{VERSION 5 0 "IBM INTEL NT" "5.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" -1 256 "Times" 1 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 }{PSTYLE "N ormal" -1 0 1 {CSTYLE "" -1 -1 "Geneva" 1 10 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Warning" -1 7 1 {CSTYLE "" -1 -1 "Courier" 1 10 0 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Geneva" 1 10 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE " Maple Output" -1 12 1 {CSTYLE "" -1 -1 "Geneva" 1 10 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "R3 Font 0" -1 256 1 {CSTYLE "" -1 -1 "Monaco" 1 9 0 0 255 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "R3 Font 2" -1 257 1 {CSTYLE "" -1 -1 " Geneva" 1 14 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 258 1 {CSTYLE "" -1 -1 "Geneva" 1 10 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {EXCHG {PARA 258 "" 0 "" {TEXT 256 41 "TP MAPLE 1 - CALCULS NU M\311RIQUES - CORRIG\311" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 1 "1" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "sqrt(12345678987654321);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#\"*6666\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 1 "2" }{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "floor(2^1000/10^99) mod 10 ;" }{TEXT -1 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 1 "3" }}}{PARA 12 "" 1 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "evalf(Pi,100);evalf(exp(1),100);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"_qoq6U`#[.G')**3iG1k\"yI#fW\\(4#e5v$*Rpr>%)G]zKQVEYQ Kz*e`EfTJ!#**" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"_qFk;D&y@QrXfZNNIm 2Cxinp'\\df**p$4Zsv(\\iENruGg`BX!f%G=G=F!#**" }}}{EXCHG {PARA 0 "" 0 " " {TEXT -1 1 "4" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "Digits:= 105:floor(evalf(10^100*Pi)) mod 10;\n\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 1 "5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 43 "Digits:=20:b:=(2143/22)^(1/4):evalf(b-Pi) ;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$!,K6Zr+\"!#>" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 20 "Donc b ~ pi - 10^-9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 38 "c:=2*sqrt(10)-9.548888/3:evalf(c-Pi);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"*)e()H!)!#>" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 23 "Donc c ~ pi + 8 10^-11" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "d:=355/113*(1-3/3533/10000):evalf(d-Pi);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"&,4\"!#>" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 22 "Donc d ~ pi + 10^-15" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 10 "b < pi=a <" }{TEXT -1 5 " d " 0 "" {MPLTEXT 1 0 45 "2^257-1;evalf(%,1);isprime(%%);ifactor(%%%); \n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"ior)z#fi#e,o^\"*y!G6GJ$p*Rlq:e P<+(>9Z3RKYZyTeJ#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"\"#\"#x" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#%&falseG" }}{PARA 7 "" 1 "" {TEXT -1 33 "Warning, computation interrupted\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 1 "7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "a:=sqrt(3+ 2*sqrt(2));b:=sqrt(3-2*sqrt(2));a-b;" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#>%\"aG,&*$\"\"##\"\"\"F'F)F)F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>% \"bG,&*$\"\"##\"\"\"F'F)F)!\"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\" \"#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 1 "8" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 84 "a:=(7+5*sqrt(2))^(1/3);a:=radnormal(a);\nb:=(-7+ 5*sqrt(2))^(1/3);b:=radnormal(b);a-b;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG*$),&\"\"(\"\"\"*&\"\"&F)\"\"##F)F,F)#F)\"\"$F)" }}{PARA 11 " " 1 "" {XPPMATH 20 "6#>%\"aG,&*$\"\"##\"\"\"F'F)F)F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"bG*$),&\"\"(!\"\"*&\"\"&\"\"\"\"\"##F,F-F,#F,\" \"$F," }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"bG,&*$\"\"##\"\"\"F'F)F)! \"\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 1 "9" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 68 "a:=2^50 +2^10;b:=2^50;Digits:=12:evalf(a),evalf(b);evalf(a)-evalf(b);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG\"1[O%o!***e7\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"bG\"1CE%o!***e7\"" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$$\"-%o!***e7\"\"\"%F#" }}{PARA 11 "" 1 "" {XPPMATH 20 " 6#$\"\"!F$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "Digits:=13:ev alf(a),evalf(b);evalf(a)-evalf(b);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$ $\".Wo!***e7\"\"\"$$\".Vo!***e7\"F%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #$\"\"\"\"\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "Digits:=14 :evalf(a),evalf(b);evalf(a)-evalf(b);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$$\"/O%o!***e7\"\"\"#$\"/E%o!***e7\"F%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"#5\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "Digits: =15:evalf(a),evalf(b);evalf(a)-evalf(b);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$$\"0lVo!***e7\"\"\"\"$\"0iUo!***e7\"F%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"$.\"\"\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 47 "Digits:=16:evalf(a),evalf(b);evalf(a)-evalf(b);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$$\"1[O%o!***e7\"\"\"!$\"1CE%o!***e7\"F%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"%C5\"\"!" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 2 "10" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 61 "a:=exp(Pi *sqrt(163));Digits:=50:b:=evalf(a);c:=round(a);b-c;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG-%$expG6#*&%#PiG\"\"\"\"$j\"#F*\"\"#" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"bG$\"Sl)o&=)>(fs+D***********Ruo2k 7u`i#!#K" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"cG\"3W(o2k7u`i#" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#$!5N6V\"=!GSF*\\(!#K" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 23 "donc a est un entier \340 " }{XPPEDIT 18 0 "8.1 0^(-13);" "6#)-%&FloatG6$\"$5)!\"#,$\"#8!\"\"" }{TEXT -1 6 " pr\350s. " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 2 "11" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 128 "a:=sqrt(3)+sqrt(14+2*sqrt(3));\nb:=sqrt(7+sqrt(46) )+sqrt(10-sqrt(46)+\n2*sqrt(21-3*sqrt(46)));\nt:=time():radnormal(a-b) ;time()-t;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG,&*$\"\"$#\"\"\" \"\"#F)*$,&\"#9F)*&F*F)F'F(F)F(F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#> %\"bG,&*$,&\"\"(\"\"\"*$\"#Y#F)\"\"#F)F,F)*$,(\"#5F)F*!\"\"*&F-F),&\"# @F)*&\"\"$F)F+F,F1F,F)F,F)" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"!" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"%\"y#!\"$" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{MARK "0 0 0" 34 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }