hasAsymptotics

P91243
predicate

Indicates that one entity describes or determines the asymptotic behavior or growth rate of another entity, typically in a limiting or large-scale sense.

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All labels observed (7)

Label Occurrences
asymptoticGrowth 2
givesAsymptoticsFor 1
hasAsymptoticRelation 1

Description generation (PDg)

The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.

Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning.  
# Instructions
Focus on describing the relationship, not the entities themselves. 
# Response Format
Begin the description with \' Indicates...\'
Input
Predicate: hasAsymptotics
Generated description
Indicates that one entity describes or determines the asymptotic behavior or growth rate of another entity, typically in a limiting or large-scale sense.

Sample triples (8)

Subject Object
Hayward black hole model asymptotically Schwarzschild at large radius ⓘ
Erdős–Kac theorem log log n via predicate surface "meanAsymptotic" ⓘ
Erdős–Kac theorem log log n via predicate surface "varianceAsymptotic" ⓘ
Erdős–Stone theorem extremal function ex(n,H) via predicate surface "givesAsymptoticsFor" ⓘ
Erdős–Stone theorem edge number of Turán graph T_{χ(H)-1}(n) for non-bipartite H via predicate surface "saysAsymptoticallyEquivalentTo" ⓘ
Catalan numbers C_n ~ 4^n / (n^{3/2} * sqrt(pi)) via predicate surface "asymptoticGrowth" ⓘ
Bell numbers B_n \sim \frac{1}{\sqrt{n}} \left(\frac{n}{W(n)}\right)^{n+1/2} e^{\frac{n}{W(n)}-n-1} via predicate surface "asymptoticGrowth" ⓘ
Beta function via asymptotics of Gamma function for large parameters via predicate surface "hasAsymptoticRelation" ⓘ