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Structure problems in the analog computation; Problemes de structure dans le calcul analogique

Abstract

The recent mathematical development showed the importance of elementary structures (algebraic, topological, etc.) in abeyance under the great domains of classical analysis. Such structures in analog computation are put in evidence and possible development of applied mathematics are discussed. It also studied the topological structures of the standard representation of analog schemes such as additional triangles, integrators, phase inverters and functions generators. The analog method gives only the function of the variable: time, as results of its computations. But the course of computation, for systems including reactive circuits, introduces order structures which are called 'chronological'. Finally, it showed that the approximation methods of ordinary numerical and digital computation present the same structure as these analog computation. The structure analysis permits fruitful comparisons between the several domains of applied mathematics and suggests new important domains of application for analog method. (M.P.)
Authors:
Braffort, P L [1] 
  1. Commissariat a l'Energie Atomique, Saclay (France). Centre d'Etudes Nucleaires
Publication Date:
Jul 01, 1957
Product Type:
Technical Report
Report Number:
CEA-R-630
Subject:
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; ANALOG COMPUTERS; APPROXIMATIONS; CALCULATORS; DIFFERENTIAL CALCULUS; PROGRAMMING; TIME DEPENDENCE; TOPOLOGY
OSTI ID:
20873568
Research Organizations:
CEA Saclay, 91 - Gif-sur-Yvette (France)
Country of Origin:
France
Language:
French
Other Identifying Numbers:
TRN: FR07R0630041578
Availability:
Available from INIS in electronic form
Submitting Site:
FRN
Size:
3 pages
Announcement Date:
Jun 11, 2007

Citation Formats

Braffort, P L. Structure problems in the analog computation; Problemes de structure dans le calcul analogique. France: N. p., 1957. Web.
Braffort, P L. Structure problems in the analog computation; Problemes de structure dans le calcul analogique. France.
Braffort, P L. 1957. "Structure problems in the analog computation; Problemes de structure dans le calcul analogique." France.
@misc{etde_20873568,
title = {Structure problems in the analog computation; Problemes de structure dans le calcul analogique}
author = {Braffort, P L}
abstractNote = {The recent mathematical development showed the importance of elementary structures (algebraic, topological, etc.) in abeyance under the great domains of classical analysis. Such structures in analog computation are put in evidence and possible development of applied mathematics are discussed. It also studied the topological structures of the standard representation of analog schemes such as additional triangles, integrators, phase inverters and functions generators. The analog method gives only the function of the variable: time, as results of its computations. But the course of computation, for systems including reactive circuits, introduces order structures which are called 'chronological'. Finally, it showed that the approximation methods of ordinary numerical and digital computation present the same structure as these analog computation. The structure analysis permits fruitful comparisons between the several domains of applied mathematics and suggests new important domains of application for analog method. (M.P.)}
place = {France}
year = {1957}
month = {Jul}
}