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0.999.... = 1
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Brutus
BuffNerd
BuffNerd


Joined: 13 Mar 2005
PostPosted: Wed Jul 06, 2005 4:51 pm 
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Sully wrote:

Brutus:
I was using ~ to signify that the digit was infinitly repeating in the same the same way that a line over the last digit written would be used. It isn't 0.99, it's 0.9-repeating.


For any ~ to any"..." = something quantified then the quantifiable math will be the same. No matter how far down the rabbit hole you go .9~ = .9~. You just have to have the gumption to bring your ass down there. Very Happy Using .09 was easiest example - if you use .99999 or whatever you'll get the same answer. AND If .99 = 1 then it would be called 1, AND for functional brevity call 1 "1" instead of "0.9~". Smashed

Ever see that movie "Office Space"? A federal Jury probably wouldn't have seen their 0.0000001 = 0.0 either. Smile

Good post.
Mug Toast
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Cap'n Sprite
Crazy Puertorican
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Joined: 13 Mar 2005
Location: [-Puerto Rico-]
PostPosted: Wed Jul 06, 2005 5:06 pm 
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OMG, The nerds are coming out of their hole.


*runs*

Razz
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Wang Chung
Elite
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Joined: 13 Mar 2005
Location: Virginia Tech
PostPosted: Wed Jul 06, 2005 5:23 pm 
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Sully wrote:
Damn you Wang! Ordinarily, I'd be researching Godel's Incompleteness theorem so I know how to thwart your misguided attempt to disprove me. However, I'm instead doing something with an actual girl. Not a fictional one. Hah!


Actually I was agreeing you. n00b. I cited Godel's Theorem, because that's what always reminds me that when I get frustrated by math I have to keep in mind that it's a simple system of measure that WE created.

Instead of ranting on and on to disprove your bashing of me, I'll be looking at ASCII pron on three monitors. Thus I will have three times the chicks that you will at any given time, guaranteed! In addition, these chicks won't nag me for money or anything. We'll see who has the fatter wallet when we're done.
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Brutus
BuffNerd
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Joined: 13 Mar 2005
PostPosted: Wed Jul 06, 2005 5:36 pm 
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LOL

Its your pirate berfday so enjoy all 3 monitors!!! Very Happy Bet you couldn't use the mouse and the keyboard too though. Do the math. Wink

Math is definitely manufactured. But it is also the world's universal (and most anal) language - so it dont hurt to speak it a little.
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CountChocula
Warning- may cause CountChoculitis


Joined: 16 Mar 2005
Location: sittin on my throne as the prince of bel-air
PostPosted: Wed Jul 06, 2005 6:01 pm 
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Cap'n Sprite wrote:
OMG, The nerds are coming out of their hole.


*runs*

Razz


QFE!
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[20:43] -≠∫ĆŤ∫≠- ŜρξčļαГ јỈмMﻻ: we'll aim for bender
[20:43] -≠∫ĆŤ∫≠- ŜρξčļαГ јỈмMﻻ: but use a lot of napalm
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RCSI
The YARR Master
The YARR Master


Joined: 13 Mar 2005
Location: On a Ship
PostPosted: Wed Jul 06, 2005 6:42 pm 
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omg dejavue or whatever
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Jabberwocky
Helmsman
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Joined: 13 Mar 2005
PostPosted: Wed Jul 06, 2005 8:12 pm 
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there is absolutely no reason that it would ever matter if .9~ = 1 . at all. i'm not satisfied with that proof anyway, you can't do accurate mathematical caculations with repeating numbers as far as i know. there's another way to disprove this theorem (it's a common one on the internet) but i don't care enough to find it.

in reality, it doesn't matter.
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Sully
King of all Nerds


Joined: 06 Jun 2005
Location: Wisconsin
PostPosted: Wed Jul 06, 2005 9:04 pm 
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Fine. I'm sorry Wang.

Brutus:
You're missing the point. We arn't cutting off the nines at any point. They are infinitely repeating. If you have any finite number of repeating nines after the decimal point, it does not equal zero. But if you have infinitly repeating nines, it equals one.

And Jabberwocky:
There is a calculus based proof that uses infinite series that addresses the proof more directly. I didn't post it because I've taken enough calculus to understand the setup and why it would work, but not to actually do the final steps.
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K9 Carlos
Old Fart
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Joined: 13 Mar 2005
Location: Behind You
PostPosted: Wed Jul 06, 2005 9:12 pm 
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Would you all stop before I calculate the speed your ass was moving when it left those skid marks in your drawers.
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CountChocula
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Joined: 16 Mar 2005
Location: sittin on my throne as the prince of bel-air
PostPosted: Wed Jul 06, 2005 9:16 pm 
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K9 Carlos wrote:
Would you all stop before I calculate the speed your ass was moving when it left those skid marks in your drawers.


PWNED!!! ROFL!
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[20:43] -≠∫ĆŤ∫≠- ŜρξčļαГ јỈмMﻻ: we'll aim for bender
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Padfoot
Queen of the Padded Feet


Joined: 13 Mar 2005
Location: the crow's nest
PostPosted: Wed Jul 06, 2005 9:49 pm 
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mathematical proofs, theorems, and such aside, .9999999~ will never=1. If it did, it wouldnt exist, it'd be 1.
.99999~can't be absolutely equivalent to one, because there's always the .000000000000000~1 that will make it 1. you can't have 1 whole if you've only got part. mathematically and theortically, it's possible, but in reality, it's not.

no matter what you say, the man who got .9999~ of a pie will never be as happy as the man who got 1 whole cherry pie. Wink
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YAARRRrrrrrr!
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Rally Monkey
So if you could just restore that rank..
So if you could just restore that rank..


Joined: 13 Mar 2005
PostPosted: Wed Jul 06, 2005 9:56 pm 
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SupaFly wrote:
heres how 3=5....


Theorem : 3=4
Proof:
Suppose:
a + b = c
This can also be written as:
4a - 3a + 4b - 3b = 4c - 3c
After reorganising:
4a + 4b - 4c = 3a + 3b - 3c
Take the constants out of the brackets:
4 * (a+b-c) = 3 * (a+b-c)
Remove the same term left and right:
4 = 3

ok, now since 4 = 3... lets make 4 =5


Theorem: 4 = 5
Proof:
16 - 36 = 25 - 45
4^2 - 9*4 = 5^2 - 9*5
4^2 - 9*4 + 81/4 = 5^2 - 9*5 + 81/4
(4 - 9/2)^2 = (5 - 9/2)^2
4 - 9/2 = 5 - 9/2
4 = 5

soooooo since 3 = 4 now & 4 = 5, then 3 = 5


Wonderful display of circular logic Supa
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anonymousity
Stealth's Wench
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Joined: 14 Mar 2005
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PostPosted: Wed Jul 06, 2005 11:12 pm 
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Pirate Pwn
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Sully
King of all Nerds


Joined: 06 Jun 2005
Location: Wisconsin
PostPosted: Wed Jul 06, 2005 11:18 pm 
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Padfoot wrote:
mathematical proofs, theorems, and such aside, .9999999~ will never=1. If it did, it wouldnt exist, it'd be 1.
.99999~can't be absolutely equivalent to one, because there's always the .000000000000000~1 that will make it 1. you can't have 1 whole if you've only got part. mathematically and theortically, it's possible, but in reality, it's not.

no matter what you say, the man who got .9999~ of a pie will never be as happy as the man who got 1 whole cherry pie. Wink


They would be just as happy, because zero point nine repeating is just another way of saying one! Just like zero point three repeating is just another way of saying one third.
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CountChocula
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Joined: 16 Mar 2005
Location: sittin on my throne as the prince of bel-air
PostPosted: Wed Jul 06, 2005 11:22 pm 
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OMFG a speck of my pie is missing!!! Evil or Very Mad
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[20:43] -≠∫ĆŤ∫≠- ŜρξčļαГ јỈмMﻻ: we'll aim for bender
[20:43] -≠∫ĆŤ∫≠- ŜρξčļαГ јỈмMﻻ: but use a lot of napalm
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