La Differentiation automatique de fonctions representees par des programmes
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(135) h _]lZ - _]t[UK~ t^ lKW
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(139) PRQ. {|TV_$ l1WZ~ t^lKWZ_/UK~m~ TV_o_) |\^TV_ATmW _]lKW|tC[Tm n4-|\VlTm ' [oTV_C{fU(WZ_. e(g efv+S. . ql-Z_/_9-fzfzZl _]Tm[lKWZ_/tl-S l4-f[_N:-fTA\^TV_. . lKWZ~ t9 l1WZ_/{|T. (. -fWGKl I_ ^WZU(nKT/{.-zl^W t)l '- T \ \^TV__]lKW|t/Tm NU \`-Tm TV_ XTmtotoT Y _|zZlKtY TV' _]T W ; TV_]tCzZUK_ zf[U(tb:4f - T9 lKWto[ol-fKTm[ U,~YfT q#TV{|Tm ,+%@.CTmt r _o~oYfTm[W, V .L:4-fT \ :4-fTV_ _-S]Tmt< h|=Uw _}T \ \^T zZTm[o/TmtC{|T UK~ \1 tTm[C\ ; TD0fzZl _.T) {|TV_zf[9 WZ~ ^zTV_){|T#\U{4178Tm [oTmWft9U u. WTV ~ TV_o_oUw [Tm/TmW tsTm [G= Tm T=TmW {4_~D-Z_o_I^lKWZ_#_-f[C~ T. t^lKWU-ftolKAU(tb:-fT. . W|toTm[o3TV {4 U^[oTV_WfT {2Tm zTmWZ{|[olKW|t :4-fT { ; -fWfTl-{|T {|TG-.0(U([ U(|\^TV_ - T \ \^TV_/{|T{4178Tm [oTmW|t U(toTG-f[ _OU-ftolK=U(t9 :4-fTV_ TD7
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(148) , W ; TV_]tzZUK_ U ' ~ lKWZ_]TD \ \^Tm[ ~mU[] \( U^ t[TD wTm [oTmWZ~ TCU/ - nK[ U(zfYfTk{|T)~mU \ ~D| - \ {|Tq\ T? lKWZ~ t^ lKW
(149) h ~ T":4-. _f - zfzl _]T f - W /l {(T ' \^T _I^ /z|\^T{|T#zf[olKnK[ U(//TKh1Tmts U^ tsf - WfT~ l1W KTmW|t^ lKW5_f - [\^T _]TmWZ_{|T~ lKWZ_ to[HZ - ~ t^ lKW5{|T ~ T#nK[UzfYfT {|T)ZUK_TmWGYZUf - t< h:4-. W ; TV_]tCzZU1_\ UTm JT~oYfT tol4Z - _\^TV_kUf - tTGf - [_ . _I^.
(150) GR
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(159) GR
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(170) ' *17 _| _ Zl(\^T/{|T# q [ol1WfTV~ KTm[ *1 _I 7m T. t *. @ 9 E T 5 I _ - {f_ {. NQ WZ_9-. tTKh \^TV_ Wfl TGZ nK[U(zfYfT5_]lKW|tzZU([ ~ lf - [HZ - __.T :4f - TmW|t^ T \ \^Tm/TmW|tVhzZlf - [ - +. /+h
(171) Tmt \ UGNU \^TGf- [5{|TV_(U([ U(|\^TV_ ( - . ( Tmt{|T\^TGf- [}{2Tm [^ sTm TCzZU([ot9 T \ \^T -
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(174) U2 - \V^ TG@ - {|T zZU([~ lf - [9 [#\^TnK[UzfYfTTmW[Tmn U([{fU(W|tCzlf - [~oYZU4:f - T Wfl TGZ - { O:4f - T \ \^TV__]lKW|tq\ TV_ .
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(181)
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