{VERSION 6 0 "IBM INTEL LINUX" "6.0" } {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 "" -1 261 "" 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 262 "" 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 264 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 265 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 266 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 } {PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 0 2 2 2 0 0 0 0 0 0 1 }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 } 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 }1 0 0 0 6 6 0 0 0 0 0 0 -1 0 }{PSTYLE "Heading 2" 3 4 1 {CSTYLE "" -1 -1 "" 1 14 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }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 1 }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 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "M aple Output" 0 11 1 {CSTYLE "" -1 -1 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }3 3 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 1 }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 1 }3 0 0 -1 12 12 0 0 0 0 0 0 19 0 }{PSTYLE "R3 Fo nt 0" -1 256 1 {CSTYLE "" -1 -1 "Helvetica" 1 14 0 0 0 0 2 1 2 0 0 0 0 0 0 1 }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 1 }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 1 }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 1 }0 0 0 -1 -1 -1 0 0 0 0 0 0 -1 0 }{PSTYLE "" 0 260 1 {CSTYLE "" -1 -1 "" 0 1 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 }{PSTYLE "" 0 261 1 {CSTYLE "" -1 -1 "" 0 1 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 {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 29 "Oblasti zapisniku se \+ deli na:" }}{PARA 0 "" 0 "" {TEXT -1 17 "a) TEXTOVA oblast" }}{PARA 0 "" 0 "" {TEXT -1 60 "je jadrem ignorovana a slouzi k zapisu poznamek a komentaru." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 9 "b) VSTUPY" }}{PARA 0 "" 0 "" {TEXT -1 45 "zacatek vstupu je oznacen promptem (vyzvou) >" }}{PARA 0 "" 0 "" {TEXT -1 41 "Vstupy jsou predavany jadru ke zpracova ni" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "1+1;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 10 "c) V YSTUPY" }}{PARA 0 "" 0 "" {TEXT -1 35 "obsahuji vysledky generovane Ma plem" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 10 "d) GRAFIKA" }}{PARA 0 "" 0 "" {TEXT -1 51 "s grafikou s podrobne seznamime v dalsich hodinach. " }}{PARA 0 "" 0 "" {TEXT -1 77 "Grafika se muze vykreslovat bud primo do zapisniku nebo do samostatneho okna:" }}{PARA 0 "" 0 "" {TEXT -1 49 "(File -> Preferences -> Plotting -> volba Window)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "plot(sin(x), x=-3..3);\n" }}{PARA 13 "" 1 "" {GLPLOT2D 374 374 374 {PLOTDATA 2 "6%-%'CURVESG6$7Y7$$!\"$ \"\"!$!38s')f!3+7T\"!#=7$$!3*)*****\\2<#pG!#<$!37&\\+T&>?!p#F-7$$!3$)* **\\7bBav#F1$!3]Bpf?SUmPF-7$$!36++]K3XFEF1$!31Y)*)*3!yy\"\\F-7$$!3%)** **\\F)H')\\#F1$!3!=CN$pGp&*fF-7$$!3#****\\i3@/P#F1$!3![E7QTe(ppF-7$$!3 ;++Dr^b^AF1$!3NTS;)Q`4x(F-7$$!3$****\\7Sw%G@F1$!3[54_B9&[[)F-7$$!3**** *\\7;)=,?F1$!3lXmcbL-)3*F-7$$!3.++DO\"3V(=F1$!3\")HH>'*y#Ha*F-7$$!3$** ****\\V'zVjo\"F1$!3\"4%4v#oYL$**F-7$ $!3******\\d;%)G;F1$!3G*Q]tUeJ)**F-7$$!3%****\\7tNTc\"F1$!3+()\\:$=y(* ***F-7$$!3!******\\!)H%*\\\"F1$!3h$)e`/\\au**F-7$$!3'********=eWV\"F1$ !3\">w?&QM?2**F-7$$!3/+++vl[p8F1$!3'fncxHb!)z*F-7$$!3\"******\\>iUC\"F 1$!3&>?)p'\\(fr%*F-7$$!3-++DhkaI6F1$!3?QX\"Q2_k/*F-7$$!3s******\\XF`** F-$!3GnA\"R@s$*Q)F-7$$!3u*******>#z2))F-$!3^qBtd7N7xF-7$$!3R++]7RKvuF- $!3Ags?Z;J)z'F-7$$!3s,+++P'eH'F-$!3-]@NJ[5))eF-7$$!3q)***\\7*3=+&F-$!3 o(RhwxUez%F-7$$!3[)***\\PFcpPF-$!31=O'pa@4o$F-7$$!3;)****\\7VQ[#F-$!3W ;)*Hth[u0aq(F-7$$ \"3e******Hk-,5F1$\"3QM*o$R7D?%)F-7$$\"36+++D-eI6F1$\"3')p\"=\"effY!*F -7$$\"3t***\\(=_(zC\"F1$\"3+*R2p:UM[*F-7$$\"3M+++b*=jP\"F1$\"3l%[&>M!) [6)*F-7$$\"3(***\\(=o*pO9F1$\"3%=1lr4D-\"**F-7$$\"3g***\\(3/3(\\\"F1$ \"3ttGb=@%G(**F-7$$\"3%)***\\im&>g:F1$\"3or;CN\"Q%****F-7$$\"33++vB4JB ;F1$\"3\\FY9aU@')**F-7$$\"3\"***\\PCw,&o\"F1$\"3Uc-Vm$Q[$**F-7$$\"3v** ***\\KCnu\"F1$\"3(3W_(GakX)*F-7$$\"3s***\\(=n#f(=F1$\"3se$\\k)y2Q&*F-7 $$\"3P+++!)RO+?F1$\"3kP%4Z(*e94*F-7$$\"30++]_!>w7#F1$\"3!31#zebQ*[)F-7 $$\"3N++v)Q?QD#F1$\"3re$[FF1$\"3.*=+5UO@$QF-7$$\"38++D6EjpGF1$\"3oxJ#)[&*>'o#F-7$$ \"\"$F*$\"38s')f!3+7T\"F--%'COLOURG6&%$RGBG$\"#5!\"\"$F*F*F_]l-%+AXESL ABELSG6$Q\"x6\"Q!Fd]l-%%VIEWG6$;F(Fd\\l%(DEFAULTG" 1 2 0 1 10 0 2 9 1 4 2 1.000000 45.000000 44.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 109 "Odeslani vstupu jadru ke zpracovani se provede umis tenim kurzoru na radek se vstupem a stiskem klavesy ENTER." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 40 "Maple muze byt pouzit i jako kalkulator: " }}{PARA 0 "" 0 "" {TEXT -1 80 "Scitani +, odcitani-, nasobeni*, dele ni/, umocnovani ^ a druha odmocnina sqrt()." }}}{EXCHG {PARA 0 "" 0 " " {TEXT -1 149 "VSIMNETE SI: vstup musi byt ukoncen strednikem (v tomt o ptipade se vystup vypisuje na obrazovku) nebo dvojteckou (vystup se \+ na obrazovku nevypisuje)." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "32*12^4;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"'_Nm" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "20!-12!;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"4+%Qwp2?!HV#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 192 "Na vysledek predchazejiciho prikazu se muzeme odvolat pomoci %, na da lsi pomoci %% a na treti odazdu pomoci %%%. Napriklad vysledek predcha zejiciho vypoctu chceme rozlozit na soucin prvocisel." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "ifactor(%);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*.)-%!G6#\"\"# \"#5\"\"\")-F&6#\"\"$\"\"&F*)-F&6#F/F(F*-F&6#\"\"(F*)-F&6#\"#6F.F*-F&6 #\")>h(>%F*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 44 "Vysledek muzeme ov erit zpetnym roznasobenim." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "expand(%);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"4+%Qwp2?!HV#" }} }{EXCHG {PARA 0 "" 0 "" {TEXT -1 44 "Maple standardne pracuje v presne aritmetice" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "(2^30/3^20)* sqrt(2);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*(\"+C=ut5\"\"\"\"+,Wy '[$!\"\"\"\"##F&F)F&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 34 "Aproximac i ziskame pomoci prikazu " }{TEXT 264 6 "evalf " }{TEXT -1 29 "(evalua te to floating point)." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "e valf(%);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+%=;]N%!#5" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "sum((1+i)/(1+i^4), i=1..20); \n" }{TEXT -1 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##\"\\oV,?%eM9)*\\ jqd^nm_m*zW\\t%=kE^R^:*3Jv#\"\\o\\g,YI%4TBF&p(4;#\\*y(Q&GFS7%)3>u\\EiP l@" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 58 "Presnost aproximace je mozn o urcit (poctem platnym cislic)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "evalf(%,30);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"?.qG\\L!* fjFC(*GUr7!#H" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 74 "Komplexni aritme tika - komplexni jednotku reprezentujeme v Maplu pomoci I." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "evalc((3+5*I)*(7+4*I));\n" }}} {EXCHG {PARA 0 "" 0 "" {TEXT -1 130 "POZOR! % odkazuje na vystup predc hazejiciho provedeneho (predaneho jadru ke zpracovani) prikazu, ne pri kazu zapsaneho v zapisniku!" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 17 " Editace zapisniku" }}{EXCHG {PARA 0 "" 0 "" {TEXT 265 19 "Kopirovani a presun" }}{PARA 0 "" 0 "" {TEXT -1 47 "Vyzkousejte editaci na nasledu jicich prikazech:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 67 "Maple je mozno pouzivat i jako symbolicky a algebraicky k alkulator." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "(x+y)^3*(x-y) ^2;\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "%^3;\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "expand(%);\n" }}}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 11 "factor(%);\n" }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 8 "Napoveda" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 147 "Napoveda \+ se zobrazuje v samostatnem okne, priklady z napovedy mohou byt zkopiro vany do zapisniku a provedeny. K napovede se dostanu pres menu HELP." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 50 "Druhy zpusob vyvolani napovedy \+ je zadanim vstupu ?" }{TEXT 266 6 "prikaz" }{TEXT -1 1 "." }}}{EXCHG {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 -1 121 "Pokud nezname presne jmeno prikazu, staci za ? zadat pou ze cast prikazu a Maple nam nabidne vsechny odpovidajici prikazy." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "?pl;\n" }}}}{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 17 "*.mws - zapisnik " }}{PARA 0 "" 0 "" {TEXT -1 9 "Export As" }} {PARA 0 "" 0 "" {TEXT -1 44 "Plain text (*.txt) - obycejny textovy sou bor" }}{PARA 0 "" 0 "" {TEXT -1 71 "Maple text (*.txt) - textovy soubo r, umoznujici opetne nacteni do Maplu" }}{PARA 0 "" 0 "" {TEXT -1 36 " LaTeX (*.tex) - zdrovy kod pro LaTeX" }}{PARA 0 "" 0 "" {TEXT -1 41 "H TML (*.html) - jazyk HTML, HTML s MathML" }}{PARA 0 "" 0 "" {TEXT -1 12 "WORD (*.rtf)" }}{PARA 0 "" 0 "" {TEXT -1 26 "Ukonceni - menu File, EXIT" }}}{SECT 1 {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 zapis nik vytisteny do postscriptu. " }}{PARA 0 "" 0 "" {TEXT -1 53 "Cely za pisnik dale exporujte do HTML a pridejte odkaz" }}{PARA 0 "" 0 "" {TEXT -1 62 "(Prezentace v Maplu) na Vasi webovou stranku a poslete mi URL." }}{SECT 1 {PARA 258 "" 0 "" {TEXT -1 6 "Ukol 1" }{TEXT 261 0 " " }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 113 "Roznasobte a pote rozlozte na souci vyraz ((3*x^2+5*x*y-2*y^2)*(x-y)^3)^2. Vyraz neopisujte, pouzij te kopirovani." }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 6 "Ukol 2" }} {EXCHG {PARA 0 "" 0 "" {TEXT -1 35 "Projdete nasledujici serii prikazu ." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "(x^3-y^3)/(x^2+x-y-y^2 );\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "normal((x^3-y^3)/(x ^2+x-y-y^2));\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "convert( %,parfrac, x);\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 39 "Predchazejici postup 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,F(F(*&\"#6F(* $F&F'F(F)*&\"#8F(F&F(F(\"\"&F)F)" }{TEXT -1 1 "." }}}}{SECT 1 {PARA 259 "" 0 "" {TEXT -1 6 "Ukol 3" }{TEXT 262 0 "" }}{PARA 0 "" 0 "" {TEXT -1 7 "Urcete " }{XPPEDIT 18 0 "Int(x^2*sin(x),x);" "6#-%$IntG6$* &%\"xG\"\"#-%$sinG6#F'\"\"\"F'" }{TEXT -1 1 "." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 126 "Najdete dve skupiny Netnews, ktere se zabyvaji prog ramem Maple. Uvedte jejich nazvy a nektery z prispevku prilozte k odpo vedi." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 111 "Najdete alespon tri ces ke webove stranky, venovane systemu Maple (ne z domeny math.muni.cz). \+ Uvedte jejich URL." }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 21 "Ukazky mo znosti Maplu" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 31 "Reseni rovnic a sy stemu rovnic." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 46 "x^3-1/2*x^ 2*a+13/3*x^2-13/6*x*a-10/3*x+5/3*a;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,.*$)%\"xG\"\"$\"\"\"F(*&#F(\"\"#F(*&)F&F+F(%\"aGF(F(!\"\"*&#\"#8F' F(*$F-F(F(F(*&#F2\"\"'F(*&F&F(F.F(F(F/*&#\"#5F'F(F&F(F/*&#\"\"&F'F(F.F (F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "solve(%,x);\n" }} {PARA 11 "" 1 "" {XPPMATH 20 "6%#\"\"#\"\"$!\"&,$*&F$!\"\"%\"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 "eqn 4 := 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 41 "s1 := solve(\{eqn||(1..5)\}, \{x,y,z,t,u\});\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#s1G<'/%\"tG!#6/%\"zG!\"\"/%\"yG\"\"$/%\"xG\"\"#/%\"u G\"#;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "s2 := solve(\{eqn| |(1..4)\}, \{x,y,z,t,u\});\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#s2G <'/%\"zG,&#\"$P$\"\"%\"\"\"*(\"#JF,F+!\"\"%\"tGF,F,/%\"yG,&#\"$:\"\"\" #F/*(\"#6F,F6F/F0F,F//%\"uG,&#\"#zF+F/*(\"#8F,F+F/F0F,F//%\"xGF6/F0F0 " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "subs(s2,\{eqn||(1..4)\} );\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<&/\"#?F%/\"\"*F'/\"#TF)/\"$D \"F+" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "subs(s1,\{eqn||(1.. 5)\});\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#<'/\"#?F%/\"#6F'/\"\"*F)/ \"#TF+/\"$D\"F-" }}}{EXCHG {PARA 260 "" 0 "" {TEXT -1 8 "Calculus" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 40 "f := (x^2-2*x+1)/(x^4+3*x^3- 7*x^2+x+2);\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "limit(f, x =1);\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "f := (2*x+3)/(7*x +5);\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "limit(f, x=infini ty);\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "f := x*sin(x)+2*x ^2;\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "diff(f,x);\n" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10 "int(%,x);\n" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 30 "Reseni diferencialnich rovnic." }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "dsolve(diff(y(x),x)-y(x)=0, \+ y(x));\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/-%\"yG6#%\"xG*&%$_C1G\"\" \"-%$expGF&F*" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 19 "Operace s matice mi." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "with(linalg):\n" }} {PARA 7 "" 1 "" {TEXT -1 80 "Warning, the protected names norm and tra ce have been redefined and unprotected\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "M := array(1..2, 1..2);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"MG-%&arrayG6%;\"\"\"\"\"#F(7\"" }}}{EXCHG {PARA 0 " > " 0 "" {MPLTEXT 1 0 8 "det(M);\n" }}{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 15 "H:=hilbert(5);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"HGK%'matrixG6#7'7'\"\"\"#F*\"\"##F*\"\"$ #F*\"\"%#F*\"\"&7'F+F-F/F1#F*\"\"'7'F-F/F1F4#F*\"\"(7'F/F1F4F7#F*\"\") 7'F1F4F7F:#F*\"\"*Q(pprint06\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "HI:=inverse(H);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#HIGK%' matrixG6#7'7'\"#D!$+$\"%]5!%+9\"$I'7'F+\"%+[!&+*=\"&!)o#!&+E\"7'F,F1\" &!Qz!'+w6\"&+n&7'F-F2F6\"'+#z\"!&+#))7'F.F3F7F:\"&+T%Q(pprint16\"" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "multiply(H,HI);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#K%'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(Q(pprint26\"" }}}{EXCHG {PARA 261 "" 0 "" {TEXT -1 7 "Animace" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1849 " 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,lwing02,rwing02, head]:\n polygonplot3d( bird01, axes = boxed, labels = [x,y,z], scaling=constrained):\n polygo nplot3d(bird02, axes = boxed, labels = [x,y,z], scaling=constrained): \n morph3d:=proc(first,last,t)\n local 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,f irst))) + 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\n" }} {PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords has been r edefined\n" }}}{EXCHG {PARA 0 "> 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