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SMBC Comics Forum • View topic - [2011-May-18] Mathness of 1

[2011-May-18] Mathness of 1

Blame Quintushalls for this.

Moderators: NeatNit, Kimra

Re: Mathness of 1 [2011-May-18]

Postby K^2 » Wed May 18, 2011 7:11 pm

Hey. We, Physicists, know perfectly well that 0^0 is undefined. We only use it as a short-hand in certain general formulae. It's shorter than writing "x^y, unless both are zero, in which case, read it as 1." And it just happens to work out this way more often than not.
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Re: Mathness of 1 [2011-May-18]

Postby WK1 » Wed May 18, 2011 7:17 pm

I also came to say that 0^0 is undefined, but I have an simpler explanation. 0^(anything else) is 0. (anything else)^0 is 1. 0^0 can't be both 0 and 1, it is undefined.

Zach Weiner should take a pre-algebra class.
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Re: Mathness of 1 [2011-May-18]

Postby Edminster » Wed May 18, 2011 7:20 pm

So do none of you guys know that if you hover over the red button you get a further comic? Because Zach already knows about this stuff and it makes you look kinda retarded to go over the same material over and over.
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Re: Mathness of 1 [2011-May-18]

Postby Ben G » Wed May 18, 2011 7:31 pm

Although Tom Swift is right in stating that basic calculus says that 0^0 should not have a value (since no value would make the function x^y continuouss), the fact remains that the accepted mathematical convention is to let 0^0 be 1.

http://www.askamathematician.com/?p=4524

While the definition of 0^0=1 doesn't necessarily square (that is, hypocube) to make x^y continuous, it does implicitly create a contradiction and apparently makes several other mathematical definitions/formulae simpler.
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Re: Mathness of 1 [2011-May-18]

Postby Ben G » Wed May 18, 2011 7:34 pm

edit:

"...doesn't necessarily square (that is, hypocube) WITH ATTEMPTS to make x^y continuous, it does NOT implicitly create a contradiction...."

hooray for proofreading! I think we're good here.
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Re: Mathness of 1 [2011-May-18]

Postby Astrogirl » Wed May 18, 2011 8:14 pm

crogression? !
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Re: Mathness of 1 [2011-May-18]

Postby Roman Cilicia » Wed May 18, 2011 9:08 pm

this is so ghey

what are we, xkcd?

okay, regarding the comic (get it? I was talking about this stupid layout):

this is so gay

what is this, xkcd?
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Re: Mathness of 1 [2011-May-18]

Postby Ben G » Wed May 18, 2011 10:04 pm

Ben G
 

Re: Mathness of 1 [2011-May-18]

Postby Guest » Wed May 18, 2011 11:12 pm

You could say e^{\pi/2}i^i is a set valued mapping, so maybe the rightmost mathematician is saying "We're the cardinality of the natural numbers!"
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Re: Mathness of 1 [2011-May-18]

Postby Guest » Thu May 19, 2011 2:33 am

Guest
 

Re: Mathness of 1 [2011-May-18]

Postby Kimra » Thu May 19, 2011 3:03 am

So, apparently when I look at this tread it just looks like a whole lot of people drawing incomprehensible smiley faces.
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Re: Mathness of 1 [2011-May-18]

Postby Rileyc » Thu May 19, 2011 3:08 am

Mathematicians are also not allowed to not wear glasses, apparently!
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Re: Mathness of 1 [2011-May-18]

Postby Felstaff » Thu May 19, 2011 8:28 am

It's against the law for any scientist to be out of their labcoat at any time.
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Re: Mathness of 1 [2011-May-18]

Postby Edminister » Thu May 19, 2011 8:34 am

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Re: Mathness of 1 [2011-May-18]

Postby Astrogirl » Thu May 19, 2011 1:15 pm

The clones, the clones are a-coming!
crogression? !
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