The Gromov-Hausdorff distance (dGH) proves to be a useful measure between shapes. In order approximate dGH for X,Y⊂Rd, we look into its relationship with dH,iso, the infimum Hausdorff under Euclidean isometries. As already known dimension d≥2, dH,iso cannot bounded above by constant factor times dGH. For d=1, however, prove that dH,iso≤54dGH. We also show bound is tight. effect, X,Y⊂R at most n...

homogeneity and uniformity of soil particles is a most potent factor which affects soil spectral signatures. geometric standard deviation of soil particles (?g) exhibits the homogeneity of soil components. this study presents the influence of ?g on spectral studying of soil geometric mean particle diameter as well as lime. the study was conducted in pol-e-dokhtar using the data set of lissiii-p...

The notion of a complex hesitant fuzzy set (CHFS) is one the better tools in order to deal with information. Since distance plays crucial role differentiate between two things or sets, this paper, we first develop priority degree for comparison elements (HFEs). Then variety measures are developed, namely, Complex normalized Hamming-Hausdorff (CHNHHD), Euclidean-Hausdorff (CHNEHD), Generalized H...

Over the past decade, Euclidean distance matrices, or EDMs, have been receiving increased attention for two main reasons. The first reason is that the many applications of EDMs, such as molecular conformation in bioinformatics, dimensionality reduction in machine learning and statistics, and especially the problem of wireless sensor network localization, have all become very active areas of res...