{VERSION 3 0 "IBM INTEL NT" "3.0" } {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 "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 } {CSTYLE "" -1 256 "" 0 1 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 255 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 }{PSTYLE "No rmal" -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 8 4 0 0 0 0 0 0 -1 0 } {PSTYLE "Heading 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 8 2 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 "Title" 0 18 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 1 0 0 0 0 0 0 }3 0 0 -1 12 12 0 0 0 0 0 0 19 0 }{PSTYLE "Author" 0 19 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 8 8 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 17 "Variablenbelegung" }} {PARA 19 "" 0 "" {TEXT -1 46 "HGB 28.8.99 Datei: ML-06 Variablenbelegu ng.mws" }}{PARA 0 "" 0 "" {TEXT -1 181 "Das Thema ist uns bereits vert raut. Es ging um die M\366glichkeit, Zwischenergebnisse zu speichern u nd wieder abzurufen. Wir m\374ssen nun ein bisschen tiefer in diese Ma terie einsteigen." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "restart ; " }{TEXT -1 25 "Passt gut ins Thema. Mit " }{TEXT 256 7 "restart" } {TEXT -1 34 " sind nun alle Variablen gel\366scht." }}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 12 "Wiederholung" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "a:=12;b:=8;c:=5;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#> %\"aG\"#7" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"bG\"\")" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%\"cG\"\"&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 176 "Aufgepasst: Wenn wir im folgenden diese Variablen z. Bsp. in Term en benutzen, werden sie sofort von Maple ausgewertet: Das hei\337t, da ss Maple statt a 12 einsetzt usw. Mal sehen:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "a+b-c;(a*c-a)/(a^2-c^3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#:" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##\"#[\"#>" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "a:=100;a+b-c;" }{TEXT -1 52 " wir haben a \374berschrieben (mit neuem Inhalt belegt)" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%\"aG\"$+\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6# \"$.\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "a:='a';a+b-c;" } {TEXT -1 56 " wir haben a gel\366scht. (' steht auf der Tastatur \374b er #)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aGF$" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&%\"aG\"\"\"\"\"$F%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "'b'-c;b; " }{TEXT -1 119 "wir haben die Auswertung von b unterdr\374ckt; b hat aber immer noch die 8 zugewiesen. (' ist dass elbe Zeichen wie vorher)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&%\"bG\" \"\"!\"&F%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\")" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 106 "Nun l\366schen wir alle Variablen, zeigen sie \+ uns zur Kontrolle an (Beachte neue Anzeigem\366glichkeit: Kommata)" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "restart;a,b,c;a+b-c;" }}{PARA 11 " " 1 "" {XPPMATH 20 "6%%\"aG%\"bG%\"cG" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(%\"aG\"\"\"%\"bGF%%\"cG!\"\"" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 30 "Neues Problem: Terme auswerten" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 318 "Betrachten wir ein (vereinfachtes) Alltagsproblem. Monatliche \+ Telefonkosten setzen sich zusammen aus einer monatlich festen Grundgeb \374hr (Annahme 19,95 DM) und Anzahl der Einheiten mal Einheitengeb \374hr (Annahme: 12 Pfennig pro 1 Einheit). Wir basteln daraus den Kos tenterm; x sei die Variable f\374r die Zahl der Einheiten." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "Kosten:=0.12*x+29.95;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'KostenG,&%\"xG$\"#7!\"#$\"%&*HF)\"\"\"" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 18 "Kostenberechnung 1" }}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 14 "x:=187;Kosten;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xG\"$(=" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"%R_!\"#" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 61 "Wie kann man neue Kosten berechen, z. Bsp f\374r 497 Einheiten ?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "x:=497;Kosten;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"xG\"$(\\ " }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"%f*)!\"#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 57 "Schreibarbeit sparen: 187 l\366schen und durch 497 e rsetzen." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 66 "Kleiner Nachteil: Wir m\366chten uns den Term f\374r die Kosten ansehen:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "Kosten;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"%f*)! \"#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 91 "Das geht nun nicht, da Map le die im Term vorkommende Variable x sofort auswertet. Abhilfe ?" }}} }{SECT 1 {PARA 4 "" 0 "" {TEXT -1 18 "Kostenberechnung 2" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 38 "Erst brauchen wir unseren Term wieder:" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "restart;Kosten;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%'KostenG" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 210 "Was ist jetzt los ?? Wo ist unser Term ??? (Nach der Theorie d er Variablenbelegung d\374rfte die Ursache des Verlustes klar sein, od er nicht ?). Im Augenblick m\374ssen wir ihn neu eintippen (Nat\374rli ch Drag and drop)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "Kosten :=0.12*x+29.95;x;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'KostenG,&%\"xG $\"#7!\"#$\"%&*HF)\"\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%\"xG" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 16 "N\366tig w\344re eine " }{TEXT 257 14 "vor\374bergehende" }{TEXT -1 45 " Variablenzuweisung. Dazu gib t es den Befehl " }{TEXT 258 4 "subs" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "subs(x=187,Kosten);Kosten;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$ \"%R_!\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&%\"xG$\"#7!\"#$\"%&*HF' \"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "subs(x=497, Koste n);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"%f*)!\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "Kosten;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#, &%\"xG$\"#7!\"#$\"%&*HF'\"\"\"" }}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 15 "Anwendung von " }{TEXT 259 4 "subs" }}{PARA 0 "" 0 "" {TEXT -1 51 "Beachte, dass beim Befehl subs die Zuweisung f\374r x " }{TEXT 260 4 "ohne" }{TEXT -1 24 " den Doppelpunkt erfolgt" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "t1:=x^2-5*x+2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#t1G,(*$)%\"xG\"\"#\"\"\"\"\"\"F(!\"&F)F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "subs(x=4,t1);subs(x=-34,t1);subs(x= sqrt(5),t1);subs(x=3/4,t1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#!\"#" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#\"%G8" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&\"\"(\"\"\"*$-%%sqrtG6#\"\"&\"\"\"!\"&" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##!#>\"#;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 " subs(x=a,t1);subs(x=y^2,t1);subs(x=x-1,t1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*$)%\"aG\"\"#\"\"\"\"\"\"F&!\"&F'F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*$)%\"yG\"\"%\"\"\"\"\"\"*$)F&\"\"#F(!\"&F,F)" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#,(*$),&%\"xG\"\"\"!\"\"F(\"\"#\"\"\"F( F'!\"&\"\"(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "t1;" } {TEXT -1 10 " Kontrolle" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*$)%\"xG \"\"#\"\"\"\"\"\"F&!\"&F'F)" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 48 "Wi r definieren einen Term mit mehreren Variablen" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "t2:=(3*x-6*y^2)/(5*y-x^2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#t2G*&,&%\"xG\"\"$*$)%\"yG\"\"#\"\"\"!\"'F-,&F+\"\"&* $)F'F,F-!\"\"!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "subs( x=1,t2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&,&\"\"$\"\"\"*$)%\"yG\" \"#\"\"\"!\"'F+,&F)\"\"&!\"\"F&!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "subs(y=1,t2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&,& %\"xG\"\"$!\"'\"\"\"\"\"\",&\"\"&F(*$)F%\"\"#F)!\"\"!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "subs(x=y,t2);subs(x=a,t2);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#*&,&%\"yG\"\"$*$)F%\"\"#\"\"\"!\"'F*,& F%\"\"&F'!\"\"!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&,&%\"aG\"\"$* $)%\"yG\"\"#\"\"\"!\"'F+,&F)\"\"&*$)F%F*F+!\"\"!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "subs(x=1,y=2,t2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##!\"(\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "subs(x=-5,y=sqrt(2),t2);subs(x=r,y=z,t2);subs(x=x+4,y=y-3,t2);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&\"\"\"F%,&*$-%%sqrtG6#\"\"#F%\"\"& !#D\"\"\"!\"\"!#F" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&,&%\"rG\"\"$*$) %\"zG\"\"#\"\"\"!\"'F+,&F)\"\"&*$)F%F*F+!\"\"!\"\"" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#*&,(%\"xG\"\"$\"#7\"\"\"*$),&%\"yGF(!\"$F(\"\"#\"\"\" !\"'F/,(F,\"\"&!#:F(*$),&F%F(\"\"%F(F.F/!\"\"!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "simplify(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&,*%\"xG\"\"\"!#9F'*$)%\"yG\"\"#\"\"\"!\"#F+\"#7F-,*F+!\"&\"# JF'*$)F&F,F-F'F&\"\")!\"\"!\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}}{MARK "0 0 0" 0 }{VIEWOPTS 1 1 0 1 1 1803 }