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WikiCards · Card list · Science cards · Riemann integral
Uncommon card · Science
Riemann integral, an Uncommon card
In real analysis, the Riemann integral is a rigorous definition of the integral of a function on an interval.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 74
- DEF
- 51
- Power
- 125
- Wikipedia reads a year
- 77,000
Power 125 (ATK + DEF): stronger than 60 % of WikiCards cards.
Riemann integral quiz: 3 questions
Three questions on the Riemann integral card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
It defines the integral by approximating the region under the graph of a function by finite sums of areas of ______ rectangles.
Answer
vertical. It defines the integral by approximating the region under the graph of a function by finite sums of areas of vertical rectangles. From the Riemann integral article on Wikipedia.
Which of these cards hits hardest (highest ATK)?
Answer
Riemann integral. Riemann integral 74 · Duke of Burgundy 70 · Jethro Tull 67 · Empennage 62 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 defines the integral by approximating the region under the graph of a function by finite sums of areas of vertical rectangles.
- For suitable functions, including every continuous function on a closed bounded interval, these Riemann sums approach a single limiting value as the partitions of the interval become finer.
- That limiting value defines the integral, and Riemann sums that are suitably close to the limit can be used as numerical approximations.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Riemann integral article was read about 77,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 74 and blocks with 51: each hit it takes is cut by 20 %.
How to get Riemann integral
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 Riemann integral in the power ranking, all domains together.
- ClavichordUncommon · Arts · ATK 66 DEF 59
- HexactinellidUncommon · Nature · ATK 65 DEF 60
- Trafalgar-class submarineUncommon · Science · ATK 66 DEF 59
- Sébastien ChabalUncommon · Society · ATK 71 DEF 54
- EmpennageUncommon · Science · ATK 62 DEF 63
- Jeong Yun-hoUncommon · Arts · ATK 67 DEF 58
Card lists
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Credits
Text : Wikipedia, Riemann integral (revision), CC BY-SA 4.0. Photo : Brad219, CC0, Wikimedia Commons.
