{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 "Output Labels" -1 29 "Times" 1 8 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" 29 256 "" 1 12 0 0 0 0 0 2 2 0 0 0 0 0 0 } {CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 1 14 0 0 0 0 1 2 2 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 0 1 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 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 0 1 0 0 0 0 0 1 0 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 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 266 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Title" -1 18 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 1 2 2 2 1 1 1 }3 1 0 0 12 12 1 0 1 0 2 2 19 1 }{PSTYLE "Title" -1 256 1 {CSTYLE "" -1 -1 "Times" 1 8 0 0 0 1 2 2 2 2 2 2 1 1 1 }3 1 0 0 12 12 1 0 1 0 2 2 19 1 }{PSTYLE "Normal" -1 257 1 {CSTYLE "" -1 -1 "Courier" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Author" -1 258 1 {CSTYLE "" -1 -1 "Helvetica" 1 12 0 0 0 1 1 1 2 2 2 2 1 1 1 }3 1 0 0 8 8 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 259 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "" 0 260 1 {CSTYLE "" -1 -1 "Courier " 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 "" 0 261 1 {CSTYLE "" -1 -1 "Courier" 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 "" 0 262 1 {CSTYLE "" -1 -1 "Courier" 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 "" 0 263 1 {CSTYLE "" -1 -1 "Courier" 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 "" 0 264 1 {CSTYLE "" -1 -1 "Courier" 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 "" 256 265 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 1 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 265 "" 0 "" {TEXT -1 0 "" }}{PARA 265 "" 0 "" {TEXT 258 1 " " }{TEXT -1 53 "Arbeitsblatt: Polynomregression 4. Grade s nach Newton" }}{PARA 18 "" 0 "" {TEXT 259 54 "Berechnung der Polynom regression 4. Grades nach Newton" }}{PARA 18 "" 0 "" {TEXT 256 98 "Dip l.- Ing. Bj\366rnstjerne Zindler, M.Sc. , Erstellt: 26. Juni 2013 - Le tzte Revision: 26. Juni 2014" }}{PARA 258 "" 0 "" {TEXT -1 76 "Dieses \+ Arbeitsblatt beinhaltet eine Polynomregression 4. Grades nach Newton " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 257 21 "Variablendeklaration:" }}}{EXCHG {PARA 260 "" 0 "" {TEXT -1 93 "--------------------------------------------------------- ------------------------------------" }}{PARA 261 "" 0 "" {TEXT -1 96 "Polynom Das ermittelte Polynom 4. Grades nach Newton \+ Maple- Output" }}{PARA 262 "" 0 "" {TEXT -1 87 "c[?] \+ Polynomkoeffizienten \+ Real" }}{PARA 263 "" 0 "" {TEXT -1 87 "a[??] Matrixk oeffizienten Real" }} {PARA 264 "" 0 "" {TEXT -1 88 "List Liste der Beispielsw erte X und Y Liste" }}{PARA 0 "" 0 "" {TEXT -1 155 "-------------------------------------------------------- ---------------------------------------------------------------------- -----------------------------" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 155 "---------------------- -------------------------------------------------- Vorbereitung ------ ---------------------------------------------------------------" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 260 45 "Definition des Newtonsch en Polynoms 4. Grades" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 124 "P olynom:=c[4]*(X-X[0])*(X-X[1])*(X-X[2])*(X-X[3])+c[3]*(X-X[0])*(X-X[1] )*(X-X[2])+c[2]*(X-X[0])*(X-X[1])+c[1]*(X-X[0])+c[0]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 261 28 "Definition der Koeffizienten" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "c[4]:=(Y[4]-c[0]-a[41]*c[1]-a[42]*c[2]-a[43]*c[3])/a[ 44]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "c[3]:=(Y[3]-c[0]-a[ 31]*c[1]-a[32]*c[2])/a[33]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "c[2]:=(Y[2]-c[0]-a[21]*c[1])/a[22]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "c[1]:=(Y[1]-c[0])/a[11]:" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 11 "c[0]:=Y[0]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 262 29 "Definition der Hilfs variablen" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "a[11]:=X[1]-X[ 0]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "a[21]:=X[2]-X[0]:" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "a[31]:=X[3]-X[0]:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "a[41]:=X[4]-X[0]:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "a[22]:=(X[2]-X[0])*(X[2]-X[1 ]):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "a[32]:=(X[3]-X[0])*( X[3]-X[1]):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "a[42]:=(X[4] -X[0])*(X[4]-X[1]):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "a[33 ]:=(X[3]-X[0])*(X[3]-X[1])*(X[3]-X[2]):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "a[43]:=(X[4]-X[0])*(X[4]-X[1])*(X[4]-X[2]):" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 55 "a[44]:=(X[4]-X[0])*(X[4]-X[1 ])*(X[4]-X[2])*(X[4]-X[3]):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 263 72 "Erstellen einer plotf \344higen Liste aus den sp\344ter einzugebenen Messwerten" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "List:=[[X[0],Y[0]],[X[1],Y[1]],[X[2 ],Y[2]],[X[3],Y[3]],[X[4],Y[4]]]:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 264 27 "\334bernahm e der Teilmesswerte" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "X[0] :=100:Y[0]:=10:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "X[1]:=11 0:Y[1]:=20:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "X[2]:=125:Y[ 2]:=28:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "X[3]:=132:Y[3]:= 41:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "X[4]:=139:Y[4]:=50: " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 265 59 "Ausgabe des regressierten Polynoms als numerischer \+ Ausdruck" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "simplify(evalf( Polynom));" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 266 127 "Ausgabe des regressierten Polynoms als \+ grafischer Ausdruck und die dazugeh\366rige Messwertliste (als st\374c kweise lineare Funktion)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 107 "plot([List,Polynom],X=95..145,0..55,axes=boxed,thickness=2,color= [blue,red],style=[point,line],symbol=box);" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 1 "#" }}}}{MARK "0 3 0" 87 }{VIEWOPTS 1 1 0 1 1 1803 }