Hello,
>> Hi all,
>>
>> In sage, as of 4.1.1, binomial( -7, 1 ) returns -7.  As I understand the
>> definition of binomial, this should be 0, since there is no set with -7
>> elements.
>>     
Sage (and others Computer Algebra System) gives 0 for binomial (n>=0, 
-1)  or binomial(n,k>n).

So

"sum from k=-infty to +infty of binomial (n, k)" = 2^n.

The first n is the cardinal of the set E, and the second k is the 
cardinal of the subset.
I discover today the binomial(n,k) coefficient for n < 0.

F.



--~--~---------~--~----~------------~-------~--~----~
To post to this group, send email to sage-support@googlegroups.com
To unsubscribe from this group, send email to 
sage-support-unsubscr...@googlegroups.com
For more options, visit this group at 
http://groups.google.com/group/sage-support
URL: http://www.sagemath.org
-~----------~----~----~----~------~----~------~--~---

Reply via email to