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Topic: 2 = 1

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21 JAN 2003 at 2:47pm

Agustín Cordes

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Oh no...

[img]http://www.scuolaitalianavalpo.cl/matem/images/matematica.jpg[/img]

How is this possible??

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21 JAN 2003 at 4:23pm

Aya

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(a+b)=b => a=b-b => a=0 so b=0

so you divided by zero!

You have gotten the attention of the mysterious lady. She turns to face you. Her face is devoid of any flesh. You are frozen with horror as she begins ripping your body into a bloody mess.


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21 JAN 2003 at 5:59pm

Agustín Cordes

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Excellent, Panayotis

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22 JAN 2003 at 2:08am

Aya

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well math's my strongest point!

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22 JAN 2003 at 3:00am

MichalN

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Originally Posted By Aya_Brea (22 JAN 2003 2:08am)
well math's my strongest point!

I still hate math but in the above it's pretty obvious that if 2a = a then a must be 0; so instead of 2 = 1 the last line should really read 0 = 0. In high school math lessons they were beating into our heads that when solving problems like this, you need to set up the contstraints - so when you divide by a variable, it can't be zero.

It's still a fun puzzle though

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22 JAN 2003 at 3:14am

Aya

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Originally Posted By MichalN (22 JAN 2003 3:00am)

I still hate math but in the above it's pretty obvious that if 2a = a then a must be 0; so instead of 2 = 1 the last line should really read 0 = 0. In high school math lessons they were beating into our heads that when solving problems like this, you need to set up the contstraints - so when you divide by a variable, it can't be zero.

that was the point i guess... to confuse you by dividing by a which is in fact 0... of course there could be another explanation using imaginary numbers! (are they called that in english?)

You have gotten the attention of the mysterious lady. She turns to face you. Her face is devoid of any flesh. You are frozen with horror as she begins ripping your body into a bloody mess.


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22 JAN 2003 at 7:55am

MichalN

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Originally Posted By Aya_Brea (22 JAN 2003 3:14am)
that was the point i guess... to confuse you by dividing by a which is in fact 0... of course there could be another explanation using imaginary numbers! (are they called that in english?)

Complex numbers you mean? Which have a real and imaginary part? That wouldn't work though since division by zero does not result in a complex number... at best it produces infinity.

Or did you mean something else?
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22 JAN 2003 at 1:13pm

Aya

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Originally Posted By MichalN (22 JAN 2003 7:54am)

Complex numbers you mean? Which have a real and imaginary part? That wouldn't work though since division by zero does not result in a complex number... at best it produces infinity.

Or did you mean something else?

i mean the i thing! (that was scientific wasn't it?
) they are called imaginary numbers and IIRC could be divided by zero... smth like that! it's been nearly ten years you now :

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22 JAN 2003 at 1:26pm

Agustín Cordes

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Yes, Panayotis, the "i" thing are called Complex Numbers. And no single number can be divided by zero!!! - at least, not in our math system
That is unless you define a set where "zero" is an element that has a special behaviour.

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22 JAN 2003 at 1:39pm

Aya

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Originally Posted By Rael (22 JAN 2003 1:26pm)
Yes, Panayotis, the "i" thing are called Complex Numbers. And no single number can be divided by zero!!! - at least, not in our math system
That is unless you define a set where "zero" is an element that has a special behaviour.

ok i won't argue but i somehow remember that within the complex numbers there could be division by zero... i'll look it up at some point

You have gotten the attention of the mysterious lady. She turns to face you. Her face is devoid of any flesh. You are frozen with horror as she begins ripping your body into a bloody mess.


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22 JAN 2003 at 6:28pm

MichalN

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Originally Posted By Aya_Brea (22 JAN 2003 1:38pm)
ok i won't argue but i somehow remember that within the complex numbers there could be division by zero... i'll look it up at some point

No, but you can take a square root of negative numbers in the complex domain. And I believe i is in fact sqrt(-1) (or i * i = -1 if you wish).
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22 JAN 2003 at 7:18pm

Elfstone

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Ah yes, always prove the results by putting the values for the variables and recalculating.
I fell for it!
Crap, I've forgotten everything in just a year...
[b]playing[/b]: Destination Treasure Island (done in two sittings, but it's nice), Syberia (ho-hum), Dracula: Last Sanctuary (on hold)&&[b]reading[/b]: even more study papers&&[b]listening to[/b]: [url=http://www.last.fm/user/Brax82/]this and that[/url], plus [url=http://www.musicovery.com/]Musicovery[/url]&&[b]TV favorites[/b]: (currently) Pushing Daisies, Chuck, Journeyman (cancelled! grrr...), Heroes&&
all-time) 24, Stargate SG1, X-Files, Lost, House

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