Title

Computation Of Invariants In Continuous And Discrete Manifolds

Date

1963

Index Abstract

Not Available

Photo Quality

Complete

Report Number

AMRL TDR 63-40

Creator

Inselberg, Alfred

Foerster, Heinz

von Yeh, Raymond

Cheng, Shih-mei

Corporate Author

Illinois Univ Urbana Electrical Engineering Research Lab

Laboratory

Biophysics Laboratory

Extent

114

Identifier

AD0411300

Access Rights

OTS

Distribution Classification

1

Contract

AF 33(616)-6428

DoD Project

7232

DoD Task

723205

DTIC Record Exists

No

Distribution Change Authority Correspondence

None

Distribution Conflict

No

Cover Price

2.5

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.

Report Availability

Full text available

Date Issued

1963-05

Provenance

Lockheed Martin Missiles & Fire Control

Type

report

Format

1 online resource