Prove me wrong

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Abdul Muntakim Rafi
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Re: Prove me wrong

Unread post by Abdul Muntakim Rafi » Sun Dec 11, 2011 1:06 am

Yeah... This contradiction leads us to $x/0=undefined$ when $x$ is not equal to $0$ and $0/0=indeterminate$ ...
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tanvirab
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Re: Prove me wrong

Unread post by tanvirab » Sun Dec 11, 2011 2:36 am

Abdul Muntakim Rafi wrote: $0/0=indeterminate$ ...
What is the definition of $0/0$?

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Abdul Muntakim Rafi
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Re: Prove me wrong

Unread post by Abdul Muntakim Rafi » Sun Dec 11, 2011 1:20 pm

That it may take any value... so its $indeterminate$... :? :? :?
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tanvirab
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Re: Prove me wrong

Unread post by tanvirab » Sun Dec 11, 2011 1:36 pm

That's not a definition. That's nonsense.

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Re: Prove me wrong

Unread post by tanvirab » Sun Dec 11, 2011 1:39 pm

Look at the definition of division again, and prove how $0/0$ is defined. You cannot just make up random ideas and claim that to be a definition. If you could, then flying cows would be real because you can define flying cows as flying cows.

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Re: Prove me wrong

Unread post by nafistiham » Sun Dec 11, 2011 2:04 pm

the problem is getting too messy to proceed.isn't it?
why can't we just say that it's just the definition?
even in the MOs the stage persons answer the q by saying just "we can divide anything by $0$"
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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tanvirab
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Re: Prove me wrong

Unread post by tanvirab » Sun Dec 11, 2011 2:12 pm

There is nothing messy about it. Mathematics is a very precise science. it does not work just by saying things, no matter who says it.

Look at the definitions again:
Multiplicative inverse: The multiplicative inverse of a number x is a number y such that xy=1. Usually the inverse is written $x^{-1}$ or $1/x$
Division: The division of a number x by a number y is xy−1 where y−1 is the multiplicative inverse of y. Usually this is written $x/y$.

Now define $0/0$, if you can.

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Masum
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Re: Prove me wrong

Unread post by Masum » Sun Dec 11, 2011 5:58 pm

In fact, what Tanvir vai is trying to say is, if you can't define something at all, then how can it make any sense, whatever the field is, real or complex!
One one thing is neutral in the universe, that is $0$.

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Abdul Muntakim Rafi
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Re: Prove me wrong

Unread post by Abdul Muntakim Rafi » Sun Dec 11, 2011 9:19 pm

http://en.wikipedia.org/wiki/Division_by_zero Visit this page...
See the section: Division as the inverse of multiplication
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Re: Prove me wrong

Unread post by tanvirab » Sun Dec 11, 2011 11:25 pm

The wikipedia article is also wrong. It makes the same mistake as Rafi. Division is not magic. It is simply multiplication by inverse. When you say $0/0$ it means multiplying $0$ by the inverse of $0$. The inverse of $0$ cannot be defined, and therefore $0/0$ cannot be defined either.

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