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测度积分中的某些问题 被引量:3
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作者 刘晓鹏 黎锁平 《甘肃科学学报》 2004年第1期19-22,共4页
 对Riemann积分和Lebesgue积分进行比较,对它们之间的联系做了比较详细的阐述,得出了一些有意义的结果.有关结论都给出了严密而明确的证明.
关键词 RIEMANN积分 LEBESGUE积分 可求积区域 测度积分 测试论 函数论
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集值测度积分的收敛性 被引量:1
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作者 张玲 徐明跃 《哈尔滨师范大学自然科学学报》 CAS 2006年第5期7-9,共3页
给出集值测度的一些基本性质和集值测度积分的定义,进而确定集值测度积分的收敛性.
关键词 集值测度 集值测度选择 集值测度积分 有界变差集值测度
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用Lebesgue测度积分理论分析项目外部社会效益的新思路
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作者 蓝敏 《科技进步与对策》 CSSCI 北大核心 2010年第19期85-88,共4页
根据Lebesgue测度积分理论与方法,将项目视作由项目的外部社会效益组成的集合,通过构造可测度的项目外部社会效益集合分析项目的外部社会效益;或者在定义的可测度的项目集合上寻找可积函数,使可积函数在项目集合的测度上的积分成为项目... 根据Lebesgue测度积分理论与方法,将项目视作由项目的外部社会效益组成的集合,通过构造可测度的项目外部社会效益集合分析项目的外部社会效益;或者在定义的可测度的项目集合上寻找可积函数,使可积函数在项目集合的测度上的积分成为项目的外部社会效益或者能够反映项目外部社会效益的指标,从而为项目的外部社会效益分析寻求新的思路。 展开更多
关键词 LEBESGUE 测度积分 项目 社会效益 辐射效应
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基于MACBETH方法和2-测度Choquet积分企业综合绩效评估决策 被引量:1
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作者 高喆 苗瑞 《工业工程》 2015年第1期128-134,共7页
针对综合绩效评估问题提出构建多维绩效评估系统,应用VFT方法分解目标,建立MACBETH绩效评估模型对细分准则量化绩效,结合2-测度Choquet积分确定不同评估准则权重和相互影响因子,聚集得到综合绩效。实例分析验证模型的有效性和实用性。
关键词 绩效评估 MACBETH方法 2-测度Choquet积分 多准则决策
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广义n维流形上的测度微积分(Ⅱ)
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作者 彭厚富 胡能发 《湖北大学学报(自然科学版)》 CAS 2000年第4期314-316,共3页
进一步定义了 (广义n维 )有边流形及光滑或分片光滑有边流形与边界协调定向的概念 ,从而由n维奥—高公式推导出一般斯托克斯公式 .并且证明了分片光滑有边流形的协调性原理 ,从而给出一般斯托克斯定理的实用情形 .由此 ,整个“测度微积... 进一步定义了 (广义n维 )有边流形及光滑或分片光滑有边流形与边界协调定向的概念 ,从而由n维奥—高公式推导出一般斯托克斯公式 .并且证明了分片光滑有边流形的协调性原理 ,从而给出一般斯托克斯定理的实用情形 .由此 ,整个“测度微积分”理论可统一为一个定义、一套性质。 展开更多
关键词 有边流形 分片光滑 协调定向 协调性原理 广义N维流形 测度积分 一般斯托克斯定理
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对应于光滑测度的可加泛函的位势测度
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作者 昌志华 《华南理工大学学报(自然科学版)》 EI CAS CSCD 北大核心 1997年第2期97-100,共4页
设μ是拟正则狄氏型的光滑测度,Aμ是其对应的非负连续可加泛函,UαAμ是Aμ的α位势算子,本文证明了测度μUαAμ关于μ的绝对连续性,并以R-N导数dμUαAμdμ刻划了μ具有有限能量积分的条件。
关键词 拟正则狄氏型 光滑测度 连续可加泛函 具有有限能量积分测度
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21世纪微积分教育改革的一种趋向 被引量:1
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作者 彭厚富 陈振龙 宋述刚 《数学教育学报》 1998年第4期89-92,共4页
论述了面向21世纪微积分教育改革应注重理论体系的改革,简述了本世纪微积分理论改革三大动向,介绍了“测度微积分”新体系.
关键词 教育改革 微元法 测度积分 积分
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基于峰值误差约束的传感器线性化方法研究 被引量:4
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作者 胡学海 王厚军 古天祥 《仪器仪表学报》 EI CAS CSCD 北大核心 2007年第2期342-346,共5页
基于加权最小二乘算法和模糊数学的基本性质,本文提出一种新算法用于智能传感器的非线性补偿。算法既考虑了峰值误差也考虑了积分测度误差,可在峰值误差和积分测度误差间进行折衷,分析及实验结果表明在付出较小积分测度误差的代价上,可... 基于加权最小二乘算法和模糊数学的基本性质,本文提出一种新算法用于智能传感器的非线性补偿。算法既考虑了峰值误差也考虑了积分测度误差,可在峰值误差和积分测度误差间进行折衷,分析及实验结果表明在付出较小积分测度误差的代价上,可大幅减小峰值误差,从而在总体上提高传感器线性化后的性能。 展开更多
关键词 峰值误差 积分测度误差 模糊加权最小二乘法
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基于企业综合绩效多维度评估决策分析 被引量:3
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作者 吴易洲 苗瑞 +3 位作者 高喆 顾希垚 吴琪 张洁 《上海交通大学学报》 EI CAS CSCD 北大核心 2016年第5期742-749,共8页
针对企业绩效评估在全面性方面存在的局限,提出构建N维评估系统,多角度评估影响企业绩效的关键因素,并在分析的过程中从价值、风险、成本和效益4个维度展开研究.在MACBETH绩效评估模型的基础上加入2测度Choquet积分,考虑了评估准则间的... 针对企业绩效评估在全面性方面存在的局限,提出构建N维评估系统,多角度评估影响企业绩效的关键因素,并在分析的过程中从价值、风险、成本和效益4个维度展开研究.在MACBETH绩效评估模型的基础上加入2测度Choquet积分,考虑了评估准则间的相互影响,同时降低了计算的复杂度.根据评估准则的权重和影响因子聚集得到综合绩效,增强绩效评估的全面性,帮助企业执行有效决策. 展开更多
关键词 绩效评估 MACBETH方法 2测度Choquet积分 多准则决策
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Computation and measurement for distributions of temperature and soot volume fraction in diffusion flames 被引量:1
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作者 张引弟 娄春 +2 位作者 谢明亮 方庆艳 周怀春 《Journal of Central South University》 SCIE EI CAS 2011年第4期1263-1271,共9页
A combined computational and experimental investigation to examine temperature and soot volume fraction in coflow ethylene-air diffusion flames was presented.A numerical simulation was conducted by using a relatively ... A combined computational and experimental investigation to examine temperature and soot volume fraction in coflow ethylene-air diffusion flames was presented.A numerical simulation was conducted by using a relatively detailed gas-phase chemistry and complex thermal and transport properties coupled with a semi-empirical two-equation soot model.Thermal radiation was calculated using the discrete ordinates method.An image processing technique and a decoupled reconstruction method were used to simultaneously measure the distributions of temperature and soot volume fraction.The results show that the maximum error for temperature does not exceed 10% between the prediction and the measurement.And the maximum error is 6.9% for soot volume fraction between prediction and measurement.Additional simulations were performed to explore the effects of global equivalence ratio on diffusion flames and the soot formation.The results display that the soot formation increases with decreasing the coflow air velocity.And the soot formation in each case appears in the annular region,where the temperature ranges from about 1 000 K to 2 000 K and the profile becomes taller and wider when the coflow air is decreased. 展开更多
关键词 TEMPERATURE soot volume fraction SIMULATION MEASUREMENT diffusion flame
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Study of Sandy Soil Compaction
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作者 Andrea Formato Gian Pio Pucillo Antonio Abagnale 《Journal of Agricultural Science and Technology(A)》 2013年第5期356-367,共12页
In this paper, a study of sandy soil compaction with different granulometry and moisture content has been performed, and soil mechanical property variations in moisture and granulometry have been investigated. Investi... In this paper, a study of sandy soil compaction with different granulometry and moisture content has been performed, and soil mechanical property variations in moisture and granulometry have been investigated. Investigations were performed to compare hydrostatic compression test (HCT) responses and evaluate the compression index, Cc, which is an indicator of the soil's susceptibility to compaction-induced damage. The experiments have been performed on 24 soil samples typologies. Each sample has been obtained by combining three types of soil granulometry (types A, B and C) with a relative content varying from 0% to 100% in 20% increments. Soil type A had a granulometry ranging between 0.5 mm and 1 mm, type B between 0.25 mm and 0.5 mm, and type C less than 0.25 mm. These samples were representative of a sandy soil, chemically inactive and had various granulometries and initial moisture contents. A cell for HCT has been set up to allow the initial volume measurement of the test pieces and the subsequent changes during HCT with an estimated error less than 0.1 cm3. All samples were pre-compacted and prepared in agreement with the actual standards. The experimental data are reported in diagrams, the data allowed comparison of the mechanical behaviors between the considered unsaturated soils and underlined how soil moisture and granulometry affect soil response during HCT. Furthermore, because of the methodology used, the equipment was very economical. 展开更多
关键词 Compression test cell hydrostatic soil compression soil mechanics unsaturated soils sandy soil compaction.
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Hydrodynamic processes and depositional styles of glacierassociated deposits in the Moxi basin, Southwest China 被引量:1
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作者 TIE Yong-bo FENG Xing-lei +1 位作者 RAN Jing XU Wei 《Journal of Mountain Science》 SCIE CSCD 2016年第3期557-568,共12页
This study aims to understand the particle size distribution and depositional styles of glacierassociated deposits in the Moxi basin in southwest China. Based on field surveys, 28 samples from glacier-associated depos... This study aims to understand the particle size distribution and depositional styles of glacierassociated deposits in the Moxi basin in southwest China. Based on field surveys, 28 samples from glacier-associated deposits(including glacial till,fluvioglacial, debris flow, river and lake deposits)were collected and tested in the laboratory. The results showed that the glacier-associated deposits can be differentiated based on particle gradation,particle size distribution and accumulated percentages. We evaluated the evolution of a former dammed lake in the Moxi basin based on glacierassociated deposits. The results of this study also indicated that the Moxi Platform was not formed by a single depositional process but is composed of both fluvioglacial and debris flow deposits. This research shows that the depositional style analysis is useful in identifying different glacier-associated deposits in high mountain regions. Moreover, the evaluation of the differences in particle sizes of the glacierassociated deposits is useful in reconstructing geohazard events in periglacial regions, and this information can help in identifying and reducing the potential risks associated with geo-hazards. 展开更多
关键词 Glacial fluvial deposits Dynamic difference Geohazard High mountain region Moxi basin
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Development of a Lightning Warning System
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作者 Gyung-Suk Kil Dae-Won Park +1 位作者 Kwang-Seok Jung Chang-Hwan Ahn 《Journal of Energy and Power Engineering》 2012年第2期287-292,共6页
A lightning warning system (LWS) which can predict the possibility of lightning strike and the position of lightning discharge was developed. The LWS uses the electric field intensity at the ground as a parameter to... A lightning warning system (LWS) which can predict the possibility of lightning strike and the position of lightning discharge was developed. The LWS uses the electric field intensity at the ground as a parameter to warn the possibility of lightning strikes. A planar shutter type electric field mill (EFM) with a rotating vane is studied to measure the electric field. From a calibration experiment, the sensitivity of the EFM was adjusted to 0.15 V/kV/m, and this covers the ranges from 200 V/m to 20 kV/m. Magnetic field waveform is detected by a crossed loop coil and an integral amplifier. Frequency bandwidth of the circuit ranges from 5 kHz to 1.2 MHz. The polarity of lightning discharges is discriminated by electric field component. After fixing the polarity, we can calculate the direction and distance of lightning discharge by the peak and the zero cross time of the detected magnetic field waveform. 展开更多
关键词 Lightning warning system (LWS) electric field mill (EFM) thundercloud lightning discharge electromagnetic field loop coil.
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Sugeno型模糊复集值积分在分类器融合中的应用探析
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作者 马生全 彭德军 +1 位作者 赵志青 沈君 《模糊系统与数学》 北大核心 2018年第6期80-88,共9页
提出Sugeno型模糊复集值积分概念,概括其基本性质,以Sugeno型模糊复集值积分为工具,重点研究在分类器融合中应用的细节问题,并以2个具体实例给出操作实施步骤进行。结果显示:这种Sugeno型模糊复集值积分融合算法具有明显的优越性,采用... 提出Sugeno型模糊复集值积分概念,概括其基本性质,以Sugeno型模糊复集值积分为工具,重点研究在分类器融合中应用的细节问题,并以2个具体实例给出操作实施步骤进行。结果显示:这种Sugeno型模糊复集值积分融合算法具有明显的优越性,采用双向隶属评价和模糊推理方法来进行案例最终分类,体现了分类的客观性、全面性,达到分类的较佳效果。 展开更多
关键词 模糊复集值函数 复模糊集值测度Sugeno型模糊复数值积分 分类器融合
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Volterra operator, area integral and Carleson measures 被引量:2
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作者 WU ZhiJian 《Science China Mathematics》 SCIE 2011年第11期2487-2500,共14页
We characterize the boundedness of Volterra operators from Bergman spaces to Hardy spaces. Area integral operators and Carleson measures are heavily involved.
关键词 Bergman and Hardy spaces Volterra operator area integral Carleson measures
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Wind characteristics near the ground during typhoon Meari 被引量:2
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作者 Xu WANG Peng HUANG +2 位作者 Xian-feng YU Xin-rong WANG Hai-ming LIU 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2017年第1期33-48,共16页
Wind speed and direction data during typhoon Meari were obtained from eight anemometers installed at heights of 10, 20, 30, and 40 m on a 40-m tower built in the Pudong area of Shanghai. Wind-turbulence characteristic... Wind speed and direction data during typhoon Meari were obtained from eight anemometers installed at heights of 10, 20, 30, and 40 m on a 40-m tower built in the Pudong area of Shanghai. Wind-turbulence characteristics, including wind-speed profile, turbulence integral scale, power spectra, correlations, and coherences were analyzed. Wind-speed profiles varied with time during the passage of Meari. Measured wind-speed profiles could be expressed well by both a power law and a log law. Turbulence integral scales for u, v, and w components all increased with wind speed. The ratios of the turbulence scales among the turbulence components averaged for all 10-min data were 1:0.69:0.08 at 10 m, 1:0.61:0.09 at 20 m, and 1:0.65:0.13 at 40 m. The turbulence integral scales for the u and v components increased with average gust time, but the turbulence integral scale for the w component remained almost constant when the gust duration was greater than 10 min. The decay factor of the coherence function increased slightly with wind speed, with average values for longitudinal and lateral dimensions of 14.3 and 11.3, respectively. The slope rates of the turbulence spectra in the inertial range were less than -5/3 at first, but gradually satisfied the Kolmogorov 5/3 law. The longitudinal wind-power fluctuation spectrum roughly fitted the von Karman spectrum, but slight deviations occurred in the high-frequency band for lateral and vertical wind-power fluctuation spectra. 展开更多
关键词 Typhoon Meari Field measurement Turbulence integral scale Decay factor Power spectra
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A RANDOM FUNCTIONAL CENTRAL LIMIT THEOREM FOR PROCESSES OF PRODUCT SUMS OF LINEAR PROCESSES GENERATED BY MARTINGALE DIFFERENCES 被引量:2
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作者 WANG YUEBAO YANG YANG ZHOU HAIYANG Department of Mathematics, Suzhou University, Suzhou 215006, Jiangsu, China. Department of Mathematics, Suzhou University, Suzhou 215006, Jiangsu, China. 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2003年第4期449-456,共8页
A random functional central limit theorem is obtained for processes of partial sums andproduct sums of linear processes generated by non-stationary martingale differences. It devel-ops and improves some corresponding ... A random functional central limit theorem is obtained for processes of partial sums andproduct sums of linear processes generated by non-stationary martingale differences. It devel-ops and improves some corresponding results on processes of partial sums of linear processesgenerated by strictly stationary martingale differences, which can be found in [5]. 展开更多
关键词 Ilandom functional central limit theorem Processes of product sums
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