Every F-probability (= coherent probability) F on a finite sample space Ωk with k elements defines a set of classical probabilities in accordance with the interval limits. This set, called “structure” of F , is a convex polytope having dimension ≤ k−1. We prove that the maximal number of vertices of structures is exactly k!.

PURPOSE The 4π static non-coplanar radiotherapy delivery technique has demonstrated better normal tissue sparing and dose conformity than the clinically used volumetric modulated arc therapy (VMAT). It is unclear whether this is a fundamental limitation of VMAT delivery or the coplanar nature of its typical clinical plans. The dosimetry and the limits of normal tissue toxicity constrained dose ...

objective: self-harm was classified to show forms like non-suicidal self injury and indirect risky behaviors and drug abuse. the aims of this study were to compare suicidal tendencies indexes and difficulty in emotion regulation skills in mixed groups of adolescents with direct and indirect forms of self-harm. methods: in a casual-comparative design from population of delinquent adolescents det...

The intermittent connectivity between nodes to transfer data is exploited using Disruption tolerant networks (DTNs).DTNs are susceptible to flood attacks which limits the network resources. A technique to detect a node has violated its rate limits. Although it is easy to detect the violation of rate limit on the internet and in telecommunication networks where the egress router and base station...

We derive a Maximum Principle for optimal control problems with constraints given by the coupling of a system of ODEs and a PDE of Vlasov-type. Such problems arise naturally as Γ-limits of optimal control problems subject to ODE constraints, modeling, for instance, external interventions on crowd dynamics. We obtain these first-order optimality conditions in the form of Hamiltonian flows in the...

The electric power generation-transmission-distribution grid in developed countries constitutes a large system that exhibits a range of dynamic phenomena. Stability of this system needs to be maintained even when subjected to large low-probability disturbances so that the electricity can be supplied to consumers with high reliability. Various control methods and controllers have been developed ...

Control of wellbore pressure during drilling operations has always been important in the oil industry as this can prevent the possibility of well blowout. The present research employs a combination of automatic process control and statistical process control for the first time for the identification, monitoring, and control of both random and special causes in drilling operations. To this end, ...