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
703 Views
- 25/05/2010 08:19:12 AM
528 Views
Number theory holds a concept called "cyclic numbers."
- 25/05/2010 06:04:43 AM
601 Views
"If leading zeros are not permitted on numerals, then 142857 is the only cyclic number in decimal. "
- 25/05/2010 06:27:36 AM
602 Views
- 25/05/2010 08:19:12 AM
528 Views
Happy Birthday...?
- 25/05/2010 08:56:59 AM
465 Views
- 25/05/2010 08:56:59 AM
465 Views
You're a day early
- 25/05/2010 09:10:30 AM
483 Views
- 25/05/2010 09:10:30 AM
483 Views
Got me on a technicality.
- 25/05/2010 09:19:54 AM
394 Views
Re: Got me on a technicality.
- 25/05/2010 09:27:59 AM
421 Views
But we're AWESOME!
- 25/05/2010 09:47:30 AM
527 Views
- 25/05/2010 09:50:43 AM
413 Views
- 25/05/2010 09:50:43 AM
413 Views
Number THEORY is great fun, but too many folks make math too tedious, I'm afraid.
- 25/05/2010 09:53:21 AM
436 Views
- 25/05/2010 09:53:21 AM
436 Views
You tend to get cyclic repeats when dividing by primes
- 25/05/2010 11:58:34 AM
639 Views
I actually DO feel like taking a course on number theory.
- 25/05/2010 12:12:10 PM
572 Views
Re: I actually DO feel like taking a course on number theory.
- 25/05/2010 01:46:10 PM
427 Views
Well, I'm not vouching for Wikipedias claim, just reiterating it.
- 25/05/2010 02:35:23 PM
639 Views
It's usually right but I wouldn't but much value on the implied importance
- 25/05/2010 04:22:52 PM
494 Views
If you say so; I really try hard not to channel Pythagoras.
- 26/05/2010 09:26:22 AM
670 Views
- 26/05/2010 09:26:22 AM
670 Views
Re: If you say so; I really try hard not to channel Pythagoras.
- 26/05/2010 10:00:37 AM
620 Views
- 26/05/2010 10:00:37 AM
620 Views
