: a proposed framework for using topic maps to manage information in blood donation units.
Telecope: An object-oriented architecture for visualization systems.
The 2nd Conference on Digitization
The architecture of software systems and computing curricula.
The beginning of a mathematical simulation theory
The Complexity of Cutting Complexes.
The complexity of retina operators.
The Coverage Model and Its Use in Image Processing
The CUDA implementation of the method of lines for the curvature dependent flows
We study the use of a GPU for the numerical approximation of the curvature dependent flows of graphs - the mean-curvature flow and the Willmore flow. Both problems are often applied in image processing where fast solvers are required. We approximate these problems using the complementary finite volume method combined with the method of lines. We obtain a system of ordinary differential equations which we solve by the Runge-Kutta-Merson solver. It is a robust solver with an automatic choice of the...
The Diamond Tool: a way of effective development and utilization of knowledge
This paper presents the Diamond Tool for knowledge management. The main objective of its specification and implementation was to create a universal and easily extendable tool for efficient work with knowledge. One of its extensions is the eTrium technology. The principal idea behind this technology is to represent explicitly the knowledge used by the information system by means of a knowledge agent built on the Diamond Tool – in contrary to current approaches, where knowledge is present implicitly...
The dimension of graph directed attractors with overlaps on the line, with an application to a problem in fractal image recognition
Consider a graph directed iterated function system (GIFS) on the line which consists of similarities. Assuming neither any separation conditions, nor any restrictions on the contractions, we compute the almost sure dimension of the attractor. Then we apply our result to give a partial answer to an open problem in the field of fractal image recognition concerning some self-affine graph directed attractors in space.
The dynamics of the drum mower blade
The drum mower blade is freely rotatable around the fastening pin. During the operation of the mower, the centrifugal force and the resistance of the mowing material act on it. The presented article studies the effect of these forces on the behavior of the blade, in particular its oscillation around the steady state, depending on the properties of the cut material.
The Educational Use of Mathematical Software: Techniques and Examples
The estimation of electric power losses in electrical networks by fuzzy regression model using genetic algorithm.
This paper presents the comparative study for fuzzy regression model using linear programming, fuzzy regression model using genetic algorithms and standard regression model. The fuzzy and standard models were developed for estimation of electric power losses in electrical networks. Simulation was carried out with a tool developed in MATLAB.
The EuDML Metadata Schema : Version 1.0
After an extensive study of the metadata policy of each of its content partners, the EuDML project evaluated many different strategies and existing schemas that could store every detail faithfully, and yet reserve room for the enhancements foreseen in the project’s work plan. The framework provided by the so-called NLM Journal Archiving and Interchange Tag Suite was selected as best readily available approximation of our needs. Some modifications of it have been endorsed by the project, defining...
The formation of a tree leaf
In this article, we build a mathematical model to understand the formation of a tree leaf. Our model is based on the idea that a leaf tends to maximize internal efficiency by developing an efficient transport system for transporting water and nutrients. The meaning of “the efficient transport system” may vary as the type of the tree leave varies. In this article, we will demonstrate that tree leaves have different shapes and venation patterns mainly because they have adopted different efficient...
The Fourier Analysis of Bezier Curves
The Furthest-Site Geodesic Voronoi Diagram.
The importance of each node in a structure of links: Google-PageRank.
The Influence of Look-Ahead on the Error Rate of Transcription
In this paper we study the error rate of RNA synthesis in the look-ahead model for the random walk of RNA polymerase along DNA during transcription. The model’s central assumption is the existence of a window of activity in which ribonucleoside triphosphates (rNTPs) bind reversibly to the template DNA strand before being hydrolyzed and linked covalently to the nascent RNA chain. An unknown, but important, integer parameter of this model is the window...