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Uncommon card · Science
Lyapunov exponent, an Uncommon card
In mathematics, the Lyapunov exponent or Lyapunov characteristic exponent of a dynamical system is a quantity that characterizes the exponential rate of separation of infinitesimally close trajectories.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 68
- DEF
- 54
- Power
- 122
- Wikipedia reads a year
- 60,000
Power 122 (ATK + DEF): stronger than 60 % of WikiCards cards.
Lyapunov exponent quiz: 3 questions
Three questions on the Lyapunov exponent card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
The rate of ______ can be different for different orientations of initial separation vector.
Answer
separation. The rate of separation can be different for different orientations of initial separation vector. From the Lyapunov exponent article on Wikipedia.
Which of these cards hits hardest (highest ATK)?
Answer
Jerome Bruner. Jerome Bruner 71 · Lyapunov exponent 68 · Hydrogen spectral series 64 · Bichon 54 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.
- Quantitatively, two trajectories in phase space with initial separation vector δ 0 diverge at a rate given by | δ | ≈ e λ t | δ 0 | where λ is the Lyapunov exponent.
- The rate of separation can be different for different orientations of initial separation vector.
- Thus, there is a spectrum of Lyapunov exponents, equal in number to the dimensionality of the phase space.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Lyapunov exponent article was read about 60,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 68 and blocks with 54: each hit it takes is cut by 22 %.
How to get Lyapunov exponent
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, Lyapunov exponent (revision), CC BY-SA 4.0. Photo : Juan el Demografo, CC0, Wikimedia Commons.