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Re: division by zero [Re: Marek_Andrzej] #233174 17/07/11 03:51 PM
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Basically 0^0 and 0/0 are undefined in a strict interpretation, but in specific applications it is convenient to allow them to take on particular values. In the case of 0^0, it turns out that it is convenient in a LOT of situations to let it equal 1 because it has certain implications, but even so it's not rigorously correct. On the other hand, defining 0/0 a particular way doesn't really seem to have the same kind of ramifications so it's mostly left undefined.

Re: division by zero [Re: Marek_Andrzej] #233175 17/07/11 03:55 PM
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Originally Posted By: Marek_Andrzej
on the other way

if x->0 then limes(x/x)=limes(x'/x')=limes(1/1)=1


That just tells you that the expression x/x tends toward 1 when x tends toward 0. It doesn't say that 0/0 equals anything.

Limits describe behavior AROUND a point, but completely ignores the behavior AT that point.

Re: division by zero [Re: Marek_Andrzej] #233176 17/07/11 07:57 PM
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Originally Posted By: Marek_Andrzej
I agree with all but its not explaning why not 0/0=1


0 divided by any number cannot be 1 because 0 is less than one to begin with!

Re: division by zero [Re: Marek_Andrzej] #233178 17/07/11 08:59 PM
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this the question is zero is real number or not

Re: division by zero [Re: Marek_Andrzej] #233180 17/07/11 09:33 PM
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Zero is a real number, yes.

But that wasn't the original question. The original question raised by your post was this:
Does dividing zero (or any other value) by zero equal zero, one, or any other meaningful value?

The answer is simple and very well established: No. It does not.


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Re: division by zero [Re: Marek_Andrzej] #233181 17/07/11 10:12 PM
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if zero is real number than why is not the same of the real numbers because not division by zero?

Re: division by zero [Re: Marek_Andrzej] #233182 17/07/11 10:46 PM
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Lets turn the question around: Why do you think 0 / 0 = 1? You can't just say "A number divided by itself equals one, therefore the result for this calculation must be one", that's backwards. Mathematics is based on logic. A rule is made based on the facts, not the other way round. Give a mathematical proof that 0 / 0 = 1 and then you can state that any number divided by itself equals one. Until then there is no such rule or at the very least zero is an exception to that rule.

Frankly though this is all beyond the scope of this forum. This isn't the place to try and redefine fundamental tenets of mathematics, it's just a forum for an IRC client and its scripting language. Division by zero being undefined is a well established fact in maths, I'm certain there are many many places on the internet where it is explained much more clearly and in far greater detail than any answer you will get on this forum.


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Re: division by zero [Re: Marek_Andrzej] #233183 17/07/11 10:51 PM
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I don't know either world forums. I think that 0/0=1 because that logical string of R/R all number gives 1 only 0 not why?

Re: division by zero [Re: Marek_Andrzej] #233184 17/07/11 10:58 PM
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For the sake of this thread lets just say that it's because 0 is magical.


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Re: division by zero [Re: Marek_Andrzej] #233185 17/07/11 11:08 PM
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if zero is magical why is in set of real numbers

Re: division by zero [Re: Marek_Andrzej] #233186 17/07/11 11:22 PM
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Aforementioned link http://en.wikipedia.org/wiki/Division_by_zero gives several algebra/calculus (i.e. "high school level math") examples why not. While I cannot comprehend any "higher" math, they are quite plausible to me. Did you give serious thought to them, or do you just adhere to a simple mnemonic?

Re: division by zero [Re: Marek_Andrzej] #233187 17/07/11 11:29 PM
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wikipedia is not good place for this .

Re: division by zero [Re: Marek_Andrzej] #233188 17/07/11 11:33 PM
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I read the wikipedia and say that I say ,because:
if 0/0=1 then 1*0=0 then all right

Re: division by zero [Re: Marek_Andrzej] #233189 17/07/11 11:38 PM
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The "all right" part is your conclusion, not Wikipedia's. If you had read that article more carefully, you would have seen the following:
Originally Posted By: http://en.wikipedia.org/wiki/Division_by_zero#Division_as_the_inverse_of_multiplication
Again, any number multiplied by 0 is 0 and so this time every number solves the equation instead of there being a single number that can be taken as the value of 0/0.

In general, a single value can't be assigned to a fraction where the denominator is 0 so the value remains undefined (see below for other applications).


/.timerQ 1 0 echo /.timerQ 1 0 $timer(Q).com
Re: division by zero [Re: Marek_Andrzej] #233191 17/07/11 11:51 PM
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I don't write about any number but only 0

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