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.
Observed surface forms (6)
- asymptoticGrowth ×2
- givesAsymptoticsFor ×1
- hasAsymptoticRelation ×1
- meanAsymptotic ×1
- saysAsymptoticallyEquivalentTo ×1
- varianceAsymptotic ×1
Sample triples (8)
| Subject | Object |
|---|---|
| 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" ⓘ |
| Catalan numbers | C_n ~ 4^n / (n^{3/2} * sqrt(pi)) via predicate surface "asymptoticGrowth" ⓘ |
| Erdős–Kac theorem | log log n via predicate surface "meanAsymptotic" ⓘ |
| Erdős–Kac theorem | log log n via predicate surface "varianceAsymptotic" ⓘ |
| Erdős–Stone theorem | edge number of Turán graph T_{χ(H)-1}(n) for non-bipartite H via predicate surface "saysAsymptoticallyEquivalentTo" ⓘ |
| Erdős–Stone theorem | extremal function ex(n,H) via predicate surface "givesAsymptoticsFor" ⓘ |
| Hayward black hole model | asymptotically Schwarzschild at large radius ⓘ |