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Topic: The ambiguity of 0^0 on N
Replies: 106   Last Post: Sep 29, 2013 10:06 AM

 Messages: [ Previous | Next ]
 JT Posts: 1,448 Registered: 4/7/12
Re: The ambiguity of 0^0 on N
Posted: Sep 19, 2013 10:20 PM

Den fredagen den 20:e september 2013 kl. 04:10:04 UTC+2 skrev Michael F. Stemper:
> On 09/19/2013 08:44 PM, jonas.thornvall@gmail.com wrote:
>
>
>

> > I think all of this boil down to the use of our hindu arabian numbersystem with zeros.
>
>
>
> The results that the other participants in this thread are discussing
>
> are independent of representation.
>
>
>

> > And the question is can really squaring of a quantity regardless granularity give a
>
> > smaller product then the factors. We partition a the single 1 into
>
> 100/100. We now have a square of 10^2.
>

> > I now pick five elements thus 5/100 and square them thus 25/100.
>
>
>
> No, squaring 5/100 gives 25/10000. To square a number, you have to
> square both its numerator and its denominator.

No i do not square 5/100 i square 5 of a certain granularity which happen to be 1/100. You see in a bijective zeroless basesystem all factors products is always positive.

And this is how ancient people looked at fractions.

>
>

> > Oops 0,05^2 is 1/4 not 1/400,
>
>
>
> Oops! 0.05^2 is 0.0025, which can also be represented as 1/400.
>
>
>
> 0.5^2 is 1/4.
>
>
>

> > How we look at numbers depend upon the very early choices we make like representation.
>
>
>
> Nope. The results that others are discussing are representation-independent.
>
>
>
> --
>
> Michael F. Stemper
>
> If you take cranberries and stew them like applesauce they taste much
>
> more like prunes than rhubarb does.

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