WikiCards
Play on iPhone nowFree in Safari. Add it to your Home Screen.Play
WikiCards · Card list · Science cards · Jensen's inequality
Uncommon card · Science
Jensen's inequality, an Uncommon card
In mathematics, Jensen's inequality, named after the Danish mathematician Johan Jensen, relates the value of a convex function of an integral to the integral of the convex function.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 70
- DEF
- 44
- Power
- 114
- Wikipedia reads a year
- 190,000
Power 114 (ATK + DEF): stronger than 55 % of WikiCards cards.
Jensen's inequality quiz: 3 questions
Three questions on the Jensen's inequality card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
Given its ______, the inequality appears in many forms depending on the context, some of which are presented below.
Answer
generality. Given its generality, the inequality appears in many forms depending on the context, some of which are presented below. From the Jensen's inequality article on Wikipedia.
Which of these cards hits hardest (highest ATK)?
Answer
Jensen's inequality. Jensen's inequality 70 · Nucleic acid 67 · NGC 5238 64 · Filamin-A 57 ATK in WikiCards.
Which of these Wikipedia articles is read the most in a year?
Answer
Jensen's inequality. Jensen's inequality 190,000 · Boiling point 140,000 · Filamin-A 730 · Mir-375 540 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.
- It was proved by Jensen in 1906, building on an earlier proof of the same inequality for doubly-differentiable functions by Otto Hölder in 1889.
- Given its generality, the inequality appears in many forms depending on the context, some of which are presented below.
- In its simplest form the inequality states that the convex transformation of a mean is less than or equal to the mean applied after convex transformation.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Jensen's inequality article was read about 190,000 times in a year. ATK comes from the length of the article and DEF from its quality, so this card hits with 70 and blocks with 44: each hit it takes is cut by 18 %.
How to get Jensen's inequality
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 Jensen's inequality in the power ranking, all domains together.
- ShikokuRare · Nature · ATK 67 DEF 47
- MarjoramUncommon · Nature · ATK 59 DEF 55
- Armoured personnel carrierUncommon · History · ATK 62 DEF 52
- Ryūnosuke AkutagawaUncommon · Arts · ATK 73 DEF 41
- Boiling pointUncommon · Science · ATK 64 DEF 50
- California rollUncommon · Society · ATK 64 DEF 50
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, Jensen's inequality (revision), CC BY-SA 4.0. Photo : Eli Osherovich, CC BY-SA 3.0, Wikimedia Commons.
