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A CLOSED SYSTEM OF EQUATIONS FOR DENSE TWO-PHASE FLOW AND EXPRESSIONS OF SHEARING STRESS OF DISPERSED PHA’E AT A WALL
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作者 林多敏 蔡树棠 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1989年第8期679-687,共9页
Inthis paper, each of the two phases in dense two-phase flow is considered as continuous medium and the fundamental equations for two-phase flow arc described in Eulerian form. The generalized constitutive relation of... Inthis paper, each of the two phases in dense two-phase flow is considered as continuous medium and the fundamental equations for two-phase flow arc described in Eulerian form. The generalized constitutive relation of the Bingham fluid is applied to the dispersed phase with the analysis oj physical mechanism of dense two-phase flow. The shearing stress of dispersed phase at a wall is used to give a boundary condition. Then a mathematical model for dense two-phase flow is obtained. In addition, the expressions of shearing stress of dispersed phase at a wall is derived according to the fundamental model of the friclional collision between dispersed-plutse particles and the wall. 展开更多
关键词 E AT A WALL A closeD SYSTEM OF EQUATIONS FOR dense TWO-PHASE FLOW AND EXPRESSIONS OF SHEARING STRESS OF DISPERSED PHA
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A Fast Algorithm for Mining Top-Rank-k Erasable Closed Patterns
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作者 Ham Nguyen Tuong Le 《Computers, Materials & Continua》 SCIE EI 2022年第8期3571-3583,共13页
The task of mining erasable patterns(EPs)is a data mining problem that can help factory managers come up with the best product plans for the future.This problem has been studied by many scientists in recent times,and ... The task of mining erasable patterns(EPs)is a data mining problem that can help factory managers come up with the best product plans for the future.This problem has been studied by many scientists in recent times,and many approaches for mining EPs have been proposed.Erasable closed patterns(ECPs)are an abbreviated representation of EPs and can be con-sidered condensed representations of EPs without information loss.Current methods of mining ECPs identify huge numbers of such patterns,whereas intelligent systems only need a small number.A ranking process therefore needs to be applied prior to use,which causes a reduction in efficiency.To overcome this limitation,this study presents a robust method for mining top-rank-k ECPs in which the mining and ranking phases are combined into a single step.First,we propose a virtual-threshold-based pruning strategy to improve the mining speed.Based on this strategy and dPidset structure,we then develop a fast algorithm for mining top-rank-k ECPs,which we call TRK-ECP.Finally,we carry out experiments to compare the runtime of our TRK-ECP algorithm with two algorithms modified from dVM and TEPUS(Top-rank-k Erasable Pattern mining Using the Subsume concept),which are state-of-the-art algorithms for mining top-rank-k EPs.The results for the running time confirm that TRK-ECP outperforms the other experimental approaches in terms of mining the top-rank-k ECPs. 展开更多
关键词 pattern mining erasable closed pattern mining top-rank-k pattern mining
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Knowledge Acquisition from Forestry Machinery Patent Based on the Algorithm for Closed Weighted Pattern Mining
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作者 Huiling Yu Jie Guo +2 位作者 Dongyan Shi Guangsheng Chen Shanshan Cui 《国际计算机前沿大会会议论文集》 2015年第1期93-94,共2页
The application of big data mining can create over a trillion dollars value. Patents contain a great deal of new technologies and new methods which have unique value in the product innovation. In order to improve the ... The application of big data mining can create over a trillion dollars value. Patents contain a great deal of new technologies and new methods which have unique value in the product innovation. In order to improve the effectiveness of big data mining and aid the innovation of products of forestry machinery, the algorithm for closed weighted pattern mining is applied to acquire the function knowledge in the patents of forestry machinery. Compared with the other algorithms for mining patterns, the algorithm is more suitable for the characteristics of patent data. It not only takes into account the importance of different items to reduce the search space effectively, but also avoids achieving excessive uninteresting patterns below the premise that assures quality. The extensive performance study shows that the patterns which are mined by the closed weighted pattern algorithm are more representative and the acquired knowledge has more realistic application significance. 展开更多
关键词 FORESTRY MACHINERY PATENT Knowledge acquisition closeD frequent pattern WEIGHTED frequent pattern
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密井网区叠前高分辨率反演及其在薄储层预测的应用
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作者 杨会东 梁宇 +3 位作者 徐立恒 蔡东梅 付宪弟 周华建 《大庆石油地质与开发》 CAS 北大核心 2024年第5期132-141,共10页
针对大庆长垣油田密井网区SⅡ油层组陆相河流-三角洲相沉积微相类型变化快、井间厚度2 m以下的窄小河道砂体预测误差大、河道走向预测多解性强、砂体间连通关系判别差异性大等问题,以长垣油田A区块为例,开展叠前井控道集处理技术、基于... 针对大庆长垣油田密井网区SⅡ油层组陆相河流-三角洲相沉积微相类型变化快、井间厚度2 m以下的窄小河道砂体预测误差大、河道走向预测多解性强、砂体间连通关系判别差异性大等问题,以长垣油田A区块为例,开展叠前井控道集处理技术、基于改进的Xu-White岩石物理模拟技术、基于“波形指示马尔科夫链-蒙特卡洛”随机模拟算法的叠前波形指示反演技术研究。结果表明:研究区砂岩储层具有低纵波阻抗、低纵横波速度比值的特征,纵波阻抗为3.8~8.2 Gg/(m^(2)·s),纵横波速度比为1.7~2.1;随时砂岩厚度的增加,其纵波阻抗及纵横波速度比有减小的趋势。通过70口后验井的定量分析及评价,在密井网区叠前波形指示反演对厚度为[1,2)m的薄互层砂体识别精度为80.7%,对厚度大于等于2 m的砂体识别精度为85.1%。研究成果对河流―三角洲相薄储层开发方案的合理制定及措施调整具有指导意义。 展开更多
关键词 大庆油田 密井网区 叠前反演 薄储层预测 措施挖潜
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基于密井网和井间示踪剂资料的浅水三角洲单砂体沉积构型研究——以东营凹陷胜坨油田二区沙二段1-2砂组为例
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作者 孙以德 刘常妮 +2 位作者 李浩男 许允杰 吴胜和 《油气地质与采收率》 CAS CSCD 北大核心 2024年第2期39-47,共9页
浅水三角洲分流河道和河口坝砂体平面上常呈连片状,难以准确划分其单砂体,限制了剩余油分布的精准预测,制约了油田采收率的进一步提高。基于岩心和测井等资料,借助密井网和井间示踪剂数据,系统表征东营凹陷胜坨油田二区沙二段1-2砂组浅... 浅水三角洲分流河道和河口坝砂体平面上常呈连片状,难以准确划分其单砂体,限制了剩余油分布的精准预测,制约了油田采收率的进一步提高。基于岩心和测井等资料,借助密井网和井间示踪剂数据,系统表征东营凹陷胜坨油田二区沙二段1-2砂组浅水三角洲单砂体沉积构型特征。研究结果表明:胜坨油田二区沙二段1-2砂组发育浅水三角洲沉积,包括浅水三角洲平原亚相和浅水三角洲前缘亚相,发育分流河道、溢岸、河口坝、滩坝等微相。浅水三角洲砂体划分为4个构型级次(5~8级),本次研究的单砂体属于8级构型单元。综合利用密井网和井间示踪剂数据,识别了单砂体的6种侧向接触样式:河道-溢岸-河道拼接式、河道-河道切叠式、滩坝-滩坝拼接式、河口坝-河口坝拼接式、坝上河道切割河口坝式和泥岩分隔式。井间示踪剂资料显示,坝上河道切割河口坝式侧向接触样式砂体连通性最好,其次为河道-河道切叠式、河口坝-河口坝拼接式和滩坝-滩坝拼接式,最差为河道-溢岸-河道拼接式。建立了研究区浅水三角洲单砂体沉积构型模式,其中浅水三角洲平原微相类型主要为分流河道和溢岸,单一分流河道砂体间接触样式主要有侧向切叠、侧向与溢岸砂体相连、垂向叠加和斜列叠加4类;浅水三角洲前缘微相类型主要为分流河道、河口坝和滩坝,单一河口坝砂体间接触样式有垂向叠加、侧向拼接、斜列叠加和泥岩分隔4类,单一滩坝砂体间有侧向拼接和垂向叠加2类样式。 展开更多
关键词 浅水三角洲 砂体构型 密井网 示踪剂 东营凹陷
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Synthetical condition assessment of long span suspension bridge based on closeness degree and FAHP 被引量:1
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作者 郭彤 李爱群 +1 位作者 赵大亮 王浩 《Journal of Southeast University(English Edition)》 EI CAS 2007年第2期261-265,共5页
Based on the theory of pattern recognition, the concept of closeness degree between fuzzy sets is brought into the condition assessment of long span bridges. Using the fuzzy analytic hierarchy process (FAHP), a math... Based on the theory of pattern recognition, the concept of closeness degree between fuzzy sets is brought into the condition assessment of long span bridges. Using the fuzzy analytic hierarchy process (FAHP), a mathematical model of a multi-objective assessment of a long span suspension bridge is set up. An example is given to show the procedure in the synthetical condition assessment of the Runyang Suspension Bridge, which includes the hierarchical division, the definition of factor weights and fuzzy membership functions, and the calculation of closeness degrees, etc. The assessment combines both the data from the health monitoring system and the manual tests. The classification of evaluation items as well as the calculation of deterministic and nondeterministic items is presented. Compared with the traditional method of point rating, this method can better describe the discreteness of monitoring data and the fuzziness in the condition assessment. 展开更多
关键词 pattern recognition fuzzy analytic hierarchy process closeness degree synthetical condition assessment suspension bridge
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一种基于Close模式发现用户频繁访问路径的方法 被引量:2
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作者 陈敏 苗夺谦 《计算机工程》 CAS CSCD 北大核心 2007年第8期14-16,19,共4页
Web日志挖掘的一个主要任务是获得用户的浏览模式,这对Web站点的改进和为用户提供个性化服务提供了非常有价值的潜在信息。该文在分析用户访问模式的特点后,提出了Close模式的概念,基于此概念提出了一种挖掘用户频繁访问模式的Close算... Web日志挖掘的一个主要任务是获得用户的浏览模式,这对Web站点的改进和为用户提供个性化服务提供了非常有价值的潜在信息。该文在分析用户访问模式的特点后,提出了Close模式的概念,基于此概念提出了一种挖掘用户频繁访问模式的Close算法。该算法利用频繁访问模式的封闭特性,挖掘出既是频繁的又是封闭的访问模式,在一定程度上减少了下一阶段“寻找最大频繁访问模式”的工作量。用实际数据对算法的性能进行了验证和分析。 展开更多
关键词 WEB挖掘 频繁访问模式 访问模式的顺序子集 close模式
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低频三阶超心形指向性声源设计
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作者 王秋木 蓝宇 范军 《声学学报》 EI CAS CSCD 北大核心 2024年第1期117-128,共12页
为提高圆周阵列主极大的指向性增益,提出基于圆周等间距六元密排阵的低频三阶超心形指向性声源,利用点源方法对其波束特性进行研究与分析,得到了指向性声源的优化方案。以具有弱互辐射效应的单边辐射弯张换能器作为圆周密排阵阵元,利用... 为提高圆周阵列主极大的指向性增益,提出基于圆周等间距六元密排阵的低频三阶超心形指向性声源,利用点源方法对其波束特性进行研究与分析,得到了指向性声源的优化方案。以具有弱互辐射效应的单边辐射弯张换能器作为圆周密排阵阵元,利用有限元方法分析了三阶超心形指向性声源的声辐射特性,相比单极子声源,其主极大方向指向性增益为8.0 dB,可达到提高增益的目的。研制了实验样机,经水池实验获得该声源的工作特性:谐振频率为0.92 kHz,对应发送电压响应级为139.0 dB,−3 dB波束宽度为56.0°,各旁瓣小于−15.0 dB。有限元计算与实测结果验证了优化方案的可行性,实现了低频三阶超心形指向性发射。 展开更多
关键词 超心形指向性 密排阵 单边辐射弯张换能器 弱互辐射
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基于叠覆朵体模式的厚层三角洲前缘砂体精细刻画——以大庆油田杏六中区PⅠ油层组为例
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作者 李卓奕 尹太举 《断块油气田》 CAS CSCD 北大核心 2024年第1期77-85,共9页
为了厘清大庆油田杏六中区PⅠ油层组厚层三角洲前缘砂体的内部结构特征,为剩余油开发提供地质支撑,文中针对按照水下分流河道模式无法精细刻画目标砂体的问题,引入叠覆朵体模式,提出六步剖析法,依据密井网资料,对目标砂体的内部结构进... 为了厘清大庆油田杏六中区PⅠ油层组厚层三角洲前缘砂体的内部结构特征,为剩余油开发提供地质支撑,文中针对按照水下分流河道模式无法精细刻画目标砂体的问题,引入叠覆朵体模式,提出六步剖析法,依据密井网资料,对目标砂体的内部结构进行了精细刻画。结果表明:1)按照叠覆朵体模式,能够较清楚地刻画目标砂体的内部结构特征。2)运用六步剖析法(即确定标志层,划分等时地层单元;进行底拉平处理,认识等时地层单元内砂体的内部结构特征;识别较大的沉积界面,区分并追踪复合朵体;在复合朵体内识别单朵体,刻画其分布;分析朵体间接触关系,确定朵体间连通性;结合生产动态资料,验证剖析结果的正确性),对目标砂体的刻画结果打破了三角洲前缘砂体呈层状结构的传统认识。3)目标砂体内部可以以进积、退积特征划分为一系列的沉积复合朵体和单朵体。按照叠覆朵体模式,运用六步剖析法对砂体内部结构的刻画结果,避免了传统的基于相带的砂体结构剖析法中跨沉积时间单元所造成的对砂体内部结构认识的偏差,为剩余油分析提供了可靠的依据。 展开更多
关键词 叠覆朵体 砂体内部结构 砂体连通性 三角洲前缘砂体 密井网区
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New algorithm of mining frequent closed itemsets
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作者 张亮 任永功 付玉 《Journal of Southeast University(English Edition)》 EI CAS 2008年第3期335-338,共4页
A new algorithm based on an FC-tree (frequent closed pattern tree) and a max-FCIA (maximal frequent closed itemsets algorithm) is presented, which is used to mine the frequent closed itemsets for solving memory an... A new algorithm based on an FC-tree (frequent closed pattern tree) and a max-FCIA (maximal frequent closed itemsets algorithm) is presented, which is used to mine the frequent closed itemsets for solving memory and time consuming problems. This algorithm maps the transaction database by using a Hash table,gets the support of all frequent itemsets through operating the Hash table and forms a lexicographic subset tree including the frequent itemsets.Efficient pruning methods are used to get the FC-tree including all the minimum frequent closed itemsets through processing the lexicographic subset tree.Finally,frequent closed itemsets are generated from minimum frequent closed itemsets.The experimental results show that the mapping transaction database is introduced in the algorithm to reduce time consumption and to improve the efficiency of the program.Furthermore,the effective pruning strategy restrains the number of candidates,which saves space.The results show that the algorithm is effective. 展开更多
关键词 frequent itemsets frequent closed itemsets minimum frequent closed itemsets maximal frequent closed itemsets frequent closed pattern tree
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HTCLOSE:快速挖掘微阵列数据集中的频繁闭合模式
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作者 缪裕青 金波 陈国良 《小型微型计算机系统》 CSCD 北大核心 2008年第2期274-278,共5页
由于微阵列数据集行(样本)少列(基因)多的特征,使得采用传统列枚举方法对其进行频繁闭合模式挖掘较为困难.基于行枚举方法,提出超链接结构HT-struct,并基于该结构提出频繁闭合模式挖掘新算法HTCLOSE.算法采用深度优先搜索策略,结合高效... 由于微阵列数据集行(样本)少列(基因)多的特征,使得采用传统列枚举方法对其进行频繁闭合模式挖掘较为困难.基于行枚举方法,提出超链接结构HT-struct,并基于该结构提出频繁闭合模式挖掘新算法HTCLOSE.算法采用深度优先搜索策略,结合高效的修剪技术和巧妙的链表组织技术,在时间和空间上均得到了优化.实验表明,HTCLOSE算法通常快于行枚举算法CARPENTER. 展开更多
关键词 数据挖掘 关联规则 频繁闭合模式 微阵列数据集 生物信息学
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基于闭合频繁模式的半随机森林数据流分类算法
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作者 孙艳歌 邵罕 蒋明毅 《信阳师范学院学报(自然科学版)》 CAS 2024年第4期442-448,共7页
提出了一种基于闭合频繁模式的半随机森林数据流分类算法(Semi-Random Forest based on Closed Frequent Pattern,SRFCFP),以解决数据流中噪声和概念漂移问题。SRFCFP利用闭合频繁模式对数据流进行表示,去除冗余信息和噪声,突出数据特... 提出了一种基于闭合频繁模式的半随机森林数据流分类算法(Semi-Random Forest based on Closed Frequent Pattern,SRFCFP),以解决数据流中噪声和概念漂移问题。SRFCFP利用闭合频繁模式对数据流进行表示,去除冗余信息和噪声,突出数据特征。采用半随机森林建立分类模型,并通过基于时间衰减的模式集更新机制适应数据流的无限性。为了检测概念漂移并及时适应,引入了一种模式集差异性度量方式,用于测量数据分布变化。实验结果表明,在MOA平台下使用真实和合成数据集,SRFCFP在平均精度上超越了相关对比算法,并能有效处理数据流中的概念漂移和噪声问题。 展开更多
关键词 数据流 闭合频繁模式 半随机森林 概念漂移 噪声
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婚纱礼服胸衣样板设计与工艺
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作者 孙艳丽 《纺织科技进展》 CAS 2024年第7期42-47,共6页
紧身胸衣的塑形和美观性对婚纱礼服穿着后的身体曲线和外观造型有着重要影响,从婚纱礼服紧身胸衣的样板设计与制作工艺2大方面进行阐述,对获取胸衣样板的方式、胸衣装饰工艺分类及特点、胸衣鱼骨分类及特点、鱼骨缝制工艺、杯垫缝制工... 紧身胸衣的塑形和美观性对婚纱礼服穿着后的身体曲线和外观造型有着重要影响,从婚纱礼服紧身胸衣的样板设计与制作工艺2大方面进行阐述,对获取胸衣样板的方式、胸衣装饰工艺分类及特点、胸衣鱼骨分类及特点、鱼骨缝制工艺、杯垫缝制工艺、开合工艺进行详细地论述,对不同的样板设计方法与工艺制作方法的优缺点及适用情况进行对比分析,为婚纱礼服胸衣类产品的研究与开发提供参考。设计师可以根据实际情况和生产需求选择合适的样板设计方法与工艺。 展开更多
关键词 胸衣样板 装饰工艺 鱼骨工艺 吊杯工艺 开合工艺
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城市密集建成区生态安全格局演变特征及优化研究——以成都市中心城区为例
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作者 谭倩倩 毕凌岚 《城市建筑》 2024年第15期96-100,141,共6页
城市密集建成区由于建成面积较高、建设强度较大成为城市中生态环境问题最为突出的区域,构建生态安全格局对于密集建成区的可持续发展具有重要作用。本研究以成都市中心城区为例,根据景观连通性和生境质量指数提取生态源地,基于MCR模型... 城市密集建成区由于建成面积较高、建设强度较大成为城市中生态环境问题最为突出的区域,构建生态安全格局对于密集建成区的可持续发展具有重要作用。本研究以成都市中心城区为例,根据景观连通性和生境质量指数提取生态源地,基于MCR模型识别生态廊道,分析2005—2018年生态安全格局的演变规律,总结演变特征,为该密集建成区的发展提出建议。本研究根据生态源地的辐射范围,结合卫星影像确立“生态痛点”,提出“源地建设三步走战略”。通过生态踏脚石的增建,提升廊道连通性,增强区域生态格局网络的稳定性。结果显示:优化后的格局网络由36个生态源地、117条生态廊道、8个生态节点组成。源地和廊道的辐射空缺得到缓解,区域整体的格局网络较为均衡。 展开更多
关键词 城市密集建成区 MCR模型 生态安全格局 成都市中心城区
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Automatic three-dimensional reconstruction based on four-view stereo vision using checkerboard pattern 被引量:5
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作者 XIONG Jie ZHONG Si-dong +1 位作者 LIU Yong TU Li-fen 《Journal of Central South University》 SCIE EI CAS CSCD 2017年第5期1063-1072,共10页
An automatic three-dimensional(3D) reconstruction method based on four-view stereo vision using checkerboard pattern is presented. Mismatches easily exist in traditional binocular stereo matching due to the repeatable... An automatic three-dimensional(3D) reconstruction method based on four-view stereo vision using checkerboard pattern is presented. Mismatches easily exist in traditional binocular stereo matching due to the repeatable or similar features of binocular images. In order to reduce the probability of mismatching and improve the measure precision, a four-camera measurement system which can add extra matching constraints and offer multiple measurements is applied in this work. Moreover, a series of different checkerboard patterns are projected onto the object to obtain dense feature points and remove mismatched points. Finally, the 3D model is generated by performing Delaunay triangulation and texture mapping on the point cloud obtained by four-view matching. This method was tested on the 3D reconstruction of a terracotta soldier sculpture and the Buddhas in the Mogao Grottoes. Their point clouds without mismatched points were obtained and less processing time was consumed in most cases relative to binocular matching. These good reconstructed models show the effectiveness of the method. 展开更多
关键词 three-dimensional reconstruction four-view STEREO VISION CHECKERBOARD pattern dense point
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Visual Study on Flow and Operational Characteristics of Flat Plate Closed Loop Pulsating Heat Pipes 被引量:2
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作者 杨洪海 Groll Manfred Khandekar Sameer 《Journal of Donghua University(English Edition)》 EI CAS 2009年第1期80-84,共5页
This paper presents an experimental study including visualization on a flat plate closed loop pulsating heat pipes.It consists of a total of 40 channels with square cross section(2 mm×2 mm,165 mm long) machined d... This paper presents an experimental study including visualization on a flat plate closed loop pulsating heat pipes.It consists of a total of 40 channels with square cross section(2 mm×2 mm,165 mm long) machined directly on an aluminum plate(180 mm×120 mm×3 mm) covered by a transparent plate.The working fluid employed is ethanol.As a result,various flow patterns and their transitions are observed and found to be related to the fluid fill ratio,input heat load and the device orientation.Also the operational characteristics and working mechanism are discussed. 展开更多
关键词 flat plate closed loop pulsating heat pipes fill ratio flow patterns operational characteristics
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An efficient algorithm for mining closed itemsets 被引量:1
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作者 刘君强 潘云鹤 《Journal of Zhejiang University Science》 CSCD 2004年第1期8-15,共8页
This paper presents a new efficient algorithm for mining frequent closed itemsets. It enumerates the closed set of frequent itemsets by using a novel compound frequent itemset tree that facilitates fast growth and eff... This paper presents a new efficient algorithm for mining frequent closed itemsets. It enumerates the closed set of frequent itemsets by using a novel compound frequent itemset tree that facilitates fast growth and efficient pruning of search space. It also employs a hybrid approach that adapts search strategies, representations of projected transaction subsets, and projecting methods to the characteristics of the dataset. Efficient local pruning, global subsumption checking, and fast hashing methods are detailed in this paper. The principle that balances the overheads of search space growth and pruning is also discussed. Extensive experimental evaluations on real world and artificial datasets showed that our algorithm outperforms CHARM by a factor of five and is one to three orders of magnitude more efficient than CLOSET and MAFIA. 展开更多
关键词 Knowledge discovery Data mining Frequent closed patterns Association rules
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Effect of concentration and adsorption time on the formation of a large-scale origami pattern
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作者 Wen-Jing Liu Ping Zhang +5 位作者 Tong Sun Lin Li Yu-Hui Wei Kai-Zhe Wang Lin Liu Bin Li 《Nuclear Science and Techniques》 SCIE CAS CSCD 2019年第7期62-67,共6页
The arrangement of DNA-based nanostructures into the desired large-scale periodic pattern with the highest possible accuracy and control is essential for the DNA application in functional biomaterials;however, formati... The arrangement of DNA-based nanostructures into the desired large-scale periodic pattern with the highest possible accuracy and control is essential for the DNA application in functional biomaterials;however, formation of a DNA nanostructure pattern without utilizing the molecular interactions in nanotechnology field remains difficult. In this article, we use the optimal concentration and adsorption time of origami to induce DNA origami in the form of a large-scale 2D pattern on mica without changing the origami itself. DNA origami structures can form a pattern by close packing of symmetric and electrostatic interactions between ions, which was confirmed by the atomic force microscopy images. Furthermore, we identified favorable conditions for the concentration of enable pattern formation with DNA origami. This work provides an insight to understand the adsorption of DNA on mica and guides researches on regular DNA nanostructure pattern, which can serve as templates for pattern formation of proteins or other biomolecules. 展开更多
关键词 DNA ORIGAMI pattern ATOMIC force MICROSCOPY close PACKING
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Some properties on far-field pattern of scattering by penetrable obstacle in ocean waveguide
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作者 潘文峰 尤云祥 +1 位作者 缪国平 李卓球 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第2期239-250,共12页
This paper is concerned with the properties of propagation fax-field patterns corresponding to the scattering of time harmonic acoustic waves by a bounded penetrable obstacle in an ocean waveguide. The sets of solutio... This paper is concerned with the properties of propagation fax-field patterns corresponding to the scattering of time harmonic acoustic waves by a bounded penetrable obstacle in an ocean waveguide. The sets of solutions to the transmission problem are constructed such that the restriction of these solutions to the boundary of the penetrable obstacle is dense in a Hilbert space. Then conditions under which a set of propagation far-field patterns is complete in a Hilbert space are determined. These properties are important in investigating inverse transmission problems in an ocean waveguide. 展开更多
关键词 oceanic waveguide penetrable object far-field pattern COMPLETENESS denseness
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On the Decomposition of a Bounded Closed Interval of the Real Line into Closed Sets
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作者 Edgar A. Cohen 《Advances in Pure Mathematics》 2013年第4期405-408,共4页
It has been shown by Sierpinski that a compact, Hausdorff, connected topological space (otherwise known as a continuum) cannot be decomposed into either a finite number of two or more disjoint, nonempty, closed sets o... It has been shown by Sierpinski that a compact, Hausdorff, connected topological space (otherwise known as a continuum) cannot be decomposed into either a finite number of two or more disjoint, nonempty, closed sets or a countably infinite family of such sets. In particular, for a closed interval of the real line endowed with the usual topology, we see that we cannot partition it into a countably infinite number of disjoint, nonempty closed sets. On the positive side, however, one can certainly express such an interval as a union of c disjoint closed sets, where c is the cardinality of the real line. For example, a closed interval is surely the union of its points, each set consisting of a single point being closed. Surprisingly enough, except for a set of Lebesgue measure 0, these closed sets can be chosen to be perfect sets, i.e., closed sets every point of which is an accumulation point. They even turn out to be nowhere dense (containing no intervals). Such nowhere dense, perfect sets are sometimes called Cantor sets. 展开更多
关键词 CANTOR SETS CARDINALITY DISJOINT closed SETS DYADIC Representation INTERLACING DYADIC Expansions Generators of SETS Nowhere dense
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