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The Existence and Multiplicity of Positive Solutions for a Third-order Three-point Boundary Value Problem 被引量:58
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作者 Qing-liu YaoDepartment of Applied Mthematics, Nanjing University of Economics, Nanjing 210003, China 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2003年第1期117-122,共6页
Abstract The existence of n positive solutions for a class of third-order three-point boundary value problems is investigated, where n is an arbitrary natural number. The main tool is Krasnosel'skii fixed point th... Abstract The existence of n positive solutions for a class of third-order three-point boundary value problems is investigated, where n is an arbitrary natural number. The main tool is Krasnosel'skii fixed point theorem on the cone. 展开更多
关键词 Keywords Third-order ordinary differential equation three-point boundary value problem existence of n positive solutions fixed point theorem on cone.
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略论叙事在中国社会研究中的运用及其限制 被引量:45
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作者 应星 《江苏行政学院学报》 2006年第3期71-75,共5页
由于实证主义科学观支配了主流社会学的研究,预设它是惟一客观可靠的知识类型,从而使质性研究越来越被排斥到了边缘地位。叙事作为质性研究的一种,不仅仅是一种文学手法或情感表达,它与逻辑科学话语同样是一种基本的认知方式,对于丰富... 由于实证主义科学观支配了主流社会学的研究,预设它是惟一客观可靠的知识类型,从而使质性研究越来越被排斥到了边缘地位。叙事作为质性研究的一种,不仅仅是一种文学手法或情感表达,它与逻辑科学话语同样是一种基本的认知方式,对于丰富社会学的想象力有着重要的意义。叙事在中国社会研究中具有独特的地位,这是为中国社会生活的变通性、过程性和模糊性所决定的。叙事是否成功,取决于作者的问题感、材料的复杂性和讲故事的技巧。方法与研究对象是一致的,因此,与其用“叙事的时刻”去颠覆统计社会学的神话,不如为适当的问题选择适当的方法,克服韦伯所谓“方法论的瘟疫”。 展开更多
关键词 实证化 叙事研究 中国社会研究 适用性 限制
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The Constrained Solutions of Two Matrix Equations 被引量:41
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作者 An Ping LIAO Zhong Zhi BAI Department of Mathematics. Hunan University. Changshu, 410082. P. R. China Department of Mathematics and Information Science, Changsha University, Changsha 410003. P. R. China Academy of Mathematics and System. Sciences. Chinese Academy of Sciences. Beijing 100080. P. R. China State Key Laboratory of Scientific/Engineering Computing. Chinese Academy of Sciences. Institute of Computational Mathematics and Scientific/Engineering Computing. Academy of Mathematics and System Sciences. Chinese Academy of Sciences. P. O. Box 2719. Beijing 100080. P. R. China 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2002年第4期671-678,共8页
We study the symmetric positive semidefinite solution of the matrix equation AX_1A^T + BX_2B^T=C. where A is a given real m×n matrix. B is a given real m×p matrix, and C is a given real m×m matrix, with... We study the symmetric positive semidefinite solution of the matrix equation AX_1A^T + BX_2B^T=C. where A is a given real m×n matrix. B is a given real m×p matrix, and C is a given real m×m matrix, with m, n, p positive integers: and the bisymmetric positive semidefinite solution of the matrix equation D^T XD=C, where D is a given real n×m matrix. C is a given real m×m matrix, with m. n positive integers. By making use of the generalized singular value decomposition, we derive general analytic formulae, and present necessary and sufficient conditions for guaranteeing the existence of these solutions. 展开更多
关键词 Matrix equation Symmetric positive semidefinite matrix Bisymmetric positive semidefinite matrix
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A Two-Step Shape-Preserving Advection Scheme 被引量:42
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作者 宇如聪 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 1994年第4期479-490,共12页
This paper proposes a new two-step non-oscillatory shape-preserving positive definite finite difference advection transport scheme, which merges the advantages of small dispersion error in the simple first-order upst... This paper proposes a new two-step non-oscillatory shape-preserving positive definite finite difference advection transport scheme, which merges the advantages of small dispersion error in the simple first-order upstream scheme and small dissipation error in the simple second-order Lax-Wendroff scheme and is completely different from most of present positive definite advection schemes which are based on revising the upstream scheme results. The proposed scheme is much less time consuming than present shape-preserving or non-oscillatory advection transport schemes and produces results which are comparable to the results obtained from the present more complicated schemes. Elementary tests are also presented to examine the behavior of the scheme. 展开更多
关键词 Shape-preserving Non-oscillation positive definite advection scheme
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On the Existence of Positive Periodic Solutions for Neutral Functional Differential Equation with Multiple Deviating Arguments 被引量:37
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作者 Shi-pingLu Wei-gaoGe 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2003年第4期631-640,共10页
By means of an abstract continuation theory for k-set contraction and continuation theorem of coincidence degree principle, some criteria are established for the existence of positive periodic solutions of following n... By means of an abstract continuation theory for k-set contraction and continuation theorem of coincidence degree principle, some criteria are established for the existence of positive periodic solutions of following neutral functional differential equation 展开更多
关键词 positive periodic solution k-set contraction coincidence degree neutral functional differential equation
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Positive and negative terrains on northern Shaanxi Loess Plateau 被引量:35
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作者 ZHOU Yi TANG Guo'an +3 位作者 YANG Xin XIAO Chenchao ZHANG Yuan LUO Mingliang 《Journal of Geographical Sciences》 SCIE CSCD 2010年第1期64-76,共13页
The Loess positive and negative terrains (P-N terrains), which are widely distributed on the Loess Plateau, are discussed for the first time by introducing its characteristic, demarcation as well as extraction metho... The Loess positive and negative terrains (P-N terrains), which are widely distributed on the Loess Plateau, are discussed for the first time by introducing its characteristic, demarcation as well as extraction method from high-resolution Digital Elevation Models. Using 5 m-resolution DEMs as original test data, P-N terrains of 48 geomorphological units in different parts of Shaanxi Loess Plateau are extracted accurately. Then six indicators for depicting the geomorphologic landscape and spatial configuration characteristic of P-N terrains are proposed. The spatial distribution rules of these indicators and the relationship between the P-N terrains and Loess relief are discussed for further understanding of Loess landforms. Finally, with the integration of P-N terrains and traditional terrain indices, a series of un-supervised classification methods are applied to make a proper landform classification in northern Shaanxi. Results show that P-N terrains are an effect clue to reveal energy and substance distribution rules on the Loess Plateau. A continuous change of P-N terrains from south to north in Shaanxi Loess Plateau shows an obvious spatial difference of Loess land-forms and the positive terrain area only accounted for 60.5% in this region. The P-N terrains participant landform classification method increases validity of the result, especially in the Loess tableland, Loess tableland-ridge and the Loess low-hill area. This research is significant on the study of Loess landforms with the Digital Terrains Analysis methods. 展开更多
关键词 Loess Plateau positive and negative terrains DEM shoulder-lines spatial differentiation
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Analysis of the Microphysical Structure of Heavy Fog Using a Droplet Spectrometer:A Case Study 被引量:34
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作者 牛生杰 陆春松 +3 位作者 刘延刚 赵丽娟 吕晶晶 杨军 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 2010年第6期1259-1275,共17页
The microphysical properties of a long-lasting heavy fog event are examined based on the results from a comprehensive field campaign conducted during the winter of 2006 at Pancheng (32.2°N, 118.7°E), Jiang... The microphysical properties of a long-lasting heavy fog event are examined based on the results from a comprehensive field campaign conducted during the winter of 2006 at Pancheng (32.2°N, 118.7°E), Jiangsu Province, China. It is demonstrated that the key microphysical properties (liquid water content, fog droplet concentration, mean radius and standard deviation) exhibited positive correlations with one another in general, and that the 5-min-average maximum value of fog liquid water content was sometimes greater than 0.5 g m-3. Further analysis shows that the unique combination of positive correlations likely arose from the simultaneous supply of moist air and fog condensation nuclei associated with the advection of warm air, which further led to high liquid water content. High values of liquid water content and droplet concentration conspired to cause low visibility (〈50 m) for a prolonged period of about 40 h. Examination of the microphysical relationships conditioned by the corresponding autoconversion threshold functions shows that the collision-coalescence process was sometimes likely to occur, weakening the positive correlations induced by droplet activation and condensational growth. Statistical analysis shows that the observed droplet size distribution can be described well by the Gamma distribution. 展开更多
关键词 fog microphysics positive correlation high liquid water content low visibility warm and moistair
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因子分析中数据正向化处理的必要性及其软件实现 被引量:36
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作者 刘新华 《重庆工学院学报(自然科学版)》 2009年第9期152-155,共4页
从应用角度,用实例阐明了因子分析过程中对逆向指标正向化处理的必要性.论述了逆向指标对综合评价的影响,并给出了逆向指标正向化处理的SPSS软件实现方法.
关键词 因子分析 正向化 综合评价
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基于光伏并网逆变系统的改进锁相环设计 被引量:36
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作者 赵贵龙 曹玲玲 祝龙记 《电力系统保护与控制》 EI CSCD 北大核心 2015年第2期108-112,共5页
针对光伏并网系统中的传统锁相环在电网电压不平衡的情况下存在的锁相精度不高的问题,提出了一种能快速、精确地提取电网电压相位的一种双二阶广义积分锁相环(DSOGI-SPLL)。系统通过采用双二阶广义积分和标准的三相锁相环有效地过滤电... 针对光伏并网系统中的传统锁相环在电网电压不平衡的情况下存在的锁相精度不高的问题,提出了一种能快速、精确地提取电网电压相位的一种双二阶广义积分锁相环(DSOGI-SPLL)。系统通过采用双二阶广义积分和标准的三相锁相环有效地过滤电网电压负序分量,从而提取出电网电压正序分量,达到精确检测电网电压正序分量的相位的目的。最后,对电网电压两相跌落和三相不平衡跌落分别进行仿真,采用DSP样板对仿真进行验证。仿真实验结果表明,该锁相环能够向并网逆变器提供更精确的控制基准,提高了并网发电系统并网的稳定性和有效性。 展开更多
关键词 光伏 并网 不平衡 锁相环 正序 负序
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Existence of Positive Solutions to Second Order Neumann Boundary Value Problems 被引量:31
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作者 蒋达清 刘辉昭 《Journal of Mathematical Research and Exposition》 CSCD 2000年第3期360-364,共5页
The existence of positive solutions to second-order Neumann BVPs -u' + Mu = f(t, u), u'(0) = u'(1) = 0 and u' + Mu = f(t, u), u'(0) =u'(1) is proved by a simple application of a Fixed Poin... The existence of positive solutions to second-order Neumann BVPs -u' + Mu = f(t, u), u'(0) = u'(1) = 0 and u' + Mu = f(t, u), u'(0) =u'(1) is proved by a simple application of a Fixed Point Theorem in cones due to Krasnoselskii[1,6]. 展开更多
关键词 Neumann BVP positive solutions the fixed point theorem.
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Experimental Study of the Pressure Fluctuations in a Pump Turbine at Large Partial Flow Conditions 被引量:33
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作者 RAN Hongjuan LUO Xianwu +3 位作者 ZHU Lei ZHANG Yao WANG Xin XU Hongyuan 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2012年第6期1205-1209,共5页
Frequent shifts of output and operating mode require a pump turbine with excellent stability. Current researches show that large partial flow conditions in pump mode experience positive-slope phenomena with a large he... Frequent shifts of output and operating mode require a pump turbine with excellent stability. Current researches show that large partial flow conditions in pump mode experience positive-slope phenomena with a large head drop. The pressure fluctuation at the positive slope is crucial to the pump turbine unit safety. The operating instabilities at large partial flow conditions for a pump turbine are analyzed. The hydraulic performance of a model pump turbine is tested with the pressure fluctuations measured at unstable operating points near a positive slope in the performance curve. The hydraulic performance tests show that there are two separated positive-slope regions for the pump turbine, with the flow discharge for the first positive slope from 0.85 to 0.91 times that at the maximum efficiency point. The amplitudes of the pressure fluctuations at these unstable large partial flow conditions near the first positive slope are much larger than those at stable operating condtions. A dominant frequency is measured at 0.2 times the impeller rotational frequency in the flow passage near the impeller exit, which is believed to be induced by the rotating stall in the flow passage of the wicket gates. The test results also show hysteresis with pressure fluctuations when the pump turbine is operated near the first positive slope. The hysteresis creates different pressure fluctuations for those operation points even though their flow rates and heads are similar respectively. The pressure fluctuation characteristics at large partial flow conditions obtained by the present study will be helpful for the safe operation of pumped storage units. 展开更多
关键词 positive slope pressure fluctuation rotating stall pump turbine
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Effectiveness and safety of noninvasive positive-pressure ventilation for severe hypercapnic encephalopathy due to acute exacerbation of chronic obstructive pulmonary disease:a prospective case-control study 被引量:30
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作者 ZHU Guang-fa ZHANG Wei ZONG Hua XU Qiu-fen LIANG Ying 《Chinese Medical Journal》 SCIE CAS CSCD 2007年第24期2204-2209,共6页
Background Although severe encephalopathy has been proposed as a possible contraindication to the use of noninvasive positive-pressure ventilation (NPPV), increasing clinical reports showed it was effective in patie... Background Although severe encephalopathy has been proposed as a possible contraindication to the use of noninvasive positive-pressure ventilation (NPPV), increasing clinical reports showed it was effective in patients with impaired consciousness and even coma secondary to acute respiratory failure, especially hypercapnic acute respiratory failure (HARF). To further evaluate the effectiveness and safety of NPPV for severe hypercapnic encephalopathy, a prospective case-control study was conducted at a university respiratory intensive care unit (RICU) in patients with acute exacerbation of chronic obstructive pulmonary disease (AECOPD) during the past 3 years. Methods Forty-three of 68 consecutive AECOPD patients requiring ventilatory support for HARF were divided into 2 groups, which were carefully matched for age, sex, COPD course, tobacco use and previous hospitalization history, according to the severity of encephalopathy, 22 patients with Glasgow coma scale (GCS) 〈10 served as group A and 21 with GCS 〉10 as group B. Results Compared with group B, group A had a higher level of baseline arterial partial CO2 pressure ((102±27) mmHg vs (74±17) mmHg, P〈0.01), lower levels of GCS (7.5±1.9 vs 12.2±1.8, P〈0.01), arterial pH value (7.18±0.06 vs 7.28±0.07, P〈0.01) and partial 02 pressure/fraction of inspired 02 ratio (168±39 vs 189±33, P〈0.05). The NPPV success rate and hospital mortality were 73% (16/22) and 14% (3/22) respectively in group A, which were comparable to those in group B (68% (15/21) and 14% (3/21) respectively, all P〉0.05), but group A needed an average of 7 cmH20 higher of maximal pressure support during NPPV, and 4, 4 and 7 days longer of NPPV time, RICU stay and hospital stay respectively than group B (P〈0.05 or P〈0.01). NPPV therapy failed in 12 patients (6 in each group) because of excessive airway secretions (7 patients), hemodynamic instability (2), worsening of dyspnea and deterioration of ga 展开更多
关键词 acute respiratory failure HYPERCAPNIA ENCEPHALOPATHY chronic obstructive pulmonary disease noninvasive positive pressure ventilation
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ON THE EXISTENCE OF POSITIVE SOLUTIONS TO SECOND ORDER PERIODIC BVPS 被引量:28
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作者 蒋达清 《Acta Mathematica Scientia》 SCIE CSCD 1998年第S1期31-35,共5页
The existence of positive solutions to second-order periodic BVPs-u'+Mu =j(t, u),t(0) = u(2π),u'(0) = '(2π) and u'+ Mu = I(t, u), u(0) = u(2π), u'(0) = u'(2π)is proved by a simple appliCati... The existence of positive solutions to second-order periodic BVPs-u'+Mu =j(t, u),t(0) = u(2π),u'(0) = '(2π) and u'+ Mu = I(t, u), u(0) = u(2π), u'(0) = u'(2π)is proved by a simple appliCation of a Fixed point Theorem in cones due to Krasnoselskii. 展开更多
关键词 Periodic BVP. positive solutions. the fixed point theorem
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直接抗人球蛋白试验阳性病人ABO、Rh疑难血型鉴定和交叉配血试验74例分析 被引量:29
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作者 陆乐 吴玲玲 +2 位作者 姚晓娟 陈杰 李平 《安徽医药》 CAS 2017年第2期277-280,共4页
目的总结直接抗人球蛋白试验(直接Coombs试验)阳性病人的ABO、Rh疑难血型鉴定和交叉配血试验的经验。方法选择74例确诊为原发性和继发性自身免疫性溶血性贫血(AIHA)且红细胞直接Coombs试验阳性病人,进行聚凝胺法交叉配血、抗冷体的吸收... 目的总结直接抗人球蛋白试验(直接Coombs试验)阳性病人的ABO、Rh疑难血型鉴定和交叉配血试验的经验。方法选择74例确诊为原发性和继发性自身免疫性溶血性贫血(AIHA)且红细胞直接Coombs试验阳性病人,进行聚凝胺法交叉配血、抗冷体的吸收试验、磷酸氯喹放散试验以及自身抗体吸收试验,用吸收后的血清进行抗体特异性的鉴定。结果 59例病人出现ABO血型正反定型不一致,经磷酸氯喹放散试验和自身抗体吸收试验后正确定型;61例病人出现交叉配血不合,经磷酸氯喹放散试验和自身抗体吸收试验后,50例病人配血相合。结论运用磷酸氯喹放散试验、冷抗体吸收试验、自身抗体吸收试验,可明显提高病人血型鉴定准确率以及配血的相合率,确保病人安全输血。 展开更多
关键词 抗球蛋白试验 阳性 血型鉴定 交叉配血 磷酸氯喹 自身抗体
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Effect of Continuous Positive Airway Pressure Therapy on Glycemic Excursions and Insulin Sensitivity in Patients with Obstructive Sleep Apnea-hypopnea Syndrome and Type 2 Diabetes 被引量:27
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作者 Li-Xin Guo Xin Zhao +5 位作者 Qi Pan Xue Sun Hui Li Xiao-Xia Wang Li-Na Zhang Yao Wang 《Chinese Medical Journal》 SCIE CAS CSCD 2015年第17期2301-2306,共6页
Background: For patients with obstructive sleep apnea-hypopnea syndrome (OSAHS) and type 2 diabetes mellitus (T2DM), the night sleep interruption and intermittent hypoxia due to apnea or hypopnea may induce glyce... Background: For patients with obstructive sleep apnea-hypopnea syndrome (OSAHS) and type 2 diabetes mellitus (T2DM), the night sleep interruption and intermittent hypoxia due to apnea or hypopnea may induce glycemic excursions and reduce insulin sensitivity. This study aimed to investigate the effect of continuous positive airway pressure (CPAP) therapy in patients with OSAHS and T2DM. Methods: Continuous glucose monitoring system (CGMS) was used in 40 patients with T2DM and newly diagnosed OSAHS. The measurements were repeated after 30 days of CPAP treatment. Subsequently, insulin sensitivity and glycohemoglobin (HbAlc) were measured and compared to the pretreatment data. Results: After CPAP therapy, the CGMS indicators showed that the 24-h mean blood glucose (MBG) and the night time MBG were significantly reduced (P 〈 0.05 and P = 0.03, respectively). The mean ambulatory glucose excursions (MAGEs) and the mean of daily differences were also significantly reduced (P 〈 0.05 and P = 0.002, respectively) compared to pretreatment levels. During the night, MAGE also significantly decreased (P = 0.049). The differences between the highest and lowest levels of blood glucose over 24 h and during the night were significantly lower than prior to CPAP treatment (P 〈 0.05 and P = 0.024, respectively). The 24 h and night time durations of high blood glucose (〉7.8 mmol/L and 〉 11.1 mmol/L) decreased (P 〈 0.05 and P 〈 0.05, respectively) after the treatment. In addition, HbA 1 c levels were also lower than those before treatment (P 〈 0.05), and the homeostasis model assessment index of insulin resistance was also significantly lower than before CPAP treatment (P = 0.034). Conclusions: CPAP therapy may have a beneficial effect on improving not only blood glucose but also upon insulin sensitivity in T2DM patients with OSAHS. This suggests that CPAP may be an effective treatment for T2DM in addition to intensive diabetes management. 展开更多
关键词 Continuous Glucose Monitoring System Continuous positive Airway Pressure Obstructive Sleep Apnea-hypopnea Syndrome Type 2 Diabetes Mellitus
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Size distribution, characteristics and sources of heavy metals in haze episod in Beijing 被引量:27
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作者 Jingchun Duan Jihua Tan +1 位作者 Jiming Hao Fahe Chai 《Journal of Environmental Sciences》 SCIE EI CAS CSCD 2014年第1期189-196,共8页
Size segragated samples were collected during high polluted winter haze days in 2006 in Beijing, China. Twenty nine elements and 9 water soluble ions were determined. Heavy metals of Zn, Pb, Mn, Cu, As, Cr, Ni, V and ... Size segragated samples were collected during high polluted winter haze days in 2006 in Beijing, China. Twenty nine elements and 9 water soluble ions were determined. Heavy metals of Zn, Pb, Mn, Cu, As, Cr, Ni, V and Cd were deeply studied considering their toxic effect on human being. Among these heavy metals, the levels of Mn, As and Cd exceeded the reference values of National Ambient Air Quality Standard (GB3095-2012) and guidelines of World Health Organization. By estimation, high percentage of atmospheric heavy metals in PM2.5 indicates it is an effective way to control atmospheric heavy metals by PM2.5 controlling. Pb, Cd, and Zn show mostly in accumulation mode, V, Mn and Cu exist mostly in both coarse and accumulation modes, and Ni and Cr exist in all of the three modes. Considering the health effect, the breakthrough rates of atmospheric heavy metals into pulmonary alveoli are: Pb (62.1%) 〉 As (58.1%) 〉 Cd (57.9%) 〉 Zn (57.7%) 〉 Cu (55.8%) 〉 Ni (53.5%) 〉 Cr (52.2%) 〉 Mn (49.2%) 〉 V (43.5%). Positive matrix factorization method was applied for source apportionment of studied heavy metals combined with some marker elements and ions such as K, As, SO42- etc., and four factors (dust, vehicle, aged and transportation, unknown) are identified and the size distribution contribution of them to atmospheric heavy metals are discussed. 展开更多
关键词 source apportionment positive matrix factorization PM2.5 water soluble ion health effect
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A Pricing Model for Big Personal Data 被引量:26
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作者 Yuncheng Shen Bing Guo +3 位作者 Yan Shen Xuliang Duan Xiangqian Dong Hong Zhang 《Tsinghua Science and Technology》 SCIE EI CAS CSCD 2016年第5期482-490,共9页
Big Personal Data is growing explosively. Consequently, an increasing number of internet users are drowning in a sea of data. Big Personal Data has enormous commercial value; it is a new kind of data asset. An urgent ... Big Personal Data is growing explosively. Consequently, an increasing number of internet users are drowning in a sea of data. Big Personal Data has enormous commercial value; it is a new kind of data asset. An urgent problem has thus arisen in the data market: How to price Big Personal Data fairly and reasonably. This paper proposes a pricing model for Big Personal Data based on tuple granularity, with the help of comparative analysis of existing data pricing models and strategies. This model is put forward to implement positive rating and reverse pricing for Big Personal Data by investigating data attributes that affect data value, and analyzing how the value of data tuples varies with information entropy, weight value, data reference index, cost, and other factors. The model can be adjusted dynamically according to these parameters. With increases in data scale, reductions in its cost,and improvements in its quality, Big Personal Data users can thereby obtain greater benefits. 展开更多
关键词 data tuple Big Personal Data positive grading reverse pricing pricing model
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EXISTENCE OF POSITIVE PERIODIC SOLUTIONS FOR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS 被引量:23
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作者 LuShiping GeWeigao 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2002年第4期382-390,共9页
By means of an abstract continuation theorem, the existence criteria are established for the positive periodic solutions of a neutral functional differential equation d N d t=N(t)[a(t)-β(t)N(t)-b(t)N(t-σ(t))-c(... By means of an abstract continuation theorem, the existence criteria are established for the positive periodic solutions of a neutral functional differential equation d N d t=N(t)[a(t)-β(t)N(t)-b(t)N(t-σ(t))-c(t)N′(t-τ(t))]. 展开更多
关键词 positive periodic solution abstract continuation theorem neutral functional differential equation.
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On the new results of global attractive set and positive invariant set of the Lorenz chaotic system and the applications to chaos control and synchronization 被引量:23
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作者 LIAO Xiaoxin 1, 2, 3 , FU Yuli 4 & XIE Shengli 4 1. Department of Control Science & Control Engineering, Huazhong University of Science & Technology, Wuhan 430074, China 2. School of Automation, Wuhan University of Science & Technology, Wuhan 430070, China +1 位作者 3. School of Information, Central South University of Economy, Politics and Law, Wuhan 430064, China 4. School of Electronics & Information Engineering, South China University of Technology, Guangzhou 510640, China Correspondence should be addressed to Liao Xiaoxin (email: xiaoxin_liao@hotmail.com) 《Science in China(Series F)》 2005年第3期304-321,共18页
Constructing a family of generalized Lyapunov functions, a new method is proposed to obtain new global attractive set and positive invariant set of the Lorenz chaotic system. The method we proposed greatly simplifies ... Constructing a family of generalized Lyapunov functions, a new method is proposed to obtain new global attractive set and positive invariant set of the Lorenz chaotic system. The method we proposed greatly simplifies the complex proofs of the two famous estimations presented by the Russian scholar Leonov. Our uniform formula can derive a series of the new estimations. Employing the idea of intersection in set theory, we extract a new Leonov formula-like estimation from the family of the estimations. With our method and the new estimation, one can confirm that there are no equilibrium, periodic solutions, almost periodic motions, wandering motions or other chaotic attractors outside the global attractive set. The Lorenz butterfly-like singular attractors are located in the global attractive set only. This result is applied to the chaos control and chaos synchronization. Some feedback control laws are obtained to guarantee that all the trajectories of the Lorenz systems track a periodic solution, or globally stabilize an unstable (or locally stable but not globally asymptotically stable) equilibrium. Further, some new global exponential chaos synchronization results are presented. Our new method and the new results are expected to be applied in real secure communication systems. 展开更多
关键词 Lorenz chaotic system global attractive set positive invariant set globally exponential tracking globally exponential synchronization.
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一种基于聚类的PU主动文本分类方法 被引量:23
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作者 刘露 彭涛 +1 位作者 左万利 戴耀康 《软件学报》 EI CSCD 北大核心 2013年第11期2571-2583,共13页
文本分类是信息检索的关键问题之一.提取更多的可信反例和构造准确高效的分类器是PU(positive and unlabeled)文本分类的两个重要问题.然而,在现有的可信反例提取方法中,很多方法提取的可信反例数量较少,构建的分类器质量有待提高.分别... 文本分类是信息检索的关键问题之一.提取更多的可信反例和构造准确高效的分类器是PU(positive and unlabeled)文本分类的两个重要问题.然而,在现有的可信反例提取方法中,很多方法提取的可信反例数量较少,构建的分类器质量有待提高.分别针对这两个重要步骤提供了一种基于聚类的半监督主动分类方法.与传统的反例提取方法不同,利用聚类技术和正例文档应与反例文档共享尽可能少的特征项这一特点,从未标识数据集中尽可能多地移除正例,从而可以获得更多的可信反例.结合SVM主动学习和改进的Rocchio构建分类器,并采用改进的TFIDF(term frequency inverse document frequency)进行特征提取,可以显著提高分类的准确度.分别在3个不同的数据集中测试了分类结果(RCV1,Reuters-21578,20 Newsgoups).实验结果表明,基于聚类寻找可信反例可以在保持较低错误率的情况下获取更多的可信反例,而且主动学习方法的引入也显著提升了分类精度. 展开更多
关键词 PU(FIositive and unlabeled)文本分类 聚类 TFIPNDF(term FREQUENCY inverse positive negative document frequency) 主动学习 可信反例 改进的Rocchio
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