[R] taylor expansions with real vectors

bilelsan bilel.sanhaji at univ-amu.fr
Thu Jul 19 03:02:27 CEST 2012

Leave the Taylor expansion aside, how is it possible to compute with [R]:
f(e) = e1 + e2 #for r = 1 
+ 1/2!*e1^2 + 1/2!*e2^2 + 1/2!*e1*e2 #for r = 2, excluding e2*e1 
+ 1/3!*e1^3 + 1/3!*e1^2*e2 + 1/3!*e2^2*e1 + 1/3!*e2^3 #for r = 3, excluding
e2*e1^2 and e1*e2^2 
+ ... #for r = k
In other words, I am trying to figure out how to compute all the possible
combinations as exposed above.

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