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{SECT 0 {PARA 18 "" 0 "" {TEXT -1 21 "Ciselne obory v Maplu" }}{SECT 
1 {PARA 3 "" 0 "" {TEXT -1 10 "Cela cisla" }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 3 "1;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"\"" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "whattype(%);\n" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#%(integerG" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 8 "?surface" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "
4^(4^4);\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#\"ft'4%31!\\OVY*pl%>\"G)
Qv`30'['=e=.!pFM!p;)Hu=!o(pat+.k<sV9cBxP$R#f?eOzu7Ye?)*\\-u&*4(fU*Hz!y
S8" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 86 "Maple pouziva backslash k t
omu, aby ukazal, ze vystup pokracuje na nasledujicim radku." }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "length(%);\n" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#\"$b\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
12 "123\\456\\789;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"**ycM7" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 83 "Maximalni cele cislo, s kterym je \+
Maple schopen pracovat (na 32-bitovych systemech)" }}{PARA 0 "" 0 "" 
{TEXT -1 3 "ma " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "kernelop
ts(maxdigits);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"*[aVo#" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 16 "platnych cislic." }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 8 "2^28-8;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"*[
aVo#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "4*((2^26-1)-1);\n" 
}}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"*[aVo#" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 21 "123456789^987654321;\n" }}{PARA 8 "" 1 "" {TEXT -1 
35 "Error, numeric exception: overflow\n" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 71 "Pro cisla mensi nez 2^30 Maple nevyuziva dynamickeho dato
veho vektoru. " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "number:=1
0^29-10^14-1;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'numberG\">******
********)**************" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 35 "Proced
ury pro praci s celymi cisly:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 12 "isprime(%);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%&falseG" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 40 "Overuje, zda zadane cislo je prvoc
islem." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "ifactor(number);
\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*,-%!G6#\"#h\"\"\"-F%6#\"$B#F(-F
%6#\"/\\DDo2m(*F(-F%6#\"),n;8F(-F%6#\"%<dF(" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 20 "time(ifactor(3!!!));" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#$\"#E!\"$" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 21 "Rozklad na prv
ocisla." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "nextprime(number
);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\">d,+++++***************" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 33 "Urcuje nejblizsi vetsi prvocislo.
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "prevprime(number);\n" }
}{PARA 11 "" 1 "" {XPPMATH 20 "6#\">\")************)**************" }}
}{EXCHG {PARA 0 "" 0 "" {TEXT -1 26 "Nejblizsi mensi prvocislo." }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "ithprime(9);\n" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#\"#B" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 21 "Vra
ci i-te prvocislo." }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }{MPLTEXT 
1 0 15 "a:=1234: b:=56:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "
q:=iquo(a,b);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"qG\"#A" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 19 "Celociselne deleni." }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "r:=irem(a,b);\n" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%\"rG\"\"#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 30 "Z
bytek po celocislenem deleni." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 9 "a=q*b+r;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#/\"%M7F$" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "testeq(a=q*b+r);\n" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#%%trueG" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 
20 "Kontrola spravnosti." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 
"igcd(a,b);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"#" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 39 "Nejvetsi spolecny delitel celych cisel." 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "lcm(21,35,99);\n" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#\"%lM" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 44 "Nejmensi spolecny nasobek cisel 21, 35 a 99." }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "abs(-3);\n" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#\"\"$" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 25 "Urceni ab
solutni hodnoty." }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 3 
"" 0 "" {TEXT -1 17 "Racionalni cisla." }}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 90 "Maple automaticky odstranuje (krati) nejvetsiho spolecneh
o delitele citatele a jmenovatele" }}{PARA 0 "" 0 "" {TEXT -1 39 "a po
zaduje, aby byl jmenovatel kladny. " }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 5 "4/6;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6##\"\"#\"\"$
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "whattype(%);\n" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#%)fractionG" }}}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "-3/-6;\n" }}{PARA 
8 "" 1 "" {TEXT -1 22 "Error, `-` unexpected\n" }}}}{SECT 1 {PARA 3 "
" 0 "" {TEXT -1 56 "Cisla s pohyblivou desetinou carkou a irracionalni
 cisla" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 66 "Maple neprovadi automati
cky zjednoduseni. Upravu je nutno vyzadat." }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 10 "25^(1/6);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*$)
\"#D#\"\"\"\"\"'F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "simpl
ify(%);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*$)\"\"&#\"\"\"\"\"$F'" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "evalf(%%);\n" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#$\"+Zf(*4<!\"*" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 23 "convert(%%%, `float`);\n" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#$\"+Zf(*4<!\"*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 13 "whattype(%);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#%&floatG" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 37 "Zapis cisla 0,000001 ruznymi zpuso
by:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "0.1*10^(-5);\n" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+++++5!#:" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 6 "1E-6;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"\"
\"!\"'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "Float(1,-6);\n" }
}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"\"\"!\"'" }}}{EXCHG {PARA 0 "" 0 "
" {TEXT -1 31 "Cislo = mantisa * 10^(exponent)" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 29 "printf(\"%.6f\", Float(1,-6));\n" }}{PARA 6 "
" 1 "" {TEXT -1 8 "0.000001" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
16 "evalf(sqrt(2));\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"+iN@99!\"*
" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 49 "Presnost aproximace je urcova
no promennou Digits." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "Digi
ts;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"#5" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 12 "Digits:=20;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6
#>%'DigitsG\"#?" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "evalf(sq
rt(2));\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"5)[]4tBc8UT\"!#>" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "evalf[150](Pi);" }}{PARA 12 
"" 1 "" {XPPMATH 20 "6#$\"at83%f`sJAe]&4Y%Q4ZmI#G8l3[@)z1<@MD[.G')**3i
G1k\"yI#fW\\(4#e5v$*Rpr>%)G]zKQVEYQKz*e`EfTJ!$\\\"" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 16 "evalf(Pi, 150);\n" }}{PARA 12 "" 1 "" 
{XPPMATH 20 "6#$\"at83%f`sJAe]&4Y%Q4ZmI#G8l3[@)z1<@MD[.G')**3iG1k\"yI#
fW\\(4#e5v$*Rpr>%)G]zKQVEYQKz*e`EfTJ!$\\\"" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 30 "interface(displayprecision=6):" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 14 "evalf(Pi,150);" }}{PARA 12 "" 1 "" {XPPMATH 
20 "6#$\"at83%f`sJAe]&4Y%Q4ZmI#G8l3[@)z1<@MD[.G')**3iG1k\"yI#fW\\(4#e5
v$*Rpr>%)G]zKQVEYQKz*e`EfTJ!$\\\"" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 31 "interface(displayprecision=-1):" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 11 "?constants;" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 10 "constants;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6)%&false
G%&gammaG%)infinityG%%trueG%(CatalanG%%FAILG%#PiG" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 9 "Pi:=3.14;" }}{PARA 8 "" 1 "" {TEXT -1 55 "Err
or, attempting to assign to `Pi` which is protected\n" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 9 "?inifcns;" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 13 "protect('e');" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 16 "macro(e=exp(1)):" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 6 "ln(e);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"\"" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "3/2*5;\n" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6##\"#:\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 9 
"3/2*5.0;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"5+++++++++v!#>" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 
-1 120 "Jakmile zadame nejake cislo v pohyblive desetinne carce, Maple
 pri vypoctu automaticky pouzije aproximativni aritmetiku." }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "ceil(7.5);\n" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#\"\")" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "flo
or(7.5);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"(" }}}{EXCHG {PARA 
0 "" 0 "" {TEXT -1 116 "ceil(x) urci nejmensi cele cislo vetsi nebo ro
vne x, floor(x) nejvetsi cele cislo mensi nebo rovne x (pro realna x).
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "round(7.4);round(7.6);r
ound(7.5);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"(" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#\"\")" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\")" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "trunc(7.4);trunc(-7.4);\n" 
}}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"(" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#!\"(" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "frac(7.5);\n
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#$\"\"&!\"\"" }}}{EXCHG {PARA 0 "" 
0 "" {TEXT -1 62 "frac(x) vraci desetinnou cast cisla x, tj. frac(x)=x
-trunc(x)." }}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 23 "Pocitani s odmocn
inami." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "(1/2+1/2*sqrt(5))^
2;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*$),&#\"\"\"\"\"#F'*&F(!\"\"\"
\"&F&F'F(F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 11 "expand(%);\n
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&#\"\"$\"\"#\"\"\"*&F&!\"\"\"\"&#
F'F&F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 4 "1/%;" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#*&\"\"\"F$,&#\"\"$\"\"#F$*&F(!\"\"\"\"&#F$F(F$F*
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "simplify(%);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#,$*&\"\"#\"\"\",&\"\"$F&*$\"\"&#F&F%F&!\"\"F
&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "rationalize(%);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#,&#\"\"$\"\"#\"\"\"*&F&!\"\"\"\"&#F'F&
F)" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "(-1-3*Pi-3*Pi^2-Pi^3)
^(1/3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*$),*\"\"\"!\"\"*&\"\"$F&%#
PiGF&F'*&F)F&)F*\"\"#F&F'*$)F*F)F&F'#F&F)F&" }}}{EXCHG {PARA 0 "> " 0 
"" {MPLTEXT 1 0 12 "simplify(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$
*(\"\"#!\"\",&%#PiG\"\"\"F)F)F),&F)F)*&\"\"$#F)F%^#F)F)F)F)F)" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 18 "convert(%%, surd);" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#,$*$),*\"\"\"F'*&\"\"$F'%#PiGF'F'*&F)F')F*\"
\"#F'F'*$)F*F)F'F'#F'F)F'!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 12 "simplify(%);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&%#PiG!\"\"\"
\"\"F%" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "(4+2*3^(1/2))^(1/
2);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#*$,&\"\"%\"\"\"*&\"\"#F&\"\"$
#F&F(F&F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "simplify(%);\n
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&*$\"\"$#\"\"\"\"\"#F'F'F'" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "sqrt(25+5*sqrt(5))-sqrt(5+sq
rt(5))-2*sqrt(5-sqrt(5));\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,(*$,&
\"#D\"\"\"*&\"\"&F'F)#F'\"\"#F'F*F'*$,&F)F'*$F)F*F'F*!\"\"*&F+F',&F)F'
F.F/F*F/" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "simplify(%);\n
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"!" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 14 "radnormal(%);\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
\"\"!" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "1/(1+sqrt(2));\n" 
}}{PARA 11 "" 1 "" {XPPMATH 20 "6#*&\"\"\"F$,&F$F$*$\"\"##F$F'F$!\"\"
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 13 "simplify(%);\n" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#*&\"\"\"F$,&F$F$*$\"\"##F$F'F$!\"\"" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "radnormal(%, rationalized)
;\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&\"\"\"!\"\"*$\"\"##F$F'F$" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 
"" 0 "" {TEXT -1 18 "Algebraicka cisla:" }}{PARA 0 "" 0 "" {TEXT -1 
54 "Koreny ireducibilnich polynomu nad racionalnimi cisly." }}{PARA 0 
"" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 79 "Vnitrni reprezent
ace algebraickych cisel pomoci procedury RootOf, napr. sqrt(2)" }}
{PARA 0 "" 0 "" {TEXT -1 40 "je reprezentovana nasledujicim zpusobem:
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 24 "alpha:=RootOf(z^2-2,z);
\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&alphaG-%'RootOfG6#,&*$)%#_ZG
\"\"#\"\"\"F-F,!\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 62 "Prevod na
 tvar \"odmocniny\" provadime pomoci procedury convert." }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "convert(alpha, 'radical');\n" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#*$\"\"##\"\"\"F$" }}}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 99 "Protoze alpha muze byt bud sqrt(2) nebo -sqrt(2), \+
vsechny hodnoty ziskame pomoci prikazu allvalues:" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 18 "allvalues(alpha);\n" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6$*$\"\"##\"\"\"F$,$F#!\"\"" }}}{EXCHG {PARA 0 "" 0 "" 
{TEXT -1 14 "Zpetny prevod:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
28 "convert(sqrt(2), 'RootOf');\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#-
%'RootOfG6$,&*$)%#_ZG\"\"#\"\"\"F+F*!\"\"/%&indexGF+" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 19 "simplify(alpha^2);\n" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#\"\"#" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "sim
plify(1/(1+alpha));\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&-%'RootOfG6
#,&*$)%#_ZG\"\"#\"\"\"F,F+!\"\"F,F,F-" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 28 "alias(beta=RootOf(z^2-2,z)):" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 36 "1/(1+beta)+1/(beta-1); simplify(%);\n" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#,&*&\"\"\"F%,&F%F%%%betaGF%!\"\"F%*&F%F%,&F'
F%F%F(F(F%" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,$*&\"\"#\"\"\"%%betaGF&
F&" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "convert((-8)^(1/3), '
RootOf');\n" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#,&\"\"\"F$-%'RootOfG6$,
&*$)%#_ZG\"\"#F$F$\"\"$F$/%&indexGF$F$" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 28 "convert(sqrt(3), 'RootOf');\n" }}{PARA 11 "" 1 "" 
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