means that the function is iterated times; e.g. . Therefore is the function iterated times (and applied to ):

.

We get exactly the same thing by iterating the function times:

,

and then iterating another times:

.

In other words iterating times is the same as iterating times, and then times. e.g

.

J.P.

]]>Yes, http://irishjip.wordpress.com/2012/02/03/ms3011-week-5/ is the best place to look at a motivation for the logistic equation.

Q. 1 on the sample test is the top of page 13.

J.P.

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