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- Pentation abstract "In mathematics, Pentation is the operation of repeated tetration, just as tetration is the operation of repeated exponentiation.Pentation can be written in Knuth's up-arrow notation as or .In this notation, represents the exponentiation function , which may be interpreted as the result of repeatedly applying the function , for repetitions, starting from the number 1. Analogously, , tetration, represents the value obtained by repeatedly applying the function , for repetitions, starting from the number 1. And the pentation represents the value obtained by repeatedly applying the function , for repetitions, starting from the number 1. Alternatively, in Conway chained arrow notation, . Until a consensus for the definition of tetration to real heights is reached, pentation can't even be defined to an integer exponent higher than 1 when it's base is not a whole number.[citation needed]The values of the pentation function may also be obtained from the values in the fourth row of the table of values of a variant of the Ackermann function: if is defined by the Ackermann recurrence with the initial conditions and , then .The word "Pentation" was coined by Reuben Goodstein in 1947 from the roots penta- (five) and iteration. It is part of his general naming scheme for hyperoperations.".
- Pentation wikiPageID "2067772".
- Pentation wikiPageRevisionID "603638567".
- Pentation hasPhotoCollection Pentation.
- Pentation subject Category:Arithmetic.
- Pentation subject Category:Binary_operations.
- Pentation subject Category:Exponentials.
- Pentation subject Category:Large_numbers.
- Pentation type Abstraction100002137.
- Pentation type Battalion113775093.
- Pentation type Exponential113789462.
- Pentation type Exponentials.
- Pentation type Function113783816.
- Pentation type IndefiniteQuantity113576355.
- Pentation type LargeIndefiniteQuantity113757724.
- Pentation type LargeNumbers.
- Pentation type MathematicalRelation113783581.
- Pentation type Measure100033615.
- Pentation type Relation100031921.
- Pentation comment "In mathematics, Pentation is the operation of repeated tetration, just as tetration is the operation of repeated exponentiation.Pentation can be written in Knuth's up-arrow notation as or .In this notation, represents the exponentiation function , which may be interpreted as the result of repeatedly applying the function , for repetitions, starting from the number 1.".
- Pentation label "Pentation".
- Pentation label "Pentation".
- Pentation label "Пентация".
- Pentation label "ペンテーション".
- Pentation sameAs Pentation.
- Pentation sameAs ペンテーション.
- Pentation sameAs m.0661qgc.
- Pentation sameAs Q2329893.
- Pentation sameAs Q2329893.
- Pentation sameAs Pentation.
- Pentation wasDerivedFrom Pentation?oldid=603638567.
- Pentation isPrimaryTopicOf Pentation.