Equal positive integers.
Navigation: Home > Science Jokes > Content

Equal positive integers


Theorem: All positive integers are equal.

Proof: Sufficient to show that for any two positive integers, A and B, A = B.

Further, it is sufficient to show that for all N > 0, if A and B (positive integers) satisfy (MAX(A, B) = N) then A = B.

Proceed by induction.

If N = 1, then A and B, being positive integers, must both be 1. So A = B.

Assume that the theorem is true for some value k. Take A and B with MAX(A, B) = k+1. Then MAX((A-1), (B-1)) = k. And hence (A-1) = (B-1). Consequently, A = B.

[Tag]:Equal positive integers
[Time]:5/9/2010
[Friends]: 1. Google 2. Yahoo 3. China Tour 4. Free Games 5. iPhone Wallpapers 6. Free Auto Classifieds 7. Kmcoop Reviews 8. Funny Jokes 9. TuoBoo 10. Auto Classifieds 11. Dressup Games 12. HTC Desire Hd A9191 Review | More...