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本文给出有限和式sum from k=1 to nf(k)的积分放缩的若干结论,并讨论其在求极限、证明不等式和无穷级数收敛性等问题中的应用。 相似文献
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为解决四连杆双足机器人的平面步态规划问题, 提出基于被动行走的平面步态规划。基于3毅向下坡面完全被动行走的动力学方程, 利用角度不变控制方法施加控制力矩, 得到机器人在水平面上的动力学模型。结合常数时间放缩方法对平面参考轨迹进行时间放缩, 得到机器人在水平面上步幅不变, 周期可变的行走步态。通过Matlab 软件数值仿真结果表明, 该研究方法是可行、有效的。 相似文献
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不等式是研究数学问题的重要工具,它渗透在数学的各个部分,在高等数学中也有极其重要的应用。不等式的证明,方法灵活多样,它可以和很多内容结合。本文主要介绍了不等式证明中的四种方法:换元法、反证法、放缩法和构造法。 相似文献
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利用矩阵Schur补的定义,结合不等式的放缩技巧和数学归纳法,给出Nekrasov矩阵行列式界的估计,改进和推广了已有结果,并用相应的数值实例说明了所得结果的有效性. 相似文献
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李晓久 《东华大学学报(自然科学版)》2000,26(2)
省道转移的原理在服装纸样设计中应用十分广泛。基本省道依据人体结构规律和服装纸样结构规律确定,并且可以依据省道转移的原理进行移省、分省、加省、转省,从而变化出各种款式。这里主要讨论了省道的结构特性和变化规律,提出了建立在省道转移原理基础之上的服装款式纸样的放缩方法。 相似文献
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自由曲线台及其腔体零件数控加工编程 总被引:1,自引:1,他引:0
本文利用BRIDGEPORT立式加工中心提供的自由曲线编程与放缩循环功能、再设置若干参数变量,生成一个通用程序,它解决了各种形状大小的自由曲线台及其腔体的数控加工编程问题. 相似文献
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主要探讨了放缩法在高等数学极限证明,夹逼准则求极限,反常积分敛散性判定,正项级数敛散性判定等方面的应用。 相似文献
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The Domenico model is used in combination with ASTM E 1739 in a Tier 2 risk assessment of chlorinated organic solvents contaminated groundwater sites to predict potential contaminant concentration in groundwater down-gradient from the point of exposure (POE). A knowledge of the dispersivity parameters is necessary for carrying out this calculation. A constant longitudinal dispersivity of 10 m is often used in analytical and numerical calculation. However, because of the scale effect of dispersion, two other main approaches are currently often used. From the viewpoint of conservative principle in risk assessment, it is necessary to determine which dispersivity data will give a higher predicted concentration, corresponding to a more conservative risk calculation. Generally, it is considered that a smaller dispersivity leads to a higher predicted concentration. This assumption is correct when dispersion is the only natural attenuation factor.However, degradation of commonly encountered chlorinated organic solvents in environment under natural condition has been widely reported. Calculations given in this paper of several representative cases show that a general consideration of the influence of dispersivity on concentration prediction is not always correct when a degradation term is included in the calculation. To give a conservative risk calculation, the scale effect of dispersion is considered. Calculations also show that the dispersivity parameters need to be determined by considering the POE distance from the source, the groundwater velocity, and the degradation rate of the contaminant. 相似文献