On 01/09/2015 02:37 AM, Chris Angelico wrote:
On Fri, Jan 9, 2015 at 6:28 PM, Marko Rauhamaa <ma...@pacujo.net> wrote:
Devin Jeanpierre <jeanpierr...@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)
Then,
lim y(a, x) = 0
x -> 0+
and:
lim[x -> 0+] x**y(a, x) = a
For example,
>>> a = 0.5
>>> x = 1e-100
>>> y = math.log(a, x)
>>> y
0.0030102999566398118
>>> x**y
0.5
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.
Roughly speaking, the idea is to have a relationship between x and y,
such that even though they each get arbitrarily close to zero, the
formula x**y is a constant 5.
So he plugged in 1e-100. But if you plugged in 1e-500000000 and could
handle the precision, the result x**y would still be 0.5
--
DaveA
--
https://mail.python.org/mailman/listinfo/python-list
