Extended abstract frameworks separate conflicts and preference between arguments. These elements are combined to induce argument defeat relations. A proper defeat is consequence of preferring an argument in a conflicting pair, while blocking defeat is consequence of incomparable or equivalent-in-strength conflicting arguments. As arguments interact with different strengths, the quality of sever...

In this chapter, the strong and weak forms for several one-dimensional physical problems are developed. Thestrong formconsists of thegoverningequationsand theboundaryconditions for aphysical system.The governingequations areusuallypartial differential equations, but in theone-dimensional case theybecome ordinary differential equations. The weak form is an integral form of these equations, which...

In this paper, a discontinuity in beams whose intensity is adjusted by the spring stiffness factor is modeled using a torsional spring. Adapting two analyses in strong and weak forms for discontinuous beams, the improved governing differential equations and the modified stiffness matrix are derived respectively. In the strong form, two different solution methods have been presented to make an a...

in this article we study two different generalizations of von neumann regularity, namely strong topological regularity and weak regularity, in the banach algebra context. we show that both are hereditary properties and under certain assumptions, weak regularity implies strong topological regularity. then we consider strong topological regularity of certain concrete algebras. moreover we obtain ...

In many Internet scale replicated system, not all replicas can be dealt with in the same way, since some will be in greater demand than others. In the case of weak consistency algorithms, we have observed that updating first replicas having most demand, a greater number of clients would gain access to updated content in a shorter period of time. In this work we have investigated the benefits th...

In this article we study two different generalizations of von Neumann regularity, namely strong topological regularity and weak regularity, in the Banach algebra context. We show that both are hereditary properties and under certain assumptions, weak regularity implies strong topological regularity. Then we consider strong topological regularity of certain concrete algebras. Moreover we obtain ...