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Uncommon card · Science
Lie group, an Uncommon card
In mathematics, a Lie group is a group that is also a differentiable manifold, such that group multiplication and taking inverses are both differentiable.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 80
- DEF
- 62
- Power
- 142
- Wikipedia reads a year
- 140,000
Power 142 (ATK + DEF): stronger than 75 % of WikiCards cards.
Lie group quiz: 3 questions
Three questions on the Lie group card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
If the ______ and taking of inverses are smooth as well, one obtains a Lie group.
Answer
multiplication. If the multiplication and taking of inverses are smooth as well, one obtains a Lie group. From the Lie group article on Wikipedia.
Which of these cards hits hardest (highest ATK)?
Answer
Lie group. Lie group 80 · Aryabhata 75 · Paper 72 · Carom billiards 68 ATK in WikiCards.
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.
- A manifold is a space that locally resembles Euclidean space, whereas groups define the abstract concept of a binary operation along with the additional properties it must have to be thought of as a "transformation" in the abstract sense, for instance multiplication and the taking of inverses, or equivalently, the concept of addition and subtraction.
- Combining these two ideas, one obtains a continuous group where multiplying points and their inverses is continuous.
- If the multiplication and taking of inverses are smooth as well, one obtains a Lie group.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Lie group article was read about 140,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 80 and blocks with 62: each hit it takes is cut by 25 %.
How to get Lie group
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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Card lists
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Credits
Text : Wikipedia, Lie group (revision), CC BY-SA 4.0. Photo : Jgmoxness, CC BY-SA 3.0, Wikimedia Commons.


