computing devices (the characterization was then improved and more exten-sively explained by W. Sieg in [34], [35]) and by N. De Pisapia in [11] to model abstractneural nets. The cortex models presented in the papers quoted above are described in the language ofhereditarily finite sets in Sections 2 and 3 of the present paper, where the links betweenthe mentioned cortex aspects ...

In this paper, we prove Hyers-Ulam-Rassias stability of $C^*$-ternary algebra homomorphism for the following generalized Cauchy-Jensen equation $$eta mu fleft(frac{x+y}{eta}+zright) = f(mu x) + f(mu y) +eta f(mu z)$$ for all $mu in mathbb{S}:= { lambda in mathbb{C} : |lambda | =1}$ and for any fixed positive integer $eta geq 2$ on $C^*$-ternary algebras by using fixed poind alternat...

The paper deals with the Darboux problem for the equation Dxyz(x, y) = f(x, y, z(x,y)) where z(x,y) is a function defined by z(x,y)(t, s) = z(x + t, y + s), (t, s) ∈ [−a0, 0]× [−b0, 0]. We construct a general class of difference methods for this problem. We prove the existence and uniqueness of solutions to implicit functional difference equations by means of a comparison method; moreover we gi...

Background: This study evaluates dosimetric and spatial variations in inter–fraction applicator positioning in high dose rate (HDR) brachytherapy. Materials and Methods: This study includes 25 retrospective patients of carcinoma of the cervix. Each patient received 5 fractions of HDR intracavitary brachytherapy. High Risk-Clinical Target Volume (HR-CTV) were drawn on CT images. First impl...

and Applied Analysis 3 From (A0), (17), (19), (20), and the first equation of system (6), we have x (n+1) = n ∑ τ=−∞ β (τ) 󵄨󵄨󵄨󵄨y (τ) 󵄨󵄨󵄨󵄨 μ−2 y (τ) n ∏ s=τ [1−α (s)] −1 , ∀n∈Z, (21) x (n+1) =− +∞ ∑ τ=n+1 β (τ) 󵄨󵄨󵄨󵄨y (τ) 󵄨󵄨󵄨󵄨 μ−2 y (τ) τ−1 ∏ s=n+1 [1−α (s)] , ∀n∈Z. (22) Combining (19) with (21), one has |x (n + 1)| ν = 󵄨󵄨󵄨󵄨󵄨󵄨󵄨 n ∑ τ=−∞ β (τ) 󵄨󵄨󵄨󵄨y (τ) 󵄨󵄨󵄨󵄨 μ−2 y (τ) n ∏ s=τ [1 − α (s)] −1 󵄨󵄨󵄨󵄨󵄨󵄨...

The classical water wave problem concerns the irrotational flow of a perfect fluid of unit density subject to the forces of gravity and surface tension. The fluid motion is described by the Euler equations in a domain bounded below by a rigid horizontal bottom {y = −h} and above by a free surface which is described as a graph {y = η(x, z, t)}, where the function η depends upon the two horizonta...

We present the leading unpolarized and single spin asymmetries in inclusive two-hadron production in electron-positron annihilation at the Z pole. The azimuthal dependence in the unpolarized differential cross section of almost back-to-back Ž . hadrons is a leading cos 2f asymmetry, which arises solely due to the intrinsic transverse momenta of the quarks. An extensive discussion on how to meas...

In this study, the mutil-objective optimization was applied for surface grinding process of SAE420 steel. The aluminum oxide wheels that were grooved by 15 grooves, 18 and 20 grooves used in experimental process. Taguchi method to design matrix. Four input parameters chosen each experiment number cylinder wheel, workpiece velocity, feed rate, cutting depth. output measured machining roughness, ...