Investigations are very important for non-regular curves in differential geometry. Framed have been used recently to study singular curves, and they many contributions singularity theory. In this study, framed Tzitzeica introduced with the help of curves. addition, some special that satisfy condition given. New results obtained among these

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...