Proof Techniques #1: Proof By Induction. This Technique Is Used On Equations With 'n' In Them.

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Proof techniques #1: Proof by Induction.

This technique is used on equations with 'n' in them. Induction
techniques are very popular, even the military use them.

SAMPLE: Proof of induction without proof of induction.

We know it's true for n equal to 1. Now assume that it's true
for every natural number less than n. N is arbitrary, so we can take n
as large as we want. If n is sufficiently large, the case of n+1 is
trivially equivalent, so the only important n are n less than n. We can
take n = n (from above), so it's true for n+1 becuase it's just about n.
QED. (QED translates from the Latin as "So what?")

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