Functional Vector Space

DS 58-2: Proceedings of ICED 09, the 17th International Conference on Engineering Design, Vol. 2, Design Theory and Research Methodology, Palo Alto, CA, USA, 24.-27.08.2009

Year: 2009
Editor: Norell Bergendahl, M.; Grimheden, M.; Leifer, L.; Skogstad, P.; Lindemann, U.
Author: Fantoni, Gualtiero; Apreda, Riccardo; Bonaccorsi, Andrea
Series: ICED
Section: Design Theory and Research Methodology
Page(s): 311-322


Recent developments in Functional Analysis witness the emergence of a new paradigm. Formal models seem destined to replace the standard taxonomical and descriptive approaches. In this paper we propose a new representation of the function space as a vector space. After discussing the rationale for the introduction of a formal architecture, we construct the vector space of functions (actions on flows) and individuate in physical and logical laws the ground for its generating vector basis. Finally, we discuss some key and unresolved issues and open several avenues for further research in the exciting and fast moving field of formal modelling of function spaces.

Keywords: Functional Analysis, Functional Vector Space, Vector Modelling


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