Function \ VisibleList -- apply a function to each member of a list

Function \ VisibleList -- apply a function to each member of a list

Synopsis:

Operator: \ -- a binary operator

Input:

an instance of class Function.

an instance of class VisibleList.

Output:

an instance of class VisibleList.

f \ w -- apply the function f to each member of the list or sequence w returning a list or sequence containing the results. The same as apply(w,f).

This operator is right associative, which means that g \ f \ w is interpreted as meaning g \ (f \ w).

i1 : (j -> j^2) \ (i -> i+1) \ {1,2,3}



o1 = {4, 9, 16}



o1 : List

The precendence is lower than that of @@. Hence, the following two examples yield the same result.

i2 : sin \ sin \ {1,2,3}



o2 = {0.745624, 0.789072, 0.140652}



o2 : List

i3 : sin @@ sin \ {1,2,3}



o3 = {0.745624, 0.789072, 0.140652}



o3 : List

See also:

apply -- apply a function to each element

@@ -- a binary operator

{...} / Function -- a binary operator, usually used for division

Code:

     -- ../../../Macaulay2/m2/classes.m2:68
     Function \ VisibleList := VisibleList => (f,v) -> apply(v,f)