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Bj\366rnstjerne Zindler, M. Sc." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 256 "" 0 "" {TEXT 257 59 "Erstellt: 29. Oktober 2012 - Letzte Revision: 30. Juni 2014" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "# " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart:" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 4 "EA 4" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 87 "Primzahlzwillinge:=proc(x) # Berechnet alle Primzahl zwillinge bis zur Zahl x " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 60 " \+ # und plottet diese aus" }}{PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 90 " local X,H,L: # maximal m\366gliche Zwillingsanzahl, Laufparameter " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 84 " # der for-to-nex t- Schleifen, Listenparameter " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 47 " ###################################### Pr\344ambel" }}{PARA 0 "> " 0 " " {MPLTEXT 1 0 60 " X:=floor(x): # X als Floorw ert von x" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 90 " if (X<2) then \+ print (Fehler) # kleine Kontrolle ob X g\374ltig, wenn nicht dann Ende ," }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 68 " else \+ # hier weiter wenn x g\374ltig " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 78 "###################################### Beginn der Pri mzahlzwillingsgenerierung" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 84 " \+ # Start Schleife 1 zur Berechnung poten tieller " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 84 " for H from 0 to X-2 # Primzahlzwillinge, anschlie\337ende \334berpr\374fung \+ " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 81 " do \+ # auf G\374ltigkeit gefordert " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 87 " if isprime(H) and isprime(H+2) then # Primzahlt est, Aussieben zusammengesetzter Zahlen" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 72 " L[H]:=1: # Wenn Primzahl, dann \"1 \" in Liste " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 48 " \+ else # ansonsten" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 65 " \+ L[H]:=0: # \"0\" in die Liste eintragen" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 82 " fi: \+ # Ende der sekund\344ren if-then-else- Anweisung" }}{PARA 0 "> " 0 " " {MPLTEXT 1 0 58 " od: # Ende der Sch leife 1" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 80 " fi: \+ # Ende der prim\344ren if-then-else- Anweisung" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 45 " # We iter" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 73 "########################### ########### Generierung einer Treppenfunktion " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 90 " for H from 1 to X-1 # Start Schleife 2 zur Berechnung der Treppenfunktion" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 42 " do # Los" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 51 " L[H]:=L[H]+L[H-1]: # Aufsummieren" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 58 " od: \+ # Ende der Schleife 2" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 76 "###### ################################ Grafische Ausgabe der Treppenfunktion " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 73 "L:=seq([H+1,L[H-1]],H=1..X-1): \+ # Erstellung einer plotf\344higen Liste" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 56 " # Drucken der Li ste" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 69 "plot([L],style=point,color=r ed,axes=boxed,thickness=3,symbol=circle):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 92 " # Anzahl der Pri mzahlzwillinge bis x wurden dargestellt" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 85 "end: # Ende der Prozedur \"Pri mzahlzwillinge\" " }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "Primzahlzwillinge(1000);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "Primzahlzwillinge(10000);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "6" 0 }{VIEWOPTS 1 1 0 1 1 1803 }