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Are numbers Real #2
#11
RE: Are numbers Real #2
You guys run on decimal time in The US too, right?
"If we go down, we go down together!"
- Your mum, last night, suggesting 69.
[Image: 41bebac06973488da2b0740b6ac37538.jpg]-
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#12
RE: Are numbers Real #2
Binary is sufficient to represent any real number.

BTW 0.11111111111.... =1
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#13
RE: Are numbers Real #2
[Image: numbers-baby-meme]
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#14
RE: Are numbers Real #2
(October 17, 2018 at 6:11 am)Abaddon_ire Wrote:
(October 17, 2018 at 5:37 am)robvalue Wrote: Wow that’s cool. I didn’t know they came about that way (the Romans).

I was thinking what base 1 numbers would look like. I realised that it would just be adding a 1 every time. I’m not sure without checking whether that’s considered a valid system. It’s obviously very stupid, and is the equivalent of putting objects along the floor in a line. Weirdly, the 0 character would only ever appear once at the start.

0
1
11
111
1111
11111
It's called Unary and it is used in primitive accounting. Think marks on a tally stick for counting.

Yes of course, this occurred to me later as well Smile I didn’t realise it had a name, although I think I got an infection there once.

I am fascinated with the importance of extremely weird numbers such as pi and e. They crop up all over the frigging place, sometimes from things you’d never expect.

For example, the infinite sum of inverse squares, if my memory serves me right:

1/1 + 1/4 + 1/9 + ... = (pi^2)/6

Can’t remember what I did five minutes ago, of course. But I remember stuff like this I learnt over 20 years ago.
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#15
RE: Are numbers Real #2
(October 17, 2018 at 8:09 am)LastPoet Wrote: Binary is sufficient to represent any real number.

BTW 0.11111111111.... =1

I thought it was 0.9999999999 = 1

Huh
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#16
RE: Are numbers Real #2
(October 17, 2018 at 12:02 pm)vulcanlogician Wrote:
(October 17, 2018 at 8:09 am)LastPoet Wrote: Binary is sufficient to represent any real number.

BTW 0.11111111111.... =1

I thought it was 0.9999999999 = 1

Huh

Binary system, lol

1 + 1 = 10
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#17
RE: Are numbers Real #2
(October 17, 2018 at 12:02 pm)vulcanlogician Wrote:
(October 17, 2018 at 8:09 am)LastPoet Wrote: Binary is sufficient to represent any real number.

BTW 0.11111111111.... =1

I thought it was 0.9999999999 = 1

Huh

That is using a decimal system. This stems from the fact that a real number can have more than one numeric representation. In binary, 0.111.... =1.

We already knew that from rational numbers, e.g: 2/2 = 3/3 =1.
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#18
RE: Are numbers Real #2
(October 17, 2018 at 12:07 pm)Grandizer Wrote:
(October 17, 2018 at 12:02 pm)vulcanlogician Wrote: I thought it was 0.9999999999 = 1

Huh

Binary system, lol

1 + 1 = 10

There are 10 kinds of people. Those that understand binary and those who don't.
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#19
RE: Are numbers Real #2
Binary is also useful for modelling religious thinking.
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#20
RE: Are numbers Real #2
(October 17, 2018 at 6:47 am)Mathilda Wrote:
(October 17, 2018 at 4:37 am)robvalue Wrote: I’d say it’s pretty certain that we use base 10 because we have that many fingers.


Considering that it's a man's world I'm surprised we haven't been using base 11.

Spoken English renders this as "two hands and one dick".

Anyone ever read Donnerjack, by Zelazny and Lindskold? There's some usage along those lines in that book.
If you get to thinking you’re a person of some influence, try ordering somebody else’s dog around.
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