Automata, Languages and Programming: 12th Colloquium by L. Lovász (auth.), Wilfried Brauer (eds.)

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By L. Lovász (auth.), Wilfried Brauer (eds.)

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Additional info for Automata, Languages and Programming: 12th Colloquium Nafplion, Greece, July 15–19, 1985

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26 230 Craps Würfelspiel Die folgende Spiel-Nachbildung entspricht der eines Würfelspiels. Das Würfelspiel wird mit zwei Würfeln gespielt. Der Sinn des Spieles besteht darin, beim ersten Wurf eine 7 oder eine 11 zu würfeln, oder die folgenden Würfe dementsprechend anzugleichen. Wenn Sie beim ersten Wurf eine 2, 3, oder 12 würfeln, verlieren Sie automatisch. Sie verlieren ebenfalls, wenn Sie zum Ausgleich eine 7 würfeln. Listing: 10 REM CRAPS 11 REM FOLGENDES PROGRAMM BILDET DAS SPIEL 12 REM VON CRAPS NACH.

Erste Ableitung Erste Ableitung Der Anwender muß in Zeile 280 die zur Ableitung bekannte Gleichung einsetzen. Der Computer wird dann die erste Ableitung der eingegebenen Gleichung herleiten. Formel: x >0 f 1 (x) = f~ + ßx/2) - f(x AX ßx/2) Listing: READY. /ENN X=";Y;"DANN IST F(X)=";C 200 PRINT"UND F'(X)=";F 210 PRINT 220 PRINT"GEBE 1 FUER EINE NEUE BERECHNUNG EIN" 225 PRINT"GEBE 0 FUER DAS PROGRAHHENDE EIN" 230 INPUT L 240 IF L=l THEN 260 250 STOP 260 PRIMT 270 GOTO 30 280 LET P=X"2 290 RETURN 300 END PfADY.

Listing: READY. " 230 INPUT l 240 IF l=1 THEN 30 250 STOP 260 PRINT 270 GOTO 30 280 END READY. Probelauf: DRGINAl-HATRIX 5 3 2 1 REZIPROKUERT DER MATRIX -1 3 2-5 DIE DETERMINANTE =-1 34 DeteI'lninalite und Reziprok- wert einer 3x3Matl'ix Determinante und Reziprokwert einer 3 x 3 Matrix Der Anwender gibt seine Originalmatrix ein und der Computer antwortet mit der Determinante und dem Reziprokwert. 2B3 - A3B2)IDET A ßI = (B3Cl - BlC3)IDET A ß2 = (AlC3 - A3Cl)IDET A {33 = (fußl - Aill3)IDET A ')'l = (BlC2 - B2Cl)/DET A 12 = (A2Cl - AlC2)/DET A YJ = (Aill2 - A2Bl)/DET A al a2 35 Listing: I~EADY • 10 REM DETERMINANTE UND REZIPROKWERT VON EINER 3X3 MATRIX 15 REH DIESES PROGRAMM ERZEUGT DIE DETERMINANTE 20 REM UND DEN KEHRYERT VON EINER 3X3 MATRIX 25 PRINT"EINGABE DER 3X3 MATRIX" 30 INPUT A,B,C,D,E,F,G,H,I 40 REM ERRECHNETE DETERMINANTE VON 3X3 MATRIX 50 LET M=(A*E*I)+(B*F*G)+(C*H*D) 60 LET N=H-(C*E*G)-(F*H*A)-(I*D*B) 70 REM ERRECHNETER REZIPROKYERT 80 LET O=«E*I)-(H*F»/N 90 LET P=«G*F)-(D*I»/N 100 LET Q=«D*H)-(G*E»/N 110 LET R=«H*C)-(B*I»/N 120 LET S=«A*I)-(G*C»/N 130 LET T=«G*B)-(A*H»/N 140 LET U=«B*F)-(E*C»/N 150 LET V=«D*C)-(A*F»/N 160 LET U=«A*E)-(D*B»/N 170 f'RINT"ORGINALMATRIX" 180 PRINT A,B,C 190 PRINT D,E,F 200 PRINT G,H,I 210 PRINT 220 PRINT"DIE DETERMINANTE=";N 230 PRINT 240 PRINT"DER REZIPROKUERT DEI~ MATRIX" 250 PRINT O,R,U 260 PRINT P,S,V 270 PRINT Q,T,Y 280 PRINT 290 PRINT"TIPPE 1 FUER ERNEUTE BERECHNUNG EIN" 295 PRINT"TIPPE 0 FUER PROGRAMMENDE EIN" 300 INPUT L 310 IF L=l THEN 20 320 STOP 330 END READY.

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