# 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} }

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

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