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- Tetration abstract "In mathematics, tetration (or hyper-4) is the next hyper operator after exponentiation, and is defined as iterated exponentiation. The word was coined by Reuben Louis Goodstein, from tetra- (four) and iteration. Tetration is used for the notation of very large numbers. Shown here are examples of the first four hyper operators, with tetration as the fourth (and succession, the unary operation denoted taking and yielding the number after , as the 0th):Additiona succeeded n times.Multiplicationa added to itself, n times.Exponentiationa multiplied by itself, n times.Tetrationa exponentiated by itself, n times.where each operation is defined by iterating the previous one (the next operation in the sequence is pentation). The peculiarity of the tetration among these operations is that the first three (addition, multiplication and exponentiation) are generalized for complex values of n, while for tetration, no such regular generalization is yet established; and tetration is not considered an elementary function.Here, succession is the most basic operation; addition is a primary operation, though for natural numbers it can be thought of as a chained succession of n successors of a; multiplication is also a primary operation, though for natural numbers it can be thought of as a chained addition involving n numbers a; and exponentiation can be thought of as a chained multiplication involving n numbers a. Analogously, tetration can be thought of as a chained power involving n numbers a. The parameter a may be called the base-parameter in the following, while the parameter n in the following may be called the height-parameter (which is integral in the first approach but may be generalized to fractional, real and complex heights, see below).".
- Tetration thumbnail TetrationComplexColor.png?width=300.
- Tetration wikiPageExternalLink tetdocs.
- Tetration wikiPageExternalLink 8c1c4facb7e4bd6d.
- Tetration wikiPageExternalLink index.php.
- Tetration wikiPageExternalLink 350321.
- Tetration wikiPageExternalLink PowerTower.html.
- Tetration wikiPageExternalLink Tetration.
- Tetration wikiPageExternalLink real-hyper4.
- Tetration wikiPageExternalLink index.html.
- Tetration wikiPageExternalLink exponents4.html.
- Tetration wikiPageExternalLink Extensions.pdf.
- Tetration wikiPageExternalLink tower.htm.
- Tetration wikiPageExternalLink www.tetration.org.
- Tetration wikiPageID "482379".
- Tetration wikiPageRevisionID "603229596".
- Tetration hasPhotoCollection Tetration.
- Tetration subject Category:Binary_operations.
- Tetration subject Category:Exponentials.
- Tetration subject Category:Large_numbers.
- Tetration type Abstraction100002137.
- Tetration type Battalion113775093.
- Tetration type Exponential113789462.
- Tetration type Exponentials.
- Tetration type Function113783816.
- Tetration type IndefiniteQuantity113576355.
- Tetration type LargeIndefiniteQuantity113757724.
- Tetration type LargeNumbers.
- Tetration type MathematicalRelation113783581.
- Tetration type Measure100033615.
- Tetration type Relation100031921.
- Tetration comment "In mathematics, tetration (or hyper-4) is the next hyper operator after exponentiation, and is defined as iterated exponentiation. The word was coined by Reuben Louis Goodstein, from tetra- (four) and iteration. Tetration is used for the notation of very large numbers.".
- Tetration label "Potenzturm".
- Tetration label "Tetración".
- Tetration label "Tetracja".
- Tetration label "Tetratie".
- Tetration label "Tetration".
- Tetration label "Tetrazione".
- Tetration label "Tetração".
- Tetration label "Tétration".
- Tetration label "Тетрация".
- Tetration label "テトレーション".
- Tetration label "迭代冪次".
- Tetration sameAs Tetrace.
- Tetration sameAs Potenzturm.
- Tetration sameAs Tetración.
- Tetration sameAs Tétration.
- Tetration sameAs Tetrazione.
- Tetration sameAs テトレーション.
- Tetration sameAs 테트레이션.
- Tetration sameAs Tetratie.
- Tetration sameAs Tetracja.
- Tetration sameAs Tetração.
- Tetration sameAs m.02fts6.
- Tetration sameAs Q194324.
- Tetration sameAs Q194324.
- Tetration sameAs Tetration.
- Tetration wasDerivedFrom Tetration?oldid=603229596.
- Tetration depiction TetrationComplexColor.png.
- Tetration isPrimaryTopicOf Tetration.
