Nonlinear integral and discrete inequalities are obtained. which are related to some recent results of B. C. Pachpatte in [1] given therein as generalizations of Ou-Iang’s integral inequality[2]. As special cases, so...Nonlinear integral and discrete inequalities are obtained. which are related to some recent results of B. C. Pachpatte in [1] given therein as generalizations of Ou-Iang’s integral inequality[2]. As special cases, some new inequalities with the power nonlinearity are derived from the main results. To show the contribution of our results, boundedness of solutions to certain nonlinear difference equation is also considered.展开更多
将基于粗糙集的默认规则挖掘算法(Mining Default Rules Based on Rough Set,MDRBR)用于电力系统短期负荷预测,首先采用基于Gini指标的粗糙集离散化算法对气温、湿度等影响负荷的条件属性进行离散化,同时兼顾了条件属性和决策属性。在...将基于粗糙集的默认规则挖掘算法(Mining Default Rules Based on Rough Set,MDRBR)用于电力系统短期负荷预测,首先采用基于Gini指标的粗糙集离散化算法对气温、湿度等影响负荷的条件属性进行离散化,同时兼顾了条件属性和决策属性。在此基础上,通过计算规则的信赖度和支持度形成不同层次上符合初定阈值的带粗糙集算子的网络规则集,能减少因噪音的影响而产生的多余规则,提高规则产生和实际分类的效率,使所产生的分类规则集大大缩小,提高在使用规则时检索规则的效率。在负荷预测时自上而下逐层搜索规则网直至找出与所给信息相匹配的规则。粗糙集算子反映了规则的重要程度,同时作为选择规则的标准。实际应用表明,该方法能有效去除噪音,提高默认规则的挖掘效率,从而提高负荷预测的精度,具有一定的实用性。展开更多
The ＂theory of self-similar oscillatory finite-time singularities＂ of Sornette reflects accurately the spatio-temporal evolution and trends of development of events and processes in complex systems approaching to th...The ＂theory of self-similar oscillatory finite-time singularities＂ of Sornette reflects accurately the spatio-temporal evolution and trends of development of events and processes in complex systems approaching to the singularities, and the effect of prediction for catastrophic events has been tested to be satisfactory. The authors take the contents of the chemical element tungsten as the carrier of positive feedback （or activator） in the ore formation, then try to apply the theory to studying and analyzing the onset and development of ore formation in the Dajishan （大吉山） tungsten ore area, Jiangxi （江西） Province, China. The results of the study show that during the spatio-temporal evolution from outside the ore area to its center, the contents of the chemical element tungsten and their loga- rithmic derivatives （local fractal dimension） manifest an obvious regularity： by way of the process of oscillation and the transition to power-law accelerating growth, they eventually approach the center of ore formation. The regularity makes clear that in the complex ore-forming system of the Dajishan tungsten ore deposit, the chemical element tungsten plays the role of carrier of positive and negative feedback, and by competing with each other, approaches to singularity in finite time by virtue of self-similar log-periodic oscillations and succeeded by power-law accelerating growth. In this way the onset of ore formation is realized. This regularity reflects correctly the dynamic process of ore formation of the studied ore deposit. The authors hold that Sornette＇s theory can be further applied to the prediction of perspective areas.展开更多
基金The project is supported in part by the NSF of Guangdong Province (Grnat No. 940651) the SF of Key Discipline of the State Council Office of Overseas Chinese Affairs of China (Grant No.93-93-6)
文摘Nonlinear integral and discrete inequalities are obtained. which are related to some recent results of B. C. Pachpatte in [1] given therein as generalizations of Ou-Iang’s integral inequality[2]. As special cases, some new inequalities with the power nonlinearity are derived from the main results. To show the contribution of our results, boundedness of solutions to certain nonlinear difference equation is also considered.
文摘将基于粗糙集的默认规则挖掘算法(Mining Default Rules Based on Rough Set,MDRBR)用于电力系统短期负荷预测,首先采用基于Gini指标的粗糙集离散化算法对气温、湿度等影响负荷的条件属性进行离散化,同时兼顾了条件属性和决策属性。在此基础上,通过计算规则的信赖度和支持度形成不同层次上符合初定阈值的带粗糙集算子的网络规则集,能减少因噪音的影响而产生的多余规则,提高规则产生和实际分类的效率,使所产生的分类规则集大大缩小,提高在使用规则时检索规则的效率。在负荷预测时自上而下逐层搜索规则网直至找出与所给信息相匹配的规则。粗糙集算子反映了规则的重要程度,同时作为选择规则的标准。实际应用表明,该方法能有效去除噪音,提高默认规则的挖掘效率,从而提高负荷预测的精度,具有一定的实用性。
基金supported by the Open Foundation of State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Beijing (No. GPMR200842)
文摘The ＂theory of self-similar oscillatory finite-time singularities＂ of Sornette reflects accurately the spatio-temporal evolution and trends of development of events and processes in complex systems approaching to the singularities, and the effect of prediction for catastrophic events has been tested to be satisfactory. The authors take the contents of the chemical element tungsten as the carrier of positive feedback （or activator） in the ore formation, then try to apply the theory to studying and analyzing the onset and development of ore formation in the Dajishan （大吉山） tungsten ore area, Jiangxi （江西） Province, China. The results of the study show that during the spatio-temporal evolution from outside the ore area to its center, the contents of the chemical element tungsten and their loga- rithmic derivatives （local fractal dimension） manifest an obvious regularity： by way of the process of oscillation and the transition to power-law accelerating growth, they eventually approach the center of ore formation. The regularity makes clear that in the complex ore-forming system of the Dajishan tungsten ore deposit, the chemical element tungsten plays the role of carrier of positive and negative feedback, and by competing with each other, approaches to singularity in finite time by virtue of self-similar log-periodic oscillations and succeeded by power-law accelerating growth. In this way the onset of ore formation is realized. This regularity reflects correctly the dynamic process of ore formation of the studied ore deposit. The authors hold that Sornette＇s theory can be further applied to the prediction of perspective areas.
