Theoretical study of non-Newtonian effects of second-order fluids on the performance characteristics of inclined slider bearings is presented. An approximate method is used for the solution of the highly nonlinear momentum equations for the second-order fluids. The closed form expressions for the fluid film pressure, load carrying capacity, frictional force, coefficient of friction, and centre ...

Heinz von Foerster proposed that the observer should be included in the domain of observation. He suggested that this approach to cybernetics be called second-order cybernetics. Heinz was primarily interested in understanding cognition, based on neurophysiology and mathematics. But there has also been strong interest in cybernetics as a theory of social systems. Using the “second order” idea fo...

This paper addresses problems of second-order cone programming important in optimization theory and applications. The main attention is paid to the augmented Lagrangian method (ALM) for such considered both exact inexact forms. Using generalized differential tools variational analysis, we formulate corresponding version sufficiency use it establish, among other results, uniform growth condition...

We study the problem of comparing ageing patterns lifetimes k-out-of-n systems with i.i.d. components. Mathematically, this reduces to being able decide about a stochastic ordering relationship between different order statistics. discuss such relationships respect second-order dominance, obtaining characterizations through verification relative convexity suitably chosen reference distribution f...