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Uncommon card · Science
Galois theory, an Uncommon card
In mathematics, Galois theory, originally introduced by Évariste Galois, provides a connection between field theory and group theory.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 71
- DEF
- 38
- Power
- 109
- Wikipedia reads a year
- 110,000
Power 109 (ATK + DEF): stronger than 60 % of WikiCards cards.
Galois theory quiz: 3 questions
Three questions on the Galois theory card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
Galois introduced the subject for studying roots of ______.
Answer
polynomials. Galois introduced the subject for studying roots of polynomials. From the Galois theory article on Wikipedia.
Which of these cards hits hardest (highest ATK)?
Answer
Galois theory. Galois theory 71 · Ohm 68 · Extortion 65 · Brie 61 ATK in WikiCards.
Which of these Wikipedia articles is read the most in a year?
Answer
Extortion. Extortion 230,000 · Ohm 180,000 · Galois theory 110,000 · Carbide 64,000 Wikipedia reads over a year.
In a duel, each round asks a question like these about the opposing card, with 15 seconds to answer.
The facts on the card
The card carries these facts from its Wikipedia article.
- This connection, the fundamental theorem of Galois theory, allows reducing certain problems in field theory to group theory, which makes them simpler and easier to understand.
- Galois introduced the subject for studying roots of polynomials.
- This allowed him to characterize the polynomial equations that are solvable by radicals in terms of properties of the permutation group of their roots, an equation is by definition solvable by radicals if its roots may be expressed by a formula involving only integers, nth roots, and the four basic arithmetic operations.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Galois theory article was read about 110,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 71 and blocks with 38: each hit it takes is cut by 15 %.
How to get Galois theory
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 Galois theory in the power ranking, all domains together.
- Bay of BiscayUncommon · Nature · ATK 62 DEF 47
- Charles PerraultUncommon · Arts · ATK 66 DEF 43
- BrieUncommon · Society · ATK 61 DEF 48
- AriaUncommon · Arts · ATK 62 DEF 47
- Triple pointUncommon · Science · ATK 63 DEF 46
- PriceUncommon · Science · ATK 65 DEF 44
Card lists
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Credits
Text : Wikipedia, Galois theory (revision), CC BY-SA 4.0. Photo : Self, CC BY-SA 3.0, Wikimedia Commons.