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Old 2017-04-25, 14:12   #5
MattcAnderson's Avatar
"Matthew Anderson"
Dec 2010
Oregon, USA

5×11×13 Posts

Hi Mersenneforum,

With respect to exercise 94,

94. Show that every function from Z/3Z

to itself can be specified using a
polynomial of degree at most 2
(or the zero polynomial).

I want to clarify, when you write that we
want a function 'to itself' we can assume that
The domain and the range are the same set?

For example suppose f(0)=0, f(1) = 1 and f(2) = 1.
This would not meet the criterion for exercise 94,

I assume the domain is {0,1,2} and the range is the same.

I see '3 choose 2' or 6 cases that need to be considered for 94.

Thank you, Nick for taking the time to write this up and put it on the internet.

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Last fiddled with by MattcAnderson on 2017-04-25 at 14:17 Reason: not good ta TEK, I didn't count cases right.
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