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Research Article
How to represent continuous piecewise linear functions in closed form
Article first published online: 8 SEP 2006
DOI: 10.1002/cta.376
Copyright © 2006 John Wiley & Sons, Ltd.
Issue
1097-007X/asset/cover.gif?v=1&s=13eb8a2e2ed6c24e79cf329768925f5e84641270 "International Journal of Circuit Theory and Applications")
International Journal of Circuit Theory and Applications
Volume 34, Issue 6, pages 617–635, November/December 2006
Additional Information
How to Cite
Lum, R. and Chua, L. O. (2006), How to represent continuous piecewise linear functions in closed form. Int. J. Circ. Theor. Appl., 34: 617–635. doi: 10.1002/cta.376
Publication History
- Issue published online: 23 OCT 2006
- Article first published online: 8 SEP 2006
- Manuscript Accepted: 6 APR 2006
- Abstract
- References
- Cited By
Keywords:
- piecewise linear;
- representation theorem;
- closed form
Abstract
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.