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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 11:01 PM

Den fredagen den 20:e september 2013 kl. 04:20:23 UTC+2 skrev jonas.t...@gmail.com:
> Den fredagen den 20:e september 2013 kl. 04:10:04 UTC+2 skrev Michael F. Stemper:
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> > On 09/19/2013 08:44 PM, jonas.thornvall@gmail.com wrote:
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> > > I think all of this boil down to the use of our hindu arabian numbersystem with zeros.
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> > The results that the other participants in this thread are discussing
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> > are independent of representation.
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> > > And the question is can really squaring of a quantity regardless granularity give a
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> > > smaller product then the factors. We partition a the single 1 into
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> > 100/100. We now have a square of 10^2.
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> > > I now pick five elements thus 5/100 and square them thus 25/100.
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> > No, squaring 5/100 gives 25/10000. To square a number, you have to
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> > square both its numerator and its denominator.
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> 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.
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> And this is how ancient people looked at fractions.
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> > > Oops 0,05^2 is 1/4 not 1/400,
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> > Oops! 0.05^2 is 0.0025, which can also be represented as 1/400.
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> > 0.5^2 is 1/4.
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> > > How we look at numbers depend upon the very early choices we make like representation.
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> > Nope. The results that others are discussing are representation-independent.
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> > --
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> > Michael F. Stemper
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> > If you take cranberries and stew them like applesauce they taste much
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> > more like prunes than rhubarb does.

Similarly we could partition 10 000 into a squares/chunke of 100.
Now we have 100 of those, we could write the representation of these chunck as 1/100 chunk of total square of 100^2.

We now pick 5 of those chunks 5 and square them give us 25 chunks a 100 and although the chunk is just 1/100 of 10 000 we have a positive product for the factors.

There is something to learn here in arithmetic size, magnitude, granularity do not affect the rules, why you may ask, it is because behind arithmetic is geometry, but if you build bad arithmetic you will know it because your geomtry will be fucket up.

END OF STORY

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