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建立函数解析式模型的基本方法 被引量:1
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作者 李文文 《数学教学通讯》 2018年第3期72-73,共2页
大量的现实问题可以通过建立函数模型来解决.函数模型包括数据表格、函数图像、函数解析式等形式,其中函数解析式是最重要的函数模型形式;基于数据运用图像模拟法所建立的函数解析式模型存在不唯一、不准确等局限,结合运用最小二乘法可... 大量的现实问题可以通过建立函数模型来解决.函数模型包括数据表格、函数图像、函数解析式等形式,其中函数解析式是最重要的函数模型形式;基于数据运用图像模拟法所建立的函数解析式模型存在不唯一、不准确等局限,结合运用最小二乘法可优化图形模拟法建立的函数解析式模型. 展开更多
关键词 函数解析式模型 图像模拟法 最小二乘法 优化
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数据挖掘方法在传统预测模型中的应用 被引量:4
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作者 徐聪 《河北工业科技》 CAS 2009年第4期280-282,共3页
数学建模领域中,对于解决不同类型的预测问题有一些经典的预测模型。最近日益流行的数据挖掘技术也有一些针对解决预测问题的独特的数学模型和建模方法。在此对使用传统解析式模型的预测方法与应用数据挖掘技术的数据库模型的预测方法... 数学建模领域中,对于解决不同类型的预测问题有一些经典的预测模型。最近日益流行的数据挖掘技术也有一些针对解决预测问题的独特的数学模型和建模方法。在此对使用传统解析式模型的预测方法与应用数据挖掘技术的数据库模型的预测方法进行了对比,重点分析了2种方法在影响因素的确定、数据规律的寻找方法以及模型侧重点选择上的不同之处,并简单讨论了如何结合2种模型的优点,将数据挖掘技术应用于传统解析式模型的建模过程之中,对已有的解析式预测模型进行改进,进而得出更加可靠准确的预测结果。 展开更多
关键词 数学建模 数据挖掘 解析式模型 数据库模型 数据统计 回归分析
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A Novel Interconnect Crosstalk Parallel RLC Analyzable Model Based on the 65nm CMOS Process
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作者 朱樟明 钱利波 杨银堂 《Journal of Semiconductors》 EI CAS CSCD 北大核心 2008年第3期423-427,共5页
Based on the 65nm CMOS process,a novel parallel RLC coupling interconnect analytical model is presented synthetically considering parasitical capacitive and parasitical inductive effects. Applying function approximati... Based on the 65nm CMOS process,a novel parallel RLC coupling interconnect analytical model is presented synthetically considering parasitical capacitive and parasitical inductive effects. Applying function approximation and model order-reduction to the model, we derive a closed-form and time-domain waveform for the far-end crosstalk of a victim line under ramp input transition. For various interconnect coupling sizes, the proposed RLC coupling analytical model enables the estimation of the crosstalk voltage within 2.50% error compared with Hspice simulation in a 65nm CMOS process. This model can be used in computer-aided-design of nanometer SOCs. 展开更多
关键词 nanometer CMOS interconnect coupling crosstalk parallel RLC analytical model parameter extraction function approximation
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Computational Performance of the High-Resolution Atmospheric Model FAMIL 被引量:8
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作者 ZHOU Lin-Jiong LIU Yi-Min +2 位作者 BAO Qing YU Hai-Yang WU Guo-Xiong 《Atmospheric and Oceanic Science Letters》 2012年第5期355-359,共5页
This paper describes the model speed and model In/Out (I/O) efficiency of the high-resolution atmospheric general circulation model FAMIL (Finite- volume Atmospheric Model of IAP/LASG) at the National Supercompute... This paper describes the model speed and model In/Out (I/O) efficiency of the high-resolution atmospheric general circulation model FAMIL (Finite- volume Atmospheric Model of IAP/LASG) at the National Supercomputer Center in Tianjin, China, on its Tianhe-lA supercomputer platform. A series of three- model-day simulations were carried out with standard Aqua Planet Experiment (APE) designed within FAMIL to obtain the time stamp for the calculation of model speed, simulation cost, and model 1/O efficiency. The results of the simulation demonstrate that FAMIL has remarkable scalability below 3456 and 6144 cores, and the lowest simulation costs are 1536 and 3456 cores for 12.5 km and 6.25 krn resolutions, respectively. Furthermore, FAMIL has excellent I/O scalability and an efficiency of more than 80% on 6 I/Os and more than 99% on 1536 I/Os. 展开更多
关键词 FAMIL HIGH-RESOLUTION computational per-formance SCALABILITY EFFICIENCY
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Motion Estimation of an Omnidirectional Mobile Robot
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作者 Mkhinini Maher Knani Jilani 《Journal of Mechanics Engineering and Automation》 2011年第5期357-364,共8页
The motion's generation consists in finding an analytic expression of a motion according to time. A Map road type planner or Cell decomposition provide to the motion generator some possible free crossing points of co... The motion's generation consists in finding an analytic expression of a motion according to time. A Map road type planner or Cell decomposition provide to the motion generator some possible free crossing points of collision. The global trajectory's interpolation by a polynomial is generally not possible, because the degree of the polynomial increases with the number of crossing points which can generate vibrations or loops of the. trajectory. The solution consists in using polynomials in an inferior degree and to build the motion in pieces. The theoretical developments concern the motion's generation, the modeling of the vehicle, then the management of its redundancy steam-power. All these methods contribute to improve the robot precision (accuracy). The authors are presenting the motion's generator which constructs into lines a continuous trajectory C2 while enabling the transformation of the crossing points into lines. The generator presented here as part of omnidirectional robot is adaptable to any kind of vehicle. 展开更多
关键词 ROBOTICS generation control MOTION omnidirectionnal mobile robot.
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An investigation of non-Newtonian fluid flow due to metachronal beating of cilia in a tube 被引量:2
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作者 A. M. Siddiqui A. A. Farooq M. A. Rana 《International Journal of Biomathematics》 2015年第2期29-51,共23页
The aim of this study is to explain theoretically the role of ciliary motion on the transport of epididymal fluid through the ductus efferentes of the male reproductive track. For this purpose, a mathematical model ha... The aim of this study is to explain theoretically the role of ciliary motion on the transport of epididymal fluid through the ductus efferentes of the male reproductive track. For this purpose, a mathematical model has been developed for the flow of a non-Newtonian fluid in an axisymmetric tube due to metachronal wave of cilia motion for the more realistic consequences. Carreau viscous fluid model is considered to see the rheological effects on the pumping characteristics of the flow. Regular perturbation method has been employed to obtain the analytical expressions for the stream function, the velocity field and a relation between the pressure difference and the volume flow rate. It is found that the volume flow rate is influenced significantly by Weissenberg number We and the cilia length parameter ε. The computational results are presented graphically to see the effects of various physical parameters. Finally, the analysis is applied and compared with the observed value of the flow rate of spermatic fluid in the ductus efferentes of the male reproductive track. The volume flow rate is reported closed to the estimated value 6 × 10^-3 ml/h in the human ductus efferentes when We = 0.5 and e is near by 0.25. 展开更多
关键词 Cilia-induced motion axisymmetric tube metachronal wave Carreau fluid analytic solutions pumping and trapping.
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Quasi-Conical Quantum Dot: Electron States and Quantum Transitions
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作者 Eduard M.Kazaryan Lyudvig S.Petrosyan +1 位作者 Vanik A.Shahnazarya Hayk A.Sarkisyan 《Communications in Theoretical Physics》 SCIE CAS CSCD 2015年第2期255-260,共6页
The exactly solvable model of quasi-conical quantum dot, having a form of spherical sector, is proposed. Due to the specific symmetry of the problem the separation of variables in spherical coordinates is possible in ... The exactly solvable model of quasi-conical quantum dot, having a form of spherical sector, is proposed. Due to the specific symmetry of the problem the separation of variables in spherical coordinates is possible in the one- electron Sehrodinger equation. Analytical expressions for wave function and energy spectrum are obtained. It is shown that at small values of the stretch angle of spherical sector the problem is reduced to the conical QD problem. The comparison with previously performed works shows good agreement of results. As an application of the obtained results, the quantum transitions in the system are considered. 展开更多
关键词 conical quantum dot electron states quantum transitions
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