How to represent continuous piecewise linear functions in closed form

This paper presents a simple approach to representing continuous piecewise linear functions in closed form for arbitrary dimensions. The absolute value function is used to embed non‐linearity, its usage increasingly nested as the dimension is increased. Copyright © 2006 John Wiley & Sons, Ltd....

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Veröffentlicht in:	International journal of circuit theory and applications 2006-11, Vol.34 (6), p.617-635
Hauptverfasser:	Lum, Robert, Chua, Leon O.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences closed form Electric, optical and optoelectronic circuits Electronics Exact sciences and technology piecewise linear representation theorem Theoretical study. Circuits analysis and design
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Beschreibung
Zusammenfassung:	This paper presents a simple approach to representing continuous piecewise linear functions in closed form for arbitrary dimensions. The absolute value function is used to embed non‐linearity, its usage increasingly nested as the dimension is increased. Copyright © 2006 John Wiley & Sons, Ltd.
ISSN:	0098-9886 1097-007X
DOI:	10.1002/cta.376