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big-Theta notation
1. Show that big-Theta notation (Θ) defines an equivalence relation on the set of functions.
2. Give the best lower bound that you can for the following code fragment, as a function of the initial value of n.
while (n > 1)
if (ODD(n))
n = 3 * n + 1;
else
n = n / 2;
Do you think that the upper bound is likely to be the same as the answer you gave for the lower bound?
many manufacturing problems involve the matching of machine parts such as shafts that fit into a valve hole.nbsp a
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