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(* Algebra Einf"uhrung, Unterrichtsversuch IMST-Projekt
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author: Walther Neuper 2007
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(c) due to copyright terms
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*)
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theory AlgEin imports Rational begin
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(*Poly + ..shouldbe sufficient, but norm_Poly required*)
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consts
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(*new Descriptions in the related problems*)
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KantenUnten :: "bool list => una"
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KantenSenkrecht :: "bool list => una"
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KantenOben :: "bool list => una"
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KantenLaenge :: "bool => una"
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Querschnitt :: "bool => una"
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GesamtLaenge :: "real => una"
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(*Script-names*)
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RechnenSymbolScript :: "[bool,bool,bool list,bool list,bool list,real,
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bool] => bool"
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("((Script RechnenSymbolScript (_ _ _ _ _ _ =))// (_))" 9)
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ML {*
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val thy = @{theory};
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(** problems **)
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store_pbt
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(prep_pbt thy "pbl_algein" [] e_pblID
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(["Berechnung"], [], e_rls, NONE,
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[]));
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(* WN070405
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store_pbt
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(prep_pbt thy "pbl_algein_num" [] e_pblID
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(["numerische", "Berechnung"],
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[("#Given" ,["KantenUnten u_u", "KantenSenkrecht s_s", "KantenOben o_o"]),
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("#Find" ,["GesamtLaenge l_l"])
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],
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append_rls "e_rls" e_rls [],
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NONE,
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[]));
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*)
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store_pbt
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(prep_pbt thy "pbl_algein_numsym" [] e_pblID
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(["numerischSymbolische", "Berechnung"],
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[("#Given" ,["KantenLaenge k_k","Querschnitt q__q"(*q_ in Biegelinie.thy*),
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"KantenUnten u_u", "KantenSenkrecht s_s", "KantenOben o_o"]),
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("#Find" ,["GesamtLaenge l_l"])
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],
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e_rls,
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NONE,
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[["Berechnung","erstNumerisch"],["Berechnung","erstSymbolisch"]]));
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(* show_ptyps();
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*)
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*}
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ML {*
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(** methods **)
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store_met
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(prep_met thy "met_algein" [] e_metID
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(["Berechnung"],
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[],
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{rew_ord'="tless_true", rls'= Erls, calc = [],
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srls = Erls, prls = Erls,
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crls =Erls , nrls = Erls},
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"empty_script"
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));
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store_met
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(prep_met thy "met_algein_numsym" [] e_metID
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(["Berechnung","erstNumerisch"],
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[],
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{rew_ord'="tless_true", rls'= Erls, calc = [],
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srls = Erls, prls = Erls,
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crls =Erls , nrls = Erls},
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"empty_script"
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));
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*}
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ML {*
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store_met
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(prep_met thy "met_algein_numsym" [] e_metID
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(["Berechnung","erstNumerisch"],
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[("#Given" ,["KantenLaenge k_k","Querschnitt q__q",
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"KantenUnten u_u", "KantenSenkrecht s_s",
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"KantenOben o_o"]),
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("#Find" ,["GesamtLaenge l_l"])
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],
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{rew_ord'="tless_true", rls'= e_rls, calc = [],
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srls = append_rls "srls_..Berechnung-erstSymbolisch" e_rls
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[Calc ("Atools.boollist2sum",
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eval_boollist2sum "")],
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prls = e_rls, crls =e_rls , nrls = norm_Rational},
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"Script RechnenSymbolScript (k_k::bool) (q__q::bool) " ^
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"(u_u::bool list) (s_s::bool list) (o_o::bool list) (l_l::real) =" ^
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" (let t_t = Take (l_l = oben + senkrecht + unten); " ^
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" su_m = boollist2sum o_o; " ^
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" t_t = Substitute [oben = su_m] t_t; " ^
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" t_t = Substitute o_o t_t; " ^
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" t_t = Substitute [k_k, q__q] t_t; " ^
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" t_t = (Repeat (Try (Rewrite_Set norm_Poly False))) t_t; " ^
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" su_m = boollist2sum s_s; " ^
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" t_t = Substitute [senkrecht = su_m] t_t; " ^
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" t_t = Substitute s_s t_t; " ^
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" t_t = Substitute [k_k, q__q] t_t; " ^
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" t_t = (Repeat (Try (Rewrite_Set norm_Poly False))) t_t; " ^
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" su_m = boollist2sum u_u; " ^
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" t_t = Substitute [unten = su_m] t_t; " ^
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" t_t = Substitute u_u t_t; " ^
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" t_t = Substitute [k_k, q__q] t_t; " ^
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" t_t = (Repeat (Try (Rewrite_Set norm_Poly False))) t_t " ^
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" in (Try (Rewrite_Set norm_Poly False)) t_t) "
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));
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*}
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ML {*
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store_met
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(prep_met thy "met_algein_symnum" [] e_metID
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(["Berechnung","erstSymbolisch"],
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[("#Given" ,["KantenLaenge k_k","Querschnitt q__q",
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"KantenUnten u_u", "KantenSenkrecht s_s",
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"KantenOben o_o"]),
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("#Find" ,["GesamtLaenge l_l"])
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],
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{rew_ord'="tless_true", rls'= e_rls, calc = [],
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srls = append_rls "srls_..Berechnung-erstSymbolisch" e_rls
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[Calc ("Atools.boollist2sum",
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eval_boollist2sum "")],
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prls = e_rls,
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crls =e_rls , nrls = norm_Rational},
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"Script RechnenSymbolScript (k_k::bool) (q__q::bool) " ^
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"(u_u::bool list) (s_s::bool list) (o_o::bool list) (l_l::real) =" ^
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" (let t_t = Take (l_l = oben + senkrecht + unten); " ^
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" su_m = boollist2sum o_o; " ^
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" t_t = Substitute [oben = su_m] t_t; " ^
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" t_t = Substitute o_o t_t; " ^
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" t_t = (Repeat (Try (Rewrite_Set norm_Poly False))) t_t; " ^
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" su_m = boollist2sum s_s; " ^
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" t_t = Substitute [senkrecht = su_m] t_t; " ^
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" t_t = Substitute s_s t_t; " ^
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" t_t = (Repeat (Try (Rewrite_Set norm_Poly False))) t_t; " ^
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" su_m = boollist2sum u_u; " ^
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" t_t = Substitute [unten = su_m] t_t; " ^
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" t_t = Substitute u_u t_t; " ^
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" t_t = (Repeat (Try (Rewrite_Set norm_Poly False))) t_t; " ^
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" t_t = Substitute [k_k, q__q] t_t " ^
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" in (Try (Rewrite_Set norm_Poly False)) t_t) "
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));
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*}
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end
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