Cross Concatenate Elements of 2 Vectors to Produce a Third

Question

I have 2 vectors and want to distribute one across the other to form a third vector like:

V1 = (a,b,c)
V2 = (d,e,f)

Result:

V3          


        

Answer 1

You do not make clear what operation ab means. I'll assume here you want to multiply two real numbers.

In Python, you can use a comprehension. Here a complete code snippet.

v1 = (2, 3, 5)
v2 = (7, 11, 13)
v3 = tuple(x * y for x in v1 for y in v2)

The value for v3 is then

(14, 22, 26, 21, 33, 39, 35, 55, 65)

as wanted. If you want a Python list, the code looks easier: use

v3 = [x * y for x in v1 for y in v2]

It will be obvious how to change the operation to concatenation or anything else desired. Here is sample code for concatenation of strings:

v1 = ('a', 'b', 'c')
v2 = ('d', 'e', 'f')
v3 = tuple(x + y for x in v1 for y in v2)

which results in

('ad', 'ae', 'af', 'bd', 'be', 'bf', 'cd', 'ce', 'cf')

You could also use product() from the itertools module (which I used in the first version of this answer) but the above seems easier.