Products You Never Knew Existed

[wolf]

Originally Posted by monster

beest and I are kind of lost by this notation. What does ".¯ " mean? it appears here to mean /9 -is that correct, and if so, why and how and all that stuff? srsly, we both have relatively high mathematical skills and have never seen this notation before. please 'splain, lucy!

(I wonderd if I was going nuts or senile, so I waited for beest's confirmation before I asked....

My math skills are feeble at best, but I think that's as close to repeating decimal that one can get with this text entry interface.

[BigV]

Originally Posted by monster

beest and I are kind of lost by this notation. What does ".¯ " mean? it appears here to mean /9 -is that correct, and if so, why and how and all that stuff? srsly, we both have relatively high mathematical skills and have never seen this notation before. please 'splain, lucy!

(I wonderd if I was going nuts or senile, so I waited for beest's confirmation before I asked....

http://en.wikipedia.org/wiki/Overline scroll down to the math and science section

it's a notation that means repeat what follows the overbar. so, the decimal notation for 1/3 would be 0.33333333..forever. Since I don't have the easy chops to make the bar appear OVER the 3, I use the overbar (as a separate character) to precede the 3, but it means the same.

[Happy Monkey]

Originally Posted by BigV

http://en.wikipedia.org/wiki/Overline scroll down to the math and science section

it's a notation that means repeat what follows the overbar. so, the decimal notation for 1/3 would be 0.33333333..forever. Since I don't have the easy chops to make the bar appear OVER the 3, I use the overbar (as a separate character) to precede the 3, but it means the same.

And I did it by copy-and-pasting your overbar.

I tried cutting and pasting a real overbarred number from a wikipedia page (i even opened an editing page to change it from a 9 to a 6), but the bar got eaten when moving to the advanced editor, so I went with yours.

[ZenGum]

Originally Posted by Happy Monkey

1/9 = .¯1
9/9 = .¯9
1 = .¯9

This has been messing with my head for some time.

(i'm having trouble with the notation. I'll write r to mean recurring last digit.)

okay, the argument is:

1/9 = .1r
2/9 = .2r
3/9 = .3r
etc
8/9 = .8r
so
9/9 = .9r
But since any x/x = 1
9/9 = 1
hence .9r = 1

Hmm. Troubling.

Intuitive reply.
No it bloody doesn't. See, this is 1. It starts with a 1. That over there is 0.9r. It starts with either a zero or a nine, depending, but either way, it is different from 1. Any fool can see that.

Think of the number line. Zero in the middle, negatives off to the left, positives off to the right. .9r would be immediately to the left of 1. We zoom in, closer and closer; .9r is always abutting 1 on 1's left, but never quite in the same place. Keep zooming, it is always there.

Okay, that's not very convincing if you weren't already convinced.

Here's a better counter argument.

0.9 < 1
0.99 < 1
0.999 < 1
0.9999 < 1

etc

0.999999999999999999999999999999999999999999999 < 1

Observation: adding more nines does not change the fact that it is less than one, no matter how many you add.

so,

0.9r < 1.

Hence, 0.9r =/= 1.

So, apparently, 0.9 both is and is not equal to one.

Man, I think we just accidentally the whole mathematics. Or my head.

[Lamplighter]

By coincidence, I added the explanation to my sig line just a day or so ago while exploring IM's thread on Number Associations.

x ≠ y ⇔ ! (x = y)

See, kings can work together !

[Happy Monkey]

Thanks!

[BigV]

jinx you owe me a coke.

[monster]

oh right, thanks.. Is there really no way to get the bar over the top? gotta admit I've never had to try.......

[BigV]

Yes, in other more sophisticated editors, sure. In this editor, I didn't find a way in the timeframe I was happy with and I found an acceptable substitute. Meh. If you do find it, please publish it.

[monster]

I'm kind of surprised it's not avaialable in the special alt characters -after all, you can get every vowel with every possible accent and umlaut -this is numberist! After all, they only need to provide 10 characters.....

http://www.tedmontgomery.com/tutorial/altchrc.html

[BigV]

I found lots of pages that discussed the unicode key sequences for it... then I found quick and dirty, done.

[BigV]

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[ZenGum]

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[Pete Zicato]

Great idea. I hope it latches on.

[Pete Zicato]

It's great the we at the cellar keep abreast of these trends.