Re: I actually DO feel like taking a course on number theory.
Isaac Send a noteboard - 25/05/2010 01:46:10 PM
In fact, my HS Honors Algebra teacher suggested it. He also baptized me, but that was about ten years later.
Unfortunately I'm a bit put off by the notation and nomenclature, and, though I could be mistaken, it requires at least a little of the calc knowledge I lack. And yet calc strikes me as some of the most interesting math because it's not just manipulating numbers, there's actual THOUGHT involved.
Unfortunately I'm a bit put off by the notation and nomenclature, and, though I could be mistaken, it requires at least a little of the calc knowledge I lack. And yet calc strikes me as some of the most interesting math because it's not just manipulating numbers, there's actual THOUGHT involved.Well, there is a lot of number theory that doesn't involve calculus. Most really, at least of the introductory number theory, you hardly need calc to understand modular arithmetic, people do it regularly when looking at clocks. "Its 10, I'll see you in 4 hours at 2" is basic modular arithmetic, 10 + 4 = 2 (Mod 12)
Speaking of which, I get all you were saying here; I KNOW it's not a mystical magical miracle--but that tells me what it ISN'T, not what it is. Like I said, 2 isn't "spooky" because adding it to itself, or multiplying it, or even raising it to its own power give the same result, it's just that all those things are, in this particular case, the same operation: You're putting two things with two other things, and that means there's four of them, because that's just how counting works. My problem here is I'm UNABLE to explain 7 that way, and it bothers me. And the more I look at it, the freakier it gets, like with the (22/7)^2~10 thing. I mean, seriously, "if leading zeros are not permitted on numerals, then 142857 is the only cyclic number in decimal"?!!! What kind of twisted crap is that? 

Hmm... Cyclic decimals in the reciprocal of a number are neither common nor rare. When you're radix is only ten numbers, 0-9, there's not much of note there, it's like being surprised that out of a sample of ten items of fruit only one was red. There are a lot of red fruits, but a random sample of ten fruits could easily produce one and only one red. In this case 'red' is 'cyclic decimal', that's all.
The intuitive mind is a sacred gift and the rational mind is a faithful servant. We have created a society that honors the servant and has forgotten the gift.
- Albert Einstein
King of Cairhien 20-7-2
Chancellor of the Landsraad, Archduke of Is'Mod
- Albert Einstein
King of Cairhien 20-7-2
Chancellor of the Landsraad, Archduke of Is'Mod
Continuing the Math Theme, WTF Is Up with the Seven?
- 25/05/2010 02:12:09 AM
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- 25/05/2010 08:19:12 AM
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Number theory holds a concept called "cyclic numbers."
- 25/05/2010 06:04:43 AM
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"If leading zeros are not permitted on numerals, then 142857 is the only cyclic number in decimal. "
- 25/05/2010 06:27:36 AM
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- 25/05/2010 08:19:12 AM
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Happy Birthday...?
- 25/05/2010 08:56:59 AM
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- 25/05/2010 08:56:59 AM
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You're a day early
- 25/05/2010 09:10:30 AM
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- 25/05/2010 09:10:30 AM
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Got me on a technicality.
- 25/05/2010 09:19:54 AM
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Re: Got me on a technicality.
- 25/05/2010 09:27:59 AM
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But we're AWESOME!
- 25/05/2010 09:47:30 AM
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- 25/05/2010 09:50:43 AM
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- 25/05/2010 09:50:43 AM
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Number THEORY is great fun, but too many folks make math too tedious, I'm afraid.
- 25/05/2010 09:53:21 AM
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- 25/05/2010 09:53:21 AM
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You tend to get cyclic repeats when dividing by primes
- 25/05/2010 11:58:34 AM
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I actually DO feel like taking a course on number theory.
- 25/05/2010 12:12:10 PM
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Re: I actually DO feel like taking a course on number theory.
- 25/05/2010 01:46:10 PM
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Well, I'm not vouching for Wikipedias claim, just reiterating it.
- 25/05/2010 02:35:23 PM
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It's usually right but I wouldn't but much value on the implied importance
- 25/05/2010 04:22:52 PM
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If you say so; I really try hard not to channel Pythagoras.
- 26/05/2010 09:26:22 AM
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- 26/05/2010 09:26:22 AM
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Re: If you say so; I really try hard not to channel Pythagoras.
- 26/05/2010 10:00:37 AM
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- 26/05/2010 10:00:37 AM
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