We point out that a geometric measure of quantum entanglement is related to the matrix permanent when restricted to permutation invariant states. This connection allows us to interpret the permanent as an angle between vectors. By employing a recently introduced permanent inequality [Carlen, Loss and Lieb, Meth. and Appl. of Analysis, 13 (2006), no. 1, 1–17], we can write combinatorial formulas...

The design process supported by present CAD tools tends to be component oriented rather than dealing with a product as a whole. Furthermore, design evaluation tools often need complete product descriptions to give meaningful results. Presented here is a brief exposition of the architecture and capabilities of an Assembly-oriented Design environment that is currently being developed. It will all...

All over the world it can be noticed that the product miniaturisation is a central theme in product development for different application areas. In robotics scientific research one of the most important approaches is concerning the raise of the positioning accuracy by the use of parallel structures. The progress of the industrial production, especially the development of the industrial robotics...

The compression of CAD models is a key technology for realizing Internet-based collaborative product development because big model sizes often prohibit us to achieve a rapid product information transmission. Although there exist some algorithms for compressing discrete CAD models, original precise CAD models are focused on in this paper. Here, the characteristics of hierarchical structures in C...

Digital Mock-ups (DMUs) are widespread and form a common basis for product description. However, DMUs produced by industrial CAD systems essentially contain geometric models and their exploitation often requires new input data to derive various simulation models. In this work, analysis and reasoning approaches are developed to automatically enrich DMUs with functional and kinematic properties. ...

The paper discusses the evolution of product information exchange from point-to-point exchange of geometry between Computer-aided Design (CAD) tools through today’s suite of tools and processes of Computer-aided Product Development (CAPD) to the future fully integrated Computer-aided Product Realization (CAPR) process. The categories of processes and the layers of information exchange are revie...

The process of modeling geometric objects often entails modifica­ tion of a portion of a surface--a subsurface-which is part of a larger geometric shape. Most geometric modeling applications do not pro­ vide an interface that allows for user specification of arbitrarily shaped subsurfaces. We have developed two polygonal modeling applications which overcome this limitation. They employ an inter...

Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends By Pascal Philipp We study the spectral theory of asymptotically hyperbolic manifolds with ends of warped-product type. Our main result is an upper bound on the resonance counting function, with a geometric constant expressed in terms of the respective Weyl constants for the core of the manifold and the base ...

Generative Process Planning systems provide a powerful means of generating manufacturing process plans from a product model. However, the vast majority of current commercial and experimental systems are limited in several ways: they tend to be specialized for metal-machining processes, they tend to focus on one state of the product at a time, and in general they lack an intelligent product mode...