The semi-discrete convolution with the box spline is an important tool in approximation theory.
We give a formula for the difference between semi-discrete convolution and convolution …

… From (1c), we know that a zonotope can be bounded by a box. Then, we can obtain the
interval estimation of the state including the upper bound xk and lower bound xk, which can be …

… We derive a geometric characterization of the set: we show that it is a zonotope in the
parameter space. We show that even for models with a small number of regression parameters …

… is bounded by a zonotope and propagated to the residuals determining their alarm limits
bounded by a zonotope as well. When the residuals are outside of the zonotope that define the …

… A Minkowski sum of (finitely many) line segments in Rn is called a zonotope (see [9,15,16]
for basic facts on zonotopes). We shall consider zonotopes that are sums of line segments of …

… To simplify the notation, we will sometimes write a zonotope as a matrix, where the first … the
generators of the zonotope. Figure 1 shows several examples of zonotopes together with their …

… hull of faulty zonotope and invariant zonotopes. This … the zonotope instead of the zonotope
for reducing the computational complexity) to generate the segments of the residual zonotope. …

… Motivated by these observations, we propose a generalization of the definition for constrained
zonotopes recently introduced in the literature to also consider the i2 norm and cones (or …

… We find an explicit Sn-equivariant bijection between the integral points in a certain zonotope
in Rn, combinatorially equivalent to the permutahedron, and the set of m-parking functions …

… construction of a zonotope". To add the ith segment zi to the Minkowski sum, we sweep
the current zonotope parallel to zi and then take the swept volume as the new zonotope. If we …