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WikiCards · Card list · Science cards · Integer partition
Uncommon card · Science
Integer partition, an Uncommon card
In number theory and combinatorics, a partition of a non-negative integer n, also called an integer partition, is a way of writing n as a sum of positive integers.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 69
- DEF
- 52
- Power
- 121
- Wikipedia reads a year
- 58,000
Power 121 (ATK + DEF): stronger than 60 % of WikiCards cards.
The facts on the card
The card carries these facts from its Wikipedia article.
- Two sums that differ only in the order of their summands are considered the same partition.
- For example, 4 can be partitioned in five distinct ways: 4 3 + 1 2 + 2 2 + 1 + 1 1 + 1 + 1 + 1 The only partition of zero is the empty sum, having no parts.
- The order-dependent composition 1 + 3 is the same partition as 3 + 1, and the two distinct compositions 1 + 2 + 1 and 1 + 1 + 2 represent the same partition as 2 + 1 + 1.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Integer partition article was read about 58,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 69 and blocks with 52: each hit it takes is cut by 21 %.
How to get Integer partition
Open packs. Each pack holds five cards drawn from real Wikipedia articles, the rarest last, and the fifth card is always Rare or better. The odds are shown in the game. A free pack arrives every hour and two can wait, and the Coins you win in duels buy more packs.
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Credits
Text : Wikipedia, Integer partition (revision), CC BY-SA 4.0. Photo : R. A. Nonenmacher, CC BY-SA 4.0, Wikimedia Commons.
