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1 = √[1] = √[(-1) * (-1)] = √[-1] * √[-1] = i * i = i² = -1. Thus, 1 = -1. QED

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Tejesh ?? Senior Member
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02-24-2013

Numbers are so much fun. I used to absolutely pi** off my math teachers in school with dumb stuff like this.

 
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0neechan ?? Member
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02-24-2013

Quote:
Originally Posted by Doghealer View Post
a = 1
b = 1
a = b
a*a = b*a
a^2-b^2=b*a-b^2
(a+b)(a-b)=b(a-b)
a+b=b
2=1

DID I WIN?
..yes, you did

 
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Blugyblug ?? Senior Member
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02-24-2013

Quote:
Originally Posted by Griftrix View Post
In mathematics, isn't technically wrong, exactly wrong?
Integrate (x^3 - 2x^2 -2x -1)/(x^2 -2x-3)

 
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Doghealer ?? Senior Member
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02-24-2013

Quote:
Originally Posted by Blugyblug View Post
Integrate (x^3 - 2x^2 -2x -1)/(x^2 -2x-3)
(log(x+1)+log(x-3)+x^2)/2

EDIT: Totally Shen'd the red.

 
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Celenphor ?? Senior Member
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02-24-2013

Nerds.

 
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Griftrix Griftrix's Avatar ?? Senior Animation Engineer
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4 of 15 Riot Posts
02-24-2013

Quote:
Originally Posted by Blugyblug View Post
Integrate (x^3 - 2x^2 -2x -1)/(x^2 -2x-3)
1/2 * [ x^2 + log ( -x^2 + 2x + 3 ) ] + constant

 
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Boyahda ?? Senior Member
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02-24-2013

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Griftrix Griftrix's Avatar ?? Senior Animation Engineer
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5 of 15 Riot Posts
02-24-2013

Quote:
Originally Posted by Doghealer View Post
(log(x+1)+log(x-3)+x^2)/2

EDIT: Totally Shen'd the red.
O_o

Given point P and location L, create the look at, up, and right vectors of a camera's orientation matrix that is located at L and looking at point P. You can use Z as up, or whatever you want, just tell me which you're using.

Oh, and please show your work.

 
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Krent8 ?? Senior Member
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02-24-2013

Quote:
Originally Posted by Griftrix View Post
It is. But you will only understand that if you understand that 0.9 repeating is a real number, not something that approaches a number. Without that understanding it may be hard to grasp.
1/11=.0909090~~~
2/11=.18181818~~~
3/11=.2727272727~~~
10/11=.90909090~~~~
11/11=.99999999~~~ = 1

You are essentially adding .0909090909~~~ for every eleventh you add to the fraction. At the very end you get .99999~~~ or 11/11 (the real number) which we all know as 1 therefore .9999~~~=1.

 
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Doghealer ?? Senior Member
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02-24-2013

Quote:
Originally Posted by Griftrix View Post
Oh, and please show your work.
http://www.numberempire.com/integralcalculator.php

Alas, I have forgotten how to integrate by hand. >.<