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非可分空间上计数测度的Hun半群结构
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作者 宋少强 何远江 《中山大学学报(自然科学版)》 CAS CSCD 北大核心 2000年第3期116-118,共3页
称局部紧完备度量空间上的Radon测度为强Radon测度 ,若每个有界集的测度都是有限的 .证明了强Radon计数测度卷积半群是一个稳定的Hun半群 .
关键词 Hun半群 强Radon计数测度 非可分空间 有界集
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有关Hausdorff测度的两类覆盖形式 被引量:1
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作者 丁丹 郭晶 盛中平 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2013年第4期1-5,共5页
讨论了测度定义的具体覆盖形式,在普通球覆盖的基础上引入了广义球覆盖.利用两类球覆盖给出了Hausdorff测度定义的两种形式,并证明了在维数大于零时两种定义形式是等价的.指出了可数覆盖具有拒零性,Hausdorffδ-测度当δ为零时不存在,同... 讨论了测度定义的具体覆盖形式,在普通球覆盖的基础上引入了广义球覆盖.利用两类球覆盖给出了Hausdorff测度定义的两种形式,并证明了在维数大于零时两种定义形式是等价的.指出了可数覆盖具有拒零性,Hausdorffδ-测度当δ为零时不存在,同时Lebesgue零维测度也没意义.计数测度在形式上不能统一到Lebesgue测度里,也不能统一到普通球覆盖下的Hausdorff测度里.只有在广义球覆盖下,才能形式上统一到Hausdorff测度中.同时,与普通球覆盖相比,利用广义球覆盖来定义测度,会使许多证明得以简化. 展开更多
关键词 广义球覆盖 HAUSDORFF测度 计数测度 拒零性
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A fast explicit finite difference method for determination of wellhead injection pressure 被引量:2
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作者 白冰 李小春 +2 位作者 刘明泽 石露 李琦 《Journal of Central South University》 SCIE EI CAS 2012年第11期3266-3272,共7页
A fast explicit finite difference method (FEFDM),derived from the differential equations of one-dimensional steady pipe flow,was presented for calculation of wellhead injection pressure.Recalculation with a traditiona... A fast explicit finite difference method (FEFDM),derived from the differential equations of one-dimensional steady pipe flow,was presented for calculation of wellhead injection pressure.Recalculation with a traditional numerical method of the same equations corroborates well the reliability and rate of FEFDM.Moreover,a flow rate estimate method was developed for the project whose injection rate has not been clearly determined.A wellhead pressure regime determined by this method was successfully applied to the trial injection operations in Shihezi formation of Shenhua CCS Project,which is a good practice verification of FEFDM.At last,this method was used to evaluate the effect of friction and acceleration terms on the flow equation on the wellhead pressure.The result shows that for deep wellbore,the friction term can be omitted when flow rate is low and in a wide range of velocity the acceleration term can always be deleted.It is also shown that with flow rate increasing,the friction term can no longer be neglected. 展开更多
关键词 wellhead pressure injection pressure bottom-hole pressure fast explicit finite difference method
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Similarity measure application to fault detection of flight system 被引量:5
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作者 KIM J +4 位作者 H LEE S H 王洪梅 《Journal of Central South University》 SCIE EI CAS 2009年第5期789-793,共5页
Fault detection technique is introduced with similarity measure. The characteristics of conventional similarity measure based on fuzzy number are discussed. With the help of distance measure, similarity measure is con... Fault detection technique is introduced with similarity measure. The characteristics of conventional similarity measure based on fuzzy number are discussed. With the help of distance measure, similarity measure is constructed explicitly. The designed distance-based similarity measure is applicable to general fuzzy membership functions including non-convex fuzzy membership function, whereas fuzzy number-based similarity measure has limitation to calculate the similarity of general fuzzy membership functions. The applicability of the proposed similarity measure to general fuzzy membership structures is proven by identifying the definition. To decide fault detection of flight system, the experimental data (pitching moment coefficients and lift coefficients) are transformed into fuzzy membership functions. Distance-based similarity measure is applied to the obtained fuzzy membership functions, and similarity computation and analysis are obtained with the fault and normal operation coefficients. 展开更多
关键词 similarity measure fuzzy number distance non-convex membership function
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