Towards Mathematical Knowledge Management for Electrical Engineering

Authors:
Agnieszka Rowinska-Schwarzweller;Christoph Schwarzweller
Affiliations:
Chair of Display Technology, University of Stuttgart, Allmandring 3b, 70569 Stuttgart, Germany;Department of Computer Science, University of Gdańsk, ul. Wita Stwosza 57, 80-952 Gdańsk, Poland
Venue:
Calculemus '07 / MKM '07 Proceedings of the 14th symposium on Towards Mechanized Mathematical Assistants: 6th International Conference
Year:
2007

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Abstract

We explore mathematical knowledge in the field of electrical engineering and claim that electrical engineering is a suitable area of application for mathematical knowledge management: We show that mathematical knowledge arising in electrical engineering can be successfully handled by existing MKM systems, namely by the Mizar system. To this end we consider in this paper network theory and in particular stability of networks. As an example for mathematical knowledge in electrical engineering we present a Mizar formalization of Schur's theorem. Schur's theorem provides a recursive, easy method to check for BIBO-stability of networks.