# On the Functions Generated by the General Purpose Analog Computer

@article{Bournez2017OnTF,
title={On the Functions Generated by the General Purpose Analog Computer},
author={O. Bournez and D. Graça and A. Pouly},
journal={Inf. Comput.},
year={2017},
volume={257},
pages={34-57}
}
• Published 2017
• Mathematics, Computer Science
• Inf. Comput.
• We consider the General Purpose Analog Computer (GPAC), introduced by Claude Shannon in 1941 as a mathematical model of Differential Analysers, that is to say as a model of continuous-time analog (mechanical, and later one electronic) machines of that time. We extend the model properly to a model of computation not restricted to univariate functions (i.e. functions $f: \mathbb{R} \to \mathbb{R}$) but also to the multivariate case of (i.e. functions $f: \mathbb{R}^n \to \mathbb{R}^m$), and… CONTINUE READING
12 Citations

#### Explore Further: Topics Discussed in This Paper

Computing with Polynomial Ordinary Differential Equations
• Mathematics, Computer Science
• J. Complex.
• 2016
• 4
• PDF
A Universal Ordinary Differential Equation
• Mathematics, Computer Science
• ICALP
• 2017
• 9
• PDF
A Universal Ordinary Differential Equation
• Mathematics, Computer Science
• Log. Methods Comput. Sci.
• 2020
An algebra for modeling continuous time systems
• Computer Science
• 2018 Design, Automation & Test in Europe Conference & Exhibition (DATE)
• 2018

#### References

SHOWING 1-10 OF 32 REFERENCES