Fuzzy polynomial equations (FPEs) don’t have algebraic solutions, generally. In this paper, we first, express and prove some relationships between Husdroof meter and length function on classes of triangular fuzzy numbers. We appraise the behavior of fuzzy polynomials by using the length function properties. Next, we transform a FPE into a generalized fuzzy polynomial equation (GFPE) and introdu...

In this work we present a result on linear diffusion equations with point controls. This is the first partial result obtained along the completion of [5] which includes more general nonlinear diffusion equations. The main focus here is showing how recent variational principles based on Wasserstein metric, used to solve homogeneous diffusion equations, can actually be extended to solving nonhomo...

We consider different generalizations of the Fokker–Planck equation (FPE) devised to describe L evy processes in potential force fields. We show that such generalizations can proceed along different lines. On one hand, L evy statistics can emerge from the fractal temporal nature of the underlying process, i.e., a high variability in the rate of microscopic events. On the other hand, they may be...

We study asymptotic expansions of the smeared L2-traces Fe−tP 2 and FPe−tP 2 , where P is an operator of Dirac type and F is an auxiliary smooth endomorphism. We impose chiral bag boundary conditions depending on an angle θ. Studying the θ-dependence of the above trace invariants, θindependent pieces are identified. The associated stability theorems allow one to show the regularity of the eta f...

A severe palatine disorder caused by maloccluded molars was discovered in captive adult cheetahs at the San Diego Wild Animal Park. This defect has been labeled focal palatine erosion (FPE). Subsequently, a total of 59 cheetahs from several institutions have been examined to evaluate the occurrence and etiology of this disorder. Maloccluded lower molars contacting the palate mucosa appear to be...

A new theoretical approximation for expectation of the prediction error is derived using the same-realization predictions. This approximation is derived for the case that the Least-Squares-Forward (LSF) method (the covariance method) is used for estimating the parameters of the autoregressive (AR) model. This result is used for obtaining modified versions of the AR order selection criteria FPE ...

Climate change policies can regulate greenhouse gases (GHG) at a variety of points in the product cycle of fossil fuels: from fossil fuel suppliers based on the carbon content of extracted fossil resource to nal emitters at the point of energy generation. This paper develops a general equilibrium model with trade between fossil resource abundant countries and capital abundant countries to show ...