Proverbs, aphorisms, quotations (English) | by Linux fortune |
QED. | |
Quod erat demonstrandum. [Thus it is proven. For those who wondered WTF QED means.] | |
(1) A sheet of paper is an ink-lined plane. (2) An inclined plane is a slope up. (3) A slow pup is a lazy dog. QED: A sheet of paper is a lazy dog. -- Willard Espy, "An Almanac of Words at Play" | |
Actually, the probability is 100% that the elevator will be going in the right direction. Proof by induction: N=1. Trivially true, since both you and the elevator only have one floor to go to. Assume true for N, prove for N+1: If you are on any of the first N floors, then it is true by the induction hypothesis. If you are on the N+1st floor, then both you and the elevator have only one choice, namely down. Therefore, it is true for all N+1 floors. QED. | |
Once upon a time, when I was training to be a mathematician, a group of us bright young students taking number theory discovered the names of the smaller prime numbers. 2: The Odd Prime -- It's the only even prime, therefore is odd. QED. 3: The True Prime -- Lewis Carroll: "If I tell you 3 times, it's true." 31: The Arbitrary Prime -- Determined by unanimous unvote. We needed an arbitrary prime in case the prof asked for one, and so had an election. 91 received the most votes (well, it *looks* prime) and 3+4i the next most. However, 31 was the only candidate to receive none at all. 41: The Female Prime -- The polynomial X**2 - X + 41 is prime for integer values from 1 to 40. 43: The Male Prime - they form a prime pair. Since the composite numbers are formed from primes, their qualities are derived from those primes. So, for instance, the number 6 is "odd but true", while the powers of 2 are all extremely odd numbers. | |
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?") | |
"Now it is such a bizarrely improbable coincidence that anything so mindboggingly useful could have evolved purely by chance that some thinkers have chosen to see it as the final and clinching proof of the non-existence of God. "The argument goes something like this: `I refuse to prove that I exist,' says God, `for proof denies faith, and without faith I am nothing.' "`But,' says Man, `The Babel fish is a dead giveaway, isn't it? It could not have evolved by chance. It proves you exist, and so therefore, by your own arguments, you don't. QED.' |