In this paper, we will give a global existence theorem in one-dimensional thermoelasticity with second sound in R. For this purpose, we first give the decay rates of the linearized equations with the help of Fourier sine and cosine transformation and the local existence theorem using theorems for quasi-linear symmetric hyperbolic systems. Then we establish some estimates in L, L and L∞ norms to...

In this article we present a prototype tool for the modelling of natural elements based on procedural modelling using Random L-systems, or RL-systems. RL-systems are L-systems which are extended using random variables, which permits us to obtain different individuals of the same species based on the same system. The proposed tool is flexible, easily modifiable and extensible due to its implemen...

Based on the improvement of Open L-system, this paper presents a four-layer model of plant growth visualization. Take Radix Isatidis for example, the paper carries on morphologic model of its base leaves growing period and eco-physiological model about temperature and growth rate. The prototype system design and development are also discussed on the base of this four-layer model. The results sh...

Article history: Received 17 March 2011 Received in revised form 24 November 2011 Accepted 29 November 2011 Available online 7 December 2011

In the present paper, synchronous, tabled chain code picture systems based on Lindenmayer systems (sT0L system) are studied with respect to the finiteness of their picture languages. The finiteness is proved to be decidable. Additionally, a method is given for deciding whether or not an sT0L system generates a finite picture language. © 2006 Elsevier B.V. All rights reserved.

In these notes we survey applications of L-systems to the modeling of plants, with an emphasis on the results obtained since the comprehensive presentation of this area in The Algorithmic Beauty of Plants [61]. The new developments include: a better understanding of theoretical issues pertinent to graphical applications of Lsystems, extensions to programming techniques based on L-systems, and a...

The effect of phenotypic complexity on distance correlation plots is investigated for two developmental mappings, a mapping based on L-systems, and a 2D cellular automata mapping. Our treatment of complexity is based on the theory of Kolmogorov complexity. A new genotype sampling algorithm called Crossection Walk is introduced.

The qualitative natures of the transient behaviours of the waiting times in a GI/G/l system are studied first, when the waiting time of the initial customer is v. For instance, it is shown that the mean waiting time is increasing in n only when v < l for some l. Next this paper gives a way of calculating exact values of the mean waiting time of the n-th arrival in M/M/l and M/D/l and further pr...