I need to define the function $w(x,n)$. $x$ is real ($0 < x < 1$), N is an integer. $w(x,1) = x^x$; $w(x,n) = x^{w(x,n-1)}$
I tried the following, the function definition didn't send an error message but the plot call did and failed:
def w(x,n):
if n==1:
return x^x
else:
return x^(w(x,n-1))
plot (w(x,n), (x, 0.01, 0.99) (n, 1, 10))
There are two issues here. First, n cannot have a continuous range as the function defined only for integer n. Second, plugging in a particular value of n needs be done via functools.partial. Here is a working example:
import functools
def w(x,n):
if n==1:
return x^x
else:
return x^(w(x,n-1))
plot([functools.partial(w,n=n0) for n0 in (1..10)], (x, 0.01, 0.99))
Asked: 2023-02-16 17:47:24 +0100
Seen: 190 times
Last updated: Feb 22 '23
Copyright Sage, 2010. Some rights reserved under creative commons license. Content on this site is licensed under a Creative Commons Attribution Share Alike 3.0 license.
