WikiCards · Card list · Science cards · Differentiable function
Uncommon card · Science
Differentiable function, an Uncommon card
In mathematical analysis, a real or complex function of a single variable is differentiable if its derivative exists at each point in its domain.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 63
- DEF
- 37
- Power
- 100
- Wikipedia reads a year
- 56,000
Power 100 (ATK + DEF): stronger than 55 % of WikiCards cards.
Differentiable function quiz: 3 questions
Three questions on the Differentiable function card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Which of these cards hits hardest (highest ATK)?
Answer
Luminosity. Luminosity 66 · Differentiable function 63 · Magnetic tape 56 · Sister 50 ATK in WikiCards.
Which of these Wikipedia articles is read the most in a year?
Answer
Boltzmann distribution. Boltzmann distribution 100,000 · Cauchy sequence 78,000 · Differentiable function 56,000 · Stratigraphy 43,000 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.
- For real-valued functions of a real variable, the graph of a differentiable function has a non-vertical tangent line at each interior point in its domain.
- A differentiable function is locally approximable by a linear function at each interior point, and does not contain any break, angle, or cusp.
- If x 0 is an interior point in the domain of a real function f, then f is said to be differentiable at x 0 if there exists an L ∈ R such that for all ϵ > 0, there exists a δ > 0 such that for all x ∈ ∪, f − f x − x 0 ∈.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Differentiable function article was read about 56,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 63 and blocks with 37: each hit it takes is cut by 15 %.
How to get Differentiable function
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, Differentiable function (revision), CC BY-SA 4.0. Photo : N.Mori, Public domain, Wikimedia Commons.
