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WikiCards · Card list · Science cards · Ultrafilter
Uncommon card · Science
Ultrafilter, an Uncommon card
In the mathematical field of order theory, an ultrafilter on a given partially ordered set P {\textstyle P} is a certain subset of P, namely a maximal filter on P, that is, a proper filter on P {\textstyle P} that cannot be enlarged to a bigger proper filter on P.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 65
- DEF
- 36
- Power
- 101
- Wikipedia reads a year
- 21,000
Power 101 (ATK + DEF): stronger than 40 % of WikiCards cards.
The facts on the card
The card carries these facts from its Wikipedia article.
- An ultrafilter on a set X may be considered as a finitely additive 0-1-valued measure on P.
- In this view, every subset of X is either considered "almost everything" or "almost nothing", depending on whether it belongs to the given ultrafilter or not.
- Ultrafilters have many applications in set theory, model theory, topology and combinatorics.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Ultrafilter article was read about 21,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 65 and blocks with 36: each hit it takes is cut by 14 %.
How to get Ultrafilter
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.
More Science cards
Cards close in power
The cards just above and just below Ultrafilter in the power ranking, all domains together.
- Robert KeohaneUncommon · History · ATK 63 DEF 38
- Champion Jack DupreeUncommon · Arts · ATK 62 DEF 39
- Marion DonovanUncommon · Science · ATK 58 DEF 43
- André MauroisUncommon · History · ATK 64 DEF 37
- Andy SelvaUncommon · Society · ATK 62 DEF 39
- Elias HrawiUncommon · History · ATK 59 DEF 42
Card lists
- Wikipedia quizNew questions every day
- All cards from A to ZEvery card, by name
- Science cards
- Legendary cards
- Tier listS and A tiers by power (ATK + DEF)
Credits
Text : Wikipedia, Ultrafilter (revision), CC BY-SA 4.0. Photo : Jochen Burghardt, CC BY-SA 4.0, Wikimedia Commons.
