Product of elements in a set

asked 2019-02-01 11:06:01 +0100

LukeC93
17 ●1 ●1 ●6

updated 2019-02-01 11:06:31 +0100

I have a set of numbers, and I would like to find the product of them. Generally speaking, the set of the numbers could be quite large, and will be complex, so I don't want to have to manually multiply them all. The example I have below only has 3 integer elements though..

v=[1,2,3]
S=Set(v)
S
c=S.cardinality()
c

My original thinking was something along the lines of:

 P = prod(s[i] for i in range(1,c))
 P

But I'm not sure how to: 1) define s[i] appropriately or 2) if this will work

I assume at some point I need to define I'm working in a complex field, but again, I'm not sure where I would need to do that?

answered 2019-02-01 11:57:44 +0100

rburing

10919 ●4 ●80 ●218 https://www.rburing.nl/

updated 2019-02-01 12:05:43 +0100

It is simply

sage: prod(S)
6

You cannot index S because it is not ordered; you would have to convert to a list first e.g. by s = list(S).

The elements of S are of type Integer and so prod will use the product of integers.

When you add to S a complex number element like 1+I which is of type Expression, the Integers will be coerced to Expressions, the product will work in the way you expect and the result will be an Expression.

edit flag offensive delete link

Comments

Wow - the one thing I didn't try, and it was the simplest thing! Thank you.

LukeC93 ( 2019-02-01 12:33:43 +0100 )edit

You can also specify a starting value for the product as an optional argument, so if you want the answer to be in CC, you could do prod(S, CC(1)).

John Palmieri ( 2019-02-01 19:30:05 +0100 )edit

add a comment

Your Answer

Please start posting anonymously - your entry will be published after you log in or create a new account.

Product of elements in a set

1 Answer

Comments

Your Answer

Question Tools

Stats

Related questions

Product of elements in a set edit

1 Answer

Comments

Your Answer

Question Tools

Stats

Related questions

Product of elements in a set