DETERMINANTS OF ORGANIC WINE PRODUCTION: AN APPLICATION IN THE DOC RIOJA WINE INDUSTRY


Evolutoids and pedaloids of frontals on timelike surfaces

In this article, we define evolutoids and pedaloids of frontals on Mystery Box timelike surfaces in Minkowski 3-space.The evolutoids of frontals on timelike surfaces are not only the generalization of evolutoids of curves in the Minkowski plane but also the generalization of caustics in Minkowski 3-space.As an application of the singularity theory,

read more