This paper describes an approach to knowledge representation for an evolutionary design process. The concept of design schemas is introduced to provide the representational framework for design knowledge. Two kinds of design schemas, the design rule schema and the design gene schema, are proposed to formulate design knowledge and interpret the knowledge into genetic codes. A design problem whic...

We provide a phenomenological theory for topological transitions in restructuring networks. In this statistical mechanical approach energy is assigned to the different network topologies and temperature is used as a quantity referring to the level of noise during the rewiring of the edges. The associated microscopic dynamics satisfies the detailed balance condition and is equivalent to a lattic...

It was shown by F. Riesz [5; 350](2) that every subharmonic function u can be represented as the sum of the potential of its mass distribution plus a harmonic function; the potential appears in the form of a Stieltjes integral (Riesz's theorem is stated in (2.2.1)). We prove that the Stieltjes integral may be replaced by a Lebesgue integral if u is continuous, and if the lower generalized Lapla...

This paper presents a variation of a celebrated result of Kawamura and Cook specifying the least set of information about a continuous function on the unit interval which is needed for fast function evaluation. To make the above description precise, one has to specify what is considered a ‘set of information’ about a function and what ‘fast’ means. Kawamura and Cook use secondorder complexity t...

Frames which can be generated by the action of some operators (e.g. translation, dilation, modulation, ...) on a single element $f$ in a Hilbert space, called coherent frames. In this paper, we introduce a class of continuous frames in a Hilbert space $mathcal{H}$ which is indexed by some locally compact group $G$, equipped with its left Haar measure. These frames are obtained as the orbits of ...

1. Introduction Minimizing costs and maximizing coverage are common goals in many planning contexts. Examples include locating fire stations to guarantee immediate response to calls for service, placing emergency warning sirens to alert the public of impending danger, or siting cellular towers to allow widespread access of wireless broadband. To support these planning problems, spatial optimiza...