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Newton's method, a Rare card
In numerical analysis, the Newton–Raphson method, also known simply as Newton's method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm which produces successively better approximations to the roots of a real-valued function.
- Rarity
- Rare
- Domain
- Science
- ATK
- 81
- DEF
- 71
- Power
- 152
- Wikipedia reads a year
- 320,000
Power 152 (ATK + DEF): stronger than 75 % of WikiCards cards.
Newton's method quiz: 3 questions
Three questions on the Newton's method card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
The most basic version takes a real-valued function f, its ______ f′, and an initial guess x0 for a root of f.
Answer
derivative. The most basic version takes a real-valued function f, its derivative f′, and an initial guess x0 for a root of f. From the Newton's method article on Wikipedia.
Which of these Wikipedia articles is read the most in a year?
Answer
Barack Obama Sr.. Barack Obama Sr. 680,000 · Gold Ship 460,000 · Newton's method 320,000 · Printed circuit board 230,000 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.
- The most basic version takes a real-valued function f, its derivative f′, and an initial guess x0 for a root of f.
- If f satisfies certain assumptions and the initial guess is close, then x 1 = x 0 − f f ′ is a better approximation of the root than x0.
- Geometrically, is the x-intercept of the tangent to the graph of f at: that is, the improved guess, x1, is the unique root of the linear approximation of f at the initial guess, x0.
Why it is Rare
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Newton's method article was read about 320,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 81 and blocks with 71: each hit it takes is cut by 28 %.
How to get Newton's method
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, Newton's method (revision), CC BY-SA 4.0. Photo : Cham at French Wikipedia, Public domain, Wikimedia Commons.


