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Jul - Craziness Domain - Division by zero is now possible... New poll - New thread - New reply
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Cirvante
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Posted on 10-09-09 09:02:40 PM Link | Quote
...for complex numbers.

There goes the universe!

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Posted on 10-09-09 09:06:06 PM Link | Quote

I'd pronounce that infiñity.

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Posted on 10-09-09 09:24:54 PM Link | Quote
It's pretty obvious once you think about it.

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Posted on 10-09-09 10:29:04 PM Link | Quote








I don't see the complexity. :/

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Higsby

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Posted on 10-09-09 10:29:21 PM Link | Quote


And for the longest time I thought that the answer to anything divided by zero was "Error 2" .





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Taryn

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Posted on 10-09-09 10:29:40 PM Link | Quote


How do you split 5 apples between 0 people?

I used to think you could add a number to the number system similar to i, I think I called it j, for 1/0.

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Cirvante
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Posted on 10-09-09 10:31:05 PM Link | Quote
No, j is really just how electrical engineers write i (since i means current there)

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Posted on 10-09-09 10:31:43 PM Link | Quote




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Yup. On that note, I hate complex math.

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Posted on 10-09-09 10:31:51 PM Link | Quote


Yeah, sometimes i is called j.

I think there's also a type of number called a quaternion, which has 4 components (like how a complex number has 2, real and imaginary).

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Cirvante
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Posted on 10-09-09 11:01:07 PM Link | Quote
"Quaternions" are just a fancy name for 4-dimensional vectors, mainly used in physics to represent a point in Minkowski spacetime.

On another note, I sort of see why such a definition for zero division is plausible. You see, for real numbers, it's customary to say that lim 1/x as x approaches zero is infinity. This is not quite true, however- for the actual limit does not exist. What do exist are two separate limits depending on whether x is positive or negative; that is,

lim [x->0+] = ∞
lim [x->0-] = -∞

So when x:=0, 1/x can be either positive or negative infinity and as such remains undefined.

However, this is not the case for complex numbers. If we take lim [z->0] 1/z, recall that z can be written as z= |z|eiθ, where |z| is the modulus (magnitude) of z. Thus, lim [z->0] 1/z becomes

lim [z->0] 1/|z|eiθ

Now, as z approaches zero, the result approaches a complex number with infinite modulus, but since θ does not depend on the magnitude of z, the argument can be any angle. This matches the definition of complex infinity- infinite magnitude, but unknown argument.

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Posted on 10-09-09 11:04:21 PM Link | Quote

So this is what caused famous mathematicians to go absolutely mad. (Heh, I made a nerdy funny)

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Posted on 10-10-09 05:48:53 PM Link | Quote
I always thought it equaled E.

That's what my calculator said! Calculators never lie!

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Posted on 10-10-09 05:51:43 PM (last edited by Terra at 10-10-09 02:52 PM) Link | Quote

Get a better calculator, Colin?

Actually, I think even my graphing calculator would give "ERR: DIVIDE BY 0" or "ERR:UNDEFINED". I wonder if any give NAN like many computer programs

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Posted on 10-10-09 05:58:52 PM Link | Quote
Old calculators would just say E.

And then you sit there trying to figure out what E could possibly mean and why you need to clear everything before calculating anything. :\

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Taryn

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Posted on 10-10-09 06:08:29 PM Link | Quote


Yeah, I always wondered why you had to clear the error. Why not just have it so that, if there's an E and you push (say) 5, the error is automatically removed and the 5 is entered?

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Posted on 10-12-09 04:06:00 AM Link | Quote
Originally posted by Terra
How do you split 5 apples between 0 people?


Better yet, how do you cut a pizza into 0 pieces? (It's already one piece)


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Posted on 10-12-09 04:09:19 AM Link | Quote
VIDEO IS BLUE AND BLUE ON THE THING

Originally posted by Silver Skree
how do you cut a pizza into 0 pieces? (It's already one piece)

OM NOM NOM

It leaves it in 0 pieces.

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Taryn

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Posted on 10-12-09 04:30:34 AM Link | Quote


That's not division though, that's subtraction

OK, let's say it was a vat of toxic waste instead of a pizza

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Posted on 10-12-09 12:18:34 PM Link | Quote
Weighted Storage Cube Dispenser
Cake Slice
Dump it on the joker.

Now it`s everywhere. Easy division by 0!

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Jul - Craziness Domain - Division by zero is now possible... New poll - New thread - New reply


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