The specific force equation has many applications in open channel flow problems. Quantifying of the hydraulic jump phenomenon is an important application of this equation. This equation has a direct solution only for the rectangular channels. The trial and error procedure as well as the graphical solution are the existing methods of solving hydraulic jump equations. No direct solutions are avai...

The interest is in models of integer-valued height functions on shift-invariant planar graphs whose maximum degree three. We prove delocalisation for induced by convex nearest-neighbour potentials, under the condition that each potential function an excited potential, is, a symmetric $V$ with property $V(\pm1)\leq V(0)+\log2$. Examples such include discrete Gaussian and solid-on-solid at invers...

This paper contains an account of arbitrary cubic function fields of characteristic three. We define a standard form for an arbitrary cubic curve and consider its function field. By considering an integral basis for the maximal order of these function fields, we are able to calculate the field discriminant and the genus. We also give explicit algorithms for ideal arithmetic which for certain cu...

Moslehian  and Mirmostafaee, investigated the fuzzystability problems for the Cauchy additive functional equation, the Jensen additivefunctional equation and the cubic functional equation in fuzzyBanach spaces. In this paper, we investigate thegeneralized Hyers–-Ulam--Rassias stability of the generalizedadditive functional equation with $n$--variables, in fuzzy Banachspaces. Also, we will show ...

A new hypersurface of Tzitzeica type is obtained in all three forms: parametric, implicit and explicit. To a two-parameters family of cubic Tzitzeica surfaces we associate a cubic Finsler function for which the regularity is expressed as the non-flatness of the Tzitzeica indicatrix. A natural relationship is obtained between cubic Tzitzeica surfaces and three-dimensional Berwald spaces with cub...

most regions of iran are confronted with inadequate supply and excessive demand of water in agriculture sector mainly resulting from a high difference between water providing cost and its price. coping with such a challenge needs to determine the water price based on the economic principles and its value in agricultural production. the aim of this study was to determine the economic value of th...