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误差率的量化关系和客观量的划分准则
引用本文:盛中平,林正华.误差率的量化关系和客观量的划分准则[J].东北师大学报(自然科学版),1996(1):23-28.
作者姓名:盛中平  林正华
作者单位:东北师范大学数学系,吉林大学数学系
摘    要:对误差概念,给出了一套建议性的基本符号,定义了伴随相对误差,并对相对误差与伴随相对误差的量化关系进行了讨论,得到两个相关定理,从而为解决实际问题提供了一定的理论基础,就处理实际问题时的客观量的划分,给出了两个准则,并具体分析了几个典型实例,最后用基本符号表述了有关误差传播的若干基本结果。

关 键 词:相对误差  误差率  客观量  近似计算  量化关系

Relation on Error Ratios and Criterion on Objective Quantities
Sheng Zhongping,Bai Yushan,Lin Zhenghua.Relation on Error Ratios and Criterion on Objective Quantities[J].Journal of Northeast Normal University (Natural Science Edition),1996(1):23-28.
Authors:Sheng Zhongping  Bai Yushan  Lin Zhenghua
Abstract:A set of basic symbols are assigned about error concepts.The adjoint relativeerror is defined and the quantitative relation between relative error and adjoint relativeerror is discussed.Two theorems can be obtained from the definition and discussion.This offers beneficial theoretical base for practice application.Two criterion are given forthe division of objective quanties when practical problems are dealt with and several examples are analyzed.At the end of the essay,some basic results about the error propagation are indicated with basic symbols.
Keywords:relative error  adjoint relative error  mathematical quantity  objective quantity  
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