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Correlation between the rock mass properties and maximum horizontal stress:A case study of overcoring stress measurements
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作者 Peng Li Meifeng Cai +2 位作者 Shengjun Miao Yuan Li Yu Wang 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS 2025年第1期39-48,共10页
Understanding the mechanical properties of the lithologies is crucial to accurately determine the horizontal stress magnitude.To investigate the correlation between the rock mass properties and maximum horizontal stre... Understanding the mechanical properties of the lithologies is crucial to accurately determine the horizontal stress magnitude.To investigate the correlation between the rock mass properties and maximum horizontal stress,the three-dimensional(3D)stress tensors at 89 measuring points determined using an improved overcoring technique in nine mines in China were adopted,a newly defined characteristic parameter C_(ERP)was proposed as an indicator for evaluating the structural properties of rock masses,and a fuzzy relation matrix was established using the information distribution method.The results indicate that both the vertical stress and horizontal stress exhibit a good linear growth relationship with depth.There is no remarkable correlation between the elastic modulus,Poisson's ratio and depth,and the distribution of data points is scattered and messy.Moreover,there is no obvious relationship between the rock quality designation(RQD)and depth.The maximum horizontal stress σ_(H) is a function of rock properties,showing a certain linear relationship with the C_(ERP)at the same depth.In addition,the overall change trend of σ_(H) determined by the established fuzzy identification method is to increase with the increase of C_(ERP).The fuzzy identification method also demonstrates a relatively detailed local relationship betweenσ_H and C_(ERP),and the predicted curve rises in a fluctuating way,which is in accord well with the measured stress data. 展开更多
关键词 overcoring stress measurements elastic modulus Poisson's ratio rock quality designation maximum horizontal stress fuzzy identification
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Research on Types of Regional Eco-protection Space and Its Protection Countermeasures——A Case Study of Chongzuo City of Guangxi Province in China
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作者 周兴 陈务开 《Journal of Landscape Research》 2012年第2期41-44,共4页
Reasonable division of eco-protection space is a vital measure to coordinate the relationship between regional economic development and ecological protection,and to realize regional sustainable development.The paper h... Reasonable division of eco-protection space is a vital measure to coordinate the relationship between regional economic development and ecological protection,and to realize regional sustainable development.The paper has concluded the concept of regional eco-protection space which has been divided into ecological space of forbidding development and restricted development.It has discussed methods to divide regional eco-protection space and proposed protection countermeasures for regional eco-protection space.GIS has been adopted to divide eco-protection space of Chongzuo City.The eco-protection space of Chongzuo City covers an overall area of 5,833.94 km2,taking up 34.04% of the total area of Chongzuo City;ecological space of forbidding development covers an area of 1,555.35 km2,taking up 8.97%;the ecological space of restricted development covers an area of 4,344.59 km2,taking up 25.07%.Finally,the protection countermeasures for regional eco-protection space have been proposed. 展开更多
关键词 Regional eco-protection space Type PROTECTION COUNTERmeasureS
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Protective Measures for Space Environment of Time-honored Brands——With Xi'an City as a Study Case
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作者 谷秋琳 《Journal of Landscape Research》 2010年第7期15-17,22,共4页
Based on the field survey and analysis of representative traditional time-honored shops in Xi'an City,specific measures for protecting their space environment were put forward,and the sustainable preservation and ... Based on the field survey and analysis of representative traditional time-honored shops in Xi'an City,specific measures for protecting their space environment were put forward,and the sustainable preservation and development pattern of such intangible cultural heritages in the future urban development was established. 展开更多
关键词 Time-honored brands INTANGIBLE CULTURAL heritages space environment Protective measures
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3D MERGE与3D SPACE STIR序列在腰椎间盘突出症检查中的应用比较 被引量:1
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作者 李兰 殷小丹 +2 位作者 李旭雪 吴海燕 张滔 《中国医学物理学杂志》 CSCD 2024年第1期27-31,共5页
目的:对比三维多回波恢复梯度回波(3D MERGE)、三维可变反转角快速自旋回波(3D SPACE STIR)序列在腰椎间盘突出症(LDH)检查中的应用效果。方法:选择2020年1月~2022年11月收治的135例LDH患者,回顾性分析患者临床和磁共振成像(MRI)资料,... 目的:对比三维多回波恢复梯度回波(3D MERGE)、三维可变反转角快速自旋回波(3D SPACE STIR)序列在腰椎间盘突出症(LDH)检查中的应用效果。方法:选择2020年1月~2022年11月收治的135例LDH患者,回顾性分析患者临床和磁共振成像(MRI)资料,所有患者均接受常规MRI扫描及3D MERGE、3D SPACE STIR序列扫描,对比3D MERGE、3D SPACE STIR序列测量神经根直径的一致性,评价两种序列的图像质量参数[信噪比(SNR)、对比噪声比(CNR)]、图像清晰度评分。结果:3D MERGE和3D SPACE STIR序列测量的L3~S1神经根直径比较差异无统计学意义(P>0.05),且两组序列测量的L3、L4、L5和S1直径均显示出较高相关性(r=0.957,0.986,0.975,0.972,P<0.05);3D MERGE序列的SNR及CNR均高于3D SPACE STIR序列,神经根显示分级、图像清晰度评分优于3D SPACE STIR序列,差异有统计学意义(P<0.05)。结论:3D MERGE、3D SPACE STIR序列在LDH神经根直径测量中具有极高一致性,3D MERGE序列较3D SPACE STIR序列能够更清晰显示神经跟的解剖形态,图像质量更好。 展开更多
关键词 腰椎间盘突出症 3D MERGE 3D space STIR 神经根直径 图像质量
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我国研究生学术素养研究热点分析(2013—2023年)——基于Cite Space的可视化分析研究
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作者 高艳丽 段雨林 《西部学刊》 2024年第21期116-121,共6页
从中国知网数据库检索2013—2023年底国内发表的研究生学术素养研究相关文献,共筛选出259篇相关文献。将文献纳入Cite Space中,分别对作者、机构、关键词等进行可视化分析,并通过Excel绘制年发文量折线图,发现年发文量总体呈现下降趋势... 从中国知网数据库检索2013—2023年底国内发表的研究生学术素养研究相关文献,共筛选出259篇相关文献。将文献纳入Cite Space中,分别对作者、机构、关键词等进行可视化分析,并通过Excel绘制年发文量折线图,发现年发文量总体呈现下降趋势。发文作者为教育学领域的居多,发文机构大部分来自于各学校研究所等。高频关键词有研究生、学术道德、学术不端、学术规范、学术素养,并形成了“研究生”“学术道德”“学术不端”“治理”“学术规范”“学术素养”“博士生”“道德理论”“中心和导向”9个聚类。研究者近年来对学术素养相关研究整体呈现下降状态;研究机构以及研究人员结构单一,国家机构对学术素养相关研究较少;但关于“研究生”“学术道德”“学术不端”以及“学术理论”的研究仍有较高热度。 展开更多
关键词 学术素养 研究生 Cite space 可视化分析 研究热点
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国内“大思政课”研究的现状、热点与展望--基于CiteSpace的核心期刊论文可视化分析
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作者 顾晓英 周孙卿 《思想政治课研究》 2024年第3期101-114,共14页
“大思政课”是近年的一个新议题。自习近平总书记作出关于“大思政课”的重要论述以来,“大思政课”建设在全国积极推进,成为新时代用党的创新理论铸魂育人的重要抓手。学界对这一领域的研究成果持续涌现。借助Cite Space文献计量软件... “大思政课”是近年的一个新议题。自习近平总书记作出关于“大思政课”的重要论述以来,“大思政课”建设在全国积极推进,成为新时代用党的创新理论铸魂育人的重要抓手。学界对这一领域的研究成果持续涌现。借助Cite Space文献计量软件对中国知网CNKI数据库中2021-2023年间350篇核心期刊论文的发文量、作者、机构、关键词进行可视化分析,近三年学界的研究热点聚焦“大思政课”的本体论、认识论、价值论、方法论以及一体化等方面。未来,学界还应以多学科交叉和多主体融合实现“大思政课”研究的系统化,以理论和实践结合提升“大思政课”研究的科学化,以破解技术遮蔽与AI赋能强化“大思政课”研究的数字化,以研究反哺教学,不断增强“大思政课”立德树人实效。 展开更多
关键词 大思政课 Cite space 思政课教学
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CARLESON MEASURES FOR BESOV-SOBOLEV SPACES WITH APPLICATIONS IN THE UNIT BALL OF C^n 被引量:3
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作者 彭茹 欧阳才衡 《Acta Mathematica Scientia》 SCIE CSCD 2013年第5期1219-1230,共12页
This paper is devoted to give the connections between Carleson measures for Besov-Sobolev spaces Bp^σ(B) and p-Carleson measure in the unit ball of C^n. As applications, we characterize the Riemann-Stieltjes operat... This paper is devoted to give the connections between Carleson measures for Besov-Sobolev spaces Bp^σ(B) and p-Carleson measure in the unit ball of C^n. As applications, we characterize the Riemann-Stieltjes operators and multipliers acting on Bp(B) spaces by means of Carleson measures for Bp^σ(B). 展开更多
关键词 Carleson measures Besov-Sobolev spaces Riemann-Stieltjes operators MULTIPLIERS
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CARLESON MEASURES,RIEMANN-STIELTJES OPERATORS AND MULTIPLIERS ON F(p,q,s)SPACES IN THE UNIT BALL OF C^n 被引量:3
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作者 彭茹 吴悠 邓方文 《Acta Mathematica Scientia》 SCIE CSCD 2016年第3期635-654,共20页
This paper is devoted to characterizing the Riemann-Stieltjes operators and pointwise multipliers on F(p, q, s) spaces in the unit ball of C^n which contain many classical function spaces, such as the Bloch space, B... This paper is devoted to characterizing the Riemann-Stieltjes operators and pointwise multipliers on F(p, q, s) spaces in the unit ball of C^n which contain many classical function spaces, such as the Bloch space, BMOA and Q8 spaces. The boundedness and compactness of these operators on F(p, q, s) spaces are characterized by means of an embedding theorem, i.e., F(p,q, s) spaces boundedly embedded into the tent-type spaces Tp,s^∞(μ) 展开更多
关键词 Carleson measures F(p q s) spaces tent-type spaces Riemann-Stieltjes operators MULTIPLIERS
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Color Measurement of Segmented Printed Fabric Patterns in Lab Color Space from RGB Digital Images 被引量:7
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作者 Charles Kumah Ning Zhang +1 位作者 Rafiu King Raji Ruru Pan 《Journal of Textile Science and Technology》 2019年第1期1-18,共18页
Colors of textile materials are the first parameter of quality evaluated by consumers and a key component considered in selecting printed fabric. In the textiles industry, digital printed fabric analysis is one of the... Colors of textile materials are the first parameter of quality evaluated by consumers and a key component considered in selecting printed fabric. In the textiles industry, digital printed fabric analysis is one of the basic elements in successfully utilizing a color mechanism scheme and objectively evaluating fabric color alterations. Precise color measurement, however, is mostly used in sample analysis and quality inspection which help to produce reproducible or similar product. It is important that for quality inspection, the color of the product should be measured as a necessary requirement of quality control whether the product is to be accepted or not. Presented in this study is an unsupervised segmentation of printed fabrics patterns using mean shift algorithm and color measurements over the segmented regions of printed fabric patterns. The results established a consistent and reliable color measurement of multiple color patterns and appearance with the established range without any interactions. 展开更多
关键词 COLOR measurement LAB COLOR space RGB COLOR space Region of INTEREST (ROI) Quality Control
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The Loeb Space of Denumerable Infinite Dimensional Probability Product Measure Spaces 被引量:2
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作者 陈东立 《Northeastern Mathematical Journal》 CSCD 2003年第3期249-253,共5页
Let {(Xi, Si, μi) : i ℃ N} be a sequence of probability measure spaces and (*Xi, L(*Si), L(*μi)) be the Loeb measure space with respect to (Xi, Si, μi) for i ℃ N. Let X =× Xi, S = ×Si,μ = ×μi. We... Let {(Xi, Si, μi) : i ℃ N} be a sequence of probability measure spaces and (*Xi, L(*Si), L(*μi)) be the Loeb measure space with respect to (Xi, Si, μi) for i ℃ N. Let X =× Xi, S = ×Si,μ = ×μi. We prove that × L(*Si) CL(*S) and in embedding meaning. 展开更多
关键词 denumerable infinite dimensional product measure space Loeb measure space internal set external set
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CARLESON MEASURES AND THE GENERALIZED CAMPANATO SPACES OF VECTOR-VALUED MARTINGALES 被引量:2
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作者 Lin YU Ruhui WANG Shoujiang ZHAO 《Acta Mathematica Scientia》 SCIE CSCD 2018年第6期1779-1788,共10页
In this paper, the so-called(p,Ф)-Carleson measure is introduced and the rela-tionship between vector-valued martingales in the general Campanato spaces Lp,Ф(X) and the (p, Ф)-Carleson measures is investigate... In this paper, the so-called(p,Ф)-Carleson measure is introduced and the rela-tionship between vector-valued martingales in the general Campanato spaces Lp,Ф(X) and the (p, Ф)-Carleson measures is investigated. Specifically, it is proved that for q ∈ [2, ∞), the measure d# :-=││ dfk││^qdP dm is a (q, Ф)-Carleson measure on Ω × N for every f ∈ Lq,Ф(X) if and only if X has an equivalent norm which is q-uniformly convex; while for p C (1, 2], the measure dμ :=││dfk││^pP dm is a (p, Ф)-Carleson measure on Ω ×N implies that f ∈ Lp,Ф(X) if and only if X admits an equivalent norm which is p-uniformly smooth. This result extends an earlier result in the literature from BMO spaces to general Campanato spaces. 展开更多
关键词 Carleson measures BMO martingales generalized Campanato spaces uni-formly convex (smooth) Banach spaces
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TIME-SPACE CONCEPT FOR PRECISION MEASUREMENT 被引量:4
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作者 LIU Xiaokang PENG Donglin ZHU Ge WANG Xianquan 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2008年第3期112-115,共4页
The transformation between time and space is discussed. To improve real-time response speed of intelligent measuring system, the concept of exchanging program execution time with more circuitry is presented working in... The transformation between time and space is discussed. To improve real-time response speed of intelligent measuring system, the concept of exchanging program execution time with more circuitry is presented working in cycle mode. Displacement measuring by magnification is achieved with period measurement by magnification. To change the condition that traditional precision measurement depends on machining precision greatly, the concept of measuring space with time and theory of time-space coordinate transformation are proposed. Guided by the idea of measuring space with time, differential frequency measurement system and time grating displacement sensor are developed based on the proposed novel methods. And high-precision measurement is achieved without high-precision manufacture, which embeds the remarkable characteristics of low cost but high precision to the devices. Experiment and test results conform the validity of the proposed time-space concept. 展开更多
关键词 Time-space Precision measurement Control flow Differential frequency Time grating
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BOUNDEDNESS OF FRACTIONAL INTEGRALS IN HARDY SPACES WITH NON-DOUBLING MEASURE—In Memory of Professor Sun Yongsheng 被引量:2
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作者 Wengu Chen Yixin Lai 《Analysis in Theory and Applications》 2006年第2期195-200,共6页
Let μ be a Borel measure on R^d which may be non doubling. The only condition that μ must satisfy is μ(Q) ≤ col(Q)^n for any cube Q belong to R^d with sides parallel to the coordinate axes and for some fixed ... Let μ be a Borel measure on R^d which may be non doubling. The only condition that μ must satisfy is μ(Q) ≤ col(Q)^n for any cube Q belong to R^d with sides parallel to the coordinate axes and for some fixed n with 0 〈 n ≤ d. The purpose of this paper is to obtain a boundedness property of fractional integrals in Hardy spaces H^1(μ). 展开更多
关键词 fractional integral Hardy space non-doubling measure
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Risk measures with comonotonic subadditivity or convexity on product spaces 被引量:1
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作者 WEI Lin-xiao MA Yue HU Yi-jun 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2015年第4期407-417,共11页
In this paper, by an axiomatic approach, we propose the concepts of comonotonic subadditivity and comonotonic convex risk measures for portfolios, which are extensions of the ones introduced by Song and Yan (2006). ... In this paper, by an axiomatic approach, we propose the concepts of comonotonic subadditivity and comonotonic convex risk measures for portfolios, which are extensions of the ones introduced by Song and Yan (2006). Representation results for these new introduced risk measures for portfolios are given in terms of Choquet integrals. Links of these newly introduced risk measures to multi-period comonotonic risk measures are represented. Finally, applications of the newly introduced comonotonic coherent risk measures to capital allocations are provided. 展开更多
关键词 Choquet integral comonotonic subadditivity risk measure comonotonic convex risk measure multi-period risk measure capital allocation product space.
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RELATIONS BETWEEN PACKING PREMEASURE AND MEASURE ON METRIC SPACE 被引量:4
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作者 文胜友 吴敏 《Acta Mathematica Scientia》 SCIE CSCD 2007年第1期137-144,共8页
Let X be a metric space and u a finite Borel measure on X. Let P^- u^q,t and P u^q,t be the packing premeasure and the packing measure on X, respectively, defined by the gauge (uB(x, r))^q(2r)^t, where q, t ∈... Let X be a metric space and u a finite Borel measure on X. Let P^- u^q,t and P u^q,t be the packing premeasure and the packing measure on X, respectively, defined by the gauge (uB(x, r))^q(2r)^t, where q, t ∈ R. For any compact set E of finite packing premeasure the authors prove: (1) if q ≤ 0 then P^- u^q,t(E) =P u^q,t (E); (2) if q 〉 0 and u is doubling on E then P^- u^q,t (E) and P u^q,t (E) are both zero or neither. 展开更多
关键词 Doubling condition packing premeasure packing measure
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基于Cite Space对螺旋藻藻蓝蛋白的研究进展与热点分析 被引量:1
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作者 王丽梅 西妮 +2 位作者 穆文静 苏小军 张永明 《食品与发酵工业》 CAS CSCD 北大核心 2024年第16期313-323,共11页
螺旋藻(Spirulina)藻蓝蛋白具有独特的理化特性及生理功能,是药物、食品和化妆品的天然原料,具有较大的开发潜力。为探讨螺旋藻藻蓝蛋白的研究现状与发展前景,对中国知网和Web of Science数据库中1990—2023年发表的文献进行检索并筛选... 螺旋藻(Spirulina)藻蓝蛋白具有独特的理化特性及生理功能,是药物、食品和化妆品的天然原料,具有较大的开发潜力。为探讨螺旋藻藻蓝蛋白的研究现状与发展前景,对中国知网和Web of Science数据库中1990—2023年发表的文献进行检索并筛选,使用Cite Space软件对文章发文量、研究团队及研究热点进行图谱分析。综合分析可知,国内年发文量偏少,呈平稳趋势;国外年发文量持续上升,尤其近几年发文量迅速增长,且发文量超过了100篇;国外研究热点集中于藻蓝蛋白在食品、医药行业的应用方面,而国内研究热点集中在提取纯化、稳定性、功能活性的研究与应用,下一步应结合研究现状开发适合规模化生产的提取纯化工艺,进一步加强藻蓝蛋白研究的广度与深度;国内外研究群体主要是高校的相关生物技术学院或研究机构等,总体来讲,学者间存在较为密切的合作,但研究机构间尚未形成紧密的合作关系,在地域上比较分散,各大高校和研究机构应突破地区或机构间的各种限制,促进该研究领域的深度融合和快速发展,深入挖掘藻蓝蛋白在各个领域的潜在应用。 展开更多
关键词 螺旋藻 藻蓝蛋白 Cite space软件 文献计量学 热点分析
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基于CiteSpace的国内地理标志研究进展与启示 被引量:1
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作者 刘群 林岚 +1 位作者 郑颖玲 文永珍 《安徽农业科学》 CAS 2024年第9期226-234,240,共10页
地理标志是实现乡村振兴的特色资源基础,认识地理标志的研究进展尤为重要。通过中文核心期刊筛选关键词,共获得1994—2022年地理标志研究论文921篇。借助CiteSpace文献计量分析发文阶段、作者机构、研究热点、主题演变脉络等信息提炼研... 地理标志是实现乡村振兴的特色资源基础,认识地理标志的研究进展尤为重要。通过中文核心期刊筛选关键词,共获得1994—2022年地理标志研究论文921篇。借助CiteSpace文献计量分析发文阶段、作者机构、研究热点、主题演变脉络等信息提炼研究进展与启示。结果发现,从文献统计分析看,地理标志研究在2004—2011年发展最为迅速,但从事地理标志研究的作者合作规模小,咸宁学院是高频发文单位,《安徽农业科学》与《知识产权》期刊载文最多。研究热点涵盖地理标志、农产品、知识产权、商标法、世贸组织、保护和乡村振兴7大主题,集中形成于2000—2004年,主题分支丰富但发展周期短,演变脉络特征各异。结合聚类主题与关键词进一步探究发现,地理标志产品内涵、地理标志商标保护、地理标志与乡村振兴3个主题成为地理标志研究领域的前沿热点。综上,地理标志研究是关乎农业经济发展与乡村产业振兴的重要内容,需要基于“地方”视角审视地理标志产品的保护与发展,融合地理学等多学科领域力量促进地理标志可持续发展。 展开更多
关键词 地理标志 保护 乡村振兴 文献计量 CITEspace
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Fast Measurement of Dielectric Conductivity for Space Application by Surface Potential Decay Method 被引量:1
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作者 全荣辉 周凯 +2 位作者 方美华 池卫英 张振龙 《Chinese Physics Letters》 SCIE CAS CSCD 2017年第6期104-106,共3页
Surface potential decay of polymers for electrical insulation can help to determine the dark conductivity for spacecraft charging analysis. Due to the existence of radiation-induced conductivity, it decays fast in the... Surface potential decay of polymers for electrical insulation can help to determine the dark conductivity for spacecraft charging analysis. Due to the existence of radiation-induced conductivity, it decays fast in the first few hours after irradiation and exponentially slowly for the remaining time. The measurement of dark conductivity with this method usually takes the slow part and needs a couple of days. Integrating the Fowler formula into the deep dielectric charging equations, we obtain a new expression for the fast decay part. The experimental data of different materials, dose rates and temperatures are fitted by the new expression. Both the dark conductivity and the radiation-induced conductivity are derived and compared with other methods. The result shows a good estimation of dark conductivity and radiation-induced conductivity in high-resistivity polymers, which enables a fast measurement of dielectric conductivity within about 600 rain after irradiation. 展开更多
关键词 Fast measurement of Dielectric Conductivity for space Application by Surface Potential Decay Method
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基于CiteSpace的红色文创设计可视化分析与方法研究 被引量:1
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作者 刘洪波 卢敏学 《包装工程》 CAS 北大核心 2024年第18期330-340,共11页
目的基于CiteSpace概述国内红色文创设计的发展状况,梳理关于红色文创设计的相关方法与理论模型,探讨未来红色文创设计发展的趋势,为研究者提供相关设计思路与发展动向。方法通过对国内相关文献的研究,梳理了红色文创设计的概念与发展现... 目的基于CiteSpace概述国内红色文创设计的发展状况,梳理关于红色文创设计的相关方法与理论模型,探讨未来红色文创设计发展的趋势,为研究者提供相关设计思路与发展动向。方法通过对国内相关文献的研究,梳理了红色文创设计的概念与发展现状,归纳了当前红色文创设计中包括文化转译维度、文化层次理论、叙事性设计的三种主要方法与理论模型。结论目前红色文创设计方法较为单一,很难满足用户的不同需求,且缺乏具体针对性的完整理论体系与设计方法。在今后的红色文创设计中,可以综合运用叙事性及文化转译维度等设计理论和手段,对红色文创设计和方法加以探究和创新,打造具有中国特色的红色文创产品,使红色文化得到更好的普及和弘扬。 展开更多
关键词 CITEspace 红色文创 设计方法 可视化 发展趋势
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A VIEWPOINT TO MEASURE OF NON-COMPACTNESS OF OPERATORS IN BANACH SPACES 被引量:1
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作者 Qinrui SHEN 《Acta Mathematica Scientia》 SCIE CSCD 2020年第3期603-613,共11页
This article is committed to deal with measure of non-compactness of operators in Banach spaces.Firstly,the collection C(X)(consisting of all nonempty closed bounded convex sets of a Banach space X endowed with the ua... This article is committed to deal with measure of non-compactness of operators in Banach spaces.Firstly,the collection C(X)(consisting of all nonempty closed bounded convex sets of a Banach space X endowed with the uaual set addition and scaler multiplication)is a normed semigroup,and the mapping J from C(X)onto F(Ω)is a fully order-preserving positively linear surjective isometry,whereΩis the closed unit ball of X^*and F(Ω)the collection of all continuous and w^*-lower semicontinuous sublinear functions on X^*but restricted toΩ.Furthermore,both EC=JC-JC and EK=JK-JK are Banach lattices and EK is a lattice ideal of EC.The quotient space EC/EK is an abstract M space,hence,order isometric to a sublattice of C(K)for some compact Haudorspace K,and(FQJ)C which is a closed cone is contained in the positive cone of C(K),where Q:EC→EC/EK is the quotient mapping and F:EC/EK→C(K)is a corresponding order isometry.Finally,the representation of the measure of non-compactness of operators is given:Let BX be the closed unit ball of a Banach space X,thenμ(T)=μ(T(BX))=||(F QJ)T(BX)||C(K),∀T∈B(X). 展开更多
关键词 measure of non-compactness measure of non-compactness of operators Banach lattice Banach space
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