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{SECT 0 {EXCHG {PARA 269 "" 0 "" {TEXT 274 35 "Matematick\351 v\375po
\350ty se syst\351m Maple" }}}{EXCHG {PARA 270 "" 0 "" {TEXT -1 77 "au
tor:  Ing. Vladim\355r \216\341k\n  email:  zakyn@centrum.cz\n        \+
         web:   " }{URLLINK 17 "www.vladimirzak.com/maple" 4 "www.vlad
imirzak.com/maple" "" }}{PARA 269 "" 0 "" {TEXT -1 0 "" }}{PARA 269 "
" 0 "" {TEXT -1 12 "            " }{TEXT 272 9 "recenzent" }{TEXT -1 
3 ":  " }{TEXT 271 31 "Prof. RNDr. Ji\370\355 H\370eb\355\350ek, CSc.
" }}{PARA 269 "" 0 "" {TEXT -1 48 "CENTRUM BIOSTATISTIKY A ANAL\335Z (
CBA LF a P\370F MU)" }}{PARA 269 "" 0 "" {TEXT -1 43 "L\351ka\370sk
\341 a P\370\355rodov\354deck\341 fakulta MU v Brn\354" }}{PARA 269 "
" 0 "" {TEXT -1 20 "hrebicek@cba.muni.cz" }}{PARA 269 "" 0 "" {TEXT 
-1 0 "" }}}{EXCHG {PARA 269 "" 0 "" {TEXT -1 478 "Tento dokument je ur
\350en jen pro v\375ukov\351 \372\350ely a pro pou\236it\355 jen osoba
mi, kter\375m byl tento dokument poskytnut p\370\355mo autorem, pop
\370. si ho st\341hli z webov\351ho s\355dla autora. Jak\351koliv \350
\341sti dokumentu nen\355 mo\236n\351 pou\236\355t bez citace zdoje, t
edy n\341zvu dokumentu a jm\351na autora s kontaktn\355mi informacemi \+
(jak je zobrazeno v hlavi\350ce), kter\341 mus\355 b\375t autorovi sd
\354lena. Pro jin\351 pou\236it\355 ne\236 pro osobn\355 pot\370eby os
ob, tedy pro distribuci \350i kop\355rov\341n\355, je nutn\351 obdr
\236et p\355semn\375 souhlas autora. " }}{PARA 269 "" 0 "" {TEXT -1 0 
"" }}{PARA 269 "" 0 "" {TEXT -1 0 "" }{TEXT 273 59 "Soubor vznikl s po
dporou grantov\351ho projektu FRV\212 3323/2006" }{TEXT -1 0 "" }}}
{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 4 "" 0 "" {TEXT -1 17 "Aproximac
e funkce" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 73 "P\370\355kazy, pomoc
\355 kter\375ch se v syst\351mu Maple po\350\355t\341 Taylor\371v rozv
oj funkce " }{TEXT 256 1 "f" }{TEXT -1 14 " v okol\355 bodu " }{OLE 1 
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{TEXT -1 13 " , maj\355 tvar " }}{PARA 257 "" 0 "" {TEXT -1 20 "series
( f(x),x=x0,n)" }}{PARA 257 "" 0 "" {TEXT -1 20 "taylor( f(x),x=x0,n)
" }}{PARA 0 "" 0 "" {TEXT -1 13 "M\355sto funkce " }{TEXT 259 5 "f(x) \+
" }{TEXT -1 44 "m\371\236eme p\370\355mo uv\351st v\375raz pro v\375po
\350et hodnoty" }{TEXT 260 7 " f(x). " }{TEXT -1 7 "Stupe\362 " }
{TEXT 261 1 "n" }{TEXT -1 80 " je nepovinn\375m parametrem, kter\375 j
e implicitn\354 nastaven na hodnotu 6 v prom\354nn\351 " }{TEXT 258 5 
"Order" }{TEXT -1 13 " (analogie s " }{TEXT 257 6 "Digits" }{TEXT -1 
2 ")." }}{PARA 0 "" 0 "" {TEXT -1 149 "D\341le syst\351m Maple obsahuj
e p\370\355kaz pro potla\350en\355 zbytku, proto\236e jinak by ne\232l
o nap\370. vykreslit dan\375 rozvoj, pop\370. dosadit za prom\354nnou.
 Jde o p\370\355kaz " }{TEXT 262 25 "convert( taylor, polynom)" }
{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 76 "Pro sn\355\236en\355 stu
pn\354 Taylorova polynomu je v syst\351mu Maple k dispozici p\370\355k
az " }}{PARA 0 "" 0 "" {TEXT 266 25 "rem(taylor, (x-x0)^n, x) " }
{TEXT -1 3 "  ," }}{PARA 0 "" 0 "" {TEXT -1 45 "kter\375 odstran\355 v
\232echny \350leny po\350\355naje \350lenem " }{OLE 1 4613 1 "[xm]Br=W
foRrB:::wk;nyyI;G:;:j::>:B>N:F:nyyyyy]::yyyyyy::::::::::::::::::::::::
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::::::::::::::::::::=Z<B:<::::::::::=Jyyy;d:yayYZHQ:>:;`:Z@o<fc[_hb_ds
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Yyyy=Z:>:^=<jw?<IZ:>:sg:bu=b:?bBaTXaEWEUUB:OB:=K?AZ:B:J<pWCFq;yrq_:;B:
US:;J<<:[q:V:;B:;:::Ja@Na`>;B:N;:;B:=B:;JTTXCFQ:UKHJ;F];Q[;JryWC<J:>:S
B:GO^yWCfZ;:Z:rO:::JdRSZZ:W=bRl@H>:>:j\\jj:Y;Bw[j\\FHemj^HMmqnG;C:WD:=
=nHE]:>::::::;C:?jyyiy=J:<Z::::::JE>Z:n^;B:;B::::::::::::jysy:>:<:::::
::::::::::::::vYxI:;Z::::::::::::::::::::yay=J:B::::::::vbYGbJOXBweZ:R
KJ[ZJrJ@>YVKd<xb:B><NtGby?C[r==<y\\YgB@>B:=b:DJ;<:=j:j:^:dj:<j;r:;R:;b
:HRvNZ>:Z=r@V[;>:\\B;R:=B:;b<?ZbJ:TsNr:l;Qj:b:HRqJ:vYxI:::::::::::::::
::::::::::::::::::::::::::::::::::::::::::4:" }{TEXT -1 2 ". " }}
{PARA 0 "" 0 "" {TEXT -1 66 "Pro p\370\355m\375 v\375po\350et Taylorov
a aproxima\350n\355ho polynomu se u\236\355v\341 p\370\355kaz" }}
{PARA 0 "" 0 "" {TEXT 264 23 "mtaylor( f(x),x=x0,n)  " }{TEXT -1 3 " ,
 " }}{PARA 0 "" 0 "" {TEXT -1 83 "kter\375 se musel v p\370edchoz\355c
h verz\355ch syst\351mu Maple nahr\341t do pam\354ti pomoc\355 p\370
\355kazu " }{TEXT 263 16 "readlib(mtaylor)" }{TEXT -1 51 ". V\375znam \+
parametr\371 je shodn\375 s p\370edchoz\355mi p\370\355kazy." }}{PARA 
0 "" 0 "" {TEXT -1 99 "V p\370\355pad\354 aproximace funkce dvou \350i
 v\355ce prom\354nn\375ch se u\236\355vaj\355 tyto p\370\355kazy v n
\341sleduj\355c\355ch tvarech" }}{PARA 257 "" 0 "" {TEXT -1 31 "series
( f(x,y), \{x=x0,y=y0\} ,n)" }}{PARA 257 "" 0 "" {TEXT -1 30 "taylor( \+
f(x,y), \{x=x0,y=y0\},n)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }{TEXT 265 
31 "mtaylor( f(x,y), \{x=x0,y=y0\} n)" }{TEXT -1 0 "" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 24 "t1:=series(cos(x),x=Pi);" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>%#t1G++,&%\"xG\"\"\"%#PiG!\"\"F*\"\"!#F(\"\"#F-#F
*\"#C\"\"%-%\"OG6#F(\"\"'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
114 "Order;                       # ud\341v\341 stupe\362  \nDigits;  \+
                    # ud\341v\341 po\350et platn\375ch desetinn\375ch \+
m\355st" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"'" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#\"#5" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "t2:=
taylor(sin(x),x=0,10);   # zm\354na stupn\354 aproximace" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%#t2G+/%\"xG\"\"\"F'#!\"\"\"\"'\"\"$#F'\"$?\"\"
\"&#F)\"%S]\"\"(#F'\"'!)GO\"\"*-%\"OG6#F'\"#5" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 67 "plot(t2(x),x=-5..5);         # Maple neum\355 vy
kreslit kv\371li zbytku O" }}{PARA 8 "" 1 "" {TEXT -1 26 "Plotting err
or, empty plot" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 48 "t3:=conve
rt(t2,polynom);     # odstran\354n\355 zbytku" }}{PARA 11 "" 1 "" 
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