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General purpose analog computer

The General Purpose Analog Computer (GPAC) is a mathematical model of analog computers first introduced in 1941 by Claude Shannon. This model… 
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Related topics

Related topics

9 relations
Analog computerAnalogue electronicsChurch–Turing thesisComputability

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
Computing with Polynomial Ordinary Differential Equations
2013
2013
Turing Machines Can Be Efficiently Simulated by the General Purpose Analog Computer
The Church-Turing thesis states that any sufficiently powerful computational model which captures the notion of algorithm is… 
Highly Cited
2004
Highly Cited
2004
Some recent developments on Shannon's General Purpose Analog Computer
  • D. Graça
  • Mathematical Logic Quarterly
  • 2004
  • Corpus ID: 17410830
This paper revisits one of the first models of analog computation, the General Purpose Analog Computer (GPAC). In particular, we… 
Highly Cited
2004
Highly Cited
2004
Real recursive functions and their hierarchy
Highly Cited
2003
Highly Cited
2003
Analog computers and recursive functions over the reals
2002
2002
The general purpose analog computer and recursive functionsover the reals
The purpose of the present dissertation is to analyze various mathematical models of analog computation. This work starts by… 
Highly Cited
2000
Highly Cited
2000
Iteration, Inequalities, and Differentiability in Analog Computers
Shannon's general purpose analog computer (GPAC) is an elegant model of analog computation in continuous time. In this paper, we… 
Highly Cited
1996
Highly Cited
1996
Recursion Theory on the Reals and Continuous-Time Computation
  • C. Moore
  • Theoretical Computer Science
  • 1996
  • Corpus ID: 19799389
1985
1985
Helmut Hoelzer's Fully Electronic Analog Computer
  • J. Tomayko
  • Annals of the History of Computing
  • 1985
  • Corpus ID: 15986944
A fully electronic general-purpose analog computer was designed by Helmut Hoelzer, a German electrical engineer and remote… 
Highly Cited
1974
Highly Cited
1974
Abstract computability and its relation to the general purpose analog computer (some connections between logic, differential equations and analog computers)
COMPUTABILITY AND ITS RELATION TO THE GENERAL PURPOSE ANALOG COMPUTER (SOME CONNECTIONS BETWEEN LOGIC, DIFFERENTIAL EQUATIONS AND… 
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