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本文提出二元误差的概念。众所周知,所有的误差因素都要产生测量误差。现假设有两种误差因素:δ_i和δ_(i+1)。显然,δ_i≠0及δ_(i+1)≠0。当测量误差Δ_i=f(δ_i)=0和Δ_(i+1)=f(δ_(i+1))=0时,测量误差Δ_(i,i+1)=f(δ_i,δ_(i+1))≠0。该测量误差Δ_(i,i+1)称之为二元误差,因为它是由两个误差因素δ_i和δ_(i+1)共同作用而产生的。根据测量实践和理论分析不难证明二元误差是经常发生的。本文给出了产生二元误差的一些实例,并推导了确定二元误差的公式。根据对二元误差值的计算可知:它对精密测量的精度有着很不利的影响。
This paper presents the concept of binary error. As we all know, all the error factors must produce measurement error. Now suppose there are two kinds of error factors: δ_i and δ_ (i + 1). Obviously, δ_i ≠ 0 and δ_ (i + 1) ≠ 0. The measurement error Δ_ (i, i + 1) = f (δ_i, δ_ (i) when the measurement errors Δ_i = f (δ_i) = 0 and Δ_ (i + 1) = f (δ_ (i + 1)) = 0 +1)) ≠ 0. The measurement error Δ_ (i, i + 1) is called a binary error because it is generated by the interaction of two error factors δ_i and δ_ (i + 1). According to the measurement practice and theoretical analysis, it is not difficult to prove that binary error occurs frequently. This paper gives some examples of binary errors, and derives the formula to determine the binary errors. Based on the calculation of the binary error value we can see: it has a very adverse effect on the precision of the precision measurement.