Sunday, April 20, 2008

Cyclic numbers



1 x 142857 = 142857
2 x 142857 = 285714
3 x 142857 = 428571
4 x 142857 = 571428
5 x 142857 = 714285
6 x 142857 = 857142
7 x 142857 = 999999

1 ÷ 7 = 0 . 142857 142857 142857 14...
2 ÷ 7 = 0 . 285714 285714 285714 28...
3 ÷ 7 = 0 . 428571 428571 428571 42...
4 ÷ 7 = 0 . 571428 571428 571428 57...
5 ÷ 7 = 0 . 714285 714285 714285 71...
6 ÷ 7 = 0 . 857142 857142 857142 85...
7 ÷ 7 = 0 . 999999 999999 999999 99...

For the record, 0.999999... is another way of writing 1.

Number theory, not numerology.

Monday, April 7, 2008

Bridge Over Troubled Music






Why did no one ever tell me that Windows' calculator had a scientific mode? Why have I gone the past 10 years of owning a computer without knowing this? For most of you, this may not seem like a big deal, but if you've ever taken an advanced mathematics course, you'll know how excited I am. It has all the features of my TI-36X (non-graphing) calculator. Graphing calculators are for pussies. I bring it old school.