COMPUTATION OF INVARIANTS IN CONTINUOUS AND DISCRETE MANIFOLDS.
Abstract
Systems capable of identifying objects must be able to detect the properties (invariants) these objects possess. It is shown that property de tecting systems consisting of networks of linear or non-linear elements in parallel may be con structed without accurate point to point connec tions as long as certain constraints on the dis tribution of connectivity among elements in the network are satisfied. The report discusses in three parts a general approach toward ''property detection'' and considers in particular networks capable of detecting acoustical invariants. While the first part ''Computation of Invariants in Linearly Interacting Continua'' considers networks whose elements constitute a continum, the second part ''Kinds of Interaction in Sets of Discrete Linear Elements'' treats discrete networks. In both papers the distinction is made between interaction phenomena within a network and action phenomena from one network to another network. It is shown that under fairly general conditions action and interaction systems are equivalent. The third part ''Simulation of Interaction Func tions on PACE Analog Computer'' is concerned with the simulation of some action and interaction nomena on an analog computer. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1963
- Accession Number
- AD0411300
Entities
People
- Alfred Inselberg
- Heinz Von Foerster
- Raymond Yeh
- Shih-mei Cheng
Organizations
- University of Illinois Urbana–Champaign