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cvi\350en\355 s Maple" }}{PARA 256 "" 0 "" {TEXT 295 10 "1. semin\341\370" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 26 " Ovl\341 d\341n\355 pracovn\355ho listu" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 59 "# Za aktiv n\355 oblast se ozna\350uje m\355sto kde je um\355st\354n kurzor" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 1 " " }{MPLTEXT 1 0 0 "" }{TEXT -1 9 " Pomoc\355 " }{TEXT 257 15 "Insert -> Text " }{MPLTEXT 1 0 0 "" } {TEXT -1 91 "(kl\341vesov\341 zkratka Ctrl+T nebo Toolbar tla\350\355t ko T) lze oblast p\370em\354nit do textov\351ho re\236imu " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 1 " " }{MPLTEXT 1 0 0 "" }{TEXT -1 9 "Pomoc \355 " }{TEXT 258 22 "Insert -> Maple Input " }{MPLTEXT 1 0 0 "" } {TEXT -1 107 "(kl\341vesov\341 zkratka Ctrl+M nebo Toolbar tla\350\355 tko [>) lze oblast p\370em\354nit zp\354tn\354 do \"Maple\" v\375po \350etn\355 oblasti" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 8 " Pomoc\355 " }{TEXT 260 9 " Ctrl+K " }{TEXT -1 37 " vytvo\370\355m novou oblast P\330ED kurozorem" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 8 " Pomoc\355 " }{TEXT 259 8 " Ctrl+J " }{TEXT -1 37 " vytvo\370\355m novou oblast ZA kurozorem" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 10 " Pomoc\355 " }{TEXT 261 12 "Shift+Crtl+K" }{TEXT -1 61 " vyt vo\370\355m nov\375 textov\375 \370adek ve stejn\351 oblasti P\330ED k urzorem" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "# vypocetni oblast" }} {PARA 0 "" 0 "" {TEXT -1 10 " Pomoc\355 " }{TEXT 262 12 "Shift+Crtl+ J" }{TEXT -1 59 " vytvo\370\355m nov\375 textov\375 \370adek ve stejn \351 oblasti ZA kurzorem" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 27 " Pomoc\355 kombinace kl\341ves \+ " }{TEXT 272 12 "Shift+Enter " }{TEXT -1 45 " proveddu od\370\341dkov \341n\355 uvnit\370 aktu\341ln\355 oblasti" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{MPLTEXT 1 0 108 "# viceradkova oblast, novy radek ve stavaji ci oblasti vytvorime\n# kombinaci klaves Shift+Enter\n# dalsi radek" } }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 16 " Pomoc\355 kl\341vesy " }{TEXT 273 2 "F4" }{TEXT -1 58 " \+ slou\350\355m ozna\350en\351 oblasti do jedn\351. Opa\350n\354 pomoc \355 kl\341vesy " }{TEXT 274 2 "F4" }{TEXT -1 43 " provedu rozd\354len \355 oblasti na m\355st\354 kurzoru" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "# prvni prikaz" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "# druhy prika z" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 9 " Pomoc\355 " }{TEXT 263 32 "Insert -> Expande All Section s " }{TEXT -1 50 "rozbal\355m v\232echny sekce v aktu\341ln\355m prac ovn\355m listu" }}{PARA 0 "" 0 "" {TEXT -1 9 " Pomoc\355 " }{TEXT 264 33 "Insert -> Collapse All Sections " }{TEXT -1 48 "sbal\355m v \232echny sekce v aktu\341ln\355m pracovn\355m listu" }{TEXT 265 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 8 "Pomoc\355 " }{TEXT 266 17 "Edit -> Execute " }{TEXT -1 44 "provedu v\232echny p\370\355kazy v dokumentu (v\375b\354ru)" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 8 "Pomoc\355 " }{TEXT 267 23 "Edit -> Remove output " }{TEXT -1 43 "odeberu v\232echen v\375stup z dokumen tu (v\375b\354ru)" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 27 " M\355sto p ro Va\232e experimenty" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" } }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 49 " Z\341klady datov\375ch struktu ry a manipulace s v\375razy" }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 1 " " }{TEXT 285 17 "Mno\236iny a seznamy" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 16 "Nadefinujeme si " }{TEXT 268 7 "mno\236inu" }}{PARA 0 "> " 0 " " {MPLTEXT 1 0 63 "mnozina:=\{sin(x), 'ln(1)', ''int(x,x)'', `retezec` , \"retezec\"\};" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 16 "Nadefinujeme \+ si " }{TEXT 269 6 "seznam" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 62 "seznam :=[sin(x), 'ln(1)', ''int(x,x)'', `retezec`, \"retezec\"];" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 275 12 "V\232imn\354te si:" }}{PARA 0 "" 0 "" {TEXT -1 17 "a) po\370ad\355 prvk\371; " }}{PARA 0 "" 0 "" {TEXT -1 11 "b) pou\236it\355 " }{TEXT 276 9 "apostrof\371" }{TEXT -1 2 ", " } {TEXT 277 19 "dvojit\375ch apostrof\371" }{TEXT -1 2 ", " }{TEXT 278 18 "zp\354tn\375ch apostrof\371" }{TEXT -1 3 " a " }{TEXT 279 8 "uvozo vek" }{TEXT -1 45 " - sledujte chov\341n\355 v\375raz\371 v t\354chto \+ objektech" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 7 "seznam;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 21 "V \375raz zapsan\375 uvnit\370 " }{TEXT 281 22 "jednoduch\375ch apostrof \371" }{TEXT -1 67 " je nyn\355 vyhodnocen - vyhodnocov\341n\355 byl o pozastaveno o jeden krok" }}{PARA 0 "" 0 "" {TEXT -1 31 "Naopak v \375razu zaps\341n\351mu uvnit\370 " }{TEXT 280 20 "zdvojen\375ch apos trof\371" }{TEXT -1 34 " je vyhodnocen\355 zastaveno natrvalo" }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 51 "P ro vyhodnocen\355 t\354chto prom\354nn\375ch pou\236ijeme funkci " } {HYPERLNK 17 "eval" 2 "eval" "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "e val(seznam);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 29 "P\370eveden\355 d atov\351 struktury z " }{TEXT 271 7 "mno\236iny" }{TEXT -1 4 " na " } {TEXT 270 9 "seznam - " }{TEXT -1 25 "r\371zn\351 variany s toto\236no u " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "convert(mnozina, list);" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "[mnozina[]];" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "[op(mnozina)];" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "whattype(%);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 7 "Funkce " } {HYPERLNK 17 "op" 2 "op" "" }{TEXT -1 62 " vrac\355 operandy zadan\351 ho v\375razu. V na\232em p\370\355pad\354 prvky seznamu" }}{PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 11 "op(seznam);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 42 "Na operandy se lze odvol\341vat pomoc\355 po\370ad\355" }} {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "op(1,seznam);" }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 7 "Funkce " }{HYPERLNK 17 "nops" 2 "nops" "" }{TEXT -1 73 " vrac\355 po\350et operand\371 zadan\351ho v\375razu. V na\232e m p\370\355pad\354 po\350et prvk\371 v poli" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "nops(seznam);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "mnozina;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 31 "Zjistit zda v \375raz je obsa\236en v " }{TEXT 282 7 "seznamu" }{TEXT -1 2 ", " } {TEXT 283 7 "mno\236in\354" }{TEXT -1 6 " nebo " }{TEXT 284 6 "funkci " }{TEXT -1 22 " m\371\236eme pomoc\355 funkce " }{HYPERLNK 17 "member " 2 "member" "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "member(sin(x), mn ozina);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "member(\"retezec \", mnozina);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "member(`re tezec`, mnozina);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "member (`RETEZEC`, mnozina);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "me mber(int(x,x), mnozina);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "member('int(x,x)', mnozina);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 7 "P \370\355kaz " }{HYPERLNK 17 "select" 2 "select" "" }{TEXT -1 58 " vybe re operandy ze zadan\351ho v\375raze, kter\351 sp\362uj\355 podm\355nk u" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "select(type, mnozina, string); " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 24 "Podobn\351m pracuje p\370\355 kaz " }{HYPERLNK 17 "indets" 2 "indets" "" }{TEXT -1 44 ", kter\375 vr ac\355 v\232echny neur\350it\351 dan\351ho v\375razu" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "indets(mnozina);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 19 "\332lohy k v ypracov\341n\355" }}{EXCHG {PARA 15 "" 0 "" {TEXT -1 31 "Nadefinujte p rom\354nnou s n\341zvem " }{TEXT 298 7 "(a+b)^2" }{TEXT -1 12 " s hodn otou " }{TEXT 300 2 "10" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 " " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 15 "" 0 "" {TEXT -1 30 "Hodnotu t\351to prom\354nn\351 odeberte" }}{PARA 257 "" 0 "" {TEXT 302 6 "N\341vod:" }{TEXT -1 50 " prom\354nn\351 se p \370i\370ad\355 za hodnotu sv\371j identifik\341tor" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 27 " M\355sto pro Va\232e \+ experimenty" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}} {SECT 1 {PARA 4 "" 0 "" {TEXT -1 1 " " }{TEXT 303 37 "Sekvence, suma a funkcion\341ln\355 p\370\355kazy" }}{EXCHG {PARA 0 "" 0 "" {TEXT 292 2 "*)" }{TEXT -1 38 " Pro vytvo\370en\355 sekvence slou\236\355 p\370 \355kaz " }{HYPERLNK 17 "seq" 2 "seq" "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 26 "seq(ithprime(i), i=1..10);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 67 "Interval hodnot m\371\236eme nahradit i v\375razem. V na\232em \+ p\370\355pad\354 sekvenc\355" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "seq (i^2, i = %);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 15 "Pomoc\355 p\370 \355kazu " }{HYPERLNK 17 "seq" 2 "seq" "" }{TEXT -1 47 " vytvo\370\355 me seznam prvn\355ch p\354ti derivac\355 funkce " }{TEXT 287 3 "x^5" } }{PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "derivace:=[seq(diff(x^5, x$i), i=1 ..5)];" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 41 "Ov\354\370\355me si zda prom\354nn\341 derivace je typu " }{TEXT 288 4 "list" }{TEXT -1 28 ", kter\375 obsahuje prvky tyou " }{TEXT 289 7 "polynom" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "type(derivace, list(polynom));" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 297 3 "**)" }{TEXT -1 46 " S\350\355t\341n\355 kone \350n\375ch i nekone\350n\375ch \370ad p\370\355kazem " }{HYPERLNK 17 "sum" 2 "sum" "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "sum(2*i, i=1..10 );" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "Sum(x^i, i=1..infinity): %=va lue(%);" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 290 4 "***)" }{TEXT -1 16 " P omoc\355 p\370\355kazu " }{HYPERLNK 17 "sum" 2 "sum" "" }{TEXT -1 27 " se\350teme v\232echny prvky pole" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 42 "sum(op(i, derivace), i=1..nops(derivace));" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 7 "P\370\355kaz " }{HYPERLNK 17 "map" 2 "map" "" }{TEXT -1 49 " aplikuje funkci na ka\236d\375 operand zadan\351ho v\375razu" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "map(coeffs, derivace);" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 20 " \332lohy k vypracov\341n\355" }} {EXCHG {PARA 15 "" 0 "" {TEXT -1 13 "Najd\354te chybu" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "k:=2;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "sum(k^2, k=1..5);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}} {EXCHG {PARA 15 "" 0 "" {TEXT -1 55 "Pomoc\355 n\341pov\354dy rozhodn \354te jak\375 je rozd\355l mezi p\370\355kazy " }{HYPERLNK 17 "sum" 2 "sum\247" "" }{TEXT -1 3 " a " }{HYPERLNK 17 "add" 2 "add" "" } {TEXT -1 51 ". Na vhodn\375ch p\370\355kladech prezentujte jejich pou \236it\355" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 15 "" 0 "" {TEXT -1 23 "Najd\354te chybu v \370e\232en\355 " }{TEXT 299 3 "**)" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 15 "" 0 "" {TEXT -1 6 "\330e\232te " }{TEXT 291 4 "***)" }{TEXT -1 16 " pomoc\355 p\370\355kazu " } {HYPERLNK 17 "add" 2 "add" "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 15 "" 0 "" {TEXT -1 108 "Vygenerujte polynom, jeho\236 mno\236ina ko \370en\371 bude obsahovat pr\341v\354 prvn\355ch deset prvo\350\355sel . Dokladujte vy\370e\232en\355m" }}{PARA 0 "" 0 "" {TEXT 294 6 "N\341v od:" }{TEXT -1 10 " vyu\236ijte " }{TEXT 293 3 "*) " }{TEXT -1 35 "a m ultiplikativn\355 varianty p\370\355kazu " }{HYPERLNK 17 "add" 2 "add " "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 15 "" 0 "" {TEXT -1 52 "Spo \350t\354te funk\350n\355 hodnotu uveden\375ch funkc\355 v bod\354 x=1 " }}{PARA 257 "" 0 "" {TEXT 296 6 "N\341vod:" }{TEXT -1 29 " vy\236ijt e modifikovan\351 funkce " }{HYPERLNK 17 "map" 2 "map" "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "funkce:=[sqrt(x^2+1), ln(1/x), exp( x), (2*x+3)/(x^2-4)];" }}}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 27 " M\355 sto pro Va\232e experimenty" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 7 " Bonus " }}{EXCHG {PARA 0 "" 0 "" {TEXT 301 89 "S pou\236it\355m jen v\375\232e citovan\375ch \+ p\370\355kaz\371 a funkc\355 \370e\232te dan\375 probl\351m z finan \350n\355 matematiky." }}{PARA 15 "" 0 "" {TEXT -1 58 "Jak\375 bude v \375nos pod\355lov\351ho fondu s t\354mito spo\370\355c\355mi \372daji :" }}{PARA 0 "" 0 "" {TEXT -1 55 " - m\354s\355\350n\355 vklad bude \350init 1000K\350 po cel\375ch p\354t let" }}{PARA 0 "" 0 "" {TEXT -1 87 " - po t\370ech letech spo\370en\355 bude proveden jednor\341 zov\375 vklad do fondu ve v\375\232i 100000K\350" }}{PARA 0 "" 0 "" {TEXT -1 32 " - doba trv\341n\355 fondu je 5 let" }}{PARA 0 "" 0 " " {TEXT -1 38 " - pr\371m\354rn\341 ro\350n\355 v\375nos fondu je 5 %" }}{PARA 0 "" 0 "" {TEXT -1 69 " - \372ro\350en\355 vkladu je pro v\341d\354no m\354s\355\350n\354 (pro zjednodu\232en\355 po\350\355t \341n\355)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "mesicni_vklad :=1000;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "mesicu:=12*5;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "mimoradny_vklad:=100000;" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "urok:=5;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}}{MARK "3 0 0 " 7 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 33 1 1 }