WikiCards · Card list · Science cards · Holomorphic function
Uncommon card · Science
Holomorphic function, an Uncommon card
In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood of each point in a domain in complex coordinate space C n .
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 67
- DEF
- 46
- Power
- 113
- Wikipedia reads a year
- 100,000
Power 113 (ATK + DEF): stronger than 50 % of WikiCards cards.
The facts on the card
The card carries these facts from its Wikipedia article.
- The existence of a complex derivative in a neighbourhood is a very strong condition: It implies that a holomorphic function is infinitely differentiable and locally equal to its own Taylor series.
- Holomorphic functions are the central objects of study in complex analysis.
- Though the term analytic function is often used interchangeably with "holomorphic function", the word "analytic" is defined in a broader sense to denote any function that can be written as a convergent power series in a neighbourhood of each point in its domain.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Holomorphic function article was read about 100,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 67 and blocks with 46: each hit it takes is cut by 18 %.
How to get Holomorphic 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, Holomorphic function (revision), CC BY-SA 4.0. Photo : Geek3, CC BY-SA 3.0, Wikimedia Commons.
