeneous information intention recognition hesitation fuzzy linguistic
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