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euclidean distance
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  euclidean distance
Nei's statistics as also Euclidean distance matrix was applied to find the genetic diversity between the six species, wherein the closest relationship between A.
      
Nei's statistics as also Euclidean distance matrix was applied to find the genetic diversity between the six species, wherein the closest relationship between A.
      
Euclidean distance were used for AFLP and morphological data ranged from 0.32 to 1.56 and from 0.30 to 1.48, respectively.
      
The classification is done finding the shortest Euclidean distance among the primitives of the new images and the primitives of the classes.
      
The test subwindow is labeled as defective, or not according to the Euclidean distance between the true feature vector representing the non-defective regions and the feature vector of the subwindow under test.
      
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Chromatographic retention data of 100 official drugs have been measured with thirteen different chromatographic system, in which six are TLC systems, four are GC and three are HPLC systems, The proposed method of combinatorial optimization of several chromatographic systems may be called Euclidean-distance method.It has been shown to be easy to use and effective in screening a large number of combinations with the assist from a computer, ND-500. For the identification of the 100 official drugs, we...

Chromatographic retention data of 100 official drugs have been measured with thirteen different chromatographic system, in which six are TLC systems, four are GC and three are HPLC systems, The proposed method of combinatorial optimization of several chromatographic systems may be called Euclidean-distance method.It has been shown to be easy to use and effective in screening a large number of combinations with the assist from a computer, ND-500. For the identification of the 100 official drugs, we have selected with it 1 four-dimensional combination out of 715, 12 five-dimensional combinations out of 1287, etc.

本文测定了100种法定西药在13个色谱系统(6个薄层色谱,4个气相色谱,3个高效液相色谱)中的保留值。以欧氏距离做为色谱组合优化的依据,借助电子计算机ND-500,从中选出能鉴定100种西药的组合色谱。从715个四维组合里选出1个组合;从1287个五维组合选出12个组合;从1716个六维组合里选出63个组合;从1716个七维组合里选出170个组合。结果表明,本法简便易行,适合从多个保留值表示方法不同的色谱系统中优选组合色谱。

The data on the yield, number of grains per spike and weight of 1,000 kernels obtained from Wheat cultivar regional test in the Lower Yangtse Valley were used to group locations according to the similarity of genotype ×location effects by cluster analysis. Six or seven genotypes of wheat were planted in thirteen locations from 1979 to 1983 for four crop seasons. Distance coefficients(Euclidean distance)were estimated among all possible pairs of locations. Such an analysis would be useful for the...

The data on the yield, number of grains per spike and weight of 1,000 kernels obtained from Wheat cultivar regional test in the Lower Yangtse Valley were used to group locations according to the similarity of genotype ×location effects by cluster analysis. Six or seven genotypes of wheat were planted in thirteen locations from 1979 to 1983 for four crop seasons. Distance coefficients(Euclidean distance)were estimated among all possible pairs of locations. Such an analysis would be useful for the selection of testing sites for early generation testing and for development of genotypes with wide or narrow adaptability.The weight of 1,000 kernels of check cultivar was the best data to group locations. The 13 locations were grouped into 10 clusters with respect to their Weight of 1,000 kernels of check cultivar distance in a 4-dimensional space (4 years).The groups were as follows:A.East to the Grand Canala.Eastern plain1. Suzhou, 2. Nantong(Rudong)b.Law ground of riverside3. Wujin, 4. Changshu, 5. Xinghuac. Seaboard sandy soil region6. Yancheng and DafengB.West to the Grand Canald. High sandy region7. Yangzhoue. Downland8. Zhenjiang and Yizheng, 9. Nanjingf. Side of River and Lake(Hongze Lake)10. Jinhu and Jiangpu.

应用长江下游地区小麦品种区域试验1979—1983年4个小麦生长季的产量、每穗粒数和千粒重资料,分别按其基因型×地点效应的相似性进行聚类分析。6—7个小麦材料种在13个试点。计算各试点间所有可能成对的78个欧氏距离系数。此种分析有助于为选择确当试验地点以研究早期世代和品种适应性的宽窄提供参考。结果表明,本试验中区试地点分类上用对照品种多年多点的千粒重资料为变量,聚类效果较好。按其4年千粒重的距离,13个区试点可分为2片、6区、10组。一、大运河以东片。包括:(一)东部平原,有苏州、南通(如东);(二)沿河低地,有武进、常熟、兴化;(三)沿海砂土区,有盐城、大丰。二、大运河以西片。包括:(四)高砂土地区,有扬州;(五)丘陵区,有镇江、仪征,南京;(六)沿江、沿湖区,有江浦、金湖。最后根据聚类结果,对区试点的调整问题进行了讨论。

The Euclidean distances as a criterion in feature space for pattern recognition are presented. The results are satisfied in classification if the intraset Euclidean distance is minimized and the interset Euclidean distance is maximized. It can be proved that the coordinates of dimension reduction space that is eigenvectors with maximum eigenvalues of intraset covariance matrix of patterns, usually named K-L expansion feature selection method, is not suitable for pattern classification. The...

The Euclidean distances as a criterion in feature space for pattern recognition are presented. The results are satisfied in classification if the intraset Euclidean distance is minimized and the interset Euclidean distance is maximized. It can be proved that the coordinates of dimension reduction space that is eigenvectors with maximum eigenvalues of intraset covariance matrix of patterns, usually named K-L expansion feature selection method, is not suitable for pattern classification. The three feature selection method: minimum intraset Euclidean distance feature selection, maximum interset Euclidean distance feature selection and compound Euclidean distance feature selection are proposed to reduce the dimensionality of measurement vectors by the view of Euclidean distance, orthogonal transformations and quadratic optimization. The Euclidean feature selection is explict as well as plain. The other various feature selection methods based on the orthogonal transformation can be unified in conception by the method presented in this paper.

本文提出用降维空间中欧氏距离作为模式识别中特征选择的准则。特征选择后的模式在新的特征空间中,如果类内欧氏距离最小,或类间欧氏体距离最大,则可获得良好的分类效果。可以证明,K-L特征选择中,在讨论分类问题时,往往采用类内协方差矩阵最大本征值的那些特征,这是离开模式识别要求的讨论。本文从欧氏距离,正交变换和二次最优的观点。提出模式识别中三类特性选择方法,即最小类内欧氏距离特征选择,最大类间欧氏距离特征选择和综合欧氏距离特征选择。本文通过比较及实例分析,说明欧氏距离特征选择具有简明、直观的特点,并且把以正交变换为基础的各种特征选择方法从概念上统一起来。

 
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