Let the nth composition of a function f(x) be denoted
,such th
and
. Denote the composition of f and g by
, and define
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Let
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and
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Then if
(i.e.,
),
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where
and composition is done in terms of components.
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(1)
Let
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(2)
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(3)
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(4)
and
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(5)
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(6)
Then if
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(7)
where
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