Kinetic models for vehicular traffic are reviewed and considered from the point of view of deriving macroscopic equations. A derivation of the associated macroscopic traffic flow equations leads to different types of equations; in certain situations modified Aw-Rascle equations are obtained. On the other hand, for several choices of kinetic parameters new Hamilton-Jacobi type traffic equations ...

As mentioned in the paper, the full derivation of the filtering equation (2.4) is presented in [1]. The derivation in [1] is more general than the context of the paper, and uses very sophisticated mathematical tools. In this appendix we present a simplified outline of this derivation. We are aware that in our particular case of interest, the same results can be derived from discrete-time approx...

Background: The derivation of products from a software product line is a time consuming and expensive activity. Despite recognition that an effective process could alleviate many of the difficulties associated with product derivation, existing approaches have different scope, emphasise different aspects of the derivation process and are frequently too specialised to serve as a general solution....

Let A be an algebra, and let θ, φ be ring automorphisms of A. An additive mapping H : A → A is called a θ, φ -derivation if H xy H x θ y φ x H y for all x, y ∈ A. Moreover, an additive mapping F : A → A is said to be a generalized θ, φ -derivation if there exists a θ, φ derivation H : A → A such that F xy F x θ y φ x H y for all x, y ∈ A. In this paper, we investigate the superstability of gene...

A coordinate independent derivation of the Eulerian and Lagrangian strain tensors of finite deformation theory is given based on the parallel propagator, the world function, and the displacement vector field as a three-point tensor. The derivation explicitly shows that the Eulerian and Lagrangian strain tensors are two-point tensors, each a function of both the spatial and material coordinates....

We study a class of matrix function algebras, here denoted T (Cn). We introduce a notion of point derivations, and classify the point derivations for certain finite dimensional representations of T (Cn). We use point derivations and information about n×n matrices to show that every T (Cn)-valued derivation on T (Cn) is inner. Certain matrix function algebras arise in some standard constructions...

It is shown that a uniform algebra can have nonzero bounded point derivation while having no nontrivial Gleason parts. Conversely, part nonzero, even possibly unbounded, derivations.

The basic Schema Theorem for genetic algorithms is modiied for a grammatically-based learning system. A context-free grammar is used to deene a language in which each sentence is mapped to a tness value. The derivation trees associated with these sentences are used to deene the structure of schemata. The eeect of crossover and mutation on schemata is described. A schema theorem is developed whi...

This paper gives a derivation for the large time asymptotics of the n-point density function of a system of coalescing Brownian motions on R.