In this paper we introduce a new symmetrization with respect to mixed volume or anisotropic curvature integral, which generalizes the one quermassintegral due Talenti [26] and Tso [28]. We show Pólya-Szegő type principle for such — it diminishes Hessian integral quasi-convex functions. achieve by systematic study of invariants on non-symmetric matrices real eigenvalues higher order mean curvatu...

We define an extension of stit logic that encompasses subjective probabilities representing beliefs about simultaneous choice exertion of other agents. The formalism enables us to express the notion of ‘attempt’ as a choice exertion that maximizes the chance of success with respect to an action effect. The notion of attempt (or effort) is central in philosophical and legal discussions on respon...

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investigating the heritage of the islamic historiography requires case studies of muslim historian`s works in an inductive way so as to be able to show the process and procedure of its appearance, formation, development and finally its stagnancy. the development of islamic historiography has occurred through the three following stages: the first century, the stage of oral narration; the second ...