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?")
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?")
Related:
- Proof techniques #1: Proof by Induction.
This technique is used on equations with n in them.
Induction techniques are very popular, even the military... - Proof techniques #1: Proof by Induction.
This technique is used on equations with 'n' in them.
Induction techniques are very popular, even the military... - Actually, the probability is 100% that the elevator
will be going in the right direction.
Proof by induction: N=1. Trivialy true, since... - 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... - How many
roads must a man walk down before he finds a
damn good pub?
Let us define n to be the number of roads a man must... - Lemma: All horses are the same color.
Proof (by induction):
Case n = 1: In a set with only one horse, it is obvious... - N: /N/ quant. 1. A large and indeterminate number of objects:
"There were N bugs in that crock!" Also used in its...
From the same category:
- My BBS is baroque now.
Please call Bach later with your Handel... - Resorting to lawyers is proof of failure.
--
Solomon... - It works better when you turn the
brightness up... - The Clinton Administration:
Home of the Whopper... - My neighbor has a circular driveway ... he can't get out.
Steven...
