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Uncommon card · Science
Stokes' theorem, an Uncommon card
Stokes' theorem, also known as the Kelvin–Stokes theorem, is a theorem in vector calculus that relates the behavior of a vector field along the edge of a surface to the behavior of its curl on the surface itself.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 72
- DEF
- 46
- Power
- 118
- Wikipedia reads a year
- 140,000
Power 118 (ATK + DEF): stronger than 55 % of WikiCards cards.
Stokes' theorem quiz: 3 questions
Three questions on the Stokes' theorem card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
Informally, the theorem says that adding up the local rotation of a vector field across a ______ gives the net circulation around its edge.
Answer
surface. Informally, the theorem says that adding up the local rotation of a vector field across a surface gives the net circulation around its edge. From the Stokes' theorem article on Wikipedia.
Which of these cards hits hardest (highest ATK)?
Answer
Stokes' theorem. Stokes' theorem 72 · Financial services 67 · Ether 64 · Chartreuse 60 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.
- In its usual three-dimensional form, it says that the total circulation of a vector field around a closed curve is equal to the total curl of the field through a surface bounded by that curve.
- If Σ is an oriented surface with boundary ∂Σ, Stokes' theorem is commonly written as ∮ ∂ Σ F ⋅ d r = ∬ Σ ⋅ n d S. Here the left side is the line integral of the vector field around the boundary curve, while the right side is the surface integral of its curl over the surface.
- Informally, the theorem says that adding up the local rotation of a vector field across a surface gives the net circulation around its edge.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Stokes' theorem 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 72 and blocks with 46: each hit it takes is cut by 18 %.
How to get Stokes' theorem
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 Stokes' theorem in the power ranking, all domains together.
- Inge MorathUncommon · Arts · ATK 69 DEF 49
- Paul BocuseUncommon · History · ATK 61 DEF 57
- Shantanu NarayenUncommon · Society · ATK 64 DEF 54
- AukUncommon · Nature · ATK 65 DEF 53
- DJ QuikUncommon · Arts · ATK 69 DEF 49
- HoaxUncommon · Society · ATK 68 DEF 50
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Credits
Text : Wikipedia, Stokes' theorem (revision), CC BY-SA 4.0. Photo : Cronholm144, CC BY-SA 3.0, Wikimedia Commons.
