Deterministic method of data sequence processing
Abstract
A data management system can be separated in typical data processing systems. Unfortunately, relational data management systems are not efficient enough to handle the on-line signal processing task in a monitoring system. The main current in research into database management system model for the needs of monitoring systems is connected with a data stream model. However, these systems are non-deterministic. This paper presents the developed methods of data stream processing for signal processing tasks in medical database management systems, as well as the developed theorems of data sequences (stream) algebra with formal proofs. A direct link between some introduced operators and Beatty and Fraenkel theorems has been proved
Cite
@article{arxiv.2607.10444,
title = {Deterministic method of data sequence processing},
author = {Michal Widera},
journal= {arXiv preprint arXiv:2607.10444},
year = {2026}
}
Comments
18 pages, 1 figure. Author-initiated deposit of the version published in Annales UMCS Sectio AI Informatica, Vol. 4 (2006), pp. 314-331, under a CC BY 4.0 license. Establishes the stream algebra and the Beatty/Fraenkel foundations later developed in arXiv:2607.07730