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| 利用对称性计算曲线积分与曲面积分 | |
| 引用本文： | 刘渭川. 利用对称性计算曲线积分与曲面积分[J]. 河南科学, 2006, 24(6): 810-812 |
| 作者姓名： | 刘渭川 |
| 作者单位： | 河南工业大学,理学院,郑州,450052 |
| 摘 要： | 借助于(平面)空间曲线及空间曲面的直观几何意义,利用曲线、曲面关于坐标轴及坐标面的对称性,探讨了对于定义在具有对称性的曲线、曲面上的奇(偶)函数,如何利用对称性计算曲线积分及曲面积分.这种积分方法使得曲线(面)积分更为简便、快捷,同时,也有利于避免因符号处理不当而导致的积分错误. |
| 关 键 词： | 奇(偶)函数 对称曲线 对称曲面 |
| 文章编号： | 1004-3918(2006)06-0810-03 |
| 收稿时间： | 2006-08-03 |
| 修稿时间： | 2006-08-03 |
Calculate the Surface Lntegral and Curve Integral by Means of Symmetry |
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| LIU Wei-chuan. Calculate the Surface Lntegral and Curve Integral by Means of Symmetry[J]. Henan Science, 2006, 24(6): 810-812 | |
| Authors: | LIU Wei-chuan |
| Affiliation: | College of Science, Henan University of Technology, Zhengzhou 450052, China |
| Abstract: | By the help of geometric significance of plane or space curve and space surface,and by use of the symmetry of curve and surface to coordinate axis and coordinate surface,how to use the symmetry to calculate the surface integral and curve integral is discussed for the odd(even) functions that are defined on the curve or surface with symmetry.This method makes curve(surface) integral more simple and convenient,At same time,it has advantage of avoiding mistakes in integrating by missing symbol. |
| Keywords: | odd(even) function symmetrical curve symmetrical surface |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |