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WikiCards · Card list · Science cards · Trinomial expansion
Common card · Science
Trinomial expansion, a Common card
In mathematics, a trinomial expansion is the expansion of a power of a sum of three terms into monomials.
- Rarity
- Common
- Domain
- Science
- ATK
- 42
- DEF
- 19
- Power
- 61
- Wikipedia reads a year
- 8,300
Power 61 (ATK + DEF): stronger than 5 % of WikiCards cards.
Trinomial expansion quiz: 3 questions
Three questions on the Trinomial expansion card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
The trinomial coefficients are given by = n ! i ! j ! k !. This formula is a special case of the ______ formula for m = 3.
Answer
multinomial. The trinomial coefficients are given by = n ! i ! j ! k !. This formula is a special case of the multinomial formula for m = 3. From the Trinomial expansion article on Wikipedia.
Which of these cards hits hardest (highest ATK)?
Answer
Nounkounkan. Nounkounkan 45 · Trinomial expansion 42 · List of Stalin's residences 35 · Zinc finger protein 438 26 ATK in WikiCards.
Which of these Wikipedia articles is read the most in a year?
Answer
Trinomial expansion. Trinomial expansion 8,300 · 2008 VL14 160 · Nounkounkan 120 · Joseph Mrakh 93 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 expansion is given by n = ∑ i, j, k i + j + k = n a i b j c k, where n is a nonnegative integer and the sum is taken over all combinations of nonnegative indices i, j, and k such that i + j + k = n.
- The trinomial coefficients are given by = n ! i ! j ! k !. This formula is a special case of the multinomial formula for m = 3.
- The coefficients can be defined with a generalization of Pascal's triangle to three dimensions, called Pascal's pyramid or Pascal's tetrahedron.
Why it is Common
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Trinomial expansion article was read about 8,300 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 42 and blocks with 19: each hit it takes is cut by 8 %.
How to get Trinomial expansion
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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The cards just above and just below Trinomial expansion in the power ranking, all domains together.
- List of Alaska state prisonsCommon · Society · ATK 44 DEF 17
- Republic of ZoutpansbergCommon · History · ATK 43 DEF 18
- Dario DuriganCommon · Society · ATK 44 DEF 17
- Savage 1861 NavyCommon · History · ATK 43 DEF 18
- Sven MartinekCommon · Arts · ATK 48 DEF 13
- General Intelligence ServiceCommon · History · ATK 42 DEF 19
Card lists
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Credits
Text : Wikipedia, Trinomial expansion (revision), CC BY-SA 4.0. Photo : Cmglee, CC BY-SA 4.0, Wikimedia Commons.
