We review some topics in the mathematical theory of nonlinear diffusion. Attention is focused on the porous medium equation and the fast diffusion equation, including logarithmic diffusion. Special features are the existence of free boundaries, the limited regularity of the solutions and the peculiar asymptotic laws for porous medium flows, while for fast diffusions we find the phenomena of fin...

—Based on incremental amplify-and-forward (IAF) relaying scheme, the exact closed-form outage probability (OP) expressions of the multiple-mobile-relay-based mobile-tomobile (M2M) cooperative networks with relay selection over N-Nakagami fading channels are derived in this paper. Then the OP performance under different conditions is evaluated through numerical simulations. The numerical simula...

The average symbol error probability (ASEP) of multiple-mobile-relay-based mobile-tomobile (M2M) system with decode-and-forward (DF) relaying over N-Nakagami fading channels is investigated in this paper. The moment generating function (MGF) method is used to obtain the ASEP of various modulation techniques. Then the ASEP performance under different conditions is evaluated through numerical sim...

In this paper we study generalized possibility and necessity measures on MV-algebras of [0, 1]valued functions (MV-clans) in the framework of idempotent mathematics, where the usual field of reals R is replaced by the max-plus semiring Rmax. We prove results about extendability of partial assessments to possibility and necessity measures, and we characterize the geometrical properties of the sp...

Using space-filling curves to order multidimensional data has been found to be useful in a variety of application domains. This paper examines the space-filling curve induced ordering of multidimensional data that has been transformed using shape preserving transformations. It is demonstrated that, although the orderings are not invariant under these transformations, the probability of an order...

The use of an infinity fluctuating paths least time that are compatible with the quantum mechanics indeterminacy provides a new interpretation in geometrical optic interference pattern Young’s double slit experiment, which suggests wave behavior matter and radiation is dictated by space-time geodesics. Moreover, association function to each path as probability amplitude together uncertainty for...

background: the purpose of this work is to discover and analyze errors and incidents in some radiotherapy centers, and to introduce methods that could reduce their occurrences, especially those which had happened due to the use of improper and inadequate equipment. this work is a first step toward clarifying the role of education in a risk-conscious culture, and changing the attitude of radioth...

Abstract The conditional probability formula is supposed to reflect the correct updating of assignments when new information incorporated. Starting from a non-atomic measure, it proved that provides only transformed measure satisfying “minimum requirement” relational assumption. This result applies standard Bayesian parametric model.