We provide an explicit description of the convex hull of the set of matrices of bounded rank, restricted to balls for the spectral norm. As applications, we deduce two relaxed forms of the rank function restricted to balls for the spectral norm: one is the quasiconvex hull of this rank function, another one is the convex hull of the rank function, thus retrieving Fazel's theorem (2002). Key-wor...

We study the complexity of computing the mixed-integer hull conv(P ∩ Z ×R) of a polyhedron P . Given an inequality description, with one integer variable, the mixed-integer hull can have exponentially many vertices and facets in d. For n, d fixed, we give an algorithm to find the mixed integer hull in polynomial time. Given P = conv(V ) and n fixed, we compute a vertex description of the mixed-...

We propose a hull operator, the reflex-free hull, that allows us to define a 3D analogue to bays in polygons. The reflex-free hull allows a rich set of topological types, yet for polyhedral input with n edges, it remains a polyhedral set with O(n) edges. This is in contrast to other possible hull definitions that give non-planar surfaces and higher combinatorial complexity. The reflex-free hull...

abstract: this study was conducted to investigate the effects of diets containing different levels of hull-less barley on caecal microflora of broiler chicks. two hundred and forty one-day old male broiler chicks (arbor acres strain) were used in a completely randomized design with 4 tratments, and 3 replicates were allocated to each treatment. different levels of hull-less barley in diets had ...

This article gives an overview of the concept of the Visual Hull and what its advantages and disadvantages are. The Visual hull is a concept of a 3D reconstruction by a Shape-From-Silhouette (SFS) technique. This kind of 3D scene reconstruction first has been introduced by Baumgart in his PhD thesis in 1974 [1]. Since then there have been several different variations of the Shape-From-Silhouett...

A set S of vertices of a connected graph G is convex, if for any pair of vertices u, v ∈ S , every shortest path joining u and v is contained in S . The convex hull CH(S ) of a set of vertices S is defined as the smallest convex set in G containing S . The set S is geodetic, if every vertex of G lies on some shortest path joining two vertices in S, and it is said to be a hull set if its convex ...

In this paper, a CFD analysis on the bare hull form of submarines or torpedoes for minimizing the resistance is represented. There are several parameters in submarine form design which the most important parameter is resistance. All operational characteristics of submarines are related to the resistance, related required power and then, underwater speed and range. Other parameters are only ment...