| 标度变换的等价无穷小量应用 |
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| 引用本文： | 占 杨,宣本金.标度变换的等价无穷小量应用[J].重庆工商大学学报(自然科学版),2014(8):20-23. |
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| 作者姓名： | 占 杨 宣本金 |
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| 作者单位： | [1]中国科学技术大学物理学院,合肥230026; [2]中国科学技术大学数学学院,合肥230026 |
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| 摘 要： | 在力学中,利用标度变换法求一些对称物体的转动惯量,可以避免计算繁琐的积分.此处给出了利用标度变换法求连续函数极限及等价无穷小量的新方法.利用标度变换法,将连续函数的极限及等价无穷小量的求法约化为初等的代数问题,从而大大简化了运算.
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| 关 键 词： | 标度变换 极限 等价无穷小量 |
Infinitesimal of Scale Transformation Method and Its Application |
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| Institution: | ZHAN Yang , XUAN Ben-jin (a.Physics School;b. Mathematics School, China Science and Technology University, Hefei 230026, China) |
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| Abstract: | In mechanics, scale transformation method is used to calculate the moment of inertia of some symmetric objects, which can avoid the integral with complex calculation.This paper gives a new method, scale transformation method, to calculate continuous function limits and their equivalent infinitesimals and to reduce the calculation of continuous function limits and their equivalent infinitesimals into primary algebra so that the calculation is greatly simplified. |
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| Keywords: | scale transformation limit equivalent infinitesimal |
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