BrainDen.com - Brain Teasers

# EventHorizon

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1. EventHorizon's post in n^5 has the same last digit as n was marked as the answer
Proof 1: Modulus 10
Proof 2: Modulus 5
I have a third proof idea... I'll see if I can flush it out later.
Are you a math professor/researcher?  If not, where do you find / get inspiration for these?
2. EventHorizon's post in One last functional equation was marked as the answer
Alternatively,

3. EventHorizon's post in Another Functional Equation was marked as the answer
4. EventHorizon's post in Solving a system of functional equations was marked as the answer
5. EventHorizon's post in Diameters was marked as the answer
6. EventHorizon's post in The Maiden and the Ogre was marked as the answer
7. EventHorizon's post in Trains that pass in the night was marked as the answer
8. EventHorizon's post in Probability 101 was marked as the answer
9. EventHorizon's post in Alphametic was marked as the answer
10. EventHorizon's post in November Quickie II was marked as the answer
11. EventHorizon's post in Complex form was marked as the answer
12. EventHorizon's post in Miscellaneous logic puzzle from exam was marked as the answer
I looked at that for a while.  Though it's not much, here's what I got...

13. EventHorizon's post in Help Bob find Alice's P(x)\$%^ was marked as the answer
Alice is so kinky...

14. EventHorizon's post in Interesting one - A Cat and A mouse was marked as the answer
(Hint: don't look for the curve, just examine the distance between them and how it changes with time)

I'll try (again) to find the equation for the path in a bit.
Edit: I thought I'd include the last equation I got, but kept failing to verify. So I don't know it if is correct.

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