recursion - Creating recursively a function gaining variables each iteration in Python -


i want create function foo() gives output function. output function sum of exponentials (or whatever) free parameter ai each time. output function should have parameters ai plus free variable.

example:

calling foo(3) should output function equivalent lambda t,a1,a2,a3: exp(a1*t)+exp(a2*t)+exp(a3*t)

i tried programm that:

def foo(n):   fh = lambda t,a1:exp(a1*t)   def fg(j):     if (j==1):       return fh     else:       return lambda t,a1,a2:fg(j-1)(t,a1)+fh(t,a2)   return fg(n)

but wrong. remarked foo(n) can obtained via recusion "doing" lambda t,a1,...,a(n): foo(n-1)(t,a1,...,a(n-1))+exp(a(n)*t) iteration, didn't manage in simple way...

thanks !

you don't need recursion. can define function, takes arbitrary number of arguments:

def f(t, *a):     return sum(exp(x * t) x in a)

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