6.3.29 Applying a bivariate function to the elements of two lists
The
zip
command applies a bivariate function to the elements of two lists.
zip
takes three arguments:
f
, a function of two variables.
L
1
and
L
2
, two lists of the same size
n
.
zip(
f
,
L
1
,
L
2
)
returns a list of size
n
whose
k
th element is
f
applied to the
k
th elements of
L
1
and
L
2
.
Examples
zip
('
sum
',[
a
,
b
,
c
,
d
],[1,2,3,4])
⎡
⎣
a
+1,
b
+2,
c
+3,
d
+4
⎤
⎦
zip
((
x
,
y
)->
x
^2+
y
^2,[4,2,1],[3,5,1])
or:
f
:=(
x
,
y
)->
x
^2+
y
^2:;
zip
(
f
,[4,2,1],[3,5,1])
⎡
⎣
25,29,2
⎤
⎦
f
:=(
x
,
y
)->[
x
^2+
y
^2,
x
+
y
]:;
zip
(
f
,[4,2,1],[3,5,1])
⎡
⎢
⎢
⎣
25
7
29
7
2
2
⎤
⎥
⎥
⎦
