{VERSION 2 3 "IBM INTEL NT" "2.3" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "Hyperlink" -1 17 "" 0 1 0 128 128 1 0 0 1 0 0 0 0 0 0 } {CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "2 D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 256 " " 1 22 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 1 11 0 0 0 0 1 1 1 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 1 16 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 259 "" 1 16 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 1 16 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 261 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 262 "" 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 }{CSTYLE "" -1 264 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 265 "" 1 12 0 0 0 0 0 1 1 0 0 0 0 0 0 }{CSTYLE "" -1 266 "" 1 12 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 267 "" 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 }{CSTYLE "" -1 268 "Algerian" 1 14 0 0 0 0 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 269 " " 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 270 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 271 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 } {CSTYLE "" -1 272 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 273 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 274 "" 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 }{CSTYLE "" -1 275 "" 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 } {CSTYLE "" -1 276 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 277 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 278 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 279 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 280 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 281 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 282 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 283 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 } {CSTYLE "" -1 284 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 285 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 286 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 287 "" 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 } {CSTYLE "" -1 288 "" 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 }1 0 0 0 6 6 0 0 0 0 0 0 -1 0 }{PSTYLE "H eading 2" 3 4 1 {CSTYLE "" -1 -1 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 4 4 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 4 256 1 {CSTYLE "" -1 -1 "" 1 15 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 4 257 1 {CSTYLE "" -1 -1 "" 1 15 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 258 1 {CSTYLE "" -1 -1 "" 1 15 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 4 259 1 {CSTYLE "" -1 -1 "" 1 15 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 44 "13.12.1997 \+ " }{TEXT 261 14 " " }{TEXT 268 12 "Refe rat #1.1" }{TEXT 269 69 " \+ " }{TEXT -1 16 "Christoph Ankele" }}{PARA 0 " " 0 "" {TEXT -1 174 " \+ \+ LK-Mathe" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT 256 18 "Referat ( Teil 2 )" }}{PARA 0 "" 0 "" {TEXT -1 0 "" } }{SECT 1 {PARA 256 "" 0 "" {TEXT 258 5 "Thema" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 257 17 "Aufgabenstellung:" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "Fibonacci" {TEXT -1 63 " Untersuche die Fibonacci-Folge ( Informationen \374ber die Person " } {HYPERLNK 17 "Fibonaccis" 1 "" "FB" }{TEXT -1 2 " )" }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}}{SECT 1 {PARA 257 "" 0 "" {TEXT -1 1 " " }{TEXT 259 19 "Wer war Fibonacci ?" }}{PARA 258 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 258 "" 0 "FB" {TEXT 262 1 "L" } {TEXT 265 17 "eonardo Fibonacci" }{TEXT 266 1 " " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 637 "Leonardo Fibonacci, war \+ der bedeutendste Mathematiker des Mittelalters. Im Jahre 1175 wurde er in Pisa geboren, er wuchs aber in Nordafrika auf, wo sein Vater eine \+ Diplomatenstelle bekleidete.( Der Name Fibonacci steht f\374r filius B onacci ( Sohn von Bonacci ) was so viel bedeutet wie \" Sohn des Schi cksals \" ). Das Buch \" Liber abacci \", welches sich mit den arabisc hen Zahlensystem besch\344ftigt und es nach Europa einbrachte, wurde 1 202 nach seiner R\374ckkehr nach Italien ver\366ffentlicht. Leonardo F ibonacci starb im Jahre 1242 in Pisa, wo heute noch eine Statue vor de r Kathedrale von Pisa an ihn erinnert. Der franz\366sische Mathematike r " }{TEXT 267 13 "Edouard Lucas" }{TEXT -1 174 " (1842-1891) war derj enige, der den Fibonacci-Zahlen den Namen \" Fibonacci-Folge \" gab. E in Problem, das in seinem Buch \" Liber abacci \" auftauchte, f\374hrt e zur Einf\374hrung der" }}{PARA 0 "" 0 "" {TEXT -1 110 "Fibonacci-Zah len und der Fibonacci-Folge f\374r die Leonardo von Pisa (sein eigentl icher Name) heute bekannt ist " }{TEXT 281 1 "(" }{TEXT -1 7 " Die Be " }}{PARA 0 "" 0 "" {TEXT -1 118 "trachtung dieser Folge geht auf die \+ folgende,1202 von Fibonacci gestellte Frage zur\374ck: Wie viele Kanin chenpaare stam-" }}{PARA 0 "" 0 "" {TEXT -1 110 "men am Ende eines Jah res von einem Kaninchenpaar ab, wenn jedes Paar jeden Monat ein neues \+ Paar als Nachkommen" }}{PARA 0 "" 0 "" {TEXT -1 82 "hat, das selbst vo m zweiten Monat an Nachkommen-Paare gebiert ? Die Antwort ist : " } {XPPEDIT 18 0 "F[14]" "&%\"FG6#\"#9" }{TEXT -1 6 "= 377 " }{TEXT 280 1 ")" }}{PARA 0 "" 0 "" {TEXT -1 79 "Leonardo Fibonacci schrieb noch a ndere, f\374r die Mathematik bedeutende, B\374cher :" }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 3 "- " }{TEXT 270 5 "1220 \+ " }{TEXT -1 4 ": \" " }{TEXT 271 19 "Practica geometriae" }{TEXT -1 53 " \", das sich mit Geometrie und Trigonometrie befasst." }}{PARA 0 "" 0 "" {TEXT -1 3 "- " }{TEXT 272 5 "1225 " }{TEXT -1 4 ": \" " } {TEXT 273 17 "Liber quadratorum" }{TEXT -1 65 " \" , das sich mit kubi schen Gleichungen und Kommastellen befasst." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 " " }}}{SECT 1 {PARA 259 "" 0 "" {TEXT 260 29 "Die Fibonacci-Folge mit M aple" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT 263 25 "Darstellung mit Variablen" } {TEXT -1 1 " " }{TEXT 264 1 ":" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "restart:with( combinat, fibonacci): " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 50 "Nat\374rlich k\366nnen wir di e Fibonacci-Folge auch mit " }{TEXT 282 10 "Variablen " }{TEXT -1 11 " darstellen." }}{PARA 0 "" 0 "" {TEXT -1 39 "Als Variable nehmen wir in diesem Fall " }{TEXT 283 2 "x " }{TEXT -1 1 ":" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 9 "Dann los:" }}{PARA 0 "" 0 "" {TEXT -1 54 "Wir verwend en wieder die \" seq-Schleife \",i = 1..10, " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "Punkte:=seq((fibonacci(i,x),i=1..10));" }}{PARA 12 " " 1 "" {XPPMATH 20 "6#>%'PunkteG6,\"\"\"%\"xG,&*$F'\"\"#F&F&F&,&*$F'\" \"$F&F'F*,(*$F'\"\"%F&F)F-F&F&,(*$F'\"\"&F&F,F0F'F-,**$F'\"\"'F&F/F3F) F6F&F&,**$F'\"\"(F&F2F6F,\"#5F'F0,,*$F'\"\")F&F5F9F/\"#:F)F:F&F&,,*$F' \"\"*F&F8F=F2\"#@F,\"#?F'F3" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 24 ".. und plotten das Ganze." }{MPLTEXT 1 0 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "plot(\{Punkte\},style=point,color=green); " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 13 "" 1 "" {INLPLOT "6&-%'CURVES G6#7S7$$!#5\"\"!$\"\"\"F*7$$!1nmm;p0k&*!#:F+7$$!1LL$3s%HaF0F+7$$!1******\\$*4)*\\F0F+7$$!1+++]_&\\c%F0F+7$$!1 +++]1aZTF0F+7$$!1mm;/#)[oPF0F+7$$!1LLL$=exJ$F0F+7$$!1LLLL2$f$HF0F+7$$! 1++]PYx\"\\#F0F+7$$!1MLLL7i)4#F0F+7$$!1****\\P'psm\"F0F+7$$!1****\\74_ c7F0F+7$$!1:LL$3x%z#)!#;F+7$$!1ILL3s$QM%FjoF+7$$!1^omm;zr)*!#=F+7$$\"1 WLLezw5VFjoF+7$$\"1.++v$Q#\\\")FjoF+7$$\"1NLLe\"*[H7F0F+7$$\"1++++dxd; F0F+7$$\"1,++D0xw?F0F+7$$\"1,+]i&p@[#F0F+7$$\"1+++vgHKHF0F+7$$\"1lmmmZ vOLF0F+7$$\"1,++]2goPF0F+7$$\"1KL$eR<*fTF0F+7$$\"1-++])Hxe%F0F+7$$\"1m m;H!o-*\\F0F+7$$\"1,+]7k.6aF0F+7$$\"1mmm;WTAeF0F+7$$\"1****\\i!*3`iF0F +7$$\"1NLLL*zym'F0F+7$$\"1OLL3N1#4(F0F+7$$\"1pm;HYt7vF0F+7$$\"1-+++xG* *yF0F+7$$\"1qmmT6KU$)F0F+7$$\"1OLLLbdQ()F0F+7$$\"1++]i`1h\"*F0F+7$$\"1 -+]P?Wl&*F0F+7$$\"#5F*F+-%&STYLEG6#%&POINTG-%'COLOURG6&%$RGBGF*$\"*+++ +\"!\")F*-%%VIEWG6$;F(Fht%(DEFAULTG" 2 365 365 365 5 0 1 0 2 6 0 4 2 1.000000 45.000000 45.000000 10020 10061 10056 10074 0 0 0 20030 0 12020 0 0 0 0 0 0 0 1 1 0 0 0 26994 29806 0 0 0 0 0 0 }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 27 "Das ist ja schon mal etwas." }}{PARA 0 "" 0 "" {TEXT -1 34 "Ich w\374rde allerdings vorschlagen, " }{TEXT 274 1 "x" } {TEXT -1 4 " zu " }{TEXT 275 10 "definieren" }{TEXT 276 1 "." }}{PARA 0 "" 0 "" {TEXT -1 15 "Setzen wir f\374r " }{TEXT 277 1 "x" }{TEXT -1 5 " mal " }{TEXT 278 1 "2" }{TEXT -1 5 " ein." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "x:=2:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "plot(\{Punkte\},style=point,color=blue);" }}{PARA 13 "" 1 "" {INLPLOT "6/-%'CURVESG6#7S7$$!#5\"\"!$\"\"\"F*7$$!1nmm;p0k&*!#:F+7$$!1 LL$3s%HaF0F+7$$!1******\\$*4)*\\F0F+7$$ !1+++]_&\\c%F0F+7$$!1+++]1aZTF0F+7$$!1mm;/#)[oPF0F+7$$!1LLL$=exJ$F0F+7 $$!1LLLL2$f$HF0F+7$$!1++]PYx\"\\#F0F+7$$!1MLLL7i)4#F0F+7$$!1****\\P'ps m\"F0F+7$$!1****\\74_c7F0F+7$$!1:LL$3x%z#)!#;F+7$$!1ILL3s$QM%FjoF+7$$! 1^omm;zr)*!#=F+7$$\"1WLLezw5VFjoF+7$$\"1.++v$Q#\\\")FjoF+7$$\"1NLLe\"* [H7F0F+7$$\"1++++dxd;F0F+7$$\"1,++D0xw?F0F+7$$\"1,+]i&p@[#F0F+7$$\"1++ +vgHKHF0F+7$$\"1lmmmZvOLF0F+7$$\"1,++]2goPF0F+7$$\"1KL$eR<*fTF0F+7$$\" 1-++])Hxe%F0F+7$$\"1mm;H!o-*\\F0F+7$$\"1,+]7k.6aF0F+7$$\"1mmm;WTAeF0F+ 7$$\"1****\\i!*3`iF0F+7$$\"1NLLL*zym'F0F+7$$\"1OLL3N1#4(F0F+7$$\"1pm;H Yt7vF0F+7$$\"1-+++xG**yF0F+7$$\"1qmmT6KU$)F0F+7$$\"1OLLLbdQ()F0F+7$$\" 1++]i`1h\"*F0F+7$$\"1-+]P?Wl&*F0F+7$$\"#5F*F+-F$6#7S7$F($\"\"#F*7$F.F^ u7$F2F^u7$F5F^u7$F8F^u7$F;F^u7$F>F^u7$FAF^u7$FDF^u7$FGF^u7$FJF^u7$FMF^ u7$FPF^u7$FSF^u7$FVF^u7$FYF^u7$FfnF^u7$FinF^u7$F\\oF^u7$F_oF^u7$FboF^u 7$FeoF^u7$FhoF^u7$F\\pF^u7$F_pF^u7$FcpF^u7$FfpF^u7$FipF^u7$F\\qF^u7$F_ qF^u7$FbqF^u7$FeqF^u7$FhqF^u7$F[rF^u7$F^rF^u7$FarF^u7$FdrF^u7$FgrF^u7$ FjrF^u7$F]sF^u7$F`sF^u7$FcsF^u7$FfsF^u7$FisF^u7$F\\tF^u7$F_tF^u7$FbtF^ u7$FetF^u7$FhtF^u-F$6#7S7$F($\"#qF*7$F.Fdx7$F2Fdx7$F5Fdx7$F8Fdx7$F;Fdx 7$F>Fdx7$FAFdx7$FDFdx7$FGFdx7$FJFdx7$FMFdx7$FPFdx7$FSFdx7$FVFdx7$FYFdx 7$FfnFdx7$FinFdx7$F\\oFdx7$F_oFdx7$FboFdx7$FeoFdx7$FhoFdx7$F\\pFdx7$F_ pFdx7$FcpFdx7$FfpFdx7$FipFdx7$F\\qFdx7$F_qFdx7$FbqFdx7$FeqFdx7$FhqFdx7 $F[rFdx7$F^rFdx7$FarFdx7$FdrFdx7$FgrFdx7$FjrFdx7$F]sFdx7$F`sFdx7$FcsFd x7$FfsFdx7$FisFdx7$F\\tFdx7$F_tFdx7$FbtFdx7$FetFdx7$FhtFdx-F$6#7S7$F($ \"#7F*7$F.Fj[l7$F2Fj[l7$F5Fj[l7$F8Fj[l7$F;Fj[l7$F>Fj[l7$FAFj[l7$FDFj[l 7$FGFj[l7$FJFj[l7$FMFj[l7$FPFj[l7$FSFj[l7$FVFj[l7$FYFj[l7$FfnFj[l7$Fin Fj[l7$F\\oFj[l7$F_oFj[l7$FboFj[l7$FeoFj[l7$FhoFj[l7$F\\pFj[l7$F_pFj[l7 $FcpFj[l7$FfpFj[l7$FipFj[l7$F\\qFj[l7$F_qFj[l7$FbqFj[l7$FeqFj[l7$FhqFj [l7$F[rFj[l7$F^rFj[l7$FarFj[l7$FdrFj[l7$FgrFj[l7$FjrFj[l7$F]sFj[l7$F`s Fj[l7$FcsFj[l7$FfsFj[l7$FisFj[l7$F\\tFj[l7$F_tFj[l7$FbtFj[l7$FetFj[l7$ FhtFj[l-F$6#7S7$F($\"\"&F*7$F.F`_l7$F2F`_l7$F5F`_l7$F8F`_l7$F;F`_l7$F> F`_l7$FAF`_l7$FDF`_l7$FGF`_l7$FJF`_l7$FMF`_l7$FPF`_l7$FSF`_l7$FVF`_l7$ FYF`_l7$FfnF`_l7$FinF`_l7$F\\oF`_l7$F_oF`_l7$FboF`_l7$FeoF`_l7$FhoF`_l 7$F\\pF`_l7$F_pF`_l7$FcpF`_l7$FfpF`_l7$FipF`_l7$F\\qF`_l7$F_qF`_l7$Fbq F`_l7$FeqF`_l7$FhqF`_l7$F[rF`_l7$F^rF`_l7$FarF`_l7$FdrF`_l7$FgrF`_l7$F jrF`_l7$F]sF`_l7$F`sF`_l7$FcsF`_l7$FfsF`_l7$FisF`_l7$F\\tF`_l7$F_tF`_l 7$FbtF`_l7$FetF`_l7$FhtF`_l-F$6#7S7$F($\"#HF*7$F.Ffbl7$F2Ffbl7$F5Ffbl7 $F8Ffbl7$F;Ffbl7$F>Ffbl7$FAFfbl7$FDFfbl7$FGFfbl7$FJFfbl7$FMFfbl7$FPFfb l7$FSFfbl7$FVFfbl7$FYFfbl7$FfnFfbl7$FinFfbl7$F\\oFfbl7$F_oFfbl7$FboFfb l7$FeoFfbl7$FhoFfbl7$F\\pFfbl7$F_pFfbl7$FcpFfbl7$FfpFfbl7$FipFfbl7$F\\ qFfbl7$F_qFfbl7$FbqFfbl7$FeqFfbl7$FhqFfbl7$F[rFfbl7$F^rFfbl7$FarFfbl7$ FdrFfbl7$FgrFfbl7$FjrFfbl7$F]sFfbl7$F`sFfbl7$FcsFfbl7$FfsFfbl7$FisFfbl 7$F\\tFfbl7$F_tFfbl7$FbtFfbl7$FetFfbl7$FhtFfbl-F$6#7S7$F($\"%yBF*7$F.F \\fl7$F2F\\fl7$F5F\\fl7$F8F\\fl7$F;F\\fl7$F>F\\fl7$FAF\\fl7$FDF\\fl7$F GF\\fl7$FJF\\fl7$FMF\\fl7$FPF\\fl7$FSF\\fl7$FVF\\fl7$FYF\\fl7$FfnF\\fl 7$FinF\\fl7$F\\oF\\fl7$F_oF\\fl7$FboF\\fl7$FeoF\\fl7$FhoF\\fl7$F\\pF\\ fl7$F_pF\\fl7$FcpF\\fl7$FfpF\\fl7$FipF\\fl7$F\\qF\\fl7$F_qF\\fl7$FbqF \\fl7$FeqF\\fl7$FhqF\\fl7$F[rF\\fl7$F^rF\\fl7$FarF\\fl7$FdrF\\fl7$FgrF \\fl7$FjrF\\fl7$F]sF\\fl7$F`sF\\fl7$FcsF\\fl7$FfsF\\fl7$FisF\\fl7$F\\t F\\fl7$F_tF\\fl7$FbtF\\fl7$FetF\\fl7$FhtF\\fl-F$6#7S7$F($\"$&)*F*7$F.F bil7$F2Fbil7$F5Fbil7$F8Fbil7$F;Fbil7$F>Fbil7$FAFbil7$FDFbil7$FGFbil7$F JFbil7$FMFbil7$FPFbil7$FSFbil7$FVFbil7$FYFbil7$FfnFbil7$FinFbil7$F\\oF bil7$F_oFbil7$FboFbil7$FeoFbil7$FhoFbil7$F\\pFbil7$F_pFbil7$FcpFbil7$F fpFbil7$FipFbil7$F\\qFbil7$F_qFbil7$FbqFbil7$FeqFbil7$FhqFbil7$F[rFbil 7$F^rFbil7$FarFbil7$FdrFbil7$FgrFbil7$FjrFbil7$F]sFbil7$F`sFbil7$FcsFb il7$FfsFbil7$FisFbil7$F\\tFbil7$F_tFbil7$FbtFbil7$FetFbil7$FhtFbil-F$6 #7S7$F($\"$3%F*7$F.Fh\\m7$F2Fh\\m7$F5Fh\\m7$F8Fh\\m7$F;Fh\\m7$F>Fh\\m7 $FAFh\\m7$FDFh\\m7$FGFh\\m7$FJFh\\m7$FMFh\\m7$FPFh\\m7$FSFh\\m7$FVFh\\ m7$FYFh\\m7$FfnFh\\m7$FinFh\\m7$F\\oFh\\m7$F_oFh\\m7$FboFh\\m7$FeoFh\\ m7$FhoFh\\m7$F\\pFh\\m7$F_pFh\\m7$FcpFh\\m7$FfpFh\\m7$FipFh\\m7$F\\qFh \\m7$F_qFh\\m7$FbqFh\\m7$FeqFh\\m7$FhqFh\\m7$F[rFh\\m7$F^rFh\\m7$FarFh \\m7$FdrFh\\m7$FgrFh\\m7$FjrFh\\m7$F]sFh\\m7$F`sFh\\m7$FcsFh\\m7$FfsFh \\m7$FisFh\\m7$F\\tFh\\m7$F_tFh\\m7$FbtFh\\m7$FetFh\\m7$FhtFh\\m-F$6#7 S7$F($\"$p\"F*7$F.F^`m7$F2F^`m7$F5F^`m7$F8F^`m7$F;F^`m7$F>F^`m7$FAF^`m 7$FDF^`m7$FGF^`m7$FJF^`m7$FMF^`m7$FPF^`m7$FSF^`m7$FVF^`m7$FYF^`m7$FfnF ^`m7$FinF^`m7$F\\oF^`m7$F_oF^`m7$FboF^`m7$FeoF^`m7$FhoF^`m7$F\\pF^`m7$ F_pF^`m7$FcpF^`m7$FfpF^`m7$FipF^`m7$F\\qF^`m7$F_qF^`m7$FbqF^`m7$FeqF^` m7$FhqF^`m7$F[rF^`m7$F^rF^`m7$FarF^`m7$FdrF^`m7$FgrF^`m7$FjrF^`m7$F]sF ^`m7$F`sF^`m7$FcsF^`m7$FfsF^`m7$FisF^`m7$F\\tF^`m7$F_tF^`m7$FbtF^`m7$F etF^`m7$FhtF^`m-%&STYLEG6#%&POINTG-%'COLOURG6&%$RGBGF*F*$\"*++++\"!\") -%%VIEWG6$;F(Fht%(DEFAULTG" 2 365 365 365 5 0 1 0 2 6 0 4 2 1.000000 45.000000 45.000000 10020 10061 10056 10074 0 0 0 20030 0 12020 0 0 0 0 0 0 0 1 1 0 0 0 16416 0 0 0 0 0 0 0 }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 36 "So sieht das Ganze schon besser aus." }}{PARA 0 "" 0 "" {TEXT -1 44 "Schauen wir mal, wie sich das Schaubild bei " }{TEXT 279 7 "x = 10 " }{TEXT -1 8 "verh\344lt." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "x:=10:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "plot(\{Pun kte\},style=point,color=blue);" }}{PARA 13 "" 1 "" {INLPLOT "6/-%'CURV ESG6#7S7$$!#5\"\"!$\"*,5:2\"F*7$$!1nmm;p0k&*!#:F+7$$!1LL$3s%HaF0F+7$$!1******\\$*4)*\\F0F+7$$!1+++]_&\\c%F0F+ 7$$!1+++]1aZTF0F+7$$!1mm;/#)[oPF0F+7$$!1LLL$=exJ$F0F+7$$!1LLLL2$f$HF0F +7$$!1++]PYx\"\\#F0F+7$$!1MLLL7i)4#F0F+7$$!1****\\P'psm\"F0F+7$$!1**** \\74_c7F0F+7$$!1:LL$3x%z#)!#;F+7$$!1ILL3s$QM%FjoF+7$$!1^omm;zr)*!#=F+7 $$\"1WLLezw5VFjoF+7$$\"1.++v$Q#\\\")FjoF+7$$\"1NLLe\"*[H7F0F+7$$\"1+++ +dxd;F0F+7$$\"1,++D0xw?F0F+7$$\"1,+]i&p@[#F0F+7$$\"1+++vgHKHF0F+7$$\"1 lmmmZvOLF0F+7$$\"1,++]2goPF0F+7$$\"1KL$eR<*fTF0F+7$$\"1-++])Hxe%F0F+7$ $\"1mm;H!o-*\\F0F+7$$\"1,+]7k.6aF0F+7$$\"1mmm;WTAeF0F+7$$\"1****\\i!*3 `iF0F+7$$\"1NLLL*zym'F0F+7$$\"1OLL3N1#4(F0F+7$$\"1pm;HYt7vF0F+7$$\"1-+ ++xG**yF0F+7$$\"1qmmT6KU$)F0F+7$$\"1OLLLbdQ()F0F+7$$\"1++]i`1h\"*F0F+7 $$\"1-+]P?Wl&*F0F+7$$\"#5F*F+-F$6#7S7$F($\"+]+7#3\"F*7$F.F^u7$F2F^u7$F 5F^u7$F8F^u7$F;F^u7$F>F^u7$FAF^u7$FDF^u7$FGF^u7$FJF^u7$FMF^u7$FPF^u7$F SF^u7$FVF^u7$FYF^u7$FfnF^u7$FinF^u7$F\\oF^u7$F_oF^u7$FboF^u7$FeoF^u7$F hoF^u7$F\\pF^u7$F_pF^u7$FcpF^u7$FfpF^u7$FipF^u7$F\\qF^u7$F_qF^u7$FbqF^ u7$FeqF^u7$FhqF^u7$F[rF^u7$F^rF^u7$FarF^u7$FdrF^u7$FgrF^u7$FjrF^u7$F]s F^u7$F`sF^u7$FcsF^u7$FfsF^u7$FisF^u7$F\\tF^u7$F_tF^u7$FbtF^u7$FetF^u7$ FhtF^u-F$6#7S7$F($\"%?5F*7$F.Fdx7$F2Fdx7$F5Fdx7$F8Fdx7$F;Fdx7$F>Fdx7$F AFdx7$FDFdx7$FGFdx7$FJFdx7$FMFdx7$FPFdx7$FSFdx7$FVFdx7$FYFdx7$FfnFdx7$ FinFdx7$F\\oFdx7$F_oFdx7$FboFdx7$FeoFdx7$FhoFdx7$F\\pFdx7$F_pFdx7$FcpF dx7$FfpFdx7$FipFdx7$F\\qFdx7$F_qFdx7$FbqFdx7$FeqFdx7$FhqFdx7$F[rFdx7$F ^rFdx7$FarFdx7$FdrFdx7$FgrFdx7$FjrFdx7$F]sFdx7$F`sFdx7$FcsFdx7$FfsFdx7 $FisFdx7$F\\tFdx7$F_tFdx7$FbtFdx7$FetFdx7$FhtFdx-F$6#7S7$F($\"&,.\"F*7 $F.Fj[l7$F2Fj[l7$F5Fj[l7$F8Fj[l7$F;Fj[l7$F>Fj[l7$FAFj[l7$FDFj[l7$FGFj[ l7$FJFj[l7$FMFj[l7$FPFj[l7$FSFj[l7$FVFj[l7$FYFj[l7$FfnFj[l7$FinFj[l7$F \\oFj[l7$F_oFj[l7$FboFj[l7$FeoFj[l7$FhoFj[l7$F\\pFj[l7$F_pFj[l7$FcpFj[ l7$FfpFj[l7$FipFj[l7$F\\qFj[l7$F_qFj[l7$FbqFj[l7$FeqFj[l7$FhqFj[l7$F[r Fj[l7$F^rFj[l7$FarFj[l7$FdrFj[l7$FgrFj[l7$FjrFj[l7$F]sFj[l7$F`sFj[l7$F csFj[l7$FfsFj[l7$FisFj[l7$F\\tFj[l7$F_tFj[l7$FbtFj[l7$FetFj[l7$FhtFj[l -F$6#7S7$F($\"'IS5F*7$F.F`_l7$F2F`_l7$F5F`_l7$F8F`_l7$F;F`_l7$F>F`_l7$ FAF`_l7$FDF`_l7$FGF`_l7$FJF`_l7$FMF`_l7$FPF`_l7$FSF`_l7$FVF`_l7$FYF`_l 7$FfnF`_l7$FinF`_l7$F\\oF`_l7$F_oF`_l7$FboF`_l7$FeoF`_l7$FhoF`_l7$F\\p F`_l7$F_pF`_l7$FcpF`_l7$FfpF`_l7$FipF`_l7$F\\qF`_l7$F_qF`_l7$FbqF`_l7$ FeqF`_l7$FhqF`_l7$F[rF`_l7$F^rF`_l7$FarF`_l7$FdrF`_l7$FgrF`_l7$FjrF`_l 7$F]sF`_l7$F`sF`_l7$FcsF`_l7$FfsF`_l7$FisF`_l7$F\\tF`_l7$F_tF`_l7$FbtF `_l7$FetF`_l7$FhtF`_l-F$6#7S7$F($\"(,10\"F*7$F.Ffbl7$F2Ffbl7$F5Ffbl7$F 8Ffbl7$F;Ffbl7$F>Ffbl7$FAFfbl7$FDFfbl7$FGFfbl7$FJFfbl7$FMFfbl7$FPFfbl7 $FSFfbl7$FVFfbl7$FYFfbl7$FfnFfbl7$FinFfbl7$F\\oFfbl7$F_oFfbl7$FboFfbl7 $FeoFfbl7$FhoFfbl7$F\\pFfbl7$F_pFfbl7$FcpFfbl7$FfpFfbl7$FipFfbl7$F\\qF fbl7$F_qFfbl7$FbqFfbl7$FeqFfbl7$FhqFfbl7$F[rFfbl7$F^rFfbl7$FarFfbl7$Fd rFfbl7$FgrFfbl7$FjrFfbl7$F]sFfbl7$F`sFfbl7$FcsFfbl7$FfsFfbl7$FisFfbl7$ F\\tFfbl7$F_tFfbl7$FbtFfbl7$FetFfbl7$FhtFfbl-F$6#7S7$F($\")S+h5F*7$F.F \\fl7$F2F\\fl7$F5F\\fl7$F8F\\fl7$F;F\\fl7$F>F\\fl7$FAF\\fl7$FDF\\fl7$F GF\\fl7$FJF\\fl7$FMF\\fl7$FPF\\fl7$FSF\\fl7$FVF\\fl7$FYF\\fl7$FfnF\\fl 7$FinF\\fl7$F\\oF\\fl7$F_oF\\fl7$FboF\\fl7$FeoF\\fl7$FhoF\\fl7$F\\pF\\ fl7$F_pF\\fl7$FcpF\\fl7$FfpF\\fl7$FipF\\fl7$F\\qF\\fl7$F_qF\\fl7$FbqF \\fl7$FeqF\\fl7$FhqF\\fl7$F[rF\\fl7$F^rF\\fl7$FarF\\fl7$FdrF\\fl7$FgrF \\fl7$FjrF\\fl7$F]sF\\fl7$F`sF\\fl7$FcsF\\fl7$FfsF\\fl7$FisF\\fl7$F\\t F\\fl7$F_tF\\fl7$FbtF\\fl7$FetF\\fl7$FhtF\\fl-F$6#7S7$F($\"\"\"F*7$F.F bil7$F2Fbil7$F5Fbil7$F8Fbil7$F;Fbil7$F>Fbil7$FAFbil7$FDFbil7$FGFbil7$F JFbil7$FMFbil7$FPFbil7$FSFbil7$FVFbil7$FYFbil7$FfnFbil7$FinFbil7$F\\oF bil7$F_oFbil7$FboFbil7$FeoFbil7$FhoFbil7$F\\pFbil7$F_pFbil7$FcpFbil7$F fpFbil7$FipFbil7$F\\qFbil7$F_qFbil7$FbqFbil7$FeqFbil7$FhqFbil7$F[rFbil 7$F^rFbil7$FarFbil7$FdrFbil7$FgrFbil7$FjrFbil7$F]sFbil7$F`sFbil7$FcsFb il7$FfsFbil7$FisFbil7$F\\tFbil7$F_tFbil7$FbtFbil7$FetFbil7$FhtFbil-F$6 #7S7$F(Fht7$F.Fht7$F2Fht7$F5Fht7$F8Fht7$F;Fht7$F>Fht7$FAFht7$FDFht7$FG Fht7$FJFht7$FMFht7$FPFht7$FSFht7$FVFht7$FYFht7$FfnFht7$FinFht7$F\\oFht 7$F_oFht7$FboFht7$FeoFht7$FhoFht7$F\\pFht7$F_pFht7$FcpFht7$FfpFht7$Fip Fht7$F\\qFht7$F_qFht7$FbqFht7$FeqFht7$FhqFht7$F[rFht7$F^rFht7$FarFht7$ FdrFht7$FgrFht7$FjrFht7$F]sFht7$F`sFht7$FcsFht7$FfsFht7$FisFht7$F\\tFh t7$F_tFht7$FbtFht7$FetFht7$FhtFht-F$6#7S7$F($\"$,\"F*7$F.F\\`m7$F2F\\` m7$F5F\\`m7$F8F\\`m7$F;F\\`m7$F>F\\`m7$FAF\\`m7$FDF\\`m7$FGF\\`m7$FJF \\`m7$FMF\\`m7$FPF\\`m7$FSF\\`m7$FVF\\`m7$FYF\\`m7$FfnF\\`m7$FinF\\`m7 $F\\oF\\`m7$F_oF\\`m7$FboF\\`m7$FeoF\\`m7$FhoF\\`m7$F\\pF\\`m7$F_pF\\` m7$FcpF\\`m7$FfpF\\`m7$FipF\\`m7$F\\qF\\`m7$F_qF\\`m7$FbqF\\`m7$FeqF\\ `m7$FhqF\\`m7$F[rF\\`m7$F^rF\\`m7$FarF\\`m7$FdrF\\`m7$FgrF\\`m7$FjrF\\ `m7$F]sF\\`m7$F`sF\\`m7$FcsF\\`m7$FfsF\\`m7$FisF\\`m7$F\\tF\\`m7$F_tF \\`m7$FbtF\\`m7$FetF\\`m7$FhtF\\`m-%'COLOURG6&%$RGBGF*F*$\"*++++\"!\") -%&STYLEG6#%&POINTG-%%VIEWG6$;F(Fht%(DEFAULTG" 2 365 365 365 5 0 1 0 2 6 0 4 2 1.000000 45.000000 45.000000 10020 10061 10056 10074 0 0 0 20030 0 12020 0 0 0 0 0 0 0 1 1 0 0 0 311 184 0 0 0 0 0 0 }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 81 "So, nachdem wir uns jetzt die beiden Plot s angeschaut haben, k\366nnen wir wohl auf " }{TEXT 287 23 "exponentie lles Wachstum" }{TEXT -1 11 " schlie\337en." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 76 "Jetzt wollen wir nochmal schaue n , wie sich das Schaubild verh\344lt, wenn wir " }{TEXT 286 9 "x nega tiv" }{TEXT -1 17 " belegen plotten." }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "restart:with(combinat, fibonacci): " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "Punkte:=seq(fibonacci(i ,x),i=1..10);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%'PunkteG6,\"\"\"%\" xG,&*$F'\"\"#F&F&F&,&*$F'\"\"$F&F'F*,(*$F'\"\"%F&F)F-F&F&,(*$F'\"\"&F& F,F0F'F-,**$F'\"\"'F&F/F3F)F6F&F&,**$F'\"\"(F&F2F6F,\"#5F'F0,,*$F'\"\" )F&F5F9F/\"#:F)F:F&F&,,*$F'\"\"*F&F8F=F2\"#@F,\"#?F'F3" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 37 "Wir nehmen diesmal ein negatives x..." } {MPLTEXT 1 0 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "x:=-2:" }}{PARA 0 "" 0 "" {TEXT -1 31 "..und lassen den Plot ausgeben." }{MPLTEXT 1 0 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "plot(\{Punkte\},style=point, color=orange);" }}{PARA 13 "" 1 "" {INLPLOT "6/-%'CURVESG6#7S7$$!#5\" \"!$!$3%F*7$$!1nmm;p0k&*!#:F+7$$!1LL$3s %HaF0F+7$$!1******\\$*4)*\\F0F+7$$!1+++]_&\\c%F0F+7$$!1+++]1aZTF0F+7$$ !1mm;/#)[oPF0F+7$$!1LLL$=exJ$F0F+7$$!1LLLL2$f$HF0F+7$$!1++]PYx\"\\#F0F +7$$!1MLLL7i)4#F0F+7$$!1****\\P'psm\"F0F+7$$!1****\\74_c7F0F+7$$!1:LL$ 3x%z#)!#;F+7$$!1ILL3s$QM%FjoF+7$$!1^omm;zr)*!#=F+7$$\"1WLLezw5VFjoF+7$ $\"1.++v$Q#\\\")FjoF+7$$\"1NLLe\"*[H7F0F+7$$\"1++++dxd;F0F+7$$\"1,++D0 xw?F0F+7$$\"1,+]i&p@[#F0F+7$$\"1+++vgHKHF0F+7$$\"1lmmmZvOLF0F+7$$\"1,+ +]2goPF0F+7$$\"1KL$eR<*fTF0F+7$$\"1-++])Hxe%F0F+7$$\"1mm;H!o-*\\F0F+7$ $\"1,+]7k.6aF0F+7$$\"1mmm;WTAeF0F+7$$\"1****\\i!*3`iF0F+7$$\"1NLLL*zym 'F0F+7$$\"1OLL3N1#4(F0F+7$$\"1pm;HYt7vF0F+7$$\"1-+++xG**yF0F+7$$\"1qmm T6KU$)F0F+7$$\"1OLLLbdQ()F0F+7$$\"1++]i`1h\"*F0F+7$$\"1-+]P?Wl&*F0F+7$ $\"#5F*F+-F$6#7S7$F($\"$&)*F*7$F.F^u7$F2F^u7$F5F^u7$F8F^u7$F;F^u7$F>F^ u7$FAF^u7$FDF^u7$FGF^u7$FJF^u7$FMF^u7$FPF^u7$FSF^u7$FVF^u7$FYF^u7$FfnF ^u7$FinF^u7$F\\oF^u7$F_oF^u7$FboF^u7$FeoF^u7$FhoF^u7$F\\pF^u7$F_pF^u7$ FcpF^u7$FfpF^u7$FipF^u7$F\\qF^u7$F_qF^u7$FbqF^u7$FeqF^u7$FhqF^u7$F[rF^ u7$F^rF^u7$FarF^u7$FdrF^u7$FgrF^u7$FjrF^u7$F]sF^u7$F`sF^u7$FcsF^u7$Ffs F^u7$FisF^u7$F\\tF^u7$F_tF^u7$FbtF^u7$FetF^u7$FhtF^u-F$6#7S7$F($!%yBF* 7$F.Fdx7$F2Fdx7$F5Fdx7$F8Fdx7$F;Fdx7$F>Fdx7$FAFdx7$FDFdx7$FGFdx7$FJFdx 7$FMFdx7$FPFdx7$FSFdx7$FVFdx7$FYFdx7$FfnFdx7$FinFdx7$F\\oFdx7$F_oFdx7$ FboFdx7$FeoFdx7$FhoFdx7$F\\pFdx7$F_pFdx7$FcpFdx7$FfpFdx7$FipFdx7$F\\qF dx7$F_qFdx7$FbqFdx7$FeqFdx7$FhqFdx7$F[rFdx7$F^rFdx7$FarFdx7$FdrFdx7$Fg rFdx7$FjrFdx7$F]sFdx7$F`sFdx7$FcsFdx7$FfsFdx7$FisFdx7$F\\tFdx7$F_tFdx7 $FbtFdx7$FetFdx7$FhtFdx-F$6#7S7$F($\"$p\"F*7$F.Fj[l7$F2Fj[l7$F5Fj[l7$F 8Fj[l7$F;Fj[l7$F>Fj[l7$FAFj[l7$FDFj[l7$FGFj[l7$FJFj[l7$FMFj[l7$FPFj[l7 $FSFj[l7$FVFj[l7$FYFj[l7$FfnFj[l7$FinFj[l7$F\\oFj[l7$F_oFj[l7$FboFj[l7 $FeoFj[l7$FhoFj[l7$F\\pFj[l7$F_pFj[l7$FcpFj[l7$FfpFj[l7$FipFj[l7$F\\qF j[l7$F_qFj[l7$FbqFj[l7$FeqFj[l7$FhqFj[l7$F[rFj[l7$F^rFj[l7$FarFj[l7$Fd rFj[l7$FgrFj[l7$FjrFj[l7$F]sFj[l7$F`sFj[l7$FcsFj[l7$FfsFj[l7$FisFj[l7$ F\\tFj[l7$F_tFj[l7$FbtFj[l7$FetFj[l7$FhtFj[l-F$6#7S7$F($\"\"\"F*7$F.F` _l7$F2F`_l7$F5F`_l7$F8F`_l7$F;F`_l7$F>F`_l7$FAF`_l7$FDF`_l7$FGF`_l7$FJ F`_l7$FMF`_l7$FPF`_l7$FSF`_l7$FVF`_l7$FYF`_l7$FfnF`_l7$FinF`_l7$F\\oF` _l7$F_oF`_l7$FboF`_l7$FeoF`_l7$FhoF`_l7$F\\pF`_l7$F_pF`_l7$FcpF`_l7$Ff pF`_l7$FipF`_l7$F\\qF`_l7$F_qF`_l7$FbqF`_l7$FeqF`_l7$FhqF`_l7$F[rF`_l7 $F^rF`_l7$FarF`_l7$FdrF`_l7$FgrF`_l7$FjrF`_l7$F]sF`_l7$F`sF`_l7$FcsF`_ l7$FfsF`_l7$FisF`_l7$F\\tF`_l7$F_tF`_l7$FbtF`_l7$FetF`_l7$FhtF`_l-F$6# 7S7$F($!\"#F*7$F.Ffbl7$F2Ffbl7$F5Ffbl7$F8Ffbl7$F;Ffbl7$F>Ffbl7$FAFfbl7 $FDFfbl7$FGFfbl7$FJFfbl7$FMFfbl7$FPFfbl7$FSFfbl7$FVFfbl7$FYFfbl7$FfnFf bl7$FinFfbl7$F\\oFfbl7$F_oFfbl7$FboFfbl7$FeoFfbl7$FhoFfbl7$F\\pFfbl7$F _pFfbl7$FcpFfbl7$FfpFfbl7$FipFfbl7$F\\qFfbl7$F_qFfbl7$FbqFfbl7$FeqFfbl 7$FhqFfbl7$F[rFfbl7$F^rFfbl7$FarFfbl7$FdrFfbl7$FgrFfbl7$FjrFfbl7$F]sFf bl7$F`sFfbl7$FcsFfbl7$FfsFfbl7$FisFfbl7$F\\tFfbl7$F_tFfbl7$FbtFfbl7$Fe tFfbl7$FhtFfbl-F$6#7S7$F($\"\"&F*7$F.F\\fl7$F2F\\fl7$F5F\\fl7$F8F\\fl7 $F;F\\fl7$F>F\\fl7$FAF\\fl7$FDF\\fl7$FGF\\fl7$FJF\\fl7$FMF\\fl7$FPF\\f l7$FSF\\fl7$FVF\\fl7$FYF\\fl7$FfnF\\fl7$FinF\\fl7$F\\oF\\fl7$F_oF\\fl7 $FboF\\fl7$FeoF\\fl7$FhoF\\fl7$F\\pF\\fl7$F_pF\\fl7$FcpF\\fl7$FfpF\\fl 7$FipF\\fl7$F\\qF\\fl7$F_qF\\fl7$FbqF\\fl7$FeqF\\fl7$FhqF\\fl7$F[rF\\f l7$F^rF\\fl7$FarF\\fl7$FdrF\\fl7$FgrF\\fl7$FjrF\\fl7$F]sF\\fl7$F`sF\\f l7$FcsF\\fl7$FfsF\\fl7$FisF\\fl7$F\\tF\\fl7$F_tF\\fl7$FbtF\\fl7$FetF\\ fl7$FhtF\\fl-F$6#7S7$F($!#7F*7$F.Fbil7$F2Fbil7$F5Fbil7$F8Fbil7$F;Fbil7 $F>Fbil7$FAFbil7$FDFbil7$FGFbil7$FJFbil7$FMFbil7$FPFbil7$FSFbil7$FVFbi l7$FYFbil7$FfnFbil7$FinFbil7$F\\oFbil7$F_oFbil7$FboFbil7$FeoFbil7$FhoF bil7$F\\pFbil7$F_pFbil7$FcpFbil7$FfpFbil7$FipFbil7$F\\qFbil7$F_qFbil7$ FbqFbil7$FeqFbil7$FhqFbil7$F[rFbil7$F^rFbil7$FarFbil7$FdrFbil7$FgrFbil 7$FjrFbil7$F]sFbil7$F`sFbil7$FcsFbil7$FfsFbil7$FisFbil7$F\\tFbil7$F_tF bil7$FbtFbil7$FetFbil7$FhtFbil-F$6#7S7$F($\"#HF*7$F.Fh\\m7$F2Fh\\m7$F5 Fh\\m7$F8Fh\\m7$F;Fh\\m7$F>Fh\\m7$FAFh\\m7$FDFh\\m7$FGFh\\m7$FJFh\\m7$ FMFh\\m7$FPFh\\m7$FSFh\\m7$FVFh\\m7$FYFh\\m7$FfnFh\\m7$FinFh\\m7$F\\oF h\\m7$F_oFh\\m7$FboFh\\m7$FeoFh\\m7$FhoFh\\m7$F\\pFh\\m7$F_pFh\\m7$Fcp Fh\\m7$FfpFh\\m7$FipFh\\m7$F\\qFh\\m7$F_qFh\\m7$FbqFh\\m7$FeqFh\\m7$Fh qFh\\m7$F[rFh\\m7$F^rFh\\m7$FarFh\\m7$FdrFh\\m7$FgrFh\\m7$FjrFh\\m7$F] sFh\\m7$F`sFh\\m7$FcsFh\\m7$FfsFh\\m7$FisFh\\m7$F\\tFh\\m7$F_tFh\\m7$F btFh\\m7$FetFh\\m7$FhtFh\\m-F$6#7S7$F($!#qF*7$F.F^`m7$F2F^`m7$F5F^`m7$ F8F^`m7$F;F^`m7$F>F^`m7$FAF^`m7$FDF^`m7$FGF^`m7$FJF^`m7$FMF^`m7$FPF^`m 7$FSF^`m7$FVF^`m7$FYF^`m7$FfnF^`m7$FinF^`m7$F\\oF^`m7$F_oF^`m7$FboF^`m 7$FeoF^`m7$FhoF^`m7$F\\pF^`m7$F_pF^`m7$FcpF^`m7$FfpF^`m7$FipF^`m7$F\\q F^`m7$F_qF^`m7$FbqF^`m7$FeqF^`m7$FhqF^`m7$F[rF^`m7$F^rF^`m7$FarF^`m7$F drF^`m7$FgrF^`m7$FjrF^`m7$F]sF^`m7$F`sF^`m7$FcsF^`m7$FfsF^`m7$FisF^`m7 $F\\tF^`m7$F_tF^`m7$FbtF^`m7$FetF^`m7$FhtF^`m-%&STYLEG6#%&POINTG-%'COL OURG6&%$RGBG$\")+++!)!\")$\")Vyg>FjcmF[dm-%%VIEWG6$;F(Fht%(DEFAULTG" 2 365 365 365 5 0 1 0 2 6 0 4 2 1.000000 45.000000 45.000000 10020 10061 10056 10074 0 0 0 20030 0 12020 0 0 0 0 0 0 0 1 1 0 0 0 -12478 -798 0 0 0 0 0 0 }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 50 "Doch, dieser P lot sieht ziemlich oszillierend aus." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 11 "Wollen wir " }{TEXT 284 1 "x" }{TEXT -1 13 " noch einmal " }{TEXT 285 7 "gr\366\337er " }{TEXT -1 7 "machen ." }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "x:=- 8:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "plot(\{Punkte\},style =point,color=orange);" }}{PARA 13 "" 1 "" {INLPLOT "6/-%'CURVESG6#7S7$ $!#5\"\"!$!*_Lp^\"F*7$$!1nmm;p0k&*!#:F+7$$!1LL$3s%HaF0F+7$$!1******\\$*4)*\\F0F+7$$!1+++]_&\\c%F0F+7$$!1+++]1 aZTF0F+7$$!1mm;/#)[oPF0F+7$$!1LLL$=exJ$F0F+7$$!1LLLL2$f$HF0F+7$$!1++]P Yx\"\\#F0F+7$$!1MLLL7i)4#F0F+7$$!1****\\P'psm\"F0F+7$$!1****\\74_c7F0F +7$$!1:LL$3x%z#)!#;F+7$$!1ILL3s$QM%FjoF+7$$!1^omm;zr)*!#=F+7$$\"1WLLez w5VFjoF+7$$\"1.++v$Q#\\\")FjoF+7$$\"1NLLe\"*[H7F0F+7$$\"1++++dxd;F0F+7 $$\"1,++D0xw?F0F+7$$\"1,+]i&p@[#F0F+7$$\"1+++vgHKHF0F+7$$\"1lmmmZvOLF0 F+7$$\"1,++]2goPF0F+7$$\"1KL$eR<*fTF0F+7$$\"1-++])Hxe%F0F+7$$\"1mm;H!o -*\\F0F+7$$\"1,+]7k.6aF0F+7$$\"1mmm;WTAeF0F+7$$\"1****\\i!*3`iF0F+7$$ \"1NLLL*zym'F0F+7$$\"1OLL3N1#4(F0F+7$$\"1pm;HYt7vF0F+7$$\"1-+++xG**yF0 F+7$$\"1qmmT6KU$)F0F+7$$\"1OLLLbdQ()F0F+7$$\"1++]i`1h\"*F0F+7$$\"1-+]P ?Wl&*F0F+7$$\"#5F*F+-F$6#7S7$F($\")0Vn=F*7$F.F^u7$F2F^u7$F5F^u7$F8F^u7 $F;F^u7$F>F^u7$FAF^u7$FDF^u7$FGF^u7$FJF^u7$FMF^u7$FPF^u7$FSF^u7$FVF^u7 $FYF^u7$FfnF^u7$FinF^u7$F\\oF^u7$F_oF^u7$FboF^u7$FeoF^u7$FhoF^u7$F\\pF ^u7$F_pF^u7$FcpF^u7$FfpF^u7$FipF^u7$F\\qF^u7$F_qF^u7$FbqF^u7$FeqF^u7$F hqF^u7$F[rF^u7$F^rF^u7$FarF^u7$FdrF^u7$FgrF^u7$FjrF^u7$F]sF^u7$F`sF^u7 $FcsF^u7$FfsF^u7$FisF^u7$F\\tF^u7$F_tF^u7$FbtF^u7$FetF^u7$FhtF^u-F$6#7 S7$F($\"\"\"F*7$F.Fdx7$F2Fdx7$F5Fdx7$F8Fdx7$F;Fdx7$F>Fdx7$FAFdx7$FDFdx 7$FGFdx7$FJFdx7$FMFdx7$FPFdx7$FSFdx7$FVFdx7$FYFdx7$FfnFdx7$FinFdx7$F\\ oFdx7$F_oFdx7$FboFdx7$FeoFdx7$FhoFdx7$F\\pFdx7$F_pFdx7$FcpFdx7$FfpFdx7 $FipFdx7$F\\qFdx7$F_qFdx7$FbqFdx7$FeqFdx7$FhqFdx7$F[rFdx7$F^rFdx7$FarF dx7$FdrFdx7$FgrFdx7$FjrFdx7$F]sFdx7$F`sFdx7$FcsFdx7$FfsFdx7$FisFdx7$F \\tFdx7$F_tFdx7$FbtFdx7$FetFdx7$FhtFdx-F$6#7S7$F($!\")F*7$F.Fj[l7$F2Fj [l7$F5Fj[l7$F8Fj[l7$F;Fj[l7$F>Fj[l7$FAFj[l7$FDFj[l7$FGFj[l7$FJFj[l7$FM Fj[l7$FPFj[l7$FSFj[l7$FVFj[l7$FYFj[l7$FfnFj[l7$FinFj[l7$F\\oFj[l7$F_oF j[l7$FboFj[l7$FeoFj[l7$FhoFj[l7$F\\pFj[l7$F_pFj[l7$FcpFj[l7$FfpFj[l7$F ipFj[l7$F\\qFj[l7$F_qFj[l7$FbqFj[l7$FeqFj[l7$FhqFj[l7$F[rFj[l7$F^rFj[l 7$FarFj[l7$FdrFj[l7$FgrFj[l7$FjrFj[l7$F]sFj[l7$F`sFj[l7$FcsFj[l7$FfsFj [l7$FisFj[l7$F\\tFj[l7$F_tFj[l7$FbtFj[l7$FetFj[l7$FhtFj[l-F$6#7S7$F($! &S[$F*7$F.F`_l7$F2F`_l7$F5F`_l7$F8F`_l7$F;F`_l7$F>F`_l7$FAF`_l7$FDF`_l 7$FGF`_l7$FJF`_l7$FMF`_l7$FPF`_l7$FSF`_l7$FVF`_l7$FYF`_l7$FfnF`_l7$Fin F`_l7$F\\oF`_l7$F_oF`_l7$FboF`_l7$FeoF`_l7$FhoF`_l7$F\\pF`_l7$F_pF`_l7 $FcpF`_l7$FfpF`_l7$FipF`_l7$F\\qF`_l7$F_qF`_l7$FbqF`_l7$FeqF`_l7$FhqF` _l7$F[rF`_l7$F^rF`_l7$FarF`_l7$FdrF`_l7$FgrF`_l7$FjrF`_l7$F]sF`_l7$F`s F`_l7$FcsF`_l7$FfsF`_l7$FisF`_l7$F\\tF`_l7$F_tF`_l7$FbtF`_l7$FetF`_l7$ FhtF`_l-F$6#7S7$F($\"'4IGF*7$F.Ffbl7$F2Ffbl7$F5Ffbl7$F8Ffbl7$F;Ffbl7$F >Ffbl7$FAFfbl7$FDFfbl7$FGFfbl7$FJFfbl7$FMFfbl7$FPFfbl7$FSFfbl7$FVFfbl7 $FYFfbl7$FfnFfbl7$FinFfbl7$F\\oFfbl7$F_oFfbl7$FboFfbl7$FeoFfbl7$FhoFfb l7$F\\pFfbl7$F_pFfbl7$FcpFfbl7$FfpFfbl7$FipFfbl7$F\\qFfbl7$F_qFfbl7$Fb qFfbl7$FeqFfbl7$FhqFfbl7$F[rFfbl7$F^rFfbl7$FarFfbl7$FdrFfbl7$FgrFfbl7$ FjrFfbl7$F]sFfbl7$F`sFfbl7$FcsFfbl7$FfsFfbl7$FisFfbl7$F\\tFfbl7$F_tFfb l7$FbtFfbl7$FetFfbl7$FhtFfbl-F$6#7S7$F($!(7*)H#F*7$F.F\\fl7$F2F\\fl7$F 5F\\fl7$F8F\\fl7$F;F\\fl7$F>F\\fl7$FAF\\fl7$FDF\\fl7$FGF\\fl7$FJF\\fl7 $FMF\\fl7$FPF\\fl7$FSF\\fl7$FVF\\fl7$FYF\\fl7$FfnF\\fl7$FinF\\fl7$F\\o F\\fl7$F_oF\\fl7$FboF\\fl7$FeoF\\fl7$FhoF\\fl7$F\\pF\\fl7$F_pF\\fl7$Fc pF\\fl7$FfpF\\fl7$FipF\\fl7$F\\qF\\fl7$F_qF\\fl7$FbqF\\fl7$FeqF\\fl7$F hqF\\fl7$F[rF\\fl7$F^rF\\fl7$FarF\\fl7$FdrF\\fl7$FgrF\\fl7$FjrF\\fl7$F ]sF\\fl7$F`sF\\fl7$FcsF\\fl7$FfsF\\fl7$FisF\\fl7$F\\tF\\fl7$F_tF\\fl7$ FbtF\\fl7$FetF\\fl7$FhtF\\fl-F$6#7S7$F($\"#lF*7$F.Fbil7$F2Fbil7$F5Fbil 7$F8Fbil7$F;Fbil7$F>Fbil7$FAFbil7$FDFbil7$FGFbil7$FJFbil7$FMFbil7$FPFb il7$FSFbil7$FVFbil7$FYFbil7$FfnFbil7$FinFbil7$F\\oFbil7$F_oFbil7$FboFb il7$FeoFbil7$FhoFbil7$F\\pFbil7$F_pFbil7$FcpFbil7$FfpFbil7$FipFbil7$F \\qFbil7$F_qFbil7$FbqFbil7$FeqFbil7$FhqFbil7$F[rFbil7$F^rFbil7$FarFbil 7$FdrFbil7$FgrFbil7$FjrFbil7$F]sFbil7$F`sFbil7$FcsFbil7$FfsFbil7$FisFb il7$F\\tFbil7$F_tFbil7$FbtFbil7$FetFbil7$FhtFbil-F$6#7S7$F($!$G&F*7$F. Fh\\m7$F2Fh\\m7$F5Fh\\m7$F8Fh\\m7$F;Fh\\m7$F>Fh\\m7$FAFh\\m7$FDFh\\m7$ FGFh\\m7$FJFh\\m7$FMFh\\m7$FPFh\\m7$FSFh\\m7$FVFh\\m7$FYFh\\m7$FfnFh\\ m7$FinFh\\m7$F\\oFh\\m7$F_oFh\\m7$FboFh\\m7$FeoFh\\m7$FhoFh\\m7$F\\pFh \\m7$F_pFh\\m7$FcpFh\\m7$FfpFh\\m7$FipFh\\m7$F\\qFh\\m7$F_qFh\\m7$FbqF h\\m7$FeqFh\\m7$FhqFh\\m7$F[rFh\\m7$F^rFh\\m7$FarFh\\m7$FdrFh\\m7$FgrF h\\m7$FjrFh\\m7$F]sFh\\m7$F`sFh\\m7$FcsFh\\m7$FfsFh\\m7$FisFh\\m7$F\\t Fh\\m7$F_tFh\\m7$FbtFh\\m7$FetFh\\m7$FhtFh\\m-F$6#7S7$F($\"%*G%F*7$F.F ^`m7$F2F^`m7$F5F^`m7$F8F^`m7$F;F^`m7$F>F^`m7$FAF^`m7$FDF^`m7$FGF^`m7$F JF^`m7$FMF^`m7$FPF^`m7$FSF^`m7$FVF^`m7$FYF^`m7$FfnF^`m7$FinF^`m7$F\\oF ^`m7$F_oF^`m7$FboF^`m7$FeoF^`m7$FhoF^`m7$F\\pF^`m7$F_pF^`m7$FcpF^`m7$F fpF^`m7$FipF^`m7$F\\qF^`m7$F_qF^`m7$FbqF^`m7$FeqF^`m7$FhqF^`m7$F[rF^`m 7$F^rF^`m7$FarF^`m7$FdrF^`m7$FgrF^`m7$FjrF^`m7$F]sF^`m7$F`sF^`m7$FcsF^ `m7$FfsF^`m7$FisF^`m7$F\\tF^`m7$F_tF^`m7$FbtF^`m7$FetF^`m7$FhtF^`m-%&S TYLEG6#%&POINTG-%'COLOURG6&%$RGBG$\")+++!)F[\\l$\")Vyg>F[\\lFjcm-%%VIE WG6$;F(Fht%(DEFAULTG" 2 365 365 365 5 0 1 0 2 6 0 4 2 1.000000 45.000000 45.000000 10020 10061 10056 10074 0 0 0 20030 0 12020 0 0 0 0 0 0 0 1 1 0 0 0 74 27872 0 0 0 0 0 0 }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 6 "Doch, " }{TEXT 288 13 "oszillierend " }{TEXT -1 29 "schein t wohl richtig zu sein." }{MPLTEXT 1 0 0 "" }}}}}}{MARK "0 0 1" 14 } {VIEWOPTS 1 1 0 1 1 1803 }