We tackle the problem of a combinatorial classification of finite metric spaces via their
fundamental polytopes, as suggested by Vershik in 2010 [21], with a view towards applications in …

… Xk as a zonotope with the center cx,k and the shape matrix Rx,k such Xk = 〈cx,k,Rx,k〉,
the zonotopic state at the next time instant k + 1 defined as Xk+1 is bounded by a zonotope …

… However, from (1c), we know that it is easy to obtain a box to bound a zonotope ie we can
easily obtain the upper and lower bounds of the zonotope. Therefore, it is more efficient to use …

… poset des régions, en donnant ses relations de couverture, en utilisant les covecteurs du
matroïde orienté associé à l'arrangement et en utilisant la structure géométrique d'un zonotope …

… The prediction step uses the state zonotope at the previous time instant, the zonotopes of …
to produce a prediction zonotope. In the update step, the prediction zonotope is combined with …

We describe the cone of deformations of a Coxeter permutahedron, or equivalently, the nef
cone of the toric variety associated to a Coxeter complex. This class of polytopes contains …

… Q]Bd, where the symbol ↓d (·) denotes the reduction of the order of a zonotope r to d, ˆHT is
… Thus, we propose to use the notion of interval hull of zonotopes here to obtain the interval of …

… In 2017, Deza, Manoussakis, and Onn [15] introduced a lower bound that is achieved by a
family of lattice zonotopes, referred to as primitive zonotopes. They proved that δ(d,k) ≥ ⌊(k +…

… The set representations that are currently supported are intervals, zonotopes, zonotope
bundles, polynomial zonotopes, and polytopes. CORA also realizes the conversion between the …

… This procedure generates the strip constraints S,, which describe the relationships between
all model relations and define the Cartesian equations of the frontiers of the zonotope. …