{VERSION 3 0 "IBM INTEL LINUX" "3.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 } {CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 }{CSTYLE " " -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 257 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 258 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 261 "" 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 262 "" 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 263 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 }{PSTYLE "Norm al" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 0 2 2 2 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Text Output" -1 2 1 {CSTYLE " " -1 -1 "Courier" 1 10 0 0 255 1 0 0 0 0 0 1 3 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 1" 0 3 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 }1 0 0 0 6 6 0 0 0 0 0 0 -1 0 }{PSTYLE "Headin g 2" 3 4 1 {CSTYLE "" -1 -1 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 }0 0 0 -1 4 4 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 3" 4 5 1 {CSTYLE "" -1 -1 " " 1 12 0 0 0 0 1 0 0 0 0 0 0 0 0 }0 0 0 -1 0 0 0 0 0 0 0 0 -1 0 } {PSTYLE "Warning" 2 7 1 {CSTYLE "" -1 -1 "" 0 1 0 0 255 1 0 0 0 0 0 0 1 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 3 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 11 12 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }1 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Maple Plot" 0 13 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 }3 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "Title" 0 18 1 {CSTYLE "" -1 -1 "" 1 18 0 0 0 0 0 1 1 0 0 0 0 0 0 }3 0 0 -1 12 12 0 0 0 0 0 0 19 0 }{PSTYLE "R 3 Font 0" -1 256 1 {CSTYLE "" -1 -1 "Helvetica" 1 14 0 0 0 0 2 1 2 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "R3 Font 2" -1 257 1 {CSTYLE "" -1 -1 "Courier" 1 14 0 0 0 0 2 2 2 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 5 258 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 5 259 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }} {SECT 0 {PARA 18 "" 0 "" {TEXT -1 41 "Maple 1. Pouzivani zapisniku (wo rksheets)" }}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 4 "Uvod" }}{PARA 0 "" 0 "" {TEXT -1 46 "Maple se sklada ze tri zakladnich casti: JADRA" }} {PARA 0 "" 0 "" {TEXT -1 45 "(KERNEL), KNIHOVEN (PACKAGES) a uzivatels keho" }}{PARA 0 "" 0 "" {TEXT -1 47 "rozhrani (INTERFACE). Jadro a kni hovny jsou pro" }}{PARA 0 "" 0 "" {TEXT -1 51 "vsechny systemy stejne \+ (jadro je napsano v jazyce C" }}{PARA 0 "" 0 "" {TEXT -1 45 "a po spus teni je ulozeno v pameti pocitace). " }}{PARA 0 "" 0 "" {TEXT -1 50 "U zivatelske rozhrani je pro ruzne platformy ruzne." }}{PARA 0 "" 0 "" {TEXT -1 66 "Knihovny jsou vytvareny pomoci Mapleovskeho programovacih o jazyku " }}{PARA 0 "" 0 "" {TEXT -1 48 "a je v nich ulozena vetsina \+ Maplovskych prikazu:" }}{PARA 0 "" 0 "" {TEXT -1 12 "- standardni" }} {PARA 0 "" 0 "" {TEXT -1 24 "- smisena (miscellanous)" }}{PARA 0 "" 0 "" {TEXT -1 25 "- spec. funkce (packages)" }}{PARA 0 "" 0 "" {TEXT -1 17 "- sdilena (share)" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 16 "Maple p od Unixem" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 92 "Nejnovejsi je verze M aple 9.5, ta se spousti prikazy mapleV95 a xmapleV95 (na serveru bart) ." }}{PARA 0 "" 0 "" {TEXT -1 51 "Verze (R5) znakova se na terminalech spusti zadanim" }}{PARA 0 "" 0 "" {TEXT -1 61 "mapleV51 nebo maple, p od X-windows se verze, umoznujici praci" }}{PARA 0 "" 0 "" {TEXT -1 29 "se zapisniky spousti zadanim " }{TEXT 263 21 "xmapleV51 nebo xmapl e" }{TEXT -1 2 ". " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 14 "Dale se budeme" }}{PARA 0 "" 0 "" {TEXT -1 76 "zabyvat ve rzi pro X-windows (R5), ta je nainstalovana pouze na stanicich ws." }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 8 "Oblasti:" }}{PARA 0 "" 0 "" {TEXT -1 32 "Oblasti se zapisniku se deli na:" }} {PARA 0 "" 0 "" {TEXT -1 17 "a) TEXTOVA oblast" }}{PARA 0 "" 0 "" {TEXT -1 48 "je jadrem ignorovana a slouzi k zapisu poznamek " }} {PARA 0 "" 0 "" {TEXT -1 13 "a vysvetleni." }}{PARA 0 "" 0 "" {TEXT -1 9 "b) VSTUPY" }}{PARA 0 "" 0 "" {TEXT -1 36 "zacatek vstupu je ozna cen promptem >" }}{PARA 0 "" 0 "" {TEXT -1 41 "vstupy jsou predavany j adru ke zpracovani" }}{PARA 0 "" 0 "" {TEXT -1 3 "Pr:" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 10 "c) VYSTU PY" }}{PARA 0 "" 0 "" {TEXT -1 35 "obsahuji vysledky generovane Maplem " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "1+1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 10 "d) GRAFIK A" }}{PARA 0 "" 0 "" {TEXT -1 52 "S grafikou se podrobne seznamime v d alsich hodinach." }}{PARA 0 "" 0 "" {TEXT -1 17 "U R5 mohu zvolit," }} {PARA 0 "" 0 "" {TEXT -1 57 "zda se bude grafika vykresolvat do samost atneho okna nebo" }}{PARA 0 "" 0 "" {TEXT -1 59 "primo do zapisniku Op tions->Plot Display -> Inline/Window)." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "plot(sin(x), x=-3..3);" }}{PARA 13 "" 1 "" {INLPLOT " 6%-%'CURVESG6$7Y7$$!\"$\"\"!$!1s')f!3+7T\"!#;7$$!1+++vq@pG!#:$!1&\\+T& >?!p#F-7$$!1++D^NUbFF1$!1Bpf?SUmPF-7$$!1++]K3XFEF1$!1Y)*)*3!yy\"\\F-7$ $!1++]F)H')\\#F1$!1U_LpGp&*fF-7$$!1++D'3@/P#F1$!1lA\"QTe(ppF-7$$!1++Dr ^b^AF1$!1US;)Q`4x(F-7$$!1++D,kZG@F1$!154_B9&[[)F-7$$!1++Dh\")=,?F1$!1Y mcbL-)3*F-7$$!1++DO\"3V(=F1$!1IH>'*y#Ha*F-7$$!1+++NkzVjo\"F1$!1T4v#oYL$**F-7$$!1++]d;%)G;F1$!1*Q]tUeJ)**F-7$$!1+ +DJd8k:F1$!1()\\:$=y(****F-7$$!1+++0)H%*\\\"F1$!1%)e`/\\au**F-7$$!1+++ !>eWV\"F1$!1i2_QM?2**F-7$$!1+++vl[p8F1$!1wmv(Hb!)z*F-7$$!1+++&>iUC\"F1 $!1-#)p'\\(fr%*F-7$$!1++DhkaI6F1$!1QX\"Q2_k/*F-7$$!1+++]XF`**F-$!1nA\" R@s$*Q)F-7$$!1++++Az2))F-$!1rBtd7N7xF-7$$!1++]7RKvuF-$!1gs?Z;J)z'F-7$$ !1-+++P'eH'F-$!1]@NJ[5))eF-7$$!1****\\7*3=+&F-$!1(RhwxUez%F-7$$!1)*** \\PFcpPF-$!1=O'pa@4o$F-7$$!1)****\\7VQ[#F-$!1;)*Hth[u0aq(F-7$$\"1+++Ik-,5F1$\"1M*o$R7D?%)F-7$$\"1+++D-eI6F1$\"1 q\"=\"effY!*F-7$$\"1++v=_(zC\"F1$\"1*R2p:UM[*F-7$$\"1+++b*=jP\"F1$\"1& [&>M!)[6)*F-7$$\"1+](=o*pO9F1$\"1i];(4D-\"**F-7$$\"1++v3/3(\\\"F1$\"1u Gb=@%G(**F-7$$\"1++Dmc>g:F1$\"1s;CN\"Q%****F-7$$\"1++vB4JB;F1$\"1FY9aU @')**F-7$$\"1+]PCw,&o\"F1$\"1c-Vm$Q[$**F-7$$\"1+++DVsYw7#F1$\"1h?zebQ*[)F-7$$\"1++v)Q?QD#F1$\"1f$[FF1$\"1*=+5UO@$QF-7$$\"1++D6EjpGF1$\"1 yJ#)[&*>'o#F-7$$\"\"$F*$\"1s')f!3+7T\"F--%'COLOURG6&%$RGBG$\"#5!\"\"F* F*-%+AXESLABELSG6$Q\"x6\"%!G-%%VIEWG6$;F(Fd\\l%(DEFAULTG" 2 197 167 167 2 0 1 0 2 9 0 4 2 1.000000 45.000000 45.000000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 16352 -16705 0 0 0 0 0 0 }}}{EXCHG {PARA 0 " " 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 46 "Odeslani vstupu ja dru ke zpracovani se provede" }}{PARA 0 "" 0 "" {TEXT -1 47 "umistenim kursoru na radek se vstupem a stiskem" }}{PARA 0 "" 0 "" {TEXT -1 14 "klavesy ENTER." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 51 "Maple muze byt pouzit i jako kalkulator. Scitani +," }}{PARA 0 "" 0 "" {TEXT -1 48 " odcitani -, nasobeni *, deleni /, umocnovani ^ a" }}{PARA 0 "" 0 "" {TEXT -1 23 "druha odmocnina sqrt()." }}{PARA 0 "" 0 "" {TEXT -1 46 "V SIMNETE SI: vstup musi byt ukoncen strednikem" }}{PARA 0 "" 0 "" {TEXT -1 49 "(v tomto pripade se vystup vypisuje na obrazovku)" }} {PARA 0 "" 0 "" {TEXT -1 52 "nebo dvojteckou (vystup se na obrazovku n evypisuje)." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "32*12^4;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"'_Nm" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "20!-12!;" }}{PARA 11 "" 1 " " {XPPMATH 20 "6#\"4+%Qwp2?!HV#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 82 "Na vysledek predchazejiciho prikazu se muzeme odvolat pomoci %, na dalsi pomoci %%" }}{PARA 0 "" 0 "" {TEXT -1 80 " a na treti odzadu po moci %%%. Napriklad vysledek predchazejiciho prikazu chceme" }}{PARA 0 "" 0 "" {TEXT -1 22 "rozlozit na prvocisla." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "ifactor(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*.)-%! G6#\"\"#\"#5\"\"\")-F&6#\"\"$\"\"&F*)-F&6#F/F(F*-F&6#\"\"(\"\"\")-F&6# \"#6F.F*-F&6#\")>h(>%F6" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 44 "Vysled ek muzeme overit opetnym roznasobenim." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "expand(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"4+%Qwp2?!HV#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 44 "Maple pracuje standardne v pres ne aritmetice" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "(2^30/3^20)*sqrt(2 );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*$-%%sqrtG6#\"\"#\"\"\"#\"+C=u t5\"+,Wy'[$" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 39 "Aproximaci ziskame pomoci prikazu evalf" }}{PARA 0 "" 0 "" {TEXT -1 28 "(evaluate to flo ating point)" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "evalf(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+%=;]N%!#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "sum((1+i)/(1+i^4), i=1..20);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##\"\\oV,?%eM9)*\\jqd^nm_m*zW\\t%=kE^R^:*3Jv#\"\\o\\g,YI %4TBF&p(4;#\\*y(Q&GFS7%)3>u\\EiPl@" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 34 "Presnost aproximace je mozno urcit" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "evalf(%,30);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"?.qG\\L!*fjFC(*GUr7!#H" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 42 "Komplexni aritmetika. Pomoci prikazu evalc" }}{PARA 0 "" 0 "" {TEXT -1 75 "provadime prevod vyrazu na tvar a+bI, kde I preds tavuje komplexni jednotku." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "evalc ((3+5*I)*(7+4*I));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&\"\"\"F$%\"IG \"#Z" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 130 "POZOR! % odkazuje na vys tup predchazejiciho provedeneho (predaneho jadru ke zpracovani) prikaz u, ne prikazu zapsaneho v zapisniku!" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 17 "Editace zapisniku" }}{EXCHG {PARA 0 "" 0 "" {TEXT 256 19 "Kopirovani a presun" }}{PARA 0 "" 0 "" {TEXT -1 47 "Vyzkousejte edita ci na nasledujicich prikazech:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }} {PARA 0 "" 0 "" {TEXT -1 67 "Maple je mozno pouzivat i jako symbolicky a algebraicky kalkulator." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "(x+y) ^3*(x-y)^2;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&),&%\"xG\"\"\"%\"yGF' \"\"$\"\"\"),&F&F'F(!\"\"\"\"#F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "%^3;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&),&%\"xG\"\" \"%\"yGF'\"\"*\"\"\"),&F&F'F(!\"\"\"\"'F*" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 10 "expand(%);" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#,B*$) %\"xG\"#:\"\"\"\"\"\"*$)%\"yGF'F(F)*&)F&\"#9F(F,F)\"\"$*&)F&\"#8F()F, \"\"#F(!\"$*&)F&\"#7F()F,F0F(!#<*&)F&\"#6F()F,\"\"%F(F6*&)F&\"#5F()F, \"\"&F(\"#R*&)F&\"\"*F()F,\"\"'F(\"#D*&)F&\"\")F()F,\"\"(F(!#X*&)F&FQF ()F,FOF(FR*&)F&FKF()F,FIF(FL*&)F&FEF()F,FCF(FF*&)F&F@F()F,F>F(F6*&)F&F 0F()F,F9F(F;*&)F&F5F()F,F3F(F6*&F&F))F,F/F(F0" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "factor(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*& ),&%\"xG\"\"\"%\"yGF'\"\"*\"\"\"),&F&F'F(!\"\"\"\"'F*" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 8 "Napoveda" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 46 "Napoveda se objevi ve zvlastnim okne, priklady" }}{PARA 0 "" 0 "" {TEXT -1 58 "z napovedy mohou byt kopirovany do zapisniku a provede ny. " }}{PARA 0 "" 0 "" {TEXT -1 82 "K napovede se dostavam pres menu \+ HELP (help browser), ktere umozni vybrat napovedu" }}{PARA 0 "" 0 "" {TEXT -1 28 " k prikazu, ktery potrebuji." }}{PARA 0 "" 0 "" {TEXT -1 48 "Druhy zpusob vyvolani napovedy je zadanim vstupu" }}{PARA 0 "" 0 " " {TEXT -1 8 "?prikaz." }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "?int" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "??int" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 61 "??prikaz vypise syntaxi prikazu a ???prikaz priklady pouziti." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "???int" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 113 "Pokud nezname presne zadani prika zu, staci za ? zadat pouze cast prikazu a Maple nam nabidne odpovidaji ci prikazy" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "?pl;" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 22 "Tisk, ukladani souboru" }}{PARA 0 "" 0 " " {TEXT -1 36 "Z menu File zvolime zvolime Save As " }}{PARA 0 "" 0 " " {TEXT -1 55 "*.ms - zapisnik, moznost opetneho nacteni do Maplu (R3) " }}{PARA 0 "" 0 "" {TEXT -1 23 "*.mws - zapisnik pro R5" }}{PARA 0 " " 0 "" {TEXT -1 9 "Export As" }}{PARA 0 "" 0 "" {TEXT -1 44 "Plain tex t (*.txt) - obycejny textovy soubor" }}{PARA 0 "" 0 "" {TEXT -1 71 "Ma ple text (*.txt) - textovy soubor, umoznujici opetne nacteni do Maplu " }}{PARA 0 "" 0 "" {TEXT -1 36 "LaTeX (*.tex) - zdrovy kod pro LaTeX " }}{PARA 0 "" 0 "" {TEXT -1 26 "HTML (*.html) - jazyk HTML" }}{PARA 0 "" 0 "" {TEXT -1 26 "Ukonceni - menu File, EXIT" }}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 5 "Ukoly" }}{PARA 0 "" 0 "" {TEXT -1 42 "Reseni ukolu mi zaslete ve forme textoveho" }}{PARA 0 "" 0 "" {TEXT -1 80 "souboru (Maple-text) e-mailem. Jako prilohu zapisnik vytisteny do postscript u. " }}{PARA 0 "" 0 "" {TEXT -1 53 "Cely zapisnik dale exporujte do HT ML a pridejte odkaz" }}{PARA 0 "" 0 "" {TEXT -1 62 "(Prezentace v Mapl u) na Vasi webovou stranku a poslete mi URL." }}{SECT 0 {PARA 258 "" 0 "" {TEXT -1 6 "Ukol 1" }{TEXT 261 0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 42 "Roznasobte a pote rozlozte na soucin vyraz" }}{PARA 0 "" 0 "" {TEXT -1 45 "((3*x^2+5*x*y-2*y^2)*(x-y)^3)^2. Nezadavejte " }} {PARA 0 "" 0 "" {TEXT -1 40 "vyraz z klavesnice, pouzijte kopirovani. " }}}}{SECT 0 {PARA 5 "" 0 "" {TEXT -1 0 "" }{TEXT 260 6 "Ukol 2" }} {EXCHG {PARA 0 "" 0 "" {TEXT -1 35 "Projdete nasledujici serii prikazu ." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "(x^3-y^3)/(x^2+x-y-y^2 );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&,&*$)%\"xG\"\"$\"\"\"\"\"\"*$) %\"yGF(F)!\"\"F),**$)F'\"\"#F)F*F'F*F-F.*$)F-F2F)F.!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "normal((x^3-y^3)/(x^2+x-y-y^2));" } }{PARA 11 "" 1 "" {XPPMATH 20 "6#*&,(*$)%\"yG\"\"#\"\"\"\"\"\"*&%\"xGF *F'F*F**$)F,F(F)F*F),(F'F*F*F*F,F*!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "convert(%,parfrac, x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(%\"xG\"\"\"!\"\"F%*&,(*$)%\"yG\"\"#\"\"\"F%F+F%F%F%F-,(F+F%F%F %F$F%!\"\"F%" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 39 "Predchazejici pos tup pouzijte na vyraz " }{XPPEDIT 18 0 "(x^2-1)/(3*x^3-11*x^2+13*x-5); " "6#*&,&*$%\"xG\"\"#\"\"\"\"\"\"!\"\"F(,**&\"\"$F(*$F&\"\"$F(F(*&\"#6 F(*$F&\"\"#F(F**&\"#8F(F&F(F(\"\"&F*F*" }{TEXT -1 1 "." }}}}{SECT 0 {PARA 259 "" 0 "" {TEXT -1 6 "Ukol 3" }{TEXT 262 0 "" }}{PARA 0 "" 0 " " {TEXT -1 45 "Pomoci postupu uvedeneho na prednasce urcete " } {XPPEDIT 18 0 "Int(x^2*sin(x),x);" "6#-%$IntG6$*&%\"xG\"\"#-%$sinG6#F' \"\"\"F'" }{TEXT -1 1 "." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 126 "Najd ete dve skupiny Netnews, ktere se zabyvaji programem Maple. Uvedte jej ich nazvy a nektery z prispevku prilozte k odpovedi." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 111 "Najdete alespon tri ceske webove stranky, veno vane systemu Maple (ne z domeny math.muni.cz). Uvedte jejich URL." }}} }{SECT 1 {PARA 3 "" 0 "" {TEXT -1 21 "Ukazky moznosti Maplu" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 30 "Reseni ro vnic a systemu rovnic" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 45 "x^3-1/2*x^ 2*a+13/3*x^2-13/6*x*a-10/3*x+5/3*a;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6 #,.*$)%\"xG\"\"$\"\"\"\"\"\"*&)F&\"\"#F(%\"aGF)#!\"\"F,*$F+F(#\"#8F'*& F&F)F-F(#!#8\"\"'F&#!#5F'F-#\"\"&F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "solve(%,x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6%!\"&# \"\"#\"\"$,$%\"aG#\"\"\"F%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "eqn1 := x+2*y+3*z+4*t+5*u=41:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "eqn2 := 5*x+5*y+4*z+3*t+2*u=20:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "eqn3 := 3*y+4*z-8*t+2*u=125:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "eqn4 := x+y+z+t+u=9:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "eqn5 := 8*x+4*z+3*t+2*u=11:" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "s1 := solve(\{eqn.(1..5)\}, \+ \{x,y,z,t,u\});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#s1G<'/%\"zG!\"\" /%\"yG\"\"$/%\"xG\"\"#/%\"tG!#6/%\"uG\"#;" }}}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 39 "s2 := solve(\{eqn.(1..4)\}, \{x,y,z,t,u\});" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%#s2G<'/%\"xG\"\"#/%\"yG,&%\"uG#\"#A \"#8#!$8$F/\"\"\"/%\"tG,&F,#!\"%F/#!#zF/F2/%\"zG,&F,#!#JF/#\"$$[F/F2/F ,F," }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "subs(s2,\{eqn.(1..4) \});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<&/\"#TF%/\"#?F'/\"$D\"F)/\"\" *F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "subs(s1,\{eqn.(1..5) \});" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<'/\"#TF%/\"#?F'/\"$D\"F)/\"\" *F+/\"#6F-" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 257 8 "Calculus" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 39 "f := (x^2 -2*x+1)/(x^4+3*x^3-7*x^2+x+2);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\" fG*&,(*$)%\"xG\"\"#\"\"\"\"\"\"F)!\"#F,F,F+,,*$)F)\"\"%F+F,*$)F)\"\"$F +F4F'!\"(F)F,F*F,!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "l imit(f, x=1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##\"\"\"\"\")" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "f := (2*x+3)/(7*x+5);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG*&,&%\"xG\"\"#\"\"$\"\"\"\"\"\", &F'\"\"(\"\"&F*!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "lim it(f, x=infinity);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##\"\"#\"\"(" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "f := x*sin(x)+2*x^2;" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG,&*&%\"xG\"\"\"-%$sinG6#F'F(F(*$ )F'\"\"#\"\"\"F." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "diff(f, x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(-%$sinG6#%\"xG\"\"\"*&F'F(-%$ cosGF&F(F(F'\"\"%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "int(%,x );" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*&%\"xG\"\"\"-%$sinG6#F%F&F&*$ )F%\"\"#\"\"\"F," }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 29 "Reseni difere ncialnich rovnic" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "dsolve(diff(y(x ),x)-y(x)=0, y(x));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"yG6#%\"xG* &%$_C1G\"\"\"-%$expGF&F*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 258 18 "Oper ace s maticemi" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "with(linalg):" }} {PARA 7 "" 1 "" {TEXT -1 32 "Warning, new definition for norm" }} {PARA 7 "" 1 "" {TEXT -1 33 "Warning, new definition for trace" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "M := array(1..2, 1..2);" }} {PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"MG-%&arrayG6%;\"\"\"\"\"#F(7\"" }} }{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "det(M);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*&&%\"MG6$\"\"\"F(F(&F&6$\"\"#F+F(F(*&&F&6$F(F+F(&F&6 $F+F(F(!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "H:=hilbert( 5);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"HG-%'matrixG6#7'7'\"\"\"#F* \"\"##F*\"\"$#F*\"\"%#F*\"\"&7'F+F-F/F1#F*\"\"'7'F-F/F1F4#F*\"\"(7'F/F 1F4F7#F*\"\")7'F1F4F7F:#F*\"\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "HI:=inverse(H);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#HIG-%'ma trixG6#7'7'\"#D!$+$\"%]5!%+9\"$I'7'F+\"%+[!&+*=\"&!)o#!&+E\"7'F,F1\"&! Qz!'+w6\"&+n&7'F-F2F6\"'+#z\"!&+#))7'F.F3F7F:\"&+T%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "multiply(H,HI);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'matrixG6#7'7'\"\"\"\"\"!F)F)F)7'F)F(F)F)F)7'F)F)F(F) F)7'F)F)F)F(F)7'F)F)F)F)F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 259 8 "ANI MACE\n" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 1848 " restart:\n with(plots) :\n body := [[1,1,1],[-1,1,1],[-1,-1,1],[1,-1,1]],[[1,1,-1],[-1,1,-1], [-1,-1,-1],[1,-1,-1]],\n [[1,1,1],[1,-1,1],[1,-1,-1],[1,1 ,-1]],[[-1,1,1],[-1,-1,1],[-1,-1,-1],[-1,1,-1]]:\n tail:=[[-1,-.5,.5], [-4,-.8,.8],[-4,.8,.8],[-1,.5,.5]],[[-1,-.5,-.5],[-4,-.8,-.8],[-4,.8,- .8],[-1,.5,-.5]]:\n lwing01:=[[-1,1,1],[1,1,1],[.5,6,4],[-1,6,4]],[[-1 ,1,-1],[1,1,-1],[.5,6,3.5],[-1,6,3.5]],\n [[.5,6,3.5],[ -1,6,3.5],[-.4,11,3],[-.4,11,3]],[[.5,6,4],[-1,6,4],[-.4,11,3],[-.4,11 ,3]]:\n lwing02:=[[-1,1,1],[1,1,1],[.5,6,-2],[-1,6,-2]],[[-1,1,-1],[1, 1,-1],[.5,6,-2.5],[-1,6,-2.5]],\n [[.5,6,-2.5],[-1,6,-2 .5],[-.4,11,-5],[-.4,11,-5]],[[.5,6,-2],[-1,6,-2],[-.4,11,-5],[-.4,11, -5]]:\n rwing01:=[[-1,-1,1],[1,-1,1],[.5,-6,4],[-1,-6,4]],[[-1,-1,-1], [1,-1,-1],[.5,-6,3.5],[-1,-6,3.5]],\n [[.5,-6,3.5],[-1, -6,3.5],[-.4,-11,3],[-.4,-11,3]],[[.5,-6,4],[-1,-6,4],[-.4,-11,3],[-.4 ,-11,3]]:\n rwing02:=[[-1,-1,1],[1,-1,1],[.5,-6,-2],[-1,-6,-2]],[[-1,- 1,-1],[1,-1,-1],[.5,-6,-2.5],[-1,-6,-2.5]],\n [[.5,-6,- 2.5],[-1,-6,-2.5],[-.4,-11,-5],[-.4,-11,-5]],[[.5,-6,-2],[-1,-6,-2],[- .4,-11,-5],[-.4,-11,-5]]:\n head:=[[1,.5,1],[1,-.5,1],[2,-.3,1.5],[2,. 3,1.5]],[[1,.5,0],[1,-.5,0],[2,-.3,1],[2,.3,1]],\n [[2,-.3, 1],[2,.3,1],[3,0,1],[3,0,1]],[[2,-.3,1.5],[2,.3,1.5],[3,0,1],[3,0,1]]: \n bird01:=[body,tail,lwing01,rwing01, head]:\n bird02:=[body,tail,lwi ng02,rwing02, head]:\n polygonplot3d(bird01, axes = boxed, labels = [x ,y,z], scaling=constrained):\n polygonplot3d(bird02, axes = boxed, lab els = [x,y,z], scaling=constrained):\n morph3d:=proc(first,last,t)\n l ocal k,j;\n [seq([seq([(1-t)*op(1,op(j,op(k,first))) + t*op(1,op(j,op( k,last))),\n (1-t)*op(2,op(j,op(k,first))) + t*op(2,op(j,op(k,last))) ,(1-t)*\n op(3,op(j,op(k,first))) + t*op(3,op(j,op(k,last)))],j=1..4)] , k=1..nops(first))]:\n end:\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 241 " a:=seq(polygonplot3d([morph3d(bird01,bird02,t/5)],\n scaling = constrained),t=0..5):\n b:=seq(polygonplot3d([morph3d(bird02,bird01 ,t/5)],\n scaling = constrained),t=0..5):\n display3d([a,b], insequenc e=true); #try this with the loop button on\n\n" }}{PARA 13 "" 1 "" {INLPLOT "6#-%(ANIMATEG6.7$-%)POLYGONSG647&7%$\"\"\"\"\"!F,F,7%$!\"\"F .F,F,7%F0F0F,7%F,F0F,7&7%F,F,F07%F0F,F07%F0F0F07%F,F0F07&F+F3F8F57&F/F 2F7F67&7%F0$!\"&F1$\"\"&F17%$!\"%F.$!\")F1$\"\")F17%FBFFFF7%F0F?F?7&7% F0F=F=7%FBFDFD7%FBFFFD7%F0F?F=7&F/F+7%F?$\"\"'F.$\"\"%F.7%F0FQFS7&F6F5 7%F?FQ$\"#NF17%F0FQFX7&FWFZ7%$FCF1$\"#6F.$\"\"$F.Ffn7&FPFUFfnFfn7&F2F3 7%F?$!\"'F.FS7%F0F_oFS7&F7F87%F?F_oFX7%F0F_oFX7&FcoFdo7%Fgn$!#6F.FjnFf o7&F^oFaoFfoFfo7&7%F,F?F,7%F,F=F,7%$\"\"#F.$!\"$F1$\"#:F17%F^p$F[oF1Fb p7&7%F,F?F.7%F,F=F.7%F^pF`pF,7%F^pFepF,7&FipFjp7%FjnF.F,F\\q7&F]pFdpF \\qF\\q-%(SCALINGG6#%,CONSTRAINEDG7$-F(64F*F4F9F:7&7%F0$!+++++]!#5$\"+ ++++]Fiq7%FB$!+++++!)Fiq$\"+++++!)Fiq7%FBF_rF_r7%F0FjqFjq7&7%F0FgqFgq7 %FBF]rF]r7%FBF_rF]r7%F0FjqFgq7&F/F+7%FjqFQ$\"+++++G!\"*7%F0FQFjr7&F6F5 7%FjqFQ$\"+++++BF\\s7%F0FQF`s7&F_sFbs7%$!+++++SFiqFhn$\"+++++9F\\sFds7 &FirF]sFdsFds7&F2F37%FjqF_oFjr7%F0F_oFjr7&F7F87%FjqF_oF`s7%F0F_oF`s7&F ^tF_t7%FesFgoFgsFat7&F[tF\\tFatFat7&7%F,FjqF,7%F,FgqF,7%F^p$!+++++IFiq $\"+++++:F\\s7%F^p$\"+++++IFiqFit7&7%F,FjqF.7%F,FgqF.7%F^pFgtF,7%F^pF \\uF,7&FauFbuF\\qF\\q7&FftF[uF\\qF\\qF^q7$-F(64F*F4F9F:FeqFcr7&F/F+7%F jqFQ$\"+++++;F\\s7%F0FQFju7&F6F57%FjqFQ$\"+++++6F\\s7%F0FQF_v7&F^vFav7 %FesFhn$!+++++?FiqFcv7&FiuF\\vFcvFcv7&F2F37%FjqF_oFju7%F0F_oFju7&F7F87 %FjqF_oF_v7%F0F_oF_v7&F[wF\\w7%FesFgoFdvF^w7&FhvFivF^wF^wFctF^uFcuFduF ^q7$-F(64F*F4F9F:FeqFcr7&F/F+7%FjqFQ$\"+++++SFiq7%F0FQFew7&F6F57%FjqFQ $!*++++\"F\\s7%F0FQFjw7&FiwF\\x7%FesFhn$!+++++=F\\sF^x7&FdwFgwF^xF^x7& F2F37%FjqF_oFew7%F0F_oFew7&F7F87%FjqF_oFjw7%F0F_oFjw7&FfxFgx7%FesFgoF_ xFix7&FcxFdxFixFixFctF^uFcuFduF^q7$-F(64F*F4F9F:FeqFcr7&F/F+7%FjqFQF]r 7%F0FQF]r7&F6F57%FjqFQ$!+++++8F\\s7%F0FQFcy7&FbyFey7%FesFhn$!+++++MF\\ sFgy7&F_yF`yFgyFgy7&F2F37%FjqF_oF]r7%F0F_oF]r7&F7F87%FjqF_oFcy7%F0F_oF cy7&F_zF`z7%FesFgoFhyFbz7&F\\zF]zFbzFbzFctF^uFcuFduF^q7$-F(64F*F4F9F:F ;FJ7&F/F+7%F?FQ$!\"#F.7%F0FQFiz7&F6F57%F?FQ$!#DF17%F0FQF^[l7&F][lF`[l7 %FgnFhn$F>F.Fb[l7&FhzF[[lFb[lFb[l7&F2F37%F?F_oFiz7%F0F_oFiz7&F7F87%F?F _oF^[l7%F0F_oF^[l7&Fi[lFj[l7%FgnFgoFc[lF\\\\l7&Ff[lFg[lF\\\\lF\\\\lFjo FfpF[qF]qF^qFdzF[yF`wFeuFbqF&" 3 257 257 257 2 0 1 0 2 1 0 1 2 1.000000 45.000000 45.000000 14010 14091 14086 14104 14112 15010 15070 20540 0 17560 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 100 0 }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}}{MARK "2" 0 } {VIEWOPTS 1 1 0 1 1 1803 }