Iterated function: Difference between revisions

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Rescuing 1 sources and tagging 0 as dead.) #IABot (v2.0.9.3
Wnbeser (talk | contribs)
m Not familiar with wikipedia markup and In a hurry so the solution is ugly in the markup, but more beautiful rendered :)
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<math display="block">f^{n+1} ~ \stackrel{\mathrm{def}}{=} ~ f \circ f^{n},</math>
 
where {{math|id<sub>''X''</sub>}} is the [[identity function]] on {{mvar|''X''}} and {{math|''f'' <math>\circ</math> ''g''}} denotes [[function composition]]. That is,
:{{math|(''f'' {{text| {{math| <math>\circ</math> }} }} ''g'')(''x'') {{=}} ''f'' (''g''(''x''))}},
always [[associative]].