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  relative algebra
     The relative algebra distance(RAD) was proposed as a new method for least-square circle fitting by using a new residual error item.
     构造一个新的残差项,提出一种新的最小二乘圆估计方法———相对代数距离法.
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  “相对代数”译为未确定词的双语例句
     Based on concepts of relative algebraic interior and relative topological interior of sets,some conditions assuring Ari+B(A+B)ri in a linear space and conditions assuring riA+Bri(A+B) in a linear topological space are given respectively,according to Tanaka and Kuroiwa' s conclusions. Therefore,Tanaka and Kuroiwa' s conclusions about interior are generalized to the situation of relative interior.
     根据Tanaka和Kuroiwa的结论,在集合相对代数内部和相对拓扑内部概念的基础上,分别讨论了线性空间中Ari+B(A+B)ri和线性拓扑空间中riA+Bri(A+B)成立的条件,从而将Tanaka和Kuroiwa关于内部的结论推广到了相对内部的情形;
短句来源
     Method for least-squares circle fitting based on the relative algebraic distance
     圆参数估计的相对代数距离法
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  相似匹配句对
     Relative Defects of Algebroid Functions
     代数体函数的相对亏量(英文)
短句来源
     Method for least-squares circle fitting based on the relative algebraic distance
     圆参数估计的相对代数距离法
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     THE STUDY OF RELATIVE COULOMETRIC TITRITION
     相对库仑滴定法
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     Theory of Relativity & Theory of Relative Absoluteness
     相对绝对论
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     FG-algebra
     FG-代数
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The relative algebra distance(RAD) was proposed as a new method for least-square circle fitting by using a new residual error item.Simulation tests show that it has better performance than the centroid estimation method,and the closed-form estimation of the circle parameters without divergence which is the main problem in the geometric distance method.Results also show higher accuracy of parameter estimation under some measurement error and outliers compared with the algebra distance method.This new method shows...

The relative algebra distance(RAD) was proposed as a new method for least-square circle fitting by using a new residual error item.Simulation tests show that it has better performance than the centroid estimation method,and the closed-form estimation of the circle parameters without divergence which is the main problem in the geometric distance method.Results also show higher accuracy of parameter estimation under some measurement error and outliers compared with the algebra distance method.This new method shows the best accuracy when the number of measurements is small or at small arcs.

构造一个新的残差项,提出一种新的最小二乘圆估计方法———相对代数距离法.仿真实验表明,该法总体性能优于质心法;具有封闭解析解,克服了几何距离法的迭代不收敛问题;抗噪声和粗差点影响性能优于代数距离法,在样本点较少且(或)分布较集中时有较好的拟合精度.

Based on conditions assuring intA+B=int(A+B),conditions assuring(A+B)~(ri)A~(ri)+B in a linear space and conditions assuring ri(A+B)riA+B in a linear topological space are given respectively.Therefore,such conclusions about interior as cor(A+B)corA+B and int(A+B)intA+B are generalized to the situation of relative interior.

根据使得int(A+B)intA+B成立的已有结论,在集合相对代数内部和相对拓扑内部概念的基础上,分别给出了线性空间中(A+B)ri Ari+B和线性拓扑空间中ri(A+B)riA+B成立的条件,从而将cor(A+B)corA+B和int(A+B)intA+B关于内部的结论推广到了相对内部的情形。

Based on concepts of relative algebraic interior and relative topological interior of sets,some conditions assuring Ari+B(A+B)ri in a linear space and conditions assuring riA+Bri(A+B) in a linear topological space are given respectively,according to Tanaka and Kuroiwa' s conclusions.Therefore,Tanaka and Kuroiwa' s conclusions about interior are generalized to the situation of relative interior.Moreover,it is showed that the relative interior operator behaves like in a sense a linear operator.

根据Tanaka和Kuroiwa的结论,在集合相对代数内部和相对拓扑内部概念的基础上,分别讨论了线性空间中Ari+B(A+B)ri和线性拓扑空间中riA+Bri(A+B)成立的条件,从而将Tanaka和Kuroiwa关于内部的结论推广到了相对内部的情形;并证明了相对内部运算在一定条件下相当于线性算子.

 
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