User:209.178.175.191/sandbox
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Canada ((ARW))
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This barnstar, the first on Wikipedia, is given to recognise particularly fine contributions to Wikipedia, to let people know that their hard work is seen and appreciated.
This barnstar was introduced by Martin Harper on December 19, 2003 and later modified by Silsor on February 17, 2004.
| Ivy League | |
|---|---|
| Ivy League | |
| Data | |
| Established | 1954 |
| Members | 8 |
| Continent | North America |
| Country | United States |
| University type | Private |
| Other names | Ancient Eight |
For other uses, see 209.178.175.191/sandbox (disambiguation).
| Ducks | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|
 Female Mallard |
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| Scientific classification | ||||||||||
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| Subfamilies | ||||||||||
The following are useful identities:
(see arithmetic series);
(see geometric series);
(special case of the above where N1 = 0)
(special case of the above, 
and | x | < 1);-
(see binomial coefficient); 
In general, the sum of the first n mth powers is
where Bk is the kth Bernoulli number.
