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WikiCards · Card list · Science cards · Euler's totient function
Uncommon card · Science
Euler's totient function, an Uncommon card
In number theory, Euler's totient function counts the positive integers up to a given integer n that are relatively prime to n.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 75
- DEF
- 68
- Power
- 143
- Wikipedia reads a year
- 150,000
Power 143 (ATK + DEF): stronger than 70 % of WikiCards cards.
Euler's totient function quiz: 3 questions
Three questions on the Euler's totient function card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
The ______ k of this form are sometimes referred to as totatives of n.
Answer
integers. The integers k of this form are sometimes referred to as totatives of n. From the Euler's totient function article on Wikipedia.
Which of these cards hits hardest (highest ATK)?
Answer
Month. Month 81 · Chinese numerals 78 · Euler's totient function 75 · Inch 71 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.
- It is written using the Greek letter phi as φ or ϕ, and may also be called Euler's phi function.
- In other words, it is the number of integers k in the range 1 ≤ k ≤ n for which the greatest common divisor gcd is equal to 1.
- The integers k of this form are sometimes referred to as totatives of n.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Euler's totient function article was read about 150,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 75 and blocks with 68: each hit it takes is cut by 27 %.
How to get Euler's totient 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.
More Science cards
Cards close in power
The cards just above and just below Euler's totient function in the power ranking, all domains together.
- Pearl BaileyUncommon · Arts · ATK 69 DEF 74
- BasilicataUncommon · Society · ATK 77 DEF 66
- DefecationUncommon · Nature · ATK 70 DEF 73
- Chesapeake Bay Bridge–TunnelUncommon · Society · ATK 75 DEF 68
- Erik EriksonUncommon · Science · ATK 77 DEF 66
- MonthUncommon · Nature · ATK 81 DEF 65
Card lists
- Wikipedia quizNew questions every day
- All cards from A to ZEvery card, by name
- Science cards
- Legendary cards
- Tier listS and A tiers by power (ATK + DEF)
Credits
Text : Wikipedia, Euler's totient function (revision), CC BY-SA 4.0. Photo : Pietro Battiston ( it:User:Toobaz ), CC BY-SA 4.0, Wikimedia Commons.
