Dear all, I would really appreciate if somebody can help me to understand what 
does the phrase "Vectorize your function" mean? And what is the job of 
Vectorize() function in doing that? I have read many threads where experts 
suggest to Vectorize the function, which will speed up entire calculation (and 
more elegant ofcourse.)

I used to think that vectorizing function means, to create a function such a 
way so that if input(s) are vector then this function will also return a vector 
output (without having any extra effort like use of 'for' loop etc.) Is this 
understanding correct?

Here I have tried 2 essentially similar functions:

> fn1 <- function(x,y,z) return(x+y+z)
> fn2 <- Vectorize(function(x,y,z) return(x+y+z), SIMPLIFY=TRUE)
> fn1(1:3, 4:6,5)
[1] 10 12 14
> fn2(1:3, 4:6,5)
[1] 10 12 14


You see that, fn1() and fn2() is giving same answer (vectorized?) despite of 
the fact that fn1() is not wrapped within Vectorize() function. Therefore I 
want to know: what additional thing this Vectorize() function brings on the 
table?

Thanks for your time.

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