The above-referenced paper established several findings. After presenting the economic environment where uncertainty results from a Poisson process (Section 2.1), it derived a house-hold’s budget constraint (Section 2.2) and formulated the Bellman equation appropriate for the maximization problem of the household (Section 2.3). Section 3 derived first-order conditions that determine optimal con...

Forest fires represent a quite complex environment and an accurate prediction of the fires generated is crucial when trying to react quickly and effectively in such a critical situation. In this study, an hybrid system is applied to predict the evolution of forest fires. The Case-Based Reasoning methodology combined with a summarization of SOM ensembles algorithm has been used to face this prob...

This paper aims at building a unified framework to deal with a wide class of local and nonlocal translation-invariant geometric flows. We introduce a class of nonlocal generalized mean curvatures and prove the existence and uniqueness for the level set formulation of the corresponding geometric flows. We then introduce a class of generalized perimeters, whose first variation is an admissible ge...

We consider a bivariate diffusion process and we study the first passage time of one component through a boundary. We prove that its probability density is the unique solution of a new integral equation and we propose a numerical algorithm for its solution. Convergence properties of this algorithm are discussed and the method is applied to the study of the integrated Brownian Motion and to the ...

In recent years, Fuzzy differential equations are very useful indifferent sciences such as physics, chemistry, biology and economy. It should be noted, that if the equations that appear to be uncertain, then take help of fuzzy logic at these equations. Considering that most of the time analytic solution of such equations and finding an exact solution has either high complexity or cannot be solv...

In this paper we present the theoretical framework for enumerating the solutions of the Diophantine equation (1) that helps us define the sets of points, of a nested loop, that can be executed in parallel. The analytical expression for finding those points is given below: + + + = 1 2 ... n i i i c (1) where i1, i2,..., in, ≤ ≤ ∀ = 0 , 1 ... p p i L p n are the loop indices, Lp is the loop bound...

Within 30 minutes of the administration of his first dose of timolol ophthalmic solution, a 67-year-old man with stable chronic obstructive pulmonary disease experienced severe dyspnea leading to respiratory arrest. He recovered after endotracheal intubation and mechanical ventilation. Patients with bronchospastic pulmonary disease who are candidates for therapy with timolol ophthalmic solution...

Armani et al.

An explicit time-stepping method is developed for adaptive solution of time-dependent partial differential equations with first order derivatives. The space is partitioned into blocks and the grid is refined and coarsened in these blocks. The equations are integrated in time by a Runge-KuttaFehlberg method. The local errors in space and time are estimated and the time and space steps are determ...

Melanotan II is a synthetic cyclic heptapeptide used to prevent a sunlight-induced skin cancer by stimulating the skin tanning process. In this paper we report the first solution phase synthesis of the title compound. The hexapeptide sequence has been assembled by [(2+2)+1+1] scheme. After removing the orthogonal protection, a carbodiimide mediated lactamization, involving the epsilon-amino gro...