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{SECT 0 {SECT 0 {PARA 3 "" 0 "" {TEXT -1 25 "Useful iteration commands
" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 31 "Start
 by entering your function" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "F := x -> sin(x);" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6#>%\"FG%$sinG" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "
" }}{PARA 0 "" 0 "" {TEXT -1 38 "To evaluate F at a point, just type  \+
 " }{TEXT 0 18 "F( <your value> );" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "F(0.2);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#$\"+3Lp')>!#5" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" 
}}{PARA 0 "" 0 "" {TEXT -1 12 "To evaluate " }{XPPEDIT 18 0 "`@@`(F,n)
(x[0]);" "6#--%#@@G6$%\"FG%\"nG6#&%\"xG6#\"\"!" }{TEXT -1 21 "  for so
me iteration " }{XPPEDIT 18 0 "n;" "6#%\"nG" }{TEXT -1 16 "  and some \+
seed " }{XPPEDIT 18 0 "x[0];" "6#&%\"xG6#\"\"!" }{TEXT -1 9 ",  type  \+
" }{TEXT 0 17 "(F@@n)( <seed> );" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "(F@@3)(0.2);" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#$\"+$zh3'>!#5" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 
20 "The number above is " }{XPPEDIT 18 0 "`@@`(F,3)(.2) = x[3];" "6#/-
-%#@@G6$%\"FG\"\"$6#-%&FloatG6$\"\"#!\"\"&%\"xG6#F)" }{TEXT -1 1 "." }
}}{SECT 0 {PARA 4 "" 0 "" {TEXT -1 19 "Iterative sequences" }}{PARA 0 
"" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 39 "Suppose you need \+
to print the sequence " }{XPPEDIT 18 0 "x[0];" "6#&%\"xG6#\"\"!" }
{TEXT -1 2 ", " }{XPPEDIT 18 0 "x[1];" "6#&%\"xG6#\"\"\"" }{TEXT -1 
15 ", ....  (Here, " }{XPPEDIT 18 0 "x[0];" "6#&%\"xG6#\"\"!" }{TEXT 
-1 25 " = 0.2 and I print up to " }{XPPEDIT 18 0 "x[10];" "6#&%\"xG6#
\"#5" }{TEXT -1 2 ".)" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 28 "seq( (F@@n)(0.2), n=0..10 );" }}{PARA 12 
"" 1 "" {XPPMATH 20 "6-$\"\"#!\"\"$\"+3Lp')>!#5$\"+4,lt>F($\"+$zh3'>F(
$\"+T,K[>F($\"+,t,O>F($\"+md%R#>F($\"+c$)47>F($\"+-#o/!>F($\"+C([!*)=F
($\"+?O$y(=F(" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 
"" {TEXT -1 41 "You don't have to start at 0...  Here is " }{XPPEDIT 
18 0 "x[100];" "6#&%\"xG6#\"$+\"" }{TEXT -1 9 " through " }{XPPEDIT 
18 0 "x[110];" "6#&%\"xG6#\"$5\"" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "seq( (F@@n)
(0.2), n=100..110 );" }}{PARA 12 "" 1 "" {XPPMATH 20 "6-$\"+$p'R28!#5$
\"+]`n.8F%$\"+wc)**H\"F%$\"+BsK'H\"F%$\"+`&*p#H\"F%$\"+OA5*G\"F%$\"+^[
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