… The idea is based on zonotope approach by G. Koshevoy, H. Oja and others, see [4, 5]. …
Their proposal is based on geometric properties of the zonotope, a certain affine construction …

… xq in a zonotope Z1, enclose Bη/2(x q ) in a different zonotope Z2, and use results in [7] (see
also Proposition 7.31 in [20]) for a given uq ∈ Uq to obtain another zonotope Zkτ (xq,uq,x …

… of zonotopes, which we can state as follows: A zonotope Q2 extends a zonotope Q1 … is
necessary and sufficient that Q be a limit of zonotopes extending each other. As far as we …

… Again, we would like to understand the set of all zonotopal tilings of a zonotope. For this, let
us use the same trick and look at small zonotopes that have only two distinct tight zonotopal …

… To overcome this difficulty, we need to make use of a suitable zonotope. This is the key idea
… The zonotope generated by a finite set E ⊂ R n is the polytope Z ≔ zone ( E ) ≔ conv { ∑ e …

We define several abstract semantics for the static analysis of finite precision computations,
that bound not only the ranges of values taken by numerical variables of a program, but also …

… Baladze [1] proved that in the class of zonotopes him K ≤ k iff K can be decomposed into
the direct sum of at most k dimensional zonotopes. (For the more general class of belt bodies …

… M(v)is also a zonotope, ie the Minkowski (vector) sum of a finite number of line segments;
see [15] for this results and a treatment of zonotopes. Finally, we mention that the set of …

… PF is called a graphical zonotope. The edge graphs of graphical zonotopes were studied by
… degrees of the vertices of a fixed graphical zonotope must be a set of consecutive integers. …

… The Radon partitions of a set Α of d+ 2+ k points in Rd correspond to the faces of a k-dimensional
zonotope. Every point in the boundary of this zonotope corresponds to a (normalized) …