Dear All,
I would appreciate if someone could give any hint/ provide a solution if
it's possible in R to create such a function where many similar
mathematical expressions organized in a given way.
For example, to create a function: f(x)=(...(((x^x)^x)^x)...^x)^x (x is
encountered n times). Or another example:
g(x)=sin(x)*sin(x^2)*sin(x^3)*...*sin(x^n).
When we are interested in a computation of any specific value of that
function given a particular value of x, there is no any issue, and
corresponding function value is computed in a straightforward way. For
example of f(x) defined above:
f<-function(x, n) {
p<-x
for (i in 1:n) {
p<-p^x
}
print(p)
}
The issue is when we want to use a function "in general" with no particular
x given.
The whole question can be converted to a very short question (solution for
which one is assumed to be a solution for primary question):
- to integrate a function f(x)=(...(((x^x)^x)^x)...^x)^x (x is encountered
n times) on the interval (0,1).
Thanks a lot in advance for any ideas.
I really believe that this doable with R syntax.
Best Regards,
Yuriy
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