Phillip M. Feldman <[email protected]> added the comment:
Hello Mark,
This is a fair question. Suppose that I have three boxes with capacity
limits of 3, 2, and 1, and that there are three balls in total. Two of the
possible distributions are the following:
2, 0, 1
2, 1, 0
Capacity limits of the individual boxes must be observed when distributing
the balls. Even though the second and third boxes have different
capacities, we must treat the above two distributions of balls as
equivalent.
Combinatorics problems involving boxes with capacity limits arise in such
application domains as physics and reliability.
Phillip
On Mon, Sep 12, 2011 at 5:13 AM, Mark Dickinson <[email protected]>wrote:
>
> Mark Dickinson <[email protected]> added the comment:
>
> > "unlabelled balls in unlabelled boxes with capacity limits"
>
> What does this mean? If the boxes are unlabelled, how can they have
> individual capacity limits? Or do you mean just a single limit that applies
> to all boxes?
>
> ----------
> nosy: +mark.dickinson
>
> _______________________________________
> Python tracker <[email protected]>
> <http://bugs.python.org/issue12961>
> _______________________________________
>
----------
nosy: [email protected]
Added file: http://bugs.python.org/file23132/unnamed
_______________________________________
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<http://bugs.python.org/issue12961>
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Hello Mark,<br><br>This is a fair question. Suppose that I have three boxes
with capacity limits of 3, 2, and 1, and that there are three balls in total.Â
Two of the possible distributions are the following:<br><br>2, 0, 1<br>
2, 1, 0<br><br>Capacity limits of the individual boxes must be observed when
distributing the balls. Even though the second and third boxes have different
capacities, we must treat the above two distributions of balls as
equivalent.<br>
<br>Combinatorics problems involving boxes with capacity limits arise in such
application domains as physics and reliability.<br><br>Phillip<br><br><div
class="gmail_quote">On Mon, Sep 12, 2011 at 5:13 AM, Mark Dickinson <span
dir="ltr"><<a
href="mailto:[email protected]";>[email protected]</a>></span>
wrote:<br>
<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc
solid;padding-left:1ex;"><br>
Mark Dickinson <<a
href="mailto:[email protected]";>[email protected]</a>> added the
comment:<br>
<div class="im"><br>
> "unlabelled balls in unlabelled boxes with capacity limits"<br>
<br>
</div>What does this mean? Â If the boxes are unlabelled, how can they have
individual capacity limits? Â Or do you mean just a single limit that applies
to all boxes?<br>
<br>
----------<br>
nosy: +mark.dickinson<br>
<div><div></div><div class="h5"><br>
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href="mailto:[email protected]";>[email protected]</a>><br>
<<a href="http://bugs.python.org/issue12961";
target="_blank">http://bugs.python.org/issue12961</a>><br>
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</div></div></blockquote></div><br>
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