Lexicographic derivatives developed by Nesterov and directed subdifferentials developed by Baier, Farkhi, and Roshchina are both essentially nonconvex generalized derivatives for nonsmooth nonconvex functions and satisfy strict calculus rules and mean-value theorems. This article aims to clarify the relationship between the two generalized derivatives. In particular, for scalar-valued functions...

in this research, the bud and cane winter cold tolerance of 22 field-grown grapevine cultivars of kourdestan province agricultural and natural resources research and education center was evaluated at jan. and mar. stages in 2012. in these cultivars soluble carbohydrates and water content changes of buds and canes during dormant period also were measured. after exposure to different freezing tem...