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Proof techniques #1: Proof by Induction. This technique...
Proof techniques #1: Proof by Induction.
This technique is used on equations with "_n" in them. Induction
techniques are very popular, even the military used 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 because it's just
about _n.
QED. (QED translates from the Latin as "So what?")
