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Computational Quantification of Map Projection Distortion by Fractal Dimension of Coastlines
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作者 Franklin Lee 《Journal of Applied Mathematics and Physics》 2024年第5期1890-1903,共14页
Maps, essential tools for portraying the Earth’s surface, inherently introduce distortions to geographical features. While various quantification methods exist for assessing these distortions, they often fall short w... Maps, essential tools for portraying the Earth’s surface, inherently introduce distortions to geographical features. While various quantification methods exist for assessing these distortions, they often fall short when evaluating actual geographic features. In our study, we took a novel approach by analyzing map projection distortion from a geometric perspective. We computed the fractal dimensions of different stretches of coastline before and after projection using the divide-and-conquer algorithm and image processing. Our findings revealed that map projections, even when preserving basic shapes, inevitably stretch and compress coastlines in diverse directions. This analysis method provides a more realistic and practical way to measure map-induced distortions, with significant implications for cartography, geographic information systems (GIS), and geomorphology. By bridging the gap between theoretical analysis and real-world features, this method greatly enhances accuracy and practicality when evaluating map projections. 展开更多
关键词 Map Projection Distortion COASTLINE Fractal dimension CARTOGRAPHY Geographic information Systems
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Study on the Spatial Pattern Changes of Land Use Based on Fractal Dimensions in Tianjin New Coastal Area 被引量:3
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作者 白新萍 《Agricultural Science & Technology》 CAS 2011年第6期879-882,919,共5页
[Objective] The aim was to discuss the spatial pattern changes of land use in Tianjin new coastal area based on fractal dimensions.[Method] By dint of remote and geographic information system technology to obtain the ... [Objective] The aim was to discuss the spatial pattern changes of land use in Tianjin new coastal area based on fractal dimensions.[Method] By dint of remote and geographic information system technology to obtain the data of urban land use in new coastal area from 1993 to 2008,the boundary dimension,radius dimension and information dimension of each land use type were calculated based on fractal dimension.In addition,the revealed land use spatial dimension changes characteristics were analyzed.[Result] The spatial distribution of each land use type in new costal area had distinct fractal characteristics.And,the amount and changes of three types of dimension values effectively revealed the changes of complicatedness,centeredness and evenness of spatial pattern of land use in the study area.The boundary dimension of unused land and salty earth increased incessantly,which suggested its increasing complicatedness.The boundary of the port and wharf and shoal land was getting simpler.The radius dimension of the cultivated land was larger than 2,which suggested that its area spread from center to the surroundings;the one in salty land and waters distributed evenly within different radius space to the center of the city;the one in other land use types reduced gradually from center to the surroundings.The information dimension value in the woodland and orchard land,unused land and shoal land was small,and was in obvious concentrated distribution;the spatial distribution of cultivated and salty land concentrated in the outside area;the construction area in the port and wharf spread gradually on the basis of original state;the spatial distribution of waters and residents and mines were even.[Conclusion] Applying fractal dimensions to the study of spatial pattern changes of urban land use can make up for some disadvantages in classical urban spatial pattern quantitative research,which has favorable practical value. 展开更多
关键词 Land use Fractal dimension Boundary dimension Radial dimension information dimension Tianjin New Coastal Area
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Automatic generation of assembly dimension chain based on tolerance cell 被引量:2
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作者 Zhu Xinglei Li lqngguang +1 位作者 Wang Wei Liu Hao 《Computer Aided Drafting,Design and Manufacturing》 2012年第1期77-83,共7页
In the process of generating assembly dimension chain automatically, there are many problems such as complex assembly relationship, variety of constraints of components and complex dimension and tolerance relations of... In the process of generating assembly dimension chain automatically, there are many problems such as complex assembly relationship, variety of constraints of components and complex dimension and tolerance relations of components. These problems lead to many difficulties in search process and need lots of man-machine interaction. Because of these difficulties, this paper presents a method of automatic generation of assembly dimension chain based on tolerance cell. This method is realized through obtaining assembly tolerance cell and part tolerance cell first. These two types of tolerance cell are extracted and expressed in the form of linked list structure in computer further. Then assembly dimension chain is searched automatically based on obtained tolerance cell, and the correct assembly dimension chain is extracted finally. A system of generating assembly dimension chain automatically has been developed based on DELMIA and successfully deployed in aircraft assembly simulation in the engineerine practice. 展开更多
关键词 tolerance cell assembly information model assembly dimension chain
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Construction of Smart Library Based on the Agricultural Information from Metaverse Horizon
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作者 Weimin YANG Zixuan LIU 《Asian Agricultural Research》 2023年第3期52-54,58,共4页
Metaverse is a virtual world,but it is possible and even becomes a trend that metaverse interacts with the real world along with the sci-tech and social development.Smart library is a main direction of modern library ... Metaverse is a virtual world,but it is possible and even becomes a trend that metaverse interacts with the real world along with the sci-tech and social development.Smart library is a main direction of modern library development,from informatization to digitization and then intelligent-based,modernization of library has been improved qualitatively.Emergence of metaverse brings a brand-new horizon to the generation and application of agricultural information,this paper made primary explorations the requirements and action mechanism of agricultural information on the construction of smart library within the external constraint of metaverse. 展开更多
关键词 Agricultural information Metaverse Smart library dimension
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融合多时间维度视觉与语义信息的图像描述方法
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作者 陈善学 王程 《数据采集与处理》 CSCD 北大核心 2024年第4期922-932,共11页
传统的图像描述方法仅使用当前时刻的视觉信息和语义信息来生成预测词,而没有考虑过去时刻的视觉信息和语义信息,从而导致模型输出的信息在时间维度上比较单一,因此生成的描述语句在准确性上有所欠缺。针对此问题,提出一种融合多时间维... 传统的图像描述方法仅使用当前时刻的视觉信息和语义信息来生成预测词,而没有考虑过去时刻的视觉信息和语义信息,从而导致模型输出的信息在时间维度上比较单一,因此生成的描述语句在准确性上有所欠缺。针对此问题,提出一种融合多时间维度视觉与语义信息的图像描述方法,有效地融合了过去时刻的视觉信息和语义信息,并设计一种门控机制动态地对两种信息进行选择利用。在MSCOCO数据集上进行实验验证,结果表明该方法能够更准确地生成描述语句,和当前最主流的图像描述方法进行对比,性能在各项评价指标上都得到了可观的提升。 展开更多
关键词 图像描述 视觉信息 语义信息 时间维度 门控机制
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高分辨率特征保持的头部姿态软阶段回归算法
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作者 莫建文 梁豪昌 +2 位作者 袁华 姜贵昀 陈明瑶 《电子测量技术》 北大核心 2024年第7期130-137,共8页
针对在头部姿态估计推理过程中由于上下采样操作而导致的姿态特征损失问题,提出了一种高分辨率特征保持的头部姿态软阶段回归算法。该算法首先利用编码器HR-Net对原始人脸图像进行高分辨率特征保持的多尺度特征编码,并在其卷积块中加入T... 针对在头部姿态估计推理过程中由于上下采样操作而导致的姿态特征损失问题,提出了一种高分辨率特征保持的头部姿态软阶段回归算法。该算法首先利用编码器HR-Net对原始人脸图像进行高分辨率特征保持的多尺度特征编码,并在其卷积块中加入TA维度交互模块以捕获更多空间与通道之间的交互信息;然后使用解码器SSR-Net算法对HR-Net输出的不同尺度特征图进行关键参数解码和头部姿态软阶段回归,并引入了高效通道注意力ECA以加强特征通道间的信息交互,减少冗余特征。实验结果表明,所提算法在公开数据集AFLW2000和BIWI上均有优秀表现,其MAE分别降低至4.19和3.00。 展开更多
关键词 头部姿态估计 高分辨率特征 软阶段回归 信息交互 TA维度交互 ECA注意力
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基于扎根理论的我国图书资料专业职称评审条件的评价维度及导向研究
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作者 张学梅 《图书馆研究与工作》 2024年第9期25-32,共8页
基于扎根理论,借助质性分析软件NVivo12plus,对我国31个省(自治区、直辖市)的图书资料专业研究馆员职称评审条件文本进行编码分析。抽取出4个基本评价维度:思想政治与道德品质、基本资格、业务水平以及科研水平,梳理出以德为先,优先高... 基于扎根理论,借助质性分析软件NVivo12plus,对我国31个省(自治区、直辖市)的图书资料专业研究馆员职称评审条件文本进行编码分析。抽取出4个基本评价维度:思想政治与道德品质、基本资格、业务水平以及科研水平,梳理出以德为先,优先高学历人员,鼓励长期从事图书资料专业工作,分类评价,关注专业人员工作对社会和行业发挥实际作用,鼓励潜心研究长期沉淀,“重论文”而不“唯论文”的导向,以及重成果轻实效的导向。分析了目前职称评审条件还可能存在加剧职业倦怠,导致馆员职业发展“功利主义”,团队合力难以凝聚等潜在风险。 展开更多
关键词 扎根理论 图书资料专业 职称评审 评价维度 人才评价
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中国个人信息保护应用与技术进展研究——基于科学知识图谱视角 被引量:1
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作者 刘华玲 梁华璧 王希睿 《情报工程》 2024年第1期42-58,共17页
[目的/意义]大数据时代,公众对个人信息保护的需求日渐多维化,基于科学知识图谱视角分析近十年中国个人信息保护演化趋势与前沿热点有其必要性。[方法/过程]基于文献计量、突现检测、科学知识图谱等多种方式展开分析,以CSSCI和CSCD刊源... [目的/意义]大数据时代,公众对个人信息保护的需求日渐多维化,基于科学知识图谱视角分析近十年中国个人信息保护演化趋势与前沿热点有其必要性。[方法/过程]基于文献计量、突现检测、科学知识图谱等多种方式展开分析,以CSSCI和CSCD刊源分别表征应用与技术维度,梳理近十年国内个人信息保护研究的双维度发展趋势。[结果/结论]我国个人信息保护研究文献数量呈现阶段性增长模式;个人、机构的合作方式以内部学术交流、地域性联系为主,多学科交叉格局有待形成;在应用维度上以图情类主导、公共化、数字化为研究趋势;在技术维度上以计算机类主导、精细化、智能化为研究趋势。全民监督与数据共治成为应对大数据时代个人信息保护新挑战的可行之策。 展开更多
关键词 个人信息保护 科学知识图谱 文献计量 应用维度 技术维度 热点演化
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Demonstration of controlled high-dimensional quantum teleportation
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作者 Min-Yu Lv Xiao-Min Hu +6 位作者 Neng-Fei Gong Tie-Jun Wang Yu Guo Bi-Heng Liu Yun-Feng Huang Chuan-Feng Li Guang-Can Guo 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2024年第3期1-6,共6页
Controlled quantum teleportation(CQT), which is regarded as the prelude and backbone for a genuine quantum internet, reveals the cooperation, supervision, and control relationship among the sender, receiver, and contr... Controlled quantum teleportation(CQT), which is regarded as the prelude and backbone for a genuine quantum internet, reveals the cooperation, supervision, and control relationship among the sender, receiver, and controller in the quantum network within the simplest unit. Compared with low-dimensional counterparts, high-dimensional CQT can exhibit larger information transmission capacity and higher superiority of the controller's authority. In this article, we report a proof-of-principle experimental realization of three-dimensional(3D) CQT with a fidelity of 97.4% ± 0.2%. To reduce the complexity of the circuit, we simulate a standard 4-qutrit CQT protocol in a 9×9-dimensional two-photon system with high-quality operations. The corresponding control powers are 48.1% ± 0.2% for teleporting a qutrit and 52.8% ± 0.3% for teleporting a qubit in the experiment, which are both higher than the theoretical value of control power in 2-dimensional CQT protocol(33%). The results fully demonstrate the advantages of high-dimensional multi-partite entangled networks and provide new avenues for constructing complex quantum networks. 展开更多
关键词 high dimension quantum information quantum teleportation quantum nonlocality
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量纲统一在滑坡易发性评价中的影响分析
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作者 李国营 刘平 +2 位作者 张凯 武倩倩 李玉香 《水文地质工程地质》 CAS CSCD 北大核心 2024年第3期118-129,共12页
以往的区域性滑坡易发性评价研究多以对比不同评价模型结果和改进模型为主,而忽视了所选致灾因子的信息保留以及因子量纲如何统一的问题。为探究致灾因子的相关性和量纲对易发性评价结果的影响,以甘肃省靖远县北部地区作为研究区,选取... 以往的区域性滑坡易发性评价研究多以对比不同评价模型结果和改进模型为主,而忽视了所选致灾因子的信息保留以及因子量纲如何统一的问题。为探究致灾因子的相关性和量纲对易发性评价结果的影响,以甘肃省靖远县北部地区作为研究区,选取高程、坡度、坡向和地形起伏度等12个因子,利用主成分分析提取的新因子参与易发性评价,并采用数据标准化、滑坡密度和信息量值替代法统一致灾因子的量纲,最后基于GIS平台绘制研究区滑坡易发性分区图。通过ROC曲线评估各模型的易发性评价结果精度。结果表明:在信息量模型、逻辑回归模型和感知机模型中,经主成分分析处理的因子得到的模型评价结果精度更高,采用信息量值替代法统一因子的量纲能够进一步提升逻辑回归和感知机模型的评价结果精度;同时,3种评价模型中感知机模型的结果精度最高(AUC=0.9367),优于信息量模型(AUC=0.9173)和逻辑回归模型(AUC=0.9272),是该研究区滑坡易发性评价的理想模型,应优先考虑。研究结果可为类似地区的防灾减灾工作提供基础数据和理论参考。 展开更多
关键词 滑坡易发性评价 致灾因子 主成分分析 信息量模型 逻辑回归模型 感知机模型 量纲
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基于混沌免疫聚类的网络信息流异常检测方法
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作者 胡艳华 张春玉 +1 位作者 崔亚楠 韦灵 《计算机仿真》 2024年第8期400-403,496,共5页
为了保证网络安全运行,维持高质量数据储存环境,提出了基于混沌算法的无线网络信息流异常检测方法。根据无线网络异常因素划分信息流异常类型,根据不同信息流异常类型的特点建立无线网络分布模型。基于上述模型将重叠维数与异常信息流... 为了保证网络安全运行,维持高质量数据储存环境,提出了基于混沌算法的无线网络信息流异常检测方法。根据无线网络异常因素划分信息流异常类型,根据不同信息流异常类型的特点建立无线网络分布模型。基于上述模型将重叠维数与异常信息流相关维度聚类,获得无线网络维度数据。利用异常因素法对已划分的聚类进行属性判定,初始化原始数据和参变量,标注集合内聚簇类别,通过不同阈值实行混沌免疫聚类算法计算,完成网络信息流异常检测。通过实验证明所提方法能够精准检测出异常信息流,且通信开销较低,可保证网络环境安全。 展开更多
关键词 混沌算法 无线网络 网络信息流异常 维度获取 聚类融合
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基于扎根理论的服装设计师品牌孵化影响因素研究
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作者 王焰瑶 白玉苓 《中国商论》 2024年第9期79-83,共5页
在经济迅速发展的当下,消费者个性化的需求为服装设计师品牌的成长与发展提供了土壤,吸引了不少设计师创建和孵化新品牌。本文以我国服装设计师品牌为研究对象,通过访谈及扎根理论方法,探索服装设计师品牌孵化的影响因素,发现影响服装... 在经济迅速发展的当下,消费者个性化的需求为服装设计师品牌的成长与发展提供了土壤,吸引了不少设计师创建和孵化新品牌。本文以我国服装设计师品牌为研究对象,通过访谈及扎根理论方法,探索服装设计师品牌孵化的影响因素,发现影响服装设计师品牌孵化的因素主要包括品牌特征、供应链资源和所选择的营销模式,并探讨了各个因素的构成维度,得出品牌孵化各影响因素之间的关系逻辑,为我国服装设计师品牌孵化提出相应的对策建议,以供参考。 展开更多
关键词 服装设计师品牌 品牌孵化 供应链资料 构成围度 扎根理论
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基于GIS+BIM的地铁工程实景三维可视化关键技术及应用
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作者 王雪健 王家远 +2 位作者 张育雨 张立杰 周小林 《土木建筑工程信息技术》 2024年第4期1-6,共6页
针对地铁工程项目可视化管理中存在的模型精细化不足、数据集成与展示不充分及真实性欠缺等问题,本研究提出了利用GIS和BIM技术作为解决方案,提升地铁工程实景三维建设的效果。首先研究构建了地铁工程实景三维平台的建设框架,分析了数... 针对地铁工程项目可视化管理中存在的模型精细化不足、数据集成与展示不充分及真实性欠缺等问题,本研究提出了利用GIS和BIM技术作为解决方案,提升地铁工程实景三维建设的效果。首先研究构建了地铁工程实景三维平台的建设框架,分析了数据集成与融合、动态层次加载、模型轻量化与显示等关键技术。随后以深圳地铁14号线工程为案例,进行了实景三维可视化平台的建设与功能应用。案例涵盖了工程建设管理图、空间分析可视化、多视角场景漫游及BIM可视化与属性查询等内容,实现了地铁工程项目多源异构数据与模型的集成,提供了多尺度的实景三维可视化展示,为项目管理与决策提供了有力支持。 展开更多
关键词 地铁工程 地理信息系统 建筑信息模型 实景三维 数据集成 可视化
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精准思政课:“一核两驱三维四融”模式探索 被引量:2
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作者 高盼 黄丹 祁文博 《高教学刊》 2024年第6期107-110,114,共5页
精准思政课以学生需求为核心(“一核”),以前沿信息技术、机制创新为驱动(“两驱”),以时代发展、现实需求、理论创新为维度(“三维”),以融入思政课堂、智慧校园、实践课程和教师信息化素养为路径(“四融”),是一种契合时代、平衡供需... 精准思政课以学生需求为核心(“一核”),以前沿信息技术、机制创新为驱动(“两驱”),以时代发展、现实需求、理论创新为维度(“三维”),以融入思政课堂、智慧校园、实践课程和教师信息化素养为路径(“四融”),是一种契合时代、平衡供需、引领未来的思政课模式。 展开更多
关键词 精准思政课 供给侧 信息技术 思政课模式 “一核两驱三维四融”
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基于空间变换矩阵编程的变电工程GIM图元合规化研究
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作者 王振蛟 綦学良 +1 位作者 夏时宇 赵鑫 《吉林电力》 2024年第4期6-9,共4页
针对国内电网信息模型(Grid Information Model,GIM)建模软件众多,数据来源广泛,施工图设计过程中普遍存在图元属性不合规,导致工程模型无法与建筑信息模型(Building Information Modeling,BIM)平台兼容的问题。基于空间变换矩阵的相关... 针对国内电网信息模型(Grid Information Model,GIM)建模软件众多,数据来源广泛,施工图设计过程中普遍存在图元属性不合规,导致工程模型无法与建筑信息模型(Building Information Modeling,BIM)平台兼容的问题。基于空间变换矩阵的相关理论,利用GIM标准基本图元在三维空间中的刚体特性,通过计算机编程实现变电工程GIM模型文件标准基本图元合规化,对数据来源广泛的变电站GIM文件进行快速图元合规化处理,进而提高变电工程三维设计的效率和成品质量。 展开更多
关键词 BIM GIM 刚体 空间变换矩阵 尺寸参数
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智慧报送信息大数据泄露风险容忍度计量算法
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作者 王泷 韩璐 +2 位作者 张磊 陈威宇 何建锋 《微型电脑应用》 2024年第9期114-117,共4页
为了准确计算纪检信息数据泄露风险容忍度,确保纪检信息安全性,研究智慧报送信息大数据泄露风险容忍度计量算法。从纪检信息数据收集与关联规则挖掘等角度出发,构建纪检报送信息大数据泄露感知架构。基于该架构,从纪检报送信息大数据泄... 为了准确计算纪检信息数据泄露风险容忍度,确保纪检信息安全性,研究智慧报送信息大数据泄露风险容忍度计量算法。从纪检信息数据收集与关联规则挖掘等角度出发,构建纪检报送信息大数据泄露感知架构。基于该架构,从纪检报送信息大数据泄露的内容、纪检信息大数据泄露对象、已被泄露的纪检信息大数据被如何使用三方面出发,运用基于灰色关联分析及最优基点法,计算纪检报送信息大数据敏感度,获得泄露概率,计算风险容忍度。采用优化后的BDM机制完成泄露风险容忍度与受偿意愿间的转换,根据受偿意愿与敏感数据泄露风险容忍度之间表现出典型的反变相关性确定风险容忍度值。实验结果显示,该算法可准确挖掘纪检信息中的敏感数据,获取高精度的风险容忍度值,提升纪检报送信息大数据的安全性。 展开更多
关键词 智慧报送信息 大数据泄露 风险容忍度 计量维度 敏感数据挖掘 BDM机制
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基于哈希算法的互联网平台数据中台资源检索方法
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作者 梁艳春 阮宜龙 +1 位作者 李晨阳 张宏俊 《现代传输》 2024年第2期37-40,共4页
由于检索请求数据自身具有高维特征,导致检索输出的查准率和查全率偏低,为此,本文提出基于哈希算法的互联网平台数据中台资源检索方法。以信息跨域检索为导向,借助哈希算法实现对输入互联网平台数据中台资源检索请求的降维处理,在对输... 由于检索请求数据自身具有高维特征,导致检索输出的查准率和查全率偏低,为此,本文提出基于哈希算法的互联网平台数据中台资源检索方法。以信息跨域检索为导向,借助哈希算法实现对输入互联网平台数据中台资源检索请求的降维处理,在对输入数据进行清洗、去重、分词等预处理操作的基础上,使用词袋模型的方法,将文本转化为向量,再借助主成分分析法实现对向量的降维。在检索阶段,将与检索请求相似度最高(欧氏距离最小的)资源作为最终的检索输出结果。在测试结果中,资源检索方法面对不同类型的资源检索请求,对应的查准率稳定在91.0%以上,查全率稳定在90.0%以上。 展开更多
关键词 哈希算法 互联网平台 数据中台 资源检索 信息跨域检索 降维处理 词袋模型 主成分分析法 欧氏距离
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Novel modeling on numerical computing the geo-deformation information in coalmine based on the GIS-Excel 被引量:1
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作者 杨可明 Wang Libo +3 位作者 Zhang Tao Qian Xiaoli Wang Linwei Liu Shiwen 《High Technology Letters》 EI CAS 2013年第2期156-161,共6页
Numerical simulation modeling is a hotspot in the geological engineering computing field. Tak- ing a fast Langrangian analysis of continua in 3 dimensions (FLAC3D) numerical modeling on com- puting the geo-deformati... Numerical simulation modeling is a hotspot in the geological engineering computing field. Tak- ing a fast Langrangian analysis of continua in 3 dimensions (FLAC3D) numerical modeling on com- puting the geo-deformation information caused by the mining subsidence in a coalmine for example, a new GIS-Excel modeling method is proposed to build geologic strata within the simulation range combined with the coal-seam dip angle of the underground mining working-planes. First of all, the coal-seam model of the numerical computing is built by using the geographic information system (GIS) according to the stripe-through principle and the calculating formula on the size of the model blocks in the paper defined, then the FLAC3D numerical computing model of all geologic strata with- in the simulation range is also built based on the calculating formula of thickness of each stratum and the Excel fast computing advantages. The GIS-Excel method is good at the higher modeling accuracy, seldom making mistakes and consuming less time. The reliability and validity of the method is veri- fied well by its practical applications in the coalmine area. 展开更多
关键词 numerical simulation mining subsidence fast Langrangian analysis of continua in 3dimensions FLAC3D) modeling geo-deformation information geographic information system (GIS)
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DETECTION METHOD OF SPOT WELDING BASED ON MULTI-INFORMATION FUSION AND FRACTAL 被引量:3
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作者 LIU Pengfei SHAN Ping +2 位作者 LUO Zhen SHEN Junqi QIN Hede 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2008年第6期76-81,共6页
A novel detection method of support vector machine (SVM) based on fractal dimension of signals is presented. And models of SVM are made based on nugget size defects of spot welding. Classification using these traine... A novel detection method of support vector machine (SVM) based on fractal dimension of signals is presented. And models of SVM are made based on nugget size defects of spot welding. Classification using these trained SVM models is done to signals of spot welding. It is shown from effect of different SVM models that these models with different inputs. In detection of defects, these models with inputs including sound signal have a high percentage of accuracy, the detection accuracy of these models with inputs including voltage signal will reduce. So the SVM models based on fractal dimensions of sound are some optimal nondestructive detection ones. At last a comparison between SVM detection model and ANNS detection model is researched which indicates that SVM is a more effective measure than Artificial neural networks in detection of nugget size defects during spot welding. 展开更多
关键词 Multi-information fusion Support vector machine Box counting dimension DETECTION Spot welding
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A Fourier Series Proof That the Axial like the Transverse Optical Doppler Shift Impacts Time and Information Rates
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作者 Samuel Reich 《Journal of High Energy Physics, Gravitation and Cosmology》 2019年第4期992-994,共3页
In writings on relativity time, the various relations are only changed by the transverse shift. This paper proves that the axial Doppler shift does that as well and gives some impacts of that on common differential re... In writings on relativity time, the various relations are only changed by the transverse shift. This paper proves that the axial Doppler shift does that as well and gives some impacts of that on common differential relations in physics. When a modulated signal lasting a time = T is subjected to an optical Doppler shift K (either axial or transverse or both), where K is shifted frequency/original frequency, the Doppler shifted signal will last T/K. This because all shifted harmonics of its Fourier series (with a fundamental period of T) will last 1/K times the period of the original harmonic. The reader can graph any Fourier series and then graph its shifted series. The reader will see the shifted period is T/K. The Fourier series of the original repeats when time is greater than T and the shifted one when time is greater than T/K, which means the original series only represents the signal from time = 0 to T and the shifted series represents the shifted signal from time = 0 to T/K. Hence, the shifted one has all of the information in T/K as the original has in T. Therefore everything in the series including information is T/K long in the shifted series. Therefore, both the axial and the transverse Doppler shift change time periods in a vacuum, independent of material involved. That has not been obvious for over 100 years the axial shift changes time from the definition of frequency = 1/time. 展开更多
关键词 Space TIME RELATIVITY DOPPLER TIME informATION Rates informATION Transfer MISSING dimensions
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