a brief background to the development of the rock engineering design process is given, showing that since the development of the science of mathematics, deterministic methods have been used to perform various calculations. the variability of rock properties and support characteristics have always been known. however, they were not explicitly used in design but compensated for by the use of a sa...

a brief background to the development of the rock engineering design process is given, showing that since the development of the science of mathematics, deterministic methods have been used to perform various calculations. the variability of rock properties and support characteristics have always been known. however, they were not explicitly used in design but compensated for by the use of a sa...

abstract: enviromental concerns, improvements in renewable energy technologies, governmental incentives for the use of these resources, and increased t&d; costs, are the main factors driving the energy sector into a new era, where considerable portions of electrical demand will be met through widespread installation of distributed energy resources (ders). the virtual power plant (vpp) is a dece...

The γ-condition Smale's point estimate theory a b s t r a c t We introduce the notion of the (one-parameter subgroup) γ-condition for a map f from a Lie group to its Lie algebra and establish α-theory and γ-theory for Newton's method for a map f satisfying this condition. Applications to analytic maps are provided, and Smale's α-theory and γ-theory are extended and developed. Examples arising f...