COBs

A COB is an acronym for "combination product bag", where a bag, also
called a multiset, is a set with repetition. An example showing COBs
might be interesting is the product of any two members of the bag
<1,3,3,5> with itself. This gives the bag <3,3,5,9,15,15>, which
reduced to a set becomes {3,5,9,15}, which is an ASS. I'd call either
one the COB, unless it turns out to be important to iterate them.

--- In tuning-math@yahoogroups.com, "Gene Ward Smith" <gwsmith@s...>
wrote:
> A COB is an acronym for "combination product bag"...

Because I can't pronounce "CPB", but I'm open to objections and
alteratives.

Gene,

Too easy! Repeat after me: See- Pee-Bee .... :-)

No, really, COB is fine ...

Yahya

-----Original Message-----

> A COB is an acronym for "combination product bag"...

Because I can't pronounce "CPB", but I'm open to objections and
alteratives.

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Gene,

... "the product of any two" _distinct_ "members of the bag <1,3,3,5>
with itself ... gives the bag <3,3,5,9,15,15>".

Did you mean _distinct_ or not? If not, then 1 is also in the product
(COB).

Yahya

-----Original Message-----

A COB is an acronym for "combination product bag", where a bag, also
called a multiset, is a set with repetition. An example showing COBs
might be interesting is the product of any two members of the bag
<1,3,3,5> with itself. This gives the bag <3,3,5,9,15,15>, which
reduced to a set becomes {3,5,9,15}, which is an ASS. I'd call either
one the COB, unless it turns out to be important to iterate them.

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No virus found in this outgoing message.
Checked by AVG Anti-Virus.
Version: 7.0.322 / Virus Database: 266.11.16 - Release Date: 24/5/05

--- In tuning-math@yahoogroups.com, "Yahya Abdal-Aziz" <yahya@m...> wrote:
>
> Gene,
>
> ... "the product of any two" _distinct_ "members of the bag <1,3,3,5>
> with itself ... gives the bag <3,3,5,9,15,15>".
>
> Did you mean _distinct_ or not? If not, then 1 is also in the product
> (COB).

Right; I should have said distinct. I'm just trying to do the same
thing as with combination product sets.