MA-351 Homework 4
Tuesday, Nov 17, 16:59, in my mailbox in SAS 3151.
Solutions may be submitted in person in class,
or you may email an ASCII text,
Maple Worksheet (.mws),
html,
or postscipt/pdf-formatted document to me.
Note my office hours on my
schedule.
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What is the Alabama paradox? Please explain.
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Please consider the following variant to Fibonacci's rabbits' problem.
Each pair of rabbits takes two months to mature.
Once mature, the pair has 2 pairs or 1 pair of rabbits after every month
of gestation. Therefore, it takes a newly born pair 3 months
to produce offspring. The number of pairs is produced
alternatingly: first 2 pairs, then 1 pair then 2 pairs, then 1 pair, etc.
An additional twist is that if 2 pairs are born, one of the pairs
only lives 3 months, and dies after the first litter of 2 pairs.
The other pair lives indefinitely, like the initial baby pair.
Please give a L-system [note the correct spelling:
Aristid Lindenmayer, J. Theoret. Biol., vol. 18, 1968, pp. 280-315]
that models the rabbit population and show the first 7 generations of applying your rules.
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DMM §3.6, Problem 13, page 168.
Note that your coloring also needs to include the
country "11" surrounding countries 1-10.