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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 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?")
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Linux Science: 377 of 622 |
... proper attention to Earthly needs of the poor, the depressed and the
downtrodden, would naturally evolve from dynamic, articulate, spirited
awareness of the great goals for Man and the society he conspired to erect.
-- David Baker, paraphrasing Harold Urey, in
"The History of Manned Space Flight"
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Linux Science: 378 of 622 |
Prototype designs always work.
-- Don Vonada
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Linux Science: 379 of 622 |
"Protozoa are small, and bacteria are small, but viruses are smaller
than the both put together."
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Linux Science: 380 of 622 |
Psychologists think they're experimental psychologists.
Experimental psychologists think they're biologists.
Biologists think they're biochemists.
Biochemists think they're chemists.
Chemists think they're physical chemists.
Physical chemists think they're physicists.
Physicists think they're theoretical physicists.
Theoretical physicists think they're mathematicians.
Mathematicians think they're metamathematicians.
Metamathematicians think they're philosophers.
Philosophers think they're gods.
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Linux Science: 381 of 622 |
Quantum Mechanics is a lovely introduction to Hilbert Spaces!
-- Overheard at last year's Archimedeans' Garden Party
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Linux Science: 382 of 622 |
Quantum Mechanics is God's version of "Trust me."
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Linux Science: 383 of 622 |
Quark! Quark! Beware the quantum duck!
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Linux Science: 384 of 622 |
Radioactive cats have 18 half-lives.
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Linux Science: 385 of 622 |
Reality must take precedence over public relations, for Mother Nature
cannot be fooled.
-- R.P. Feynman
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