Representation (systemics)

About: Representation (systemics) is a research topic. Over the lifetime, 33821 publications have been published within this topic receiving 475461 citations.

Quasi-free “second quantization”

Abstract: Araki and Wyss considered in 1964 a mapA→Q(A) of one-particle trace-class observables on a complex Hilbert-space ℋ into the fermionC*-algebraU(ℋ) over ℋ. In particular they considered this mapping in a quasi-free representation.

Influence of Design Representation on Effectiveness of Idea Generation

Abstract: The issue being investigated is the role of the type of representation used for recording design ideas in idea generation techniques for conceptual design. An empirical study was conducted to test the hypothesis that graphical (pictorial) representation is better than textual (sentential) for recording of design ideas. This study used a standard set of outcome measures: fluency, quality, novelty, and variety of ideas generated by use of different representations. The expressiveness of each representation was also studied by examining the ability to convey key design information of an idea. The experiment was designed and data analyzed based on the principles of statistical DOE. The study confirms the hypothesis that graphical representation provide greater benefits for engineering design idea generation than textual representation.

Gabor Wavelet Networks for Object Representation

Abstract: In this article we want to introduce first the Gabor wavelet network as a model based approach for an effective and efficient object representation. The Gabor wavelet network has several advantages such as invariance to some degree with respect to translation, rotation and dilation. Furthermore, the use of Gabor filters ensured that geometrical and textural object features are encoded. The feasibility of the Gabor filters as a model for local object features ensures a considerable data reduction while at the same time allowing any desired precision of the object representation ranging from a sparse to a photo-realistic representation. In the second part of the paper we will present an approach for the estimation of a head pose that is based on the Gabor wavelet networks.

An extension and analysis of the Shu-Osher representation of Runge-Kutta methods

Abstract: In the context of solving nonlinear partial differential equations, Shu and Osher introduced representations of explicit Runge-Kutta methods, which lead to stepsize conditions under which the numerical process is total-variation-diminishing (TVD). Much attention has been paid to these representations in the literature. In general, a Shu-Osher representation of a given Runge-Kutta method is not unique. Therefore, of special importance are representations of a given method which are best possible with regard to the stepsize condition that can be derived from them. Several basic questions are still open, notably regarding the following issues: (1) the formulation of a simple and general strategy for finding a best possible Shu-Osher representation for any given Runge-Kutta method; (2) the question of whether the TVD property of a given Runge-Kutta method can still be guaranteed when the stepsize condition, corresponding to a best possible Shu-Osher representation of the method, is violated; (3) the generalization of the Shu-Osher approach to general (possibly implicit) Runge-Kutta methods. In this paper we give an extension and analysis of the original Shu-Osher representation, by means of which the above questions can be settled. Moreover, we clarify analogous questions regarding properties which are referred to, in the literature, by the terms monotonicity and strong-stability-preserving (SSP).