neuper@37906
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(* chapter 'Biegelinie' from the textbook:
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neuper@37906
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Timischl, Kaiser. Ingenieur-Mathematik 3. Wien 1999. p.268-271.
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authors: Walther Neuper 2005
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(c) due to copyright terms
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use"Knowledge/Biegelinie.ML";
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use"Biegelinie.ML";
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neuper@37906
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remove_thy"Typefix";
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neuper@37906
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remove_thy"Biegelinie";
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use_thy"Knowledge/Isac";
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neuper@37906
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*)
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(** interface isabelle -- isac **)
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theory' := overwritel (!theory', [("Biegelinie.thy",Biegelinie.thy)]);
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neuper@37906
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(** theory elements **)
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neuper@37906
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store_isa ["IsacKnowledge"] [];
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neuper@37906
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store_thy Biegelinie.thy
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["Walther Neuper 2005 supported by a grant from NMI Austria"];
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neuper@37906
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store_isa ["IsacKnowledge", theory2thyID Biegelinie.thy, "Theorems"]
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neuper@37906
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["Walther Neuper 2005 supported by a grant from NMI Austria"];
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store_thm Biegelinie.thy ("Belastung_Querkraft", Belastung_Querkraft)
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["Walther Neuper 2005 supported by a grant from NMI Austria"];
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store_thm Biegelinie.thy ("Moment_Neigung", Moment_Neigung)
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["Walther Neuper 2005 supported by a grant from NMI Austria"];
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store_thm Biegelinie.thy ("Moment_Querkraft", Moment_Querkraft)
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neuper@37906
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["Walther Neuper 2005 supported by a grant from NMI Austria"];
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neuper@37906
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store_thm Biegelinie.thy ("Neigung_Moment", Neigung_Moment)
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neuper@37906
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["Walther Neuper 2005 supported by a grant from NMI Austria"];
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neuper@37906
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store_thm Biegelinie.thy ("Querkraft_Belastung", Querkraft_Belastung)
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["Walther Neuper 2005 supported by a grant from NMI Austria"];
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store_thm Biegelinie.thy ("Querkraft_Moment", Querkraft_Moment)
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neuper@37906
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["Walther Neuper 2005 supported by a grant from NMI Austria"];
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store_thm Biegelinie.thy ("make_fun_explicit", make_fun_explicit)
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neuper@37906
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["Walther Neuper 2005 supported by a grant from NMI Austria"];
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(** problems **)
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store_pbt
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(prep_pbt Biegelinie.thy "pbl_bieg" [] e_pblID
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(["Biegelinien"],
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[("#Given" ,["Traegerlaenge l_", "Streckenlast q__"]),
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neuper@37906
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(*("#Where",["0 < l_"]), ...wait for < and handling Arbfix*)
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neuper@37906
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("#Find" ,["Biegelinie b_"]),
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("#Relate",["Randbedingungen rb_"])
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],
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append_rls "e_rls" e_rls [],
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NONE,
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[["IntegrierenUndKonstanteBestimmen2"]]));
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store_pbt
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(prep_pbt Biegelinie.thy "pbl_bieg_mom" [] e_pblID
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(["MomentBestimmte","Biegelinien"],
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[("#Given" ,["Traegerlaenge l_", "Streckenlast q__"]),
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neuper@37906
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(*("#Where",["0 < l_"]), ...wait for < and handling Arbfix*)
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neuper@37906
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("#Find" ,["Biegelinie b_"]),
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("#Relate",["RandbedingungenBiegung rb_","RandbedingungenMoment rm_"])
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],
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neuper@37906
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append_rls "e_rls" e_rls [],
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neuper@37926
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NONE,
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[["IntegrierenUndKonstanteBestimmen"]]));
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neuper@37906
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store_pbt
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(prep_pbt Biegelinie.thy "pbl_bieg_momg" [] e_pblID
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(["MomentGegebene","Biegelinien"],
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[],
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neuper@37906
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append_rls "e_rls" e_rls [],
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NONE,
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[["IntegrierenUndKonstanteBestimmen","2xIntegrieren"]]));
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neuper@37906
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store_pbt
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neuper@37906
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(prep_pbt Biegelinie.thy "pbl_bieg_einf" [] e_pblID
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(["einfache","Biegelinien"],
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[],
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neuper@37906
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append_rls "e_rls" e_rls [],
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neuper@37926
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NONE,
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[["IntegrierenUndKonstanteBestimmen","4x4System"]]));
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neuper@37906
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neuper@37906
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store_pbt
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neuper@37906
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(prep_pbt Biegelinie.thy "pbl_bieg_momquer" [] e_pblID
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(["QuerkraftUndMomentBestimmte","Biegelinien"],
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[],
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neuper@37906
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append_rls "e_rls" e_rls [],
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neuper@37926
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NONE,
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neuper@37906
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[["IntegrierenUndKonstanteBestimmen","1xIntegrieren"]]));
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neuper@37906
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store_pbt
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neuper@37906
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(prep_pbt Biegelinie.thy "pbl_bieg_vonq" [] e_pblID
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(["vonBelastungZu","Biegelinien"],
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[("#Given" ,["Streckenlast q__","FunktionsVariable v_"]),
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neuper@37906
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("#Find" ,["Funktionen funs___"])],
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append_rls "e_rls" e_rls [],
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neuper@37926
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NONE,
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[["Biegelinien","ausBelastung"]]));
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neuper@37906
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neuper@37906
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store_pbt
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neuper@37906
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(prep_pbt Biegelinie.thy "pbl_bieg_randbed" [] e_pblID
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(["setzeRandbedingungen","Biegelinien"],
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[("#Given" ,["Funktionen funs_","Randbedingungen rb_"]),
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("#Find" ,["Gleichungen equs___"])],
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neuper@37906
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append_rls "e_rls" e_rls [],
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neuper@37926
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NONE,
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[["Biegelinien","setzeRandbedingungenEin"]]));
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neuper@37906
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neuper@37906
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store_pbt
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neuper@37906
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(prep_pbt Biegelinie.thy "pbl_equ_fromfun" [] e_pblID
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(["makeFunctionTo","equation"],
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neuper@37906
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[("#Given" ,["functionEq fun_","substitution sub_"]),
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neuper@37906
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("#Find" ,["equality equ___"])],
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neuper@37906
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append_rls "e_rls" e_rls [],
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neuper@37926
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NONE,
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[["Equation","fromFunction"]]));
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neuper@37906
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neuper@37906
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neuper@37906
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(** methods **)
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val srls = Rls {id="srls_IntegrierenUnd..",
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preconds = [],
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rew_ord = ("termlessI",termlessI),
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erls = append_rls "erls_in_srls_IntegrierenUnd.." e_rls
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[(*for asm in nth_Cons_ ...*)
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Calc ("op <",eval_equ "#less_"),
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(*2nd nth_Cons_ pushes n+-1 into asms*)
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Calc("op +", eval_binop "#add_")
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],
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srls = Erls, calc = [],
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neuper@37906
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rules = [Thm ("nth_Cons_",num_str nth_Cons_),
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Calc("op +", eval_binop "#add_"),
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Thm ("nth_Nil_",num_str nth_Nil_),
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Calc("Tools.lhs", eval_lhs"eval_lhs_"),
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Calc("Tools.rhs", eval_rhs"eval_rhs_"),
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neuper@37906
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Calc("Atools.argument'_in",
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eval_argument_in "Atools.argument'_in")
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],
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scr = EmptyScr};
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neuper@37906
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val srls2 =
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Rls {id="srls_IntegrierenUnd..",
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preconds = [],
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neuper@37906
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rew_ord = ("termlessI",termlessI),
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erls = append_rls "erls_in_srls_IntegrierenUnd.." e_rls
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neuper@37906
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[(*for asm in nth_Cons_ ...*)
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neuper@37906
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Calc ("op <",eval_equ "#less_"),
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neuper@37906
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(*2nd nth_Cons_ pushes n+-1 into asms*)
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neuper@37906
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Calc("op +", eval_binop "#add_")
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],
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neuper@37906
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srls = Erls, calc = [],
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neuper@37906
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rules = [Thm ("nth_Cons_",num_str nth_Cons_),
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neuper@37906
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Calc("op +", eval_binop "#add_"),
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neuper@37906
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Thm ("nth_Nil_", num_str nth_Nil_),
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neuper@37906
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Calc("Tools.lhs", eval_lhs "eval_lhs_"),
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neuper@37906
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Calc("Atools.filter'_sameFunId",
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neuper@37906
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eval_filter_sameFunId "Atools.filter'_sameFunId"),
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neuper@37906
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(*WN070514 just for smltest/../biegelinie.sml ...*)
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neuper@37906
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Calc("Atools.sameFunId", eval_sameFunId "Atools.sameFunId"),
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neuper@37906
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Thm ("filter_Cons", num_str filter_Cons),
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neuper@37906
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Thm ("filter_Nil", num_str filter_Nil),
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neuper@37906
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Thm ("if_True", num_str if_True),
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neuper@37906
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Thm ("if_False", num_str if_False),
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neuper@37906
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Thm ("hd_thm", num_str hd_thm)
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neuper@37906
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],
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neuper@37906
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scr = EmptyScr};
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neuper@37906
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(*@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@*)
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neuper@37947
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(* use"Knowledge/Biegelinie.ML";
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*)
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neuper@37906
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neuper@37906
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store_met
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neuper@37906
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(prep_met Biegelinie.thy "met_biege" [] e_metID
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neuper@37906
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(["IntegrierenUndKonstanteBestimmen"],
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neuper@37906
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[("#Given" ,["Traegerlaenge l_", "Streckenlast q__",
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"FunktionsVariable v_"]),
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neuper@37906
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(*("#Where",["0 < l_"]), ...wait for < and handling Arbfix*)
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neuper@37906
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("#Find" ,["Biegelinie b_"]),
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neuper@37906
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("#Relate",["RandbedingungenBiegung rb_",
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neuper@37906
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"RandbedingungenMoment rm_"])
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neuper@37906
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],
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neuper@37906
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{rew_ord'="tless_true",
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neuper@37906
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rls' = append_rls "erls_IntegrierenUndK.." e_rls
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neuper@37906
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[Calc ("Atools.ident",eval_ident "#ident_"),
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neuper@37906
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Thm ("not_true",num_str not_true),
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neuper@37906
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Thm ("not_false",num_str not_false)],
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neuper@37906
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calc = [], srls = srls, prls = Erls,
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neuper@37906
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crls = Atools_erls, nrls = Erls},
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neuper@37906
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"Script BiegelinieScript \
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neuper@37906
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\(l_::real) (q__::real) (v_::real) (b_::real=>real) \
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neuper@37906
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\(rb_::bool list) (rm_::bool list) = \
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neuper@37906
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\ (let q___ = Take (q_ v_ = q__); \
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neuper@37906
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\ q___ = ((Rewrite sym_real_minus_eq_cancel True) @@ \
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neuper@37906
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\ (Rewrite Belastung_Querkraft True)) q___; \
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neuper@37906
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\ (Q__:: bool) = \
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neuper@37906
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\ (SubProblem (Biegelinie_,[named,integrate,function], \
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neuper@37906
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\ [diff,integration,named]) \
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neuper@37906
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\ [real_ (rhs q___), real_ v_, real_real_ Q]); \
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neuper@37906
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\ Q__ = Rewrite Querkraft_Moment True Q__; \
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neuper@37906
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\ (M__::bool) = \
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neuper@37906
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\ (SubProblem (Biegelinie_,[named,integrate,function], \
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neuper@37906
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\ [diff,integration,named]) \
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neuper@37906
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\ [real_ (rhs Q__), real_ v_, real_real_ M_b]); \
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neuper@37906
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\ e1__ = nth_ 1 rm_; \
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neuper@37906
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\ (x1__::real) = argument_in (lhs e1__); \
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neuper@37906
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\ (M1__::bool) = (Substitute [v_ = x1__]) M__; \
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neuper@37906
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\ M1__ = (Substitute [e1__]) M1__ ; \
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neuper@37906
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\ M2__ = Take M__; "^
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neuper@37906
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(*without this Take 'Substitute [v_ = x2__]' takes _last formula from ctree_*)
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neuper@37906
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" e2__ = nth_ 2 rm_; \
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neuper@37906
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\ (x2__::real) = argument_in (lhs e2__); \
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neuper@37906
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\ (M2__::bool) = ((Substitute [v_ = x2__]) @@ \
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neuper@37906
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\ (Substitute [e2__])) M2__; \
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neuper@37906
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\ (c_1_2__::bool list) = \
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neuper@37906
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\ (SubProblem (Biegelinie_,[linear,system],[no_met]) \
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neuper@37906
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\ [booll_ [M1__, M2__], reall [c,c_2]]); \
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neuper@37906
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\ M__ = Take M__; \
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neuper@37906
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\ M__ = ((Substitute c_1_2__) @@ \
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neuper@37906
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\ (Try (Rewrite_Set_Inst [(bdv_1, c),(bdv_2, c_2)]\
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neuper@37906
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\ simplify_System False)) @@ \
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neuper@37906
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\ (Rewrite Moment_Neigung False) @@ \
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neuper@37906
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\ (Rewrite make_fun_explicit False)) M__; "^
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neuper@37906
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(*----------------------- and the same once more ------------------------*)
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neuper@37906
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" (N__:: bool) = \
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neuper@37906
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\ (SubProblem (Biegelinie_,[named,integrate,function], \
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neuper@37906
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\ [diff,integration,named]) \
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neuper@37906
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\ [real_ (rhs M__), real_ v_, real_real_ y']); \
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neuper@37906
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\ (B__:: bool) = \
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neuper@37906
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\ (SubProblem (Biegelinie_,[named,integrate,function], \
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neuper@37906
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\ [diff,integration,named]) \
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neuper@37906
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\ [real_ (rhs N__), real_ v_, real_real_ y]); \
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neuper@37906
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\ e1__ = nth_ 1 rb_; \
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neuper@37906
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\ (x1__::real) = argument_in (lhs e1__); \
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neuper@37906
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\ (B1__::bool) = (Substitute [v_ = x1__]) B__; \
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neuper@37906
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\ B1__ = (Substitute [e1__]) B1__ ; \
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neuper@37906
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\ B2__ = Take B__; \
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neuper@37906
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\ e2__ = nth_ 2 rb_; \
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neuper@37906
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\ (x2__::real) = argument_in (lhs e2__); \
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neuper@37906
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\ (B2__::bool) = ((Substitute [v_ = x2__]) @@ \
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neuper@37906
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\ (Substitute [e2__])) B2__; \
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neuper@37906
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\ (c_1_2__::bool list) = \
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neuper@37906
|
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\ (SubProblem (Biegelinie_,[linear,system],[no_met]) \
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neuper@37906
|
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\ [booll_ [B1__, B2__], reall [c,c_2]]); \
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neuper@37906
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\ B__ = Take B__; \
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neuper@37906
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\ B__ = ((Substitute c_1_2__) @@ \
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neuper@37906
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\ (Rewrite_Set_Inst [(bdv, x)] make_ratpoly_in False)) B__ \
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neuper@37906
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\ in B__)"
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neuper@37906
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));
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neuper@37906
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neuper@37906
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store_met
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neuper@37906
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(prep_met Biegelinie.thy "met_biege_2" [] e_metID
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neuper@37906
|
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(["IntegrierenUndKonstanteBestimmen2"],
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neuper@37906
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[("#Given" ,["Traegerlaenge l_", "Streckenlast q__",
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neuper@37906
|
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"FunktionsVariable v_"]),
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neuper@37906
|
255 |
(*("#Where",["0 < l_"]), ...wait for < and handling Arbfix*)
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neuper@37906
|
256 |
("#Find" ,["Biegelinie b_"]),
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neuper@37906
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("#Relate",["Randbedingungen rb_"])
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neuper@37906
|
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],
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neuper@37906
|
259 |
{rew_ord'="tless_true",
|
neuper@37906
|
260 |
rls' = append_rls "erls_IntegrierenUndK.." e_rls
|
neuper@37906
|
261 |
[Calc ("Atools.ident",eval_ident "#ident_"),
|
neuper@37906
|
262 |
Thm ("not_true",num_str not_true),
|
neuper@37906
|
263 |
Thm ("not_false",num_str not_false)],
|
neuper@37906
|
264 |
calc = [],
|
neuper@37906
|
265 |
srls = append_rls "erls_IntegrierenUndK.." e_rls
|
neuper@37906
|
266 |
[Calc("Tools.rhs", eval_rhs"eval_rhs_"),
|
neuper@37906
|
267 |
Calc ("Atools.ident",eval_ident "#ident_"),
|
neuper@37906
|
268 |
Thm ("last_thmI",num_str last_thmI),
|
neuper@37906
|
269 |
Thm ("if_True",num_str if_True),
|
neuper@37906
|
270 |
Thm ("if_False",num_str if_False)
|
neuper@37906
|
271 |
],
|
neuper@37906
|
272 |
prls = Erls, crls = Atools_erls, nrls = Erls},
|
neuper@37906
|
273 |
"Script Biegelinie2Script \
|
neuper@37906
|
274 |
\(l_::real) (q__::real) (v_::real) (b_::real=>real) (rb_::bool list) = \
|
neuper@37906
|
275 |
\ (let \
|
neuper@37906
|
276 |
\ (funs_:: bool list) = \
|
neuper@37906
|
277 |
\ (SubProblem (Biegelinie_,[vonBelastungZu,Biegelinien], \
|
neuper@37906
|
278 |
\ [Biegelinien,ausBelastung]) \
|
neuper@37906
|
279 |
\ [real_ q__, real_ v_]); \
|
neuper@37906
|
280 |
\ (equs_::bool list) = \
|
neuper@37906
|
281 |
\ (SubProblem (Biegelinie_,[setzeRandbedingungen,Biegelinien],\
|
neuper@37906
|
282 |
\ [Biegelinien,setzeRandbedingungenEin]) \
|
neuper@37906
|
283 |
\ [booll_ funs_, booll_ rb_]); \
|
neuper@37906
|
284 |
\ (cons_::bool list) = \
|
neuper@37906
|
285 |
\ (SubProblem (Biegelinie_,[linear,system],[no_met]) \
|
neuper@37906
|
286 |
\ [booll_ equs_, reall [c,c_2,c_3,c_4]]); \
|
neuper@37906
|
287 |
\ B_ = Take (lastI funs_); \
|
neuper@37906
|
288 |
\ B_ = ((Substitute cons_) @@ \
|
neuper@37906
|
289 |
\ (Rewrite_Set_Inst [(bdv, v_)] make_ratpoly_in False)) B_ \
|
neuper@37906
|
290 |
\ in B_)"
|
neuper@37906
|
291 |
));
|
neuper@37906
|
292 |
|
neuper@37906
|
293 |
store_met
|
neuper@37906
|
294 |
(prep_met Biegelinie.thy "met_biege_intconst_2" [] e_metID
|
neuper@37906
|
295 |
(["IntegrierenUndKonstanteBestimmen","2xIntegrieren"],
|
neuper@37906
|
296 |
[],
|
neuper@37906
|
297 |
{rew_ord'="tless_true", rls'=Erls, calc = [],
|
neuper@37906
|
298 |
srls = e_rls,
|
neuper@37906
|
299 |
prls=e_rls,
|
neuper@37906
|
300 |
crls = Atools_erls, nrls = e_rls},
|
neuper@37906
|
301 |
"empty_script"
|
neuper@37906
|
302 |
));
|
neuper@37906
|
303 |
|
neuper@37906
|
304 |
store_met
|
neuper@37906
|
305 |
(prep_met Biegelinie.thy "met_biege_intconst_4" [] e_metID
|
neuper@37906
|
306 |
(["IntegrierenUndKonstanteBestimmen","4x4System"],
|
neuper@37906
|
307 |
[],
|
neuper@37906
|
308 |
{rew_ord'="tless_true", rls'=Erls, calc = [],
|
neuper@37906
|
309 |
srls = e_rls,
|
neuper@37906
|
310 |
prls=e_rls,
|
neuper@37906
|
311 |
crls = Atools_erls, nrls = e_rls},
|
neuper@37906
|
312 |
"empty_script"
|
neuper@37906
|
313 |
));
|
neuper@37906
|
314 |
|
neuper@37906
|
315 |
store_met
|
neuper@37906
|
316 |
(prep_met Biegelinie.thy "met_biege_intconst_1" [] e_metID
|
neuper@37906
|
317 |
(["IntegrierenUndKonstanteBestimmen","1xIntegrieren"],
|
neuper@37906
|
318 |
[],
|
neuper@37906
|
319 |
{rew_ord'="tless_true", rls'=Erls, calc = [],
|
neuper@37906
|
320 |
srls = e_rls,
|
neuper@37906
|
321 |
prls=e_rls,
|
neuper@37906
|
322 |
crls = Atools_erls, nrls = e_rls},
|
neuper@37906
|
323 |
"empty_script"
|
neuper@37906
|
324 |
));
|
neuper@37906
|
325 |
|
neuper@37906
|
326 |
store_met
|
neuper@37906
|
327 |
(prep_met Biegelinie.thy "met_biege2" [] e_metID
|
neuper@37906
|
328 |
(["Biegelinien"],
|
neuper@37906
|
329 |
[],
|
neuper@37906
|
330 |
{rew_ord'="tless_true", rls'=Erls, calc = [],
|
neuper@37906
|
331 |
srls = e_rls,
|
neuper@37906
|
332 |
prls=e_rls,
|
neuper@37906
|
333 |
crls = Atools_erls, nrls = e_rls},
|
neuper@37906
|
334 |
"empty_script"
|
neuper@37906
|
335 |
));
|
neuper@37906
|
336 |
|
neuper@37906
|
337 |
store_met
|
neuper@37906
|
338 |
(prep_met Biegelinie.thy "met_biege_ausbelast" [] e_metID
|
neuper@37906
|
339 |
(["Biegelinien","ausBelastung"],
|
neuper@37906
|
340 |
[("#Given" ,["Streckenlast q__","FunktionsVariable v_"]),
|
neuper@37906
|
341 |
("#Find" ,["Funktionen funs_"])],
|
neuper@37906
|
342 |
{rew_ord'="tless_true",
|
neuper@37906
|
343 |
rls' = append_rls "erls_ausBelastung" e_rls
|
neuper@37906
|
344 |
[Calc ("Atools.ident",eval_ident "#ident_"),
|
neuper@37906
|
345 |
Thm ("not_true",num_str not_true),
|
neuper@37906
|
346 |
Thm ("not_false",num_str not_false)],
|
neuper@37906
|
347 |
calc = [],
|
neuper@37906
|
348 |
srls = append_rls "srls_ausBelastung" e_rls
|
neuper@37906
|
349 |
[Calc("Tools.rhs", eval_rhs"eval_rhs_")],
|
neuper@37906
|
350 |
prls = e_rls, crls = Atools_erls, nrls = e_rls},
|
neuper@37906
|
351 |
"Script Belastung2BiegelScript (q__::real) (v_::real) = \
|
neuper@37906
|
352 |
\ (let q___ = Take (q_ v_ = q__); \
|
neuper@37906
|
353 |
\ q___ = ((Rewrite sym_real_minus_eq_cancel True) @@ \
|
neuper@37906
|
354 |
\ (Rewrite Belastung_Querkraft True)) q___; \
|
neuper@37906
|
355 |
\ (Q__:: bool) = \
|
neuper@37906
|
356 |
\ (SubProblem (Biegelinie_,[named,integrate,function], \
|
neuper@37906
|
357 |
\ [diff,integration,named]) \
|
neuper@37906
|
358 |
\ [real_ (rhs q___), real_ v_, real_real_ Q]); \
|
neuper@37906
|
359 |
\ M__ = Rewrite Querkraft_Moment True Q__; \
|
neuper@37906
|
360 |
\ (M__::bool) = \
|
neuper@37906
|
361 |
\ (SubProblem (Biegelinie_,[named,integrate,function], \
|
neuper@37906
|
362 |
\ [diff,integration,named]) \
|
neuper@37906
|
363 |
\ [real_ (rhs M__), real_ v_, real_real_ M_b]); \
|
neuper@37906
|
364 |
\ N__ = ((Rewrite Moment_Neigung False) @@ \
|
neuper@37906
|
365 |
\ (Rewrite make_fun_explicit False)) M__; \
|
neuper@37906
|
366 |
\ (N__:: bool) = \
|
neuper@37906
|
367 |
\ (SubProblem (Biegelinie_,[named,integrate,function], \
|
neuper@37906
|
368 |
\ [diff,integration,named]) \
|
neuper@37906
|
369 |
\ [real_ (rhs N__), real_ v_, real_real_ y']); \
|
neuper@37906
|
370 |
\ (B__:: bool) = \
|
neuper@37906
|
371 |
\ (SubProblem (Biegelinie_,[named,integrate,function], \
|
neuper@37906
|
372 |
\ [diff,integration,named]) \
|
neuper@37906
|
373 |
\ [real_ (rhs N__), real_ v_, real_real_ y]) \
|
neuper@37906
|
374 |
\ in [Q__, M__, N__, B__])"
|
neuper@37906
|
375 |
));
|
neuper@37906
|
376 |
|
neuper@37906
|
377 |
store_met
|
neuper@37906
|
378 |
(prep_met Biegelinie.thy "met_biege_setzrand" [] e_metID
|
neuper@37906
|
379 |
(["Biegelinien","setzeRandbedingungenEin"],
|
neuper@37906
|
380 |
[("#Given" ,["Funktionen funs_","Randbedingungen rb_"]),
|
neuper@37906
|
381 |
("#Find" ,["Gleichungen equs___"])],
|
neuper@37906
|
382 |
{rew_ord'="tless_true", rls'=Erls, calc = [],
|
neuper@37906
|
383 |
srls = srls2,
|
neuper@37906
|
384 |
prls=e_rls,
|
neuper@37906
|
385 |
crls = Atools_erls, nrls = e_rls},
|
neuper@37906
|
386 |
"Script SetzeRandbedScript (funs_::bool list) (rb_::bool list) = \
|
neuper@37906
|
387 |
\ (let b1_ = nth_ 1 rb_; \
|
neuper@37906
|
388 |
\ fs_ = filter_sameFunId (lhs b1_) funs_; \
|
neuper@37906
|
389 |
\ (e1_::bool) = \
|
neuper@37906
|
390 |
\ (SubProblem (Biegelinie_,[makeFunctionTo,equation],\
|
neuper@37906
|
391 |
\ [Equation,fromFunction]) \
|
neuper@37906
|
392 |
\ [bool_ (hd fs_), bool_ b1_]); \
|
neuper@37906
|
393 |
\ b2_ = nth_ 2 rb_; \
|
neuper@37906
|
394 |
\ fs_ = filter_sameFunId (lhs b2_) funs_; \
|
neuper@37906
|
395 |
\ (e2_::bool) = \
|
neuper@37906
|
396 |
\ (SubProblem (Biegelinie_,[makeFunctionTo,equation],\
|
neuper@37906
|
397 |
\ [Equation,fromFunction]) \
|
neuper@37906
|
398 |
\ [bool_ (hd fs_), bool_ b2_]); \
|
neuper@37906
|
399 |
\ b3_ = nth_ 3 rb_; \
|
neuper@37906
|
400 |
\ fs_ = filter_sameFunId (lhs b3_) funs_; \
|
neuper@37906
|
401 |
\ (e3_::bool) = \
|
neuper@37906
|
402 |
\ (SubProblem (Biegelinie_,[makeFunctionTo,equation],\
|
neuper@37906
|
403 |
\ [Equation,fromFunction]) \
|
neuper@37906
|
404 |
\ [bool_ (hd fs_), bool_ b3_]); \
|
neuper@37906
|
405 |
\ b4_ = nth_ 4 rb_; \
|
neuper@37906
|
406 |
\ fs_ = filter_sameFunId (lhs b4_) funs_; \
|
neuper@37906
|
407 |
\ (e4_::bool) = \
|
neuper@37906
|
408 |
\ (SubProblem (Biegelinie_,[makeFunctionTo,equation],\
|
neuper@37906
|
409 |
\ [Equation,fromFunction]) \
|
neuper@37906
|
410 |
\ [bool_ (hd fs_), bool_ b4_]) \
|
neuper@37906
|
411 |
\ in [e1_,e2_,e3_,e4_])"
|
neuper@37906
|
412 |
(* filter requires more than 1 sec !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
|
neuper@37906
|
413 |
"Script SetzeRandbedScript (funs_::bool list) (rb_::bool list) = \
|
neuper@37906
|
414 |
\ (let b1_ = nth_ 1 rb_; \
|
neuper@37906
|
415 |
\ fs_ = filter (sameFunId (lhs b1_)) funs_; \
|
neuper@37906
|
416 |
\ (e1_::bool) = \
|
neuper@37906
|
417 |
\ (SubProblem (Biegelinie_,[makeFunctionTo,equation],\
|
neuper@37906
|
418 |
\ [Equation,fromFunction]) \
|
neuper@37906
|
419 |
\ [bool_ (hd fs_), bool_ b1_]); \
|
neuper@37906
|
420 |
\ b2_ = nth_ 2 rb_; \
|
neuper@37906
|
421 |
\ fs_ = filter (sameFunId (lhs b2_)) funs_; \
|
neuper@37906
|
422 |
\ (e2_::bool) = \
|
neuper@37906
|
423 |
\ (SubProblem (Biegelinie_,[makeFunctionTo,equation],\
|
neuper@37906
|
424 |
\ [Equation,fromFunction]) \
|
neuper@37906
|
425 |
\ [bool_ (hd fs_), bool_ b2_]); \
|
neuper@37906
|
426 |
\ b3_ = nth_ 3 rb_; \
|
neuper@37906
|
427 |
\ fs_ = filter (sameFunId (lhs b3_)) funs_; \
|
neuper@37906
|
428 |
\ (e3_::bool) = \
|
neuper@37906
|
429 |
\ (SubProblem (Biegelinie_,[makeFunctionTo,equation],\
|
neuper@37906
|
430 |
\ [Equation,fromFunction]) \
|
neuper@37906
|
431 |
\ [bool_ (hd fs_), bool_ b3_]); \
|
neuper@37906
|
432 |
\ b4_ = nth_ 4 rb_; \
|
neuper@37906
|
433 |
\ fs_ = filter (sameFunId (lhs b4_)) funs_; \
|
neuper@37906
|
434 |
\ (e4_::bool) = \
|
neuper@37906
|
435 |
\ (SubProblem (Biegelinie_,[makeFunctionTo,equation],\
|
neuper@37906
|
436 |
\ [Equation,fromFunction]) \
|
neuper@37906
|
437 |
\ [bool_ (hd fs_), bool_ b4_]) \
|
neuper@37906
|
438 |
\ in [e1_,e2_,e3_,e4_])"*)
|
neuper@37906
|
439 |
));
|
neuper@37906
|
440 |
|
neuper@37906
|
441 |
store_met
|
neuper@37906
|
442 |
(prep_met Biegelinie.thy "met_equ_fromfun" [] e_metID
|
neuper@37906
|
443 |
(["Equation","fromFunction"],
|
neuper@37906
|
444 |
[("#Given" ,["functionEq fun_","substitution sub_"]),
|
neuper@37906
|
445 |
("#Find" ,["equality equ___"])],
|
neuper@37906
|
446 |
{rew_ord'="tless_true", rls'=Erls, calc = [],
|
neuper@37906
|
447 |
srls = append_rls "srls_in_EquationfromFunc" e_rls
|
neuper@37906
|
448 |
[Calc("Tools.lhs", eval_lhs"eval_lhs_"),
|
neuper@37906
|
449 |
Calc("Atools.argument'_in",
|
neuper@37906
|
450 |
eval_argument_in
|
neuper@37906
|
451 |
"Atools.argument'_in")],
|
neuper@37906
|
452 |
prls=e_rls,
|
neuper@37906
|
453 |
crls = Atools_erls, nrls = e_rls},
|
neuper@37906
|
454 |
(*(M_b x = c_2 + c * x + -1 * q_0 / 2 * x ^^^ 2) (M_b L = 0) -->
|
neuper@37906
|
455 |
0 = c_2 + c * L + -1 * q_0 / 2 * L ^^^ 2*)
|
neuper@37906
|
456 |
"Script Function2Equality (fun_::bool) (sub_::bool) =\
|
neuper@37906
|
457 |
\ (let fun_ = Take fun_; \
|
neuper@37906
|
458 |
\ bdv_ = argument_in (lhs fun_); \
|
neuper@37906
|
459 |
\ val_ = argument_in (lhs sub_); \
|
neuper@37906
|
460 |
\ equ_ = (Substitute [bdv_ = val_]) fun_; \
|
neuper@37906
|
461 |
\ equ_ = (Substitute [sub_]) fun_ \
|
neuper@37906
|
462 |
\ in (Rewrite_Set norm_Rational False) equ_) "
|
neuper@37906
|
463 |
));
|
neuper@37906
|
464 |
|
neuper@37906
|
465 |
|
neuper@37906
|
466 |
|
neuper@37947
|
467 |
(* use"Knowledge/Biegelinie.ML";
|
neuper@37906
|
468 |
*) |