Decimals and other numbers
rosuav at gmail.com
Fri Jan 9 08:37:45 CET 2015
On Fri, Jan 9, 2015 at 6:28 PM, Marko Rauhamaa <marko at pacujo.net> wrote:
> Devin Jeanpierre <jeanpierreda at gmail.com>:
>> If 0**0 is defined, it must be 1.
> You can "justify" any value a within [0, 1]. For example, choose
> y(a, x) = log(a, x)
> lim y(a, x) = 0
> x -> 0+
> lim[x -> 0+] x**y(a, x) = a
> For example,
> >>> a = 0.5
> >>> x = 1e-100
> >>> y = math.log(a, x)
> >>> y
> >>> x**y
I'm not a mathematical expert, so I don't quite 'get' this. How does
this justify 0**0 being equal to 0.5?
I know how to justify 0 and 1, and NaN (on the basis that both 0 and 1
can be justified). I don't follow how other values can be used.
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