ForumsThe TavernMath Thread

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daleks
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daleks
3,766 posts
Chamberlain

This thread is just what the title says it is. It is all about Math. You can post math jokes(the jokes don't have to be good), math questions, what you like about Math, or even why you hate Math.

My math joke: Resistance is not futile. It is voltage divided by amps.

  • 386 Replies
pickpocket
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pickpocket
5,952 posts
Shepherd

Yeah that's a real bad example. Think of an infinant long train track and you add a foot to it and it's still infinant....not much better

Alexistigerspice
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Alexistigerspice
1,502 posts
Farmer

Jeol, what about a circle? It never ends, which is similar to the idea of infinity, right? So adding an inch to the circumference maybe? Sorry for double posting.

Alexistigerspice
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Alexistigerspice
1,502 posts
Farmer

Gah nevermind then. Sorry for being ignorant. I cant think of any good examples and thats the only one I came up with and it sucked. Oh well.
Maybe a line on a graph. Idk.

EmperorPalpatine
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EmperorPalpatine
9,438 posts
Jester

.9999999999... equals 1.

In an asymptotic curve, when x=/=1, how close does it get?
aknerd
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aknerd
1,416 posts
Peasant

1
11
21
1211
111221
312211
13112221
1113213211

31131211131221

x=.9999...

10x=9.999999...

10x-x=9.99999...

9x=9

x=1

Ahh! You seem to have messed up the third line:
10x - x = 9.9999.... - 0.999999999....
=> 9x = 9
x=1

That doesn't seem algebraicly logical. Where did the '-x' come from? And how did you get '9x=9'?

See above. All of the numbers in the decimal places of 9.99999999999.... were "deleted" by subtracted x=0.999999999 from both sides of the equation. It is a very famous proof, I assure you it is accurate.

Does infinite officially begin at the point where we no longer have names for large numbers?

No, "infinite" doesn't really begin. In complex plane, infinity is considered a point, where &quotositive" and "negative" infinity don't make logical sense. So, we just have a point where all the "infinities" meet.

You can think of the complex plane (which includes the real number line, and therefore "real" infinity in addition to all of the complex numbers and complex infinities) as being a blanket wrapped around the ball. The center of the blanket is the origin (0,0), and where all the edges of the blanket meet on the other side of the ball is infinity. I could give a more rigorous description of how this exactly works (the ball is called a Riemann sphere, in case you want to look it up), if people so desire.
EmperorPalpatine
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EmperorPalpatine
9,438 posts
Jester

Second, if 1/3 is equal to .333333....,

It's not. It's just a very close estimate using base 10.

It gets infinitely close.

Numerically, how close is infinitely close?
EmperorPalpatine
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EmperorPalpatine
9,438 posts
Jester

It is not possible in this physical universe to write an infinitely close number. But an infinitely close number can be as easy as imagining 0.999.. and 1.

How would .999... not be infinitely close to 1? It could also be valued on a number line as an infinitely small distance away from 1.
EmperorPalpatine
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EmperorPalpatine
9,438 posts
Jester

It just grows infinitely close.

That's the same reason 1/3 =/= .333333... The decimal is infinitely close to the fraction, but does not actually reach the value.
master565
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master565
4,104 posts
Nomad

Does infinite officially begin at the point where we no longer have names for large numbers?


Well, we'd kind of just keep making up more names.

I know google is a number followed by 100 zeros...


It's spelled googol, not the website.
johnmerz
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johnmerz
536 posts
Shepherd

We could debate about if .9999999...=1

I'm of the opinion that .999...=1.
n/0

For some reason that I don't know, I was taught that n/0=1...

Oh, and another proof that .999...=1: 1/9=.111... 2/9=.222... 3/9=.333... 4/9=.444... 5/9=.555... 6/9=.666... 7/9=.777... 8/9=.888... therefore: 9/9=.999...
acmed
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acmed
3,517 posts
Nomad

For some reason that I don't know, I was taught that n/0=1...


It does not. Let's do 5.

If 5/0=1, then 1x0 would have to equal five, which it doesn't.
daleks
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daleks
3,766 posts
Chamberlain

I think infinite is just a number constantly repeating

Infinity is not a number at all. As wikipedia says it is a "quantity without bound or end".
zakyman
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zakyman
1,627 posts
Peasant

1
11
21
1211
111221
312211
13112221
1113213211

31131211131221


Sigh, +1 internets to aknerd, for solving it before anyone else. Here, you also get a batch of cybercookies! *gives cybercookies*
acmed
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acmed
3,517 posts
Nomad

If you had a line that was infinitely long, is it not still a line, or has length?


It would be a line, which never stops. A line that stops both ways is a line segment. I forgot, what is a line that stops one way but goes the other way forever?
Gantic
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Gantic
11,891 posts
King

I forgot, what is a line that stops one way but goes the other way forever?


A ray.
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