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度量平均与伪对称集
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作者 周加农 《西南民族学院学报(畜牧兽医版)》 1993年第2期136-138,共3页
给出了度量平均点集为—伪对称集的一类充分必要条件。
关键词 度量平均 伪对称集 度量平均点集
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关于非负常曲率空间中度量平均的几个结果
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作者 杨世国 《兰州大学学报(自然科学版)》 CAS CSCD 北大核心 2005年第6期119-121,共3页
应用度量几何的理论与方法研究了非负常曲率空间中度量平均问题,建立了关于非负常曲率 空间中度量平均的几个几何不等式,作为其特例得到关于欧氏空间和球面空间中度量平均的一些重要 结果.
关键词 度量平均 单形 体积 外接球半径
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球面型空间中单形单参数族按内二面角的度量平均
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作者 郭曙光 林波 《扬州师院学报(自然科学版)》 CSCD 1997年第2期11-17,共7页
引进了球面型空间中单形单参数族按内二面角度量平均的概念;讨论了按内二面角度量平均过程中单形的一些几何不变量的变化关系;给出了单形内二面角的一个不等式.
关键词 球面型空间 度量平均 单形 二面角 几何不等式
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双曲空间中的度量平均和几个不等式
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作者 郑永爱 《扬州师院学报(自然科学版)》 CSCD 1993年第1期15-21,共7页
定义了双曲空间上的度量平均的概念,得到了关于度量平均的几个不等式。
关键词 双曲空间 度量平均 不等式
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双曲型空间中共球点集单参数族的度量平均
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作者 郭曙光 《湖南教育学院学报》 1997年第2期23-26,共4页
本文建立双曲型空间中共球点集单参数族的度量平均,讨论度量平均过程中点集覆盖半径之间的变化关系.并举例说明其应用.
关键词 双曲型空间 共球点集 度量平均 几何不等式
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死端搅拌操作条件下平均膜污染度量指数变化
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作者 刘慧慧 王湛 《江西化工》 CAS 2024年第4期91-96,共6页
在死端搅拌微滤膜装置上,采用0.1μm孔径的PES平板微滤膜对酵母悬浮液进行过滤实验。研究瞬时膜污染度量指数(t)和平均膜污染度量指数■在不同操作条件下(搅拌速率、浓度、温度、压力和污染物)的变化规律。结果表明,搅拌速率200 rmp时(t... 在死端搅拌微滤膜装置上,采用0.1μm孔径的PES平板微滤膜对酵母悬浮液进行过滤实验。研究瞬时膜污染度量指数(t)和平均膜污染度量指数■在不同操作条件下(搅拌速率、浓度、温度、压力和污染物)的变化规律。结果表明,搅拌速率200 rmp时(t)最小,而■随搅拌速率的增加先增大后降低;在浓度、温度以及压力下,(t)均随时间递增,■随浓度递增。另外,■(酵母悬浮液)>■(活性污泥悬浮液)>■(高岭土悬浮液)则说明在实际过滤过程中,选择2 g/L、25℃和0.08 MPa作为固定操作条件,选择尽可能高搅拌速率和低料液浓度的高岭土悬浮液时的膜污染程度最轻。 展开更多
关键词 死端微滤 平均膜污染度量指数 操作条件
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工业过程广义稳态的平均度量 被引量:1
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作者 罗旭光 万百五 《西北大学学报(自然科学版)》 CAS CSCD 北大核心 1998年第3期198-202,共5页
针对工业过程广义稳态集合的度量问题进行了深入研究,证明了非线性系统在满足较宽的条件下,其稳态集合的中心名义值唯一存在。研究表明,该中心名义值作为工业过程广义稳态集合的平均度量是正确和恰当的。
关键词 工业过程 非线性系统 平均度量 混沌 广义稳态
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p-平均对称差度量的Cauchy问题(Ⅰ) 被引量:1
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作者 李法朝 苏连青 仇计清 《河北科技大学学报》 CAS 1999年第4期5-10,共6页
从集合的对称差集合的Lebesgue 测度出发,建立了衡量Fuzzy 数之间差异的p-平均对称差度量dΔp ,讨论了(E,dΔp)中的Cauchy 序列的基本性质。
关键词 FUZZY数 平均对称差度量 Cauchy序列 集合 度量
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p-平均对称差度量的Cauchy问题(Ⅱ)
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作者 苏连青 李法朝 仇计清 《河北科技大学学报》 CAS 2000年第1期1-7,共7页
从集合的对称差集合的 L ebesgue测度出发 ,建立了衡量 Fuzzy数之间差异的p-平均对称差度量 dΔp,证明了 dΔp在空间 E1(K) ={ A~ |A~ ∈ E1,A0 K,K∈ I(R) }上是完备的拟度量 ,并举例说明 (E1,dΔ p)不是完备的拟度量空间。
关键词 FUZZY数 平均对称差度量 Cauchy序列 度量空间
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p-平均对称度量关于代数运算的收敛问题
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作者 李法朝 吴从炘 仇计清 《模糊系统与数学》 CSCD 2000年第2期53-59,共7页
引入了广义 Fuzzy数的概念 ,讨论了 p-平均对称差度量 dΔp (参见 [3])在广义 Fuzzy数空间 E* 上关于代数运算的收敛问题。
关键词 p-平均对称差度量 广义Fuzzy数 代数运算 收敛
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p-平均对称差度量的紧性刻画
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作者 李法朝 李丽霞 《河北师范大学学报(自然科学版)》 CAS 1999年第3期297-301,共5页
利用分析的方法结合台型模糊数的概念,证明了在模糊度量空间 E1 中,支集模糊一致有界的关于 p 平均对称差度量 d Δp 的闭集 U 为紧集的充分必要条件: U 关于 Lp 度量 Dp 为紧集。
关键词 FUZZY数 平均对称差度量 台型模糊数
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球面型空间中的度量平均
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作者 郭曙光 《Journal of Mathematical Research and Exposition》 CSCD 1997年第3期441-446,共6页
本文首先建立球面型空间中度量平均的概念,其次讨论度量平均过程中一些几何不变量之间的关系,最后举例说明度量平均在解决球面型空间中几何极值问题时的应用.
关键词 球面型空间 度量平均 几何极值
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最大平均度量下的Bowen维数熵与测度下局部熵 被引量:1
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作者 孟如月 张瑞丰 《大学数学》 2021年第4期1-4,共4页
熵是反映动力系统复杂性的一个非常重要的量.本文研究了平均意义下的动力系统的性质,对于最大平均度量,引入了Bowen维数熵以及测度下局部熵的概念.并研究了它们之间的关系,说明了在最大平均度量下,Bowen维数熵依然可以由测度下局部熵估计.
关键词 最大平均度量 Bowen维数熵 测度下局部熵
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p-对称差度量的收敛判别法及极限表达式
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作者 李法朝 李丽霞 蔡习宁 《河北师范大学学报(自然科学版)》 CAS 2000年第2期169-172,共4页
证明了支集一致有界的 Fuzzy数序列 {A~(n) }按 p -平均对称差度量 dΔp 收敛于 Fuzzy数 A~ 的充分必要条件是 :存在 h∈ [0 ,1] ,使得 {an(λ) }和 {bn(λ) }在 [0 ,h]上几乎处处收敛 ,且∫1h[m( A(n)λ ) ] pdλ→ 0 ( n→∞ ) (此... 证明了支集一致有界的 Fuzzy数序列 {A~(n) }按 p -平均对称差度量 dΔp 收敛于 Fuzzy数 A~ 的充分必要条件是 :存在 h∈ [0 ,1] ,使得 {an(λ) }和 {bn(λ) }在 [0 ,h]上几乎处处收敛 ,且∫1h[m( A(n)λ ) ] pdλ→ 0 ( n→∞ ) (此处 ,A(n)λ =[an(λ) ,bn(λ) ]表示 A~(n)的λ -截集 ) ;进而给出了 Fuzzy数序列按 dΔp 展开更多
关键词 p-平均对称差度量 收敛判别 极限表达式 模糊数
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Flow Field Around Rushton Turbine in Stirred Tank by Particle Image Velocimetry Measurement 被引量:7
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作者 高殿荣 ACHARYA Sumanta +1 位作者 王益群 UHM Jongho 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2004年第6期843-850,共8页
In this paper, particle image velocimetry (PIV) was used to measure the mean and root meansquare(RMS) velocity in the stirred tank with six-flat blade Rushton turbine and with no baffles. Two typesof motion patterns w... In this paper, particle image velocimetry (PIV) was used to measure the mean and root meansquare(RMS) velocity in the stirred tank with six-flat blade Rushton turbine and with no baffles. Two typesof motion patterns were studied. One was that the impeller runs at constant speed, the other was that the impellerruns at time-dependent speed and in a periodic way. The emphasis of the paper was on the comparison of meanand RMS velocity vector maps and profiles between these two types of motion patterns, and especial attention waspaid to the comparison of the mean velocity, time-averaged RMS velocity, phase averaged RMS velocity betweenthe constant 3 RPS (revolution per second) and time-dependent operation. The Reynolds number was between 763and 1527. The study explained the mechanism that time-dependent RPS is more efficient for mixing than that ofconstant RPS. 展开更多
关键词 particle image velocimetry mean velocity stirred tank root mean squarevelocity time-dependent speed
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Asian climate change under 1.5-4 ℃ warming targets 被引量:11
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作者 XU Ying ZHOU Bo-Tao +3 位作者 WU Jie HAN Zhen-Yu ZHANG Yong-Xiang WU Jia 《Advances in Climate Change Research》 SCIE CSCD 2017年第2期99-107,共9页
Based on simulations of 18 CMIP5 models under three RCP scenarios, this article investigates changes in mean temperature and precipitation and their extremes over Asia in the context of global warming targets of 1.5-4... Based on simulations of 18 CMIP5 models under three RCP scenarios, this article investigates changes in mean temperature and precipitation and their extremes over Asia in the context of global warming targets of 1.5-4 ℃, and further compares the differences between 1.5 ℃ and 2 ℃ targets. Results show that relative to the pre-industrial era, the mean temperature over Asia increases by 2.3 ℃, 3.0 ℃, 4.6 ℃, and 6.0 ℃ at warming targets of 1.5 ℃, 2 ℃, 3 ℃, and 4 ℃, respectively, with stronger warming in high latitudes than in low latitudes. The corresponding enhancement in mean precipitation over the entire Asian region is 4.4%, 5.8%, 10.2%, and 13.0%, with significant regional differences. In addition, an increase in warm extremes, a decrease in cold extremes, and a strengthening in the variability of amounts of extreme precipitation are projected. Under the 1.5 ℃ target, compared with the climate under the 2 ℃ target, the mean temperature will be lower by 0.5-1 ℃ over Asia; the mean precipitation will be less by 5%-20% over most of Asia, but will be greater by about 10%-15% over West Asia and western South Asia; extreme high temperatures will be uniformly cooler throughout the Asian region, and the warming in extreme low temperatures will decrease significantly in high latitudes of Asia; extreme precipitation will be weaker over most of Asia but will be stronger over West Asia and western South Asia. Under the 1.5 ℃ and 2 ℃ warming targets, the probability of very hot weather (anomalies greater than 1σ, σ is standard deviation), extremely hot weather (anomalies greater than 3or), and extremely heavy precipitation (anomalies greater than 3σ) occurring will increase by at least once, 10%, and 10%, respectively, compared to the reference period (1861-1900). 展开更多
关键词 Global climate model CMIP5 Warming target Climate extreme Climate change
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Average Fidelity of Teleportation in Quantum Noise Channel 被引量:2
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作者 HAO Xiang ZHANG Rong ZHU Shi-Qun 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第5期802-806,共5页
The effects of amplitude damping in quantum noise channels on average fidelity of quantum teleportation are analyzed in Bloeh sphere representation for every stage of teleportation. When the quantum channels are varie... The effects of amplitude damping in quantum noise channels on average fidelity of quantum teleportation are analyzed in Bloeh sphere representation for every stage of teleportation. When the quantum channels are varied from maximally entangled states to non-maximally entangled states, it is found that the effects of noise channels on the fidelity are nearly equivalent to each other for strong quantum noise. The degree of damage on the fidelity of non-maximally entangled channels is smaller than that of maximally entangled channels. The average fidelity of values larger than 2/3 may be one representation indirectly showing how much the unavoidable quantum noise is. 展开更多
关键词 average fidelity TELEPORTATION quantum noise channel Bloch sphere
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Evaluating the Algorithm for Correction of the Bright Band Effects in QPEs with S-, C-and X-Band Dual-Polarized Radars 被引量:1
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作者 Yang CAO Debin SU +1 位作者 Xingang FAN Hongbin CHEN 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 2019年第1期41-54,共14页
The bright band, a layer of enhanced radar reflectivity associated with melting ice particles, is a major source of signifi- cant overestimation in quantitative precipitation estimation (QPE) based on the Z-R (refl... The bright band, a layer of enhanced radar reflectivity associated with melting ice particles, is a major source of signifi- cant overestimation in quantitative precipitation estimation (QPE) based on the Z-R (reflectivity factor-rain rate) relationship. The effects of the bright band on radar-based QPE can be eliminated by vertical profile of reflectivity (VPR) correction. In this study, we applied bright-band correction algorithms to evaluate three different bands (S-, C- and X-band) of dual-polarized radars and to reduce overestimation errors in Z-R relationship-based QPEs. After the reflectivity was corrected by the algo- rithms using average VPR (AVPR) alone and a combination of average VPR and the vertical profile of the copolar correlation coefficient (AVPR+CC), the QPEs were derived. The bright-band correction and resulting QPEs were evaluated in eight precipitation events by comparing to the uncorrected reflectivity and rain-gange observations, separately. The overestimation of Z-R relationship-based QPEs associated with the bright band was reduced after correction by the two schemes for which hourly rainfall was less than 5 mm. For the verification metrics of RMSE (root-mean-square error), RMAE (relative mean absolute error) and RMB (relative mean bias) of QPEs, averaged over all eight cases, the AVPR method improved from 2.28, 0.94 and 0.78 to 1.55, 0.60 and 0.40, respectively, while the AVPR+CC method improved to 1.44, 0.55 and 0.30, respectively. The QPEs after AVPR+CC correction had less overestimation than those after AVPR correction, and similar conclusions were drawn for all three different bands of dual-polarized radars. 展开更多
关键词 dual-polarized radar bright band QPE vertical profile of reflectivity
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Distribution of nutrients and eutrophication assessment in the Bohai Sea of China 被引量:23
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作者 王修林 崔正国 +2 位作者 郭全 韩秀荣 王江涛 《Chinese Journal of Oceanology and Limnology》 SCIE CAS CSCD 2009年第1期177-183,共7页
Water samples were collected in 120 stations in the Bohai Sea of China to analyze the distribution of dissolved nutrients and assess the degree of eutrophication in August 2002. The result shows that the average conce... Water samples were collected in 120 stations in the Bohai Sea of China to analyze the distribution of dissolved nutrients and assess the degree of eutrophication in August 2002. The result shows that the average concentration of DIN increased and the PO4-P concentration sharply decreased compared to the previous data of corresponding period. The high concentrations of DIN and PO4-P occurred in coastal waters, especially in the bays and some river estuaries, while the high concentrations of SiO3-Si in the surface and middle depth occurred in the central area of the Bohai Sea. The average ratio of DIN/PO4-P was much higher than the Redfield Ratio (16:1). Apparently, PO4-P was one of the limiting nutrient for phytoplankton growing in the sea. The average concentrations of DON and DOP were higher than their inorganic forms. The results of eutrophication assessment show that 22.1% of all stations were classified as violating the concentration levels of the National Seawater Quality Standard (GB 3097-1997) for DIN and only 3.9% for PO4-R The average eutrophication index in the overall area was 0.21±0.22 and the high values occurred in Bohai Bay, Liaodong Bay and near the Yellow River estuary. This means that the state of eutrophication was generally mesotrophic in the Bohai Sea, but relatively worse in the bays, especially some river estuaries. 展开更多
关键词 eutrophication aassessment NUTRIENTS DISTRIBUTION Bohai Sea
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Mapping Daily Temperature and Precipitation in the Qilian Mountains of Northwest China 被引量:2
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作者 PENG Shou-zhang ZHAO Chuan-yan +4 位作者 WANG Xiao-ping XU Zhong-lin LIU Xing-ming HAO Hu YANG Shi-fei 《Journal of Mountain Science》 SCIE CSCD 2014年第4期896-905,共10页
Daily meteorological data are the critical inputs for distributed hydrological and ecological models. This study modified mountain microclimate simulation model (MTCLIM) with the data from 19 weather stations, and c... Daily meteorological data are the critical inputs for distributed hydrological and ecological models. This study modified mountain microclimate simulation model (MTCLIM) with the data from 19 weather stations, and compared and validated two methods (the MTCLIM and the modified MTCLIM) in the Qilian Mountains of Northwest China to estimate daily temperature (i.e., maximum temperature, minimum temperature) and precipitation at six weather stations from i January 2000 to 31December 2009. The algorithm of temperature in modified MTCLIM was improved by constructing the daily linear regression relationship between temperature and elevation, aspect and location information. There are two steps to modify the MTCLIM to predict daily precipitation: firstly, the linear regression relationship was built between annual average precipitation and elevation, location, and vegetation index; secondly, the distance weight for measuring the contribution of each weather station on target point was improved by average wind direction during the rainy season. Several regression analysis and goodness-of-fit indices (i.e., Pearson's correlation coefficient, coefficient of determination, mean absolute error, root-mean-square error and modelingefficiency) were used to validate these estimated values. The result showed that the modified MTCLIM had a better performance than the MTCLIM. Therefore, the modified MTCLIM was used to map daily meteorological data in the study area from 2000 to 2009. These results were validated using weather stations with short time data and the predicted accuracy was acceptable. The meteorological data mapped could become inputs for distributed hydrological and ecological models applied in the Qilian Mountains. 展开更多
关键词 MTCLIM (Mountain microclimatesimulation model) Wind direction PRECIPITATION Temperature Qilian Mountains.
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