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{SECT 0 {PARA 18 "" 0 "" {TEXT -1 41 "Maple 1. Pouzivani zapisniku (wo
rksheets)" }}{SECT 0 {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 0 {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$$!\"$
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\"\"$F*$\"38s')f!3+7T\"F--%'COLOURG6&%$RGBG$\"#5!\"\"$F*F*F_]l-%+AXESL
ABELSG6$Q\"x6\"Q!Fd]l-%%VIEWG6$;F(Fd\\l%(DEFAULTG" 1 2 0 1 10 0 2 9 1 
4 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG {PARA 0 "" 
0 "" {TEXT -1 109 "Odeslani vstupu jadru ke zpracovani se provede umis
tenim kurzoru na radek se vstupem a stiskem klavesy ENTER." }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 40 "Maple muze byt pouzit i jako kalkulator:
" }}{PARA 0 "" 0 "" {TEXT -1 80 "Scitani +, odcitani-, nasobeni*, dele
ni/, umocnovani ^ a druha odmocnina sqrt()." }}}{EXCHG {PARA 0 "" 0 "
" {TEXT -1 149 "VSIMNETE SI: vstup musi byt ukoncen strednikem (v tomt
o ptipade se vystup vypisuje na obrazovku) nebo dvojteckou (vystup se \+
na obrazovku nevypisuje)." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 
"32*12^4;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"'_Nm" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "20!-12!;\n" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#\"4+%Qwp2?!HV#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 192 
"Na vysledek predchazejiciho prikazu se muzeme odvolat pomoci %, na da
lsi pomoci %% a na treti odazdu pomoci %%%. Napriklad vysledek predcha
zejiciho vypoctu chceme rozlozit na soucin prvocisel." }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 12 "ifactor(%);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*.)-%!G6#\"\"#
\"#5\"\"\")-F&6#\"\"$\"\"&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 258 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" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#^$\"\"\"\"#Z" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 130 "POZOR! % odkazuje na vystup predchazejiciho provedeneho \+
(predaneho jadru ke zpracovani) prikazu, ne prikazu zapsaneho v zapisn
iku!" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 17 "Editace zapisniku" }}
{EXCHG {PARA 0 "" 0 "" {TEXT 259 19 "Kopirovani a presun" }}{PARA 0 "
" 0 "" {TEXT -1 47 "Vyzkousejte editaci na nasledujicich prikazech:" }
}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 67 "Maple je
 mozno pouzivat i jako symbolicky a algebraicky kalkulator." }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "(x+y)^3*(x-y)^2;\n" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#*&),&%\"xG\"\"\"%\"yGF'\"\"$F'),&F&F'F(!\"\"
\"\"#F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "%^3;\n" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#*&),&%\"xG\"\"\"%\"yGF'\"\"*F'),&F&F'F(!\"\"
\"\"'F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "expand(%);\n" }}
{PARA 12 "" 1 "" {XPPMATH 20 "6#,B*$)%\"xG\"#:\"\"\"F(*(\"\"$F()F&\"#9
F(%\"yGF(F(*(F*F()F&\"#8F()F-\"\"#F(!\"\"*(\"#<F()F&\"#7F()F-F*F(F3*(F
*F()F&\"#6F()F-\"\"%F(F3*(\"#RF()F&\"#5F()F-\"\"&F(F(*(\"#DF()F&\"\"*F
()F-\"\"'F(F(*$)F-F'F(F(*(\"#XF()F&\"\")F()F-\"\"(F(F3*(FMF()F&FQF()F-
FOF(F3*(FEF()F&FIF()F-FGF(F(*(F?F()F&FCF()F-FAF(F(*(F*F()F&F=F()F-F;F(
F3*(F5F()F&F*F()F-F7F(F3*(F*F()F&F2F()F-F0F(F3*(F*F(F&F()F-F,F(F(" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "factor(%);\n" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#*&),&%\"xG\"\"\"%\"yGF'\"\"*F'),&F&F'F(!\"\"\"\"'F
'" }}}}{SECT 0 {PARA 3 "" 0 "" {TEXT -1 8 "Napoveda" }}{EXCHG {PARA 0 
"" 0 "" {TEXT -1 147 "Napoveda se zobrazuje v samostatnem okne, prikla
dy z napovedy mohou byt zkopirovany do zapisniku a provedeny. K napove
de se dostanu pres menu HELP." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 50 "
Druhy zpusob vyvolani napovedy je zadanim vstupu ?" }{TEXT 260 6 "prik
az" }{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 prikla
dy pouziti." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 6 "???int" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 121 "Pokud nezname presne jmeno prikaz
u, staci za ? zadat pouze cast prikazu a Maple nam nabidne vsechny odp
ovidajici prikazy." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 5 "?pl;\n
" }}}}{SECT 0 {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 (*.tx
t) - obycejny textovy soubor" }}{PARA 0 "" 0 "" {TEXT -1 71 "Maple tex
t (*.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 41 "HTML (*.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 0 {PARA 3 "" 0 "" 
{TEXT -1 5 "Ukoly" }}{PARA 0 "" 0 "" {TEXT -1 48 "Cely zapisnik exporu
jte do HTML a pridejte odkaz" }}{PARA 0 "" 0 "" {TEXT -1 45 "(Prezenta
ce v Maplu) na Vasi webovou stranku." }}{SECT 0 {PARA 258 "" 0 "" 
{TEXT -1 6 "Ukol 1" }{TEXT 256 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, pouzijte kopirovani." }}}}{SECT 0 {PARA 4 
"" 0 "" {TEXT -1 6 "Ukol 2" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 35 "Proj
dete nasledujici serii prikazu." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 25 "(x^3-y^3)/(x^2+x-y-y^2);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
*&,&*$)%\"xG\"\"$\"\"\"F)*$)%\"yGF(F)!\"\"F),**$)F'\"\"#F)F)F'F)F,F-*$
)F,F1F)F-F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "normal((x^3-
y^3)/(x^2+x-y-y^2));\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&,(*$)%\"xG
\"\"#\"\"\"F)*&F'F)%\"yGF)F)*$)F+F(F)F)F),(F'F)F)F)F+F)!\"\"" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "convert(%,parfrac, x);\n" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#,(%\"xG\"\"\"F%!\"\"*&,(%\"yGF%*$)F)\"
\"#F%F%F%F%F%,(F$F%F%F%F)F%F&F%" }}}{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(*$F&F'F(F)*&\"#8F(F&F(F(\"\"&F)F)" }{TEXT -1 1 "." }}}
}{SECT 0 {PARA 259 "" 0 "" {TEXT -1 6 "Ukol 3" }{TEXT 257 0 "" }}
{PARA 0 "" 0 "" {TEXT -1 7 "Urcete " }{XPPEDIT 18 0 "Int(x^2*sin(x),x)
;" "6#-%$IntG6$*&%\"xG\"\"#-%$sinG6#F'\"\"\"F'" }{TEXT -1 1 "." }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 59 "Najdete skupinu Netnews, ktere je \+
venovana programu Maple. " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 93 "Najd
ete alespon tri ceske webove stranky, venovane systemu Maple (ne z dom
eny math.muni.cz). " }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 71 "Priklady 1
-3 zkuste spocitat i pomoci programu Maxima (volitelny ukol)." }}}}
{SECT 0 {PARA 3 "" 0 "" {TEXT -1 21 "Ukazky moznosti Maplu" }}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 31 "Reseni rovnic a systemu 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 "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 41 "s1 := solve(\{
eqn||(1..5)\}, \{x,y,z,t,u\});\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%
#s1G<'/%\"tG!#6/%\"zG!\"\"/%\"yG\"\"$/%\"xG\"\"#/%\"uG\"#;" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "s2 := solve(\{eqn||(1..4)\}, \{x,y,
z,t,u\});\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#s2G<'/%\"xG\"\"#/%\"
zG,&#\"$P$\"\"%\"\"\"*(\"#JF/F.!\"\"%\"tGF/F//%\"yG,&#\"$:\"F(F2*(\"#6
F/F(F2F3F/F2/%\"uG,&#\"#zF.F2*(\"#8F/F.F2F3F/F2/F3F3" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 24 "subs(s2,\{eqn||(1..4)\});\n" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#<&/\"#TF%/\"#?F'/\"$D\"F)/\"\"*F+" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "subs(s1,\{eqn||(1..5)\});\n" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#<'/\"#TF%/\"#?F'/\"$D\"F)/\"\"*F+/\"#6
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
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG*&,(*$)%\"xG\"\"#\"\"\"F+*&F
*F+F)F+!\"\"F+F+F+,,*$)F)\"\"%F+F+*&\"\"$F+)F)F3F+F+*&\"\"(F+F(F+F-F)F
+F*F+F-" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "limit(f, x=1);\n
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##\"\"\"\"\")" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 22 "f := (2*x+3)/(7*x+5);\n" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"fG*&,&*&\"\"#\"\"\"%\"xGF)F)\"\"$F)F),&*&\"\"(F)F*F
)F)\"\"&F)!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "limit(f,
 x=infinity);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##\"\"#\"\"(" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "f := x*sin(x)+2*x^2;\n" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"fG,&*&%\"xG\"\"\"-%$sinG6#F'F(F(*&
\"\"#F()F'F-F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "diff(f,
x);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(-%$sinG6#%\"xG\"\"\"*&F'F(-
%$cosGF&F(F(*&\"\"%F(F'F(F(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
10 "int(%,x);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*&%\"xG\"\"\"-%$s
inG6#F%F&F&*&\"\"#F&)F%F+F&F&" }}}{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 maticemi." }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 14 "with(linalg):\n" }}{PARA 7 "" 1 "" {TEXT -1 
80 "Warning, the protected names norm and trace have been redefined an
d unprotected\n" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "M := arr
ay(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*\"\"$#F*\"\"%#F*\"\"&7'F+F-F/F1#
F*\"\"'7'F-F/F1F4#F*\"\"(7'F/F1F4F7#F*\"\")7'F1F4F7F:#F*\"\"*Q(pprint0
6\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "HI:=inverse(H);\n" }
}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#HIGK%'matrixG6#7'7'\"#D!$+$\"%]5!%
+9\"$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 "Anima
ce" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1849 " restart:\n with(pl
ots):\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 polygonplot3d(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,first))) + t*op(2,op(j,op(k,las
t))),(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 "W
arning, the name changecoords has been redefined\n" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 242 " a:=seq(polygonplot3d([morph3d(bird01,bird
02,t/5)],\n scaling = constrained),t=0..5):\n b:=seq(polygonplot3d([mo
rph3d(bird02,bird01,t/5)],\n scaling = constrained),t=0..5):\n display
3d([a,b], insequence=true); #try this with the loop button on\n\n\n" }
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10 0 2 1 1 1 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }}}}{EXCHG 
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