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The Logic Conservation of Compositions between Panweighted Networks and Fields and Its Application in ANN

Wu Chen (Dept.of Computer Science and Engineering,East China Shipbuilding Institute,Zhenjiang,Jiangsu,212003)Presented at the Inaugural Workshop of the International Institute for General Systems Studies,Slippery Rock,Pennsyvania,USA,July 13~15,1995  
Logic conservation refers to general nonvariability and conservation.The logic conservation in panweighted networks and fields then includes the stable subsets and input/output relations etc. .The concepts of compositions between panweighted networks and fields themselves are the generalization and extention of those concepts of the computation state transformation etc.in common networks,graphs,finite automata,diagnostic models,etc..In this paper,some rules for compositions between panweighted networks and fields are first introduced and defined,and a group of theorems then for this kind of abstract panweighted networks and fields are proved.Combined with the average field model in artificial neural networks (ANN),the ability of description and application future of panweighted networks and fields in ANN are explored.
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