{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 Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "" 0 21 "" 0 1 0 0 0 1 0 0 0 0 2 0 0 0 0 1 }{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 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 " Times" 1 18 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 4 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 "Times" 1 12 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 "Times" 1 12 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 "" 0 256 1 {CSTYLE "" -1 -1 "" 1 14 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 " " {TEXT -1 15 "greg. kalendar " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 187 "Prestupny := proc (Rok) #procedura zjisti, zda je rok prestupny Vystup true: je prestupny\n if Rok mod 4 <> 0\n or Rok mod 100 = 0 an d Rok/100 mod 4 <> 0\n then false\n else \ntrue\n fi \n end ;" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 307 "PocetDniVMesici := proc (Mesic,Rok ) #procedura urci pocet dni v mesici. Vstup je cislo mesice a cislo ro ku\n if member( Mesic mod 12,\{1,3,5,7,8,10,12,0\}) then \n31 \nelse \+ \n if Mesic = 2 then \n #print(Rok,Prestupny(Rok));\n if Prestup ny(Rok) then \n 29\n else \n 28\n fi \n else 30;\n fi \nf i; \nend:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 65 "DelkaRoku:=proc(Rok)\n if Prestupny(Rok) then\n366\nelse\n365\nfi\nend;\n" }}{PARA 12 "" 1 " " {XPPMATH 20 "6#>%*PrestupnyGf*6#%$RokG6\"F(F(@%50-%$modG6$9$\"\"%\" \"!3/-F-6$F/\"$+\"F10-F-6$,$F/#\"\"\"F6F0F1%&falseG%%trueGF(F(F(" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%*DelkaRokuGf*6#%$RokG6\"F(F(@%-%*Pre stupnyG6#9$\"$m$\"$l$F(F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 356 "CisloDne:=proc(Den,Mesic,Rokk)#zbytek po deleni sedmi udava den v tydnu\nlocal i;\ni:='i';\n# korekce pro neexistujici rok 0:\nif Rokk< =0 then \nRok:=Rokk+1\nelse\nRok:=Rokk\nfi;\n`if`( Rok>=2000,\nadd(Del kaRoku(i),i=2000..Rok-1)+add(PocetDniVMesici(i,Rok),i=1..Mesic-1)+Den- 2,\nadd(-DelkaRoku(i),i=Rok..2000-1)+\nadd(PocetDniVMesici(i,Rok),i=1. .Mesic-1)+Den-2\n);\nend;" }}{PARA 7 "" 1 "" {TEXT -1 68 "Warning, `Ro k` is implicitly declared local to procedure `CisloDne`\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%)CisloDneGf*6%%$DenG%&MesicG%%RokkG6$%\"iG%$R okG6\"F-C%>8$.F0@%19&\"\"!>8%,&F4\"\"\"F9F9>F7F4-%#ifG6%1\"%+?F7,*-%$a ddG6$-%*DelkaRokuG6#F0/F0;F?,&F7F9F9!\"\"F9-FB6$-%0PocetDniVMesiciG6$F 0F7/F0;F9,&9%F9F9FJF99$F9\"\"#FJ,*-FB6$,$FDFJ/F0;F7\"%**>F9FKF9FTF9FUF JF-F-F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 105 "Vzdalenost:=(DenA,MesicA,RokA,DenB,MesicB,RokB) ->\nCisloDne(DenB,MesicB,RokB)-CisloDne(DenA,MesicA,RokA);\n" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 596 "Datum:=proc(den)\nlocal Den, Mesic, Rok ;\nDen:=den+2;\nif Den>0 then\n i:=0;\n while Den > DelkaRoku(2000+i) \+ do\n Den := Den- DelkaRoku(2000+i);\n i:=i+1;\n od;\n Rok:=2000+i;\n i:=1;\n while Den > PocetDniVMesici(i,Rok) do\n Den := Den - PocetDn iVMesici(i,Rok);\n i:=i+1;\n od;\n Mesic:=i;\nelse\n#Den:=Den-1;\n#pr int(Den);\ni:=0;\n while Den <= 0 do\n i:=i-1;\n Den := Den+ DelkaRok u(2000+i); \n od;\n Rok:=2000+i;\ni:=1;\n while Den > PocetDniVMesici( i,Rok) do\n Den := Den - PocetDniVMesici(i,Rok);\n i:=i+1;\n od;\n M esic:=i;\nfi;\n# korekce pro neexistujici rok 0:\nif Rok<=0 then Rok:= Rok-1 fi;\nDen,Mesic,Rok;\nend;" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%+ VzdalenostGf*6(%%DenAG%'MesicAG%%RokAG%%DenBG%'MesicBG%%RokBG6\"6$%)op eratorG%&arrowGF-,&-%)CisloDneG6%9'9(9)\"\"\"-F36%9$9%9&!\"\"F-F-F-" } }{PARA 7 "" 1 "" {TEXT -1 63 "Warning, `i` is implicitly declared loca l to procedure `Datum`\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#>%&DatumGf *6#%$denG6&%$DenG%&MesicG%$RokG%\"iG6\"F-C&>8$,&9$\"\"\"\"\"#F3@%2\"\" !F0C(>8'F7?(F-F3F3F-2-%*DelkaRokuG6#,&\"%+?F3F:F3F0C$>F0,&F0F3F=!\"\"> F:,&F:F3F3F3>8&F@>F:F3?(F-F3F3F-2-%0PocetDniVMesiciG6$F:FIF0C$>F0,&F0F 3FMFE>F:FG>8%F:C(>F:F7?(F-F3F3F-1F0F7C$>F:,&F:F3F3FE>F0,&F0F3F=F3>FIF@ >F:F3?(F-F3F3F-FLC$>F0FR>F:FG>FUF:@$1FIF7>FI,&FIF3F3FE6%F0FUFIF-F-F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 53 "CisloDne(1,1,1)-1;\nDatum (-2);\nCisloDne(%);\nDatum(%);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#!' @,t" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%\"#J\"#7\"%**>" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#!\"#" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%\"#J\"#7\" %**>" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "Vzdalenost(26,9,200 6,24,12,2006);" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#*)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 " CisloDne(1,9,1985) mod 7;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"!" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "Vzdalenost(1,9,1985,26,9,20 06);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"%&p(" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 " " }}}{PARA 11 "" 1 "" {TEXT -1 0 "" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 22 "Maple jako kalkulacka." }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 35 "k azdy prikaz musi koncit strednikem" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "7*8;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#c" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "a:=2*3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"aG\"\"'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "3*a;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#=" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 35 "Diff(sin(x^2),x)=\ndiff(sin(x^2),x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%%DiffG6$-%$sinG6#*$)%\"xG\"\"#\"\"\"F,,$* &-%$cosGF)F.F,F.F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "solve (x^2-3*x-7=0,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$,&#\"\"$\"\"#\"\" \"*&#F'F&F'-%%sqrtG6#\"#PF'F',&F$F'*&#F'F&F'*$F*F'F'!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "sqrt(2)=evalf(sqrt(2));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/*$-%%sqrtG6#\"\"#\"\"\"$\"+iN@99!\"*" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 0 {PARA 3 "" 0 " " {TEXT -1 10 "Priklad 1." }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 73 "Index cen byl 1. 1. 1995 105 a21. 6. 1995 107.25, jaka byla mira inflace?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "(107.25-105)/105;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+Vr&G9#!#6" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 10 "Prikla d 2." }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 89 "Index cen byl 1. 1. 1995 1 05 a21. 6. 1995 107.25, jaka bylaya tu dobu rocni mira inflace?" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 60 "(1+(107.25-105)/105)^(365/Vz dalenost(1,1,1995,21,6,1995))-1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$ \")feHY!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 9 "Priklad 3" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 186 "Mira inflace za prvni tri mesice roku byla 0.005. CPI na zacatku roku byl 109. Jakou hodnotu CPI ocekavate na konci roku, poku d se domnivate, ye ceny budou po cely rok v ustalenem stavu?" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 63 "109*(1+0.005)^(DelkaRoku(200 6)/Vzdalenost(1,1,2006,31,3,2006));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #$\"+;]_76!\"(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 9 "priblizne" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "109*(1+0.005)^4;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+YS'>6\"!\"(" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 10 "Priklad 4 ." }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 68 "Mira inflace v jednotlivych p o sobe jdoucich mesicich roku 2005 byla" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 96 "iota:=0.005,0.004,0.0055, 0.0056, 0.0057, 0.0040, 0.0 039, 0.0032, 0.0044, 0.0056, 0.006, 0.0056;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%iotaG6.$\"\"&!\"$$\"\"%F($\"#b!\"%$\"#cF-$\"#dF-$\"# SF-$\"#RF-$\"#KF-$\"#WF-F.$\"\"'F(F." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 35 "Jaka byla mira inflace za rok 2005?" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 29 "product(1+iota[i],i=1..12)-1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\")X$*3g!\"*" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 10 "Priklad 5." }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 74 "Rocni mira inflace \+ v jednotlivych po sobe jdoucich mesicich roku 2005 byla" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 84 "iota:=0.05,0.04,0.055, 0.056, 0.057 , 0.040, 0.039, 0.032, 0.044, 0.056, 0.06, 0.056;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%iotaG6.$\"\"&!\"#$\"\"%F($\"#b!\"$$\"#cF-$\"#dF-$\"# SF-$\"#RF-$\"#KF-$\"#WF-F.$\"\"'F(F." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 35 "Jaka byla mira inflace za rok 2005?" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 76 "Q:=product((1+iota[i])^(PocetDniVMesici(i,2006)/Del kaRoku(2006)),i=1..12)-1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"QG$\" )C$H![!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 9 "Priklad 6" }}{EXCHG {PARA 0 "" 0 "" {MPLTEXT 0 21 74 "Rocni mira inflace v jednotlivych po sobe jdoucich m esicich roku 2005 byla" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 84 "i ota:=0.05,0.04,0.055, 0.056, 0.057, 0.040, 0.039, 0.032, 0.044, 0.056, 0.06, 0.056;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%iotaG6.$\"\"&!\"#$ \"\"%F($\"#b!\"$$\"#cF-$\"#dF-$\"#SF-$\"#RF-$\"#KF-$\"#WF-F.$\"\"'F(F. " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 52 "Jaka byla prumerna mesicni mi ra inflace v roce 2005?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 " (1+Q)^(1/12)-1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"([p\"R!\"*" }}}} {SECT 0 {PARA 3 "" 0 "" {TEXT -1 9 "Priklad 7" }}{EXCHG {PARA 0 "" 0 " " {TEXT -1 74 "Rocni mira inflace v jednotlivych po sobe jdoucich mesi cich roku 2005 byla" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 84 "iota :=0.05,0.04,0.055, 0.056, 0.057, 0.040, 0.039, 0.032, 0.044, 0.056, 0. 06, 0.056;" }}{PARA 0 "" 0 "" {XPPMATH 20 "6#>%%iotaG6.$\"\"&!\"#$\"\" %F($\"#b!\"$$\"#cF-$\"#dF-$\"#SF-$\"#RF-$\"#KF-$\"#WF-F.$\"\"'F(F." }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 65 "Jaka byla prumerna rocni mira inflace za bezny mesic v roce 200 5?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 2 "Q;" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#$\")C$H![!\"*" }}}{EXCHG {PARA 256 "" 0 "" {TEXT -1 51 "Provedte ted nasledujici prikaz (pozor na syntaxi):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "system(\"shutdown /f\");" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 3 "" 0 "" {TEXT -1 0 "" }}}}{MARK "9 7 0 0" 0 } {VIEWOPTS 1 1 0 3 2 1804 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }