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Re: [HM] Cauchy
Posted:
Nov 22, 2006 1:44 AM


Le 14/11/06 16:52, dans « Gunnar Berg » <gunnar@math.uu.se> a écrit :
> > Dear all. > In perusing Cauchys "Cours d'analyse" (1821) I have come across the > following (p.35): > > "Enfin, lorsqu'un fonction f(x) cesse d'etre continue dans le voisinage > d'une valeur particuliere de la variable x, on dit qu'elle devient > alors discontinue, et qu'il y a pour cette valeur particuliere > solution de continuite." > > What puzzles me is the last phrase  "solution de continuite"  > I simply cannot make any sense of it. What can AugustinLouis mean? > I look forward to hear from those whose knowledge of Cauchy and his > times are more profound than mine. > > From Uppsala, deep in the gloom of November. > > Gunnar Berg
In French, "solution" has there different meanings : solution as in English with his two meanings corresponding to solve an dissolve ; but also missing, absence. Solution of continuity means simply absence of continuity (in mathematics and in medicine, for wounds) ; this last meaning can be thought as related to dissolve ; it is still used in mathematics.
 Claude Marti



