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May 21 2010 11:32pm
0.999... is not a series but the limit of the series 0.9+0.09+0.009+...

In otherwords, you are wrong. Continue thread kthx hi yes re

edit : +68

This post was edited by Taxidermy on May 21 2010 11:33pm
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May 21 2010 11:34pm
Quote (RainyDay @ May 22 2010 04:44am)
Hence the shorthand notation.  -_-

The difference between 1 and 0.9999999999999... which converges to 0.00...1 which converges to 0.

CONVERGES.

THEY ARE NOT THE SAME.

END THREAD KTHX.


It's hard to tell when people are trolling these threads. I don't know if you are really fucking stupid and/or uneducated, or if you're just fucking with me. Either case is possible, since these mathematics misconceptions are actually very common. Trolling is also very common.

So again, here's why you're wrong. NUMBERS don't converge. Functions and sequences converge. .999... is a fucking number. 0.000...1 is not even a fucking real number.

Besides, think about what you just fucking said. You said the difference between 1 and .999... is zero. (This is true, even though you came to the conclusion with false premises) That's proof that they are the same damn number.

I agree, end the thread. But not with your post, since is full of shit that's just straight up wrong.
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May 21 2010 11:34pm
Quote (Taxidermy @ 21 May 2010 23:32)
0.999... is not a series but the limit of the series 0.9+0.09+0.009+...

In otherwords, you are wrong.  Continue thread kthx hi yes re


Code
In mathematical analysis, a metric space M is said to be complete (or Cauchy) if every Cauchy sequence of points in M has a limit that is also in M or alternatively if every Cauchy sequence in M converges in M.


Code
The space R of real numbers and the space C of complex numbers (with the metric given by the absolute value) are complete, and so is Euclidean space R^n.


oshi-
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May 21 2010 11:38pm
of course, 0.999...=1 though :p

edit : +69

This post was edited by Taxidermy on May 21 2010 11:39pm
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May 22 2010 01:49am
Quote (chone @ May 21 2010 10:34pm)
It's hard to tell when people are trolling these threads.  I don't know if you are really fucking stupid and/or uneducated, or if you're just fucking with me.  Either case is possible, since these mathematics misconceptions are actually very common.  Trolling is also very common.

So again, here's why you're wrong.  NUMBERS don't converge.  Functions and sequences converge.  .999... is a fucking number. 0.000...1 is not even a fucking real number.

Besides, think about what you just fucking said.  You said the difference between 1 and .999... is zero. (This is true, even though you came to the conclusion with false premises)  That's proof that they are the same damn number.

I agree, end the thread.  But not with your post, since is full of shit that's just straight up wrong.


Would I satisfy your idiocy if I said the limit of the total sum of 9/(10^n) as n approaches infinity converges to/approaches 1?

Better? Forgive me if my previous terminology has been incorrect to your understanding of things.

The difference is not 0. Any idiot on the street can see they are not equal.

This post was edited by RainyDay on May 22 2010 01:53am
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May 22 2010 02:27am
Jsp is turning into a 4chan with feelings.
This is sad.
Over used troll material.

(0 Guests and 1 Anonymous) My last post button must be getting wore out.

This post was edited by Heritic on May 22 2010 02:30am
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May 22 2010 02:32am
Quote (Heritic @ 22 May 2010 11:27)
Jsp is turning into a 4chan with feelings.
This is sad.
Over used troll material.

(0 Guests and 1 Anonymous) My last post button must be getting wore out.


All off-topic forums are junk, not just jsp.
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May 22 2010 02:43am
Quote (RainyDay @ May 22 2010 07:49am)
Would I satisfy your idiocy if I said the limit of the total sum of 9/(10^n) as n approaches infinity converges to/approaches 1?

Better? Forgive me if my previous terminology has been incorrect to your understanding of things.

The difference is not 0. Any idiot on the street can see they are not equal.


Wow.

Your previous terminology wasn't incorrect because of "my understanding of things." Your terminology was incorrect because it's just mathematically wrong. So basically, you don't understand the math we're talking about. Kinda sad because it's really elementary.

Okay, there's a difference between a SEQUENCE and a NUMBER. This isn't *my* understanding of things. This is goddamn mathematics. Your statement about that sequence is correct. BUT I'M NOT TALKING ABOUT THAT SEQUENCE. I'm not talking about ANY sequence. [Technically the number is a sequence, but in the same manner that .124 is also a sequence: 1/10 + 2/200 + 4/1000. One is infinite, the other is finite. It is trivial in this manner to differentiate the two; in your case, it is not trivial since you started to ignorantly throw around the word 'converge.']

I'm talking about a number. That number is 0.999...

In math, credentials are meaningless - as is intuition (see the Banach-Tarski paradox, which is actually a theorem). PROOF IS EVERYTHING. The fact of the matter is that there are many *different* ways to PROVE that 0.999... equals 1. To disagree with this is just absurd. It's like disagreeing that there are infinitely many primes just because you don't think there are. Or it's like disagreeing with the fact that the product of compact spaces is compact just because you don't think it is. You are wrong.

Seriously though, answer my fucking question: You say the difference is not 0. Then what is the difference between 0.999... and 1? And remember that 0.000...1 is not a real number.

EDIT: +9000

This post was edited by chone on May 22 2010 02:43am
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May 22 2010 03:06am
Quote (chone @ May 22 2010 06:43pm)
Wow.

Your previous terminology wasn't incorrect because of "my understanding of things." Your terminology was incorrect because it's just mathematically wrong. So basically, you don't understand the math we're talking about. Kinda sad because it's really elementary.

Okay, there's a difference between a SEQUENCE and a NUMBER. This isn't *my* understanding of things. This is goddamn mathematics. Your statement about that sequence is correct. BUT I'M NOT TALKING ABOUT THAT SEQUENCE. I'm not talking about ANY sequence. [Technically the number is a sequence, but in the same manner that .124 is also a sequence: 1/10 + 2/200 + 4/1000. One is infinite, the other is finite. It is trivial in this manner to differentiate the two; in your case, it is not trivial since you started to ignorantly throw around the word 'converge.']

I'm talking about a number. That number is 0.999...

In math, credentials are meaningless - as is intuition (see the Banach-Tarski paradox, which is actually a theorem). PROOF IS EVERYTHING. The fact of the matter is that there are many *different* ways to PROVE that 0.999... equals 1. To disagree with this is just absurd. It's like disagreeing that there are infinitely many primes just because you don't think there are. Or it's like disagreeing with the fact that the product of compact spaces is compact just because you don't think it is. You are wrong.

Seriously though, answer my fucking question: You say the difference is not 0. Then what is the difference between 0.999... and 1? And remember that 0.000...1 is not a real number.

EDIT: +9000


You took the time to type all of that because you actually think that after 67 pages that somebody is going to read all of that?
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May 22 2010 03:09am
Quote (CPK001 @ May 22 2010 09:06am)
You took the time to type all of that because you actually think that after 67 pages that somebody is going to read all of that?


I joined the party a little late :D To me this thread is like 3 pages long. And it took about two minutes to type. Also, it's fun to feed trolls...sometimes.

edit: also lolumad that ur dumb?

This post was edited by chone on May 22 2010 03:09am
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