The numerical simulation of free-surface flows around sailing boats is a complex topic that addresses multiple mathematical tasks: the correct study of the flow field around a rigid hull, the numerical simulation of the hull dynamics, the deformation of the sails and appendages under transient external conditions like gusts of wind or wave patterns and, overall, the coupling among all these com...

be a Laurent polynomial over a field k. The convex hull of the set {(ii,. . . , i,)~ Z” : a i,...i. f 0) in R” is called the Newton polyhedron of F and will be denoted by 4~. Following Hovanskii [S] we say that F is nondegenerate if for any face d’ of AF the hypersurface C~i,...,.in)Ed,Ui,...i,Xill * * * xi = 0 is non-singular in F*” (Eis the algebraic closure of the field k). The main result o...

Let P1, . . . , Pd+1 ⊂ R be d-dimensional point sets such that the convex hull of each Pi contains the origin. We call the sets Pi color classes, and we think of the points in Pi as having color i. A colorful choice is a set with at most one point of each color. The colorful Carathéodory theorem guarantees the existence of a colorful choice whose convex hull contains the origin. So far, the com...

In this paper, we study the (geodesic) hull number of graphs. For any two vertices u, v ∈ V of a connected undirected graph G = (V,E), the closed interval I[u, v] of u and v is the set of vertices that belong to some shortest (u, v)-path. For any S ⊆ V , let I[S] = ⋃ u,v∈S I[u, v]. A subset S ⊆ V is (geodesically) convex if I[S] = S. Given a subset S ⊆ V , the convex hull Ih[S] of S is the smal...

‎in this paper‎, ‎we construct a new iterative method for solving nonlinear volterra integral equation of second kind‎, ‎by approximating the legendre polynomial basis‎. ‎error analysis is worked using banach fixed point theorem‎. ‎we compute the approximate solution without using numerical method‎. ‎finally‎, ‎some examples are given to compare the results with some of the existing methods‎.

this study was conducted to assess the in vitro organic matter digestibility (omd) of pistachio hull using rumen fluid of taleshi sheep. animals were fed diets composed of 34% pistachio hull, 29% grape pomace, 32% alfalfa, and 5% grain barley. the chemical composition and phenolics' levels of pistachio hull, either industrially dried pistachio hull (idph) or sun dried pistachio hull (sdph)...