On 09/19/2013 08:44 PM, firstname.lastname@example.org 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.
> 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.