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最值计算错误剖析
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作者 燕杰 梁春兰 《中学生数理化(高二数学、高考数学)》 2003年第7期10-11,13,共3页
“最值”在中学教材中占有一定的地位,在解答这类问题时,往往会出现各种各样的错误.这些错误主要是由于概念不清.忽视定理、公式中的某些条件以及其它的隐含条件而造成的.本文拟从这几点举例浅谈错误的成因以及解题的正确途径,希望这对... “最值”在中学教材中占有一定的地位,在解答这类问题时,往往会出现各种各样的错误.这些错误主要是由于概念不清.忽视定理、公式中的某些条件以及其它的隐含条件而造成的.本文拟从这几点举例浅谈错误的成因以及解题的正确途径,希望这对同学们正确、合理解答最值问题能有所裨益. 展开更多
关键词 最值计算 错误 高中 数学
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Hydrodynamic characteristics of the surface-piercing propellers for the planing craft 被引量:2
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作者 Hassan GHASSEMI 《Journal of Marine Science and Application》 2009年第4期267-274,共8页
Demand for high-speed marine vehicles (HSMVs) is high among both commercial and naval users. It is the duty of the marine vessel's designer to provide a hull and propulsion system that diminishes drag, improves pr... Demand for high-speed marine vehicles (HSMVs) is high among both commercial and naval users. It is the duty of the marine vessel's designer to provide a hull and propulsion system that diminishes drag, improves propulsive efficiency, increases safety and improves maneuverability. From the propulsor side, surface piercing propellers (SPPs) should improve performance. Unlike immersed propellers, behavior of the SPP is affected by depth of immersion, Weber number and shaft inclination angle. This paper uses a practical numerical method to predict the hydrodynamic characteristics of an SPP. The critical advance velocity ratio is derived using the Weber number and pitch ratio in the transition mode, then the potential based boundary element method (BEM) is used on the engaged surfaces. Two models of three and six-bladed SPPs (SPP-1 and SPP-2) were selected and some results are shown. 展开更多
关键词 surface piercing propeller boundary element method hydrodynamic characteristics
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Underground water quality model inversion of genetic algorithm
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作者 MA Ruijie LI Xin 《Global Geology》 2009年第3期164-167,共4页
The underground water quality model with non-linear inversion problem is ill-posed, and boils down to solving the minimum of nonlinear function. Genetic algorithms are adopted in a number of individuals of groups by i... The underground water quality model with non-linear inversion problem is ill-posed, and boils down to solving the minimum of nonlinear function. Genetic algorithms are adopted in a number of individuals of groups by iterative search to find the optimal solution of the problem, the encoding strings as its operational objective, and achieving the iterative calculations by the genetic operators. It is an effective method of inverse problems of groundwater, with incomparable advantages and practical significances. 展开更多
关键词 underground water quality model INVERSION genetic algorithm genetic operator
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从课本习题的探究中获得解题灵感和方法
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作者 王锋 《数理化学习》 2016年第6期14-17,共4页
通过对课本习题解题过程的探究和深度反思,挖掘习题中蕴含的数学思维方法并迁移习题的结论从四个方面阐释了解决中考问题重要作用.彰显了课本习题是获得解题灵感和方法的源泉.
关键词 过程反思 最值计算 周长面积
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MINIMUM HAUSDORFF DISTANCE UNDER RIGID MOTIONS AND COMPARISON OF PROTEIN STRUCTURES
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作者 Banghe LI Bo LI Yuefeng SHEN 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2009年第4期560-586,共27页
Hausdorff distance between two compact sets, defined as the maximum distance from a point of one set to another set, has many application in computer science. It is a good measure for the similarity of two sets. This ... Hausdorff distance between two compact sets, defined as the maximum distance from a point of one set to another set, has many application in computer science. It is a good measure for the similarity of two sets. This paper proves that the shape distance between two compact sets in R^n defined by nfinimum Hausdorff distance under rigid motions is a distance. The authors introduce similarity comparison problems in protein science, and propose that this measure may have good application to comparison of protein structure as well. For calculation of this distance, the authors give one dimensional formulas for problems (2, n), (3, 3), and (3, 4). These formulas can reduce time needed for solving these problems. The authors did some data, this formula can reduce time needed to one As n increases, it would save more time. numerical experiments for (2, n). On these sets of fifteenth of the best algorithms known on average. 展开更多
关键词 Hausdorff distance pattern matching pattern recognition protein structure alignment.
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HASM-AD Algorithm Based on the Sequential Least Squares
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作者 WANG Shihai YUE Tianxiang 《Geo-Spatial Information Science》 2010年第4期285-293,共9页
The HASM(high accuracy surface modeling) technique is based on the fundamental theory of surfaces,which has been proved to improve the interpolation accuracy in surface fitting.However,the integral iterative solution ... The HASM(high accuracy surface modeling) technique is based on the fundamental theory of surfaces,which has been proved to improve the interpolation accuracy in surface fitting.However,the integral iterative solution in previous studies resulted in high temporal complexity in computation and huge memory usage so that it became difficult to put the technique into application,especially for large-scale datasets.In the study,an innovative model(HASM-AD) is developed according to the sequential least squares on the basis of data adjustment theory.Sequential division is adopted in the technique,so that linear equations can be divided into groups to be processed in sequence with the temporal complexity reduced greatly in computation.The experiment indicates that the HASM-AD technique surpasses the traditional spatial interpolation methods in accuracy.Also,the cross-validation result proves the same conclusion for the spatial interpolation of soil PH property with the data sampled in Jiangxi province.Moreover,it is demonstrated in the study that the HASM-AD technique significantly reduces the computational complexity and lessens memory usage in computation. 展开更多
关键词 surface modeling HASM spatial interpolation sequential least squares
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