Knuth's up-arrow notation

GPTKB entity

Statements (46)
Predicate Object
gptkbp:instance_of gptkb:original_score
gptkbp:analyzes a tower of exponents
gptkbp:can_be_extended_by more than three arrows
gptkbp:can_create numbers larger than those expressible by exponentiation
gptkbp:concept discrete mathematics
gptkbp:conducts_research_on computability theory
gptkbp:depicts the concept of infinity
gptkbp:describes hyperoperation
gptkbp:has_applications_in algorithm analysis
https://www.w3.org/2000/01/rdf-schema#label Knuth's up-arrow notation
gptkbp:included computer science curricula
gptkbp:includes one arrow for exponentiation
three arrows for pentation
two arrows for tetration
gptkbp:introduced_in gptkb:Donald_Knuth
gptkbp:is_a_form_of notation for large numbers
gptkbp:is_a_notation_for iterated exponentiation
gptkbp:is_a_notation_that has historical significance in mathematics
requires careful interpretation
has influenced the development of other notations
simplifies the representation of large numbers
gptkbp:is_a_notation_that_can be confusing to beginners
lead to misunderstandings without context
gptkbp:is_a_subject_of mathematical logic
research in mathematics
gptkbp:is_a_tool_for understanding large numbers
gptkbp:is_defined_recursively for multiple arrows
gptkbp:is_described_as large combinatorial numbers
gptkbp:is_discussed_in mathematicians and computer scientists
gptkbp:is_often_compared_to gptkb:Knuth's_factorial_notation
gptkbp:is_often_discussed_in mathematical literature
gptkbp:is_often_used_in theoretical computer science
other mathematical notations
gptkbp:is_part_of combinatorial mathematics
gptkbp:is_related_to Ackermann function
large number theory
gptkbp:is_represented_in a sequence of operations
gptkbp:is_standardized_by exponentiation
gptkbp:is_used_for expressing very large integers
the growth rates of functions
gptkbp:is_used_in gptkb:computer_science
proofs of mathematical theorems
gptkbp:named_after gptkb:Donald_Knuth
gptkbp:bfsParent gptkb:Donald_D._Knuth
gptkb:Concrete_Mathematics
gptkbp:bfsLayer 4