WikiCards · Card list · Science cards · Kernel
Uncommon card · Science
Kernel, an Uncommon card
In algebra, the kernel of a homomorphism is the relation describing how elements in the domain of the homomorphism become related in the image.
- Rarity
- Uncommon
- Domain
- Science
- ATK
- 74
- DEF
- 90
- Power
- 164
- Wikipedia reads a year
- 31,000
Power 164 (ATK + DEF): stronger than 85 % of WikiCards cards.
Kernel quiz: 3 questions
Three questions on the Kernel card, the way WikiCards duels ask them. Pick an answer, the facts are just below.
Find the missing word
A ______ is a function that preserves the underlying algebraic structure in the domain to its image.
Answer
homomorphism. A homomorphism is a function that preserves the underlying algebraic structure in the domain to its image. From the Kernel article on Wikipedia.
Which of these cards hits hardest (highest ATK)?
Answer
Palaeography. Palaeography 86 · Lee de Forest 80 · Biogeography 77 · Kernel 74 ATK in WikiCards.
Which of these Wikipedia articles is read the most in a year?
Answer
Seven Wonders of the Ancient World. Seven Wonders of the Ancient World 1,000,000 · Biogeography 45,000 · Kernel 31,000 · United States Consumer Product Safety Commission 8,300 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.
- A homomorphism is a function that preserves the underlying algebraic structure in the domain to its image.
- When the algebraic structures involved have an underlying group structure, the kernel is taken to be the preimage of the group's identity element in the image, that is, it consists of the elements of the domain mapping to the image's identity.
- For example, the map that sends every integer to its parity would be a homomorphism to the integers modulo 2, and its respective kernel would be the even integers which all have 0 as its parity.
Why it is Uncommon
Rarity in WikiCards follows a year of Wikipedia page views: the most read articles become Epic and Legendary cards. The Kernel article was read about 31,000 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 90: each hit it takes is cut by 36 %.
How to get Kernel
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 Kernel in the power ranking, all domains together.
- Arab cultureUncommon · Nature · ATK 79 DEF 85
- PalaeographyUncommon · Science · ATK 86 DEF 78
- Lee de ForestUncommon · Science · ATK 80 DEF 84
- Old Westbury, New YorkUncommon · Society · ATK 79 DEF 85
- MastertonUncommon · Society · ATK 78 DEF 86
- Nutrition facts labelUncommon · Society · ATK 78 DEF 86
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Credits
Text : Wikipedia, Kernel (revision), CC BY-SA 4.0. Photo : Cronholm144, CC BY-SA 3.0, Wikimedia Commons.





