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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 computer
Analogue electronics
Church–Turing thesis
Computability
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
On the Functions Generated by the General Purpose Analog Computer
O. Bournez
,
D. Graça
,
A. Pouly
Inf. Comput.
2017
Corpus ID: 7545444
We consider the General Purpose Analog Computer (GPAC), introduced by Claude Shannon in 1941 as a mathematical model of…
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2013
2013
Turing Machines Can Be Efficiently Simulated by the General Purpose Analog Computer
O. Bournez
,
D. S. Graça
,
A. Pouly
TAMC
2013
Corpus ID: 819642
The Church-Turing thesis states that any sufficiently powerful computational model which captures the notion of algorithm is…
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2006
2006
The General Purpose Analog Computer and Computable Analysis are Two Equivalent Paradigms of Analog Computation
O. Bournez
,
M. L. Campagnolo
,
D. Graça
,
Emmanuel Hainry
TAMC
2006
Corpus ID: 1118445
In this paper we revisit one of the first models of analog computation, Shannon’s General Purpose Analog Computer (GPAC). The…
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Highly Cited
2004
Highly Cited
2004
Some recent developments on Shannon's General Purpose Analog Computer
D. S. Graça
Math. Log. Q.
2004
Corpus ID: 17410830
This paper revisits one of the first models of analog computation, the General Purpose Analog Computer (GPAC). In particular, we…
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Highly Cited
2003
Highly Cited
2003
Analog computers and recursive functions over the reals
D. S. Graça
,
J. Costa
J. Complex.
2003
Corpus ID: 792775
In this paper we show that Shannon's general purpose analog computer (GPAC) is equivalent to a particular class of recursive…
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2002
2002
The general purpose analog computer and recursive functionsover the reals
D. Graça
2002
Corpus ID: 2021930
The purpose of the present dissertation is to analyze various mathematical models of analog computation. This work starts by…
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Highly Cited
2000
Highly Cited
2000
Iteration, Inequalities, and Differentiability in Analog Computers
M. L. Campagnolo
,
C. Moore
,
J. Costa
J. Complex.
2000
Corpus ID: 36139959
Shannon's general purpose analog computer (GPAC) is an elegant model of analog computation in continuous time. In this paper, we…
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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…
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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)
M. B. Pour-El
1974
Corpus ID: 6010302
COMPUTABILITY AND ITS RELATION TO THE GENERAL PURPOSE ANALOG COMPUTER (SOME CONNECTIONS BETWEEN LOGIC, DIFFERENTIAL EQUATIONS AND…
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1964
1964
SYNTHESIS OF OPTIMAL CONTROLLERS USING HYBRID ANALOG-DIGITAL COMPUTERS
B. Paiewonsky
,
Peter J. Woodrow
,
W. Brunner
,
P. W. Halbert
1964
Corpus ID: 60474994
Publisher Summary This chapter discusses the synthesis of optimal controllers using hybrid analog-digital computers. A class of…
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