SUMMARY This paper presents an extension of Lighthill, Whitham and Richards' dynamic traffic flow model (LWR) to a number of vehicle classes. Each class will be described by a separate fundamental diagram. When the various diagrams are similar in shape a scaling can be carried out that is related to the passenger-car equivalents. We present both an analytical framework and a numerical computati...

1 This work has been supported in part by Found of Fundamental Investigations (Republic of Belarus), Grant ‹M96-094. Abstract A design of multiple-valued circuits based on the multiple-valued programmable logic arrays (MV PLA’s) by generalized disjunctive decomposition is presented. Main subjects are 1) Generalized disjunctive decomposition of multiple-valued functions using multiple-terminal m...

There’s no easy way for a coder to visually describe software in software. The closest thing is graphviz[1], which isn’t an inherently visual or intuitive language[2]. The way to solve this would be to find the fundamental visual elements of software diagrams, then write an intuitive language to generate them. Ideally untrained readers would be able to easily read either the source code or the ...

It is shown that the euclidean origin of the instanton leads to the appearence of a large imaginary part in some diagrams for hadron production in quark-quark scattering. This phenomenon and instanton–induced quark spin-flip give the fundamental QCD mechanism for the observed large single-spin asymmetries in hadron-hadron and lepton-hadron interactions. 1 Talk presented at the Workshop ”Polariz...

In this paper, we show that a class of 2-dimensional locally CAT(-1) spaces is topologically rigid: isomorphism of the fundamental groups is equivalent to the spaces being homeomorphic. An immediate application of this result is a diagram rigidity theorem for certain amalgamations of free groups. The direct limit of two such amalgamations are isomorphic if and only if there is an isomorphism be...

Translating the complex, multi-dimensional data from simulations of biomolecules to intuitive knowledge is a major challenge in computational chemistry and biology. The so-called “free energy landscape” is amongst the most fundamental concepts used by scientists to understand both static and dynamic properties of biomolecular systems. In this paper we use Markov models to design a strategy for ...

In this paper we study proximity structures like Delaunay triangulations based on geometric graphs, i.e. graphs which are subgraphs of the complete geometric graph. Given an arbitrary geometric graph G, we define several Voronoi diagrams, Delaunay triangulations, relative neighborhood graphs, Gabriel graphs and then study their complexities when G is a general geometric graph or G is some speci...

We propose and study a one-dimensional traffic flow cellular automaton model of high-speed vehicles with the Fukui–Ishibashi-type (FI) acceleration rule for all cars, and the Nagel–Schreckenberg-type (NS) stochastic delay mechanism. We obtain analytically the fundamental diagrams of the average speed and vehicle flux depending on the vehicle density and stochastic delay probability. Our theoret...

In this paper, we show that a class of 2-dimensional locally CAT(-1) spaces is topologically rigid: isomorphism of the fundamental groups is equivalent to the spaces being homeomorphic. An immediate application of this result is a diagram rigidity theorem for certain amalgamations of free groups. The direct limits of two such amalgamations are isomorphic if and only if there is an isomorphism b...

The development of the idea of seeing parts of the world as ‘related objects’ or the ‘systemic view’ and its relation to conventional science is briefly described. Concepts in the systemic view regarded as fundamental and their expression as linguistic and mathematical models which would turn this view into ‘systems science’, are introduced. Products are represented as sets and linguistic netwo...