Let (W,S) be a Coxeter system. An element in W and an ordered list of elements in S give us a subword complex, as defined by Knutson and Miller. We define the “fish product” between an involution in W and a generator in S, which is also discussed by Hultman. This “fish product” always produces an involution. The structure of the involution subword complex ∆̂(Q,w) behaves very similarly to the re...

We consider a time-dependent brane configuration that corresponds to the Q-ball in the effective Lagrangian. We discuss the brane Q-balls, branonium and brane Q-ball inflation, which might have the same origin. We show the allowed parameter regions for these configurations. It is shown that the brane Q-ball looks similar to a conventional Q-ball when it is large, but its decay is dominated by t...

Robots perceiving their environment using cameras usually need a good representation of how the camera is aligned to the body and how the camera is rotated relative to the ground. This is especially important for bearing-based distance measurements. In this paper we show how to use reference objects to improve vision-based distance measurements to objects of unknown size. Several methods for di...

Let K be a convex body in Rd, let j ∈ {1, . . . , d − 1}, and let K(n) be the convex hull of n points chosen randomly, independently and uniformly from K. If ∂K is C2 +, then an asymptotic formula is known due to M. Reitzner (and due to I. Bárány if ∂K is C3 +) for the difference of the jth intrinsic volume of K and the expectation of the jth intrinsic volume of K(n). We extend this formula to ...

For a class of one-dimensional linear elliptic fourth-order equations with homogeneous Dirichlet boundary conditions it is shown that a non-positive and non-vanishing right-hand side gives rise to a negative solution. A similar result is obtained for the same class of equations for radially symmetric solutions in a ball or in an annulus. Several applications are given, including applications to...

In dieser Arbeit wird die technische Effizienz von Biogasanlagen mit Hilfe der Data Envelopment Analyse bestimmt. Als Datengrundlage dient eine Befragung des KTBL bei deutschen Biogasanlagenbetreibern, die sich auf das Jahr 2004 bezieht. Die Auswertung zeigt deutliche Unterschiede in der Produktivität der Anlagen. Als wesentlicher Einflussfaktor stellt sich die Auslastung heraus. 1 Problemstell...

(1.2) \D[zu ..., zn ; B(x, r)]\ > c2(K, e). n < Note that the exponent {\ — (1/2K) e) of n is essentially the best possible: (2 — (1/2K) e) cannot be replaced by the exponent (2 — (1/2K) + e) with e > 0. Note further that (1.1) or (1.2) above guarantees the existence of a ball in U with 'error' very large as compared to that of boxes in U with sides parallel to the axes. We recall that in 1954 ...

In this paper, we introduce a wireless musical interface driven by grasping forces and human motion. The sounds generated by the traditional digital musical instruments are dependent on the physical shape of the musical instruments. The freedom of the musical performance is restricted by its structure. Therefore, the sounds cannot be generated with the body expression like the dance. We develop...

This study explores the effects of haptic feedback on performance and learning by human subjects executing a dynamic task. We present the results of experiments involving the control of a ball and beam. Human subjects perform position targeting of the ball through hand operation of the beam angle. In our dynamic analysis we discuss how this prototype task may be used to test the efficacy of var...

In this article we consider the problem of the optimal distribution of two conducting materials with given volume inside a fixed domain, in order to minimize the first eigenvalue (the ground state) of a Dirichlet operator. It is known, when the domain is a ball, that the solution is radial, and it was conjectured that the optimal distribution of the materials consists in putting the material wi...