| 对误差传播定律一些应用问题的再讨论 |
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| 引用本文： | 韩丽蓉,张占杰.对误差传播定律一些应用问题的再讨论[J].测绘科学,2008,33(2):64-66. |
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| 作者姓名： | 韩丽蓉 张占杰 |
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| 作者单位： | 青海大学水电系,西宁,810016;中国科学院对地观测与数字地球科学中心,北京,100101 |
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| 摘 要： | 本文结合三角测量的实例对误差传播定律一些应用问题进行了讨论,指出当只有一个独立的观测值时,和函数与倍数函数运用误差传播定律不会出现悖论;采用数学中更为复杂的恒等函数关系式中不同的算式求解相同观测值的函数值,运用误差传播定律也不会出现悖论。如果在测量工作中有多余的直接观测值,就需用平差后的间接观测值按协方差传播律来计算,这样数学中相等的函数关系才能得到同样的函数中误差结果。
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| 关 键 词： | 误差传播定律 中误差 和函数 倍数函数 |
| 文章编号： | 1009-2307（2008）02-0064-03 |
| 收稿时间： | 2006-12-14 |
| 修稿时间： | 2006年12月14 |
Discussion on some application cases of the error propagation law |
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| HAN Li-rong,ZHANG Zhan-jie.Discussion on some application cases of the error propagation law[J].Science of Surveying and Mapping,2008,33(2):64-66. |
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| Authors: | HAN Li-rong ZHANG Zhan-jie |
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| Abstract: | This paper discusses some application cases of the error propagation law by the examples of trigonometrical survey, and presents that not only sum function and numeral multipling function in which there is only one independent observed value but also more complex functions which are equal in mathematics are not opposite in the process of error propagation according to the error propagation law. If there is unnecessary direct observed value in survey work, it need to calculate functions by indirect adjusted value, so the functions which are equal in mathematics can get same mean error of the functions. |
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| Keywords: | error propagation law mean error sum function numeral multipling function |
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